diff --git "a/data/dm_maths/full_data_1/205_11255.jsonl" "b/data/dm_maths/full_data_1/205_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/205_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let l be 1\/(-2) - 72\/(-16). Let d(f) = -4 + l + f**2 - f. Let a be d(1). Which is greater: a or 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f**2 + 27626964*f - 55253944 = 0.\nAnswer: -6906743, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - -111413530?\nAnswer: 111413524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -14 + 6*x - 392 - 7*x + 14*x**3 in the form b + f*x**2 + u*x**3 + t*x and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/3)\/(2\/384). Let m be 6\/(-15) + g\/20. Let i(d) = d - 5. Let z be i(m). Which is the nearest to z? (a) -2 (b) -1\/9 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4849986 and 36.\nAnswer: 29099916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 946049 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 199*p**2 - 1780*p + 223. Give z(9).\nAnswer: 322","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -500362 (base 10) to base 8\nAnswer: -1721212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 666*i + 15*i - 1 to j*i + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 4 + 8*o**3 - 12\/5*o**4 - 36\/5*o - 4\/5*o**5 - 8\/5*o**2 = 0?\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 - 4*v + 4. Let y be n(-3). Let a(p) = 12*p**2 + 8*p**2 + 8*p**2 - y*p**2 - 3*p**2. Let f(b) = 21*b**2. Calculate f(a(g)).\nAnswer: 6804*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*a**3 - 62*a**2 + 60*a**2 - 21*a**3 in the form z + g*a + m*a**3 + w*a**2 and give m.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 - 0 - (-8)\/((-272)\/374).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1513 + -1513.4. Which is smaller: m or -96?\nAnswer: -96","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-28 + 28 - 47*p + (44 + 9*p - 44)*(-1 - 3 + 6))*(-1 + 5 - 2*p - 3) to the form k + g*p**2 + f*p and give f.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 316*z**2 - 124*z + 1 - 96*z + 323*z - 103*z - 4*z**3 as v*z**2 + m*z**3 + g*z + b and give v.\nAnswer: 316","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 + 10*v - 10. Let g be s(9). Is (5 + g + 3)*59 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/356 and 47\/(-480) - (-537)\/(-895).\nAnswer: 8544","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, r: 3, v: 13}. Give prob of picking 1 r, 1 n, and 1 v.\nAnswer: 13\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5824\/367 or 17?\nAnswer: 5824\/367","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 183870 rounded to the nearest one thousand?\nAnswer: 184000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 + -7. Let j(v) = 4*v**3 - n - 2 + 5*v**2 - 5*v**3 - 3*v. Let s be j(4). Solve -2*h + h = s for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 14582665 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20643.\nAnswer: 3, 7, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1069 - -1070. Let p(o) = -7*o**3 - 2*o + 2. Let w(z) = z**3. Calculate c*p(q) + 3*w(q).\nAnswer: -4*q**3 - 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1101100011001000 (base 2) to base 7\nAnswer: 320540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -24*q**2 + 70*q - 14. Let g(n) = -73*n**2 + 209*n - 41. Let k(p) = -6*g(p) + 17*j(p). Find m, given that k(m) = 0.\nAnswer: 2\/15, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 189.\nAnswer: -2\/189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1440 = 23*k - 8*k. Calculate the lowest common multiple of 50 and k.\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 758077 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -117\/2 or -60?\nAnswer: -60","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 + 15 = -13*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 32 (base 4) to base 12\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4008 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 - -10. Let z be (-6)\/k + (-7)\/(-14). Which is the closest to 0? (a) -5 (b) -1 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -32936 - -33177. Calculate the lowest common multiple of o and 1687.\nAnswer: 1687","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 24\/9997 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t + 1. Let y = -1 - -3. Suppose -y*u - 8 = -6*u. Let z be u + -1*2 + -1. Determine h(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 AM and 1:15 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 5*g = 10449 - 10429, 7*r - 5*g - 40 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + 14, 2*a - 4*v - 123 = -21. Let y = 18 + -14. What is the closest to -2 in 0.4, a, y?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 162861699.2 and -0.3.\nAnswer: 162861698.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 + 6*b - 3. What is the tens digit of h(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1180002871 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -7 + a**2 + 3*a**2 - a**2 - 4*a**2 + 6*a. Let d be f(3). Calculate the greatest common divisor of 5 and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v**2\/2 + 93*v - 3432 = 0. Calculate v.\nAnswer: -88, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 - 9 = -4*s + 4*w, 12 = 3*s - 5*w. Let k be 3 - (-9)\/((-12)\/4). Suppose 3*f - 36 + s = k. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1058 - 800*i - 1058 + 795*i.\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 132743 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*i**6*l + 19*i**4*l**2 - 2*i**2*l + 21*i**2 + 9*l**2 wrt i.\nAnswer: -360*i**3*l + 456*i*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = -5*v - 29, -10*v = -5*v + 4*a - 13 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -p + 6*x - 27, -35 = p - x. Let y = 52 + p. Let j = y - 4. What is the greatest common divisor of 11 and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 2*b**3 - b**2 - b. Let r(o) = 6*o**3 - 2*o**2 - 320*o - 1. What is 2*h(j) - r(j)?\nAnswer: -2*j**3 + 318*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1380813258 to four decimal places.\nAnswer: 0.1381","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - u + 2*h - 80 = 0, -735*u - 5*h + h = -740*u - 147 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 1227*r**2 + 8*r - 8. Let x be w(1). Suppose -654 = -9*m + x. Calculate the remainder when m is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5\/40*9 + 783\/(-696). Factor -128\/9*l**2 + 0*l + 32\/9*l**3 + a - 2\/9*l**4.\nAnswer: -2*l**2*(l - 8)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5151, 10275, 15283, 20175, 24951?\nAnswer: 29611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of -w**4\/2 + w**3 - w - 3. Let v be u(2). Let k = 13 + v. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in f**4\/4 + 29*f**3\/2 - 1461*f**2 - 31829*f\/2 + 69443\/4 = 0?\nAnswer: -107, -11, 1, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/13, 5, 0.5 in decreasing order.\nAnswer: 5, 0.5, 6\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 43292\/27 - 1603. Find the common denominator of -17 + 21 - 58\/(-24) and n.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 12 - 4?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 172991 and 182?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.65, 57, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8 take away -0.412?\nAnswer: 1.212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 3\/2, -2\/7, 0.5, -3\/322?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 9, -5, -8, 6 in increasing order.\nAnswer: -8, -5, -3, 6, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5676895277 + 9.\nAnswer: 9.5676895277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/28124 and -13\/5159330.\nAnswer: 815174140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -10*m**4 - 16*m**3 + 8*m**5 - 13*m**5 + 11*m**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 956291.\nAnswer: 7, 67, 2039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3800206 is divided by 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 - -15. Sort -1, -5, v in increasing order.\nAnswer: -5, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, n: 1, z: 1, e: 2}. What is prob of picking 1 n, 1 e, and 1 m?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 41.993091 rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 2\/9 = -66493?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -453.1 + 481. Let r = 22.9 - n. Which is the third smallest value? (a) r (b) 0 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 229998.\nAnswer: 2, 3, 38333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1132448 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 - 3*z**2 + 2*z + 2. Let g be i(2). Suppose 3*f = 5*b + 59 + 17, b = g*f - 39. What is the remainder when f is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*q**2 + 301954*q + 1811652 = 0. Calculate q.\nAnswer: -150971, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4209 and 207?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 5 = 5*x. Let o(c) = 3*c + 6. Let a be o(x). What is the tens digit of (-6)\/(a\/(-3)) + 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 PM and 10:26 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*k**3 + 2 - 2*k + 2*k + 0*k**3 in the form g*k + q + w*k**2 + p*k**3 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 - 1 + 3 + 22*w - 1 - 4. What are the prime factors of l(18)?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -174, -84, -6, 54, 90, 96?\n\"Answer: -c**3 + 97*c - 270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 54\/5 of a millennium?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -11*q**3 - 2*q**2 + 4*q + 5. Let o be i(-1). Suppose 0*w + o*w - 500 = 0. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 AM and 10:31 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 - 389*r + 10762. Determine m(30).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 1 + 12 = 2*s, 5*s - 22 = -3*h. Let b(m) = -m + 11. Let x be b(5). Let u = -40 - -42. Solve s*r - 37 = -2*n + x*n, -n + 7 = u*r for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, u: 7, a: 3}. Give prob of picking 2 a, 1 u, and 1 h.\nAnswer: 63\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 238602 and 0.5.\nAnswer: 119301","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 = -3*z + 5*w, 4*w + 20 - 24 = -4*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -54 divided by -74300?\nAnswer: 27\/37150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 443905?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 1 + 2 + (sqrt(11) + (sqrt(22)*2)\/sqrt(2))**2.\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 2420132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (4\/(-10))\/(16\/(-3160))*353 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 - 10.6. Let v = -2 - t. Let r = -6\/11 + 7\/33. Which is the second biggest value? (a) v (b) 1\/2 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -24 - -44. Let j(u) = c*u + 10*u - 3*u. Let v(y) = -510 + 510 - y. What is v(j(q))?\nAnswer: -27*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -76007607.73928 and -0.2?\nAnswer: 76007607.53928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 1 - 3, -34 = -4*k - 3*y. Suppose s + 5 = -4*s. Calculate the remainder when k is divided by s + 4 + 0 + -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + ((sqrt(300) - (sqrt(300) + 1)) + -2 - ((1*sqrt(300) - sqrt(300)) + -5)))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 99951.42 centuries to years.\nAnswer: 9995142","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oommomm. Give prob of sequence omoo.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14312)\/(-46514))\/(8\/52*-3)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(((-1)\/(-1))\/(-1)). Suppose -r*k = 3 - 0. Does k = -2\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/4)\/(u*u\/(u\/(u*(u*u*u\/u**1)\/u*u)*u)*u))\/((u**2*u*u)\/((((u**(5\/2)\/u)\/u)\/u*u)\/u))*(u**11\/u*u*u*u*u*u**3)**25 assuming u is positive.\nAnswer: u**(1667\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y**3\/5 - 2264*y**2\/5 - 31594*y - 1466388\/5 = 0 for y.\nAnswer: -1058, -63, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of m**6\/240 + m**5\/60 - m**4\/48 - m**3\/6 + 7*m**2. Suppose h(l) = 0. Calculate l.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -63 + 59 - (-9 + 24).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24 + -17. Let b(r) be the third derivative of 1\/210*r**a + 1\/96*r**6 - 2*r**2 + 0 + 0*r**4 + 0*r**3 + 0*r + 1\/240*r**5. Factor b(o).\nAnswer: o**2*(o + 1)*(4*o + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 22 - -118.\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1205 + 1178. What is the closest to 0 in -0.08, 0, w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 217053 is divided by 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 37796431 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -14 and 8.\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + ((sqrt(2736) - sqrt(2736)*2 - sqrt(2736)) + 3)**2 + -2)*3.\nAnswer: -432*sqrt(19) + 32853","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(6\/5)*f**(-2\/7)*(f\/f**7)**(-4\/3))**(2\/9) assuming f is positive.\nAnswer: f**(208\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/7, -312.9, 5531, 0 in decreasing order.\nAnswer: 5531, 4\/7, 0, -312.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -24 - -30. Suppose 134 = d*u + 452. Is u >= -53?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 + 3*z**2 - 4*z - 9. Let w(n) = -4*n**3 - 8*n**2 + 14*n + 28. Let d(s) = -7*t(s) - 2*w(s). Calculate d(6).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-10) + (-418)\/110?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -241 - 371 = -204*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 39807 to the nearest integer?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20911 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1578)\/(-33) - (-20)\/110. Suppose 36*r - 40*r = -q. Solve -a + 17 = 5*g + 1, 2*g + 5*a = -r for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of f**3*x**2 + 3*f**3*x + 2742*f**3 - 3*f**2*x**2 - f**2*x - 13*f*x**2 - 12*x**2 wrt f.\nAnswer: 6*x**2 + 18*x + 16452","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 149 + 296 = 133 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6142894 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6872.6 + -6873. Put b, 2, -1.1, -6 in increasing order.\nAnswer: -6, -1.1, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 5 = -3*w - t, -w = 3*t + 13. Let j = w + 4. Suppose 9 = -3*g - 3*k, 5*g - k = -2*k + 1. Solve -f + j = -g for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 - 5. What is the second derivative of 2*d**5 + k*d - d - 3*d wrt d?\nAnswer: 40*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14003 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -63*p + 7. Let h(f) = -9*f + 38. Let j(a) = 10*a - 16. Let g(w) = -2*h(w) - 5*j(w). Determine 11*g(m) - 6*l(m).\nAnswer: 26*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 0 - 1 = 0, 4*p + 41189 = 5*o. Suppose -8*i + o = 1477. Is 10 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - -4. What is the least common multiple of f and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 42*n - 126713 - 12324 - 50005. List the prime factors of n.\nAnswer: 7, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pkjkkvjnjssvsnk. Give prob of picking 1 k and 1 p.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -7 - 5 + z + 22 - 10. Let a(t) be the second derivative of 3*t**3\/2 - t. Give n(a(j)).\nAnswer: 9*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 14143448 divided by -18392?\nAnswer: -769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 74, 896, 1744, 2630, 3566, 4564, 5636, 6794?\nAnswer: 8050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 1 + 7)*(8 - 4 + 35*i + 10*i) to j*i + n and give j.\nAnswer: 225","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2076, 2070, 2058, 2040?\nAnswer: 2016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*h**4 + 30*h**2 - 57*h?\nAnswer: -36*h**2 + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4\/7 (b) -2\/55 (c) -0.07 (d) -134 (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -203, -204, -205, -206, -207, -208?\nAnswer: -209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -8\/91 >= 0.083?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 7:25 AM?\nAnswer: 3:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 89 + -80. Find the first derivative of -d - 4*x - 20 + 0*x wrt x.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31878, 61273, 90668?\nAnswer: 120063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + 10. Suppose 0 = -168*v - 70*v + 1338 + 1042. Sort v, 3, 5, o in decreasing order.\nAnswer: o, v, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2908700 to the nearest ten thousand.\nAnswer: -2910000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 13) to base 9\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 20 = 4*g, -16*j + 14*j - 14 = -3*g. Let l(a) = 3*a**3 - 2*a**2 - 2*a + 1. Let c(w) = 10*w**3 - 7*w**2 - 7*w + 2. Calculate j*c(d) - 7*l(d).\nAnswer: -d**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express ((3 - 3 - 2*j)*(3*j - j + j) + 4*j**2 - 9*j**2 + 74*j**2)*(0*j + 4*j - 3*j) in the form g + k*j + u*j**2 + x*j**3 and give x.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 30\/25*10\/4. Let p(i) = -8*i - 22. Let w be p(-3). Factor 20*x**5 + 8*x**w + 10*x**4 - 16*x**5 - 4*x**q - 18*x**4.\nAnswer: 4*x**2*(x - 2)*(x - 1)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (1 + (-5 - -3)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*l = -40*l + 164. Let b = 382 + -542. Let m = l - b. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 2*k = -15, 5*m + 2*k + 2 + 3 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t**2 + 5*t**2 + 0*t**2)*(3771 - 4084 - 2765 - 3319 - 3922).\nAnswer: -10319*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*h - 3*h - 16*h to q + k*h and give k.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 + (71 - 38) + -26?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1406 (b) -4 (c) 54 (d) 0.2 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 3*b - 1. Let k(v) = v - 6. Let z be k(7). Let w be c(z). Let x(y) = y**2 + 2*y - 2. Let t be x(1). Do t and w have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31760.81 millimeters to meters.\nAnswer: 31.76081","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-3))\/(4 - (-4)\/(144\/(-146)))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3159 and 39?\nAnswer: 3159","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 + 2\/(3 + -1). Suppose 0 = -y + u - 4. What is the derivative of 4 - 14*t**2 + 13*t**2 - y wrt t?\nAnswer: -2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1429, -607, 0 in decreasing order.\nAnswer: 1429, 0, -607","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 3300 = -3*b, 4*f = -4*b + 2472 + 136. List the prime factors of f.\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 - -12. Solve 2*l = -5*r + 1, -l - 6 = -b*r - 2*r for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 4 (c) -152923 (d) 0 (e) 10 (f) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4964*d**3 + 3139*d**2.\nAnswer: 29784","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 386886358?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1548 - -1546. Suppose 3*a + 4*g - 11 = 0, a - 6 - 2 = 3*g. What is the nearest to 0.1 in a, -4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8\/13? (a) -0.2 (b) 0.17 (c) -3\/4 (d) 0.269 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6129 divided by -3848?\nAnswer: 6129\/3848","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/(160\/12) + 3\/5. Solve -6*k + 6 = -2*v - 2*k, g = 4*v + 4*k + 12 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that y**4\/3 + 22*y**3\/3 + 27*y**2 - 412*y\/3 + 308\/3 = 0.\nAnswer: -14, -11, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-91 + 7 - -10) + 14.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 minus -15944191?\nAnswer: 15944182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*i + i - 17 = 2*y, -4*y = 44 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 212553032 (base 6) in base 2?\nAnswer: 1110011010011111001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1581196913.\nAnswer: 37963, 41651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5\/4 (b) -4 (c) 4 (d) -1 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -3*f**3 - 68*f**2 - 252*f - 3. Calculate w(-18).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 22528863937 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11.333 + -122.667. Let f be 4\/10*9\/(-6). Which is the biggest value? (a) 2 (b) w (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 take away -649.8?\nAnswer: 649.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 + -2)\/(-7 + 8) + 4.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 17, i: 3}. What is prob of sequence uiuu?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -165.8148 - 0.1852. Which is smaller: -0.1 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2327*g - 52*g + 2622*g + 86*g + 7884*g.\nAnswer: 12867*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 20 divided by 4\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g**2 + 2*g**2 - 7*g**2 + 8)*(-7 + 4 + 1).\nAnswer: 4*g**2 - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**4*x)\/x)**29*x\/(x*x**7)*x\/x**(2\/21)*x*x assuming x is positive.\nAnswer: x**(2959\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 798490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express n**2 - 4*n**2 + 42 + 61 + 6*n**2 - n**2 as z*n**2 + o + l*n and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 323 - 319. Solve -3*p + 18 = -3*x - 0*p, 0 = n*x + 4*p for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 275409?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 172?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 451.4 - 451.62. Which is the biggest value? (a) -1\/7 (b) 438 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9860 by -170.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 59303?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a92768 + 4?\nAnswer: a92770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5.6 or 0.06886?\nAnswer: 0.06886","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 43*b**2 - 6. Let m(a) be the third derivative of -a**5\/60 + a**3\/6 - 9*a**2. Let z(w) = -h(w) - m(w). Find the first derivative of z(l) wrt l.\nAnswer: -84*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1008 and 2381568.\nAnswer: 7144704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -5*a**2 - a. Let c(t) = 4*t**2 + t. Let q(p) = -6*c(p) - 5*i(p). Let o be q(0). Solve o = -5*f + 5, f - 4*f + 9 = 3*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != 12155764.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -4*g**2 - 10*g - 4. Let d(b) = b**2 + 3*b + 1. Let m(n) = -7*d(n) - 2*y(n). Let w be m(0). Calculate the greatest common divisor of 5 and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 110 + -772\/7. Let j be (12\/5)\/(2\/(-10)). Let s = -10 - j. Which is the third biggest value? (a) 0.3 (b) n (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 + 354\/(-39))\/(3864\/17940)?\nAnswer: 30\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(117)\/sqrt(324) + sqrt(13) + sqrt(52) + 1)*6*-4.\nAnswer: 48 + 152*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 480 + -400. Let u = a - 4. What is the highest common factor of u and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + 1312?\nAnswer: 1313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -e53 (base 16) in base 11?\nAnswer: -2834","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rq when two letters picked without replacement from {x: 1, q: 2, r: 1, j: 2, u: 6}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/2 + (-51)\/12. Suppose 4*i + 0*p = -5*p - 7, -2*p - 10 = 4*i. Let y be (-1)\/(-2)*2*i. Which is the biggest value? (a) y (b) -2 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-8)\/10)\/(6\/(-15)). Let j(f) = -f + 10. Let q be j(24). Let h be (7\/(q\/(-3)))\/(12\/32). Solve a*o + p - 22 = -4*p, h*o = 3*p - 8 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 729\/8, 1, 0.4?\nAnswer: 729\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + -3. Suppose 13*j - 3*j = -0*j. Suppose -v + g + 417 = j, 849 = -l*v + 4*v + g. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 17*p**2 - 31*p - 32. Let m(t) = -9*t**2 + 16*t + 17. Suppose -176*n + 166*n + 60 = 0. Let z(v) = n*g(v) + 11*m(v). What is z(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 23 = 3, 0 = -5*j + x - 4. Does j = 8\/129?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 336641 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 454 + 39 = 29*z + 58. What is the remainder when 0 + 26 - -1*1 is divided by z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0012486947 to four dps.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15.23 + 15. Let y = -62.905 + 62.705. Which is the nearest to 0? (a) y (b) p (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*b**4 - 5*b**2 + 5*b**2 + (-3*b**3 - 3*b**2 + 3*b**2)*(-1 + 2*b + 1) + b**4 - 2*b + 2*b as z*b**4 + w*b + s + j*b**2 + a*b**3 and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 465, -5, -98158 in descending order.\nAnswer: 465, -5, -98158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 251831?\nAnswer: 251831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (2\/(-3))\/((-10)\/124995 + 0)?\nAnswer: 13, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 + 11*j**2 - 1. Let o = 13 + -8. Is w(o) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, r: 7}. What is prob of sequence ee?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-8)*k*k*k*k\/(k\/(k**(-10)\/k))*k**(-5)\/k*k*k*k**(-10))**(-33) assuming k is positive.\nAnswer: k**990","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-24)*g*g**(-5)*g*g*g\/(g*(g\/(g\/g**(-11\/5)*g))\/g*g)*(g*(g*g*g**(-25))\/g)\/g assuming g is positive.\nAnswer: g**(-234\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(6)\/sqrt(3) + 5)*-2.\nAnswer: -20 - 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 3\/4708?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17 + 14. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 255, 630, 1305, 2436, 4179, 6690, 10125, 14640?\nAnswer: 20391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the third derivative of 4073*n**6\/120 - n**5\/60 - 110*n**3\/3 - 5596*n**2. What is the third derivative of l(p) wrt p?\nAnswer: 24438","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 - (-5 + 13 - -2).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 73791164?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 - 3 - (-37)\/((-148)\/(-2496)). What is the greatest common factor of 20 and a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d, 0 = -5*u - 8*d + 3*d. Suppose u = s - 2*s + 163. List the prime factors of s.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 0*o - 10 = 4*o, -4*r - 2*o - 2 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-14) - (-30)\/(-7). Which is the third biggest value? (a) 3 (b) i (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2517683, -5035380, -7553077, -10070774, -12588471?\n\"Answer: -2517697*r + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 0*p - 2*p - 2, 3*z - 34 = 4*p. Let g(x) = x - 11. Let j be g(z). Let w be (-18)\/705*j + 0. Which is smaller: w or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 110572576?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 40 = -4*a + 56, 0 = -5*c + a + 50 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 5*o + 8. Suppose 3*y - o*d - 381 = 0, 0 = -2*y + d + 230 + 20. List the prime factors of y.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-406560)\/(-1188))\/220)\/(8\/(-63))?\nAnswer: -49\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 509647764?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.0682 + -0.3682. Which is the second biggest value? (a) -4 (b) -3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -47\/13 - -898\/65. Let b = f + -163\/15. What is the smallest value in 3\/2, -2, -1, b?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59586 (base 10) to base 11.\nAnswer: 4084a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 30*a. Let j(o) = 2*o**2 + 31*o + 76. Let u be j(-13). Let c(x) = u*x + 25956 - 25956. Give c(i(f)).\nAnswer: 330*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -144 + 145. Let i be (9\/6)\/(6\/(-8)). What is the nearest to 2\/3 in l, -2\/3, i?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-12*l + l - 2*l)*(14 + 16 - 18)*(3*l - l**2 - 3*l)*(-4 + 4 - 8*l) to the form m*l**4 + k + v*l**2 + g*l**3 + o*l and give m.\nAnswer: -1248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 + 20*a**2 - 6*a - 469. Give y(-19).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -72 - 42753?\nAnswer: -43045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1385762245?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the third derivative of -b**4\/24 + 3*b**2 - 2*b - 4827. Let d(p) = -2*p - 1. Let m = -8 - -3. Give m*k(j) + 2*d(j).\nAnswer: j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t + 12. Let n = -106 - -110. Let m be (n\/(-18))\/(-1) + (-10)\/45. Calculate l(m).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 315895448?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13169?\nAnswer: 13, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 896 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: Let b = 3 - 3. Suppose 0 = k - 3, -2*w = -3*k + 3. Let y = 10 + -10. Solve -p = y, -a + 1 = -w*p - b*p for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 > -312182.9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68 is divided by 15.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25271, 25282, 25293?\nAnswer: 25304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 PM and 12:22 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*m + 17*m - 3*m + 4*m - 13*m**2 wrt m.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137 = 4*q - 1185*t + 1181*t - 29, 9*t - 7*t - 58 = 6*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 + 1 = s. Let x = 43 + s. Solve x*r = -2*r - 2 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1.5, -4, 317, 37, 0.4?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 - 20*b**2 + 46*b + 26. Determine j(-22).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 5*f = -18*z + 150, 232 = 2*f - 7*f + 242 for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -1 (c) 5\/2 (d) -2 (e) -0.17\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -958160 divided by 31\nAnswer: -958160\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/11 in -172, -2\/5, 2, 1.06?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 700533500 rounded to the nearest 1000000?\nAnswer: 701000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/465032 and -55\/994?\nAnswer: 231120904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 146*u**5 - 154*u**3 - 18*u**2 + 20447*u + 12 wrt u?\nAnswer: 2920*u**3 - 924*u - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -47 + 45. Is r smaller than 65?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 14, 0.5, -1, -0.1 in decreasing order.\nAnswer: 14, 12, 0.5, -0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 21*x. Let v(y) = -20*y. Suppose 0 = 39*k - 50 - 106. Calculate k*v(w) + 3*p(w).\nAnswer: -17*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 344 and 48547.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1371 or 2\/9?\nAnswer: 0.1371","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 122110021102021 (base 3) in base 7?\nAnswer: 141563011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12\/19 - -1\/209. Suppose b - 2*b = -25. Calculate the common denominator of b and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrv when three letters picked without replacement from vvvrrvs.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 343, 2660, 8957, 21226, 41459, 71648, 113785, 169862?\n\"Answer: 332*i**3 - 2*i**2 - i + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 less than 97\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -159*z**4 + 85*z**4 - z**3 - 2*z**3 + 80*z**4 - 8*z + z**2 to g + i*z + t*z**4 + f*z**2 + h*z**3 and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 146*d + 45*d - 559 = 5935. Let c = 0.03 + 0.07. What is the nearest to c in d, 1, -4\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*l - 203 = -175 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = 254 - 248 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {e: 1, n: 1, d: 3, h: 2, s: 3}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4697984?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 2 m when four letters picked without replacement from {m: 12, d: 3}.\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -6983, 3, 4, 2 in decreasing order.\nAnswer: 5, 4, 3, 2, -6983","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 10*w**2 - 25*w + 18. Let m(v) = -2*v**2 + 4*v - 1. Let j(s) = 4*m(s) + o(s). Calculate j(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(1*1*((sqrt(1216) - sqrt(1216)*2)*-5*6 + 1))**2*2.\nAnswer: 1920*sqrt(19) + 4377604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 62*t + 26*t**2 - 62*t + (-3 - 2*t + 3)*(-t - t + 3*t) - t**2 - 2*t + 2*t as l + j*t**2 + z*t and give j.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 8:08 AM?\nAnswer: 9:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - s + 1127 = 7*i, 0 = -3*s + 6. Let n = 295 - i. What is the highest common factor of n and 1190?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28\/(-36)*1 + 4\/(-18).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s + 9. Let i be x(4). Solve -4*h + l = -i, -3*l - 12 = -4*h - 1 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -151533 + 22414?\nAnswer: -125115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1588158 = -74*r + 1589490 for r.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 3*k = 24, v + 4*k = -0*v + 20. Is v even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 6622*n**3 - 11*n**2 - 17*n + 34. Let w(h) = -2207*h**3 + 4*h**2 + 6*h - 12. Give 6*i(o) + 17*w(o).\nAnswer: 2213*o**3 + 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, 0, 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1, -0.5, 2, 12088?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*u - 70*u - 100 = 0. List the prime factors of u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 760.9093 litres to millilitres.\nAnswer: 760909.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1738 - -1740. Let k(h) be the third derivative of 13*h**g + 0 + 1\/6*h**3 + 1\/3*h**4 + 0*h. What is the first derivative of k(m) wrt m?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 930 and 368125?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 195596 is divided by 195003.\nAnswer: 593","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-5\/4))\/(f\/(f**(2\/15)\/f))*((f*f\/(f*f*f**(-1\/6)))\/f)**13)**(3\/10) assuming f is positive.\nAnswer: f**(-777\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1181 = -3*b + 9145. Suppose 0 = 4*c - 82 + b. What is c rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 5) to base 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 82955, 82615, 82059, 81287, 80299, 79095, 77675?\n\"Answer: -108*f**2 - 16*f + 83079","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in seventeen halves of a millennium?\nAnswer: 850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 85\/20 + -4 - (-33)\/12. Solve -5*h - u = 13, -u - u = -s*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 AM and 12:50 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -13*g**2. Let h(i) = -164*i**2 - 51*i + 6. Let r(z) = -32470*z**2 - 10115*z + 1190. Let u(f) = 1190*h(f) - 6*r(f). What is u(p(t))?\nAnswer: -57460*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 308*u - 27*u + 37170 = 57*u - 406*u for u.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -3. Suppose -s - s = t. Solve 3*h = 12 - s for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/4 - 18\/(-8). Suppose -5*x + 292*i - 293*i + 8 = 0, -i = -x + 10. Solve 0 = -c - x*c + 4, 4*c = l + z for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65*y - 88*y - 79*y.\nAnswer: -232*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-10)\/3*(-6)\/5. Let u = m + 4. What is the smallest common multiple of 10 and u?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 9 = 5*z. Suppose z*p + 3925 = 8*p + 4*w, -5*w = 0. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + 1 + 2 + (sqrt(300) - (sqrt(300) + -1)) + sqrt(300) + -1*(2 + sqrt(300)) + -4)*-3 + -4)**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 AM and 2:12 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*4*(1*sqrt(304) + -4)**2*6.\nAnswer: -4608*sqrt(19) + 46080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-1\/7)*b**(-3\/8))**(-27))**(2\/3))**(-30) assuming b is positive.\nAnswer: b**(-3915\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -13 - 3 - 8) + 11.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 10:23 PM?\nAnswer: 7:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of j**3*k + 20*j**2*k + 382*j*k + k wrt j?\nAnswer: 6*j*k + 40*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 46176931 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2234, 4398, 6562?\nAnswer: 8726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 PM and 2:23 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 984639?\nAnswer: 3, 328213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -292 - -305. Let m(w) = 5*w**3 + 4*w**2 - 7*w + 1. Calculate the remainder when m(3) is divided by p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 15*m**3 - 49*m**2 - 18*m + 4. Let y be v(4). Solve 4*a + 140 = 4*g + y, 3*g + 2*a = 14 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(1\/(-3))*32\/48. Let s be 1\/(-4) - (-42)\/8. What is the derivative of 3 - 4*j**2 + 4*j**2 + 0*j**v + s*j**4 wrt j?\nAnswer: 20*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 16*m**3 + 5*m - 2. Let s(a) = -a**3 - 4*a**2 - 4*a. Let g be s(-3). Let h be o(g). Suppose t = -z - t + 109, -4*z + h = -t. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -31134.3 to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 - 912*i + 6218. What is q(7)?\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -63 + 15788644.\nAnswer: 15788581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 8136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 13 = -45. Let j = 21 - v. Suppose f = c, -3*f = -2*c - 2*c - j. Sort c, 3, 5.\nAnswer: c, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 270762357 to the nearest integer?\nAnswer: 647","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 5.6706 (b) -1 (c) -0.1 (d) -2734 (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 25 = -5*t, n + n - 10 = 0. Let y be 2\/(2\/t) + 7. Suppose 5 = 5*f + 25, 3*f = -y*g + 183. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*j + 9 + 12 - 21 to the form u*j + l and give u.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38241735?\nAnswer: 3, 5, 7, 59, 6173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, c: 1, o: 5}. Give prob of sequence oyyo.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 2\/15 (b) 5 (c) 0.3 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7569 + -7544. What is the remainder when 597 is divided by u?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2278 and 134.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -bc (base 13) in base 16?\nAnswer: -9b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 + 9*o**2 + 6*o + 7. Let n be y(6). Let i = -56 + n. What is the tens digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 0*i = r - 28, 3*r - 93 = -3*i. Let g = 39 - r. What is the units digit of 4 + g\/(-5) - -26?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.4 (b) 16 (c) -0.1 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 35530, 35527, 35524, 35521?\n\"Answer: -3*r + 35533","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7774.\nAnswer: 2, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 393214261?\nAnswer: 11, 31, 53, 21757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8549008 weeks in seconds?\nAnswer: 517044.00384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/181113797 or 0?\nAnswer: -4\/181113797","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23767 = -24*c + 24463 for c.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/4*(9 + 4 + -15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n + 12 = 5*n. Let h be 11\/((1 - n)\/4). Factor -2*a**3 + 6 - 8*a**3 + h*a - 6*a**2 - 3*a + 2*a**3.\nAnswer: -2*(a - 1)*(a + 1)*(4*a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -56 - -118. Suppose 4*k + 32 = 5*j, 3*k = 4*j + 5*k - 10. Suppose -78 = -j*a - 14. What is the remainder when h is divided by a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -15*k + 3*k**3 - 21*k**2 + 6*k**2 - 14831 + 14828. What is o(6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1956309 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -670 times 0.10032?\nAnswer: -67.2144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -35 + 53. Let q = z - -35. Let r = q + -20. What is the greatest common factor of r and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1118*s - 1200 = 1088*s. Suppose 3*c - 40 = 191. What is the remainder when c is divided by s?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -4*l**3 - 16 + 7*l + 41*l**2 - 29*l**2 - 7*l = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 77907297.\nAnswer: -5\/77907297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 43098\nAnswer: -215490","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 206*b**2 + 6*b**3 - 8*b**3 - 206*b**2.\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -3*b. Let d(z) = -16257*z**2. What is d(u(j))?\nAnswer: -146313*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 13962303 and 27?\nAnswer: 41886909","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20 and 549980.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1132564388?\nAnswer: 2, 19, 521, 28603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 27. Calculate the remainder when r is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 1016*k - 1014*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the second derivative of -43\/20*q**5 + 3*q - 19\/6*q**3 + 8 + 0*q**4 - q**2. Find the second derivative of j(k) wrt k.\nAnswer: -258*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 84947 - -256.45049.\nAnswer: 85203.45049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 36*x - 24 + 3\/2*x**3 - 27\/2*x**2 = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 + 11*j**2 - 16*j - 17. What is the units digit of h(8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*b - 5*y = -46*b + 105, -8*y - 168 = 2*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + l = n + 6, 3*n + 4*l = -2. Let v be 6\/1 - (-2)\/(-2). Find the third derivative of -8*u**2 - v*u + 2*u**2 - n*u**6 + 5*u wrt u.\nAnswer: -240*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2851\/3 or 951?\nAnswer: 2851\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -3*r + 116. Suppose -5 = 2*g - r. Let d = -32 + 36. What is the greatest common factor of g and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 PM and 6:04 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -5 (b) 3 (c) -1\/3 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -208.9837 - 0.0163. Let m = r - -208.8. Which is the closest to 0? (a) 0.5 (b) 1\/6 (c) m (d) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 103\/1018654 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**2 + 12*a + 224. Calculate z(21).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2*s**3 - s**2 - 2*s. Let o be i(-2). Suppose 0 + o = 2*z. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 5*f - 12. Let a(k) be the second derivative of 2*k**3\/3 - 13*k**2\/2 - 196*k + 6. Determine -6*a(y) + 5*v(y).\nAnswer: y + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.38 and 46?\nAnswer: -63.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of 653 and -3.\nAnswer: 650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + 0. Suppose 0 = -27078*p + 26876*p + 808. Solve 0 = c + f + p for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 631*(7 + -6)*1. Suppose 624*l + 42 = f*l. Let y be -1 + 2\/(6\/25). Which is greater: l or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 716 + 2039 = 0. Suppose 6*v - 105 = -w. What is v rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-18))\/((-4)\/(-18))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1871492894 to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 5*v - 399, -v - 2*t = -9 - 74. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10908071?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1275286 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 298 - 55)*(4*d**2 - 4*d**2 - 2*d**3) to q + l*d**2 + v*d + k*d**3 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23\/((-44712)\/62172) + 32.\nAnswer: 1\/54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u + f + 67 - 188, 4*u - f - 95 = 0. Let a be (-5)\/(-3) + (-14868)\/(-54) + -1. Calculate the greatest common factor of u and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 495 and 32246\/65 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 192274063.\nAnswer: 17, 127, 89057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6195 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -353, -7, -5, -49, 2, -1 in decreasing order.\nAnswer: 2, -1, -5, -7, -49, -353","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 + 4*y + 3. Let q be p(-5). What is the units digit of q\/(-44) - 1372\/(-44)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 80*f - 1. Let d(z) = 594021*z. What is y(d(m))?\nAnswer: 47521680*m - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 36*r - 80. Calculate the remainder when 56 is divided by x(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -3*g**3 - 4*g**2 + 3*g + 4. Let s(j) = -j**3 - j**2 + j + 1. Suppose 32*l - 38*l = -24. Determine l*s(t) - p(t).\nAnswer: -t**3 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2613 divided by -871.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -p + 35650, 5 - 25 = 5*z. What is the ten thousands digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, k: 2, o: 1, f: 1}. What is prob of picking 1 o and 1 f?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 23*g**2 - 11*g. Let d = 206 + -228. Let j(i) = -6*i**2 + 3*i. What is d*j(m) - 6*p(m)?\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -10 + (14 - (-48)\/(-8)). Let z(v) = 4*v**2 + 3*v - 3. What is z(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44360 is divided by 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 898725897?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cxcxwxwccccwxccx. Give prob of picking 2 x.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ljo when three letters picked without replacement from uluojofuuu?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -2*z**2. Let a(f) = -f**2 - 4*f + 2. Let p(w) = -4*w**2 - 11*w + 7. Let v(y) = 14*a(y) - 4*p(y). Determine t(v(c)).\nAnswer: -8*c**4 + 96*c**3 - 288*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 54 - 55. Let k be 0 - (4 + -4)\/(i + -1). Is k bigger than 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116*o + 438 = 30*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -26059318 - 2?\nAnswer: -2605931a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, h: 1, f: 2, n: 1}. Give prob of picking 1 n and 1 h.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.4, -0.05, 0, 4?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.5409 to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/11063 and 95\/4282084?\nAnswer: 1280343116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23 (base 12) to base 6.\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 666*r = 5383, -r = -559*b + 563*b + 36 for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 - 1*(1 + 0). Sort 8\/9, 2, -0.1, d in increasing order.\nAnswer: d, -0.1, 8\/9, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 50*w**5\/9 - 320*w**4\/9 + 632*w**3\/9 - 164*w**2\/9 - 682*w\/9 + 484\/9 = 0.\nAnswer: -1, 1, 2, 11\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 203 - 159 = 11*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 319148156?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 169*z**3 + 2*z**2 - 237*z + 1. Determine v(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -4*a + 27. Factor -1\/3 + 1\/3*r**3 - r**a + r.\nAnswer: (r - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + -5 + 4 - 0 - 0. Suppose -6*n + 1114 = -n - 3*v, n - 5*v - 214 = c. Calculate the highest common divisor of n and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 3*t**2 + 153*t - 952. Determine b(-57).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 573*d**2*s + 2*d**2 - 244*d + 13059206*s wrt d.\nAnswer: 1146*d*s + 4*d - 244","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Convert -179 (base 12) to base 13.\nAnswer: -153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of 3*b**2 + 26*b - 55. Is h(9) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -232.3*-866.7\nAnswer: 201334.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*l - 5*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 290, 316, 380, 500, 694, 980, 1376, 1900?\n\"Answer: 3*m**3 + m**2 + 2*m + 284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2, -156, 4 in ascending order.\nAnswer: -156, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 423850550 - 0.2\nAnswer: 423850549.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o**2 - 129*o - 246 = 0. Calculate o.\nAnswer: -41, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 278*z + 5*o = 280*z - 3132, 7830 = 5*z + o. Is z a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f**4 + 0*f**4 - 2*f**4)*(4 - 1 - 1 + (-49 + 98 + 80)*(-2 + 0 + 4))*(2 - 2 + 2)*(1 + 3 - 3).\nAnswer: 520*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, t: 6, b: 1, x: 3, u: 5}. Give prob of sequence xx.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -2, -3, 18176 in descending order.\nAnswer: 18176, -2, -3, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9784167?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/6*88\/(-33).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -401, -2, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 495.6479cm to micrometers.\nAnswer: 4956479","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/16*(33\/(-4))\/((-6537)\/17432)?\nAnswer: -33\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41775400?\nAnswer: 2, 5, 208877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*a + 16*a + 3*z = 964, -3*a = -3*z - 702. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26961)\/(-551) - ((-1080)\/(-1160) - (-3 - (-4 - 0)))?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, a: 5}. What is prob of sequence aavv?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -42*z + 44*z - 72. What is the least common multiple of z and 180?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + 14 - 26. Solve -q*o - 1 = -3*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + -7. Let y(s) = s**2 + 7*s - 4. Let d be y(u). Let r be (d\/6)\/((-5)\/6). Solve 1 = -o - p, 3*p = 5*o - 1 - r for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -403*n**4 - 8*n + 48?\nAnswer: -4836*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a3 (base 13) to base 16.\nAnswer: -12e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 0*u - 2*s - 120, 0 = 3*s. What is the remainder when u is divided by (-13)\/(39\/(-45)) + 9?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -6\/11 (b) 0.4 (c) 6\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-1))\/y**(1\/4)*y\/(y*y\/(y\/(y\/y**(-2\/9)))*y*y)*y**(-7) assuming y is positive.\nAnswer: y**(-377\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 916, 1821, 2722, 3619, 4512, 5401, 6286?\nAnswer: 7167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (33\/4)\/(1194\/(-289)) + 2. Let k = 58093\/4776 + f. Find the common denominator of 151\/18 and k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 679, 552, 339, 52, -297?\n\"Answer: 2*z**3 - 55*z**2 + 24*z + 708","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 72003.49 litres in millilitres?\nAnswer: 72003490","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 188229 is divided by 62736?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, -65, -6 in descending order.\nAnswer: -6, -24, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-7)*s**(4\/3)*(s*s**0)**(-34))\/(s**(-1\/9)*s**(1\/10)*s*s*s**(2\/11)*s*s*s*s**(-1\/2)*s) assuming s is positive.\nAnswer: s**(-22442\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*u = 20*u + 9 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 + 9*x - 1. Let g be q(9). Let f be 2*g*86\/4. Let u = f + 58. What is the greatest common factor of u and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003324955203 rounded to 7 dps?\nAnswer: -0.0003325","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - 59. What is the lowest common multiple of (-52)\/(-9) + (-7)\/(w\/2) and 14?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3913, -6896, -9877, -12856?\n\"Answer: x**2 - 2986*x - 928","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hllriillnnnblrl. Give prob of picking 3 l and 1 h.\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4258451?\nAnswer: 19, 224129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (42\/9)\/(-1)*(-63360)\/18480.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -29, 2, 0.5, -1\/4, -3, 0.3, 67\/5?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (20861\/6696381)\/((-2)\/4)\nAnswer: -2\/321","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 + 119\/(-35))*390\/(-12). Solve q + 5*y + 15 = 20, y + s = -3*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 15) to base 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*-246.3071\nAnswer: -123.15355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -0*z + 5*z - 18, -5*z + 14 = f. Let h(g) = 2*g**2 - 2 - 15*g**3 - 6*g**2 - 2 + 26*g**3. Let s(m) = 23*m**3 - 9*m**2 - 9. What is f*s(o) - 9*h(o)?\nAnswer: -7*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 j when three letters picked without replacement from {o: 3, v: 5, j: 2, y: 1, i: 1}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b. Suppose 0 = 5*s + 148 - 2448. Suppose -2*o + 4*c = c - s, -2*c - 1161 = -5*o. Let i(v) = 4*v**2 - 233 + 9*v**2 + o. What is i(q(x))?\nAnswer: 13*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6867, -14283, -21699, -29115?\nAnswer: -36531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r - r**2 + 4*r + 3 - 4*r. Let u be k(5). Let j be u\/3 - (-4)\/6. Let y(s) = s**3 + 4*s**2 - 5*s + 2. Determine y(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49.248 rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 596362739 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 18*r**3 + 10*r**2 - 1079*r - 16. Let y(j) = -20*j**3 - 11*j**2 + 1078*j + 18. Determine 9*d(c) + 8*y(c).\nAnswer: 2*c**3 + 2*c**2 - 1087*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 701723?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1562661 to the power of 1\/3, to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q - 5211. Let r(x) = 12*x - 6. What is s(r(k))?\nAnswer: 12*k - 5217","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*t**2 - 7*t**3 - 6*t**2 + 2*t**3.\nAnswer: -5*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -2*u, 0*u - 4*o - 20 = -3*u. Solve -5*t = j - 26, -8*j = -u*t - 4*j + 16 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*p**2 + 2*p**2 - p**2 + 11 - 71*p + 40*p as w + v*p**2 + d*p and give d.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*g**2\/5 + 764*g\/5 - 72962\/5 = 0. What is g?\nAnswer: 191","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of 2*l**5\/15 + l**4\/24 - 2*l**3\/3 - 2*l**2. List the prime factors of h(-2).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21 + 24. What is the second derivative of 3*g**3 - 3*g**p - 3*g**3 + 7*g wrt g?\nAnswer: -18*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 347*n + 13298. Let p(c) = -73*c - 2660. What is 4*f(o) + 19*p(o)?\nAnswer: o + 2652","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 117, 235, 353?\n\"Answer: 118*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes before 11:10 PM?\nAnswer: 6:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16506 by -5502.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/2 (b) -14 (c) -2\/11 (d) -2\/5 (e) 9 (f) -22 (g) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1068725909 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 8 + 1. Suppose o*l = 4*l - 180. What is the tens digit of ((-2)\/(-3))\/((-2)\/l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20 and 3718300?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of -131*h**4\/12 - 191*h**2\/2 + 48*h. Differentiate o(v) wrt v.\nAnswer: -262*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/311016 and 127\/15336?\nAnswer: 198739224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -3*m - 4. Let r(j) = -5*j - 8. Let p(u) = 11*d(u) - 6*r(u). Calculate p(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 + 22*h**2 - 23*h + 42. Let n(u) = 22*u - 67. Let d be n(4). Let t be i(d). Factor 8\/5*f**2 - 4\/5*f**4 + 0*f + t*f**3 - 4\/5.\nAnswer: -4*(f - 1)**2*(f + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7248862073 + -0.8758\nAnswer: -7248862073.8758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 37 + -34. Suppose 5*x + v*t = 122, t = -3*t + 16. Let o(d) = d**3 - 2*d**2 - 3*d + 3. What is the remainder when o(5) is divided by x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(704) + 3 + sqrt(704) + -4 - 1*(sqrt(704) + sqrt(704) + -2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3100 divided by 5.\nAnswer: 620","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -4*b**3 - 95*b**2 + 9*b - 177. Does 67 divide p(-29)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (-26 - (-7 - -14 - 14))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) -0.1 (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/2 of a millennium in years?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/72 and 109\/3078?\nAnswer: 12312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -22*u + 193. What is t(-13)?\nAnswer: 479","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5\/113 + -181\/1017. Put 0.5, x, 3\/4, -15.6 in ascending order.\nAnswer: -15.6, x, 0.5, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c**(4\/7)\/c*c\/c**(-5))\/((c\/c**2)\/c*c*c\/((c*c**(2\/7))\/c)) assuming c is positive.\nAnswer: c**(55\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -5*s + 90. Let o be g(17). Suppose -o*i = -14*i + 126. What is the remainder when (-1)\/4 - 202\/(-8) is divided by i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/3*y**4 - 238*y**2 + 136\/3*y**3 + 1160\/3*y - 584\/3 = 0 for y.\nAnswer: -73, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -327*((-6 - 7) + -21) a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 greater than 612\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 185 + 0 = 4*y, 2*h = 2*y + 388. Let l = 368 - h. Is 28 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((4\/(-14))\/(88\/110))\/(832\/728)?\nAnswer: -5\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 52*a - 6. What is the units digit of v(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 3*w = -2*i - 28, 4*w = 4*i + 40. Let p be (240\/w)\/((-8)\/(-12)). Solve 15*g - 6*g = p for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7586 = -111*l - 102*l - 59*l - 1118 for l.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1430 and 6471270?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 144169141.\nAnswer: 144169141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a decade in months?\nAnswer: 390","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -154 in -1, 3, 0.3, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -6*x + 4*x. Let w be -6*1*x\/4. Solve -2*f + f = w for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3603795 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 42 - 34. Suppose 3*g - g - n = 0. Let b(u) = 43*u - 43*u - g*u**2. Let m(d) = 7*d**2. What is b(m(w))?\nAnswer: -196*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 50741\/11 - 4613. What is the closest to 0 in -3427, 3\/5, p, -0.5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 954\/11 or 86?\nAnswer: 954\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -14*w + 10. Let b(n) = -5*n + 3. Let k(c) = c**2 + 3*c - 100. Let g be k(9). Give g*b(i) - 3*v(i).\nAnswer: 2*i - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5758.119l to millilitres.\nAnswer: 5758119","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*u + 15. Find the second derivative of -1538*n**2 - 16*n + 1538*n**2 - n**3 + 4*n**3 - u*n**4 wrt n.\nAnswer: -96*n**2 + 18*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 4*u - 1760 = u, 5*u = -5*c + 8830. Let p = -1216 + c. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 14. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 3) to base 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 114, 225, 336?\nAnswer: 447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 3428 divide 316761009?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 - (1 - 14)*(2 + -1) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*m**4 + 0*m**4 + 5*m**4)*(-5 - 2 + 2) as v*m**3 + n*m**2 + d + g*m + p*m**4 and give p.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 + s - 6. Let j be c(3). Let m be (-84)\/(-18)*j\/(-8). Suppose 0 = 5*w + r - 15, m*r = 4*w + 3*r + 12. Solve 4*p = -10 - w for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, -0.5, 5, 65\/4?\nAnswer: 65\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -607 = 2*l - 623. Let y(m) = 11*m + 18. Let p(b) = -7*b - 12. Let h(a) = -8*p(a) - 5*y(a). Let d be h(0). Solve 2*g - d*g - l = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(16)\/sqrt(8))**2 + 2 + (1 + sqrt(32))**2 + -1.\nAnswer: 10*sqrt(2) + 37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 200*a - 11. Let i(g) = -67*g + 4. Let s(o) = -17*i(o) - 6*q(o). Let b(v) = v**2 + 3*v - 1. Let r be b(-3). List the prime factors of s(r).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -2*m**3 - 41*m**2 + 15*m - 132. Give b(-21).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 636724363.\nAnswer: 11, 281, 205993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of -217*p**3\/3 + 841*p**2\/2 + 461. What is the second derivative of o(c) wrt c?\nAnswer: -434","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 take away -36.45?\nAnswer: 39.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.024 - -0.019. Let m = 0.095 - r. Let d be (6\/(-3))\/(9 + 1). What is the closest to 0.06 in d, -0.1, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-26)\/(-65))\/((-3)\/(-60)*-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(1\/3))\/s*s**5)**(-15)*(s**(-5)*s*s**(-5))**(-42) assuming s is positive.\nAnswer: s**298","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -286*c**2 + 286*c**2 + 2*c**3 - 4353*c.\nAnswer: 2*c**3 - 4353*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in -2\/7, 2157, -6, -13?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-24))\/(2\/14).\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 637*h - 288*h - 51*h**2 - 333*h to w + c*h + i*h**2 and give i.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/13702493 and -21\/48025.\nAnswer: 342562325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -501?\nAnswer: 1\/501","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o + 6. What is the smallest common multiple of g(-4) and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -116*z**2 + 53*z**2 + 65*z**2. Let c(j) = -18*j + 85*j + 1 - 13*j - 26*j - 21*j. Determine p(c(l)).\nAnswer: 98*l**2 + 28*l + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 z when two letters picked without replacement from ztppasatatzzzt?\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z = 2*z - 16. Which is the closest to 1\/2? (a) z (b) 5 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*z - 10*z**3 + 12*z**3 - 2*z**2 + 0*z**2 to a + h*z**2 + t*z**3 + b*z and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 961 - 130. What is the hundreds digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from wucwcuwwuucwu?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/((36\/(-15))\/(-8*(-7)\/28))?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/15 - ((-196)\/55 - -4).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 25*i + 19*i + 60*i - 29*i - 9. Is d(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7585 - -7584. Let p(j) = -10*j**3 + 3*j + 3. What is p(d)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16 (base 11) to base 4.\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 392 and 5719966.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 PM and 7:35 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 153\/4, 0.5, -0.6, 0.47, -2\/9 in ascending order.\nAnswer: -0.6, -2\/9, 0.47, 0.5, 153\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 735?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1253 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 1518?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of -j**6\/480 - j**5\/24 - 25*j**4\/96 - 12*j**2 - 32*j. Let p(z) be the first derivative of m(z). Suppose p(b) = 0. What is b?\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-13*1)\/(-1*1). Let k = 5 - 10. Let c = k - -5. Solve g + 5*z + m + 7 = c, -3*g + 4*z - 3 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*l = 81*l - 83752. Is 68 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2 and -1075\/386 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of -35*b**4\/24 - 11*b**3\/6 - 63*b**2. What are the prime factors of x(-2)?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7541737?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.5 - 0.5. Let v = 0.514 - 0.614. What is the fourth biggest value in v, a, -1\/4, -2\/7?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-80)\/(-96))\/((6\/(-1))\/36).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-2)*2892\/7230?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**2 - b**2 + b**2 + (3*b + 2 - 2)*(b - 3*b + 5*b) - 1 + 3*b**2 + 1)*(-4 - 3 + 6).\nAnswer: -14*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/1750 and 111\/390250?\nAnswer: 390250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 1. Let t = x - -7. Suppose -3*a = w - 9, -a - t*a = -8. Calculate the highest common factor of w and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 489625699 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 + (-7954)\/(-46) + (-50)\/(-575) a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23, -36, -43, -44, -39?\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 919?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -4*b - 9. Let m be x(6). Let k = 94 - m. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21.46 + 2.96. Let y = 14.9 + t. Round y to 0 decimal places.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55511.6871 rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 37 = -3*s + 9, 3*d - 2*s + 28 = 0. Put d, 18, -2 in increasing order.\nAnswer: d, -2, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 - 5. Suppose -i*v = 6*p - 3*p + 38, -p + v = 1. What is the tens digit of (-34)\/p*(7 + -4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 28 = 13. Let w = 2472 - 27151\/11. Find the common denominator of w and (-600)\/126 + 2\/b.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {o: 5, q: 8}.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 235807?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 PM and 1:07 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-1\/2)*h**(9\/4))\/(h**(-2))**(3\/7) assuming h is positive.\nAnswer: h**(129\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 48764295*g**3*x**3 + 2*g*x**3 + 7*g*x - 3*g - x**2 + 175*x + 3 wrt g?\nAnswer: 292585770*g*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*z - 11. Let j be 10*(1 + 3\/6). Solve -j = z*i - 8*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1467.\nAnswer: 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -7*v + 9. Let w = 44 + -45. What is the nearest to w in 4, 3\/7, v?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 c, 1 x, and 1 n when four letters picked without replacement from {x: 1, b: 1, c: 4, n: 2, i: 1}.\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 357*p**3 + 6432*p**2 + 108*p.\nAnswer: 3*p*(p + 18)*(119*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.093032628 times 0.3?\nAnswer: -0.0279097884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, p: 7, z: 2, v: 9, i: 1}. What is prob of sequence vv?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*f**5 - 46641*f**4 + 611559*f**3 - 1477146*f**2 - 124524*f + 2010840 = 0 for f.\nAnswer: -1, 2, 13\/6, 10, 2578","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -4*u**3 + 14*u**2 + 5*u + 12. Suppose 14*y = -90 + 20. Let r(c) = 5*c**3 - 15*c**2 - 4*c - 13. Let j(o) = y*r(o) - 6*t(o). Determine j(-8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 11364304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -244, -241, -238, -235, -232?\nAnswer: -229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from frrfrrrrrr. Give prob of sequence rfrf.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2615117 by -2615117.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -5, -4, 9.\nAnswer: -5, -4, 9, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + u + u + u.\nAnswer: 3*u + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 560 + 525 = -5*w, 0 = 2*w - 3*l - 14. Is w a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10 + 10 - 2*z**4)*(4 - 5 + 3)*(28 - 1 - 2) to i*z**2 + f*z**3 + b*z + w*z**4 + h and give w.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 94 - 134. Let i be (-1 + (-1 - 1))*c\/3. Which is smaller: 42 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 10, p: 2}. What is prob of picking 1 b and 2 p?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a meter in millimeters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 134488 divided by 4?\nAnswer: 33622","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(0 + 1*(sqrt(396)*-3 + sqrt(99) + -1)*-6)*-6)**2.\nAnswer: 155520*sqrt(11) + 12835584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -262, -169, -74, 23, 122, 223?\n\"Answer: f**2 + 90*f - 353","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 17193113\nAnswer: 5\/17193113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -13*h - 121. Let p be v(-11). Suppose -p*f = -23*f + 5879. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 965157?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 222 - 288 - (-2 + -6)\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2469 - -7235. Let l = x + -96927\/10. Calculate the common denominator of l and -51\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 3. Let s(u) = 11*u**2 - 9*u + 9. Let o(d) = 5*d**2 - 4*d + 4. Let f(t) = -13*o(t) + 6*s(t). Let j(q) = -q**2 + q - 1. Give z*f(l) - 2*j(l).\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1399*n**4*s**3 + 4*n**3*s**3 - s**3 + 61*s + 31 wrt n?\nAnswer: -5596*n**3*s**3 + 12*n**2*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-59 + 56 + 0 + 1) - -1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.018 to three dps.\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/20 + (-66)\/230. Let j = -16.36 - -8.36. What is the closest to j in 3\/5, -5, b?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -36*i**2 - 755*i + 18. Determine w(-21).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -88 + 85. Let n be m\/12*2*(-1164 - 0). Is n - 0*4\/(-16) - -1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 124690039 to the power of 1\/3, to the nearest integer?\nAnswer: 500","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 6}. Give prob of picking 3 q.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 288544?\nAnswer: 2, 71, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -106016 or 320?\nAnswer: 320","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of 4*o**7\/7 + 5*o**3\/3 - 26. Find the third derivative of y(j) wrt j.\nAnswer: 480*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 43 and 31?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -27 (b) 0 (c) 2 (d) 12\/7 (e) 0.3 (f) 0.01 (g) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*w - 1519 - 121 = -42*w. Does 5 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of 260*g**3 + 6518. Let v(c) = -9*c**2. Calculate q(v(m)).\nAnswer: 63180*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14860*r + 4533*r - 8238*r.\nAnswer: 11155*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 252 - -528157034192.\nAnswer: 528157034444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2646 = 3*c - 0*c. Suppose 51*b + 1006 + 966 = 80*b. Calculate the remainder when c is divided by b.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -673*v - 4 + 799*v - 1 - 2 wrt v?\nAnswer: 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -2*h**2 - h - 2. Let l(p) be the first derivative of -p**3\/3 - 7*p**2 - 32*p - 19. Let b be l(-11). Let w(d) = -d + 1. Determine b*k(a) + 2*w(a).\nAnswer: -2*a**2 - 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 6, s: 1, p: 3, w: 3}. What is prob of sequence pee?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 35.3 - 35. Let s = -26.8 + -8.2. Let p = s - -35.9. Sort p, -5\/4, n.\nAnswer: -5\/4, n, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2405996182.\nAnswer: 2, 19, 2797, 22637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j - 4. Let h(u) = 1. Let d(r) = r**3 - 13*r**2 - 28*r - 32. Let v be d(15). Give v*h(y) - b(y).\nAnswer: y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 9 = -y, 3*l + 0*y - 18 = 4*y. Suppose 4*z + 4*b - 12 = 0, l*z + 4*b - 4 = -2. Solve -5*a - z = -0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1481*m + 857*m = 5818 - 31402 for m.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 17220190*t**2 + t + 21162884 wrt t?\nAnswer: 34440380*t + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/(-4)*-13 + 1002 + -954.\nAnswer: -21\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(3*sqrt(704)*-2 + (6*(sqrt(539) + -2))**2).\nAnswer: -5280*sqrt(11) + 97740","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-56)\/(-140)*15\/(-3)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -28, 1, 28, 53, 76, 97?\n\"Answer: -p**2 + 32*p - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -5 - 8.83\nAnswer: -13.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1166 + 4384 = -201*l - 1807 for l.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.36 and -0.1?\nAnswer: -0.036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -25*r**4 + 22*r**4 + 19*r**3 - 52*r**2 - 2*r**3 wrt r?\nAnswer: -72*r + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 10:58 PM?\nAnswer: 9:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2663231 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, m: 3}. What is prob of picking 1 i and 1 m?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 14 + 14. Suppose 3*y + w - 201 = r, 0*w - 134 = -2*y - w. Suppose y = 4*m - 33. What is the remainder when m is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + -20 - (-10 - -3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 0 - 2*w**2 + 3 + 4*w**2 - w - w**2. Let z be n(0). Suppose z*u - 2*s = s + 57, 5*s + 7 = u. Is u a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9497646 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 111*v - 773. Give t(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 473428 greater than 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3142567, -12570255, -28283069, -50281009, -78564075?\n\"Answer: -3142563*q**2 + q - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 220622?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -210 - 575?\nAnswer: -785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5084\/10 - 210\/(-350) is divided by 248?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - 5. Let q = -4 - p. What is the highest common factor of 12 and q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of -7*q**3\/6 - 5*q**2\/2 + 13*q. Let m = -148 - -181. Suppose 2*d + 67 = m. Let g(t) = -20*t - 14. What is d*b(f) + 6*g(f)?\nAnswer: -f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 21681016 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 230373 is divided by 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -3*x**2 - 61*x - 5. Let z be l(-15). Find the first derivative of 15*n + z - 21*n + 31*n - 53 wrt n.\nAnswer: 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*l = 13*l + 124. Let p = -4 + l. Calculate the least common multiple of p and 30.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84 (base 9) to base 16.\nAnswer: 4c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34 - 34 - 7*i**3 - i)*(-2*i + 6*i - 2*i).\nAnswer: -14*i**4 - 2*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 12*s**2 + 3*s + 16. Let q be v(-3). Suppose 0 = 6*b - 2033 - q. Suppose -2*l + b = -3*c, 0 = 5*c + 10. What are the prime factors of l?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 8.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2732543\/72 - 37951. Calculate the common denominator of -83\/10 and y.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001071609 rounded to seven dps?\nAnswer: 0.0001072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1368 = 4*m - 3*u, -656 = -5*m - 2*u + 1054. Suppose -6*t = -8*t + m. Let y = -84 + t. Is y a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 166 is divided by 50.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ljlllllllllllll. What is prob of sequence ljll?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2 + 3*b + 5. Let g be j(4). Suppose 5*h = -g + 6. What is the first derivative of -1 - 6 + h - 5*m + 0 wrt m?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4 + (8 - 0) + 1. Suppose 0 = -c*l - 23 + 8. Sort 1\/6, -2\/13, l.\nAnswer: l, -2\/13, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + -3. Suppose -3*d - 20 = -2*l, -l + d = -z*d - 8. Solve l*c + 4 = 5*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15 + -152. Let f = 1 - t. List the prime factors of f.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2\/9 (b) -1.99 (c) -432 (d) -28\/3 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-113)\/(79100\/(-23856)) - 8\/100\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 8:50 PM?\nAnswer: 6:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.3 + 0.2. Let n = 0.71 + -0.71. Which is bigger: n or j?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -25 * 1026.\nAnswer: -25650","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*t - 1171 = -1145 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -51 divided by -4214\nAnswer: 51\/4214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b + 3*b - 594 + 593 - b**3 - 2*b - 8*b**2 - b to y*b + r*b**2 + j + i*b**3 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - 7 - (0 + 3 + -5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*m - 29*m + 44 = 12*m + 5*g - 7, 0 = -2*m + 3*g - g - 12 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2*f**2 + 15*f - 5. Let w be x(6). Let b(d) = d**3 - 12*d**2 - 12*d + 1. Let u be b(w). Suppose -u + 100 = 2*c. List the prime factors of c.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1766*i*k*y**3 + 170*i*k*y + 28*i*y**3 - i*y**2 + 6*i + 5*y**2 wrt k?\nAnswer: -1766*i*y**3 + 170*i*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 - 3*b**2 + b + 1. Let m be n(3). Suppose 3*l = -g + l, -3*g - 4*l + 2 = 0. Solve -g*c = 4 + m for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25825 is divided by 404.\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/12 and -1 + (475\/2)\/(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -39505086*v**3 - 4*v**2 - 769506*v.\nAnswer: -237030516","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 - 16*v**2 + 12*v + 636. Determine o(-14).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 312 + -300. What is the first derivative of 704*t + 4*t**4 + p*t**3 - 704*t - 122 wrt t?\nAnswer: 16*t**3 + 36*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -57, -4, 2, 2\/19, 21\/8?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 1 = -3*z + 4*g, 0 = 3*z + g + 4. Let f be 0 - (-1)\/z - -31. Suppose 0 = q + 4*d - f, -3*d = -3*q - 2*d + 90. Is 15 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(960) - sqrt(60))\/sqrt(3))\/sqrt(4) + 1)**2.\nAnswer: 6*sqrt(5) + 46","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r. Let p(x) = -28768307*x**2. Calculate p(i(n)).\nAnswer: -28768307*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 + -5. Let m = v - -1. Suppose -m*b + 33 = -77. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -102011 + -3000?\nAnswer: -111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -12 divided by -34\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, z: 2, o: 2, s: 9}. Give prob of sequence zyoo.\nAnswer: 1\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-28)\/b)\/b*b*b)\/b**(-11)*(b*b**(1\/21))**25)**(-7\/4) assuming b is positive.\nAnswer: b**(-193\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 12:00 AM?\nAnswer: 2:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(-9)*-4 - (-2)\/6. Let a(p) = 21*p + 25*p - 2 + p**r - 4*p**2 - 44*p. What is a(3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -1069268*t - 5. Let q(c) = c. What is i(q(z))?\nAnswer: -1069268*z - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 666 is divided by 164.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 u when two letters picked without replacement from auqmr.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2*q - 2. Suppose v = 5*w - 86, -2*w - 2*v = -3*v - 35. Let b(a) = -5*a - 6. Give w*d(g) - 6*b(g).\nAnswer: -4*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 60\/13? (a) -3\/11 (b) 1 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5022 - 5022. Let s = 2.99 + -3. Are x and s non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1184096, -2368185, -3552276, -4736369, -5920464, -7104561, -8288660?\nAnswer: -9472761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 387 is divided by 51.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-16 - -8) + 8 + -1 - (-2 - 7)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -198, -425, -918, -1809, -3230, -5313, -8190?\nAnswer: -11993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 271 + -231. Calculate the smallest common multiple of b and 152.\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/3, 5, -5\/4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 9 - 0. Let s(u) = u**2 + u. Let t(l) be the third derivative of l**4\/24 - 11*l**2 - 5*l. Determine y*t(g) - 2*s(g).\nAnswer: -2*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6.2 - 1.2. Suppose 41 = -g + 37. What is the nearest to -2\/7 in -1, r, g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 865.9933 decades in months?\nAnswer: 103919.196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-31)\/(-3) - 3\/9. Solve 5*x - 3*o = z, 0*o - 15 = -3*o for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2814 (b) -1\/3 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 + a**2 - a - 1. Let z(o) = 2*o**3 + o**2 - 1 - 1 + o**2 + 6*o**4. Let v(x) = -2*j(x) + z(x). What is the second derivative of v(d) wrt d?\nAnswer: 72*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 + 7*i**2 + 6. Suppose 6*j = -2*j + 104. Suppose -j + 6 = z. Let r be q(z). Solve -r*c = -4*c - 2 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 57*r. Let z(i) = 42*i - 125. Let m(q) = -357*q + 1050. Let y(t) = 5*m(t) + 42*z(t). Give y(w(c)).\nAnswer: -1197*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-z + 3*z - z)*(6*z - 3*z - 2*z) - 264*z**2 + 314*z**2 + 187*z**2 to k*z**2 + t + x*z and give k.\nAnswer: 238","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 8560.3 millilitres?\nAnswer: 8.5603","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -235 (base 11) to base 2.\nAnswer: -100011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(504)\/(sqrt(8)*3) + ((sqrt(7) + 0)*3 + sqrt(63)\/(sqrt(36)\/sqrt(4)))**2.\nAnswer: sqrt(7) + 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 + -16. Solve 4*h - 5*b + 23 = 0, 2*h + k*b + 3*b - 5 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 7*i - 1 + 4 - 4. Determine b(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 16276, 16015, 15310, 13939, 11680?\n\"Answer: -37*a**3 - 2*a + 16315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 439 is divided by 50.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22015 is divided by 657.\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2*k**2 + 1. Let r be x(1). What is the smallest value in 2, -2\/11, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-357425)\/100079*84\/(-10)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*g + 10*g + 13*g as o*g + j and give o.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 190390613 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b (base 12) in base 11?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11.835 - -10.635. Sort 1\/3, -5, h, -4, -2 in descending order.\nAnswer: 1\/3, h, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*6\/1*(-15)\/(-90)*(-2350)\/(-50).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 43 - 57. Suppose -5*h + 0*h + 10 = 0. Let r be 0\/((-6 + 3)\/(-3)). Solve r = z - 3*d + 15, h*z + 0*d - 5*d = -a for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 76 = -56. What is the remainder when 6 is divided by a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 184993 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes after 5:48 PM?\nAnswer: 8:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:23 PM and 3:53 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3915 + -7019. Let u be (-4)\/(-10) - -12*k\/(-105). Suppose 102*j = 107*j - u. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -25, 0, -1, -4 in decreasing order.\nAnswer: 0, -1, -4, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 - 2*c - 3. Let n = 2 - -1. Let w be h(n). Suppose w*j - j + 14 = 0. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -30.39 + 0.39. Let k = t + 32. Let v = 0.1 + -0.2. What is the second biggest value in k, v, -4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 221 - 432 - 41*i**2 + 216 + 42*i - i**3. Let l be j(-42). Solve 7*d = l*d - 4 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -593.79 to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 3*a**2. Let f(u) = 19*u**2 + 13*u + 13. Let b(i) = 9*i**2 + 6*i + 6. Let n(z) = -13*b(z) + 6*f(z). Give n(m(v)).\nAnswer: -27*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of r**5\/30 - 5*r**3\/6 - 9*r. Let z(w) be the second derivative of l(w). Let q(j) = -3*j. Determine z(q(s)).\nAnswer: -12*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1201 + -5?\nAnswer: 1152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3078 by -1026.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*j**2 + 3 - 3)*(-2*j - j - 2*j)*(0 + 3 - 2) in the form v + s*j**3 + u*j**2 + a*j and give s.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - 11411243?\nAnswer: -11411234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 180 and 808.08.\nAnswer: 145454.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/9)\/((-4)\/(-6)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.076623cm to kilometers.\nAnswer: 0.00006076623","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-407 + 34707*s + 4985*s + 13076*s + 816 - 409)*(-s + 0*s + 3*s).\nAnswer: 105536*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 - -9. Suppose -3*l + 4 + 2 = 0. Let x(o) = 0 + o + 0*o**l + o**2 - 4*o**3 - 1. What is x(d)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7045227029 + 7045227029 + 0*s + 131*s.\nAnswer: 131*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*z**4 + 47\/3*z**2 + 4\/3 - 97\/6*z**3 - 22\/3*z - 3\/2*z**5 = 0 for z.\nAnswer: 2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*x - 3*x + 2*x)*(-72 + 90 - 61)*(-5 + 0 + 3) as i + n*x and give n.\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 27*s = 31*s + 12, 3*s + 9 = -4*j. Sort j, -4, 3.\nAnswer: -4, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 155359007 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 6472*v**3 - 94*v**2 + 13*v - 10. Let q(k) = -k**3 - 3*k**2 - 7*k. Let l(r) = 2*q(r) + z(r). Find the third derivative of l(f) wrt f.\nAnswer: 38820","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, y: 9, x: 4}. What is prob of sequence uxx?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 3:39 PM?\nAnswer: 10:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-3)\/(-8))\/(48\/345292). Let t = a + -2698. Calculate the common denominator of t and 1882\/(-176) - 10\/55.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/3, -2\/3, 29.168, 1\/616.\nAnswer: -5\/3, -2\/3, 1\/616, 29.168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18353262 to the nearest integer?\nAnswer: 4284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14829065 is divided by 301?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1279830777 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -2*q + 7*q, -j = 4*q. Suppose -5*f = -a + 71, j = 5*a - f - 2*f - 267. What is the remainder when 64 is divided by (-1 + 4)\/9*a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-33792)\/297 + 6 + 86\/(-387).\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 227884129 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(5\/6))\/i**(6\/11))\/((i\/((i\/(i**16\/i))\/i))\/(i**(-13\/4)*i)) assuming i is positive.\nAnswer: i**(-2239\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of 107*m**2\/2 - 3*m + 7. Is c(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c - 21 = 6*c. Sort c, -3, -2 in increasing order.\nAnswer: -3, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence djjr when four letters picked without replacement from dmdmddjdddddmjdr?\nAnswer: 1\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, 22, 6022 in increasing order.\nAnswer: -3, 0, 22, 6022","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = -246*s + 711 + 996, 17 = x + 2*s for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 120 + (3 - (-4)\/(-1)). Calculate the highest common factor of 17 and g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -26954*x + 54129. Give g(2).\nAnswer: 221","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1539626302 and -5647?\nAnswer: 1539620655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2*s**2. Let y be -1*2*1 - (36 - 40). Let t(v) = -36 + 113 + v**y - 39 - 34. Determine t(j(q)).\nAnswer: 4*q**4 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -4*m - 216. Let t(s) = -11*s - 649. Determine 6*t(h) - 17*v(h).\nAnswer: 2*h - 222","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20 + 26. Suppose -q*s + 4*s = 8, -3*c = s - 341. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = 5*m + 4*r, -4*m - 65 = m - r. Is (m\/8 + 2)*1262 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: de0136 (base 15) to base 8\nAnswer: 50271645","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 506052 is divided by 46.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 + -1)\/2 + 143. Let x be 16 + (-2 - 2 - -1). Calculate the greatest common divisor of x and s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 + -3. Let t = -2 - 0. Let z = t + 2. Solve z = -u*q - q - 15 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23.02 - -23. What is the nearest to -1 in 0, g, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 - -652151494.91622.\nAnswer: 652151494.61622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*p - 27*p**3 + 2*p**4 - 3*p**3 + 1 - 2 - 2 + 3*p to d*p + o*p**2 + z + f*p**4 + r*p**3 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3\/5 + 434*l**2\/5 + 87*l.\nAnswer: -l*(l - 435)*(l + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**4 - 1841*z**3 - 3*z**2 + 5525*z - 3682.\nAnswer: (z - 1841)*(z - 1)**2*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 560 - 1540 = 2*w, 0 = 5*u + 3*w - 2075. What is the greatest common factor of 22 and u?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + 2\/2)\/((48\/45)\/8).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 934?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2073236 + -5?\nAnswer: -2073242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 53*k**5 + 3*k**2*x**2 - k*x**2 - 180*k*x wrt k?\nAnswer: 1060*k**3 + 6*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -106 - -249. Suppose -10*h + 149 = 19. Calculate the greatest common divisor of h and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 178 divide 40406?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 454185 and 405.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 111 or 109?\nAnswer: 109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18631658.\nAnswer: 2, 2687, 3467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 281 is divided by 74?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 at least -36.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -47956610\nAnswer: 1\/47956610","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 5*j + 3*k, 4*k - 14 = 4*j - 2*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - g - g**4 + 2 + 4*g + 2*g**3 - g**3 - 2*g**2 to s*g + j*g**3 + m*g**4 + q + c*g**2 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4323 is divided by 46.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3894469 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 87\/15 + (1 - (6 + 1)). Let t be 2\/6*(-2)\/2. Suppose 2*q = 4*m - 4, m + 3*q = -m - 14. Which is the smallest value? (a) f (b) m (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o - 3. Let r be g(-6). Suppose 0 = -4*i + 13 + r. Suppose 3*f - 3*y = -2*f + 127, -134 = -5*f - i*y. Calculate the remainder when f is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8960736 at most as big as 8960736?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -h**2 - 104*h - 2479 = 0?\nAnswer: -67, -37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -95, -179, -263?\n\"Answer: -84*y - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-48)\/(-30) - 3\/3. Which is the biggest value? (a) y (b) 0.2 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18870)\/2040 - (-14)\/(-8).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 36994 - 36992. Let q(j) be the second derivative of 49*j + 0*j**3 - 13\/2*j**x + 1\/4*j**4 + 0. What is the first derivative of q(o) wrt o?\nAnswer: 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - t + 4, 5*l = -4*t + 2. Suppose -3 = -g - l. What is the remainder when 15 is divided by (6 - 7)\/(g\/(-9))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1509, -3252, -4995, -6738, -8481?\nAnswer: -10224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-6))**(-3\/44)\/(x**(-2\/17)\/(x\/(x*x*x**(-3\/4)*x*x))) assuming x is positive.\nAnswer: x**(-1289\/748)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 6*c**2 + 1. Let t(x) = -13*x**2 + 1021*x + 201. Let o(s) = -t(s) - 3*y(s). Factor o(a).\nAnswer: -(a + 204)*(5*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/191347 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w + 6*w - 2*w)*(w + w - 3*w).\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 1 + 0)*(1 - u**4 - 1) + 20*u**4 + 3*u**2 - 15*u**4 + 19*u**4 - 3*u - 15*u + 9*u**4 + 15*u to w*u + p*u**3 + i*u**4 + v + b*u**2 and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/5 and -115\/456.\nAnswer: 2280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -129 + 39. Let a(l) = 9*l**3 - 3*l**2 + 1. What is the remainder when p is divided by a(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1243577 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 18 = d, 14632 = 5*t - 11*d + 14490 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -214*v - 13*f = -211*v + 2*f + 6, -v = 2*f + 5 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 30854.26ml?\nAnswer: 30.85426","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3945.\nAnswer: 3, 5, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1438034.000038 + 1438045. Let o = u + -11. Round o to five decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 347146*(14\/91 + 72\/208) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/262 and 61\/18864.\nAnswer: 18864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/(-9))\/(((-260)\/90)\/13).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.028 + 68.028. Let c = -68.0000031 + u. Round c to six dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17\/5, -2, 2, -13 in descending order.\nAnswer: 2, -2, -17\/5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -5*a - 6. Let g be o(-2). Suppose 42 = g*m + 10. Does 5 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -8, 1, -3355, 3, 0 in decreasing order.\nAnswer: 3, 1, 0, -1, -8, -3355","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5438 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 + 28*w**2 - 29*w + 54. Let n be x(27). Suppose -h + 0 + 10 = n. Calculate the highest common factor of h and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 517, 3\/2, -0.4, -1\/4, 5?\nAnswer: 517","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*3*(4 + 2*sqrt(245) + (sqrt(245) - (1*sqrt(245) + -3) - sqrt(245))).\nAnswer: -84*sqrt(5) - 84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/92)\/(29 + (-6409)\/116 + 26)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4375 by 7.\nAnswer: 625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/459200 and -109\/102952640.\nAnswer: 514763200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17886 + 17886. Sort 114, -1, f in decreasing order.\nAnswer: 114, f, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*w**4 + 43*w**3\/3 - 92*w**2\/3 + 4*w\/3.\nAnswer: w*(w - 1)*(w + 2)*(45*w - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - -12210020010?\nAnswer: 12210020011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-24)*p**(1\/22)*p assuming p is positive.\nAnswer: p**(-505\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyefupef. Give prob of sequence eu.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 34656.08ng?\nAnswer: 0.00003465608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 503.3098l?\nAnswer: 503309.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1c17b + 1?\nAnswer: -1c17a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 33\/(-28) + (-6)\/(-8). Let j = -19 - -19.1. Put v, 0.4, j in descending order.\nAnswer: 0.4, j, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 59.6 and 5.\nAnswer: 298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -50d06 (base 14) in base 3?\nAnswer: -100212222200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7846, -15694, -23542, -31390, -39238, -47086?\nAnswer: -54934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, e: 3}. Give prob of picking 1 j and 3 e.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a micrometer in nanometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -10 + 8 + 10*g**2 + 3*g - 2 - 10*g + 11*g**2. Let s(w) = 11*w**2 - 4*w - 2. Determine -6*a(t) + 11*s(t).\nAnswer: -5*t**2 - 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9767980787 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 21*h - 111 + 147 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -106, -1.1, -5?\nAnswer: -106","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 1 + -3 + 1 + 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + -11111010?\nAnswer: -11110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/152352 and -57\/16928?\nAnswer: 152352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3787?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 2.3. Let o = 245.2 - 247. Let j = z + o. Which is the third biggest value? (a) j (b) 6\/7 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 615*u - 260 = 641*u for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 - 227*y**2 + 12791*y + 111. Give a(123).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (7 - ((-1)\/(-3) + 140\/(-15) + 7))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, -56996, -2 in descending order.\nAnswer: 16, -2, -56996","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qklkqcyclckiq. What is prob of sequence yck?\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1145786 divided by 41\nAnswer: -27946","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(2 + sqrt(48)*1) - sqrt(432)\/sqrt(225)*1)**2.\nAnswer: 384*sqrt(3) + 30148\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 95*p - 180*p + 86*p + 1 - 1. Let x(j) = -458*j**2 - 4*j. Calculate x(t(h)).\nAnswer: -458*h**2 - 4*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15 + 41 - 448*p - 56 to the form a*p + m and give a.\nAnswer: -448","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2132246 and 246.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -64061*q. Let f(n) = -7*n. Give -8836*f(x) + k(x).\nAnswer: -2209*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 550*x - 3. Let m(f) = -f + 16. Let o be m(14). Let i be k(o). Suppose 4*c - 2*v - 1068 = 0, -4*v + 29 - i = -4*c. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4}. Give prob of sequence ww.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 3*i + 72 = 0, o + 0*o - 5*i = -5. Let q(d) = 7 - 8*d**2 - 7 + o*d**2. Let c(l) be the third derivative of -l**5\/30 - 17*l**2. Give q(c(v)).\nAnswer: 28*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 212 is divided by 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 9563849.7 + 13547\nAnswer: 9577396.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen sixths of a hour in minutes?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 69 = -3*z, 87 = -5*z + j + 225. Suppose -5603 = -z*v - 1121. Let g = 56 - 28. What is the remainder when v is divided by g?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2\/89 (b) 92 (c) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8648327981?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 + 72*g**2 + 728*g + 162. What is y(-60)?\nAnswer: -318","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9096998 millilitres to litres.\nAnswer: 0.0009096998","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*c - 20. Suppose 0 = 5*p - 58 - 2. What is the least common multiple of (-5 + 7)\/((-1)\/c) and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.08 - -0.42. Let r = 0.07 + 7.93. Sort r, y, -4.\nAnswer: -4, y, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2*u**2. Let f(j) be the second derivative of -j**5\/120 - j**3\/2 - 2*j. Let v(d) be the second derivative of f(d). Calculate v(g(p)).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from tttttbtt?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of -h**4\/24 + 97*h**2 + 12*h. Let k(c) be the first derivative of -8\/3*c**3 + 0*c - 1 + 0*c**2. What is k(o(i))?\nAnswer: -8*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -2*w**2 + 154*w + 643. Determine f(81).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + 0 - -7) + (-61 - -63).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(8)*-2 - sqrt(8)))\/sqrt(4).\nAnswer: -6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68 + 10*p + 68.\nAnswer: 10*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + 2*o - 12. Suppose 3*r + 5 = -2*b - 0, -b + r = -5. Suppose -4*p + 12 = -4*i + b*i, -12 = -3*i. Calculate the least common multiple of p and o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19326278911 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.1595 * 0.4\nAnswer: -0.0638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*n**3\/7 - 60*n**2\/7 + 144*n\/7.\nAnswer: -6*n*(n - 2)*(n + 12)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(2496) - sqrt(2496)*-2))\/((2*sqrt(363) - sqrt(3)) + sqrt(6)\/sqrt(32)).\nAnswer: -384*sqrt(13)\/85","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -28*b + 1257. Give w(44).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 22217, 44991, 67751, 90491, 113205?\n\"Answer: -j**3 - j**2 + 22784*j - 565","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 231?\nAnswer: -1\/231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 6*i**3 - i**2 + 3*i + 2. What are the prime factors of h(2)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 7 - 5 = 0. Let f be ((-4)\/(-5))\/(d\/(-15)). What is the third derivative of -4*i**f + 3*i**6 + 0*i**6 + 2*i**2 wrt i?\nAnswer: 360*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -11*t. Let g(y) = 8 - y**3 + 2 + 5*y + 11*y**2 - 7*y**2. Let s be g(5). Let m(h) = -h**2 + 3*h**2 - s*h**2 + 7*h**2. Determine m(p(v)).\nAnswer: -121*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 4 = 3*n, 4*n - 6*s - 20 = -5*s for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4162 or -4161?\nAnswer: -4162","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 9:35 AM?\nAnswer: 3:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30 and 151662?\nAnswer: 758310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 191.9689 centuries?\nAnswer: 19.19689","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 929 + -2786\/3. Let k = -2.9 - 1.1. What is the nearest to -1 in 1, f, k?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/42 and -49\/153.\nAnswer: 2142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 650 and 550.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -4*y + 27. Find the third derivative of d**5 - y*d**2 - 3*d**5 + 3*d**5 + d**5 wrt d.\nAnswer: 120*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a milligram in micrograms?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -158797 less than -158625?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 - 45 = -2*z. Differentiate -2*c + 1 + 2*c + z*c**2 wrt c.\nAnswer: 8*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -90 + 1 + 26.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and (-387774)\/(-972) - (-1)\/18?\nAnswer: 1197","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5672052 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: Convert -110100213303 (base 4) to base 14.\nAnswer: -9c36a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 = 5*f - 32*i + 36*i + 24, 3*f - 5 = -2*i for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1790.03027036+0\nAnswer: 1790.03027036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a milligram in micrograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 88.90895453 rounded to two decimal places?\nAnswer: 88.91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1343*m**3 + 5*m - 4*m - m.\nAnswer: -1343*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 32\/9 of a hour?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6629108?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12146 (base 9) to base 10.\nAnswer: -8142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 128912930 rounded to the nearest 1000000?\nAnswer: 129000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 114?\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65963 + 32863 = -2534*s for s.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 32 = -53. Solve -c + 3*c + 7 = t, -c = -5*t + p for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -18952105*k + 13949366 wrt k?\nAnswer: -18952105","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/8*((-12)\/(-1))\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 12\/(-28) + (-230)\/(-14). Suppose -2*g = 3*i - 14, -i + 5*g = i + j. Suppose 0*l - l = -i. Solve 2*f - l = 3*n + 3*f, -n - 2*f = 4 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 187, 285, 447, 673?\nAnswer: 963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -15*y**2 + 698*y - 1037. Calculate s(46).\nAnswer: -669","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express y**3 + 5 - 3 - 4*y**3 + 5*y**3 as w + b*y + k*y**3 + z*y**2 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -40\/7 - -214\/35. What is the closest to 2 in 4, 2\/17, t, -2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 310\/186*(-6)\/(-20) + (-4)\/32.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -2*w. Let x(v) = 19*v. Let u(f) = -58*f + 1. Let m(d) = -4*u(d) - 11*x(d). Let y(z) = 114*z - 19. Let n(b) = 19*m(b) - 4*y(b). What is n(q(s))?\nAnswer: 38*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*b = -2*b - 832. Let h = 201 - b. Calculate the remainder when h is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/1168 and 89\/94?\nAnswer: 54896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d + 5. Let i be z(4). Let o(s) be the third derivative of s**5\/15 - s**4\/24 + 6*s**2. Let r be o(i). Which is greater: 2 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence trt when three letters picked without replacement from txrtrrttxtrtxxtrttt?\nAnswer: 25\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6793\/92 + -295\/4. Let v = 0.21 + -0.21. Which is the closest to 1? (a) z (b) 4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*z + 176 = 114*z for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2027 is divided by 2019?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2 (b) -1\/4 (c) 5 (d) -3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 494*k - 60*k + 116*k + 1142*k - 37224 = 0 for k.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -20852 + -a?\nAnswer: -2085c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1210 and 165?\nAnswer: 3630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8559 + 9909 = 90*v. Let u be -1*(-106)\/(-4)*-30. What is the greatest common divisor of v and u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52) + -1)**2 + sqrt(13) + (sqrt(143) + -2*sqrt(143) + sqrt(143) - sqrt(143))\/sqrt(11).\nAnswer: -4*sqrt(13) + 53","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 8*r**3 - r**2 - 3*r - 2. What is g(-1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -d**2 - 2*d - d**3 - d**3 + 2*d**2 in the form j*d**3 + n + b*d**2 + x*d and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m - 4. Calculate d(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 24*i + 1. Let x be n(1). Suppose -50 = -2*m + 5*h, -x + 95 = 3*m - 5*h. Suppose c - m = -c. Does 4 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the second derivative of -167*z**5\/4 + z**4\/12 + 2417*z**2\/2 - 104*z - 6. Differentiate j(k) with respect to k.\nAnswer: -2505*k**2 + 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 143 (base 12) to base 6.\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -602 - -564. Let h(o) = o**2 - 10*o + 9. Let s be h(6). Let j = s - t. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 267 (base 10) to base 11.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -17*r - 5. Let c(d) = -9*d - 2. Let b(h) = -11*c(h) + 6*u(h). What is the tens digit of b(-11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*n = 39*n + 100. What is the highest common divisor of 160 and n?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1430334 to the power of 1\/3, to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 140178069?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 7*w**3 + 2*w**2 - w - 1. Let g(j) = j**2 + j. Let y be g(-2). What is the tens digit of i(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((44\/3)\/(-11))\/((-1)\/(-6))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 732.4064 - 736. Round r to 1 dp.\nAnswer: -3.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4138 at least as big as 4141?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*t**2 + 3*t**2 - 4*t**2 + (1 - 3*t - 1)*(-4 + 4 - 2*t))*(-6*t + 2*t + 3*t) as k*t**3 + n*t + s*t**2 + o and give k.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6050, -12079, -18080, -24053, -29998?\nAnswer: -35915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1914\/754)\/(-33) - (-94)\/377.\nAnswer: 5\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 2 (c) 34 (d) 8035\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00018144664 to four decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 f when three letters picked without replacement from {f: 3, k: 1, r: 1}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 4*p + 12. Suppose -p*k - 22 = -7*k. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -25525a + 105?\nAnswer: -255155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 + -7. Suppose h*r + 155 = 5*l + 3*r, 4*r = 5*l - 170. Does 15 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -30.7212 - -5.\nAnswer: -25.7212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*m + 5*m**2 + 5*m**2 - 5*m**2 - 6*m**2.\nAnswer: -m**2 - 12*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6802 to the power of 1\/2, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-8)*-2 + 2354\/(-428) + 278. Solve 0 = -r*f + 280*f + 63 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:05 PM and 7:10 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o - 1. Suppose -5*j = 5*s - 10, s - 12 = -4*j + 5. Let m be c(s). Let g(f) = -2 - 19*f + 9*f - f**m + 16*f. Determine g(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 - (2 - -11 - (-5 - -9))) + -2.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (32\/(-20))\/1*-5?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/12780 and 9\/19880.\nAnswer: 178920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 35.053 + -0.053. Let h = -34.999952 + u. What is h rounded to five decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - h + 2 = 2*m, 2*m = 3*h + 14. Put m, 7, 2 in ascending order.\nAnswer: 2, m, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 - 4*w**2 - w + 6. Let f be t(-3). Suppose f = 4*d + 4*z - 16, -5*d + 2 = -3*d + 4*z. Let i(r) = r**2 - 7*r - 7. Calculate i(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1137 - -1158. Calculate the remainder when 111 is divided by o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -332, -1326, -2984, -5306, -8292, -11942, -16256?\n\"Answer: -332*p**2 + 2*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -1\/7 (c) -0.6886 (d) -39\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -307*s**3 + 309706*s**2 - 1153677274 wrt s?\nAnswer: -921*s**2 + 619412*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-22)\/99 + (-65)\/(-9). Let f = l + -6. Let w = 15 - f. Is 7 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1700) - (1 + sqrt(1700))*-4) + (sqrt(1377) + 0 - -6*(sqrt(17) + 0)).\nAnswer: 4 + 65*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (2*sqrt(684))**2 - sqrt(684))*4 + -1*-2*sqrt(684)*2.\nAnswer: 10928","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rqrqqrrqqrqr. What is prob of picking 2 q?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 325*s**3 + 311*s**3 + 319*s**3 - 22260*s**2 - 16340739520 - 950*s**3 + 33033840*s = 0. What is s?\nAnswer: 1484","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 42 - 40. Let d(t) = -t**3 + 13*t**2 + 14*t + 3. Let o be d(14). Put -16, u, 4, o in decreasing order.\nAnswer: 4, o, u, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 176, 97, 18?\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 + 19. Suppose 0*q + 4*k - 120 = -l*q, 0 = q + 5*k - 45. Suppose 4*t = 3*t + q. What is t rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -5635673, -11271351, -16907027, -22542701, -28178373, -33814043, -39449711?\n\"Answer: i**2 - 5635681*i + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: d59 (base 16) to base 10\nAnswer: 3417","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-27)\/9*4\/(-12). Let j be (1 - 0)\/(3\/36*2). Solve -j = -w - d for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 196344 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13321908?\nAnswer: 2, 3, 41117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do 1570 and 500862\/319 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - 1211?\nAnswer: -1220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-1\/8)*u)\/u**6)\/(u*u**(2\/5))**(-20) assuming u is positive.\nAnswer: u**(191\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 84521, 168916, 253311, 337706?\nAnswer: 422101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10 and 905.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the third derivative of -g**4\/24 - 11*g**3\/2 + 2*g**2 + 136. Determine i(-19).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 5*s, -8 = 5*s + 12. Let r(h) = 10*h - 26. Let o be r(4). Let y = a + o. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 24*u - 6*u + 9*u + 37*u. Let q(f) = -31*f. Calculate h(q(o)).\nAnswer: -1984*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -81*p + 585. Let d be c(-7). What is the greatest common divisor of 9 and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1346 is divided by 38.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, t: 4}. Give prob of picking 3 t.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, l: 2, z: 13, y: 1}. Give prob of sequence kz.\nAnswer: 13\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -2*b**3\/11 - 1224*b**2\/11 - 67912*b\/11 - 83904 = 0?\nAnswer: -552, -38, -22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkj when three letters picked without replacement from {b: 4, p: 9, k: 3, j: 3}?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -8*c**3 - c**2 - 3*c - 4. Let n be y(-4). Suppose -11*o + n = o. What is the greatest common factor of o and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 126 and -8183?\nAnswer: -1031058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and -1303.7557.\nAnswer: -391.12671","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u. Let g(r) = 4*r - 8. Let b be g(6). Let s(f) = -16 + 3*f + b. Determine x(s(c)).\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 595*b = -590*b + 38, 5*n - 4*b - 13 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 614567*q**3 + 175384*q - 175384*q - 614565*q**3.\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-153)\/(-6)*(-207)\/(-621)?\nAnswer: 17\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2523 a factor of 108927650?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71045912.\nAnswer: 2, 7, 59, 21503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.02 - -0.22. Let d(p) = -p. Let x be d(-1). Which is the third smallest value? (a) x (b) s (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 250874?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, 0.5, 170, -3\/11, 0.08?\nAnswer: 170","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 51*p - 304. Calculate v(5).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-two thirds of a minute in seconds?\nAnswer: 1240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.3 + 12.25?\nAnswer: 17.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 b when three letters picked without replacement from bbbbjbjbbbbbbbbbbj.\nAnswer: 105\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4474, 8950, 13426, 17902?\n\"Answer: 4476*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -9. Suppose p*q - 203 = -2*q. Let w = -21 + q. Solve -5*m - w = -5*l - 3, 2*l + 7 = 5*m for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oitpihhm. What is prob of picking 1 m and 1 t?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -919*s + 921*s. Let 0*b + 1\/2*b**4 + 1\/2*b**s + 0*b**2 + 0 = 0. Calculate b.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a gram in milligrams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 101151, 101168, 101185?\nAnswer: 101202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 332266030189 + -332266029762.999999109. Let i = y + -426. Round i to seven decimal places.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(30) - (2*sqrt(360) + sqrt(360))\/sqrt(12)) + 2*1*sqrt(30))\/((sqrt(96)*-5 + 2*sqrt(486))*-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/291 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: c9 (base 16) to base 8\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2 + 61*n - 192.\nAnswer: (n - 3)*(n + 64)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0 (b) 0.4 (c) -5 (d) 2781 (e) -251 (f) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*p - 284 - 248 = 0. Calculate the highest common divisor of p and 4032.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 6*u = 0. Let q = 5 + -2. Suppose -q*f = -3 - 9. Solve v = -4*v + f*b, u = 2*v + 5*b - 33 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 168 and 40861372.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wcrr when four letters picked without replacement from rpcpwrrrcw?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 + 9*r - 17. Let y be x(7). List the prime factors of y + 82\/2 - 0.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22435.9998328 + 22436. What is p rounded to 4 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 5 + 3 = 0. Let p be f\/8*(-1210)\/203. Let s = p - 2\/203. What is the biggest value in -0.5, 2, s?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -272, -546, -820, -1094?\nAnswer: -1368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f + 6*f = 8. Let y be (f\/(-3))\/(10\/45). Let z be (-15)\/y*(12\/10 + -2). Calculate the highest common factor of 2 and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 s when two letters picked without replacement from yyjysyyjbjzsjyyyy.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-13))**13*(o**(-22)*o)\/o**(-20))**23 assuming o is positive.\nAnswer: o**(-3910)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*(f\/(f*f**(-4)))\/f*f*f*f)\/f**(-2\/11))\/(((f*f*f**(-10\/3)\/f)\/f)\/(((f*f*f**12)\/f)\/f*f)))**(-7\/10) assuming f is positive.\nAnswer: f**(-2716\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*v**3 + 462603 + 130*v**3 - 462603.\nAnswer: 121*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 27 and 527?\nAnswer: 14229","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2627, -5668, -8709, -11750?\nAnswer: -14791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-504)\/105)\/(3\/(-2700))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(4\/7)*z**(1\/4))**(-1\/71))**48 assuming z is positive.\nAnswer: z**(-276\/497)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v + 2*n - 22, -2*v - 4 = -2*n - 0*n. Suppose -5*t + 19 + 0 = -v*h, -5 = -t + h. Suppose -701 = -t*z - 115. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u + 67. Let o be i(0). Suppose -l = -5, t - 55 - o = -3*l. Suppose 5*f + 7 = t. Solve n + 3*n + f = 2*p, 0 = p for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -99*l**3 + 5213*l**2 + 1354382*l.\nAnswer: -594*l + 10426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -3 + 4*p + p - 1 - 2*p. Calculate a(-4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 2*t = 126, 5*g - 2*t = 109 + 53. Let i = -17 + g. What is the least common multiple of i and 9?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 7*l**2 + 4*l. Let g be (-177132)\/(-132) + 1\/11. Let n(t) = g - 1342 - 3*t - 6*t**2. Calculate 4*n(p) + 3*y(p).\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 99137161 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s + 7 = 2*l + 11*s, 24 = 3*l + 3*s. Suppose 2*n - 83 + l = 0. What is the remainder when 69 is divided by n?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 124938*a**3*c + 9*a**2*c - 2*a**2 + 10*a*c + 2*c - 44 wrt a?\nAnswer: 749628*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 0*t - 40*t**2 + 0*t + 51*t**2. Let b(i) = i. Determine b(h(k)).\nAnswer: 11*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22 + -42. Let v = w - -21. Let j = -24\/11 + 153\/55. Is v > j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8545619?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 10, p: 10}. What is prob of sequence ll?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.4 + 20.4. Let m = v - 27. Let y = m + 14. Which is the closest to -1\/3? (a) 1\/2 (b) -0.4 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 AM and 9:34 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.011267 rounded to 3 decimal places?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 4*k**2 + 31*k - 13. Let v(y) = 2*y**2 + 2145 - 716 + 16*y - 723 - 713. Calculate -6*q(d) + 11*v(d).\nAnswer: -2*d**2 - 10*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -1*(-3*(-1*(-2 + sqrt(1300)) - (0 + sqrt(1300) - sqrt(1300))*2))**2.\nAnswer: -11741 + 360*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 405764 is divided by 131.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*j + 184 = -8*j - 176 for j.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 177*z = -7299 - 312 for z.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110) - -1*sqrt(110))*6)\/(2*sqrt(10)*1 + sqrt(10)) + ((1 + sqrt(99))**2 + sqrt(11) - (sqrt(11) - (sqrt(110)*-2 + sqrt(110))\/sqrt(10))).\nAnswer: 9*sqrt(11) + 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d**2 - d**2 + 4*d**2 + (5 + 1 - 1 - d)*(-56 + 6 - 5)*(d + 0*d + d).\nAnswer: 112*d**2 - 550*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -180548017 > -180548017?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9211087*n**3 + 5*n**2 - 15966051*n.\nAnswer: 55266522*n + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.03 (b) -37 (c) -1.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14 and 4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + 0. Let m(w) = -w**2 + 4*w + 4. Let r be m(g). Let o = -4 - -12. Calculate the greatest common divisor of o and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38, -0.6, -63, 49, -5 in decreasing order.\nAnswer: 49, -0.6, -5, -38, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.23 - 0.07. Let v = 0.6 + y. Which is the third biggest value? (a) -2 (b) v (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 0*r - 2*d + 2 = 0, -3 = 4*r - 3*d. Suppose 26 = i + 4*z, r = 5*i - 0*i + 5*z - 160. List the prime factors of i.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.022 - -21.722. Let f = 21.514 - r. Round f to two decimal places.\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qnn when three letters picked without replacement from {m: 2, q: 2, b: 2, n: 2}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57443 is divided by 167?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + -1. Let f be ((-4)\/g)\/(-5 + 4). Let w = 4 + f. Let m(k) = 2*k**3 - 2*k**2 - k. What is m(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = 3*d - 17. Let z = -22 + 13. Let x = d + z. Calculate the highest common factor of x and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45*(11050\/(-117))\/(-85).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 4*b**2 + 3*b - 3. Let p be l(-3). Suppose -2*f + t - 5*t = -p, 18 = 2*f - 2*t. What is the highest common divisor of f and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 10:04 AM?\nAnswer: 1:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (537 + 31 + 181 + 169 + 436 + 123)*(l - 6*l + 6*l).\nAnswer: 1477*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 36761 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 + 96*m**2 - 259*m - 1358. Determine f(-98).\nAnswer: 4816","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5229, -10459, -15687, -20913?\nAnswer: -26137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -3*t**2 + 56*t + 223. Calculate w(22).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s**3 - 3*s**3 + s**3 + 2*s**3.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-5*(sqrt(112) - -1*sqrt(112)) - (1 + sqrt(112))*1)**2 + (sqrt(56) - ((sqrt(112)*3)\/sqrt(2) - sqrt(56)) - sqrt(56))\/(sqrt(32)*-1).\nAnswer: 265*sqrt(7) + 40659","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -3*o + 1 - 5, 2*k = 5*o. Solve -o*f = 2*h + 14, f + h = 2*f - 3 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9960 in 4, -2\/3, 5, 0.036?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - 8. Let g be 18\/n + (1 - -1). Put 5, -0.5, g in decreasing order.\nAnswer: 5, g, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8)\/(-6) - (-156)\/18. Let n = f - 79. What are the prime factors of (n + 9)*(1 - 2)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 2 f when four letters picked without replacement from {d: 4, p: 3, f: 4, q: 2, l: 1, o: 1}.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4666 - 4654. Suppose 0 = d - 3*j - 27, 5*j = 2*d - 4*d + 43. What is the smallest common multiple of d and m?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*s = -15*s + 124 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16278 + 18574. Which is greater: 2298 or z?\nAnswer: 2298","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3551005650?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + -2321011303313?\nAnswer: -2321011303310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 40147.85 kilograms in grams?\nAnswer: 40147850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - 0. Suppose -v + y*u - 2*u = -13, -3*v + 3*u = -21. Suppose -5*i + 0 = -v, 2*n + 3*i = 51. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen sevenths of a week in minutes?\nAnswer: 24480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -271 - -400. Let o = g - 190. What is the common denominator of (-9)\/(-12) - o\/(-14) and 57\/4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -172608762*l - 9*l**2 + 1 - 1 + 172608762*l.\nAnswer: -9*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2 + 106*x - 1901. Let c be o(23). Suppose 4*u = 2*u + 6. What is the closest to 3 in c, 0.1, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -54, -237, -536, -945, -1458, -2069, -2772?\nAnswer: -3561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 890 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34 + 34 + 58*k + 15*k**2.\nAnswer: 15*k**2 + 58*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.03 times 19842.3\nAnswer: 595.269","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1002022121 + 210?\nAnswer: 1002100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 790? (a) -83 (b) 2 (c) 3 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + c = -25, o = -o + c - 15. Let f(v) = v + 10. Let m be f(o). Solve 8*l**m - 7*l**3 - 6*l**2 + 0*l**3 = 0 for l.\nAnswer: 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/18*-9*-2. Solve v*b = -12, 4*a + 3*b + b = -24 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*o - 51724 - 131583 = -b, 0 = 5*o - 3*b - 29553. What are the prime factors of o?\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 7 from -11035174941991.\nAnswer: -11035174941998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k - 2*k = 14. What is the remainder when 38 is divided by (104\/((-4)\/(-1)))\/k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 8*u = -3*u - 56, 3*u - 3 = 0. Is 51 equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3 + 21\/2*s**4 + 69\/2*s**3 + 39\/2*s + 81\/2*s**2.\nAnswer: 3*(s + 1)**3*(7*s + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 12:44 AM?\nAnswer: 1:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 PM and 1:35 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -343373 at least as big as -343378?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30210*i = -30200*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 PM and 2:12 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 g when three letters picked without replacement from gggghggghhhghgggggh?\nAnswer: 65\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 31*g**2 - 53*g**2 + 59*g**2)*(5 - 2 - 2).\nAnswer: -25*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -184.710528 rounded to 1 decimal place?\nAnswer: -184.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 38003 and 2562.\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -746*n + 4*t - 7326 - 11431 = -1603, -15*t = 2*n - 17*t + 44 for n.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -365*0.04.\nAnswer: -14.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/60*5)\/((-2)\/8).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eeee when four letters picked without replacement from egsgegg.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 11455559 to the power of 1\/2, to the nearest integer?\nAnswer: 3385","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 487158271?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 4 - 2 = 0. Suppose 5*k = 2*a + 22, -4*a + 8*a = k - 8. Let l(d) = 14*d**2 - d + 1. Let m be l(a). Solve 0 = t*p - 7*p + m for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 PM and 3:44 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 38 + -3. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 440495?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1022 and 48181.\nAnswer: 7034426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of -32*u - 5\/24*u**4 + 0 - 1\/6*u**5 + 0*u**3 - 1\/24*u**6 + 39\/2*u**2. Let a(n) be the first derivative of y(n). Factor a(q).\nAnswer: -5*q*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of b**2 - 55*b - 42. Let j be p(28). Let r(q) = -2*q - 5. Let i be r(-10). Solve -3*v = s - 11, j = 2*s - 3*v + i for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2\/(-4)*(-2 + -80)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 114.90373 rounded to 1 dp?\nAnswer: 114.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q + 18. Let u be -28*((-3)\/(-6) + -1). Let r = -10 + u. What is the remainder when v(-12) is divided by r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (3 - ((-2)\/2 + 6)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 39.672.\nAnswer: -119.016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 7*o**3 + 1. Let h(w) = 29*w**3 + w + 3. Suppose -5*f = -3*j - 34, -25*f + 20*f - 2*j - 6 = 0. Give f*h(a) - 9*t(a).\nAnswer: -5*a**3 + 2*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8853 = 1097*z - 24057 for z.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -4)\/((-9)\/(-15)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -28 in 9\/2, -1\/6, 0.1, 5, 4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1680 + 3*y - 7*y - 5573.\nAnswer: -4*y - 3893","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/(s**(-9)\/s)*((s**(-11)*s)\/s)\/s*(s**0)**4 assuming s is positive.\nAnswer: 1\/s","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(128) + -1 - -3*sqrt(50).\nAnswer: -1 + 23*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -37\/8 - -423\/8. Let v = 49 - u. Which is the second smallest value? (a) -2 (b) v (c) 5\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 PM and 1:06 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.19106*-0.05.\nAnswer: -0.009553","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 1:20 PM?\nAnswer: 5:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(176) + (-1*sqrt(176) - sqrt(176)))*6)\/(sqrt(44)*-4 - sqrt(11)))\/(3*sqrt(224)\/(sqrt(28)\/sqrt(4))).\nAnswer: sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from {z: 3, o: 2, a: 1, r: 1, f: 3, j: 1}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8202*c + 8178*c - 16384*c.\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -5*g**2 + 2*g**2 + 2*g**2 - 3*g**2 + 1 + 3*g - 3658*g**3. Let f be k(2). Let q = -20373 - f. What is q rounded to the nearest 1000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 4*v - 8 + 16 = 0, -4*x = 5*v - 4. Let q(d) = -15*d + 1. Let m(w) = -29*w + 1. Let f(r) = 6*m(r) - 11*q(r). Is f(x) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(19) + 4 - (-1*sqrt(1900))**2.\nAnswer: -1896 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of b**3\/3 + 13*b**2\/2 + 7*b + 4. Let o be w(-14). Calculate the highest common factor of 3 and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2*y**3)*(-1 + 1 + y**2)*(-5 + 2 + 1).\nAnswer: 4*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1.73318*0.06\nAnswer: -0.1039908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -726950 or -726987?\nAnswer: -726987","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*s**3 - 8839 - 36*s**4 - 13*s**3 + 3*s + 8837 to h*s**2 + i*s**4 + u + p*s + n*s**3 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -537*a + 422102. What is j(786)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27\/(-10))\/1*(-2138)\/3207?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*a**3 - 3*a - 2 - 11*a**3 - 10*a**3)*(0 + 0 - 1)*(-a - 6*a - 2*a).\nAnswer: -9*a**4 - 27*a**2 - 18*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 53*f**2 + 255*f - 2. Let s(v) = 103*v**2 - 5. What is u(s(b))?\nAnswer: 562277*b**4 - 28325*b**2 + 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = 3*s + 13, 2*d - 3*s - 19 = -8 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 14 = 5*x + 49, -5*p + 4*x + 38 = 0. Let g be 75\/10*56\/p. Let r = 142 - g. What is the tens digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 157 is divided by 40.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + 8\/(-14))\/((-76)\/133)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85)\/sqrt(5) + sqrt(17) + 1 - (sqrt(17) + -1)*-5)**2.\nAnswer: -56*sqrt(17) + 849","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**7\/n)\/(n\/(n*n**2)))**14 assuming n is positive.\nAnswer: n**126","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/((b**(-7)*b)\/b))\/(b*b*b*b**(1\/14)\/b*b) assuming b is positive.\nAnswer: b**(69\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*x**2 + 5*x**2 + 5*x**2 + 6*x + x wrt x?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 791, 803, 815, 827?\nAnswer: 839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -2\/11, 8, -6.3, -18?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 273434?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 132\/(-770)*-21*15\/2?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4227613 is divided by 514?\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -104 (base 6) to base 3.\nAnswer: -1111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 8 = -5*p, -5*u - 3*p - 1 = -2. Let h(s) = -330*s**3 + s**2 + 6*s + 5. Does 33 divide h(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-126 - 24 + 22)*(2*m - m + m) - 5*m + 10 - 10.\nAnswer: -261*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 + 121*f**2 + 363*f - 8. Determine j(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -26 - -84?\nAnswer: 5c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -2*f**4 - f**3 - 4. Let s be (10 + -8)*(-1 - -3). Let p(v) = -v**4 - v**3 - 4. Let l(d) = s*t(d) - 5*p(d). Differentiate l(b) with respect to b.\nAnswer: -12*b**3 + 3*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = -66*f - 248, -1019*b + 1017*b = -5*f - 12 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 6:33 AM?\nAnswer: 6:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*c = 478 + 298 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k - 3. Let l be d(-6). Let r = 3 - 2. What is the nearest to r in l, -0.2, -0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(143) - -5*sqrt(143))*5)\/(sqrt(11)*5*-6)*5.\nAnswer: -5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -60*i**2 + 2*i. Let p(z) = 1761*z**2. Give x(p(q)).\nAnswer: -186067260*q**4 + 3522*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/((-10)\/(-65)) + -2. Suppose -m + s + 21 = 0. Is 18 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h - 4. Let p = 6 + -2. Let t be v(p). Suppose 4*z + 5*q = -26, -4*z + t*q - 24 = 4*q. Let f(n) = -n**3 - 5*n**2 - 3*n + 5. Determine f(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1516)\/(-379)*((-10)\/(-176))\/5?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*y - 232 + 18 - 81 to the form i*y + v and give v.\nAnswer: -295","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3 of a decade in months?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-7*10\/(-15))\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17 - -14. Let l(a) = -a**3 - 2*a**2 + a - 4. Let t be l(h). Suppose -5*u + 10 = -0, -r = u - 7. Solve n + t*p = -3, 3*n + p - r = 2*p for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + -13. Let c be ((-272)\/t)\/(2\/3). Let s = -23 + c. What are the prime factors of s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 167534 - -52063735\nAnswer: 52231269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*1*sqrt(2736).\nAnswer: -72*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the third derivative of 15*d**8\/112 - 7*d**5\/60 + 52*d**2. Find the third derivative of z(j) wrt j.\nAnswer: 2700*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 3*j - 327 = 0, 2*x + 2*x = 4*j + 460. Suppose 6 = -o - 5*i, -6*i + 36 = 4*o - i. Calculate the greatest common factor of o and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 4:17 AM?\nAnswer: 5:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2\/27)\/y)**(-46))**(-32) assuming y is positive.\nAnswer: y**(-42688\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2651 and 1446.\nAnswer: 15906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 13*v**3 + v**2 + 8*v - 14*v**3 + 3*v**2 + v + 2*v - 25. What is the smallest common multiple of i(5) and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 + 11*w**2 + 10*w + 3. Let y be d(-10). Suppose -y*o + 5*o - v + 1 = 0, 0 = -5*v + 25. Solve -3*r - o*r + 28 = n, 5*n = 5*r - 10 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 + 31*c + 1631. Is n(100) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n\/((n\/((n\/n**(-13))\/n*n*n)*n*n)\/n))\/n)\/n)\/(n**(-11)*n)*(n**9)**49 assuming n is positive.\nAnswer: n**464","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 16 + -103.56\nAnswer: -87.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.62 rounded to one dp?\nAnswer: -14.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1255 = -5*r + 17800. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f**2 - 6*f - 10. Let o(a) = -a**2 + 7*a + 11. Let k(q) = 5*m(q) + 4*o(q). Let l(d) = 5*d**2 - 2*d - 5. Determine -3*k(j) + 4*l(j).\nAnswer: 2*j**2 - 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*l - 6*l = -2*s - l + 31, s + 2*l = 13 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20756 + -20716. Let o(u) = 4*u - 4. Let f be o(6). Calculate the highest common divisor of f and p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-754)\/(-4) - (-15)\/10. Suppose -i = -6*n + n. What are the prime factors of n?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -775870*q - 1079375?\nAnswer: -775870","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*q + 7*q + 2*q + 2*q - q - 2*q - 2 + 2 + 2*q + (2 - 1 - 3)*(2*q - 4*q + 4*q) + 2*q + 0 + 0.\nAnswer: 11*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -1\/11, 5 in decreasing order.\nAnswer: 5, -1\/11, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 2 + sqrt(847) - -3*(sqrt(1008) + sqrt(1008) + 5 + sqrt(1008) + sqrt(1008)))**2.\nAnswer: 4030*sqrt(7) + 168344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4835 is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 17*w + 1. Let n be f(3). Let c be 4\/(-26) + 216\/n. Suppose -5*s + 1 = 5*o - c, 5*o = 4*s - 40. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -4 and 81164.\nAnswer: 81160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand c**2 + 2*c**2 - 4*c**2 - 3*c**2 - 10 + 10 + (3*c - 5*c + 3*c)*(-c - 2*c + c).\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2\/335437241?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 20306 divided by 143\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r + 10*r - r**3 + 8*r**2 + 0*r**3. What is k(9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 10:36 AM?\nAnswer: 3:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {b: 9, y: 7, e: 2}?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-f + 0 + 0)*(-89 - 60 + 4*f + 90) to b*f + z + m*f**2 and give b.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25533 is divided by 825.\nAnswer: 783","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -2*g - 5*u, g + 5*u - 6 = 4 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 474?\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -89.047 rounded to the nearest integer?\nAnswer: -89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 + 16. Suppose i = g - 5. Let x(y) = 1115*y + 1117*y - 2233*y + 5. Determine x(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/9? (a) 2 (b) -8 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -476 - -498. Let t be 48\/(-9)*(-33)\/x. Solve -2 = 6*f - t for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 + 19*v + 19. Calculate t(-18).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oeii when four letters picked without replacement from {i: 2, e: 1, b: 1, o: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 8) in base 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/6 + 83*g\/3 - 56.\nAnswer: (g - 2)*(g + 168)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, 1, -3 in increasing order.\nAnswer: -4, -3, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(252)*5*-6*-2.\nAnswer: 360*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkzzdzk. What is prob of sequence kzdz?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 500, 515, 510, 461, 344?\n\"Answer: -4*m**3 + 14*m**2 + m + 489","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 36\/(-84)*-7*1. Find the second derivative of m - 3*m - 11*m**x + 3*m**3 wrt m.\nAnswer: -48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10955.1 rounded to the nearest ten?\nAnswer: 10960","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 254240 divided by -63560?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/((78\/208)\/((-51)\/(-4))). Suppose 5*p + 194 = 3*a, -4*p + h = a - 8. Which is bigger: 70 or a?\nAnswer: 70","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnnn when four letters picked without replacement from {s: 2, n: 16}?\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -343*g**2 - 94*g**2 - 363*g**2 + 260*g**2.\nAnswer: -540*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -0*w - 32. Solve 2*m - w + 2 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 250 + -350. Let f = w - -114.7. Round f to the nearest integer.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 537363774 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*t**2 + 8*t**2 - 1597*t**3 + 10*t**2.\nAnswer: -1597*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 21*t - 13. Let u(f) be the third derivative of 11*f**4\/24 - 7*f**3\/6 - 1286*f**2. Give -11*u(p) + 6*v(p).\nAnswer: 5*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3392 and 50936.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, m: 2, j: 1, r: 1, c: 1, f: 2}. What is prob of picking 1 r and 1 j?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -6\/7, 1\/581, -3?\nAnswer: 1\/581","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 = 2*k - 3*k. Calculate the highest common divisor of 15 and k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 1225 + 21144 = -5*w, 5*s = -4*w + 28033. What is the tens digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from dtttdddettt?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20 - 10. Calculate the highest common divisor of k and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1310 is divided by 84?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 13876263283 from 27.47.\nAnswer: -13876263255.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -346? (a) 436 (b) 0.7 (c) 13\/20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*g + 10 = -12 + 22. Let i(l) be the third derivative of g*l**4 + 0*l**3 + 0*l + 0 + 26*l**2 - 1\/15*l**5. Let o(s) = -7*s. Give o(i(q)).\nAnswer: 28*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 41*q**3 - 205*q**3 + 8.\nAnswer: -246*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2124589 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -120 + 19 - (-99 + -107).\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = k - 54, -q - 64 = -3*k + k. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30732859 to the power of 1\/3, to the nearest integer?\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -166 + -983698.\nAnswer: -983864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n**2\/15 - 366656*n\/15 + 48888 = 0 for n.\nAnswer: -183330, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10673 is divided by 22?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (15\/3)\/(490\/392)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(425)*-2*-5.\nAnswer: 50*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 2 o when four letters picked without replacement from ozxxxzxrxotoxrrt.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -163\/21546 and 83\/10773.\nAnswer: 21546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v**2 + 2*v + 23. Let r(c) = -c**2 - c - 12. Determine 5*r(t) + 3*w(t).\nAnswer: t**2 + t + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**0)**(5\/9)*g**(2\/9)\/(g**(-2)\/g)*(g**1)**(2\/15)\/(g**0)**(-4\/41) assuming g is positive.\nAnswer: g**(176\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-1 + sqrt(192)) + -3.\nAnswer: -6 + 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5523392 to the power of 1\/2, to the nearest integer?\nAnswer: 2350","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -149*j - 3745 = 7697 - 1310 for j.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2608 is divided by 1293?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 532*v - 4377*v + 19225 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -2*d. Let z(m) = 9715*m**2 - 2*m - 11925. Determine t(z(f)).\nAnswer: -19430*f**2 + 4*f + 23850","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 932 and 822956?\nAnswer: 932","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 + (6 + -13)\/((3 - 1) + 2). Let y be 1 - 4\/((-80)\/(-15)). Determine l so that -y*l**2 + r + l = 0.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1659 and 1260?\nAnswer: 99540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1421, 2807, 4129, 5357, 6461, 7411?\nAnswer: 8177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fr when two letters picked without replacement from {r: 4, l: 1, n: 10, f: 1, o: 2}.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -617.\nAnswer: -3\/617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((314\/1570)\/(1\/(-147)))\/(3\/10).\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 514715354?\nAnswer: 2, 313, 822229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 - 2*u - 8. Let f be x(5). Let d be (-37 + f)\/((-1)\/7). Suppose p - 20 - 38 = 2*k, d = 3*p + 3*k. Is 11 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.3 + -1.4. Let f = -238.62838 - -240.3283781. Let w = f + t. What is w rounded to six decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*u - 38*u - 805 = 42*u for u.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**4 + r**2 - r + 2. Let h be 3*(-4)\/(-6) - -1. Let p(t) = t**2 - t + 1. Let u(z) = h*p(z) - 3*m(z). Differentiate u(f) with respect to f.\nAnswer: -12*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 255659 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 0.1, 5, 69, -0.07618, 3\/8?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 272041931 less than or equal to 272041932?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -983\/5 + 197. What is the fourth smallest value in -0.1, 0.1, 1, b, -0.3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 + 6*t - 5. Let m be c(6). Let j(u) = -u**2 - 5*u + 6. Let y be j(-6). Put y, m, 5 in descending order.\nAnswer: 5, y, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11335823.\nAnswer: 131, 86533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 12895\/2 (b) -6\/29 (c) -2\/9 (d) -2\/5 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - -3) + (2 - 0) - 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4 + ((1 - -18) + -3 - 6)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**0*l)**5 assuming l is positive.\nAnswer: l**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -58, -57, -56?\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*i**2 - 3*i + 2 - 1 - 253*i**3 + 6*i + 37*i**3 - 7*i**2 in the form n*i**3 + a + b*i + v*i**2 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 4*c + 3 = 0. Let i(q) = 4*q + 5*q - 4*q - c*q. Let v(s) = s. Determine i(v(o)).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 7*h - 5*h = 10, 0 = k + h - 2. Solve k*m - 15 = -15 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 times 24.5\nAnswer: -318.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3906 and 739908?\nAnswer: 5179356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -430, 1, 352?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86935 is divided by 183?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 42341?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5451636 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -207427, -207437, -207461, -207505, -207575, -207677, -207817?\nAnswer: -208001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-136*f - 13*f**2 + 136*f)*(-4*f + 4*f - 2*f) + 4*f - 4*f + f**3)*(5*f - 2*f - 23*f).\nAnswer: -540*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1558?\nAnswer: 2, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 137, 5, -1 in decreasing order.\nAnswer: 137, 5, -2\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j + 7. Let i(x) be the third derivative of -x**4\/24 - 5*x**3\/3 - 9*x**2. Let z be i(-10). Suppose 25 = -z*n + 5*n. Determine w(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2524 + 2524. Let c(y) be the second derivative of 2\/3*y**3 + u - y + 0*y**2 - 1\/2*y**4 - 1\/2*y**5. Determine v so that c(v) = 0.\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 59 + (21 + 1 - (96 - 58))?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of -6\/7*w**3 + 4\/7*w**2 - 9\/14*w**4 + 5 + 8\/7*w. Suppose h(d) = 0. Calculate d.\nAnswer: -1, -2\/3, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1053) - (1 + sqrt(1053)))**2*-2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -29 + 24. Let r be 5*y\/(125\/105). Let v = 39 + r. Does 17 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -16*g**2 - 11*g - 17. Let m(z) = -5*z**2 - 4*z - 6. Calculate 6*d(n) - 17*m(n).\nAnswer: -11*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of 0*o + o**3 + 0*o**2 - 3\/5*o**5 - 2\/3*o**6 + 15 + o**4. Let l(s) = 0. Calculate s.\nAnswer: -1, -3\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119) + (sqrt(119) - (sqrt(119) - (sqrt(119) + 1*sqrt(119)))))*-6*1)\/((sqrt(7)*-2 + sqrt(7) - sqrt(7))*-6 + (sqrt(252) - sqrt(252)*-2)).\nAnswer: -3*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/26)\/((-33)\/(792\/(-48)))?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3481, -6970, -10473, -13996, -17545, -21126, -24745, -28408?\n\"Answer: -o**3 - o**2 - 3479*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2557, 2636, 2715, 2794, 2873, 2952?\nAnswer: 3031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/2*(-48)\/(-6). Suppose 3680 = 5*f + d*u, 3*f + u - 3216 = -1001. What is f rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/4 + (-13)\/(-2). Suppose 4*o - 2 = -l. Suppose 2*a = -3*g + 2, 0*a + 8 = -2*a + 2*g. Does o = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(72) + sqrt(4)\/(sqrt(2)*-1) - (sqrt(32) + -1 - sqrt(6)\/sqrt(3)*6)*6.\nAnswer: 6 + 17*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1409443?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -3*m - 7. Let k be (-4)\/5*(6 - 1). Let b(y) = -14 - 18 + 38 + 2*y. Determine k*l(r) - 5*b(r).\nAnswer: 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 60235 and 18830.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(363) + 3)**2 - (4 + sqrt(3))*1.\nAnswer: 65*sqrt(3) + 368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.02 - 0.08. Let q = -560 + 5042\/9. Which is the nearest to x? (a) -0.1 (b) 0.4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 58.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 2*b**4 + b**4 + 0 + (0 - 4 + 2)*(53*b**4 + 24*b**4 - 5*b**4) + (-3*b - 2*b**3 + 3*b)*(3 - 2*b - 3) + 4*b**4 + 0*b**4 - 2*b**4.\nAnswer: -139*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2443909 to the power of 1\/2, to the nearest integer?\nAnswer: 1563","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -319845681 not equal to -319845684?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32 (base 5) to base 15.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*d + 12 = 69*d + 66 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2609*t**2*w**2 + 5730*t**2 + t + 2*w**3 wrt w?\nAnswer: 5218*t**2*w + 6*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - (22 - (-10 + (3 - -7) - -12))) + -71.\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -1574*s + 790144. Determine v(502).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 11*v**2 - 33*v - 17. Let u(j) = 7*j**2 - 21*j - 11. Give -5*g(q) + 8*u(q).\nAnswer: q**2 - 3*q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide (2\/3)\/(-2)*-273?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21100222202221102 + 12?\nAnswer: -21100222202221020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + -5)\/(10035\/4014*(-1)\/(-50)).\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -13*l + 280. Let i be h(21). Let y(f) = 3*f**2 + 2*f - 1. Let s be y(1). Let j(x) = x - 24. Let n be j(20). Sort i, s, 5, n in ascending order.\nAnswer: n, s, 5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 34.6 - 36. Let p = -2 - a. Round p to 0 dps.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 85 + 76 = -2*q, 0 = 5*z - q - 266. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + 3 - 3 + (f + f - f)*(0 + 0 + 1) + 3 - 2*f - 3 - 4 - 2*f + 4 + (1 + 0 - 2)*(-4 + 4*f + 4))*(8*f**2 - 8*f**2 + 6*f**3) - 4*f**4 + 2*f**4 - f**4.\nAnswer: -51*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.03 (b) -0.5 (c) -4 (d) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 - a + 2. Let z(x) = x + 6. What is the remainder when d(3) is divided by z(8)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*n - 4471 = 245*n for n.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/4 and ((-80)\/48)\/((-4)\/(-14)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 16*a**2 - 44*a + 3. Let j(m) = 11*m**2 - 29*m + 2. Let l(w) = -7*j(w) + 5*n(w). Is l(15) a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -74394a - 1?\nAnswer: -74394b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 40879 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 96627456 and 5440.\nAnswer: 483137280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 468 and 117?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1504 + -1501. Let y(w) = 6*w**2 - 16*w + 1. Calculate y(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 52*(125\/(162500\/(-390)))\/(4\/10*3)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3\/4 - 72*o**2 - 20445*o\/4 + 21025\/2.\nAnswer: -(o - 2)*(o + 145)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -119*t**3 - 5*t**2 + 1. Let i(n) = -708*n**3 - 31*n**2 + 6. What is 3*i(c) - 19*w(c)?\nAnswer: 137*c**3 + 2*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**3)**(-1\/2) assuming j is positive.\nAnswer: j**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 43 - 31. Let y(z) = z + 5. Suppose -4*q - 6 = t, t = 4*t - 6. Let i be y(q). Calculate the greatest common divisor of u and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -81 + 429. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2971653 to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nbbxnbxhxbnxbxxnxh. Give prob of sequence nnn.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 PM and 10:26 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3209 - 365 = 79*h. Solve -o - 140 = -h*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*x - 68 = -25*x + 75*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -54\/11, -0.1, -1\/158.\nAnswer: -54\/11, -0.1, -1\/158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 divided by -67?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -292 + 44082*h + 703*h + 31906*h.\nAnswer: 76691*h - 292","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 8*b - 6. Let u be g(2). Let q be (-1)\/(-5) - 182\/u. Is -17 greater than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/(6\/(-4))*(-3882)\/(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/2766478 and 39\/9673.\nAnswer: 2766478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -161741\/24 - -6744. Let f = -98144\/3 - -228986\/7. Find the common denominator of i and f.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 3*i - 5*i, t = -5. Suppose 0 = 2*r + k - 6, 5*k + 1 = -r - i. Does 5 = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*o - 111 = -3*w + o, 63*o + 525 = w + 85*o for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 243 + -86. Suppose -a = -3*h + 3, -4*a + 2 = 2*h - a. Is h*s*4\/4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - 3. What is the second biggest value in 1\/7, p, 7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pw when two letters picked without replacement from ffffpwwp.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2 - 9*a - 6. Let o be k(-5). Let t = o - -41. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 104*i + 130*i - 260*i.\nAnswer: -26*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -95*s + 47*s + 56*s - 24. Let x be d(4). Solve -x = 2*p - 2 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of j**5\/20 - j**4\/8 - j**3\/6 - j**2. Does 8 divide d(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of y**2\/2 - 1. Let d(v) = v**2 + 565 - 565. Give d(u(k)).\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*l**2*o**3*w - 1055*l**2*o**3 - 203*l*o**3*w - l*o**2*w + 2*l*o - 16*l*w wrt l.\nAnswer: -14*o**3*w - 2110*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 45, 194, 443, 792, 1241?\n\"Answer: 50*b**2 - b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 152721703 to the power of 1\/5, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 573437 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*v + 122*v**3 - 123*v**3 - 5*v.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1 (b) -4 (c) -2\/5 (d) -2\/3395\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1311502302 divided by -3\nAnswer: 437167434","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.2 or -1990747?\nAnswer: -1990747","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/20)\/((-46)\/8). Suppose 0 = 2*b + 4 - 26. Suppose -b*z = 4*z. Which is bigger: w or z?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -257, 5.7, 6\/5.\nAnswer: -257, 6\/5, 3, 5.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/2, -1\/12, -1\/34, 0, 0.4 in decreasing order.\nAnswer: 0.4, 0, -1\/34, -1\/12, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/(6*1\/16). Let n(t) be the third derivative of t**6\/120 + t**5\/5 + 13*t**4\/24 - 7*t**3\/6 - t**2 + 217. What is the tens digit of n(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4\/1749 + 5231\/6996. Which is the biggest value? (a) -0.46 (b) 4 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -46436 divided by 3572?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 + 8*x - 1. Let j(a) = 5*a**2 - 33*a + 3. Let d(p) = 2*j(p) + 9*w(p). Let i be d(-8). What is the highest common divisor of 65 and i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n**4 - 459*n**3 - 3020*n**2 + 65088*n = 0 for n.\nAnswer: -452, -16, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvviivv. Give prob of picking 2 i.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 12 - 7. Let q = 0 + 0. Let g = 27 - 23. Sort g, q, s in ascending order.\nAnswer: q, g, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3663*x + 17442 + 17911 + 15973 - 7370 = 0 for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -213*r**5 + 721*r**4 - 85140*r**2 + r - 3 wrt r?\nAnswer: -12780*r**2 + 17304*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 11554\/(-159)*(8 + -1 - 2). Let g = b - -363. What is the biggest value in 0, -2, g, -0.17?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3061.9 centimeters in millimeters?\nAnswer: 30619","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-20)\/(-6))\/(2\/3). Let x(g) = -5 - f*g - g + 8*g. Does 7 divide x(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1322?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86884.\nAnswer: 2, 7, 29, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llf when three letters picked without replacement from qffflqqqlqqlffffffq?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -521 - -542. Solve p - 2*p - 1 = -k, z = -5*p + k for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of -m**6\/9 + 2*m**5\/15 + m**4\/3 - 17. Factor d(l).\nAnswer: -2*l**3*(l - 2)*(l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41913.\nAnswer: 3, 4657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.02? (a) 16 (b) -0.4 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -8*g**3 - 9*g**2 + 2*g - 1. Let v(f) = -9*f**3 - 8*f**2 + 2*f - 1. Calculate -6*v(b) + 7*w(b).\nAnswer: -2*b**3 - 15*b**2 + 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -19*w**2 + 6*w - 2. Let o be n(4). Let h = 888 + -385. Let c = o + h. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 0*b - 5 = 2*h, -10 = -2*b - 2*h. Solve b - 14 = -3*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 17*r**2 - 12*r - 89. Let c be j(-11). Suppose 2*m = 0, 27*m - 22*m = -5*x + c. Is 35 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 320982 to the power of 1\/4, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -4\/7 (b) -2 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.2 - 0.3. Let g = 19\/3 + -7. Let d be (12 - 6 - (-4 - (-27)\/3)) + 2. What is the nearest to g in d, w, 0?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.051 (b) -0.28 (c) 2\/11 (d) 7 (e) -0.02 (f) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 4624 = -2*r + 979, -9 = 3*r. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (0 + -2 + (-6 - -10))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6\/3)\/10*2. What is the closest to 1\/3 in -4, b, -2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -31 + -24. Let h = 97 + d. Let n be (2\/(-7))\/((-1)\/49). Calculate the greatest common factor of h and n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -7*d**3 - 6*d**2 + 11*d - 53. What is r(5)?\nAnswer: -1023","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(0 + 1*sqrt(18)*-3 + sqrt(22)\/sqrt(44) + sqrt(2)*1 + 3)**2.\nAnswer: -90*sqrt(2) + 243","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 332 - 1064 - w + 13*w**2 - 532.\nAnswer: 13*w**2 - w - 1264","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*x - 612 = -19*x - 27*x for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 2:26 AM?\nAnswer: 9:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 9 = -m, -8 = -2*m + m - 3*o. Let g = -8 + m. Suppose -g*h + 207 = 15. What is the highest common factor of 8 and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1491937, 2983878, 4475819?\n\"Answer: 1491941*m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 - n - 2. Let b be v(-2). Let f(c) = 1 - 5*c - c**2 + 0*c**2 + 0*c. What is f(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 69 = -2*w + 172, -2*w = -2*r - 236. Let f = w - 63. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 + (-10)\/(-6))\/((-2)\/(-171)). Let w = s - 397. Sort w, 5, 3, 7 in increasing order.\nAnswer: w, 3, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(1\/4))**(-3))**29\/((r\/(r**7*r)*r*r)\/r**0)**(-1\/6) assuming r is positive.\nAnswer: r**(-271\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 727 - 739. Suppose 4*o - 4 = 16. Factor 25*m**4 + 9*m**2 - 8*m**4 - 3*m**2 + 5*m**2 + 2*m + 21*m**c + o*m**5.\nAnswer: m*(m + 1)**3*(5*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*k + 1 - 7 + 6 to the form s*k + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 + 1\/1)\/(7\/14). Let n be (-1)\/(3 - p) - 0. Which is the second smallest value? (a) -5 (b) n (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, o: 7, q: 2, s: 1, l: 3, g: 5}. What is prob of picking 1 l, 1 q, and 1 x?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*u**2 + 23*u**2 + 5*u**2.\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -3 - 6 + 3 - 3*f + 2*f. Let k(w) = -w + 66. Let u(p) = 13. Let d(n) = 2*k(n) - 11*u(n). Give 4*d(i) - 7*t(i).\nAnswer: -i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-34)\/4)\/((-104)\/(-208)). Which is bigger: -11 or k?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of (497850\/125 - (-1)\/10*2) + -5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 260\/(-5)*-2 + -12. Calculate the highest common divisor of 88 and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 - 75*t + 3044. Give r(29).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2835.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.3, 1, 1\/9, 1\/4?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -16, -34, -52, -70, -88, -106?\n\"Answer: -18*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.34? (a) -1\/5 (b) -2\/11 (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z + z**3 - 2*z - 3045618 - 9*z**2 + 3045625. Let t(l) = l**3 + 9. Let h be t(0). Calculate n(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4100, -3943, -3776, -3599, -3412?\nAnswer: -3215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of w**7\/420 - w**6\/180 - w**5\/12 - w**4\/4 + 17*w**3\/3 - 33*w. Let s(k) be the second derivative of l(k). Factor s(p).\nAnswer: 2*(p - 3)*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 1 - 8*v**2 + 6*v**2 - 1 - 2*v - 3. Determine x(4).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4886 is divided by 2384.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3989 + -5109. Let i = -3 - -5. Let f be y\/(-30)*3 + i\/10. Round f to the nearest one hundred.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**2 + 89408*p + 1250928.\nAnswer: 4*(p + 14)*(p + 22338)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -311334 (base 5) to base 2.\nAnswer: -10011111101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x + 3. Let k(r) = -r + 3. Determine -5*k(j) + 4*q(j).\nAnswer: j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65 (base 11) to base 14.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 8413?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*m + 30*m + 3*m)*(-2*m**4 + 0*m**4 + 0*m**4) - m**3 + 804*m**5 - 5*m**3 - 822*m**5.\nAnswer: -58*m**5 - 6*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d + 5076 = 35*d. Is d a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (3 - (-4 - -3)) + -5 - -17?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*u - 12716 = -11208 for u.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*m + 25*m = 5 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a hour in minutes?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -3*u - 2. Let k be g(-2). Solve 3*p = -1 + k for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*a**2 + 122*a + 13 + 815*a**3 - 121*a - 1795*a**3 - 5340*a**3 - 15 to j*a**3 + p + f*a**2 + c*a and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 185 is divided by 93?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, j: 4, q: 4, r: 2, m: 6}. Give prob of picking 2 j.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1122623497 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 15) in base 11?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -34032 by 6.\nAnswer: -5672","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1900) - (-2*sqrt(1900))**2*1.\nAnswer: -7600 + 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*s**6 - 4*s**5 + 29*s**3 + 22303*s**2?\nAnswer: 840*s**3 - 240*s**2 + 174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -115 (b) -0.2 (c) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of -13\/24*j**4 + 0*j**3 - 1\/15*j**6 + 0*j**5 + 0*j + 0 + 7*j**2. Find the second derivative of t(m) wrt m.\nAnswer: -48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2122.\nAnswer: 2, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + 4 - 6) + 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 32, 67, 104, 143?\n\"Answer: d**2 + 32*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-18)\/99 + 13\/11. Let z = -326 - -327. Is (z + k)*(-2348)\/(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - 6. Suppose m + 2*v + 10 = d, 2*m + 23 + 7 = v. What is the remainder when 61 is divided by m*(1 + (-10)\/4)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1609.93l in millilitres?\nAnswer: 1609930","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 AM and 6:33 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37 + 70 + 108215*h - 33.\nAnswer: 108215*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 - -3. Let y be (86\/(-198) + 2670\/4895)\/((-1)\/(-6)). Which is the nearest to -1? (a) y (b) k (c) -2\/27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/3)\/(20\/(-60))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/((-40)\/(-345))*(0 + 1). Suppose 0 = 7*m - 141 - w. Does 15 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 6 + 2 - 4 + 0 + 2 + 1 - 1 + 1 + (3 - 3 + 2)*(-4 - 2 + 5))*(3 - 3 + r)*(0 + 1 + 1).\nAnswer: -18*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 - 3*g**2 + 3*g + 3. Let u(i) = -3*i**3 + 7*i**2 - 7*i - 7. Let r(k) = -11*k - 63. Let f be r(-6). Calculate f*u(b) + 7*s(b).\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:47 PM and 9:58 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3659 + -134. Let w = -1970 - a. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1265 - 1057.5. What is x rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 441 = -z - 2*z. Let w(i) = 21*i**2 - i + 1. Calculate the remainder when w(1) is divided by 1\/2 - z\/14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 2*p. Let n(v) = 22*v - 46493. Determine c(n(w)).\nAnswer: 44*w - 92986","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.095 and -2953392?\nAnswer: 280572.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 21309, 0.07, -0.2?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 367 is divided by 125?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 - 6*v**2 + 2*v - 8. Give x(-7).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-7)\/2 - (-1)\/2. Let m be -3 + 22 + -4 + x. Solve 2*v - m = -v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2823, -2, 0 in increasing order.\nAnswer: -2823, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5013*s**2 + 2642*s**2 + 2370*s**2.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2323 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*u\/(u\/(u\/((u*u**(-4)*u*u*u)\/u*u))*u))\/(u*(u*u*(u*(u**(-11)\/u)\/u)\/u*u)\/u))\/(u**4\/u)**(-2\/9) assuming u is positive.\nAnswer: u**(38\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 9015 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 102211 (base 6) in base 12?\nAnswer: 4967","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -78 - 9*u**2 + 8*u - 76 + u**3 + 157. Let d be i(8). What is the greatest common divisor of 93 and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 918 and 108078354.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -6 - (-11 - -5)) + 0.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.043 + 3.043. What is the biggest value in 0.4, b, 7\/2, -0.4?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -4*v - 120, -3*v = 5*i + 84 + 36. Let x = -6 - -18. Let t be (2\/x)\/(i\/96). What is the nearest to 0.2 in -4, t, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 861 and 25928646?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.057+-73976682642\nAnswer: -73976682641.943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.3 and -59.08320718.\nAnswer: -59.38320718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qcz when three letters picked without replacement from {t: 2, c: 2, g: 1, z: 1, a: 1, q: 1}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-758 + 758 + 74*m)*(-2 + 1 - 1).\nAnswer: -148*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 819635?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1123745 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of 0 + 1\/96*o**4 + o**2 - 1\/120*o**5 + 0*o + 0*o**3 + 1\/480*o**6. Factor g(n).\nAnswer: n*(n - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 16065, 0 in descending order.\nAnswer: 16065, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (16\/(-40))\/(2\/(-10)). Suppose q*h = 4*h - 20. What is the third derivative of 2*j**6 - 10*j**5 - j**2 + h*j**5 wrt j?\nAnswer: 240*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7526223 and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 503*u**2 + 4*u + 8. Let k(r) = -2514*r**2 - 21*r - 42. Give 21*f(q) + 4*k(q).\nAnswer: 507*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 461771354?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 PM and 10:24 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that m**3\/2 + 2563*m**2 - 92511*m\/2 + 208332 = 0.\nAnswer: -5144, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 plus -0.016855?\nAnswer: -23.016855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32)\/(-140)*(-6)\/8*60\/36?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, f: 5, j: 1, k: 2, v: 2, z: 1}. Give prob of sequence ozo.\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15.5 - -0.5. Let q = k - 16. Let x = 5 + -4.7. What is the closest to q in -3, 5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41600 divided by 5.\nAnswer: 8320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + -3. Let r = 3.5 - y. Which is the third biggest value? (a) r (b) 1 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, -5, 42\/13, -0.5, -9.\nAnswer: -9, -5, -0.5, 0, 1, 42\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76133?\nAnswer: 19, 4007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y**2\/5 + 14842*y\/5 + 8955804\/5 = 0. What is y?\nAnswer: -561, 7982","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -137*c - 143*c + 281*c.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -8, 2, 3, -4 in decreasing order.\nAnswer: 3, 2, -3, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 47*d + 295 = 55*d - 89*d, -3*d + 77 = -2*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11323 + -1?\nAnswer: -11330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -7*o**2 - 5*o + 195. Give n(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u + 0*u - 7798 = 0. Suppose -2201 = -15*s + u. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b**5 + 15*b**4 + 27*b**3 - 463*b**2 - 1482*b - 1008 = 0.\nAnswer: -3, -1, 8, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36392?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (75\/(-66) - -1)\/(18\/24).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -18409.8978 to the nearest ten.\nAnswer: -18410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 842555717 to the nearest integer?\nAnswer: 29027","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*h + 19*h = 12*h + 187 for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - 4. Let s be 7*(194\/70 - 3\/15). Solve -4*d - p = s for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from hjjkj?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/5, 1, -0.3, -0.125, 1.6, 0 in decreasing order.\nAnswer: 1.6, 1, 4\/5, 0, -0.125, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 divided by -2394?\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.86 to one decimal place.\nAnswer: 10.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1403980, -1404064, -1404148, -1404232?\n\"Answer: -84*l - 1403896","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 42 - 46. Which is the nearest to -2\/3? (a) 4 (b) p (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2113021905 to the nearest integer?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 98.36 + 12216.7?\nAnswer: 12315.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2270 + 2266 + (0 + (0 - 1) - -36)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1014, -1015, -1024, -1047, -1090, -1159, -1260?\n\"Answer: -c**3 + 2*c**2 - 1015","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 12:30 PM?\nAnswer: 7:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -4*m**2 + 5*m - 5. Let y = -7 + 2. Let i = 8 + y. Let d(p) = -3*p + 7 - 7*p + i*p + 6*p**2. Give 5*d(u) + 7*t(u).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 320 is divided by 81.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k. Let z be t(-1). Let c(v) = v + 6. Let s(u) = -9*u**2 + 1. Let f be s(-1). Let h be c(f). Sort h, 0, z in descending order.\nAnswer: 0, z, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-542)\/65582*(-11)\/2.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-24)\/(-5))\/(-3)*-5. Suppose 40 = 2*i + b. What is the lowest common multiple of i and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of -q**3\/2 - 7*q**2\/2 + 5*q. What is the units digit of h(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 3*h + 10. Calculate d(-38).\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 24\/14 + -2 - 23\/(-7). Suppose -2*t - l*t + 5 = 0. Suppose 0 = 2*o - 7 + t. What is the smallest common multiple of o and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8813 = 704*b + 687*b - 1858 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -6. Suppose 5*u + 3*k = 3, -4 = y*u - k - 3*k. Let h(i) = -i**2 + 10*i - 3. Let d be h(5). Solve u = -4*z - 2*p + 14, -4*z + 2*z + 4*p = -d for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-84)*15*1848\/(-165).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8127 and 4563.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -8 and -0.0525679978?\nAnswer: 7.9474320022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 13, 3 in ascending order.\nAnswer: -5, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -4858 minus 560.53?\nAnswer: -5418.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 398*m**2 - 767 - 15 + 8*m - 9*m - 60 wrt m.\nAnswer: 796*m - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - -10?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of -m**6\/12 - m**4\/12 + m**2. What is the second derivative of a(p) wrt p?\nAnswer: -60*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 14\/((-5)\/1 + 3). Let b be (i\/1)\/(3 - 2). Let p be (-10 - b)\/((-6)\/112). What is the highest common factor of p and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 492\/369 - (-2)\/3. Solve -p - 10 = -3*d, -74*p + 5 = -75*p + m*d for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22575 divided by 903?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 473 is divided by 158.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 5 = 2*k. List the prime factors of ((-8)\/(-4))\/(k\/(-4)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, -6, 14 in increasing order.\nAnswer: -6, 0, 3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 388*g**2 - 103*g**2 - 72*g**2 - 83*g**2 - 74*g**2 - 79*g**2 - 4*g.\nAnswer: -23*g**2 - 4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 105898.119 + -106765. Let v = -860.9 - g. Round v to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8a135 (base 11) to base 15\nAnswer: -28a67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -15*i**3 - 50*i - 354. What is the ten thousands digit of x(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18935729?\nAnswer: 89, 137, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87 = -31*i - 99 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-12)\/(-1)*((-56)\/(-32) + -4). Let r be (m\/(-36))\/(1\/4). Suppose -5*a + 441 = d + 3*d, 3 = r*a. List the prime factors of d.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 498 + 51 = 0. What is i rounded to the nearest ten?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -472 = -15*q + 10*q - 3*q. What is the greatest common divisor of q and 3127?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -71d23 (base 14) to base 2.\nAnswer: -1000010111100111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 21767 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (-17 + (111 - (-9 + 19))) - (9 + -2)?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-95)\/38*(-5)\/((-275)\/(-12))\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -538028512 divided by -23392544\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -1. Let l = 43.1 + -43. Which is the nearest to l? (a) j (b) 0.5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 189 - 89. Calculate the remainder when d is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 11, p: 2}. What is prob of picking 2 p and 1 h?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 31.9 + -32. Let q = 0.02 + 0.98. Which is the nearest to w? (a) 0.2 (b) q (c) 4\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 5072.\nAnswer: 15216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a millennium in years?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 92257601 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*h + 84 = 8*h. Put -1, 7, 3, -1.6, h in decreasing order.\nAnswer: 7, h, 3, -1, -1.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -52\/78133 and -43\/177575?\nAnswer: 1953325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10228 - -10231. Let w = 5 + -25. Let b be 2\/w - (-1)\/(-2). What is the closest to 0 in b, 1, h?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 74 - 299\/4. Let g be ((-3)\/(-1) - 1)\/(-2). Let w = 17554 - 17556. What is the closest to 14 in y, w, g?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33200436?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 8*a - 11. Let u(z) = -4*z + 6. Let y(f) = 3*d(f) + 5*u(f). Let t be y(2). Suppose t*p - 20 = 0, 3*o + 28 = 6*o + p. Solve -4*h = -2*h + o for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 125*g - 45*g + 26*g - 110*g.\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 273*v + 310 = 283*v. Let l = -1 + 12. What is the remainder when v is divided by l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 331806.\nAnswer: 2, 3, 17, 3253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -3*b + 4*b - 2 + b**3 - b. Suppose 5*a - 18 = 4*k, -2 + 12 = -3*k + 2*a. Let f be 3 - 3 - k\/(-1). Calculate c(f).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 150, 169, 186, 195, 190, 165, 114, 31?\n\"Answer: -q**3 + 5*q**2 + 11*q + 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -382 > -3434\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 205\/15 + (-4)\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*(-2)\/(-16) + (-196)\/(-160). Which is greater: 0 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*c**2*m*u**2 - 240*c**2*u**2 - 5*c*m*u**2 + 2*c*m*u + 4*c*m + 3*c - 2*m*u**2 wrt c.\nAnswer: -12*m*u**2 - 480*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 5*d + 33, -5*d + 5 = -6*d. Solve -29 + 25 = z*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 71 = -0*g + 2*g - 5*s, 4*s = -3*g + 164. Let t be (134\/4)\/(-3*4\/g). Let m = t - -196. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -19*c**2 - 177*c + 37. Let d be p(-9). Calculate the greatest common factor of 140 and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000241939715 rounded to 7 decimal places?\nAnswer: 0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2406b2 - -c?\nAnswer: -2406a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**2\/2 + 1790382*d + 534244617654.\nAnswer: 3*(d + 596794)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2\/15, 5, 49, -5?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 12:38 PM?\nAnswer: 8:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -66 + 328\/5. Which is the closest to q? (a) -4 (b) -2\/13 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 7323?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -201 - 13?\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 2:12 AM?\nAnswer: 4:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -7. Suppose -m*w + 3 + 7 = 0. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 5*o**5 + 905*o**4 + 12755*o**3 + 50735*o**2 + 16940*o - 81340 = 0.\nAnswer: -166, -7, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.923 + 1.925027. Round y to four decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5129?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -3*i + 68, -f + 0*i + 3*i + 32 = 0. Suppose -f = -b - 19. Let c be 2500*1*-18440 - (-1 + b). Round c to the nearest one million.\nAnswer: -46000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -36 + 48. Is w even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.27129um in nanometers?\nAnswer: 9271.29","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 2 + 4*i - 4 - 14*i**2 - i + 13*i**2. Give z(-3).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 + 17*h**2 - 33*h + 581. Let n be i(17). Solve -5*m - n = -o, 11*o - 8*o - m = -10 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 90552, 90555, 90560, 90567, 90576, 90587, 90600?\n\"Answer: s**2 + 90551","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times -4465257?\nAnswer: 13395771","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*h**3 + 2*h**3 + h**3 + 10*h**2 + 6*h**2 to the form g*h**2 + d*h**3 + x*h + o and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r. Let i(z) = 1319*z**2. Let d(l) = -1344051*l**2. Let j(f) = -4*d(f) - 4077*i(f). What is a(j(t))?\nAnswer: -1359*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5\/3, -57, 197\/3, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -749*f**5 - 79*f + 15?\nAnswer: -14980*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -100*o + 29. Let p be h(-4). Let q = -20 + p. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*v - 36 = -26*v + x, -5*v + 5*x = -60. Solve v*b = 3*t + 1, 2*t - 7*t = -b - 4 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2567025 divided by 2567025\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -474*f**2 - 96227*f - 1073. What is x(-203)?\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/33040 and -79\/700.\nAnswer: 165200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 - -3. Let d be (t\/(-1))\/((-11)\/88). Let p = d + -25. Calculate the remainder when p is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -730568475, -1461136948, -2191705421, -2922273894, -3652842367, -4383410840?\nAnswer: -5113979313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/5*r**2 + 6\/5 + r.\nAnswer: (r + 2)*(r + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.3 - -3.31. Which is the closest to -0.1? (a) r (b) -0.2 (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -22 + 50\/(-225)*-99. Solve -25*p + 45*p - 20 = r for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 55 - 714\/13. Let c = -442\/11 + 40. Let l = -14\/5 + 62\/15. Sort l, z, c in decreasing order.\nAnswer: l, z, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77033259?\nAnswer: 3, 107, 167, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d**(10\/9)*d*d**2*(d*d\/((d*d*d\/(d\/(d*d**9)*d))\/d))**(-31))**14 assuming d is positive.\nAnswer: d**(32018\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + 5 + -2 + 4. Suppose 3*k + 4*s = b, -3*k + 2*s = -k - 4. Suppose -5 = -k*z + z. What are the prime factors of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c - 5. Let u = 2 - 10. Let r be i(u). Solve r*t = 7*t + 20 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 27 - 17. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*i - 11*i = -2583. Calculate the remainder when 855 is divided by i.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1412*t**2 + 993*t - 1696003?\nAnswer: 2824*t + 993","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 2*s**2 + 3*s - 2. Let m be r(2). Let k = 12 - m. Suppose 2*q = -8, 5*c = q - k*q + 204. Is c a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, -7, -17, -41, -85, -155, -257?\nAnswer: -397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 - t + 2. Let i be y(0). Let v(h) be the third derivative of -1\/6*h**3 + 2*h**i + 1\/60*h**5 + 0*h + 0 + 0*h**4. Factor v(f).\nAnswer: (f - 1)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 91585?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2328367 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*z - 1108 = -14*z. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -0*l + 4*g - 27, 30 = 5*l + 5*g. Let m(f) be the first derivative of f + 0*f**2 - 2 - 1\/3*f**l. Find the first derivative of m(y) wrt y.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 63.18 - 69. Let y = f - -5.793. What is y rounded to two decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 24 - 38 = -3*l, -60 = -3*l + 3*p. Suppose -24*q + 300 = -l*q. Suppose q*u - 642 = 54*u. List the prime factors of u.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0070687 rounded to 4 dps?\nAnswer: 0.0071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = 7*a - 3*a. Let s = a - -20. Solve -4*j + j = -s for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18 - 5 - 5)*(-40*d**4 + 3*d**4 - 38*d**4).\nAnswer: 2100*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 224 and 61968.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/988 and -26\/19.\nAnswer: 988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2 - 17*a - 1. Suppose 101*d + 2058 = -2*d - 44*d. What is k(d)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.4 (b) 2 (c) -1\/51\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -3*c - w, 0 = -19*c + 16*c + 3*w + 27 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 minus 0.15663?\nAnswer: -0.35663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 3 + 1)*(2 - 1 + 0)*(-6 + 1 - 5)*(1 - 1 + 1)*(-3*j - 2*j + 1 + j).\nAnswer: -320*j + 80","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -6877 divided by 299\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 994299 divided by 409?\nAnswer: 994299\/409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-3)\/d*d**(-3))\/((d**(-1\/5)\/d)\/d**(-1\/3)))\/((d*d**(-6)\/d*d\/(d**(-4\/7)\/d)*d)\/(d\/(d**1*d))**(-33)) assuming d is positive.\nAnswer: d**(3076\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 722 - 718. Suppose -3*d + 198 = -t*k, 0 = -6*d + 2*d - k + 283. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of -s**5\/120 + 3*s**4\/8 + 5*s**3\/3 - 3*s. Let r(y) be the second derivative of i(y). Give r(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1230744737?\nAnswer: 353, 3486529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 40\/144669?\nAnswer: 40\/144669","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - -2.04. Let u be 1\/((-7)\/(-3) - 2). Let s = 3339\/2 + -1672. Sort u, t, s in ascending order.\nAnswer: s, t, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -116*w**4 - 211?\nAnswer: -464*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5671 (base 8) to base 15.\nAnswer: d51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the third derivative of 7*w**5\/5 - w**4\/12 + w**3\/6 - 7*w**2. Is m(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of 35\/2*a**2 - 20\/3*a**3 - 1\/6*a**6 + 0 + 2*a**5 - 5\/2*a**4 + 80*a. Factor x(r).\nAnswer: -5*(r - 7)*(r - 1)**2*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 q when three letters picked without replacement from efiqfififfqfqf.\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 18898872?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -3*o - 66. Let f be j(-21). Let s = f - -12. Suppose -s = -5*y + 1. Solve 3*m - 19 = 8*m + y*c, -3*m + c = 7 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 180 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -65.5323 to the nearest integer.\nAnswer: -66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 11096 at most 11096?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 PM and 6:43 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14293, -14291, -14289, -14287?\nAnswer: -14285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 179*h**2. Let k(l) = 725*l**2. Let f(g) = k(g) - 4*t(g). Let x(q) = -215*q**2 - 6*q. Determine x(f(s)).\nAnswer: -17415*s**4 - 54*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1926\/170 + 637320\/(-180574)?\nAnswer: 39\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 - -14. Let m(r) be the second derivative of r**3\/6 + r**2 + r + 1. Give m(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 354.091+-0.131281\nAnswer: 353.959719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (9\/(-3) - -2)*63\/1. Let c = 89 + q. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l**4 + 108*l**3 - 2148*l**2 - 76032*l + 159744 = 0 for l.\nAnswer: -32, 2, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -4898, -3.9?\nAnswer: -4898","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8909*t + 38 = -2*p - 8911*t, 4*t = 4*p + 76 for p.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 2*g = -3. Let q(t) be the second derivative of t**5\/20 + 5*t**4\/12 + t**3\/2 - 2*t**2 - 5*t. List the prime factors of q(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*(-7096)\/(-80) - 3\/(-5). What is h rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 629, 656, 699, 764, 857?\nAnswer: 984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 + 6. Round u to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002925 rounded to five dps?\nAnswer: 0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 71ca (base 15) in base 16?\nAnswer: 5de8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 226 a factor of 25175722?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.023148384 * 14.\nAnswer: -0.324077376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 - 2*j + 51. What are the prime factors of y(0)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sssssyysssssys. What is prob of sequence yyss?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 + 2*f**2 - 11*f - 1. Let x(t) = -9*t**3 + 14*t**2 - 58*t - 12. Give 6*j(s) - x(s).\nAnswer: 3*s**3 - 2*s**2 - 8*s + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (49\/14)\/7*2*2. Let t(x) be the first derivative of 0*x**d + 4*x - 2 - 4\/3*x**3. Differentiate t(n) with respect to n.\nAnswer: -8*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 0 - 3 - 6*d + 3. Let q(a) = 2*a. What is q(p(l))?\nAnswer: -12*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1 + -0.1. Let g = 0.4 + -0.4. Let x = 41\/44 + -2\/11. Which is the closest to g? (a) i (b) 0 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 660 and 8?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -4, 3\/8, 0?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 773, 1\/25, -23493 in decreasing order.\nAnswer: 773, 1\/25, -23493","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8757 - 8744. Let s(l) be the first derivative of -17\/3*l**3 - 18*l + 0*l**2 - w. Differentiate s(i) wrt i.\nAnswer: -34*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 6*a - 10 = -5*y, -3*y = a - 20. Let j(v) = -v**3 + 4*v**2 + 6*v - 2. Let f be j(a). Find c such that 0*c**2 + 0 + 1\/3*c**4 + 1\/3*c**f + 0*c = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*m + 2056155 = -43*m. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 222841?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 19697402 to the nearest integer?\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 6, 1, -21, -1\/12, -3\/2 in descending order.\nAnswer: 6, 1, 2\/9, -1\/12, -3\/2, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z + 5*z - 4*z)*(245*z - 802*z + 237*z - 2*z**2 + 1).\nAnswer: 4*z**3 + 640*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*x**3*z**3 - 2*x**3 + 4*x**2*z**2 + 295942*x*z**3 + 47095*x wrt z.\nAnswer: 30*x**3 + 1775652*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 339 - 380 - (11 + -7)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4661658 is divided by 35?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 174798 is divided by 437.\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4933 is divided by 16.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 - 16*q**2 + 40*q + 33. Let f be r(-20). Let o = -262 + f. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/10)\/(1\/2)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 4*m + 30 - 2*m - 4*m - 33. Let d be q(-3). Let y = 13 - d. What are the prime factors of y?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(180))\/sqrt(4))\/(sqrt(9) - sqrt(72)\/sqrt(72)) + 3.\nAnswer: -9*sqrt(5)\/2 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6587730 and 2927880?\nAnswer: 26350920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -y - 4*b + 89, -2*b = -2*y + 36. What is the highest common divisor of 322 and y?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**4 + 515*j**3 - 530*j**2 - 1040*j.\nAnswer: 5*j*(j - 2)*(j + 1)*(j + 104)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 998350, 998348, 998322, 998272, 998198?\n\"Answer: -12*b**2 + 34*b + 998328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 2*g = 854, 12*t + 3*g - 571 = 10*t. Calculate the remainder when t is divided by 38.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -5*b + 8*b + h, 5*h + 18 = -b. Suppose -b*q - 254 + 47 = -3*c, -3*c + 198 = -5*q. What is the remainder when c is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000 + -101011?\nAnswer: -100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 6*q - q = 50, -2*c - 3*q = -25. Suppose b = -3*s - 4*b - 4, 12 = s - c*b. Suppose -960 = -s*x - 2*x. What is x rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 - 11*t + 29. Let q be i(-13). Solve -q*n - 12 = -0*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 52198?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p - 122 = 116. Calculate the greatest common divisor of 238 and p.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeehehhheeehee. Give prob of picking 4 h.\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*g + 31*g = 684. Let k = g + -96. What is the highest common factor of 108 and k?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + 1261309?\nAnswer: 1261309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of -29*w**4\/12 - w**3\/2 - 4*w**2. Is k(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5539 + -3283. Is n a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - -1. Let j = 2 - d. Let f = 0.2 - j. What is the third biggest value in 5, 4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -862170 (base 11) in base 15?\nAnswer: -1c395e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 + 8*k**2 - 7*k - 17. Let f(u) = -5*u**2 - 38*u - 64. Let z be f(-2). What is m(z)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 310*50\/36 + (-4)\/(-9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - 2.2. Let q = 2 + -7. What is the biggest value in 0.4, q, b?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2996*n - 1062*n - 149*n - 1280*n - 4107*n in the form a + q*n and give q.\nAnswer: -9594","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 33313 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**3 - 18*i**2 - 28*i.\nAnswer: -2*i*(i + 2)*(i + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000017947 rounded to six decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 322101032300 - 1000?\nAnswer: 322101031300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hsdxxzzzszhdszzsdxzs. What is prob of picking 1 s, 1 d, and 2 x?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2528710 and 120?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 4*o = -24 - 16, -j - 1297*o + 1303*o + 8 = 0 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 30 + -15. Suppose -v - 5*q + 27 = 0, -5*q - 76 = -3*v - t. Does 13 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 - 11*c**2 + 12*c + 3. Let i be y(-12). Let w be 7 + 3\/i + -3. Suppose -w*f + 1330 = 5*v, 0*v - 5*f + 1067 = 4*v. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*m**2 - 7*m**2 - 5*m**4)*(m - 2*m - 3*m).\nAnswer: 20*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.16 plus -9820?\nAnswer: -9819.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (31 + 3 + -3 + 6)\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 5*t - 147, -2*t = k - 5*k - 254. Let d = k + 70. Round d to 0 dps.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1700) + 4 + -1*sqrt(1700))**2 + (-5*(2 + sqrt(1700)))**2 + -5 + 1.\nAnswer: 1000*sqrt(17) + 42612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 858812872?\nAnswer: 2, 107351609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of 2*q**7\/105 + 6*q**6\/5 + 358*q**5\/15 + 102*q**4 + 578*q**3\/3 - 147*q**2 + 2. Factor h(w).\nAnswer: 4*(w + 1)**2*(w + 17)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13252 = -754*x + 74*x + 7828 for x.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**2*a*a*a**(-1))**(9\/2)\/(a*a**(2\/17)*a\/a**(1\/5))**(2\/11) assuming a is positive.\nAnswer: a**(24593\/1870)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1860 (base 9) in base 10?\nAnswer: 1431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28488135 is divided by 9496045?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 59*m + 146 = -36*m - 7*m, -3*p + m = 68 + 82 for p.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12 + -3031103220?\nAnswer: -3031103202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -189, -365, -527, -669, -785, -869?\nAnswer: -915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 + 26 - 10) + (-7 - 4) + -1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.04 in -5, 3, -3\/4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 222 = -49*n - 72 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 33 = -4*j, 28 = 4*j + 3*g + g. Let v(u) = -u**2 + 4*u + 1. What is the units digit of v(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 8, e: 3, l: 4, k: 4}. What is prob of sequence lkl?\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 175*f = 85*f + 109*f + 76. Let h(k) be the third derivative of -k**6\/12 - k**5\/60 + 7*k**3\/6 + k**2. Is h(f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 14 + 6 = 0. Let u be 6\/(-33) - 310\/(-11). Let n = x + u. List the prime factors of n.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u**2 - 17093*u - 3109140 = 0 for u.\nAnswer: -180, 17273","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 1 = -2*j, -3*j = 7 - 1. Which is the fourth biggest value? (a) -0.4 (b) 0 (c) v (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-5))\/(792\/396).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/9)\/((-45)\/(-54))\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 281 - 746 + 11*q - 53*q.\nAnswer: -42*q - 465","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1\/4)\/c)\/c*c**3*c**(-1\/5)\/(((c*c**(4\/5)*c)\/c)\/c))\/((c*c**(1\/4))\/c**(-4)*c**(3\/2)\/(c\/(c\/(c**3\/c)))) assuming c is positive.\nAnswer: c**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 20140 (base 6) in base 3?\nAnswer: 10122020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -5*v - 3*v. What is the smallest value in v, 4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(187) - (1*sqrt(187) - sqrt(187)) - sqrt(187)))\/(sqrt(1100) + 3*sqrt(1100) + sqrt(1100)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -372 in 2, 1\/6, 0, -0.1, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 2925*w**3 - 863*w**2 - 2. Let u(a) = -2*a**3 + a**2 - 1. Let j(d) = 2*u(d) - x(d). What is the third derivative of j(r) wrt r?\nAnswer: -17574","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w + w**2 - 5*w + 5*w. Suppose -q = -3*q + 2. Let a be h(q). Which is smaller: a or 14?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a kilometer in meters?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 31185 + -2795. What is the ten thousands digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6403 and 817.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 58.15 and -4096?\nAnswer: -238182.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -728 - -733. Suppose g*v + 2*d = 109847, 0 = -2*v + d + 9143 + 34803. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -486*n**2 + 9 - 1 + 967*n**2 - 487*n**2 - 4 - 4.\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 2*f**2 + 13*f + 11. Let p be v(-8). Let i be (-56)\/10*(-85)\/34. Calculate the greatest common divisor of p and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -50, -104, -160, -218, -278, -340?\n\"Answer: -n**2 - 51*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/(-1323))\/((-27)\/63 - (-2)\/21). Are g and -0.1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/2 + -1)*(-23)\/(-138). Let o = -192 + 1346\/7. Sort q, -0.08, o in decreasing order.\nAnswer: o, -0.08, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 + 3*n. Let y(x) = -x**2 - 12*x - 11. Let h be y(-8). Let d(u) = -2*u + h*u - 8*u - 3*u - 3*u**2. Give 4*d(t) - 11*v(t).\nAnswer: -t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/v**12))\/v**(-2\/5)*v**6\/(v\/((v\/(v*v\/((v\/(v\/v**9))\/v)))\/v*v)) assuming v is positive.\nAnswer: v**(122\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 - 2*g**2 - 1. Let l be c(-3). Let b(z) = 88*z**2 + z + 1. Let k be b(-1). What is the highest common factor of k and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4103 - -405614?\nAnswer: 401511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -95834, -95836, -95840, -95846, -95854, -95864, -95876?\nAnswer: -95890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1312781 divided by 10\nAnswer: 1312781\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 r, and 1 e when three letters picked without replacement from eessrererxsorsee.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (4 + -6) - (0 - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 8 = 0, -73389 - 131607 = 5*w + 2*i. Round w to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 291 - 140. Let h = 167 - d. Solve 0 = -4*z + 4*l - 20 - h, -2*z - 3*l = -7 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*x = -2*h - 43*x + 36352, 0 = 4*x - 4. What is the greatest common divisor of 25 and h?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1486872 (base 11) in base 5?\nAnswer: -1122320201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 - 6*p**2 - 2*p + 6. Calculate r(-6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*f**6 + 197011*f**3 - 1187635*f**2?\nAnswer: -240*f**3 + 1182066","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 459291 and 51324.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 425?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.17702 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 6288576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -815, -203, -659 in descending order.\nAnswer: -203, -659, -815","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + -2)*-1 - ((sqrt(7) - (sqrt(28)\/sqrt(4) + sqrt(7)))*-1 - sqrt(7)).\nAnswer: -sqrt(7) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10061 + 21946. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2671 + 2968. Calculate the remainder when x is divided by 150.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12120 and 270?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4544*u**5 + 219*u**2 - 3 - 7 - 3 + 27 - 11 wrt u?\nAnswer: 272640*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 - 3*k**2 + k + 1. Let a(m) = 265*m**3 + 18*m**2 - 6*m + 665. Let h(s) = a(s) + 6*n(s). What is the derivative of h(o) wrt o?\nAnswer: 777*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sl when two letters picked without replacement from {z: 2, l: 3, s: 3}?\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*b - 74*b = -86. Suppose b*r = 47*r - 4. Is r bigger than -2\/321?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12614446\/1471687 - -2\/210241. Factor -4\/7*q**2 - r*q - 144\/7.\nAnswer: -4*(q + 3)*(q + 12)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 494 is divided by 481.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112 = -4*t - 112. Let f = t - -59. Solve 4*g = 2*d - 5 - 1, f*d = -15 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 33972, 33987, 34026, 34101, 34224, 34407, 34662, 35001?\n\"Answer: 2*h**3 + h + 33969","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + 3*k + 31, -6 = 2*s + k - 14. Let r be (2 - s)*(-6)\/(-9). Let w be (0 - r) + -1 - 0. Which is greater: w or 1\/2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 410 divide 5587552063?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-4)*(-7 + (-207)\/(-27))\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 6, -2*w - 2*b + 7*b + 91 = 0. What is the greatest common factor of 304 and w?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 29970*j + 239979. Calculate v(-8).\nAnswer: 219","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/5))**(-47)*(u\/((u*u**(2\/3)*u)\/u))**(5\/17) assuming u is positive.\nAnswer: u**(4744\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -4*z - 301*z**2 - 3*z - 15 + 302*z**2. Let p be d(9). Find the third derivative of 48*u**p - 4*u**2 - 53*u**3 + 0*u**2 wrt u.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*v**4 + 2575*v**3 + v**2 - 58754*v wrt v.\nAnswer: -72*v + 15450","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-1\/7)\/i*(i**(-1\/7)\/i*i)\/i*i*i**(3\/5)*i**3 assuming i is positive.\nAnswer: i**(81\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**3\/15 - 19048*v**2\/15 - 645898*v\/15 - 1097044\/3.\nAnswer: -2*(v + 17)**2*(v + 9490)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(2\/9)\/j)\/j)\/j*j\/(j*j**(2\/3)))\/((j\/j**(2\/3))\/j**(-3\/2)) assuming j is positive.\nAnswer: j**(-95\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -99, -198, -297?\n\"Answer: -99*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -5*x**3 - 14*x**2 - 16*x - 11. Let r(q) = -q**3 + 1. Let o(v) = a(v) - 4*r(v). Let j be (221\/(-68))\/((-2)\/(-8)). What is the tens digit of o(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -31*z**3 - 4*z**2 - 15*z - 90. Is l(-4) a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -506*u - 7535. What is j(-15)?\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 558*t**3 - 40 - 11 - 557*t**3.\nAnswer: t**3 - 51","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -16*f**2 + 162*f - 17. Let q be i(10). Let v(z) be the second derivative of -z**4\/12 + 2*z**3\/3 - 2*z**2 - 8*z. Give v(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4022574?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*l - 1045 + 1123 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 44 (c) 583 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 25 = 4*d - 5*o, d = o + 6. Suppose d*l - 416 = 4*l. Is l a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -7.3 (b) 4\/11 (c) 582 (d) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -810 by -6.\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15710470*j*x**2 + 2*j*x + 694*x**2 - 5719*x wrt j.\nAnswer: 15710470*x**2 + 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1126688 is divided by 419.\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 371 and 477.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3080 + -190943\/62. What is the common denominator of -51\/16 and w?\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 + -3*1 - (-24 - -11). Suppose -13 = -s - 5*c, -s - 4*c = -5*c - 1. Let x = 7 + -3. Solve 10 = g - s*k, -x*g - 3*k = -2*k + d for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2747 + 1400. Let v = -505 - h. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8162859 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uee when three letters picked without replacement from {u: 4, e: 2, o: 10}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10723\/322 + -233\/7. Let z = 4819\/9660 - l. Find the common denominator of -61\/66 and z.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, -7 in descending order.\nAnswer: 3, 1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a milligram in micrograms?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, 403, 25 in decreasing order.\nAnswer: 403, 25, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*b + 48*b - 171*b + 41*b + 43*b + 3.\nAnswer: 2*b + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 6cbb (base 16) to base 15\nAnswer: 83aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -34603 - 1412*b**2 + 34603 to the form g + c*b + s*b**2 and give s.\nAnswer: -1412","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3\/(-6) - (380\/(-8) - -1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*m**4*w**3 - 64*m**3*w**3 - 3273*m**2*w**3 - m**2*w wrt m.\nAnswer: 72*m*w**3 - 384*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-19431 - 24852 + 10246 - 26554 + 8519)*(-3 + 3 - 2*a) in the form x + z*a and give z.\nAnswer: 104144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 12:11 AM?\nAnswer: 9:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -2529.01 to the nearest 100.\nAnswer: -2500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 56544395 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/21*-1*(-10 + 9)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5595513?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 315*q - 317*q + 246970. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29936396141 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 0, -1\/20, -2\/17, -1?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/4524 and -47\/22?\nAnswer: 49764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w - 3*w**2 + 3*w)*(4*w + 5 - 5) + (4*w + 0*w - 5*w)*(w**2 - w**2 - w**2) + 353*w**3 - 95*w**3 + 294*w**3.\nAnswer: 541*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 1:26 PM?\nAnswer: 12:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 13 = 4*k + 3*l, 4*k = 2*l + 22. Suppose 5*p - 9 = 2*v - v, k*p - 3*v = 3. Let a(u) = 5*u. Determine a(p).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9.999401 - -10. What is m rounded to 4 dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -113.6222346 rounded to 1 dp?\nAnswer: -113.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 84575 - -519346. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 bigger than -6474194?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1012735 - 6100901\/6. Let f = w + 4066. Let s = 1363\/190 + 164\/95. What is the common denominator of f and s?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 0 - 8 = -5*j, 0 = 4*m + 3*j + 12. What is the hundreds digit of m*(-2)\/(-4) + (349 - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3506 divided by -2991.\nAnswer: 3506\/2991","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**0\/(w*w**(-8))*(w*w**(-2)\/w)**(-6)*((w*w*w**(2\/9)\/w*w*w)\/(w*w*w**(-6)))**(7\/8) assuming w is positive.\nAnswer: w**(1823\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4002563?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f + 11. Let p be u(-8). Suppose -p*k + 5 = -2*k. Suppose -27 = -k*o - v, -6 = 3*o - v - 19. Solve o*w - w = -16 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 6 = 3*u, 0 = -261*s + 257*s + u - 2. Solve -439*y + 447*y + 8 = s for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1224?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87572?\nAnswer: 2, 21893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25.465 - -1.015. Let v = p - 0.72. Let r = -25 + v. Round r to one dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-5 + sqrt(153) + sqrt(153) + sqrt(153) + 0 + sqrt(153) + sqrt(153) + -4 - (5 + sqrt(153)*2)*-4)*-6 + 4)**2.\nAnswer: 1123200*sqrt(17) + 33670672","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + (-234)\/10 + 2\/5. Suppose -2*o = -4, 0 = -3*i - i + 3*o - 26. List the prime factors of (-3 + y\/i)\/((-18)\/(-780)).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g**2 - 18276*g - 440352 = 0.\nAnswer: -24, 6116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 593*g**2 - 1616 wrt g.\nAnswer: 1186*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5742 + -5471. Calculate the highest common factor of 7 and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 910338519?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(-7)\/294*7?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ykky when four letters picked without replacement from ykkkkky.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-9\/4))**(2\/19))**(2\/25) assuming o is positive.\nAnswer: o**(-1\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xgxxggxgxz. What is prob of sequence gxz?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5405, 10807, 16209, 21611?\nAnswer: 27013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, m: 7}. Give prob of sequence qm.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-230)\/20*-3)\/((-24)\/(-16))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 + 4 + d + 5*d - 5*d. Let q be h(0). Let t(s) = -s. Let v(l) be the first derivative of -l**2\/2 - 2. Determine q*v(g) - 5*t(g).\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1602 + -1547. Let x be (-6)\/(-27) + (-976)\/18. Let k = x + s. Solve -3*c - 4*i + 9 = -i, 0 = -3*c - i + k for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -g**5 - 13*g**4 + 1302*g**3 + 27014*g**2 + 50075*g + 24375 = 0. Calculate g.\nAnswer: -25, -1, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 251\/6 - 9\/(-54). What is the greatest common divisor of d and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -428 + 431.93. Let k = x + 0.07. Which is the third biggest value? (a) 2\/17 (b) 1\/3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -8*a**3. Let x be (2 - (2 + 1)) + 0. Calculate s(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15 or 8617?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -311 or 2408?\nAnswer: 2408","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -173, 1, -15, -0.7, -1\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86*s + 18*s + 2 - 2 - 3.\nAnswer: -68*s - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.1074642*-24\nAnswer: -2.5791408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 + 41. Suppose 0 = -2*k + 2*m - 30, -4*k - 87 = k + m. Let n = w + k. Does 12 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -9 (b) -4 (c) 0.787 (d) 3 (e) 5\/2 (f) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 (base 6) in base 9?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + 3*w + 246, 4*n - 255 = -w + 58. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 23787*d**2*v + d**2 + 218*v + 91 wrt d.\nAnswer: 47574*d*v + 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 497 - 494. Let t(f) be the second derivative of 1\/2*f**2 - f**w + 0 - 1\/3*f**4 + 4*f + 1\/20*f**5. What is t(5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24) + sqrt(96)\/sqrt(4)*-4 - sqrt(24))\/sqrt(8) + (sqrt(27)\/(sqrt(18)\/sqrt(2)) + 1)**2.\nAnswer: -2*sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 208378726?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 15198 from -591.90271.\nAnswer: -15789.90271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate c**3*t**3 + 102*c**3 + 225*c**2*t**3 + c with respect to t.\nAnswer: 3*c**3*t**2 + 675*c**2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 272, 359, 494, 677?\n\"Answer: 24*y**2 + 15*y + 233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5384248\/7 or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 3*t**4 - 24276*t**3 + 165246*t**2 + 36693300*t + 36503775 = 0?\nAnswer: -35, -1, 43, 8085","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.073 + -0.0687036.\nAnswer: 0.0042964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -139b + -155?\nAnswer: -1523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 43 - 31 + 48*d + 2*d**2 - 14*d - 20*d.\nAnswer: 2*(d + 1)*(d + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 - -2. Let b = j - -8.9. Let h = b + -0.9. Is h at most 1\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -188, 780, 104 in decreasing order.\nAnswer: 780, 104, -188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:15 PM and 6:48 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pppp when four letters picked without replacement from pyyypyyyyyyyypyyypyy.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**3 - 8260*u**2 - 3531905*u - 98658150.\nAnswer: -5*(u + 30)*(u + 811)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1817097, -1817096, -1817095, -1817094?\nAnswer: -1817093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = -3*b + 455 - 604, 243 = -10*b + 5*b - 6*z for b.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -521283*t**3 - 3735*t + 3?\nAnswer: -3127698*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24) - (sqrt(24) - sqrt(24)*1))\/sqrt(12) + (2 + sqrt(4)\/sqrt(2))**2.\nAnswer: 6 + 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -3.3. Let r = 544 + -548. What is the nearest to q in -3, 5\/2, r?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1142175 and 194?\nAnswer: 2284350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s = s + 240. Let f(h) = -12*h - 271. Let x = 72 - 7. What is the remainder when x is divided by f(s)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 AM and 5:45 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 2 = -2*a, -a + 3*z + 6 + 0 = 0. Let k(n) = -n**3 + n**2 + n + 3. What are the prime factors of k(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 5 (b) 3 (c) -5 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (-450)\/80 - ((-14)\/70 + 7228\/(-160)).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (264\/(-4928))\/(12\/(-24))\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 243414.9 decades in years?\nAnswer: 2434149","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -11 + -1 + (22 + -3 - 17)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, n: 1, r: 4, z: 1, x: 1}. What is prob of sequence zxrn?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 15 - 7 = -4*k, -18 = -k - 3*s. Solve -k*r + 6*j - 2*j - 14 = 0, 27 = r + 5*j for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 118185?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 + 3*i**2 - i. Let c be o(2). Suppose 3*y - 16 = -5*j, -5*j + 3*y + 5 = 1. What is the least common multiple of 2*(1 - c) - -12 and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1)\/((i\/i**(-5))\/i**(-4)))\/(i**36\/((i*i*(i*i**(-5))\/i)\/i**(3\/5))) assuming i is positive.\nAnswer: i**(-253\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, 0.12, -2, -210\/509?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-28)*w**16*w*(w*w**(2\/7)*w*w)\/((w**(-2\/7)\/w*w)\/w) assuming w is positive.\nAnswer: w**(-45\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 144 and (-864)\/(-120)*(13 + 2)?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4337 and 0.22.\nAnswer: -954.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 f, and 2 w when four letters picked without replacement from iigfffiwiwiwfif.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiii when four letters picked without replacement from iiiiiiqiiiiiiiiiqi?\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45 is divided by 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-4*(3*(sqrt(2299) + 0))**2 + -2).\nAnswer: -331064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + m + 2805 = 0, -23*m + 4180 = 3*u - 19*m. Suppose 14*a = u + 8484. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 339 and 196620.\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 224 + -210. What is the remainder when 367 is divided by a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 122\/(-66) + (-3)\/(99\/(-6)). Let x(c) = -c - 2. Let p be x(-4). Let g = -3 + p. Which is smaller: g or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3060*a**2 - 494*a + 244*a - 1461*a**2 + 252*a.\nAnswer: 1599*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 0*a = -6. Suppose -u = -3*q + 26, 0*q - a*u = q - 11. Is q a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/4981390 and -26\/2490695?\nAnswer: 4981390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 3*b**3 - 2*b**2 + 2*b - 1. Let q be r(1). Suppose 0 = 4*a - 42 + q. Suppose 0 = 3*j - 8 - a. Calculate the greatest common factor of 12 and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 346500 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1995313728, -1995313730, -1995313732?\n\"Answer: -2*q - 1995313726","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/1 + 3 - (-20)\/(-8). Let x = -2.43 + -0.57. Which is the smallest value? (a) m (b) 1 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 PM and 4:31 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/53178 and 13\/118.\nAnswer: 3137502","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 15*q - 8. What is the remainder when p(3) is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4417 - -4419. Let n(k) be the third derivative of 0*k**3 + 7\/60*k**5 + 0*k + 1\/3*k**4 + 0 - 2*k**o. Find the second derivative of n(s) wrt s.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c**2 + 5*c + 42. Let x(k) = -k**2 - k - 1. What is -m(v) - 4*x(v)?\nAnswer: 2*v**2 - v - 38","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.06 - 0.06. Let n = -1 - -1.2. What is the nearest to x in n, 5, -0.4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b = -2*b - 2*y - 12, y = -5*b + 15. Suppose -5*o = -j + 546, 5*j - 7*o + b*o - 2709 = 0. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 95*r*w - 127*r - 258*w - 11 with respect to r.\nAnswer: 95*w - 127","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 37050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2120563 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (31 + 2*c - 61 + 43 - 2*c**2)*(-c**2 - 1 + 1) in the form j*c**4 + x*c**3 + v*c**2 + p*c + w and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 4*q. Let b(c) = 1663*c - 4. Calculate b(t(n)).\nAnswer: 6652*n - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.97 - -2.37. Let h be -1*2 - 16\/(-6). Which is the closest to h? (a) 0.3 (b) 5\/2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 4*f + 213 = f, -c + 2*f = -73. List the prime factors of c.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 + 2*g + 2. Let j be s(1). Solve -5 = q - j for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*k - 13*k - 3*k**3 + 18*k**3 wrt k?\nAnswer: 90*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n = 17*c + 1134, -33 = 2*n + 4*c - 10*c - 423 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -414 + 314 = 25*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -528 + 532. What is the closest to g in -2, 8, -1?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/4 + 55\/10. Suppose -13 = k*r + 347. Is 13 a factor of (r - (0 - -1))*(1 + -2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-175)\/(-28) + 9\/12. Let a(p) = -p**3 + 7*p**2 + 8*p - 9. What is the tens digit of a(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 + 9 - 7 - -2) + 0.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -643 + 70. Suppose 47775000 = g*o - 580*o. Round o to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8*4892994\nAnswer: -39143952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 574985.6761 - 575038. Let s = -52.4 - h. Let g = -0.071 - s. Round g to 3 decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -702 by 18.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -37208 (b) 1\/3 (c) 1\/4 (d) -15\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1\/4))**1\/(d**(2\/7)\/(d*(d\/d**(1\/6))\/d)))\/((d*d**0)**(-30\/11)*(d*d\/(d**(-2\/3)*d))\/d*d\/d**(-2)) assuming d is positive.\nAnswer: d**(-593\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3486848 and 384?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10723 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -60 - 2*u**2 + u**2 - 9*u + 108 - 52. Suppose -3*y + 4*l - 21 = l, -4 = 4*l. Let n be a(y). Solve 4*w + x = 6*w, -n*w + 3*x - 2 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-1)*-2*(-12)\/48.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of -2*v**3\/9 + 38*v**2\/3 - 74*v\/3 - 153. Factor y(l).\nAnswer: -2*(l - 37)*(l - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (21\/9 - 2)*9. Is ((-4)\/(-12))\/(t\/2313) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 597?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 15*q**2. Suppose 0 = -2*j + 5*n + 29, n + 3 = j - 2*j. Let u(y) = 6*y**2 + 5*y**j - 3*y**2 - 6*y**2. Calculate u(l(f)).\nAnswer: 450*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -35 - -121. What are the prime factors of b?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83 is divided by 30.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -389*d**3 + 7 + 240*d - 2*d**2 + 8 + 12 + 387*d**3 - 31 in the form v + a*d**3 + s*d**2 + n*d and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhnnhh. Give prob of sequence hh.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.01 (b) -5.5 (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4788 is divided by 34?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-8) + 29\/(-4). Let n(f) = -3 + 2*f + 8 - 3*f - 5 - 5. Let z be n(v). Solve -z*u + 3*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(76) + 1*sqrt(76))*-5 - 6*(sqrt(76) - (sqrt(76) + 3 + sqrt(76)))) + -5)**2.\nAnswer: -208*sqrt(19) + 1385","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1080 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 11:00 PM?\nAnswer: 11:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - 10) + -2 + 2 + 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert b9b11d (base 15) to base 9.\nAnswer: 17572541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 + 13*i**2 - 14*i + 17. Let p be s(-14). Let v(m) = -m**2 + 17*m + 3. Let f be v(p). Let x(w) = -3*w + 5. Let o be x(f). Is -4 bigger than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (74 - 64 + 564)*(2*s - 2*s - s)*(4*s - 5*s - 5*s).\nAnswer: 3444*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = 3*x - 32, 0 = -3*o - 5*x + 283 - 220 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from twttttttdd. What is prob of picking 1 t and 2 d?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*u**5*y - 290083*u**3*y**3 + u**2*y**2 - 4*u**2*y + u*y - 4207*y**3 - y**2 - 4 wrt u?\nAnswer: -180*u**2*y - 1740498*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9568.8788 + 7634.\nAnswer: -1934.8788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17 and 272?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 66 and 66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -24*b. Let o(m) be the first derivative of 2*m**3\/3 - 7. Give j(o(f)).\nAnswer: -48*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of -9*t**2\/2 - 33*t + 51292. Let m(r) = r + 4. Let f be -1*(35 - 0) + 2. Determine f*m(g) - 4*k(g).\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.26368 + 1.73632. Which is the fourth biggest value? (a) -11 (b) 0.2 (c) n (d) -1\/3 (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 70 - 69. Let q be s\/1 - (-3)\/(-5). What is the closest to 1 in q, -0.14, 0?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -1353951\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 342 - 4320?\nAnswer: -3756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/4985746 and -41\/48?\nAnswer: 119657904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*d**3*t - 97*d**3*u - 39*d**2*t - 4*d**2*u - 19*d*t*u + 943*d + 11*t*u wrt d?\nAnswer: -30*d*t - 582*d*u - 78*t - 8*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2153080159?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20, 47, 86, 137?\nAnswer: 200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) + (sqrt(40)*-3)\/sqrt(8) + -3.\nAnswer: -2*sqrt(5) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -10 + 7 + 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d + 1. Let l be t(4). Suppose 2*w + l*n = 1, -4*w + 8 + 7 = -3*n. Find the second derivative of b + 46*b**w - 48*b**3 + 5*b wrt b.\nAnswer: -12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (8 + -17)) + -19 + 35 + 1.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -6 - 4*h + 3 + 11*h - 2. Let a(f) = -20*f + 14. Let z(x) = 6*a(x) + 17*r(x). Differentiate z(m) wrt m.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -431, -1157, -2151, -3419, -4967, -6801?\n\"Answer: -s**3 - 128*s**2 - 335*s + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -11, -3\/16?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5 + -3 + -1 - -2. Let f(j) be the first derivative of -1\/10*j**4 + 2\/3*j**r + 3 - 8\/5*j**2 + 8\/5*j. Suppose f(w) = 0. What is w?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -342.7 + 342.700001497. What is i rounded to seven decimal places?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 h when two letters picked without replacement from {h: 9, l: 5}.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 60\/26 + 3603024\/(-1541943).\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 10.74098 and -9.1?\nAnswer: -97.742918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 781 and 639?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -13*k**2*y - k**2 + 515*k + 75742*y wrt k.\nAnswer: -26*k*y - 2*k + 515","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + -3. Let v = 3.02 + -0.02. Let c be ((-78)\/(-18) + (-3 - 1))\/(-1). What is the nearest to -0.2 in c, v, q?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/7, -1\/10, -32, -41, 6, -5?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 - c**2 + c. Let d(r) = -1 + 1 + 3 - 25*r**2 + 3*r**3 + 24*r**2 - 3*r. Let o(b) = -3*d(b) + 6*i(b). Determine t, given that o(t) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3852 - -65532\/17. Determine k, given that 6\/17*k**2 - c*k + 208\/17*k**3 + 8\/17 + 96\/17*k**4 = 0.\nAnswer: -2, -2\/3, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3927?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -12 + 27, 0 = 5*p + 4*n + 10. Suppose -3*x = -5*k + 4 - 0, 4*k + 10 = -p*x. Let u(m) = -5*m - 3. Calculate u(x).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 1758 divided by 267.\nAnswer: 586\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 129 (b) -1.5 (c) 0.4 (d) 0.03 (e) -0.1 (f) 3\/16 (g) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -15 + 15 + -8 + (-1 - -5)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -125.9 - -130. Let w = 4.1065 - r. Round w to two decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 314254 + 476012 = 47125. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 + 18. Calculate the greatest common divisor of 160 and p.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t + 4 + 4*t - 2*t. What is the units digit of v(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eat when three letters picked without replacement from tweuanan?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (37\/(-74))\/(2*7\/28)*-13 - 32?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 642420019 to the power of 1\/3, to the nearest integer?\nAnswer: 863","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2\/15 (b) 85 (c) -0.21 (d) -4 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 3*c + 8*m = -m + 8*m - 21, -133*c - 513 = -11*c + 5*m for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -18\/3595 and 101\/38826?\nAnswer: 194130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 430*h**3 - 1596*h**3 - 2 + 2.\nAnswer: -1166*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1713\/(-2855)*5\/(-27)*2*1. Factor 1\/3 - 1\/9*j**2 + t*j.\nAnswer: -(j - 3)*(j + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -7 (b) 0.2 (c) 10 (d) -1\/11 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 57574675 (base 8) in base 15?\nAnswer: 117359d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 4*p - 97 = 0, 3*p - 44 + 171 = -4*j. Let t = -91 + 37. Let r = j - t. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14970, -29997, -45024, -60051?\nAnswer: -75078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2*4\/1 + (-41054)\/(-4737). What is the nearest to -43 in -0.2, z, 1\/11, 1\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*z - 4*c - 212 = 0, 2*c = -2080*z + 2082*z - 42 for z.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 4*g**2 - 14*g - 10. Let r(s) = s**2 - 18*s - 12. Let c be r(19). What is the remainder when q(c) is divided by 24?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = -2 + 6 + 2 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 6:00 AM?\nAnswer: 11:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**2\/4 - 24395463*c\/4 + 36593181\/2.\nAnswer: 3*(c - 8131818)*(c - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a centimeter in millimeters?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/5 of a decade?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 12 = -4*m, -3*b + 27 = -4*m. Let t(u) = -3*u + 1. Let y = 6 - 4. Let j be t(y). Sort 4, b, j in descending order.\nAnswer: b, 4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 4136 = -4032 for t.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 65 + -44. Find the second derivative of u*r**5 - r**5 + 18*r - 3*r wrt r.\nAnswer: 400*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -36*g. Let u = 27 + -28. Let p be 7 + (-3 - -1) + u. Let w(n) = -7*n. Determine p*s(j) - 21*w(j).\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -464 or -9\/10?\nAnswer: -464","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -102*u**3 + u**2 + u + 5. Let x(w) = w**3 - 1. Let v(l) = -6*x(l) - y(l). Suppose 3*s - 4*p = 7, 5*s - 4*s - 4*p = 5. Is v(s) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1213879341 to the power of 1\/5, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 21*u. Let h(m) = 9*m + 4*m - 29*m + 0*m - 9*m. Calculate h(j(r)).\nAnswer: -525*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*a**4 + 3*a**4 + 3*a**4 + (3*a**3 - 4*a**3 + 2*a**3)*(-a - 2*a + 0*a) - 3*a + 3*a**4 - 4*a**4 - 2*a.\nAnswer: -3*a**4 - 5*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, 0, -21858720 in ascending order.\nAnswer: -21858720, -2\/3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(1\/22)\/(d*d*(d*d\/(d\/(d**14*d*d)))\/d*d) assuming d is positive.\nAnswer: d**(-417\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, a: 4}. Give prob of picking 2 a.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*((a**(8\/9)*a)\/a)\/a)\/(a\/a**(-20\/9))*(a**11*a)\/(a**(-8)\/a) assuming a is positive.\nAnswer: a**(56\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 130764?\nAnswer: 2, 3, 17, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 21*v**2 + 9*v - 11. Is q(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23111310 + 0?\nAnswer: 23111310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -58132.68199 + 58157.86. Let b = x + -0.08601. Let o = b - 25. Round o to 2 decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 332581216.\nAnswer: 2, 11, 944833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 2 = -2*r. Let k(u) = 9 + 0*u**2 - u + u**r + u**3 - u**2. What is the units digit of k(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*p = -5*a + 1256, -28*p + 32*p + 2*a + 52 = 0 for p.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -1*(-7)\/35 + (-58)\/(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-28)\/14 + (11 - 1). Let q be (-6 + z)\/((-4)\/(-14)). Suppose -14*g + 126 = -q*g. What is the remainder when 70 is divided by g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25693 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 600457?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, -2, -223, 10.\nAnswer: -223, -2, 1, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of 4*f**3\/3 + f**2\/2 - f - 3. Calculate u(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 624 - 624 + 4848*y.\nAnswer: 4848*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 317 a factor of 2645048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are -1558 and -1472 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -261009016.\nAnswer: 1305045080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -30003 + 2?\nAnswer: -30001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 + 5*a + 5. Let x be h(-8). Let z = x - 26. Let g(u) = 5 - z + 3 - 2*u + 0. Determine g(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -33 - -92. Suppose -t + 3 = -k. What is the tens digit of t - (-4)\/(7 + -3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10 or -624?\nAnswer: -624","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2381.\nAnswer: 2381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65912 is divided by 4706.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*t - 2 = 24. Are t and 42\/299 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 5)\/4 - (51 + -53).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 114 divided by 5.\nAnswer: 114\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = 11*w - 203, 4*w + 0*w = 63*v - 65*v + 168 for v.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + 8564993 - (-70)\/10. Round v to the nearest one million.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**2\/((v\/(v*v\/(v*((v**9\/v)\/v)\/v)))\/v)*(v\/((v*v**(1\/10))\/v))\/((v**(1\/12)*v)\/v) assuming v is positive.\nAnswer: v**(-131\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 1)*(62*z + 470 + 32*z - 466).\nAnswer: 282*z + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + (-7 + 8)*4. What is the greatest common factor of b and 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - (5 - (7 + (6 - (6 - 4)) + -6))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of 0*p**5 + 0*p**3 + 0*p**6 - 3\/112*p**8 + 0*p**7 + 0*p + p**2 - 7\/24*p**4 + 0. Find the second derivative of o(i) wrt i.\nAnswer: -180*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2140 - 1109. Let m = 1030.6 - z. Let n = -2 - -1. What is the closest to n in -2\/13, -0.2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, h: 1, z: 2, n: 3}. Give prob of picking 2 z.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 90664892?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 + 2*z**2 + 2*z + 10. Let u be y(0). What is the highest common factor of 5 and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*p + 5*u - 10, 2*p + 0 - 5 = -3*u for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 18*s. Let v(u) = -1105995*u**2. Calculate x(v(z)).\nAnswer: -19907910*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**2*z*z**(3\/5))\/((z\/z**(-2\/9))\/(z*((z\/(z\/(z\/(((z\/(z\/(z*(z*z**(1\/4))\/z*z))*z)\/z)\/z))*z))\/z)\/z)))**(-20\/11))**(-43) assuming z is positive.\nAnswer: z**(989\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of -29*c**5\/20 + c**4\/6 + 2*c**3\/3 - 31*c**2 + 7*c - 1. What is the second derivative of l(g) wrt g?\nAnswer: -174*g + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 8:02 AM?\nAnswer: 2:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + f = -237518, -4*s + 107013 + 130491 = 6*f. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 - 54*190\/399?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-32)\/(-6) + 3 + (-39)\/9. Put 2, t, -1 in increasing order.\nAnswer: -1, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 236 and 14?\nAnswer: 3304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 278, 877, 1874, 3269, 5062, 7253?\n\"Answer: 199*q**2 + 2*q + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3 + 5)*(-1 + 1 + 1)*(10 + 7 - 4)*(-3 + 4 + 3)*(3*h + 3*h - 4*h).\nAnswer: -104*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/5 + (-130)\/(-50). Suppose 67 - p = i. Let s = 8 - -14. Calculate the remainder when i is divided by s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**5 + 4*f**5 - 5*f**5)*(-3 + 1 - 2) - f**5 - 3*f**5 + 5*f**5.\nAnswer: 13*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 0.4 (c) -2 (d) -30.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 - 6*i - 3. Let z be p(6). Let u = z + 2. Let b(t) = -t - 2. Determine b(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26 + -14. Suppose 0 = 2*j - 0 - w. Is 6 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92657 is divided by 1548?\nAnswer: 1325","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7\/3, -17, -3.\nAnswer: -17, -3, -7\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 9 + -104021?\nAnswer: -104018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -6 + 659*q**2 + 11*q - 2*q**3 - 663*q**2 + q**3 = 0.\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001039 rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 4*(-2)\/18*(-92598)\/5368\nAnswer: 23\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.4 (b) -9 (c) 373 (d) 85 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 1\/52, 4, -178.3, -4?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 + u**2 - 5*u - 10. Determine v(-3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 175071954?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 312819007 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of -j**4\/4 - 17*j**3\/3 - 3*j**2\/2 - 47*j - 260. Let a be h(-17). Solve 5 = a*b - 2*n - 5, 5*n = 25 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 - 3*x**2 - 3*x - 2. Let u be d(-2). Suppose 2*s - 89 + 21 = u. Let c be (3\/9)\/(2\/102). What is the greatest common divisor of c and s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17 + 32. Suppose -i - 25 = 4*f. Let k be (f - -4)\/(-3) + 13. Solve 0*r = -3*r + k for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 15 = 5*y + 6*g, 0 = 4*y - g - 12 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*o - 132 - 120 = -22 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*p + 228 - 296 + 68.\nAnswer: -10*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -6*m**2. Let i(b) = 1299*b. Calculate i(u(y)).\nAnswer: -7794*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -47119\/6 - -7853. Which is the nearest to 4\/7? (a) -1\/4 (b) t (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/920 and -109\/180.\nAnswer: 8280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 l when two letters picked without replacement from {v: 6, l: 12}.\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the third derivative of d**5\/60 - d**4\/6 - 2*d**2. Let j be u(3). Let a = j + 6. Put 0, a, 2 in decreasing order.\nAnswer: a, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 14*g + 17*g - 142 = 78 - 69, 235 = -5*g + 10*g for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2*m - 13*m + 12*m**2 - 13*m**2 - 6 + m. Suppose -5*g + z = -2*z + 31, -z + 37 = -5*g. What is the tens digit of h(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and (-144 + 6)\/(-7*7\/49).\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/30 - (2272\/(-30))\/(-2). Is u greater than or equal to 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*t**3\/8 - 1493418*t**2 - 38496735*t\/8 - 3982419\/4 = 0 for t.\nAnswer: -442491, -3, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1515*z - 227242*z**2 - 49 + 216718*z**2 + 43 wrt z?\nAnswer: -21048","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2832?\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 44\/5 of a hour?\nAnswer: 31680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 7 = -f + w, 11 = f - 3*w. Suppose -45*t + 136*t + 151*t - 1380 = 12*t. Which is the third smallest value? (a) 3\/11 (b) f (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-288)\/(-20)*(-270)\/(-162).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 4*k - 20 = 0, f + 4*k - 2 = 12. Factor -14*j + f*j**2 - 1 + 8*j + 5*j.\nAnswer: (j - 1)*(2*j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 0.2, -1.307, -12\/7 in descending order.\nAnswer: 0.4, 0.2, -1.307, -12\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3922 a factor of 154664070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 + 1. Suppose 0*m + 8 = -2*m + 4*i, i = 3. Let a(l) = 5*l**2 - 5*l - 7. Let j(k) = m*o(k) + a(k). Is j(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 3*v - 2. Let g be r(2). Suppose 0 = -g*k + 18 + 2. Let b = -8 + k. Which is smaller: 0 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*r**2*s**3*w + 1354*r**2*s**2*w**3 + 18*r*w**3 + 1239*r*w + s**3 + 10*w**3 wrt r.\nAnswer: 20*s**3*w + 2708*s**2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -9400*x**5 + 2098534*x**4 + 3709522*x**3 - 1051192*x**2 - 1800*x = 0.\nAnswer: -2, -2\/1175, 0, 1\/4, 225","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1601364 and 206.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 0*u - 5*u - 4*u + 8*u + 4. Let k be -1 - -1 - (-6 - -4). Suppose 3*c - k*m = 5, 4*m + 4 = c + 3*c. Let x(r) = -r + 5. Determine c*j(v) - 2*x(v).\nAnswer: -v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4590 and 424620.\nAnswer: 21655620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -143436971 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 2*s. Let j(p) be the first derivative of -19 + p + 25\/2*p**2. Let y(x) = 24*x + 1. Let u(i) = 5*j(i) - 6*y(i). What is g(u(z))?\nAnswer: -38*z - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 4*r**2 + 3*r - 1. Let v(l) = 12*l**2 + 8*l - 3. Let t(w) = 8*p(w) - 3*v(w). Suppose 13 = -17*f - 4. Determine t(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 437431643?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 4 = 14. Suppose k = -z*k + 144. Let s = k - 23. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -11.3, -2016206, 1?\nAnswer: -11.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14 - -10. Let n(k) = k**2 - k. Let b be n(u). Let h be 44\/(-85) - (-8)\/b. What is the smallest value in -4\/7, h, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 366466 and 388.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*o = -q + 4*o + 12, -5*q + 5*o = -10 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fh when two letters picked without replacement from {p: 1, u: 2, f: 1, h: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 360 - 359.791. Let s = 0.209 - u. Put s, 2\/3, 4, 4\/9 in decreasing order.\nAnswer: 4, 2\/3, 4\/9, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -29\/4 - -7. Sort -1, n, -1\/3, -2\/9.\nAnswer: -1, -1\/3, n, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1922829030 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 22\/(3 - 1)*6*5\/(-15)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2928*l**3 + 3*l**5 + 31717712*l**4 - 31717712*l**4)*(0 + 4 - 5).\nAnswer: -3*l**5 - 2928*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 57 + -54. Let x(p) be the second derivative of -1\/2*p**n + 0 - 2*p + 3\/2*p**2. Differentiate x(s) wrt s.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of -d**6\/15 - 83*d**5\/5 - 12097*d**2\/2 - 56*d - 29. Find the first derivative of u(z) wrt z.\nAnswer: -8*z**3 - 996*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z - 1211822 - 2306978 = 0. Is 85\/(-30) - -3 - z\/48 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72095690123 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.07*-1767\nAnswer: 123.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5420, 42948, 144824, 343226, 670332, 1158320, 1839368?\nAnswer: 2745654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 972 in 0.6, 0.03, -0.4, -1?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(1 + (sqrt(2) - sqrt(50)*2 - (sqrt(2) + sqrt(12)\/(sqrt(6) - sqrt(54)))**2)).\nAnswer: -1 + 18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 313309421?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 - 132 - (3 - -1) - -4?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 3785*p**2. Let n(c) = -1181*c. What is n(j(d))?\nAnswer: -4470085*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 589655 and 1331.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2566 is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28\/3)\/(76 + 11440\/(-150)).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.43, 17, 15 in decreasing order.\nAnswer: 17, 15, -2.43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1633*f**3 - 85*f**2 + 85*f**2.\nAnswer: 1633*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 - 17. What is the second smallest value in 0, -2\/15, u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -f**3*k**2 + 7057*f*k**2 - 5303*k**2 wrt f.\nAnswer: -3*f**2*k**2 + 7057*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30516.\nAnswer: 2, 3, 2543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -3*w**4 + 3*w**3 - 30*w**2. Let v(x) = 8*x**4 - 8*x**3 + 92*x**2. Let z(n) = 11*r(n) + 4*v(n). What is the third derivative of z(q) wrt q?\nAnswer: -24*q + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -45\/292 and 5\/4?\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(2*(112\/7)\/(-448)))\/9.\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m - 2 - 2*m - 4 + 0*m**2 + m**3 + 3*m**2. Let k be y(-3). Calculate the common denominator of (0 - k) + 136\/(-176) and 11\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 13 (b) 5\/4 (c) 1711\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 297636*v - 293646*v + 3 - 2.\nAnswer: 3990*v + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/2024 and -43\/24?\nAnswer: 6072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 38 + -23. Suppose 0 = 4*f - 3 + i. Let j = f + 34. What is the remainder when j is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 - 4*(63\/12)\/(-3). Suppose -2*b + 2 = -j. Solve 2*a = -2*d + 4, -3*d + 3 = b*a - 3 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/2478 and 61\/570648.\nAnswer: 3994536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*117 - (-5200 - -5297).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 667 = 6*r. Let x = -270 + r. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 7*g + 12 = 0, m - g - 9 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-360)\/(-300)*120\/(-9).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 625*w**2 + 2*w**3 - 21*w**3 + 14*w**3 - 625*w**2.\nAnswer: -5*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -10110 (base 2) in base 8?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 1:58 AM?\nAnswer: 8:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-5)\/4 - 220321\/(-212)?\nAnswer: 2, 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 79216971?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 583254389 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1331) + -2 + sqrt(1331) + sqrt(1331))*-4)**2 + sqrt(44)\/(sqrt(20)\/(sqrt(5)*-1)).\nAnswer: -2113*sqrt(11) + 191728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -72*c - 18018*c**3 + 3*c - 3 + 2*c**2 + 18016*c**3 + (2*c**3 + 1 - 1)*(-2 + 0 + 4) as o*c**3 + a + y*c**2 + k*c and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -940*s**3 + 940*s**3 + 4*s**4 - 2 + 5*s to the form a*s + t*s**4 + b + o*s**2 + z*s**3 and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2057)*-2 + 2 - ((sqrt(2057)*-2)**2 + sqrt(2057))*-1 - (2 + 4 + ((sqrt(153)*-2)\/sqrt(9))**2).\nAnswer: -11*sqrt(17) + 8156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in sixty-seven quarters of a gram?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-180)\/140 - 2*1\/(-7). Let q(i) = i**3 + i**2. Let f(y) = 5*y**3 - 13*y**2. Let z(w) = n*f(w) + 4*q(w). Find the third derivative of z(u) wrt u.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11ab (base 14) to base 4.\nAnswer: -300103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2 - 9*f - 11. Determine l(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 12) in base 6?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 26815686 rounded to the nearest 1000000?\nAnswer: 27000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40012.\nAnswer: 2, 7, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 - 4*z + 393 + 2*z - 399. Let q(i) = -3*i**2 + 9*i + 29. Let l(b) = -3*b**2 + 8*b + 25. Let n(u) = -4*l(u) + 3*q(u). What is -4*n(j) + 9*s(j)?\nAnswer: -3*j**2 + 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 126406, 126583, 126760, 126937?\n\"Answer: 177*q + 126229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 0)\/((-6)\/24) - 4\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(38)\/sqrt(2) - sqrt(19) - sqrt(19)) + 0 + (sqrt(19) - -2*sqrt(171)))**2 + (sqrt(684)*2 - sqrt(684))**2 + sqrt(95)\/(-1*sqrt(5)).\nAnswer: -sqrt(19) + 1368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*j**3\/7 - 24*j**2 + 320*j\/7 = 0. What is j?\nAnswer: 0, 2, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/8? (a) -2\/21 (b) -26 (c) -44 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*w - 14. Let d(q) be the second derivative of q**5\/20 + q**4\/6 - q**3\/3 + 5*q**2\/2 - 10*q. Let h be d(0). Put w, h, 0 in descending order.\nAnswer: h, w, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 40*j - 45*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 94509877?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61556745?\nAnswer: 3, 5, 17, 283, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -1, 2.7, -2, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 10036455.\nAnswer: 1003645.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000952821 to 7 dps.\nAnswer: -0.0000095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 45, 171, 499, 1125, 2145, 3655, 5751?\n\"Answer: 16*p**3 + 5*p**2 - p + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/23922 and 47\/1377?\nAnswer: 1220022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.57780366 to one dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 44447445 to the nearest integer?\nAnswer: 354","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 156 and 4524.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 90743349 and 465711.\nAnswer: 8787","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6275758 - 11475758. What is q rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of -2\/9*h - 1\/3*h**2 - 1\/9*h**6 - 2\/45*h**5 + 4\/27*h**3 - 5 + 1\/3*h**4. Solve g(a) = 0.\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17813108 is divided by 1040?\nAnswer: 1028","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -2464\nAnswer: -1\/616","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 5:03 PM?\nAnswer: 1:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 71854, 143633, 215412, 287191?\nAnswer: 358970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 4*y = 16, -5*g + 4 = -g + y for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.0258 - 329.1?\nAnswer: -321.0742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (12 - 10 - (0 + 9)) - -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 177157 to the nearest integer?\nAnswer: 421","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 2*u = -11, 4*p + 3*u - 6 = 3 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11442141 (base 5) to base 8.\nAnswer: -324766","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10 + (4 - 18) + 182. What is the greatest common factor of i and 1602?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/5 of a litre in millilitres?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/4 - 5\/(-52). Let w = -0.11 + 0.56. Let j = w - -0.05. Which is the second biggest value? (a) j (b) n (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -5*j + 2*j. Suppose 2*x - 2 = j*c, x + c + c = 10. What is the least common multiple of 2 and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5 or 7128\/1645?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/(-6))\/(4\/8). Let l be 1\/(1\/2)*p. Factor 8*t**2 - 4*t**l - 1 - 3.\nAnswer: 4*(t - 1)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 16*i + 1. Let t(q) = -3*q + 7. Let u be 308\/60 + 20\/(-150). Let g(s) = -2*s + 5. Let c(x) = u*t(x) - 7*g(x). What is 6*c(y) + p(y)?\nAnswer: 10*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2810 by 562.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -10*t - 19*t + 20*t**3 + 5*t - 24*t**2 + 8 + 16. Let y(n) = 4 - 3 - n + 0 - n**2 + n**3. Determine l(u) - 24*y(u).\nAnswer: -4*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/240 and -51\/5?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 23*t**3 + 5*t**2 + 2*t - 5. Let m(w) = 35*w**3 + 7*w**2 + 3*w - 7. Let d(z) = 5*m(z) - 7*r(z). What is the second derivative of d(f) wrt f?\nAnswer: 84*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (320\/(-30))\/(34\/51)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9\/10 - 13\/20. Let f = 16.3 + -16. What is the closest to n in 5, -0.4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -102 + 23?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3412 + 8698*t + 8832*t - 3285 + 6697 to the form j + l*t and give l.\nAnswer: 17530","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -4*m - 6. Let x(v) = -13*v - 3. Let j(l) = 6*l + 2. Let g(w) = -7*j(w) - 3*x(w). Determine -5*g(a) + 4*r(a).\nAnswer: -a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - -19. Suppose 7*w + 1144 = 9*w. Suppose -2*m - i - 3*i = -374, 0 = -3*m + 5*i + w. Calculate the highest common divisor of m and b.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2520*p**3 - 3*p + 18.\nAnswer: -15120*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7311 - -650681\/89. Let w = 0.14 + -0.05. Are h and w equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 284916 divided by -5.\nAnswer: -284916\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 4) to base 3\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -1035540\nAnswer: -1\/258885","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(-6) + (-8 - (-225)\/(-54)). Suppose -2*t - 2 = -8. Put -4, -5, v, t in descending order.\nAnswer: t, -4, -5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ryr when three letters picked without replacement from yjrrjjyjyj.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(256) + sqrt(256)*3))\/(-4*(sqrt(2) + sqrt(32)) + sqrt(18)\/(sqrt(18)\/sqrt(2))).\nAnswer: 32*sqrt(2)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 9 + -5 + (-8 - -11)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 5160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -2198380\nAnswer: -1\/549595","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 36, 111, 206, 321, 456, 611?\n\"Answer: 10*a**2 + 45*a - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11 in 16, -95, -0.4, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140 = 4*t + t. Let n = t + -13. Let s = -8 + n. Calculate the remainder when 19 is divided by s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 3*w - 37 = 2*w, -2*x - w = -1. What is the units digit of (-9)\/(x - 0) + 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1525187 is divided by 36?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3112, -3257, -3486, -3805, -4220?\nAnswer: -4737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/1899 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 643674?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 4*n = 33, 2*s - 3*n + 53 = 14. Let d be (-56)\/20 - 2 - 12\/s. Put -5, d, -2 in decreasing order.\nAnswer: -2, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 35 + (45 - 82) + (23 - 0)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 + 3*o - 3. Let h = 7 - 4. Let u be x(h). Solve 2*w + w + u = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 955779 divided by -11\nAnswer: -86889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 431615 to the nearest 10000.\nAnswer: 430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 70\/69305263 or -1?\nAnswer: 70\/69305263","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -254072 (b) -1\/2 (c) -4 (d) 4\/5 (e) 2 (f) 4\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(4\/(-181)) - 3\/(-6). What is the common denominator of -35\/2 and 2\/(-3) - 1068\/b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jss when three letters picked without replacement from {j: 4, s: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w + 0*w + 0*w)*((-2 + 3 + 0)*(-3*w + 2*w + 0*w) + 34*w + 156 - 156).\nAnswer: 66*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/2 - 1470\/245) + 84 + 0.\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/(i**(-7\/2)*i)*i*(i\/i**(-5))\/i assuming i is positive.\nAnswer: i**(19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2513?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/27, -5, -2\/7, 1.2 in increasing order.\nAnswer: -5, -2\/7, -2\/27, 1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 5*g**3 + g**2 - 2*g - 3. Let m = -8 - -4. Let z = m + 2. Calculate the common denominator of 70\/9 and k(z).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2221832*k**2\/9 - 96968*k\/9 - 1058\/9.\nAnswer: -2*(1054*k + 23)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 16) in base 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 28*s + 5 = -31*s, 4*s = -5*l - 30 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 + 7*k**2 - 3*k - 9. Let v be z(-7). Suppose -v = 3*w - 7*w. Let i = -14 + w. Let j(o) = -o + 2. Let y(q) = -5*q + 10. Calculate i*j(f) + 2*y(f).\nAnswer: f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 777?\nAnswer: 1554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -30, -15\/8, -2\/37, -4, -15, -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 27125 divided by 3\nAnswer: 27125\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (25\/((-11875)\/(-76)))\/(-4)*40\/12.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 + 4*z + 1. Let v be q(3). What is the first derivative of -2 - 5*b**v + 5*b**4 - 4 - 5*b**4 wrt b?\nAnswer: -20*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 + 0)*(-2*y + 8*y - 2 + 1).\nAnswer: 18*y - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a. Let p(i) = i**2 - 5. Suppose 0 = -0*v - 5*v - 25. Let y(x) = v*o(x) + p(x). Calculate y(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 315757 is divided by 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l - l**4 + 7*l**4 - 4*l**4 + 2*l**2)*(-18 - 15 - 21).\nAnswer: -108*l**4 - 108*l**2 + 108*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -242, -1, 5, -0.2 in increasing order.\nAnswer: -242, -1, -0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.14085729606 rounded to 4 decimal places?\nAnswer: -0.1409","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 27517760?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 - -983145.\nAnswer: 983145.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 7 - 9 = 0. Suppose -5*m = -2*a - 53, 0*a = 4*a + 16. Let w = m + h. Solve -6 = -w*p + 9 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pl when two letters picked without replacement from {f: 1, l: 1, p: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720) - (sqrt(720) + -4 + sqrt(720))**2) + ((sqrt(225)*-2)\/sqrt(5))**2.\nAnswer: -2716 + 204*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 38 + 53 = 2*k, -k + o = 5 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + 10006?\nAnswer: 10009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 145701134977 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*z**4 - 9180*z**3 - 7031862*z**2 - 13999524*z + 21040569 = 0. What is z?\nAnswer: -1529, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1487043 and 762.\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*h + 2 + h**4 + 9 - 6*h - 5 to the form n*h**2 + r*h**3 + v*h + p + l*h**4 and give p.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 4*t + 229 = 49, 4 = -2*t. Suppose 0 = -2*a + q + 15. Calculate the remainder when a is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 + 8*o + 4. Let h be ((-12)\/5)\/(34\/(-85)). Give a(h).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/(4 + 2 - 4). Is -30\/7 at most as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11451?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 + -3. Let s(z) = z**2 + 1. Let y be s(1). Let b be (-10)\/(-3) - y\/x. Sort b, 0.3, -2\/11.\nAnswer: -2\/11, 0.3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 4*r - 57, -349*r + 352*r - 6 = 0. What is the remainder when 4390 is divided by a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14 + -130. Let k = a + 140. Suppose -3*m + k = -0*m. Solve 4 + m = 3*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1457348486749 - -2\nAnswer: -1457348486747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum -17497453 and -4348.\nAnswer: -17501801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w**2 - 290*w - 6372 = 0.\nAnswer: -118, -27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 306764 and 12773.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -103*h + 102*h + 1. What is the lowest common multiple of 7 and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3288507 - -4?\nAnswer: 3288512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -266 = -26263*z + 26270*z, 3*n - 3*n + 3*z + 102 = -n - 3*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 235 = -5*u, -u - 5*a + a + 50 = 0. Let z = u + -45. Put -2, z, -1, 2 in decreasing order.\nAnswer: 2, z, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 - 9*o - 15. Let j be u(11). Find the second derivative of -2*s + 14*s**4 - 3*s + j*s - 19*s**4 wrt s.\nAnswer: -60*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0.1, 0, 1\/3, 0.13 in descending order.\nAnswer: 1\/3, 0.13, 0.1, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26711.\nAnswer: 26711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 AM and 12:25 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -3*j - 17. Let p(g) = -6*g - 34. Let i(x) = 7*o(x) - 3*p(x). Let l be i(-5). Is 4 a factor of -3 + 2 + l + 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/3 + 0)*3. Let o = 24 - 20. Suppose 3*t + 27 = 4*q, t + 14 = 3*q - 0*q. Sort o, n, t.\nAnswer: t, n, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2609*-62.\nAnswer: 161758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k. Let g(r) = 4*r**3 - 2*r**2 - r + 1. Let c be g(1). Let q(h) = 13*h**2 + 0*h**2 - h**c. What is f(q(s))?\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 188 is divided by 32.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59065 is divided by 19?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 39731579 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-9))\/((-764)\/24066).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, -7, -16, -5, 17 in increasing order.\nAnswer: -27, -16, -7, -5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -55\/229441?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.89 - 0.4. Let v = -0.4900042 + c. Round v to 6 decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 2*c - 10213 = 0, -73*k + 4*c = -72*k - 10203. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from oktoiqitit?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 2 + sqrt(720) + -2 + sqrt(720) + 2 + 2 + (sqrt(25)\/sqrt(5) + sqrt(5))**2.\nAnswer: 22 + 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 394*f + 322*f - 79*f - 1 - f**4 as z*f**4 + b*f**2 + a*f**3 + n*f + r and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 174780?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 + 37*q**2 + 316*q + 11. Determine k(-7).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 16141226?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*p - 11543 + 11783 = 0 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*d*n**2*v + 197*d*n*v**3 - 2*d*v**2 + 3*d*v + 6*n**2*v**3 + 10*n**2*v - 14*n*v wrt v.\nAnswer: 1182*d*n + 36*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-3) + (-170)\/(-51). Suppose -5*x = -3*x + z*v - 365, v + 564 = 3*x. What are the prime factors of x?\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g**5 + g**5 + 2*g**5)*(-4 - 4 - 18) + (-5*g**2 + 3*g**2 + 0*g**2 + 1 + g)*(0*g**3 + 3*g**3 + 0*g**3).\nAnswer: 20*g**5 + 3*g**4 + 3*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-10) - 395\/(-50))\/6?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c - -94d7?\nAnswer: 94e4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 251879 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b + 9d7?\nAnswer: 9cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 246 and 1427514.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 3*h**2 + 8*h - 5. Let z be x(-6). Suppose -i + 5*k - 15 = 0, 65*i + 5*k = 68*i + 5. What is the highest common divisor of i and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-3 + 2 + sqrt(99) + 2*sqrt(99) + 2 + -2*sqrt(99))**2.\nAnswer: -400 - 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5538, -12, -3, 6 in decreasing order.\nAnswer: 6, -1, -3, -12, -5538","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b**3 - 2*b**3 - 2*b**3)*((2*b**2 - b**2 - 4*b**2)*(-6 - 30 + 2) + (2*b - b - 2*b)*(-1 + 2*b + 1)).\nAnswer: -100*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, m: 1, w: 2, o: 3, v: 9, t: 2}. What is prob of picking 1 v, 1 o, and 1 n?\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 965200167 to the power of 1\/3, to the nearest integer?\nAnswer: 988","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -2 + 4*-1*sqrt(320) + (sqrt(320)*1 + sqrt(320))*1 + -4.\nAnswer: -16*sqrt(5) - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-3*3*sqrt(325) - (-4*sqrt(52) + sqrt(13) + -2))*-4)**2.\nAnswer: -1201664 + 9728*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/60*(-132)\/11.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = k + k. Put 2, 1, k in descending order.\nAnswer: 2, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -246*s = -5*i - 247*s + 152, -56 = -2*i + 2*s for i.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.02 (b) 120 (c) 41576\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*h = -38*h - 1320. What is the lowest common multiple of 27 and h?\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3*6)\/1*-1. Let x be 352\/36 - (-4)\/w. Let i = x + -5. What is the highest common divisor of 5 and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23002002 + 2?\nAnswer: -23002000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14053 and 35903?\nAnswer: 21936733","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i. Let o(n) = -35*n. Calculate o(x) - u(x).\nAnswer: -36*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 PM and 8:16 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 219930 and 39870.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 + n**2 + 6. Let u be z(0). Suppose -4*g = -g + 2*o - 34, o - 22 = -2*g. Let q = g + -4. Solve -r - u*c + 4*c = 6, q = -2*r - c for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 429 is divided by 127?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133*l + 121*l + 43744 = 511*l + 844*l for l.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a decade in months?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s. Let u(n) = 5*n**2 + 4254*n. Determine u(p(t)).\nAnswer: 5*t**2 - 4254*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*m - 495 = 2*m for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-17 - (-17 - -8)) + 2\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.906 - -2.27. What is y rounded to 2 dps?\nAnswer: 0.36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 PM and 5:32 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4600.223 - 7.9445.\nAnswer: 4592.2785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2897.342 millennia to centuries.\nAnswer: 28973.42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22285 by -5.\nAnswer: 4457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 17 = 4*o, 4*o = 4*z + 2 + 14. Suppose 0 = 3*g - 18. Put -4, g, o, -5 in ascending order.\nAnswer: -5, -4, o, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*(4 - 3) + 7. Suppose -31*w = -29*w + t. Let i(j) = -4*j**2 + 5*j - 5. Let p(b) = -2*b**2 + 3*b - 3. Calculate w*i(g) + 5*p(g).\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 439 - 441. What is the nearest to -33\/2 in h, -0.5, 2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -z**2 + 679*z + 278496 = 0.\nAnswer: -288, 967","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2133*l. Let w be x(0). Is w greater than 25\/61?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 15509906*f**2 + 14821632?\nAnswer: 31019812*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 + 18*w**2 + 19*w + 1. Let v be s(-17). What is the common denominator of ((-238)\/v)\/(-2) - -3 and -7\/18?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide (4 - (-384)\/(-15))\/(6\/(-120))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 2*t - 16. What is a(47)?\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 588 + 2326 = 5*k, k + s = 582. What is the hundreds digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 1947270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2337, -4633, -6915, -9177, -11413?\n\"Answer: k**3 + k**2 - 2306*k - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13833 + -9208. What is the greatest common factor of 37 and c?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3750*j**4 + j**2 - 13 - 3643*j**4 - 2*j**3 + 12 to the form g + v*j**4 + n*j**2 + x*j + w*j**3 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ukkukukuuukuk. What is prob of picking 1 u and 2 k?\nAnswer: 105\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38, -413, -1036, -1907?\nAnswer: -3026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**2 + 33*z - 1. Let p be i(0). Is 11\/1720 bigger than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 + (-971 + 0)\/(1 + -2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 586422996 to the nearest integer?\nAnswer: 837","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 871*q - 3387. Determine i(4).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 13*g. Let x(h) = -6*h. Let q(o) = 12*o. Let n(d) = 3*q(d) + 5*x(d). Give n(b(y)).\nAnswer: 78*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 4:59 PM?\nAnswer: 12:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 - -1 - (-2)\/5. Let s = 3 - 3.2. Which is the third smallest value? (a) y (b) 1 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 + 15 + 141 = 12*u for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 3*sqrt(704)*3.\nAnswer: -3 + 72*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -18187 (b) -1 (c) 5 (d) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjj when three letters picked without replacement from {j: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65983 is divided by 2621?\nAnswer: 458","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 PM and 3:24 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 11:58 PM?\nAnswer: 12:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 49155784967 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 + 2*g**2 - 6*g - 10. What is c(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 96 and 8699352.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 555?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = -2\/2331?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21 and 2160393.\nAnswer: 15122751","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/10 of a meter?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1313*q**3 + 733*q**3 - 983*q**3 + (2*q**2 + 0*q**2 - 4*q**2)*(1 - 1 - q) - 4 + 4 + 2*q**3 to v*q + y + s*q**2 + z*q**3 and give z.\nAnswer: -1559","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 < 1\/580499?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.9*0.4.\nAnswer: -0.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 4*j = -6*j + 10, 3*j = -2*o + 14 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -51853 to the nearest one thousand.\nAnswer: -52000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times -0.002?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -9787400 divided by -4?\nAnswer: 2446850","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3512212*j**3 - 8758878.\nAnswer: -10536636*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g**2 - g**3 - g**2 + (0 + 6*g - g - 1)*(4*g**2 + g**2 - 3*g**2) + 0*g + 0*g + 2*g**3 to the form h*g**3 + o + y*g**2 + l*g and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 174 a factor of 370838213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5851\/772912 + 3\/2884. Calculate the common denominator of d and 57\/134.\nAnswer: 1072","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - 22.1?\nAnswer: -14.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/378 and 137\/486.\nAnswer: 3402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1 and 262?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, 5, -24, -308, 1, 4 in decreasing order.\nAnswer: 5, 4, 1, -4, -5, -24, -308","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 71 + (-110 - -175) - 138\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/443840 and -57\/2920.\nAnswer: 443840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 11071 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 8312098 to the power of 1\/3, to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1512 - -11453?\nAnswer: 5541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v - 60 = -12*v. What is the smallest common multiple of v and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*o**5 - 564*o**4 + 9584*o**3 - 2624*o**2 - 8576*o + 4160 = 0. What is o?\nAnswer: -26, -1, 2\/3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04130089 to 5 dps.\nAnswer: -0.0413","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9245?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000 - 10000011000?\nAnswer: -10000101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 - -10. Let u = -3.6 - o. Let w = 9 - 9.1. Which is the nearest to 1? (a) w (b) u (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26079 to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -11a3a - -7a?\nAnswer: -11990","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = -3*k + 9, 31*k - 28*k - 9 = -4*c for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26644 divided by 139.\nAnswer: -26644\/139","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 56*w - 16388. What is s(292)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 14674303.15 + -3?\nAnswer: 14674300.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28591?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3359 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are 22732 and 22733 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, 2, 51, -5.\nAnswer: -5, 2, 19, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - -13)*8\/60?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 AM and 8:57 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -22 + 13?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5664?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 8 = 58. Let f = i + -36. Let l(o) = o**3 + 9*o**2 - 16*o - 5. Let n be l(f). What is n rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 15 + 0*j - 4*j - 8*j. Let i be (-2)\/2 + (-12 - 28\/(-4)). Is w(i) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1390121 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*d - 65*d = 837120. Round d to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of s**4\/4 + 3*s**3 + 5*s**2\/2 + 3*s - 103. Give p(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:29 PM and 8:27 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 628.\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 165922604 to the nearest integer?\nAnswer: 12881","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 158\/13 (b) 1\/7 (c) -0.24 (d) 5 (e) -144\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 751, 5974, 20139, 47716, 93175, 160986, 255619?\nAnswer: 381544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -2*m**4 + 32*m**3 + 44*m**2 - 176*m + 102 = 0.\nAnswer: -3, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 3*j**3 + 22*j**2 + 2*j - 1. Let l(i) = -i**2 - i + 1. Give 2*l(x) + z(x).\nAnswer: 3*x**3 + 20*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -60306591470.4573 - -1\nAnswer: -60306591469.4573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of -f**4\/6 - 25*f**3\/6 - 2*f**2 - f. Let n be k(-12). What is the tens digit of (-328)\/(-6) + -2 + n\/(-12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - ((-382)\/22 + (-2612)\/(-7183))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/5 of a micrometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.09 + 4.09. Let d = -3 - 2. Which is the third biggest value? (a) d (b) -3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 786175 and 57775?\nAnswer: 1816850425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1001222221 (base 3) to base 12\nAnswer: -10297","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sbyb when four letters picked without replacement from kshkskybkhkbbbbb?\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.15 - -1.17. Let q be 1\/(-21)*84\/(-7). Which is the smallest value? (a) 3 (b) 2\/5 (c) s (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 6) to base 12.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 305309.47 to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (1089\/(-495))\/(1*3\/(-1*30))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from ggzzgggggvnggggzzggz?\nAnswer: 39\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -200, 4, 9 in descending order.\nAnswer: 9, 4, -200","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) 1 (c) -5 (d) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 220886391?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4*((-99)\/(-12) - 4). Let m(c) = -17*c**2 - 6*c + 6. Let a(d) = 51*d**2 + 17*d - 17. Determine g*m(t) - 6*a(t).\nAnswer: -17*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t + 3*t + t)*(t + t - 4*t) - 43*t**2 - 104*t**2 - 217*t**2.\nAnswer: -368*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -0.03, 291571?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of -b**7\/210 - b**5\/60 - b**2 - 2. Let h(r) be the second derivative of f(r). Find the third derivative of h(n) wrt n.\nAnswer: -24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = -3*b + 3 + 15, -5*b - 4*s - 6 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 852292 to the power of 1\/2, to the nearest integer?\nAnswer: 923","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 51, 95, 139, 183?\nAnswer: 227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.404 + -5. Let y = 0.6 + h. Round y to two dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 323177323 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1509 * -36\nAnswer: -54324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/1378 or -1?\nAnswer: 1\/1378","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 59.6 times -32.385?\nAnswer: -1930.146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a factor of 2389?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 3*b - 5 + 0 - 3*b**2 + 5 + 4*b**3 + 3. Suppose 5*l + 12 = -3. Let k(g) = 5*g**3 - 4*g**2 + 4*g + 4. Determine l*k(p) + 4*o(p).\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 532?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.1 + 0.9. Suppose -6*x = -x. Let u be 1 - (x - 28\/(-20)). Which is the nearest to r? (a) -3 (b) -4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 913 - 900. Let q(h) = h**3 - 6*h**2 + h + 4. Let k be q(6). Are l and k non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mdoosogoomosmssm. What is prob of sequence oods?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 17 - 58 = -m, -5*m = 4*q - 141. What is the remainder when 42 is divided by m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15495*-1.1\nAnswer: -17044.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 540, 541, 542, 543, 544, 545?\nAnswer: 546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3938 + -387. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6248 at least -6248?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20018 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m - 13. Let v be k(-14). Put -1, 0, v in ascending order.\nAnswer: -1, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + 20748?\nAnswer: 20745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4668\/11891 or -1?\nAnswer: 4668\/11891","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 625392 is divided by 156335?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h + 0*h - 3*h)*(0*h**2 + 2*h**2 - h**2) + (h - 4*h + 2*h)*(2*h - 2*h**2 - 2*h) - 1 + 2*h**3 + 1.\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32, -62, -102, -158, -236, -342?\nAnswer: -482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 117292055\/207 - 566649. Let d = -19\/388 - -7813\/80316. Let u = d + z. What is the common denominator of 8\/5 and u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(72) + 0)*-5*2*-4.\nAnswer: 480*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 33432 and 231?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12384 and 88416.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dqdpnpd. What is prob of picking 1 p and 1 d?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/37672465 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 223, 48, -401, -1124, -2121?\n\"Answer: -137*o**2 + 236*o + 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 1 = -5*k - 6, -6 = 4*k - q for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -225 - -227. What is the closest to 5 in 0.4, 0.1, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 38*l**3 + 2*l**2 + 14*l + 6. What are the prime factors of s(3)?\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-33)\/(-12) - 2\/(-8). Let t(u) = u + 3. Let b(v) = 4*v + 16. Give q*b(k) - 16*t(k).\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -108.7318 - -108.6. Round a to 2 decimal places.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -330659*b + 227025 wrt b.\nAnswer: -330659","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6\/25 + 187\/50. Let j = 4 - k. Suppose -h + 8 = 7. What is the third smallest value in h, 2, j?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of 2*h**3\/3 - 3*h + 23. Let x(l) be the first derivative of -29*l**2\/2 + 2. Calculate x(g(c)).\nAnswer: -116*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b - 342 + 21 + 181 - 270 - 505.\nAnswer: -b - 915","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 5*h - 10, -3*o + 5 - 1 = 2*h. Suppose o = -7*i - 9*i + 7744. List the prime factors of i.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -8*y + 8. Let h(u) be the second derivative of u**4\/12 - u**3\/6 + u**2\/2 - u + 29. What is 8*h(o) - k(o)?\nAnswer: 8*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -50542240 divided by 5\nAnswer: -10108448","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/758, 0.3, 35, -0.1, -1\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5.44 + 9.44. Let x = -8 - -7.7. What is the third smallest value in v, 0.2, x?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -2*t + 4. Suppose -3*l + 4*j = -60, -3*l - j - j + 60 = 0. Let b = l - 18. Suppose -c + b*y + 17 = 0, -6*c - 2*y + 25 = -c. Calculate w(c).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 314 - 192. Let u = -220 + k. Let a = 23 - u. Is a a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 44155502?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2.409 and 2.\nAnswer: -0.409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12678451.\nAnswer: 23, 59, 9343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -314.596*-0.024.\nAnswer: 7.550304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17820942 is divided by 1626.\nAnswer: 1608","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -10*l**3 - 4*l**2 - 2*l + 1. Let n be d(-2). Calculate the highest common factor of n and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of j**8\/80 - j**5\/60 - j**3\/6 + 4*j. Let u(o) be the second derivative of h(o). Find the second derivative of u(l) wrt l.\nAnswer: 252*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 - 65 = -4*h. Let z = h + -4. Calculate the greatest common factor of 30 and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2451?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 8 = 3*g, -5*v - 4 = -3*g - 4*v. Suppose g = -3*n + 17. What is the second derivative of 3*x**4 - 3*x**4 - x**n - 3*x + 2*x wrt x?\nAnswer: -20*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -10, -83, -278, -655, -1274, -2195, -3478, -5183?\n\"Answer: -10*h**3 - h**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 245 a factor of 13185410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-91)\/(-78))\/((-56)\/(-480)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 10*q - 25 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.1, -1, 1\/5, 52.\nAnswer: -4, -1, -0.1, 1\/5, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 228627988 * 2\nAnswer: 457255976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(170)\/sqrt(10) + sqrt(833)*6.\nAnswer: 45*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= -4020328?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/6, 3\/18629, 2.7?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2246?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do 2\/3 and 0.0346 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 20 or 15?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*g + 10 = -25*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 135140804?\nAnswer: 2, 89, 139, 2731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/((-4)\/12983) + 4\/(-8). Suppose -4*g + f = 3*k + 1348, -1721 = -k - 3*g. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4 and 1.315266817?\nAnswer: 2.684733183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1605629 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 23 = -4*y. Let j be 726\/9 - y\/(-12). Calculate the common denominator of (12\/8)\/((-6)\/j) and 97\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-24))\/p*p**(7\/3))**(-2\/47) assuming p is positive.\nAnswer: p**(130\/141)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*x = 22 + 100 + 73 for x.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12715 - 12780. Which is the nearest to k? (a) -0.3 (b) 1\/7 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(19) + (sqrt(19) + 1)*3)**2 - 3*sqrt(19)*1).\nAnswer: 21*sqrt(19) + 313","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -140291578, -140291573, -140291568, -140291563, -140291558?\n\"Answer: 5*p - 140291583","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(4\/3)\/g**0)\/(g*g*g\/(g*g**5*g*g)*((g\/((g\/((g*g**2)\/g)*g)\/g))\/g)\/g) assuming g is positive.\nAnswer: g**(19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -853, -1711, -2575, -3445, -4321, -5203, -6091?\nAnswer: -6985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + 2411?\nAnswer: 2412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9443 rounded to 1 decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*p**2 - 5*p**2 - 2*p**3 - p**2 - p**3 + p**2 + (5 - 1 - 3)*(2*p - 2*p - p**3) - 2*p**3 + p**3 - p**3 + (-2 - p**2 + 2)*(-2 + 2*p + 2) + p**3 + 1 - 1.\nAnswer: -7*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2128 and 633878.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5607530 is divided by 2803746.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 41 and 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -139, 43, 225, 407?\nAnswer: 589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -36.\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13191 - -13265. Calculate the remainder when f is divided by (-26)\/(-6)*1*3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -6*m**2 + 0 - 3\/2*m**3 + 18*m = 0.\nAnswer: -6, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*i**4 + 812*i**3 + i**2 + i + 1948.\nAnswer: -72*i + 4872","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 14*d + 1530 = 5*d. What is the remainder when d is divided by 25?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.94624735 rounded to 0 decimal places?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 9:25 AM?\nAnswer: 3:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 566895 (base 13) to base 7\nAnswer: 23234526","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 2*l - 13 = 6*l, -v + 2*l + 5 = 0. Let x = -2 + 2. Let r = 62\/3 - 20. What is the nearest to -0.1 in v, r, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-6)\/((8\/12)\/((-48)\/216)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/7 or -569751?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.5 + 1. Let v = -0.08 + 0.1. Let i = v - -2.98. Which is the closest to -3? (a) p (b) i (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 115*o = -117*o + 14, o = -3*p + 13 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2131.1 litres?\nAnswer: 2131100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8.7 or -23\/49?\nAnswer: -23\/49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of -35*a**2\/2 + a + 31. Give g(1).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -70238, -70235, -70222, -70193, -70142, -70063, -69950, -69797?\n\"Answer: g**3 - g**2 - g - 70237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 38 + -41. Which is the nearest to -1? (a) -0.3 (b) 4\/7 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -4467 (b) -1 (c) 15 (d) -3\/4 (e) 0 (f) -5.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnngngnnng. Give prob of sequence nng.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (48\/10 + -6)*(-15)\/9. Sort 147, 1, w in descending order.\nAnswer: 147, w, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100126?\nAnswer: 2, 13, 3851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4764.316l in millilitres?\nAnswer: 4764316","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bgbgbggegb. Give prob of sequence bgb.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -411 + 410. Let m = -101.3 + 101. What is the third biggest value in m, 0.5, k, 5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -12*o - 7*o - 7*o - 6 + 5*o. Does 10 divide t(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + 307 - 80. Let m = 1016 - d. List the prime factors of m.\nAnswer: 11, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 87 + -87. What is the second biggest value in d, -0.1, 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 12*a**3 - 4*a**2 + 5*a. Let v(z) = -11*z**3 + 3*z**2 - 4*z. Let g(x) = -5*n(x) - 6*v(x). Is g(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 + 10*n + 12. Let f be q(-12). Suppose 2*t + f = 40. Which is the closest to 1? (a) -1\/5 (b) t (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, -137, -2, -0.1, -0.2, 0.\nAnswer: -137, -29, -2, -0.2, -0.1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 18\/(-10)*(-70)\/21. Suppose 2*z = -2*p + 22, -z - 5*p - 85 = -t*z. What is the highest common factor of 14 and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*u = u - 48. Suppose b = 2*z + 32 + 8, u*b + 2*z = 200. Is 3 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 - -54967.\nAnswer: 54967.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/5 equal to 52?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12509 is divided by 9685?\nAnswer: 2824","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 - t**2 - 2. Let d be 0*3\/(-6) - -4. Suppose -z = -3*a - 14, -d*z - 2*a = a + 19. Let p(j) = j**2. Determine z*o(f) - 2*p(f).\nAnswer: -f**3 - f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 20 = -5*s, 4*h - 8 = 3*h - 2*s. Which is the second biggest value? (a) h (b) -6 (c) 3 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j + 12. Let u be y(-8). Let a(x) = 12*x**3 - 2*x + 1. Let d be a(1). Suppose -1 - d = -u*s. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 129 and 44204?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 1693215*x + 2 - 1693222*x - 2. Let a(f) be the first derivative of 3*f**2 - f + 1. Calculate -5*a(b) - 4*d(b).\nAnswer: -2*b + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 744?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 172778830 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 193.9 times -1.3\nAnswer: -252.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3335 + 4635?\nAnswer: 1300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8482513 days in minutes?\nAnswer: 1221.481872","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18 by -9.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -7*v**2 - 9*v + 2. Let n(r) = 6*r**2 + 13*r + 3. Let z(a) = 9*a**2 + 20*a + 5. Let h(d) = 8*n(d) - 5*z(d). Give 9*h(m) + 4*i(m).\nAnswer: -m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8366?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 0*z - 11 = 2*z, -5*z - 18 = 3*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 122 + 474. Let n = 159 + d. What is the greatest common divisor of 290 and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5103 + -4?\nAnswer: 5088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -285803 + -0.2?\nAnswer: -285803.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 16*j**2 + 20*j + 5. Determine q(-4).\nAnswer: 181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w + 3 - 3 + 5*w - 3*w - w + (-2*w + 1 - 1)*(0 + 0 + 2) - 102*w + 284*w + 530*w.\nAnswer: 708*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*y + 73*y + 3*f + 46 = 0, -5*f = 10. Solve y*b - 14*b = 20 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 161 = 3*j + 17. Let g = 1 - -50. Suppose -42 = -g*n + j*n. Is 10 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 73712889?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 0*f**2 + 1 - 2*f + 1 - f**2. Let w = -8 + 6. Let s(q) = -6*q**2 - 11*q + 11. What is w*s(m) + 11*p(m)?\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -12679917 at most as big as -12679920?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 33 = l, 59 = 2*g - 4*l + 11. Let c be (-125)\/(-45) - (-4)\/g. Solve -5*u - 14 = -4*q, -c*q = q - 4 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6155*j = -6166*j + 44 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 3 + 1)*(2249*x - 14 - 12 - 2250*x)*(-30*x + 27*x + 36*x) as u*x**2 + t + d*x and give u.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-1\/12)*z)\/z)\/((z*z**(1\/2)*z*z)\/z) assuming z is positive.\nAnswer: z**(-19\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1580, -1, -4, 15 in decreasing order.\nAnswer: 1580, 15, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -11*u - 9. Let v(c) = 10*c + 8. Determine -5*t(x) - 6*v(x).\nAnswer: -5*x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from hhttttttthtt.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -101869*h**3*s**3 + 2712*h**2*s**3 + 10*h**2 wrt h?\nAnswer: -611214*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93177183 is divided by 138.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(2) + 3*sqrt(72) - sqrt(18)*-1).\nAnswer: 3 + 22*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 25 = -5*p, -5*p - 2*d = -7 + 2. Let x = 22 - 10. Solve -9 = p*t, x = 5*w + t - 0*t for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*a**2 + 5541*a**4 - 5782*a**4 - 32*a + 2*a wrt a?\nAnswer: -5784*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + -3. Suppose 17*b - m - 50 = 12*b, m = -5. Calculate the greatest common factor of b and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1976 and 5339?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -84, -2, 1, 3 in decreasing order.\nAnswer: 3, 1, -2, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1469*h - 36243 - 6358 for h.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 2 + -3 + -4 - -15?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 + 11*y**2 + 15*y - 33. Calculate s(12).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 86, 774, 2068, 3968, 6474?\n\"Answer: 303*p**2 - 221*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-130)\/(-48) + 0 + 57\/(-152)?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 9\/2 (b) 2 (c) 3 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, o: 2, w: 2, k: 9, i: 3}. What is prob of picking 1 o and 1 m?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 34 - 9. Let q be 1 + t + -3 + 0. Solve -3*f = 5*b + 31, -q = 5*f + 5*b + 12 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000160247782 to six dps.\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -18 bigger than -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -100320031 + 2?\nAnswer: -100320023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 5*p = -4*w + 16, -16 = -4*w - 5*p. Let y(q) = -q**3 + 4*q**2 + 4*q + 5. Let f be y(5). Solve 4*d - 2*j + 20 = -f, -w*j + 19 = -d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 13*q + 7 + 4*q**2 + q**3 - 6*q + 2*q**2. Let l be x(-5). Is l + 102 - (-4)\/(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 24 = -3*i, 0 = 2*i - 5*i - 2*v + 24. What is the remainder when (-42)\/(-2) - (-2 - -2) is divided by i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1992.35378 rounded to the nearest integer?\nAnswer: -1992","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 24444 (base 9) to base 16\nAnswer: 4012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 2\/5, -13, 4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/312630 and 82\/13515.\nAnswer: 16569390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*n + 290 = 36*n - 832. Solve -23*k - n = -6*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2939957\/399602 - -2\/28543. What is the common denominator of v and -43\/8802?\nAnswer: 61614","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 - 52*s**2 + 36*s - 825. Calculate the remainder when 39746 is divided by m(-53).\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3154 + -3122 - (0 + 0 + 15)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.2 + -7.2. What is the nearest to -2 in 1\/3, p, 4\/5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 205 (base 12) to base 7.\nAnswer: 566","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-6)*0\/(2\/(-1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 at least as big as 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 4 - g**4 + 3*g**2 + 3 to m*g**3 + o*g**2 + i*g + d + w*g**4 and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27 - -30. Let m be (v - 69)\/(2 + -4). Let n = m - 34. Is n at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11778349.\nAnswer: 11, 53, 89, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3153)\/54652*1*8.\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/(-3900)*-320 + (520\/65 - (-10)\/(-1)).\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -144, -149, -156, -165, -176, -189?\n\"Answer: -m**2 - 2*m - 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x + 30 = -3*x. Let m be 3 - (4 + x\/(-2)). Suppose -m - 5 = -y. Is 2 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*f + 13*f - 11*f**3 - 16*f**3 + 38*f - 87*f + 5*f**3.\nAnswer: -22*f**3 + f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -2*v - 22. Let l be i(-13). Suppose 4*s = -3*a - 1340, -2*a - 512 - 380 = l*s. Let y = 958 + a. Round y to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 7:30 AM?\nAnswer: 2:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -22639? (a) -5 (b) -7 (c) 1\/4 (d) 6 (e) 0.4 (f) -81\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -66*y**2 - 91*y**2 - 62*y**2 + 189*y**2. Let l(x) = -2*x**2 + 72. What is w(l(g))?\nAnswer: -120*g**4 + 8640*g**2 - 155520","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 799488 a multiple of 768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9*f + 13*f + 18*f)*(-6 + 60*f - 12*f + 6 + 4) to w*f**2 + y + x*f and give x.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of 62 - 2*h + 9\/2*h**2. Calculate v(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 27 - 8 = -4*d, -3*u + 8 = d. Suppose -3*k - 21 + 170 = -i, u*k = 5*i + 133. Calculate the remainder when k is divided by 28.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/7 of a week in days?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 2*d - 11, 7 + 4 = -z - 4*d. Let m be -2*z\/42*-2. Sort m, 1\/4, -0.2 in ascending order.\nAnswer: m, -0.2, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/7*j**3 - 4\/7*j**2 + 0 - 16\/7*j.\nAnswer: 2*j*(j - 4)*(j + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 13, w: 3, x: 1}. Give prob of picking 2 l.\nAnswer: 39\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -3*j. Suppose 0 = 5*c - j*c - 240. Does 16 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1318216007 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22 + -22. Solve q = 3*k + 2*k + 25 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*-23\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 503, 1015, 1563, 2147, 2767?\nAnswer: 3423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 5*r**3 + 2285*r**2 - 21020*r - 23300 = 0.\nAnswer: -466, -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-10)\/(-4))\/(-10*29\/(-2097860))?\nAnswer: 5, 3617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -97 divided by 909221.\nAnswer: -97\/909221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2*b. Let z(p) be the third derivative of -11*p**4\/24 + p**3\/3 - 21*p**2. Calculate k(z(q)).\nAnswer: -22*q + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-36))\/(5 - 42\/8).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1\/9799 + -2596731\/39196. Let f = x + 66. Let d = 1 - -4. What is the nearest to f in 0, -1\/3, d?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -881760, -1763520, -2645282, -3527046, -4408812?\nAnswer: -5290580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 30\/(-2) + 3\/1. What are the prime factors of y\/(-2) - 9\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 3*a**2 + 12*a - 3. Suppose -3*b + 85 = 2*b. Calculate the remainder when p(-6) is divided by b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(324)\/(sqrt(12) + (sqrt(72)\/sqrt(6) + sqrt(12) - sqrt(12))))\/(sqrt(9) + sqrt(9) + sqrt(9) + sqrt(108)\/(sqrt(60)\/sqrt(5))).\nAnswer: 3*sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7886 - 2758. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, 7, 4 in decreasing order.\nAnswer: 7, 5, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + p + 10 = -0, 5*p + 10 = -3*j. Let y be (4 + 117\/(-27))\/((-3)\/54). Suppose -r - y = -5*z, 5 = -3*r - 5*z + 27. Which is smaller: r or j?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.09 + -5.09. Which is the closest to -2\/7? (a) u (b) -0.03 (c) 0.26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1071*q**2 - 8 + 10 - 2 - 1029*q**2 to u*q + w*q**2 + d and give w.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2*o**3 - 39*o**2 + 284*o - 5057. What is u(19)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 3*g = 0. Suppose -67*s + 69*s = 3*w - 25, -4*s = -28. Solve -2*q - w + 5 = g for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -36 + 40. Let z(s) be the third derivative of -1\/30*s**5 - 1\/6*s**3 + 0*s + 0 - 5\/48*s**f - 1\/240*s**6 - 2*s**2. Solve z(g) = 0 for g.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -13 - -3*(-4)\/6. Let m = 32 + x. Let i be -5*1\/((-5)\/34). What is the greatest common factor of m and i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 1340.\nAnswer: 5360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1381?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (72 + -79 - (-60 + -2 + 4)) + -2?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 674, 5726, 19454, 46196, 90290?\nAnswer: 156074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (16\/(-20))\/((-6)\/330). Let r(q) = 2*q**2 - 74 - 79 + b*q + 153. Let o(i) = -2*i. Calculate o(r(h)).\nAnswer: -4*h**2 - 88*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 9*y**3 + 6*y**2 + y - 19. Let d(i) = 4*i**3 + 3*i**2 - 9. Let f(u) = -5*d(u) + 2*h(u). Is f(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, 21, -32 in increasing order.\nAnswer: -32, 21, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 439\/1560900?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -4*z + 12, 3*z - 2 - 7 = 2*t. Suppose -3*u + 5 = 19*g - 18*g, 4*u = 2*g. Factor g*p**2 + t*p**3 + 1 + 8\/3*p - 1\/3*p**4.\nAnswer: -(p - 3)*(p + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 189 - 186. Let t be j\/(-35) + (30\/7 - 4). Find z such that -2\/5*z + 0 - t*z**4 + 2\/5*z**3 + 1\/5*z**2 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.643 - 558\nAnswer: -557.357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/r**(3\/13)*(r*r**(-1\/19))\/r assuming r is positive.\nAnswer: r**(177\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -6*c**2 - 40*c + 131. Calculate l(-8).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of 969*o**4\/4 + 11*o**3\/3 + 590. Find the third derivative of y(q) wrt q.\nAnswer: 5814","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3206?\nAnswer: 2, 7, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46924?\nAnswer: 2, 11731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/9)\/((g**(-6\/5)\/g)\/g))\/(g*g\/g**(1\/4))**(1\/16) assuming g is positive.\nAnswer: g**(9541\/2880)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange d**3 - 12*d**4 + 13*d**4 + 4924 - 6275 + 2962 to u*d + l + s*d**3 + h*d**2 + f*d**4 and give l.\nAnswer: 1611","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1547\/3 (b) -4\/9 (c) -3 (d) 2\/5 (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**5\/3 + 208*z**4\/3 + 3256*z**3\/3 + 4784*z**2 + 6348*z.\nAnswer: 4*z*(z + 3)**2*(z + 23)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + -865*2\/170.\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, z: 1, a: 1, v: 4, p: 2}. What is prob of sequence sapv?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -8 (b) 21 (c) 0.6 (d) 1\/3 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-3)\/(45\/12))\/(2\/(-10)). Solve 12 = -t*f + f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-6*(sqrt(847) + -2 + 4) + -4)**2.\nAnswer: -61496 - 4224*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of -m**4\/6 - 4*m**3\/3 + 3*m**2\/2 - 2*m. Suppose -3*l - 5*p = -2, l + 3*p = 7 - 1. Give b(l).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1102, 1100, 1088, 1060, 1010, 932?\nAnswer: 820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1601030?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -c. Let r = -85 + 89. Sort 3, c, r in descending order.\nAnswer: r, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*b + 60 = 89*b for b.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -44*m**3 - 4*m + 4. Let u(n) = 132*n**3 + 11*n - 11. Give 11*r(j) + 4*u(j).\nAnswer: 44*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 721866, 1443731, 2165596, 2887461, 3609326, 4331191?\nAnswer: 5053056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -34*x + 475. Determine p(14).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x - 13. Let j(h) = -h - 13. Determine -4*j(p) + 5*t(p).\nAnswer: -p - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s**2 + s**2 - s**3 + (-22*s**2 - 331*s + 331*s)*(2*s + s - s) - 12*s**2 + 25*s**3 + 12*s**2 + 5*s**3 - 4*s**2 + 2*s**2 - 4*s**3.\nAnswer: -19*s**3 - 2*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -16*w + 126. What is p(8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 4*z - 4, -4*z - 4 = -4*i - 0*i. Suppose -i*h = h - 335. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5355 - -5407. Calculate the remainder when 1088 is divided by m.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 93 - 94. Let n(h) = -h**3. Let y(l) = -2. Give d*y(i) + n(i).\nAnswer: -i**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 3*p = p - 37, -5*h + 60 = -3*p. Let j(o) = -o**2 + 10*o + 8. List the prime factors of j(h).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of 0*u**2 + 2 - 5\/2*u**4 + 6*u + 0*u**3. Differentiate x(i) wrt i.\nAnswer: -30*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -36 - -20. Let y = -2\/91 + 4283\/273. Find the common denominator of 2\/x*-6*-46 and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 232324 = -5*s + 10*s + 3*h, -5*h = -3*s + 139374. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0559 - 1622?\nAnswer: -1621.9441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 1 = 0, -97*k + 211942 = 3*g - 99*k. Does 20 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 + 9*f**2 + 2. Let n = -44 - 2. Let c be 851\/n - 3\/(-2). Let z = c + 26. What is g(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 88915, 692223, 2329775, 5518693, 10776099, 18619115, 29564863?\n\"Answer: 86187*w**3 - w + 2729","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -21 (c) -1\/5 (d) 1\/10 (e) 3\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20187*a**2*q*s*v + 3*a**2*q + 2*a*q*s*v - 5*a*s - q*s*v - 4*q*v - s*v - 2*s wrt a.\nAnswer: 40374*q*s*v + 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -8, -y + 6*y - 2117568 = -a. Suppose -3*s + a + 4692412 = 0. Round s to the nearest 100000.\nAnswer: 2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*v**3\/3 + 1841*v**2\/3 + 33830*v\/3 + 1400.\nAnswer: (v + 20)*(v + 210)*(8*v + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-152)\/26*143\/(-264).\nAnswer: 19\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.02 + -2.92. Is p != 0.426?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 478.3076 millimeters in nanometers?\nAnswer: 478307600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 282, 564, 848, 1134?\n\"Answer: w**2 + 279*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = 5*h - 10. Suppose -i - 4 = -2*i - 4*s, 3*i - 3*s = 12. Solve h = i*j + 18 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 43371?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11303\/570 - -32\/95. Let r = -159 - -355\/2. Let m = r - s. What is the smallest value in 4, m, -2\/7?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1213603957?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -22376a132 - -5?\nAnswer: -22376a128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 + x + 1. Let b(r) = -9*r**2 - 32*r + 3. Let f(y) = b(y) - 3*p(y). What is the second derivative of f(i) wrt i?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 299 = -z, -3*z + 568 = -5*z - 4*a. Find the common denominator of -55\/422 and z\/(-140) + 32\/28.\nAnswer: 2110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 2*n = -5*d + 5, -d + 5*n + 25 = 0. Suppose d*v + 8 = v. What is the greatest common factor of v and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -4) + -1 + (-1 - 1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3855)\/(-39) - (-4)\/26. Suppose 4*m = m + r. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 4*u - 1308 + 142, 5*u - 2341 = -4*z. List the prime factors of z.\nAnswer: 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/3376 and 13\/15192.\nAnswer: 30384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/1 + (2 - -1). Let c be (d\/(-12))\/(8\/36). What is the closest to -1\/3 in c, -0.5, 4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3409.235556 less than 0?\nAnswer: -3409.235556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(200) + -5 + -5)*-2)**2.\nAnswer: -480*sqrt(2) + 944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 24971 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 9\/3*2\/(36\/3)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/6 and (-332)\/280*10\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, -121, -381, -823, -1483, -2397, -3601?\nAnswer: -5131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 565 - -355.23.\nAnswer: 920.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 47 - 45. What is the third derivative of -3*d**4 + 5*d + p*d**2 - 5*d wrt d?\nAnswer: -72*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-92)\/(91264\/(-5580))*((-6)\/(-5))\/3?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-1\/6)\/h)\/(h**(-34)*h)*(h\/((h\/((h\/h**(-4\/11)*h)\/h*h))\/h))\/(((h*h\/h**(-6)*h)\/h)\/h) assuming h is positive.\nAnswer: h**(1927\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 243809 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2*g**3 + 12*g**2 + 13*g - 11. Let t be a(8). Let z = 57 - t. What is the hundreds digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 108 and 189.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 + 5 - 3)*(4 + 2*v - 4) - 14 - 4*v + 14)*(-17 + 74 - 163) to the form y + w*v and give w.\nAnswer: 212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -714.25584 to the nearest integer.\nAnswer: -714","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l**3 + 2210130*l**2 - 17681405*l - 19891530 = 0. What is l?\nAnswer: -442034, -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 70\/6*((-24)\/(-10))\/2. Is ((-4634)\/(-21))\/(d\/63) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001101101000001 + 101?\nAnswer: 1001101101000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(102)\/sqrt(2)*2)\/((sqrt(18) + sqrt(450) + sqrt(18))\/sqrt(6) + sqrt(192)\/sqrt(4)).\nAnswer: 2*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 332787.3 microseconds in seconds?\nAnswer: 0.3327873","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4958 - 4955. Which is the closest to -0.01? (a) 1 (b) l (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence va when two letters picked without replacement from vlaylylyaaalaalavy.\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, 2\/5, 1.\nAnswer: 2\/5, 1, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (-145)\/(-70))*-4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -16*t + 1 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 12:50 PM?\nAnswer: 10:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 350 = -2*x, 8*j - 2*x + 110 = 9*j. Let r = j - 118. Sort -0.2, r, -3, -1\/2 in decreasing order.\nAnswer: r, -0.2, -1\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 390427323 and 1794?\nAnswer: 897","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 52819\/3034 + -52991291\/2324044. Let r = s + -17108912\/1915. Let q = r - -8934. What is the common denominator of -85\/14 and q?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + (-5 + 1 - (4 - 13)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 - 31*z**2 + 61*z - 136. Let g = 49 + 33. Calculate the remainder when g is divided by i(-33).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 428800 a multiple of 160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -21, 1\/18, 0.4, -2, -0.9, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 + 30*i**2 + 32*i + 82. Let v be d(-29). Let p(z) = -10*z - 44. Let f be p(v). Which is the third biggest value? (a) 4 (b) f (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 729 divide 78542697?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1021819?\nAnswer: 17, 60107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 171 <= 162?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rwtabvvbwtvb. What is prob of sequence tt?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -294764 - -294763.6. Let j(c) = -2*c**2 + 2*c + 2. Let b be j(-2). Sort -5, 2\/11, k, b in descending order.\nAnswer: 2\/11, k, -5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(2\/7)*(b*b\/b**(2\/15))\/b)**(-15\/2))**24)**10 assuming b is positive.\nAnswer: b**(-14520\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -10, 4*k = -4*i - 29360 - 32928. Let q = i + -5323. Round q to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*m - z = 98, -5*m - 2*z - 4122 = -4163 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -886*24\/(3 + -7). Suppose 4*i - 1080 = -v, 5*v = 34*i - 33*i + f. Is v a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 4 = 2*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 - 172*u**2 + 5965*u - 47394. What is c(15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -403624, -403626, -403628?\n\"Answer: -2*k - 403622","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 2*t**2 + t - 4. Suppose 5*d - q + 222 = 0, -2*d + 5*q - 94 = 2*q. Let s = d - -38. Is 13 a factor of c(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42)\/(sqrt(6) + (sqrt(72) - (sqrt(72) - (sqrt(72) + sqrt(72)*-1 + sqrt(72) + sqrt(72))))\/sqrt(12)))**2.\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of -25*v**6\/6 - 27*v**2\/2 + 23. Find the second derivative of c(a) wrt a.\nAnswer: -500*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 814*t**3 - 5*t**2 - 4*t. Let z = 4 - 0. Let m be l(z). Round m to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5775491*s**3 - 3*s**2 - 9*s - 10840.\nAnswer: 34652946","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -g**4 + 6241*g**2*k + 18*g**2*x - 42*g*k*x + 2*g*k - g*x - 8*k*x - 6*x wrt g.\nAnswer: -12*g**2 + 12482*k + 36*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 6*c**2 + 9*c - 3. Let t be y(-4). Suppose h + 15 + 24 = 0. Let i = h + t. Does 9 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26413, -36754, -47095, -57436?\nAnswer: -67777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 202600178 divided by -4?\nAnswer: -101300089\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -53 + 33 + (-7 - -26)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 4*v**2 - 3*v - 2. Let d be w(3). Let s be ((-12)\/d)\/((-18)\/60). Let i(k) = k**2 + 3*k - 7. Let n be i(-5). Which is smaller: s or n?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*f - 8, 5*v = -2*f + 88933. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0012167862486 to four decimal places.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96*o - 109*o + 26 = 0. Suppose o*q = 4, 0*q - 2*q = i - 1650. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1116161.\nAnswer: 409, 2729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20816?\nAnswer: 2, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a - 3*a - 4*a)*(23*a - 6*a**4 - 19*a - 21*a).\nAnswer: 24*a**5 + 68*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 24 = -0*h. Let w be (9\/6)\/(3\/h). Suppose w*p + 5 = 29. Calculate the greatest common factor of p and 48.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*5.94098.\nAnswer: -17.82294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*c - 7*c + 686 = 2*c for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 21 = -3*a, 7*y - 46 = -36104*a + 36108*a for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - (-104)\/(-11076)*(-9396)\/8.\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (((-26)\/(-13))\/(-2))\/((-19)\/(-1843))\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -327 + 327. Solve 0*f + 2*f - 4*r = -2, r = j for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*z - 102. Let s be (-66)\/2*z\/21. Suppose -3*q = 4*f - s, 0 = -f + 2*q + 11. Is 13 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5f - -1a?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 - 13*z**2 - 41*z - 2. Give d(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 4*d - 2876 + 11368 = 0, -4*v - 8507 = d. Let t = -1207 - v. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -210\/13 or -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2718 (base 10) in base 7?\nAnswer: -10632","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -9 - 3*w + 18 - 13. Suppose -s + 2*a = -3, 0 = 4*s - 2*s - 2*a. Is v(s) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*c - 1766 = -10694. Calculate the greatest common factor of c and 64.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1716 and 1287.\nAnswer: 5148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -138*j**2 + 1986 - 354 + 90*j**2 + 549*j**2 + 991 with respect to j.\nAnswer: 1002*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -4*s + 62. Suppose -3*u - l - 3 = 0, -2*u - s = 3*u - 3*l. Let i be (-3)\/((0 + u)\/2). Sort i, 0, 4.\nAnswer: 0, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3 + 2)\/((-11)\/(-2145)). Let p be 1 + (-1 + d)\/4. Let l = 239\/5 + p. Which is the biggest value? (a) 0.2 (b) l (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 444*m**2*p + 129*m**2*r - m**2 - m*p**2*r - 9*m*p - 962*m*r + 13*p**2 - 68 wrt r?\nAnswer: 129*m**2 - m*p**2 - 962*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 50745620?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13324 + -13324.0014039. What is h rounded to five dps?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.07 - -5.93. Let i = z + -6.5. Which is the third biggest value? (a) i (b) -2 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 5*o = 30, 4 = 3*m + 2*o - 26. What is the least common multiple of m and 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 813?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -10*y**5 - 1508*y**4 + 2296752*y**3\/5 - 2747916*y**2\/5 + 823554*y\/5 = 0.\nAnswer: -303, 0, 3\/5, 151","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 44*r**3 + 362413204*r**2 + 746268873497888*r - 203527901546688 = 0.\nAnswer: -4118332, 3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 356040 and 160218.\nAnswer: 3204360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -6*c**2 + 7*c - 3. Let u(f) = -19*f**2 + 22*f - 8. Let r(i) = -7*s(i) + 2*u(i). Let x be r(1). Solve 4*t = -x*q - 8, q + 0*t + 2 = -2*t for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of -5*g**2\/2 - 2*g - 3. Give d(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99*z + 93*z = 24. Sort z, 2, 3, -17 in decreasing order.\nAnswer: 3, 2, z, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21870 and 1134.\nAnswer: 153090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1572, -3192, -4812, -6432, -8052?\n\"Answer: -1620*c + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -2, 0.2, 4, 2 in increasing order.\nAnswer: -2, 0.1, 0.2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -10077 (base 9) to base 4\nAnswer: -1213213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-4370)\/361 - 2\/(-19)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88 = -643*n + 621*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 PM and 1:48 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y = -6*y + 150. Let k = 0.12183 + -5.12183. Which is the biggest value? (a) k (b) 1 (c) y (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -51*y**2 + 441*y - 193. Calculate v(8).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 192672 and 409428?\nAnswer: 3275424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 38.6 - 39. Put w, 0.4, -0.06 in increasing order.\nAnswer: w, -0.06, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -105*f**3 + 13*f**2 - 22*f - 52. Calculate x(-3).\nAnswer: 2966","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1694\/(-8470))\/(3\/((-45)\/2)))\/3*-72?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/2, 0.46, 0.3, -2\/11, -0.3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7*r - 7*r**4 - 28 + 3*r + 3*r**3 - 3*r**3 wrt r?\nAnswer: -28*r**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3545*6\/90 - (-6)\/9. Let w = v - 209. Calculate the greatest common divisor of 14 and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13988, -26989, -39990, -52991, -65992?\nAnswer: -78993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**5 - 36*y**4 + 33*y**3.\nAnswer: 3*y**3*(y - 11)*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/((6\/1)\/(-3)). Suppose -2*u = -t*u - 172. What is the common denominator of (u\/4)\/((-77)\/14) and -37\/5?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -539421270 rounded to the nearest one hundred thousand?\nAnswer: -539400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3672194?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 99*t**2 + 97*t**2 - 84*t - 287*t**2 + 90*t**2 in the form x + b*t**2 + z*t and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -10\/329, -2 in decreasing order.\nAnswer: 4, -10\/329, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.642477 decades in millennia?\nAnswer: 0.01642477","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2212012 - 12?\nAnswer: -2212101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 209 divide 4274407?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together -472812 and 687759.2.\nAnswer: 214947.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 857898?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 725972, 0, -4\/5, 4, -4?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -187*z**2 - 153*z**2 + 377*z**2.\nAnswer: 37*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2. Let m(s) = -47*s**2 + 2*s - 13195. What is m(f(j))?\nAnswer: -47*j**4 - 2*j**2 - 13195","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 74753 (base 9) in base 6?\nAnswer: 1020550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*f**2 - 28*f**2 + 12*f**2 - 9*f**2 as j*f + g*f**2 + a and give g.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-22)\/(-12))\/(1\/6). Is 41\/4 at least as big as i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -5*sqrt(1300))**2.\nAnswer: 300*sqrt(13) + 32509","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -14*(-2)\/(-2)*-1. Sort -5, o, -4, 1 in descending order.\nAnswer: o, 1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = s - 21 + 32, 0 = -g + 3*s + 5. Let r(m) be the first derivative of 3*m - 16 + 0*m**g - 1\/3*m**3. What is r(4)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 161117 and 14647.\nAnswer: 161117","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 38 = 5*j + 11, 2*j + p - 9 = 0. Suppose -4*u + 7 = j*o - 0*o, -2*o + 5*u - 3 = 0. What is the nearest to -0.1 in -0.2, o, 2\/9?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - 8) + -1 + 1 + -4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -0.096535\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 - -23.8472.\nAnswer: 23.6472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, d: 1, n: 1, r: 1, j: 1}. Give prob of picking 1 r and 1 j.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4701, -4509, -4317, -4125, -3933, -3741?\nAnswer: -3549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1974661 is divided by 1974653?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + ((-6*sqrt(85)*1 + sqrt(85))\/(sqrt(480)\/sqrt(6)))**2*4)*6*-3*-5.\nAnswer: 18765\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 25 + 7. Let b = -22 + u. Calculate the remainder when 17 is divided by b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -130*j**2 - 380691*j + 52935442.\nAnswer: -260*j - 380691","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (22*r + 19*r + 9*r + (-6*r - 17*r + 8*r)*(-4 + 1 + 5)*(4 - 4 - 1))*(5 - 4 + 0) to v + k*r and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -10*f**3 - 2*f**2 + 2*f. Let o(r) = 9*r**3 + 3*r**2 - 3*r. Give 2*o(y) + 3*p(y).\nAnswer: -12*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -163 = 5*l - 13. Let v = -12 - l. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73849.\nAnswer: 73849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1.1 and 155.82?\nAnswer: 154.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 23 and 4.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from vavavvav.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14009536209867\/1415 + -9900731610. Let z = v - 3469\/5. Let n = z - -893\/6226. Calculate the common denominator of n and 37\/16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + 148114b?\nAnswer: 1481150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(2*(1 + sqrt(567) + 4) + 2 + 2*-2*sqrt(567)))**2.\nAnswer: -10800*sqrt(7) + 60300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37 - (-46 + 13 + 4).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10225 and 8295975.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2132044 (base 6) to base 14\nAnswer: -2a5d2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 12 = -4*m, 11*u - 6*u - 4*m = 28 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, -1787798, -5 in decreasing order.\nAnswer: 5, -3, -5, -1787798","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/3 + (-98)\/(-21). Let q be k + 0\/(0 + -1). Sort -1, q, -3 in increasing order.\nAnswer: -3, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.030998 to 3 decimal places.\nAnswer: -0.031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -646 + -12?\nAnswer: -661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 2:31 AM?\nAnswer: 3:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 778 is divided by 103.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -126, 93332, -5 in decreasing order.\nAnswer: 93332, 1, -5, -126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 6) to base 8\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4059796 and 5252?\nAnswer: 4059796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 + 2*i**2 + 556*i + 2132. What is b(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4186 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -77.15421 to one decimal place.\nAnswer: -77.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 138 a factor of 1104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2 - 7*j + 1411. What is k(-40)?\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -72*l*x**2 + 4*l*x - x**5 + 199 wrt x.\nAnswer: -144*l - 20*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 78225?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (21 - -43 - 13).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -6*c**2 - 327. Let y(x) = -4*x**2 - 245. What is -8*t(i) + 11*y(i)?\nAnswer: 4*i**2 - 79","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5056?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -4+-50538864276\nAnswer: -50538864280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -9*n**2 + 233*n + 32. Calculate d(25).\nAnswer: 232","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/4)\/(36\/144).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 277?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/(d**30*d))*d**(3\/20))\/(d**20*d\/d**(-2\/15)))**(-39\/5) assuming d is positive.\nAnswer: d**(-7813\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 178486 times -0.2?\nAnswer: -35697.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l and 1 a when four letters picked without replacement from llsal.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11967?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 100*b - 12*b + 136*b + 46*b - 277 wrt b?\nAnswer: 270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 133 divide 53411?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange w - 4*w**3 + 494 - 532 - 3*w to h + v*w**2 + q*w**3 + t*w and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 - 8*x + 7. Let s be w(-7). Let p(t) = -s*t + 2*t + t. What is the least common multiple of 6 and p(-1)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9637 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 176951 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-63)*144\/(-32)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -82 - -85. Suppose 3*b + 17907 = s*p - 0*b, -4 = -2*b. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(85)*1 + sqrt(85))*1)\/(sqrt(55)\/(-2*sqrt(11))).\nAnswer: -4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-132)\/1365 + 34\/221)*20.\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 693 and 819.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -9782 divided by -67\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16224812, 32449621, 48674430?\nAnswer: 64899239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -34 - -35. Which is the closest to f? (a) 4\/9 (b) 2 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12.0169 - -0.1931. Let o = 12.43 + w. Let t = -24 + o. Round t to one dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 13\/5 of a kilogram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*a**2*r**2 - 8*a**2*r - a**2 - 460*a*r**2 + 11*a - 3*r**2 - r wrt r?\nAnswer: 8*a**2 - 920*a - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 112, 109, 102, 91?\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20951408?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 10 = 2*u, -5*i + 8 + 18 = 2*u. Suppose 2*c = -k + 117396, -141773 = -5*k + u*c + 445233. Round k to the nearest 10000.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-3))\/((-7)\/126)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t. Let u(q) = -7*q**2. Let g = 3 + 1. Let m(v) = -4 + 13*v**2 + g. Let z(p) = 6*m(p) + 11*u(p). Give x(z(k)).\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b**2\/3 - 67160*b + 1410654 = 0. Calculate b.\nAnswer: -100761, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1080113 - 1080113 - 508*j.\nAnswer: -508*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2*q**3 - 9*q**2 + 17*q - 8. Let w(j) = -j**3 - 5*j**2 + 9*j - 4. Let v(x) = -6*a(x) + 11*w(x). Let g(r) = -1. Calculate 4*g(o) + v(o).\nAnswer: o**3 - o**2 - 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-14*s + 9*s - 27*s)*(109*s**2 - 46*s**3 - 53*s**2 - 56*s**2) to p*s**2 + u*s + g + k*s**4 + y*s**3 and give k.\nAnswer: 1472","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(13))*5 + sqrt(13) + -4)**2*1.\nAnswer: -108*sqrt(13) + 549","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n - 24 = 46. Let q be 25\/n*(-18)\/(-60). Which is the second smallest value? (a) 0.2 (b) 1 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9702398 centuries to millennia.\nAnswer: 0.09702398","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -g + 9, 0 = -3*y - 2*y - 3*g + 23. Let z be (7386\/18 - -2) + y\/6. Suppose -10*o = -z - 137. List the prime factors of o.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i + 2*i - 6*i - 2*i.\nAnswer: -6*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*z**2 - 2*z**2 - 14*z**2.\nAnswer: -19*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence itj when three letters picked without replacement from uwttjiwk?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 22*w**4 + 21028*w**3 - 88304*w**2 + 15360*w = 0. What is w?\nAnswer: -960, 0, 2\/11, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 + 32*m + 50. What is the hundreds digit of g(24)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + -30 + (-3638)\/(-204)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -241 - -247. Let f = 192 - 191.6. Which is the smallest value? (a) f (b) -3 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2 - 33898*w + 1318980.\nAnswer: 2*(w - 16910)*(w - 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.29 + -548430.98611.\nAnswer: -548431.27611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 v when three letters picked without replacement from mmvmvgigvmmgggg.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/((-4)\/(-86650)) - (-4)\/8. Let l = 30732 + w. Suppose -u - u = -l. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (46*m**3 + 249*m**3 - 92*m**3)*(-4*m + 3*m + 3*m)*(-1 + 1 + 2).\nAnswer: 812*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15965 - 16051. Is -427\/5 equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 74 + -516\/7. Suppose 3*k = -5*l + 89, l + k = 3*k + 23. Let w = -15 + l. Is w <= h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 35364 and 4284.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -317 + 149 + -21 + 68?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (8\/(-3)*-1)\/(2\/3). Suppose -2*g = -c - 150, 0 = 4*g - 0*c - k*c - 296. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/407 and 59\/8985450.\nAnswer: 98839950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 130*w + 1819. What is d(-14)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (24\/48 - 0)\/(((-15)\/(-102))\/5)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 8) to base 6\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2785*w**2 + 2785*w**2 + 10*w - 8*w + 131*w**3.\nAnswer: 131*w**3 + 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 + 6*a - 13. Let p be f(-11). Let z = 59 - p. Let w = 53 - z. What is the highest common factor of 4 and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14016 is divided by 31.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 544\/(-476) + 2541715\/7 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 + 218 - 3*m**2 - 214 - 2*m - 3*m**2. Give x(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -12\/7 and 137\/11770.\nAnswer: 82390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i**(-2\/9))*i*i**(-6\/11))\/(i\/i**(-5\/7)*i**7) assuming i is positive.\nAnswer: i**(-5570\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12*-2482415.\nAnswer: 29788980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 - ((-27)\/12 - -3). Let i(t) be the first derivative of 0*t**2 - 2 + 0*t + j*t**4 - 2\/3*t**3. Find the third derivative of i(h) wrt h.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5038966747 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rhis when four letters picked without replacement from {t: 1, h: 1, r: 7, m: 1, i: 2, s: 2}.\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 + 100*r**2 - 638*r - 4. What is k(6)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 4 - 1. Let w be (-5)\/(-2) + f\/(-10). Solve -4*k = w + 5 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1237.815 to the nearest one hundred.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 82232 and 5776?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of -7*u**3\/3 - 6. Suppose -d + 0*d = 1. Determine s(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o = 3323 + 1605. Let f = 709 - o. Calculate the greatest common divisor of f and 135.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1875\/(-1050))\/((-11)\/((-2772)\/240)).\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 9, 43, 79, 117?\n\"Answer: o**2 + 31*o - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**3 + 28 - 28)*(-2 - 2 + 1).\nAnswer: 6*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + -4. Suppose -2*q = -3*q - 4. Let h = q + 4. Put -5, i, h in decreasing order.\nAnswer: h, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**0*y**6)\/((y*y\/y**(-3)*y*y)\/((y**(1\/2)\/y)\/y)))**(2\/49))**(-2\/23) assuming y is positive.\nAnswer: y**(10\/1127)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -5*u**2 + 5*u + 2. Let p(s) = 11*s**2 - 10*s - 4. Let k(l) = -2*p(l) - 5*t(l). What is k(4)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 2.4\nAnswer: -0.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12199 is divided by 261?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -23200 (base 5) in base 16?\nAnswer: -68b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 1 + 0 + 1)*(4*b - 2*b + 0*b)*(-96 - 95 - 38).\nAnswer: -3206*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50087241?\nAnswer: 3, 618361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 90030*d**2*k**2 - 5*d*k**2 - 3*k**2 + 681699*k wrt d.\nAnswer: 180060*d*k**2 - 5*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*v = -23*v + 56 - 168 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, 0, -16, -5, -19, 262, 3 in descending order.\nAnswer: 262, 22, 3, 0, -5, -16, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 23175 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 (-468*o**2 + 522*o**2 - o + o)*(o - 2*o + 3*o) - 22*o**3 - 135*o**3 + 76*o**3.\nAnswer: 27*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2051196705 to 1 decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 810 is divided by 35834\/190 - 6\/(-15)?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.009 - -0.009. Let y be (-2)\/(-4) - (-7)\/(-6). Put 5, q, y in decreasing order.\nAnswer: 5, y, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10237 - 147\/105*(1 - -4). Which is smaller: 10231 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -0.29, -0.15911, -1\/7?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**3 - 3*q**3 - 2*q**3)*(0*q + q + q) + 3*q**2 + q**4 - 3*q**2.\nAnswer: -11*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 3*z - 4 = 0. Let y = 20 - 37. Let i = z - y. Is i a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(2\/3))\/(j**(1\/7)\/j)*j**(-16)*j*j*(j**(-2\/7)*j)\/j*j assuming j is positive.\nAnswer: j**(-254\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -25*y + 13. Is j(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 20 = 3*y, -5*c + 3*y + 327 - 295 = 0. Solve k + c*q - 3 = -13, 4*k + 5*q + 18 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21143429 is divided by 919.\nAnswer: 915","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01402 rounded to 3 decimal places?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of 3*p**5\/40 - p**4 + 7*p**3\/4 + p + 14. Find x, given that f(x) = 0.\nAnswer: 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 + 8.3. Let u be (-56 + 482\/10 + 1\/(-5))\/(-8). Which is the second biggest value? (a) 4 (b) u (c) s (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -112.76 and 1.0334.\nAnswer: -116.526184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -56*y**3 - 14*y**2 + 12. Let t(m) = 28*m**3 + 6*m**2 - 5. Let w(l) = 2*s(l) + 5*t(l). Let h be (-16)\/12 + (-1)\/(-3). What is w(h)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 251384483 to the nearest integer?\nAnswer: 631","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of 67*s**4\/12 + 14*s**3\/3 - 176*s**2. What is the units digit of r(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3441 or 24077\/7?\nAnswer: 3441","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -6*o + 385. Let m be r(60). Solve m = 5*n - 4*d - d, 0 = -4*d - 16 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4016595 * 1.\nAnswer: -4016595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -6*t**4 - 17*t**3 - 9*t**2 + 21*t + 8. Let c(s) = -12*s**4 - 35*s**3 - 17*s**2 + 43*s + 16. Let g(z) = -3*c(z) + 5*p(z). Factor g(r).\nAnswer: 2*(r - 1)*(r + 2)**2*(3*r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 25.4017592 and 3231.\nAnswer: 3256.4017592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + 3*b - 2*b - 10, -b - 17 = -5*c. Solve c*z = 9, 0 = 5*h - h + z + 9 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 671 is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ne when two letters picked without replacement from {e: 1, n: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/((u\/(u**2*u)*u)\/u)*u)\/u)\/u**11*u**(-3)*u*(u\/((u**(-5)*u)\/u)*u)\/u assuming u is positive.\nAnswer: u**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.58 or -6761?\nAnswer: -6761","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + m - 1 - 15 = 5*m, 9*h - 6*h - 5*m - 28 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or -554?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 43*l + 28*l + 32*l**2 - 14*l**2 + 9*l + 3*l**3 wrt l.\nAnswer: 18*l + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(1\/52)\/i)\/i)\/i)\/(i*(i**(-2\/11)\/i)\/i) assuming i is positive.\nAnswer: i**(-1029\/572)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 3:20 PM?\nAnswer: 5:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-54)*2*-6.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20*d + 30 + 10 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*l + 8 - 8. Let j = -16.53 - -19.6. Let s = j + -0.07. What is the closest to l in s, -0.4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (-30 + -9 + 19)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(468) - -4*(sqrt(468) - (sqrt(468) + 1)) - (0 + sqrt(468) + sqrt(468) + -1)) + 1)**2*-2.\nAnswer: -944 - 48*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -986470 at most as big as -986472?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.8192413mg?\nAnswer: 819241.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*c**2 + c**2 - 3*c**2)*(41*c**2 + 1351*c - 1351*c) + 0*c**4 + c**4 + 0*c**4 - 1 to t*c**4 + n*c**2 + o + q*c**3 + r*c and give t.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 66824965825 and -0.25?\nAnswer: 66824965825.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 11*q + 10 = -6*q, 0 = 3*j - 3*q + 6. Solve j = 4*f - 13*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 263312?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + 7 - (0 - 13 - -9)) + -12?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one tenth of a kilogram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/((l**(-3)*l)\/l*l))**(-5\/4))**22 assuming l is positive.\nAnswer: l**(-110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5511833\/6 > 918639?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*a + 10. Suppose -q - 2*w - 16 = 3*w, a*q = -w + 4. Is q a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = x - 169*r + 173*r - 6, -5*x - r = -11 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 18 = 4*t - 6*z, 4*t = -5*z + 25 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.109 + -0.36?\nAnswer: -0.251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -428\/3 + 859\/6. What is the second smallest value in -5, 0, v, -74\/29?\nAnswer: -74\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5 + 4)*1 + 7. Suppose -17*h + 44 = -z*h. Solve h*s + 12 = -2*f - 2*f, 0 = 2*f - 3*s + 16 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, m: 2}. What is prob of picking 1 m and 1 w?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-68)\/788)\/((-14)\/48). Let z = -2\/197 + d. What is the second smallest value in -4, z, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*q**2 + 6*q**2 + 0*q**2 in the form u*q**2 + o*q + b and give u.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 9080.229 litres in millilitres?\nAnswer: 9080229","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c**3 - 4*c**3 + 3*c**3 + (-56*c**2 - 3 + 58*c**2 - 2*c + 2)*(c - 2*c + 3*c).\nAnswer: 2*c**3 - 4*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 84 and 3836?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 + s**2 - 13*s - 23. What is m(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 54 - 52. Suppose -t + l = -l - 870, 0 = 3*t - d*l - 2626. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.7 - -4.5. Let r = 19.53 - -0.47. Let v = r - 18. Is z > v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 25 = 2*w + 5*s, -5*s + 25 = 3*w. Suppose -b + 19 - 13 = w. Solve -3*k + b = -k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*j + 4 + 3. Let b be j\/((9\/315)\/((-14)\/5)). Let v = -84 + b. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 8.292397 nanograms?\nAnswer: 0.000008292397","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 7*c + 535 = 8*c, -2*c = -3*h + 523. What is the greatest common factor of 1829 and h?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 - 6*s**2 - 4*s + 7. Let n be x(-5). Find the third derivative of -2*m**n - 2*m**5 + 3*m**5 + m**5 wrt m.\nAnswer: 120*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 666.9058 - 667. Let v = c - -0.1661. Let p = -5.7481 - v. Round p to one dp.\nAnswer: -5.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.5 + -0.1. Let x = -0.2 + k. Let o = 0.0306 - -0.3694. What is the biggest value in 6\/11, o, x?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i + 1 - 16. Suppose 0*x + i = 3*x. Let t = x - -2. Solve 6*y - t*y = -9 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*v**3 - 4*v**3 - 60*v**3.\nAnswer: -97*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 - 67 + 625)*(-o - 3*o + 6*o)*(0 - 4*o**3 + 0) + 2*o**4 + 0*o**4 - 3 + 0*o**4.\nAnswer: -4590*o**4 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 746 is divided by 36?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 596*g + 596*g + 10*g**3 + 5*g**2 to v + y*g**2 + j*g + p*g**3 and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.0657194 (b) -0.11 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1134 and 1696240.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-3 - -4)\/3*3*26 is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*k - 43*k - 100*k = 40*k + 2784 for k.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 + 26*z**2 + 28*z - 25. Let s be y(27). Let x be 50\/(-5) - 4\/s. Which is smaller: -14 or x?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 91 and 1209?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -44*f + 484. Let l(x) = 67*x - 485. Give -3*k(y) - 2*l(y).\nAnswer: -2*y - 482","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8669, -17316, -26037, -34868, -43845, -53004, -62381?\nAnswer: -72012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11716?\nAnswer: 2, 29, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = y + 110, 5*r + 297*y - 298*y = 137. Solve -r*t - 376 = -121*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -40b741 (base 12) to base 11.\nAnswer: -633975","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**4\/15 + 6892*q**3\/15 - 55232*q**2\/15 + 110528*q\/15.\nAnswer: 2*q*(q - 4)**2*(q + 3454)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, 47, 129, 285, 539, 915, 1437, 2129?\nAnswer: 3015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 438*v**2 + 4*v + 5. Is z(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 816553503?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -101, -187, -293, -425, -589, -791, -1037, -1333?\n\"Answer: -t**3 - 4*t**2 - 67*t - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/(-14) - 1*39110\/(-70) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 24\/(-16)*56\/15 + 6. Factor q*y + 1\/5*y**2 + 1\/5.\nAnswer: (y + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l - l - l**2)*(-26 + 122 - 33 - 34 + 21099*l - 31).\nAnswer: -21099*l**3 + 2*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5073, -5, 42.\nAnswer: -5, 42, 5073","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 276615320 to the power of 1\/4, to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2 (b) 3 (c) 21\/8 (d) -1.9 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/104)\/(75\/(-200)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 3\/5 (b) -1\/3 (c) -38 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 1596*o**3 - 983*o**2 - 587*o - 59. Let i(q) = 532*q**3 - 328*q**2 - 196*q - 20. Let g(n) = -11*i(n) + 4*z(n). Let g(p) = 0. What is p?\nAnswer: -2\/7, -2\/19, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 788642213 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 9:07 AM?\nAnswer: 2:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 + 7. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 252 (base 6) to base 9.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3243024 (base 5) in base 16?\nAnswer: -dace","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 173666 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -621*h**4\/5 - 1869*h**3\/5 - 1881*h**2\/5 - 639*h\/5 - 6\/5.\nAnswer: -3*(h + 1)**3*(207*h + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 589 is divided by 83.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w + 89195 = 12686. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of -k**4\/4 + k**3\/3 + k**2\/2 - 161. Let o be 0\/1*8\/16. What is h(o)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + -122312300?\nAnswer: -122312301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -39653*t**5 + 3*t**2 - 1898 wrt t?\nAnswer: -2379180*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -3 (b) -0.3 (c) -1.76 (d) 129\/76\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let b be 2*(-2 + 6) + (-25 - -5). Let n(o) = -o**2 - 13*o - 28. Calculate n(b).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 4 + 1. Suppose -20 = 4*w + q, 0 = o*w - 8*w + 2*q - 15. Which is greater: -4 or w?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32 - -1 - (267 - 290) - -29) + -140.\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 213 + 220 + 215 - 861 + 1024*t**2 + 213.\nAnswer: 1024*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 48722, 190196, 424416, 751376, 1171070, 1683492, 2288636, 2986496?\n\"Answer: -c**3 + 46379*c**2 + 2344*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - s - 4489 = f, 2*f - 889 = -s. What are the prime factors of s?\nAnswer: 3, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91759 is divided by 15238?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 99489761 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/42)\/((-3)\/(-162)*-9)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2634, 10917, 24778, 44223, 69258, 99889, 136122?\nAnswer: 177963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 + -539754548?\nAnswer: -539754569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u - 2. Let t be x(-3). List the prime factors of (-171)\/(-12) - t\/4.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 + 15*s**2 - 1 + s - 4 - 23*s**2. Let r be q(8). Let j(f) = -f**3 + f**2 + f + 2. Determine j(r).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/4462136 and -1\/144.\nAnswer: 80318448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -5*x - 10, 0*x + 2*x + 4 = 2*d. Suppose 8 = -2*k - 0*k. Let r = d - k. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -66141153\/5236 - -12632. Is a smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6263850326 - 3?\nAnswer: -2.3736149674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 52 + -47. Suppose 4*l = 4*f - 12, 2 = f - 1. Solve 2 = -i*n + m, 4*n + 5*m + l*m = -19 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, y: 13}. Give prob of picking 1 y and 2 w.\nAnswer: 39\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -45654?\nAnswer: 228270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6115478911 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*w**2 + 4*w + 3*w - 2*w**2 - 7*w.\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -4281 at most as big as 264?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1485826 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 17 - 11. Suppose 11610 = -10*f + b*f. Round f to the nearest 100.\nAnswer: -3900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -898 + 901 + (0 - (-81)\/(-12))\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 752179682.\nAnswer: 2, 376089841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 211 + -11100?\nAnswer: -10112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 11:10 AM?\nAnswer: 2:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 13 = 4*b, -3*b + 0*b = 3. Let k(y) = -4*y + 4. Is k(h) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a meter in centimeters?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -99 - -179. What are the prime factors of u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g**3\/3 - 8*g**2 - 22*g\/3 + 4 = 0. Calculate g.\nAnswer: -1, 2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4354*l + 49 = 4353*l - 7*u, 3*u + 7 = -3*l + 2*u for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppxxpxpphxppphhpcxpp. Give prob of picking 2 c and 1 p.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 c, and 1 l when three letters picked without replacement from {u: 1, l: 1, e: 1, j: 2, c: 1, o: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 339*r**2 + 39*r - 97. Let i be c(3). Calculate the greatest common factor of i and 74.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of 25\/4*h**4 + 5\/3*h**3 - 179 - h**5 - 25\/2*h**2 + 0*h. Determine w, given that p(w) = 0.\nAnswer: -1, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*p = -35*p + 3*z + 5, 13 = -p + 2*z for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 81273 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 196641*g*t**3 - 2*g*t**2 + 13783884*g*t + g + 44*t**3 + 2*t**2 wrt t.\nAnswer: 1179846*g + 264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 134*t = 139*t - 650. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.49 - -0.07.\nAnswer: -3.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 3*j - 18 = -6*p, 0 = -5*p + 5*j - 20 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-2) + 6\/4 - 2. Suppose -3*x - x + b - 9 = d, 4*b = 2*x + 22. Let a be 2 + 3\/x + 4. Solve 3*j - 4*h + a = 0, 0*h + 2 = 2*j - 4*h for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1847, 1839, 1831, 1823, 1815, 1807?\n\"Answer: -8*g + 1855","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by 1339536.\nAnswer: 1\/167442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 347904 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 8353 + 8.32741715\nAnswer: 8361.32741715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 32*c**3 - 6*c**2 + 10*c + 106. Let b(h) = -17*h**3 + 2*h**2 - 4*h - 53. Calculate 5*b(x) + 2*n(x).\nAnswer: -21*x**3 - 2*x**2 - 53","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8953?\nAnswer: 7, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**2 + 6*q + 3. Let i be r(-6). Suppose 88 = 5*c + y, 0*c - i*y = -4*c + 78. Let a = c + -14. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8481250 and 118.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1220 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(83 + -93 - (-25 + 2))?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23545 = 5*p + 5*s, 1101*s - 4695 = -p + 1098*s. What is the thousands digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 12, -0.08, 1, -198\/7 in descending order.\nAnswer: 12, 1, -0.08, -0.2, -198\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hffmfahfa. What is prob of sequence maah?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 66 and 347940164?\nAnswer: 1043820492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1450 = 2*i + 46*i + 394. What is the remainder when 69 is divided by i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -2*q**3 - 7*q**2 - 5*q - 1. Let n(w) = 2*w**2 + 7*w - 9. Let v be n(-4). Let u be z(v). Let i = u - -42. What are the prime factors of i?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ys when two letters picked without replacement from {y: 3, b: 4, z: 3, o: 2, s: 1, n: 2}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1405197, 2810401, 4215605, 5620809, 7026013, 8431217?\nAnswer: 9836421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/8 in 2\/17, -23, -1286?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 632?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 4*q + 9 = 0, 0 = q - 5*q - 16. Suppose 2*m - 5 = g. Suppose -59 = -m*d + 41. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -22*m**3 + 213*m**2 + 11*m - 2. Let f(b) = 11*b**3 - 116*b**2 - 6*b + 1. Calculate 6*c(u) + 11*f(u).\nAnswer: -11*u**3 + 2*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 41743 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19775800?\nAnswer: 2, 5, 11, 89, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = h + 17. Let g = -2 - -1. Let i(v) = 1. Let d(n) = -2*n + 2. Let c(a) = g*d(a) + h*i(a). Let z(k) = 12*k**2. Determine c(z(p)).\nAnswer: 24*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/9)*a**(-8)*a*a**7\/a*a*a**(1\/2))**(3\/8) assuming a is positive.\nAnswer: a**(5\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 5, g: 13}. Give prob of picking 2 g.\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6198928 and 648?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(225)\/(sqrt(500) + (sqrt(500)*-2 - sqrt(500) - sqrt(500))) + ((sqrt(1620)*2 + sqrt(1620))**2 - sqrt(45))*-4.\nAnswer: -58316 + 119*sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 450 = -v. Suppose -5*t - 2*h + v = -5*h, -3*h = 4*t - 153. Suppose -11*y + 14*y = t. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/6 - 6 - (3 + -2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2 + 608758*s - 608756.\nAnswer: -2*(s - 304378)*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -188737000 rounded to the nearest one million?\nAnswer: -189000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -79341, -79342, -79343, -79344, -79345, -79346?\nAnswer: -79347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -45*n**2 + 8 + 1 + 48*n**2 - 11*n. What is the remainder when b(8) is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c - 3102*c**3 + 3090*c**3 - 42 + 2*c - 52 + 94.\nAnswer: -12*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(-4*sqrt(240)\/sqrt(4) - sqrt(60)))\/(-2*sqrt(108) - (sqrt(972)*2 + sqrt(972)))*4)**2.\nAnswer: 32000\/1089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1105 = -2*f - 9*r + 8*r, 0 = -2*f + 2*r + 1114. What is the least common multiple of 22 and f?\nAnswer: 6094","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26601 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: Let r(l) = 1378*l**3 + l**2 - 3*l + 3. Is r(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36630 and 5213115?\nAnswer: 1665","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -2*j. Let f be k(-3). Let s(i) be the third derivative of 0 + 2*i**2 + 1\/40*i**f + 0*i - 1\/8*i**4 - 1\/10*i**5 + i**3. Factor s(o).\nAnswer: 3*(o - 2)*(o - 1)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 4*o**2 + 21*o - 130. Give n(5).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u + s - 14, 5*s - 4*s + 16 = 5*u. Let q = u - 1. Let a = q - -2. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(204)*2 + sqrt(204))*-5)\/(sqrt(1452)*4*3))**2.\nAnswer: 425\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3044?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 a, and 2 b when four letters picked without replacement from {z: 4, b: 3, a: 3, u: 1}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2059.03428 - -2059. Round c to 3 dps.\nAnswer: -0.034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -78, -156, -236, -318, -402?\nAnswer: -488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - a = 78, -82 = -0*o - 4*o + 3*a. What are the prime factors of o?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 51.258 + -0.258. Let n = -56 + q. Let j = -0.35 - -0.4. Which is the third biggest value? (a) j (b) 0.4 (c) -2 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22040751?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -22621\nAnswer: -3\/22621","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6852 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-4)*(-7 - -5). Differentiate 4 - z*q**4 - 3 - 2 wrt q.\nAnswer: -12*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - 1.96. Let t = 0.26 + z. Which is the second smallest value? (a) -1\/2 (b) t (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 20\/(-8))*(41 - 29138\/714).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 2593?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14471 = 1054*y - 2838 - 106899 - 22782 for y.\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 6*n**3 - n**2 + 2*n - 1. Let i be o(2). Let x = 78 - i. Suppose 5*s - 85 = 5*t, 4*s - x - 42 = 5*t. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = c - d, -183*c + d - 10 = -188*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -5*r + 3. Let y(k) = 8*k - 1. Let g(h) = -3*s(h) - 2*y(h). Let f = -5 - -3. Let i be f*3*(-9)\/(-6). Give g(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ptbfv. Give prob of picking 1 v, 1 f, and 1 b.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 3*l - 8 = 0. Let c = 0 - l. Solve -2 = -4*x + c*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 - 8*t**2 + 19*t - 37. Let g be a(6). What is the third biggest value in g, -0.333, -1\/4, 2\/21?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 5*z**2 - 5*z**2 - 2 + z**2 + 1. Determine p(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 60 + -2 + (28 - 74) + 39 + 11?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 35 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1d0e0 (base 15) in base 4?\nAnswer: -113013312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 231*f - 491 + 351 = 91*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13101 - 13087. Are 756 and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2144027 a multiple of 887?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/5*140\/2604.\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - -9796685?\nAnswer: 9796683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u + 28. Let f be q(24). Let w = f - 178. Let h = w + 104. Solve 3*t = h*t + 4 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.7 - 1.88. Let r = 0.42 + a. What is r rounded to 1 decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*u + 5*u + 0*u)*(-5982 + 2889 + 3782) to the form h*u + a and give h.\nAnswer: 1378","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 15*x. Let j(s) = 243089*s**2 - 2*s + 4. Give j(t(k)).\nAnswer: 54695025*k**2 - 30*k + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5666 and 26482884?\nAnswer: 26482884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 18219130 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(1\/3)*i)**(1\/25))**35\/((i*i**(1\/2))**16\/(i*i*i**(-1)\/i)**(2\/7)) assuming i is positive.\nAnswer: i**(-332\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*p - p**4 + 2 - 4 - p**3 + 2*p**4 as i + a*p**4 + q*p**2 + d*p + w*p**3 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*h**2 + 2*h**2 + 0*h**2)*(-5*h + 7 - 7) + h**3 - 2*h**3 - 2*h**3.\nAnswer: 17*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/30 and 121\/54?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hf when two letters picked without replacement from fjthj?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of -j**6\/120 + 3*j**5\/20 + 5*j**4\/12 + 7*j**3\/3 + 7*j**2. Let c be y(10). Suppose -z + c = -1. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, -271 in descending order.\nAnswer: 4, 2, -271","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 4*z + 3*m, 0 = -2*z - 0*z - m + 15. Find the third derivative of 5*u**2 - 35*u + 31*u + z*u**3 + u**4 + 4*u**4 wrt u.\nAnswer: 120*u + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 112\/84*4\/(112\/(-6))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -2*v**2 + v**2 + 2*v**2. Let q(l) = -554*l - 3. Let d be q(-1). Let t(u) = u - d + 551. What is k(t(s))?\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 AM and 10:38 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 110744143 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**3 + 10749*v**2 + 298701*v + 287955.\nAnswer: 3*(v + 1)*(v + 27)*(v + 3555)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(1\/3))**(1\/7)\/(s**(-1)\/s**(-1)) assuming s is positive.\nAnswer: s**(2\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15548 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(170) + sqrt(170) + sqrt(170)*4) - -2*(-4*sqrt(170) - sqrt(170) - sqrt(170) - sqrt(170)))\/(sqrt(1210)*1 - sqrt(60)\/sqrt(600)).\nAnswer: 220*sqrt(17)\/109","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + i = 0. Suppose i = -n + 18 - 14. Suppose 28 = 4*o - n*v, 0*o = -2*o + 4*v + 6. Calculate the remainder when 75 is divided by o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -16, 5*z = -2*s + 2*z + 8. Let o be (-3)\/s*(-6)\/(-9). List the prime factors of o\/((2\/(-20))\/((-45)\/6)).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -54517218 divided by -6\nAnswer: 9086203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 5*q - 4 = 0, 214*p + 5*q = 211*p + 68 for p.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 - p - 3. Let o be f(0). Let u = 2668 + -2668. Which is the closest to 1? (a) u (b) o (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 + 9.8. Let h = 3 + u. Round h to 0 dps.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 AM and 7:49 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18 - -10. Let g = 33 - 229\/7. What is the closest to g in -0.2, b, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -39*u + 17. Give c(-3).\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -0.1, 1333, -1053\/20 in descending order.\nAnswer: 1333, 0.1, -0.1, -1053\/20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.098 take away 14?\nAnswer: 23.098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (508\/(-6))\/(2\/(-3)). Suppose 5*t - b = -4*c - 35, 5*c = -5*t + 110. Calculate the greatest common factor of 18 and c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 10*s + 13. Suppose 8*m + 30 = 14*m. Suppose m*z - i - 32 = 0, -z + 16 = z - 2*i. What are the prime factors of q(z)?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1133021110 (base 4) in base 8?\nAnswer: -1371124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/3 (b) 0.6 (c) -30 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 933*z**4 + 4*z**3 + z - 129. Let d(j) = 3733*j**4 + 18*j**3 + 3*j - 515. Let n(q) = -2*d(q) + 9*r(q). Find the second derivative of n(u) wrt u.\nAnswer: 11172*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of -3*a**5\/160 + a**4\/4 + 23*a**3\/16 - 315*a**2\/8 + 9*a - 57. Let q(r) = 0. Calculate r.\nAnswer: -5, 6, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1989.2 - -1568. What is f rounded to the nearest 10?\nAnswer: -420","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1*1 - 6)\/(406\/(-6090)). What is the highest common factor of 903 and r?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 151600144.\nAnswer: 2, 9475009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-74)\/(-36))\/((-25)\/(-10)) - 1 and 37\/81?\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1243 - -212. Let i = 696 + w. Calculate the least common multiple of 12 and (-1)\/3 - i\/15.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 + o. Let b be h(-1). Let p be (-20)\/(-25)*b\/(-4). Factor 2\/5*l - p*l**3 + 2\/5*l**2 - 2\/5.\nAnswer: -2*(l - 1)**2*(l + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 93 = -n + 138, 4*p - n + 459 = 0. Let x = -88 - p. List the prime factors of x.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -822, -1934, -3046?\nAnswer: -4158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 105 and 142065.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9748, 17039, 24330, 31621, 38912, 46203?\nAnswer: 53494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -159\/424616500 and -2\/21175.\nAnswer: 4670781500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110*i - 20634 = -71*i. Solve 28*v = -58 + i for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 74 - 470 = 0. Let j(i) = 23*i - 11. Let a(x) = 2*x - 1. Let n(h) = l*a(h) + 6*j(h). Let q(k) = -2*k. Determine q(n(f)).\nAnswer: -12*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*h + 5*h - 3*v = -4, 0 = -2*v + 8 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2 - 5*h - 2*h**2 - 2*h + 3*h + 6*h**2 + 2*h**3. Let j(z) = z**3 + 3*z**2 - 3*z + 1. Let u = -16 + 12. What is u*j(r) + 3*l(r)?\nAnswer: 2*r**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m + 105. Let p(u) = -3*u - 312. Let n(b) = -4*p(b) - 11*z(b). Is n(-27) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/11732 and -61\/129052.\nAnswer: 129052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 1902 = 4*i - 2704, r - 1 = 0. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l + 3*l - l**2 - 5*l**3 + 3*l**4 - 1156 + 1160 to t*l + w + r*l**2 + f*l**3 + u*l**4 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2b - -27bc?\nAnswer: 2791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yya when three letters picked without replacement from {y: 6, p: 2, a: 7}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uzzi when four letters picked without replacement from uuiiziizz?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 257 is divided by 43?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(288) - (6*sqrt(48)\/sqrt(6) - sqrt(8)))\/(sqrt(144)*4 - sqrt(4) - sqrt(20)\/sqrt(5)*4) + -5.\nAnswer: -5 - 23*sqrt(2)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 2. Let v = 0 + k. Let n(c) = 8*c - 3 - 18*c + 11*c + 0. What is n(v)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 274526?\nAnswer: 2, 7, 19609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a litre in millilitres?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-4\/5)*w**12\/w*w**14*w*w**1\/w assuming w is positive.\nAnswer: w**(126\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 - -17. Suppose -3*j + 12 = -f*z - 12, -z = j - 12. Suppose 5*p = p - 3*r + 11, 0 = -5*p + 5*r + 5. Calculate the least common multiple of j and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - 0. Let b = 36566 - 36561. What is the nearest to i in 43, b, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6303723 a multiple of 479?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*n + 3. Suppose 2*y - 14 = -f, 2*f - 5*y + 29 = n*f. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 13251?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 276\/48 - (1 + 5\/(-4)). Solve 2*g - 16 = u*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 165?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5161*v**4 + 11383*v**3 + 32807994*v**2 wrt v.\nAnswer: -123864*v + 68298","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g + 2. Let i be t(3). Let z = 1 + -0.9. What is the closest to i in -2\/11, -2\/3, z?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 569, 678, 955, 1484, 2349, 3634?\n\"Answer: 14*t**3 + 11*t + 544","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -50 - 7. Let k = -30 - w. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 7 + 8)*(80*q + 55*q - 11*q + 52*q).\nAnswer: 1232*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 777705699?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4629563 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 2*p + 746, -k - p + 184 = p. What is the highest common divisor of k and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2*2\/(-12)*0. Suppose -6*x - x + 14770000 = g. What is x rounded to the nearest 100000?\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -134 + 140. Let n = 0.81 - 0.71. Which is the nearest to w? (a) -0.5 (b) n (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 267557 and 1.\nAnswer: 267557","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 590.2 from -38.755.\nAnswer: -628.955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1613 - 1612. Sort s, 30, -1\/5.\nAnswer: -1\/5, s, 30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2931226 centuries to decades.\nAnswer: 2.931226","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/2662390?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-69)\/18 + (-11 - -14))*2\/(-5).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13680 + -7703. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40168.\nAnswer: 2, 5021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -9211, -43, -4, 2 in descending order.\nAnswer: 2, -1, -4, -43, -9211","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 + -1 + 8\/(-10). What is the nearest to 1\/2 in 1, z, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = g - 33*j + 32*j + 6, -3*j + 6 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61 - 68 + 384*a + 258 - 66 - 63.\nAnswer: 384*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -3 - 13*f**3 - 6*f + 1 + 5*f**2 + 14*f**3. Let p be n(-6). Let c be -2*3 + (-58)\/(-13). Is c at most as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -3*d**3 + 1296*d**2 + 5208*d + 10465. Determine y(436).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 - 6*u**2. Let z be h(0). Which is bigger: 4\/983 or z?\nAnswer: 4\/983","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dyda when four letters picked without replacement from {o: 2, y: 9, d: 3, a: 2}?\nAnswer: 9\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -132, -248, -364, -480?\n\"Answer: -116*h - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28 + 9 - 8 + 92*y.\nAnswer: 92*y + 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -43, 1, -3, -2, -8 in ascending order.\nAnswer: -43, -8, -3, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15 - 728\/(-49)) + 2\/14?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 - 2*b**2 + 2*b + 1. Let v(c) = -c**3 + c**2 - c - 1. Let j(y) = -3*i(y) - 4*v(y). Calculate j(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**2 - 4*j + 1. Let d be h(-3). Suppose u - 4 = -q, u + q = d*q. Let a = -14 + 14. Solve 2*n - 2 = 4*w, -3*n + a*n - u = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-7*3\/5 - -5) + 709982\/35?\nAnswer: 2, 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -242, -940, -2098, -3716?\nAnswer: -5794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k. Let q(m) = -54*m + 38*m + 16*m - 1899*m**2. Calculate q(l(x)).\nAnswer: -1899*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 72, 160, 272, 420, 616, 872, 1200, 1612?\n\"Answer: 2*d**3 + 74*d - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 5) to base 15\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/12 + 31\/(-4). Let l be 4 + 38\/k - -1. Which is the closest to l? (a) -0.4 (b) -1 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11 + 165*x + 169*x - 640*x + 177*x + 166*x to a*x + k and give k.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4522713 to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0\/(3 + 14\/(-7)). What is the tens digit of (-2864)\/(-2) + (-7 - w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmmm when four letters picked without replacement from {m: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 405066?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, t: 5}. What is prob of sequence tqtq?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000204311 rounded to 6 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 282, 30, -10, -2, 3, 0 in ascending order.\nAnswer: -10, -2, 0, 3, 30, 282","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of j**4\/24 - 5*j**3 + 655*j**2. Calculate t(17).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*y**2 - 10*y**2 + 13*y**2 + 11*y**2.\nAnswer: 21*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 535*n**2 - 1 - 266*n**2 + 15*n - 267*n**2 in the form y*n**2 + k + t*n and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i**0\/i))\/i)\/i*i)**(-6)*(i*i**18*i)\/(i\/(i\/(i**(-3)\/i))) assuming i is positive.\nAnswer: i**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 2*s = -20, -129*s + 125*s - 22 = -2*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 173791369 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 25, -375, 6, 1, -3, 4 in descending order.\nAnswer: 25, 6, 4, 1, -3, -375","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/(g*g**8)*g)**17 assuming g is positive.\nAnswer: g**(-102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 9 = -3*d. Suppose -s = -4*c + 11, -2*c - 2*c = -5*s + d. Suppose 0 = c*u - 17 - 59. Solve -2*i = 3*k - 3 + 2, -5*k + u = -i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of -5*r**4\/12 + r**3\/3 - r**2\/2 - 27*r. Give q(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12.6 - -62055.\nAnswer: 62042.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149 is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7252 + 7244 - 21749 + 7253 - 14*y**3 + y**3.\nAnswer: -13*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-105)\/9 + (-16)\/12. Let i = 70 - c. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4 + -6 - -4 - -20. Let u = h + -12. What is the remainder when 27 is divided by u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 881 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 (base 5) in base 7?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -59 less than -59?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**29*k)\/k*k*k*k\/(k**(28\/9)\/k*k))\/(k**17\/k*k*k)**17 assuming k is positive.\nAnswer: k**(-2485\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aoe when three letters picked without replacement from {h: 4, o: 2, x: 1, e: 1, a: 1}.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lx when two letters picked without replacement from {x: 2, w: 1, s: 2, l: 1, k: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c5 + 6?\nAnswer: cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -132749 + 132766.0014. Let z = j - 17. What is z rounded to 4 dps?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + 0 + (-2 - -6). Find the third derivative of -3*i**2 - i**2 + 7*i**5 - 6*i**d wrt i.\nAnswer: 60*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*k**4 - 20*k**3 + 55*k**2 wrt k?\nAnswer: -72*k - 120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4544 and 2272?\nAnswer: 4544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -745, -1451, -2157, -2863, -3569?\nAnswer: -4275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109*q - 60 = 119*q. Let s be (-72)\/(-30)*70\/(-4). Find the common denominator of 2\/q*29*s\/(-308) and 89\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -218.4 + 183. Let b = -5.6 + p. Let z = b - -40.939. Round z to 2 dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bch when three letters picked without replacement from {u: 4, h: 7, b: 2, i: 3, c: 1}.\nAnswer: 7\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/45*39*-5. Calculate the highest common factor of r and 1456.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -199008\nAnswer: -1\/49752","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**3\/5 - 5004*u**2\/5 - 4*u\/5 + 5004\/5.\nAnswer: 4*(u - 1251)*(u - 1)*(u + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 370*d + 1896. What is the remainder when 311 is divided by a(-5)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 3*b = -3, -7*r + b + 19 = -2*r. Find the third derivative of -n**3 + n**2 + 0*n**2 + 0*n**3 + r*n**3 wrt n.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/21 at least 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 261814444?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 706387 to the power of 1\/3, to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3088.\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1872) + -2 + -1 + sqrt(1872))**2.\nAnswer: -144*sqrt(13) + 7497","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25418464?\nAnswer: 2, 794327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -2 (b) -3 (c) -2\/3 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 PM and 8:49 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -7*r**3 - 2*r**2 - 5*r + 7. What is l(2)?\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 + 14*n + 13. What are the prime factors of z(-16)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of ((-8)\/(-6))\/2*114 + 0?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 331*d + 354 + 639 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ie when two letters picked without replacement from eeeeeeeeieee?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 23592113 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-86130)\/(-263175))\/(4\/66)\nAnswer: 27\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, r: 2, a: 1, k: 1, e: 2, z: 1}. What is prob of sequence ra?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17) - sqrt(425)*4) + (sqrt(17) - (sqrt(153) - sqrt(153)*2 - sqrt(153))\/sqrt(9)))**2.\nAnswer: 4352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 AM and 3:09 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82539 is divided by 41173.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3380053 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1429930?\nAnswer: 2, 5, 142993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28693109?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.05 - -3.75. Which is greater: 17 or b?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 465, 463, 459, 453, 445, 435, 423?\n\"Answer: -j**2 + j + 465","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -11.\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 233144*p**3 - p**2 + 33492*p wrt p?\nAnswer: 1398864","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -10264374.5 rounded to the nearest 1000000?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is (-36 - -12) + -7 - -45?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 + (-5)\/(20\/(-12)). Suppose t = -2*s + 17*s - 1290. Suppose -8*o - s + 14 = 0. Let g(q) = -q**2 - 10*q - 5. Give g(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 3*u + 86. What is the remainder when u is divided by 30?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13733 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 253 divided by 27\nAnswer: 253\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 + 10*w**2 + 25*w - 13. Calculate g(12).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 6*o + 160. Determine k(-38).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 7 - 2)*(-2*x**3 + 2*x**3 + x**5).\nAnswer: -17*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 406704*k**2 + 47*k + 5. Let g be b(-3). Round g to the nearest one hundred thousand.\nAnswer: 3700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -18*q + 19*q + i, 2*i = -5*q + 40. Let d(s) = -s**2 - s - 2. Let g(n) = -6*n**2 + 3*n - 16. Let h(p) = 5*d(p) - g(p). What is h(q)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -414, -1644, -3690, -6552, -10230, -14724?\n\"Answer: -408*t**2 - 6*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2 + 16*t + 14.\nAnswer: 2*(t + 1)*(t + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55047 is divided by 498.\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*f - 49*f - 82*f - 984. Let u(o) = -2*o + 1. Calculate u(f).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 124 - 86. Does 19 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -278*v + 214 = -2054 - 1055 + 543 for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3982 - -512. What is the thousands digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.44 + -1. Round n to 1 decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 27 + -9. What is the least common multiple of w and 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, d: 1, l: 1}. Give prob of sequence ddw.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -35 - -39. Let d be (-8)\/(-6)*(-6)\/(-4). Solve 3*z + z = -4*h - 4, 3*h + d = -r*z for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0.5, 1 in decreasing order.\nAnswer: 3, 1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 3*c**2 + 80*c + 468. Let b be o(-19). Suppose a = 4 + 1. Suppose a*w - b - 19 = 0. Solve 4*y - w = -y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**0\/n*n**4)**21 assuming n is positive.\nAnswer: n**63","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of 21 and -0.05994488.\nAnswer: 20.94005512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 29396 by -2.\nAnswer: -14698","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 5, 39, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 3 (b) -2\/1035 (c) -1 (d) -1027 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 - (3 + -2 + -2). Suppose 31 = 2*o + 5*s, 4*s = -4*o + q*o + 8. What are the prime factors of o?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/9, -2\/9, -4, -110, 0.099?\nAnswer: 0.099","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a - 20. Let r be (21\/(-2))\/((-15)\/20). Let y be k(r). Let u(n) = -n - 6. Let z(x) = -x - 7. Let i(d) = d - 2. Let s be i(9). What is s*u(h) + y*z(h)?\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4120 and 37880?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/10)\/(6\/10)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 11\/17 (b) 1\/5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 351459.\nAnswer: 3, 4339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 142582?\nAnswer: 2, 11, 6481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 49322 - 5030791\/102. Let r = n - 1\/51. Let z = -22 - -19. Which is smaller: r or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 8 = 0, -22*l + 23*l = -5*s - 663. Let o = 1994\/15 + s. What is the second biggest value in o, -0.3, -3\/2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*x**5 - 4 - 15*x**3 - 31*x**5 - 684*x - 9*x**3 + 3*x**5 wrt x.\nAnswer: -500*x**3 - 144*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.5077282 grams?\nAnswer: 507.7282","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 153 divide 539616601?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - o - 16556, 294*m - 292*m - o - 8276 = 0. Calculate the highest common divisor of 120 and m.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 55 - -28. Let f = 113 - q. Suppose 6*r - 7*r = -f. Calculate the highest common factor of r and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1617\/105 + (-1344)\/64.\nAnswer: -28\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jas when three letters picked without replacement from {s: 1, j: 1, o: 1, a: 2, h: 2, e: 2}?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7559 + -1553. What are the prime factors of i?\nAnswer: 2, 3, 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19 is divided by 14.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/12*(1 + 1)*-16. Solve 0 = 3*b + 4*h + q, -4 + 2 = b - 2*h for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**2 + 121252*t + 100838520.\nAnswer: -4*(t - 31123)*(t + 810)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -54, 10, 168, 462, 934, 1626, 2580, 3838?\n\"Answer: 7*y**3 + 5*y**2 - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 3*j + 9. Let u(b) = -3*b - 9. Let x(y) = -7*q(y) - 6*u(y). What is the remainder when 44 is divided by x(-8)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y + 2 + 2 - 3. Determine l(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 50 + 5*g + 279*g**2 + 66 - 5*g - 112. Let f(u) = -2*u**2. Give f(b(a)).\nAnswer: -155682*a**4 - 4464*a**2 - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -80 - -81. Let s(f) = -f**3 - 2*f**2 + 3*f - 1. Let p be s(z). Which is smaller: -36 or p?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 808*c - 815. Determine n(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/7098 and 33\/2?\nAnswer: 7098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -175082\/27 + 6486. Calculate the common denominator of -46\/9 and d.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*v + 242 = v - 5*a, -12*v + 212 = -50*v + 2*a - 4*a for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*b**5 - 34*b**2 + 40*b**5 + 63*b**2 wrt b?\nAnswer: 2760*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21100 - 121200122?\nAnswer: -121102022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6446 and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -24060*b**2 - 216547*b - 3. What is h(-9)?\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 71.4 + -0.4.\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 107074.5 rounded to the nearest 100?\nAnswer: 107100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m + 0*m + 17 - m. Is g(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m - 3*m + 3*m - 3*m - 2*m + 6*m + 0*m - 2*m + m + (3 - 3 + 2*m)*(1 - 3 + 3) + m + 4*m - 4*m - 1 + m + 1 + 2*m + 0*m - m + 14*m - 5*m - 198*m.\nAnswer: -185*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 AM and 4:42 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13407970 is divided by 747?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -950*q + 3*q**5 + 108 + 950*q + (q**3 + 2*q**3 - 4*q**3)*(0*q - 2*q**2 + 0*q).\nAnswer: 5*q**5 + 108","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 344 = -36*s + 272. Sort -2\/11, 3, 0.08, s in descending order.\nAnswer: 3, 0.08, -2\/11, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -2 + (0 - 0) - 1398\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*x + 12*x = -129. Find y such that 135*y - 43*y + 30 - 5*y**2 - 24*y - x*y = 0.\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2\/5 + 910484*z + 518113196410.\nAnswer: 2*(z + 1138105)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1824373771?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, a: 3, y: 4, n: 6}. What is prob of sequence ya?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + -59a76868?\nAnswer: -59a76868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -20\/392843 and 31\/18249343.\nAnswer: 200742773","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -4.1+-26025\nAnswer: -26029.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 28933821 to the nearest integer?\nAnswer: 307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -358 in 3\/5, -4, 338, 0.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 454 less than 895?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2387\/2 + -1193. Let f(v) be the second derivative of 0*v**3 - 9*v + j*v**4 + 0*v**2 + 0. Let o(a) = 2*a**2. Determine f(o(c)).\nAnswer: 24*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4511 - -4506. Sort 1\/3, r, -2, -4\/5 in increasing order.\nAnswer: r, -2, -4\/5, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*d**3*q + 2*d**2*q - 12*d + 13*q wrt d.\nAnswer: 12*d*q + 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -3)\/(((-374816)\/1066)\/(-16) - 22)\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 + 9*m + 5. Let r(t) = t + 1. Let s(x) = -b(x) - r(x). Calculate s(-10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -v**5 + 5*v**4 - 2*v**3 - 8*v**2 = 0?\nAnswer: -1, 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1511*a**3*h**2 + 333*a**3*h - a**3 + 84*a**2*h**2 + a*h**2 + 7*a + 8*h wrt h?\nAnswer: -3022*a**3 + 168*a**2 + 2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 6*s**2 + 413*s - 487. Calculate k(-70).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1426*c**2*d**3 + 6*c**2*d**2 - 54*c*d**2 + 1 wrt d.\nAnswer: 8556*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4722925 to the nearest integer?\nAnswer: 2173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-3))\/((-2)\/12*2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -145, -305, -475, -661, -869, -1105?\nAnswer: -1375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of -3*h**4\/8 + h**3\/6 + 6*h**2. Let f be s(-1). Let n = f + -2. Calculate the remainder when 15 is divided by n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1022193 and 68493.\nAnswer: 867","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of 3*n**5\/5 + 3*n**4\/2 - 3*n**3 + 524. Factor b(w).\nAnswer: 3*w**2*(w - 1)*(w + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = 2*l + 16, -5*l - 21 - 4 = -5*f for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 - 10*x**2 + 4. Let l = 95 - 105. What is d(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 111526373.\nAnswer: 7, 29, 549391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = -6*u, 2*f = u + 4 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10935405?\nAnswer: 3, 5, 13, 31, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 117 + -119 - ((3 - 0) + -1 + 41)\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 - 8. Find the third derivative of -2*c**4 + 8*c**4 - 2*c**r + 3*c**2 wrt c.\nAnswer: 96*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 349.9999861 + -350. Round p to six dps.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 202*c + 7*c**5 + 1303900*c**4 + 4*c**3 - 1303900*c**4 wrt c?\nAnswer: 140*c**3 + 24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of 2*j**7\/21 - 8*j**6\/15 + j**5 - 2*j**4\/3 + 9*j. Factor p(w).\nAnswer: 4*w**2*(w - 2)*(w - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/15932 and 39\/22760.\nAnswer: 159320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -54 + 25. Let p = s - -23. Which is the nearest to p? (a) -0.5 (b) -0.2 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) 73 (c) 0.5 (d) -3.069\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1272 - -1569. What is the highest common factor of 77 and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3279823 is divided by 327972?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 299927?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2337344.00031 + 2337284. Let u = -60 - o. Round u to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - 4 - -12) + 6\/(-16) + -3?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 8 = 3*x - 1, 0 = 4*y + 4*x - 12. Solve y*l = 4*t + 20, 3*t = -l - 0 - 5 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -181*g + 62 - 1 + 8*g**2 + 186*g. What is the hundreds digit of b(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -2*o**2. Let p(i) = 4*i**2 + 5*i + 64. Give p(a(w)).\nAnswer: 16*w**4 - 10*w**2 + 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 33.24574um?\nAnswer: 0.00003324574","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 112284 and 80784.\nAnswer: 251965296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 7 = 5*j, 4*j + 11 = 9*j + r. Suppose 4*o - 8 = -2*w, o = j*w - 2*o - 21. Let y = 2035 - 2030. Solve -3*u - 11 = -y*a, u + 35 = 5*a + w*u for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -5*g - 4 + 4. Let t(x) be the second derivative of -x**3\/3 - 159*x. Determine i(t(c)).\nAnswer: 10*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-70*(-7)\/(700\/(-80)))\/(4\/2)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 64961802 divided by -21653934\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 913?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(((sqrt(363)*-3)\/sqrt(11) + sqrt(33))*5)\/(3*(-3*sqrt(75) - sqrt(75)) + sqrt(75)).\nAnswer: 12*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + 49 + 51. Suppose -17*w + s = -12*w. Calculate the remainder when (4\/10)\/((-2)\/(-70)) is divided by w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15601677 a multiple of 167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/(-42))\/((-2)\/(-6)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*f + 33*f - 16512. Is f a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eighteen fifths of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-1)*1\/((-1)\/1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 30363525 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of c**3\/3 - c**2 - 8*c + 33. Let h(g) = g**2 - 2*g - 7. Let l = 6 + 1. Determine l*h(n) - 6*a(n).\nAnswer: n**2 - 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -936065, -3744090, -8424069, -14975996, -23399865?\n\"Answer: w**3 - 935983*w**2 - 83*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 - 227*p**2 + 913*p - 2546. Calculate u(-231).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oggogggggo. Give prob of picking 3 o.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 59230, 118447, 177664?\nAnswer: 236881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -55253, -55196, -55139?\nAnswer: -55082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-28) - 15*1\/(-7). What is the third derivative of -20*j**4 - 28*j**2 + 40*j**f - 7*j**4 wrt j?\nAnswer: -648*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -32*l - 4. Let y be k(-2). Suppose -4*w = w - y. Solve b + 4*d + 2 - 11 = 0, -3*b + d - w = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34789 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of -4\/3*l**3 - 1\/5*l**5 + l**4 + 2 + 0*l + 0*l**2. Factor q(n).\nAnswer: -n**2*(n - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -230 + 226.24. Let q = -2.19 + l. What is q rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 104\/24 - (-1)\/(-3). List the prime factors of (-6)\/24 - (-17)\/y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(1\/9)*a)\/a*a*a**(-5)*(a**(-3)*a)**21 assuming a is positive.\nAnswer: a**(-406\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 + 31 + 20 + 27?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 886 a factor of 8478134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6313079 to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 + 3\/(-3) + 3. Suppose s = -6*d + 7*d. Suppose -5*b + 3*b - 8 = d, -5*b + 15 = 5*n. Does 3 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3042\/676)\/((-273)\/(-4))*28\/(-6).\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -2*f - 32, 2*f = -4*y - 38 + 6. Let n = f - -29. Suppose n*l - 684 = 7*l. Does 19 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 35 and 420.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggggggggg. What is prob of picking 3 g?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20112110101201 - 2?\nAnswer: 20112110101122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2 + 2)*(694*c**3 - 694*c**3 - 1037*c**4) as n*c + w + x*c**4 + d*c**3 + y*c**2 and give x.\nAnswer: -1037","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -15 (b) -4\/7 (c) 2\/27 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -9843526.669 rounded to the nearest 10000?\nAnswer: -9840000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*d + 32*d - 12 = 0. Solve -1484*r - 2*r**d + 1420*r - 256 - 2*r**2 = 0.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.471 - 12.\nAnswer: -12.471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 29 - 7. Let v be -9 - f - (-3)\/1. Let u be 1\/4 + 147\/v. Sort 1, u, -3 in decreasing order.\nAnswer: 1, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*v = -22*v + 28 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.124 and 0.3?\nAnswer: -0.0372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19397?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14672?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-184)\/(-10) - (-4)\/(-10). Suppose 4*r + 8 = 8*r. What is the greatest common factor of r and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -38\/459729 and 7\/3?\nAnswer: 459729","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (s + 2*s - s)*(-4*s + 0*s + s)*((s + 0*s - 2*s)*(3*s - 4*s + 2*s) - 6*s**2 - s**2 + 2*s**2) to b*s + a + z*s**4 + y*s**2 + i*s**3 and give z.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 32*m + 1146. What is u(-35)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 2*h - 4*f, 39 = 3*h - 0*h - 2*f. Calculate the highest common factor of 44 and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 59*r + 417. Calculate l(-6).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 854 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-4) + -1*114\/(-4). Let f = h + -14. Calculate the remainder when f is divided by -6*(-2)\/4 - -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t + 7. Let y(q) = -1. Let d be 0 - -1*(2 + -3). Let x(c) = d*z(c) - 6*y(c). List the prime factors of x(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 192040 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4369? (a) -3 (b) 3\/2 (c) -2 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are 20985 and 20985 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of -61*j**3\/3 + j**2\/2 + 2*j - 1075. Calculate p(-1).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 203891?\nAnswer: 53, 3847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*l - 10 = 2*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 56\/63011 and -7\/32804496?\nAnswer: 426458448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of 38*u**9\/9 - u**5\/20 - 49*u**4\/4 + 903*u**2. Find the third derivative of i(f) wrt f.\nAnswer: 255360*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 11513*o - 92126. Give j(8).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 e, and 1 z when three letters picked without replacement from {w: 1, e: 3, y: 1, j: 2, z: 2, t: 3}?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3200 by -4.\nAnswer: 800","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 15 = 0, -4*r - 5*m - 15 + 0 = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138 = 34*n - 138 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2882 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 41624136.6 rounded to the nearest one thousand?\nAnswer: 41624000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 83*b**3 + 127 wrt b?\nAnswer: 249*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = -3*d + 58, 0 = -o + 2*d + 484. Calculate the highest common divisor of o and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1287\/22)\/39)\/(585\/60).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - -2)\/(36\/(-2)) - (-2 + 2)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7693 and 1666?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2321 or 0.01?\nAnswer: 2321","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 337*d - 13787. Determine k(42).\nAnswer: 367","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -6242\nAnswer: 12484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7343\/2 - 3904. Suppose -h - 3*i = -225, -20*i + 23*i = 3. Let f = m + h. Is -12 < f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - 27 = -6. Let i(v) = 3*v**3 - 3*v**2 + 5*v - 5. Is 28 a factor of i(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/74778 and -17\/22?\nAnswer: 74778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together -182.5 and -10.\nAnswer: -192.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-112)\/6)\/((-16)\/24)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) -5 (c) -0.4 (d) 29 (e) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 9*y - 8. Let o(s) = 11*s - 7. Give -6*j(v) + 5*o(v).\nAnswer: v + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 73562609 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-6907612.\nAnswer: 6907612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 - 9*f - 11. Let v be (8\/(-16) - 5)\/((-2)\/4). Determine a(v).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 286.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 4*d - 3, 5*p = 2*d + 317. Suppose p = 14*y - 11*y. Is 11 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(600))\/sqrt(10))\/(sqrt(768)*3 - sqrt(768)).\nAnswer: -sqrt(5)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the second derivative of -t**3\/3 + 49*t**2\/2 - 27*t. What is the units digit of z(-22)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*u + 20, -137274*u + 1 = -k - 137272*u + 9 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 664331 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + 1 - 6, 21 = n + 4*m. Let i(r) be the first derivative of 1\/2*r**2 + n - r**3 + 0*r. What is the second derivative of i(v) wrt v?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1578365 is divided by 1164?\nAnswer: 1145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (45*(-8)\/(-720))\/((-1)\/(2\/4)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of w**4\/2 - 4*w**3\/3 + 10*w**2. What is the derivative of p(f) wrt f?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -11*s**5\/2 + 30*s**4 + 40*s**3 - 120*s**2 - 72*s = 0?\nAnswer: -2, -6\/11, 0, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of 7*n**5\/60 - 6*n**2. Let v(m) = -m**2. What is q(v(j))?\nAnswer: 7*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tltt when four letters picked without replacement from {l: 5, h: 1, t: 7}.\nAnswer: 35\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 59 - 11 = 0. What is the highest common factor of 6 and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2. Let w(g) be the third derivative of -g**5\/5 - 22*g**2. Give w(f(y)).\nAnswer: -12*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11242?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 49403984 and -1.\nAnswer: -49403984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, s: 1, j: 1, d: 2, o: 1, a: 1}. Give prob of sequence asod.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 74954634607 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -12*c + 25. Let y(g) = 2*g - 5. Let t(s) = 2*r(s) + 11*y(s). Let h(x) = 2*x + 4. Let m(k) = -4*h(k) - 3*t(k). What is m(-8)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -17 at most 17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 98 + -87. Differentiate -3 + 6 - 32*q**2 - 8 - z with respect to q.\nAnswer: -64*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000004834 rounded to seven decimal places?\nAnswer: 0.0000048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 300821?\nAnswer: 300821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -18*f - 143. Calculate a(-5).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -4*z + 5. Suppose -2*w - w = -9. Let n(t) = -t + 2*t + w - 4*t + t. Calculate -5*n(k) + 3*q(k).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 221010010 (base 3) to base 5\nAnswer: 1041214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -413 (base 12) to base 13.\nAnswer: -366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -84 - -42 - (-6 - 23)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 782 and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -14*d**3 - 4568*d**2 + 12514*d + 3948 = 0?\nAnswer: -329, -2\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2375 - -1869.238.\nAnswer: 4244.238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 23581 < 23485?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47034103 - -0.13.\nAnswer: 47034103.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7232.45 kilometers in meters?\nAnswer: 7232450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -2*o**3 - 46*o**2 + 3958*o + 88024. Determine s(-22).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than -16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23 + -107. Let g = s - -181. Let o = g - 101. What is the nearest to -0.2 in o, 2\/5, 2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 - c**2 - 3*c + 1. Let l be x(2). Let j = l + 3. Let p be j - 2*3\/(-6). Solve 0 = w - p*w - 3*g + 5, -2*w = 4*g - 4 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -50885134*s**2 + 16131193*s wrt s?\nAnswer: -101770268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*x = 1415 + 185. Calculate the greatest common factor of x and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttmtmtm. What is prob of sequence tttm?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -9*n + 4*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*2*(-6)\/(-48)*-6?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/25 of a gram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4 + -3)\/((-1)\/2). Let u be 1\/(w - 60\/(-28)). Suppose 121 = 5*f - 194. Calculate the highest common factor of u and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 377116 is divided by 217?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 12:32 PM?\nAnswer: 11:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -5*v. Let s(q) = -36*q. Let r(n) = 6*s(n) - 44*w(n). Let x(d) be the second derivative of d**3 - 4*d + 63. Calculate x(r(i)).\nAnswer: 24*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11150, -38098, -83004, -145862, -226666, -325410, -442088, -576694?\nAnswer: -729222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 96 and 35784?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 214361661 is divided by 2112?\nAnswer: 2109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 + 3 + -1*1. Let r be ((-35)\/(-7))\/(p\/1). Sort -0.5, r, -3 in increasing order.\nAnswer: r, -3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -1672295?\nAnswer: 3344590","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 + -12.2. Let y = 0.5 + 4.5. What is the closest to s in -0.5, y, 1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (77 - 35516*t - 35483*t + 71015*t)*(-t + t + t)*(1 - 2*t - 1).\nAnswer: -32*t**3 - 154*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*r + 40, 41*i - 36*i + 2 = r + 9 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000007222654 rounded to 6 dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -35 in 1, 0.034, 2\/11, -2\/11, 6?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*a + 8*a = 3*a - 195. Solve 3*k = a*h, 2*k - 7 = 4*h - 9 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 4 + 2)*(399 - 399 + 60*a**2).\nAnswer: -480*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3273 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 411 - 204. Let l = z - 125. Does 23 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20775 and 196947.\nAnswer: 831","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2405 divided by 6753\nAnswer: 2405\/6753","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 + 2*g**2 + 2. Let c = 7 + -9. Let x be v(c). Let t be 26\/4 + 1\/(-2). What is the highest common divisor of x and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (3 - 1) + (-2 - 1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1569?\nAnswer: 3, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -880, -1912, -2956, -4018, -5104?\n\"Answer: -b**3 - 1025*b + 146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(3*(sqrt(6)\/sqrt(3)*-1 - sqrt(2))**2 - (1*(3*1*sqrt(2) + sqrt(2)))**2).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.184 - 0.116. Which is the closest to 0.1? (a) -3\/2 (b) -1\/2 (c) w (d) -0.44\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -155*o + 83 = -72*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, -320, -1, -26 in descending order.\nAnswer: 1, -1, -5, -26, -320","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4407 is divided by 32?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1144 and 104?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1109 a factor of 6010780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 269 times 15?\nAnswer: 4035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 0*d = -138. Let s = 140\/3 - d. Which is smaller: -0.05 or s?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 5*f + 40 = 0, -12*s + 2*f + 68265 - 68311 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 931373?\nAnswer: 641, 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4890 + -4847. What is the remainder when ((-26)\/(-4))\/(6\/156) is divided by w?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of 5*c**8\/112 - 9*c**7\/35 + 3*c**4 - 953*c**2. Find the second derivative of m(j) wrt j.\nAnswer: 300*j**3 - 648*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 431?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 5*i**5 + 220*i**4 - 22955*i**3 - 922570*i**2 + 7380300*i - 6435000 = 0.\nAnswer: -66, -50, 1, 6, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 40321 - 10?\nAnswer: 40311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1732 a factor of 39487868?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 24 + -21. Find the first derivative of -10*u**l - 8 + 0 + 7*u**3 - 5*u**3 wrt u.\nAnswer: -24*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -284 divided by -142.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21512 - 21368. Calculate the remainder when p is divided by 3\/((-900)\/(-296) + -3).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 507980?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**5*k*k)\/((k\/(k\/k**17))\/k)*(k*k*k**(-8)*k*k)\/(k\/(k\/(k\/k**21)*k)) assuming k is positive.\nAnswer: k**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 u when two letters picked without replacement from wueii?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a microsecond in nanoseconds?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -170622709*q**4 - 5510*q**2 + 5*q + 225 wrt q.\nAnswer: -4094945016*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 n when two letters picked without replacement from {d: 5, p: 1, n: 3, k: 3, g: 1}.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 5*n + 2. Let x(r) = 21*r + 2. Let z(d) = 1. Let m(i) = x(i) + 6*z(i). Calculate -9*l(h) + 2*m(h).\nAnswer: -3*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (36\/30*4 + -4)*5. Factor 5*b - 5*b**3 + 6 + 24*b**2 - b**r - 2 - 27*b**2.\nAnswer: -(b - 1)*(b + 1)**2*(b + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 11 = 7 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 24*g + 7. Let n(k) = 6*k + 2. Determine 6*c(y) - 22*n(y).\nAnswer: 12*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 183*a - 2*b = 169*a + 38, -15*b = -a - 131 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -2\/15, -7, -4, -2?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -147.03 + 148. Let g = i - -0.03. Which is the closest to g? (a) -5 (b) 1 (c) -5\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.1 + 0.6. Suppose -m = 3*m. Suppose -4*w + m*w + 4 = 0. Which is the closest to 2\/5? (a) -2\/5 (b) w (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*h + 46*h - 242 = 0 for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*q + 0*q - 5*q)*(2 - 1 - 3)*(1 - 1 - 1) in the form a + u*q and give u.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13331003 (base 4) to base 8.\nAnswer: -77503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - ((-7 - -7) + (2 - 6)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 16 - 4 = 0. Let m = z - 2. Solve -m*k = -4*k + 4 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 191642.6 + 0.5\nAnswer: 191643.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 188527.\nAnswer: 188527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1896477569?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -885, -3, 24 in ascending order.\nAnswer: -885, -3, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 5*j + 0)*(2 - 2 + 12).\nAnswer: -60*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, y: 3, d: 3, r: 2, j: 2, g: 1}. What is prob of sequence ry?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 67 in 0.3, 0, 2\/3, -3\/5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -37*g + 38*g - 1220. What is the thousands digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 24\/(-90)*3\/2. Let f = 4\/45 - -7\/90. Sort x, f, -1\/5, -1\/14.\nAnswer: x, -1\/5, -1\/14, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -256 + 22462056?\nAnswer: 22461500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -217 - 1853 = 23*y. Does -90 = y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one ninth of a hour in seconds?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10010 (base 2) to base 5.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 3*d = 502. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1243)\/(-253) + -17 - (-13 - -1).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -83126, -166261, -249408, -332573, -415762, -498981?\nAnswer: -582236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 66676?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -33341*b*y**4 + 6*b + 1058 wrt y.\nAnswer: -133364*b*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87 + 362*c**3 - 90 + 30*c**2 - 12*c**2 + 58*c**2.\nAnswer: 362*c**3 + 76*c**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18 - 58 - 10)*(0*b - b - b)*(-2 + 4 - 1).\nAnswer: 100*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 6, 15, 40, 87, 162, 271, 420?\n\"Answer: x**3 + 2*x**2 - 4*x + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(704) - (-3*sqrt(704) + sqrt(704) - sqrt(704) - sqrt(704)))\/sqrt(4).\nAnswer: 20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -27*m - 23. Let f be h(-5). Let v = -100 + f. What is the smallest common multiple of v and 28?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -4, -2\/13?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -220471 + -b?\nAnswer: -220480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -15 not equal to -174\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 279694014 to the nearest integer?\nAnswer: 16724","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/7, -0.88, 2\/15?\nAnswer: -0.88","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of l**5\/20 - 5*l**4\/8 + 2*l**3 + l**2\/2 + 1. Let g(x) be the second derivative of w(x). Factor g(p).\nAnswer: 3*(p - 4)*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 75490 * 1.27.\nAnswer: 95872.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 - 6*n**2 - 8*n + 7. Let t be 2\/(-4) - 44\/(-8). Suppose 8*k + t*y = 6*k - 11, 2*k + y - 9 = 0. Calculate m(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqq. What is prob of picking 2 q?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 140946112?\nAnswer: 2, 61, 79, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4005 + -1284. List the prime factors of h.\nAnswer: 3, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/4)\/((-141)\/24 + 6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 233406 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18*(-20)\/(-450)*-10.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 i, 1 r, and 1 v when four letters picked without replacement from {z: 1, v: 8, t: 1, i: 6, r: 3}.\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 229*a - 354 = 22*a + 4407 for a.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 32072\/(-3376)*10\/(-3)*(-6)\/10\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 AM and 8:29 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/8, -69, 39, 12, 2\/243 in decreasing order.\nAnswer: 39, 12, 1\/8, 2\/243, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14041, -14042, -14043, -14044, -14045, -14046?\nAnswer: -14047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000974913 rounded to six decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h + 2. Determine b(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1024231751?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 - 5*r**2 + 4*r - 4. Suppose -50 + 258 = -4*m. Let x = m + 56. Let z(a) = a**3 + 6*a**2 - 5*a + 5. Give x*z(j) + 5*d(j).\nAnswer: -j**3 - j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 31 + 7 = 0. Suppose -2*a - 32 = -z*a. Suppose -o = -w - a + 3, 0 = 2*o - 5*w - 10. What is the greatest common divisor of o and 40?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of m*q**2*r**2 - 6*m*q*r - 1081*m*r**3 - 29*q**2*r**3 - 89*r**2 wrt r?\nAnswer: -6486*m - 174*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*v**2 - 3381*v**4 - v**3 + 3380*v**4 + 2*v - 4*v**2 + 133 in the form g + r*v**2 + n*v**4 + j*v**3 + c*v and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*u = 535 + 543. Let w(t) = 418*t**2 + 77. Let z(b) = 11*b**2 + 2. Calculate u*z(x) - 2*w(x).\nAnswer: 11*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 45 - 550bb?\nAnswer: -55076","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 qqkqqkkqkqqkqqkqqkq?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-11)\/(-4)*(-11 - -23).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -24370.21013 to the nearest 100.\nAnswer: -24400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 65524 (base 13) in base 6?\nAnswer: 3532134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13922839 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.2391 - 0.76863. Let s = a + -0.47. Round s to 4 decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 35 + 16. Suppose 3*q + 0*q = z + 41, n = 4*q - 5*z. Let v(d) = -14 - 2*d + q. Let y(l) = 7*l. Calculate v(y(a)).\nAnswer: -14*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z - 4 + 4. Let i be v(2). What is the units digit of 12*(-1)\/(-2) - i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32a22a8 (base 11) in base 9?\nAnswer: 11788170","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 - 2*c**2 - c - 4. Let o be l(3). Let m = 4 + 2. Suppose 0 = m*i - i - 5. Solve o = -a - i for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 6 = -2*s, 2*t + 0*s + 2*s + 8 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2590?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + (5\/(-1) - (-20)\/3*(-606)\/(-404)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -255.65 + 255.65. Let y(w) = 2*w**2 + 2*w + 1. Let k be y(-1). Let j be (k - (-2)\/(-2))*1. Which is the nearest to j? (a) -0.5 (b) g (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 882*p - 4*s = 879*p + 20, 5*p - 15 = 3*s. Solve j + p + 4 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and -96.\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 7276240844?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + -2. Let f be (-22)\/(-1*2) - z. Suppose -3*k - 3*s + 0*s = -303, -3*k = -4*s - 324. What is the highest common factor of k and f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2\/8 - s\/2.\nAnswer: -s*(s + 4)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 - 6*k**2 - 5*k + 4. Let o be m(-5). Let a(f) = 260001*f - 4. Let j be a(o). Round j to the nearest one hundred thousand.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/5 - 480771012*p\/5 + 28892595747438018\/5.\nAnswer: 2*(p - 120192753)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + 19 + -38 + (-2 - -1 - -3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 46421 - 46421 - 2591*b**2 + (-2*b - 3 + 3)*(-2*b - 3 + 3) in the form c + v*b + o*b**2 and give o.\nAnswer: -2587","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2*y**3 - 1. Let l be 5\/5*(0 + 1). Let x be -3*1\/(-3)*l. Let m be z(x). Which is smaller: 3\/5 or m?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -264.73107 to the nearest ten.\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3*(-25)\/30)\/(35\/(-28)). Find the second derivative of 11*t**4 + 16*t**2 + 51 - 10*t**4 - 7*t**2 - q*t wrt t.\nAnswer: 12*t**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63907?\nAnswer: 63907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 8.25. Let m = 0.25 + n. What is the closest to -1 in 1\/4, m, 0.6?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -8*p - 4. Let g(x) = -7*x - 5. Let z(y) = -y**2 + 27*y - 183. Let i be z(11). What is i*g(v) + 6*n(v)?\nAnswer: v + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9446 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 7148 divided by -5935\nAnswer: -7148\/5935","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/(-6))\/((-1)\/(-15)). Suppose 22 = v*j - 38. 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: Solve 4*r**2\/9 + 11104*r\/9 + 7706176\/9 = 0 for r.\nAnswer: -1388","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d - 2685 = -21*d. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -43 + 4?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 563.008 rounded to the nearest 10?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 147178125 is divided by 54?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -103 + 1 + (29 + -2 - (184 + -157) - 8)\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -14 - 599*z + 29 - 48 wrt z?\nAnswer: -599","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) -5 (b) 0.5 (c) 8 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/(-2))\/((-2)\/(-20)). Suppose 5*k + 1040 = 990. What is the fourth smallest value in k, -1\/3, -0.4, j?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 3:43 AM?\nAnswer: 1:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -371264\/7 at most as big as 143?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 2\/13 (b) -6 (c) -2 (d) 0.03026 (e) 5 (f) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 3400?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 + 5*a + 7. What is the units digit of b(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 2*c + 0)*(-4 + 0 + 2) - 2*c + 60 - 4*c - 58)*(-5*c - c + 4*c).\nAnswer: 4*c**2 - 4*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*i - 4*i - 8*i**2.\nAnswer: -8*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 2, -0.4, 22 in descending order.\nAnswer: 22, 6, 2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -1. Let f(n) = n - 3. Let i(w) = 5*f(w) - 15*t(w). Let c(y) = -6*y**2. Determine c(i(u)).\nAnswer: -150*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3264 and 102?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 4*t**3 + t**2 - 2*t + 1. Let q be j(1). Suppose -p + q*p - 6 = 0. Suppose 2*g**3 + 7*g**2 + 2*g - g**p - 2*g**2 = 0. Calculate g.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5255*-0.116.\nAnswer: 609.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-69)\/(-36))\/(94691\/2864)?\nAnswer: 4\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 1604.13\nAnswer: -320.826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 - -3 - (0\/4 + 1). Suppose g = 16*l - 19*l + 15. Suppose 3*a - 2*a - l*n - 21 = 0, -1 = -a - 5*n. 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 d = 1.3 + 0.5. Let x = d + 1.2. What is the third smallest value in 0.5, x, -1\/9?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 471*j + 474. Let p be z(-1). Solve 4*m = 6*m - p*r + 19, 3*m - 5*r = -30 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 10) in base 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11100 - -10010?\nAnswer: -1010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 - 10*i + 22. Let n be j(-15). Let c = 185 + n. Calculate the highest common factor of 12 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2285 a factor of 1337479050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -1 - k + 0*k - 1. Let x be w(3). Let n(b) = b + 5*b**2 + 1 + b**3 + 5*b**2 - 2*b**2 - 3*b**2. What is n(x)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*3*(0 + sqrt(1584) - sqrt(1584) - (-1 + sqrt(11) + 3)).\nAnswer: -15*sqrt(11) - 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/48282294 and 29\/72.\nAnswer: 579387528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of q**5\/15 - 5*q**4\/24 - q**3 - 15*q**2. Let j be p(4). Let g = j + 41. List the prime factors of g.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -3*z**3 + z**2 + 3*z + 2. Let x be a(-1). Suppose -4*o = -c - 47, -4*o = 5*c - x - 26. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.3 + 0.7. Let b(k) = -k**2 - 6*k + 2. Let l be b(-6). Let h be 1 + 1 - 18\/12. What is the nearest to h in l, x, 5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 4*f**2 + f - 9. Let u = 10884 - 10880. Calculate r(u).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of -2*(-23932)\/(-16)*(-120)\/15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*k**4 - 4*k**4 - 4 - 2*k**4 + 3796*k + 3 + 2 in the form r*k**2 + b + g*k + x*k**3 + c*k**4 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of -s**4\/18 - 23*s**3\/9 - 22*s**2\/3 + 48*s - 69. Let r(m) be the first derivative of l(m). What is w in r(w) = 0?\nAnswer: -22, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 - -14. Which is the nearest to -1\/2? (a) n (b) 1\/4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 96791?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 - 6*y - 6 + 2*y - 3*y**3. Let m(q) = 3*q**3 + 3*q + 5. Let p(l) = 6*m(l) + 5*r(l). What is the second derivative of p(d) wrt d?\nAnswer: 48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 229027177 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - 111?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 2, -47, 1 in decreasing order.\nAnswer: 2, 1, -0.3, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.25739 rounded to three dps?\nAnswer: 0.257","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 1097\/4 (b) 7 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (0 + 3)*(-26)\/13?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b (base 15) to base 16\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22 + 20020?\nAnswer: 20112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ouuo when four letters picked without replacement from {u: 7, o: 6}?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -74630842 and 5.\nAnswer: -373154210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10781\/10 + -1079. What is the smallest value in s, 0.2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange v - 2*v**2 - v + 26*v**2 - 15*v**2 + 17*v**2 + (-27*v + 13 - 13)*(0*v - v + 3*v) to the form f + x*v + w*v**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7872361?\nAnswer: 7, 787, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4903.307mm in meters?\nAnswer: 4.903307","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*g - 2*k - 0*k + 20, 21439*k - 21443*k = -5*g + 20 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1\/29, 4, 44, 8, 3\/7 in ascending order.\nAnswer: -4, 1\/29, 3\/7, 4, 8, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -164.491533115+283\nAnswer: 118.508466885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.29 - 0.82. What is s rounded to one dp?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8.7 + 9. Let v = -0.7 - -1.2. What is the smallest value in v, 0.1, n?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2 (b) 8.8 (c) -102 (d) -3 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 117 and 74036352?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 828 + -828. What is the nearest to x in -1, -2, 1\/10, 3?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 3*n = 3, -2*n = 2 + 8. Factor -w*z**3 + 33*z**3 - 16*z**3 - 5*z**4.\nAnswer: -5*z**3*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -26.32 + -22.68. What is the biggest value in a, 2\/3, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*o**2 + 409*o**4 - o + 3*o**3 + 2*o**2 - 415*o**4 to the form u*o + l*o**2 + b*o**3 + a + n*o**4 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 314325445 (base 6) in base 11?\nAnswer: 313978a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 22 + -24 + (5 - -2). Solve -w*u + 34 - 19 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45840444 is divided by 45840434.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11376*d + 24646*d - 13271*d.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1613361 is divided by 1943?\nAnswer: 671","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + -10 + (-2 - 2) + 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6 - -4)*(-1)\/(-2). Let j be ((-6)\/2 - -3) + m. Which is smaller: -1\/7 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.075 and 1525744.\nAnswer: 114430.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 157 a factor of 2276657?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 240, 386, 534, 684, 836, 990?\nAnswer: 1146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 PM and 9:04 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.027328 litres in millilitres?\nAnswer: 27.328","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -67 - -71. Suppose -3*x - 33 = -k*x. What is the remainder when x is divided by 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -890 = -14*q - 603 - 497 for q.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -2*z + 68002, z + 169999 = 5*c - 0*z. Let t be 100*11\/((-44)\/c). Round t to the nearest one hundred thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhhhhhhhh. Give prob of picking 4 h.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*i - 3*i**2 + 39*i**2 - 7*i**3 + 53*i**2 - 19*i**2.\nAnswer: -7*i**3 + 70*i**2 + 4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100101101010010 - -1?\nAnswer: 100101101010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in 14, -2, 2\/9, -5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 493*y**6 - 12*y**2 - 6 wrt y?\nAnswer: 59160*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/1785 and 44\/10437.\nAnswer: 887145","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1618999 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-8) + 702\/(-24). Let w = 68 + t. Suppose -2*p - p = -w. List the prime factors of p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 54*y**2 - 912*y + 480. Let j(z) = z**2 - 4*z - 2. Let c(i) = -10*j(i) - l(i). Solve c(x) = 0 for x.\nAnswer: 1\/2, 115\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145367297 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 2*p + h - 2632, -2623 = -5*p - 4*h. Suppose 5*d = p - 97. Is 8 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -90) + (-3510 - -3479).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**1)**(-8)*(k**(-5\/3)\/k*k*k)\/k**(-6) assuming k is positive.\nAnswer: k**(16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2765?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*r - 259 + 434. Let o be ((-106)\/(-265))\/(2\/r). Put o, -6, 3, 1 in increasing order.\nAnswer: -6, o, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 142292.\nAnswer: 2, 35573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 t when two letters picked without replacement from yjajjjjjxjbtjbj?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 21182153.\nAnswer: -5\/21182153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 275.9 - 265. Let p = q - 11. Which is the smallest value? (a) p (b) -1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/(0 + -1) - 24. Let q be (4 - 1) + t\/(-8). Suppose 22 = 4*z + q. Calculate the smallest common multiple of z and 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-521)\/2605)\/((-1)\/(4\/2)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of -l**2 - 2*l - 2. Let v be n(-2). Let 0 + v + 0 - 4*u**2 + 3*u**3 - u = 0. Calculate u.\nAnswer: -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 u when three letters picked without replacement from srrsaszssseru?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 32 = -388*o + 391*o, -3*z - 96 = -12*o for z.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -25896*x**4 - 2*x + 23195?\nAnswer: -103584*x**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1727061600 rounded to the nearest 100000?\nAnswer: 1727100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5950016?\nAnswer: 2, 31, 2999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-55)\/10)\/(-11)*16\/20.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -4*(-4 + (sqrt(147) + 1 + sqrt(147) + 3)*1))**2.\nAnswer: 9408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1888*b - 7947 = -5*i, i - b + 100 = 2*i + 17 for i.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3\/2)\/((-3)\/18). Let n = c + 11. Let s = 21 - 1. Calculate the greatest common factor of s and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 141 - -20?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -0.74 (b) -2\/17 (c) 11.56\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*s**3 + 1369*s**2 - 1369*s**2.\nAnswer: -6*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5511853687 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.774367 rounded to 2 decimal places?\nAnswer: 0.77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 753*u + 2551 - 5124 + 2573.\nAnswer: 753*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times 0.8\nAnswer: -0.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 12907 times -1.6?\nAnswer: -20651.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 + 2*i**2 + i. Let s be m(2). Let n(v) = v**3 - 3*v**2 - 7*v - 32. Let c be n(6). Suppose 4*t = -14 + c. Solve 0 = t*l - 12 + s for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 209 a factor of 89452?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46 + 26 = -5*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a**2\/5 + 12044*a\/5 + 265936\/5 = 0. What is a?\nAnswer: -22, 6044","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 + 12*c + 26. What is q(-4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 16, 451, 1692, 4141, 8200, 14271, 22756?\n\"Answer: 67*k**3 + k**2 - 37*k - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**3 + 38*a**2 + 39*a + 31. Give c(39).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -5*h + 2*h. Let y(l) = -l**3 + 2*l**2 + 1. Let d be y(h). Which is bigger: d or -1\/3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1521 - 143110?\nAnswer: -145031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0012503472 to 5 dps.\nAnswer: -0.00125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -28362 - -28375. What is the closest to -1 in 2\/7, j, -0.11?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 76 + -21. Suppose 3*j - i - 29 = 0, -3*j - 5*i + 64 = j. What is the greatest common factor of j and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1224\/(-28))\/9 + -4 + 9?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = 29*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2 - 94*b + 927. Let g be q(9). Put -58, -4, g in decreasing order.\nAnswer: g, -4, -58","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 402 + -2375\/6. Let w = 6 - r. What is the closest to 0 in -1, 3\/4, w, -0.2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 - 12.99998. Round w to 4 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -1 + l + 10*l - 19*l. What is c(1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 69977.9216 to the nearest one hundred.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, 9, -1.272, -0.5 in descending order.\nAnswer: 9, 1, -0.5, -1.272, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-9)*(z\/z**(-2))\/z*(z\/z**(-1\/6)*z)\/z**(-5))**(8\/7))**(3\/32) assuming z is positive.\nAnswer: z**(1\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 22770030?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 30502922?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -10 + 433 - (-2 - -5*1). Let p be (a\/98)\/(4\/((-56)\/(-3))). Solve 4*v = -3*c + p + 15, v = -3*c + 20 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -457*f + 1819. What is w(4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2418429941 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 64 - 763. What are the prime factors of q?\nAnswer: 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -6*p**2 - p + 2. Let j(k) = 5*k**2 + k - 1. Determine 5*j(l) + 4*v(l).\nAnswer: l**2 + l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 64148?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 - 13*y**2 - 12*y + 17. Let l be d(-12). Let s = l - 135. Find the common denominator of 101\/22 and s\/(-92) - 14\/7.\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 6.94. Let a = n + -4.06. Let s = -3.9 - a. What is the nearest to s in 1\/3, -1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4545107.\nAnswer: 7, 79, 8219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 618 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g + 6. Let h(i) = i + 7. Let j(a) = -6*h(a) + 7*k(a). Suppose -m + 24 = 3*m. Let w(z) = 2*z + 5*z - m*z. Calculate j(w(r)).\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 158, 1271, 4302, 10211, 19958, 34503, 54806?\nAnswer: 81827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f**3 + 1647*f**2 + 36294*f = 0. What is f?\nAnswer: -526, -23, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k + 4. Let p be u(-3). Suppose t = -p + 4. What is the third derivative of 3*c**2 - 2*c**2 + 3*c**t - c**3 wrt c?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-10)\/(-6))\/((-10)\/(-12)). Suppose -7*c + x*c = 5. Let m(r) = 1 + 4*r - 2*r**3 - 2*r + 2*r**2 + 6*r**3. Calculate m(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 6:38 AM?\nAnswer: 6:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 15552 + -5?\nAnswer: 15546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -10342, -16 in decreasing order.\nAnswer: -3, -16, -10342","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -63.19 + 0.19. Let x = u - -63.58. Round x to 1 dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, -1, -5, 5690 in decreasing order.\nAnswer: 5690, -1, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 5\/4 of a millennium?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 66127760 to the nearest integer?\nAnswer: 404","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -22\/5 (b) 1\/7 (c) 0 (d) 2292\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1414\/11 + 27323\/22. Let c = u - 1329. Calculate the common denominator of c and -1 + (-356)\/(-40) - 3.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2*v - 43. Let y be u(-23). Solve 3*l = 3*x + y + 9, 4*l - 21 = -x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67898.34 nanograms in milligrams?\nAnswer: 0.06789834","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 176814 and 66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -2*d - 2 - 2 + 0. Let s(m) = -31*m**3 + 3*m - 2. Let o be s(1). Let u be (4\/(-6))\/(o\/(-225)). Determine y(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + 45?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u**(-2\/21))\/u)\/(u**(-9)\/u)*u**(-1)*u**9)**(-16) assuming u is positive.\nAnswer: u**(-6016\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0, 0.046, 3\/4, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 - a. Let p(f) = -2*f - 4*f**2 + 5*f**2 + 1 + 0*f. Let w = -15 + 14. Let m(o) = -o - 12. Let l be m(-15). Determine l*v(s) + w*p(s).\nAnswer: 2*s**2 - s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - s - 38 = 0, -s - 162 = -2*k - 148. Is 276\/31 greater than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 + (1 - -3))\/(-2). Let m = s + 7. Let n(x) = 1 + 2*x + 4*x - 8 - m*x. Determine n(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 2912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/4 (b) 0.5 (c) 3\/7 (d) 3 (e) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 415286969?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1203 * 0.8\nAnswer: 962.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29707 is divided by 14818.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 240 = 11*l. What is l rounded to zero decimal places?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2 - 14*w - 15. Let d be t(15). Suppose -5*r - 2*v = -4*v - 85, d = -5*r + 3*v + 85. Solve -3*o + r = 5*s - 3, -3*s = 2*o - 12 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2*b**2 - b + 68. What is y(0)?\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (22 + 25 + 2)*(5*n**4 - 4*n**4 + 3*n**4) to z + b*n + v*n**4 + y*n**3 + a*n**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(112) + 2) - (3 + (-2*sqrt(112) - sqrt(112)) + sqrt(112)) - (1 + 5*sqrt(112) + 0 + sqrt(112)*-6))**2.\nAnswer: 224*sqrt(7) + 644","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from {p: 1, k: 2, u: 5, a: 2, r: 4}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 370072743 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + x - 3*u - 37 = 0, -3*x = 4*u - 9. Let s = x - 2. Suppose 2*f = 5*z - 76, -s*f - 57 = -5*z + 2*z. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1561 + -1076. What is the tens digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.063 and -0.3732.\nAnswer: 0.0235116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -46708 divided by -177\nAnswer: 46708\/177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2*u**2 - 6*u + 7. Let z be -3 + 1 + (-15)\/3. Let d(n) = n**2 + 2*n - 2. Let x(w) = z*d(w) - 2*o(w). Find the second derivative of x(f) wrt f.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15*d**2*g**3 + 13*d**2*g**2 - 152*d*g**5 + 381*d*g**2 wrt g.\nAnswer: 90*d**2 - 9120*d*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 879.\nAnswer: 3, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5 and -333751991?\nAnswer: 333751986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -4*p**2 - 22*p - 3. Suppose 534*i - 17 = 539*i + 2*k, 3*i = -3*k - 12. Let g(f) = 5*f**2 + 23*f + 4. Determine i*g(z) - 4*b(z).\nAnswer: z**2 + 19*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/s**(-7))\/s)**(5\/4)\/(s**(2\/37))**(-1\/35))**(1\/4) assuming s is positive.\nAnswer: s**(45333\/20720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 333789 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 115700?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -4*c**2 - 3272*c + 39840 = 0.\nAnswer: -830, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 AM and 5:57 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 330576 (base 13) in base 4?\nAnswer: 10211011320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 955005 is divided by 15497?\nAnswer: 9688","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 5*g = -0*g + 18, -2*g + 4 = -2*x. Suppose 8 = x*l + 2. Solve 2 + 13 = l*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 84286547?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*i**5 + 110*i**4 + 40*i**3 - 400*i**2 - 560*i - 160 = 0 for i.\nAnswer: -2, -2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 870405?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -3*j**3 + 2601*j**2 - 18006*j - 46440 = 0?\nAnswer: -2, 9, 860","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f + 2*f - 2*f + (-4 - 1 + 3)*(-4 + 4 + 2*f) + f - f + f - f - f + f + (1 - 1 + 1)*(2*f + f - f) + 0*f + 3*f + 0*f.\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -180130220 divided by 4?\nAnswer: -45032555","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*x + 9 = 1250 for x.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 - c - 4. Suppose 2*d = -2*f + 30, -2*d + 75 = 5*f - 0*f. Suppose 2*g = -2*i - 5 - 7, g + f = -4*i. Calculate w(i).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) -1 (c) -46318 (d) 8 (e) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, d: 3, i: 1}. What is prob of sequence ddiy?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 13156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.7 * -2.7.\nAnswer: 1.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -3*g**3 + 8*g**2 + 20*g - 47. Let l be r(2). Which is the nearest to -0.2? (a) 2\/9 (b) 0.7 (c) 0.4 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 422063336*j + 21*j**2 - 3 - 2 - 422063335*j + 5.\nAnswer: 21*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 4331?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17647 + -17508. Calculate the remainder when 2779 is divided by h.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tttk when four letters picked without replacement from kkttttttktt?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4667429?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*m + 44*m + 35*m - 121*m + 21.\nAnswer: -3*m + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**4\/7 - 33863*o**3\/7 + 2339721*o**2\/7 - 7691131*o + 412850644\/7.\nAnswer: -(o - 23)**3*(o + 33932)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8147060?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.183 (b) -4 (c) -0.252 (d) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35618 + 35608 + 117*l**2 - 71226 - 13*l**2.\nAnswer: 104*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 9\/(-15) + 13\/5. Suppose -u + 48 = b*u. Is 16 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2*f + 22. Let h be j(0). Suppose -h = -4*b - 10. What are the prime factors of -2 + 1 - b - -49?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 + 7*w**2 - 2. Suppose 0 = b - 3*b + 14. Let p be g(b). Let v be (p\/4)\/(3 - 78\/24). Put v, -24, -4 in descending order.\nAnswer: v, -4, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 3) to base 10\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**4 - 25*f**3 - 10*f**2 + 120*f.\nAnswer: 5*f*(f - 4)*(f - 3)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-3)*4\/(-28)*15?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9215879 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -1912 to the nearest ten.\nAnswer: -1910","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 3*m - 4. Let h(a) = -3*a + 3. Suppose -74 = -34*r + 96. What is r*h(t) + 4*w(t)?\nAnswer: -3*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2.763, -25, 32, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) -1 (c) -2638441 (d) 1.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 11:44 AM?\nAnswer: 1:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29 + 73 + 125*x - 249*x + 127*x.\nAnswer: 3*x + 102","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 7*f**3\/10 - 431*f**2\/10 + 308*f + 530 = 0.\nAnswer: -10\/7, 10, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.55 - 0.45. Let b = -0.5 + 1. What is the closest to m in 3, 2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/((sqrt(6) + sqrt(216))*1) - (sqrt(30)\/(sqrt(30)\/sqrt(3)) + 4).\nAnswer: -4 - 6*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/66 - 1870913\/(-121) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/(-2))\/((-2)\/116). Let u = j + -25. Solve -u*v - v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r**3 - 446319*r**2 + 892647*r - 446325 = 0. What is r?\nAnswer: -148775, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6713*f - 3517*f + 12*f**2 - 3195*f - 120)*(0*f + f - 2*f + (4 - 1 - 4)*(-f + f + f) + f - 2*f + 0*f).\nAnswer: -36*f**3 - 3*f**2 + 360*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 AM and 3:42 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 908*o**2 + 828*o**2 - 1835*o**2.\nAnswer: -99*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = 247 - 237 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 + 1 - (-94)\/2. Let m = -29 + k. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - 5.4. Let t = 941966\/7 - 134196. Let v = t - 370. What is the closest to 1 in j, v, -2\/11?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -3.2. Suppose 3 = -2*z - 2*h + 9, -z + 3 = 3*h. What is the biggest value in z, -1\/2, x?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (11 - (-695)\/(-63))*(-438)\/(-16) and 137\/24?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*3\/(-15) + 38\/60.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*a**2 + 3 + 140*a - 6 + 3 - 130*a.\nAnswer: -9*a**2 + 10*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -2776*n**3 + 4064*n**2 - 11*n + 11. Let c(d) = 555*d**3 - 809*d**2 + 2*d - 2. Let s(p) = 33*c(p) + 6*x(p). Find the third derivative of s(h) wrt h.\nAnswer: 9954","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 146\/8 + 1 - (-3)\/(-12). Let k(t) = t**2 - 18*t. Let a be k(l). Suppose -s + 26 = 3*v + 7, a = s - 4*v. What is the remainder when s is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(-48)*2*-1*(-143)\/((-7436)\/(-936))?\nAnswer: -27\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 338*o - 3*o**3 + 0*o**3 + o**3 - 338*o.\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + 138942?\nAnswer: 138945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2813033955?\nAnswer: 3, 5, 187535597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -253283.67626 plus 7.4?\nAnswer: -253276.27626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 3*j**2 - 11*j + 4. Let b be h(4). Suppose -2*k = -b*k + 60. Is k even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/9)\/((-15)\/(-20))?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1103*q + 267*q - 2469 - 18994 = 815*q for q.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 + -10. Let y(k) = -3*k**3 + 2*k**2 - 2*k. Let q(s) = 12*s**3 - 9*s**2 + 8*s. Give j*q(w) - 9*y(w).\nAnswer: 3*w**3 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 - 10851248.\nAnswer: -10851248.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of 116 and -13050.\nAnswer: -12934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 119124390?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 35 and 616?\nAnswer: 3080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from mcncccm.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**2 + 13004*g - 4122480.\nAnswer: -4*(g - 2895)*(g - 356)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -17055 <= -17055?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*g - 12 = -b - 14*g, -2*g + 8 = -b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*o = 1138 - 423. What is the closest to 2\/5 in o, -1\/7, -2\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + 5*l - 88, -4*l = 4*s - 2*s - 56. Is 35 bigger than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(176) + 0 + sqrt(176))*-3)**2.\nAnswer: 144*sqrt(11) + 6345","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29255*l + 5*l**2 - 29255*l + 11*l**2.\nAnswer: 16*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 - 12*h**2 + 12*h - 7. Let d be q(11). What is the greatest common factor of 16 and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a microgram in nanograms?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**3 + 4093395*h**2 - 4093390*h.\nAnswer: -5*h*(h - 818678)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-10 - (-351)\/36) + (-7313)\/(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 26773*m - 267733. Give i(10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 257623 and 253?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 34678415*o**3*q - 29*o**3 + 281*o**2 + 2*o*q**3 + 3*o + 67 wrt q?\nAnswer: 34678415*o**3 + 6*o*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1\/7 + -1\/42. Let g be (1 + (-112)\/256)*(-4)\/(-6). Let x = -2 - -2. Which is the closest to x? (a) g (b) 4\/3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 39946021 a multiple of 1607?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 12154 to the power of 1\/2, to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 485730 divided by 27.\nAnswer: 17990","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 + -9.693.\nAnswer: -5.693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*u = -k - 52, 3*k - 45 = 86*u - 84*u + 17 for k.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -221 (base 10) in base 8?\nAnswer: -335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -218132*m**2 - 34*m - 2494?\nAnswer: -436264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 - 1. Suppose 0 = -2*j - 5 + 3. Let b(p) be the third derivative of p**6\/24 + p**5\/60 - p**3\/3 - 3*p**2. Give j*b(v) + 4*o(v).\nAnswer: -v**3 - v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2 - 5*p - 7. What is h(-5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -333.977 to zero dps.\nAnswer: -334","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3332 != 3343?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from heeollxlele. Give prob of picking 1 o and 1 e.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/4 + (-180)\/(-40).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8304*h**3 + h**2 - h**2 + 8302*h**3.\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 399841570 to the nearest integer?\nAnswer: 737","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11 - 9 - 2 + 10*d + 3*d**2 to the form b*d + j + f*d**2 and give b.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {y: 3, u: 1, n: 2, o: 3, t: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 - 2*p**2 + 1. Let k(s) = 362*s**3 - 10*s**2 - 2*s + 5. What is -k(m) + 5*t(m)?\nAnswer: -367*m**3 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 24*t + 22*t - 76*t + 25*t. Suppose 0 = -3*m + m. Let o(x) = m*x + 4*x + 5*x. What is 6*o(r) + 11*y(r)?\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r - 2*r + 2*r**2 + (3 + 4*r - 3)*(-1270*r - 1213*r + 2712*r).\nAnswer: 918*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 132201331 (base 4) to base 7\nAnswer: 1030405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d and 1 k when four letters picked without replacement from aaakkdaadkaadd?\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the third derivative of l**6\/30 - 86*l**5\/5 + 5875*l**4\/2 - 250000*l**3\/3 + 96*l**2 - 12*l. Find r such that w(r) = 0.\nAnswer: 8, 125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 - 14 - (-19 - (-1 - 4 - -2))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 3*r**3 + r - 1. Suppose 0 = 2*y - 3*i + 5 + 2, 11 = 5*y + 2*i. Let m be d(y). Solve m*p = p + z - 3, p = -z - 6 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103351 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 121.6 and -2.\nAnswer: -243.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -2*w + 12 - 2, 5*w = 3*i - 6. Solve -3*a = -w*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 1. Let z(m) = -m + 3. Let y(u) = -6*x(u) + 2*z(u). Suppose 0*v - 4*v + 8 = 0. Let s(o) = -4 + 4 + 3*o**v. Calculate y(s(t)).\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.302 and -0.004?\nAnswer: -0.013208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.868561 micrograms to nanograms.\nAnswer: 5868.561","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o = 3*o + 4*o. Suppose o = 7*b - 35. Solve -4*m + 2*i + 24 = 0, -5*i + b = 3*m - 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j - 110 - 100 - 87 - 105 + 402.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 134 + 2. What are the prime factors of k?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(6655) - sqrt(55) - sqrt(495)\/sqrt(9)*-5)\/((sqrt(320) + 1*sqrt(320))*-3 + sqrt(320) + sqrt(320)*2*3).\nAnswer: -7*sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 PM and 8:07 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 + 8*l. Let p be t(6). Let m(b) = -b + 18. What is the least common multiple of m(0) and (20\/(-12))\/((-2)\/p)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8028.\nAnswer: 2, 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4320 a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 165037 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/4 and 41\/68.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 36\/3 - 1802\/153. What is the third smallest value in -17.08, -3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 145*i + 151*i + 14454*i**2 - 460*i + 164*i to the form n*i**2 + j + p*i and give n.\nAnswer: 14454","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 5*m - 251 = 0, 0 = 2*v - 4*v - 4*m + 106. Suppose -v*d + 168 = -47*d. Solve -n + 2 = w + 11, -n - 2*w - d = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3*(2 + 19\/(-9)). Let k(p) be the first derivative of -2 + 0*p + 3*p**2 - o*p**3. What is k(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3924, -3914, -3860, -3744, -3548, -3254, -2844, -2300?\n\"Answer: 3*d**3 + 4*d**2 - 23*d - 3908","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 174 and 13282.\nAnswer: 39846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.354 rounded to one dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*z**4\/2 + 34079*z**3\/2 - 70477*z**2\/2 + 38657*z\/2 - 1137 = 0. What is z?\nAnswer: -2274, 1\/15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 1)*(-l - 3*l + 3*l) + 0*l + l + 0*l + (2 - 4 + 1)*(-2*l - 5 + 5) + 4*l - l - l + 0*l + 4*l - 3*l - 5 - 2*l + 5 + 2 + l - 2.\nAnswer: 8*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 195 a factor of 2297618265?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 446 + -441. Solve -3*c - 8 = m*t, 8*c - 4 = 6*c - t for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10333731 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + 0*i + 4*i - 1)*(168 + 23*i - 168)*((-i + 2*i - 3*i)*(-2*i - 4*i + 9*i) - 3 - i**2 + 3).\nAnswer: -322*i**4 + 161*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -494045 - 5435. Suppose -g = -4*m + 192104. What is m rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 + 11. Let s = -14.2 + 11.2. Let m = -2.2 + 2. Which is the second smallest value? (a) m (b) s (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -33 - -23. Let k = 20 - 12. What is the smallest common multiple of -1 - -3*y\/(-6) and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 AM and 4:06 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-4) - 2*11\/18\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 90\/20*4\/9. Let f(d) = 11*d**3 + d**2 + 3*d - 3. What are the prime factors of f(i)?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of -p**3\/2 + p**2\/2 + 12*p. Determine x(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1681*n**3 + 1913716*n**2 - 546570917*n + 1085500418.\nAnswer: -(n - 2)*(41*n - 23297)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/3 of a year?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6*o**3*z**3 - 7902*o**3 - 94011*z**3 wrt o?\nAnswer: 18*o**2*z**3 - 23706*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 92 - 87. Suppose 0*m - 106 = -4*t + f*m, -2*t = -3*m - 52. Calculate the remainder when 167 is divided by t.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - 0*b. Let s be (b\/(3 - 2))\/1. Suppose x + 4*j - 35 = s, -4*x - 4*j - 53 + 169 = 0. Calculate the remainder when x is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 43 and 0.056.\nAnswer: 2.408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -958072, -6 in descending order.\nAnswer: -1, -6, -958072","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52828 (base 13) to base 10.\nAnswer: 148585","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1120120001222 (base 3) to base 7.\nAnswer: 10056125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.11 in -1\/5, 0, -0.5, 2\/89?\nAnswer: 2\/89","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in three tenths of a century?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pilliil. What is prob of sequence lpl?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-6))\/(-3*(-6)\/(-54)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 13 = -4*g, -4*g = 4*s - 6 - 6. Sort -18, 1, g, 1\/5 in descending order.\nAnswer: g, 1, 1\/5, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116253 is divided by 2192.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/128 and -73\/462962.\nAnswer: 29629568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000761711 rounded to 5 decimal places?\nAnswer: 0.00076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(98) + sqrt(98) + 5*(sqrt(98) - (sqrt(98) + (-3 + sqrt(98))**2)) - (sqrt(1152)*2 + (-2*sqrt(180) - sqrt(180))\/sqrt(10)).\nAnswer: -535 + 185*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(((2*sqrt(19) + sqrt(19))*-1 + -5 + -1)*4)**2.\nAnswer: 1152*sqrt(19) + 6624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6429 + 6478. Suppose -2*x = -39 - 63. Let z = x - b. Solve 2*y + 3*y = -u + 12, 5*u - z = 4*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25833 divided by -327?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((90\/(-24))\/(1620\/216))\/((-2)\/(-416)).\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 - 10*i**2 + i + 13. Let h be w(-10). Suppose -t - f + 6 = 0, 5*t - 9 = 3*t - h*f. Solve 5*u - t = -l, 4*l + 0*u = -3*u + 2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 81705*d - 784 wrt d.\nAnswer: 81705","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i + 2. Suppose x - 6 = -2*x. Let h = -4 + x. Let p be n(h). Solve p*y = -y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 829*m + 1. Suppose s = 5*s + y - 3, 0 = -s - 5*y - 4. Let a be w(s). What is a rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 823.4311 millilitres?\nAnswer: 0.8234311","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 0*f + 3*f + 9 = 0, -2*f = -2*n + 6. Suppose -k = -n*k - 5. Calculate the smallest common multiple of k and 16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -37*f**2 - 23*f - 47. Calculate z(-3).\nAnswer: -311","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 4*x - x = 0, 0 = -5*q - 5*x + 25. Suppose -k = 12 - 14. Suppose -4*i = 2*a - 5*i - 369, -q*i = k*a - 365. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 47249152?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1059*t - 168*t**2 - 56*t**2 + 279*t**2 - 56*t**2 - 1059*t.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18287 + 18286.5. Suppose -s = 5*f - 3*s + 527, -3*f + 3*s - 318 = 0. What is the smallest value in d, f, 2, -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.5, 0.4, -0.04, -1059, 1, 7\/6?\nAnswer: -1059","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2706 (base 8) to base 15.\nAnswer: -688","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4822 to the power of 1\/2, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/6, 7, -333, -0.4, 1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 48 + 198 = 0. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) 2\/11 (c) -1317\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand o + 3 - 2 - 5 + (-1 + 1 + o)*(0 + 4 - 2) - 236*o - 329*o - 117*o.\nAnswer: -679*o - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d + 21. Calculate j(3).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*r**5 + 56*r**4 + 12948*r**3 + 194200*r**2 - 207200*r = 0. What is r?\nAnswer: -37, -20, 0, 1, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, q: 5, s: 2}. What is prob of picking 1 k and 1 s?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 0.029\nAnswer: 0.0145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - 2d4879?\nAnswer: -2d4876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 460 is divided by 208?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -59489\/10 - -5944. Find the common denominator of c and 77\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1171448.73us to days.\nAnswer: 0.000013558434375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*(x**(-4)\/x)\/x))**(-1\/7)*x\/x**11*x**(-1))**(-5\/4) assuming x is positive.\nAnswer: x**(415\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1476 + 1469 = -3*n - 2*y, 2*n - 4 = -y for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4.9, -1\/3, -0.84, 1.6?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -2*b**2 + 14*b - 8. What is h(7)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 - 4 - (4 - 6). Suppose -2*i + a = i - 18, -2*i - 3*a + 1 = v. Suppose -i*r - 2*h = -93, 2*r = 5*r - 5*h - 31. List the prime factors of r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-20))\/((-3)\/(-36)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*p = 29*p - 26*p. Put 3, -4, p, 15 in descending order.\nAnswer: 15, 3, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence orqr when four letters picked without replacement from rrqqoroqqooqqqor?\nAnswer: 1\/104","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-7 - -16) + -90 + 7. Which is smaller: -72 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 5*t = 16. What is the closest to 2 in -4\/3, 3, t?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/(c\/(c**(-3\/2)\/c)))\/(c\/(c**(-1\/6)*c)*c*c)*c\/(c*c\/(c**8\/c)*c)*c**(2\/13) assuming c is positive.\nAnswer: c**(58\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 15) to base 5.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -5*z**2 - 76*z - 214. What is f(-3)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 10\/3 of a day?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xjj when three letters picked without replacement from jjxmmjxjjcjxx?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 + 13*i**2 + 11*i + 5. Let x be m(-12). Let v = -14 + x. Suppose -s = v*s - 80. List the prime factors of s.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, 2\/17, -3\/5, 4?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*w = -154*w + 20062478. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qizqlqgzjljjl. Give prob of sequence jj.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 4*q = 6, 21*r - 24*r + 5*q - 7 = 0. Solve 3*c - 13 = 2*v, -c + 3*v - r = -3 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ftc when three letters picked without replacement from {j: 1, f: 6, c: 1, t: 1}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 + x - 6. Let n be m(0). Suppose 3*k - 2*j + 7*j = 67, -5*j + 25 = 0. Let l = k - n. Solve -t + l = 3*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17787 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2044, -2038, -2032, -2026, -2020?\nAnswer: -2014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + 168 = 7*l. What are the prime factors of (l - 1)*12\/66?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 1.2 (c) -45 (d) 5 (e) 3\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93491.\nAnswer: 93491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 - 4. What is the remainder when 41 is divided by (-3)\/((-60)\/(-16))*s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97*u**2 + 435*u**2 - 59*u**2 + 759*u**2.\nAnswer: 1232*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 3 + 5 + (2 - 2 - 1)*(-4 + 2 + 1) + 0 - 2 + 3 + 2 + 3 - 4)*(9*u**3 - 9*u**3 - 19*u**3) in the form q + c*u**2 + f*u**3 + n*u and give f.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84*p - 3325*p**2 + 6*p**3 + 3325*p**2 - 3*p**3 - 28*p.\nAnswer: 3*p**3 - 112*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 2*g = -22, f - 4*g + 32 = 6*f. Suppose -5*w - 3*s = 2*s - 55, -f*w = 3*s - 44. What is the highest common divisor of w and 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2\/41 + 68\/287. Factor 6\/7*x + t + 4\/7*x**2.\nAnswer: 2*(x + 1)*(2*x + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 - 123 = -3*v. Let p = v - 14. Solve -6*t + 2*t = -p for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7777808 divided by -1944452.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 380976 to the nearest integer?\nAnswer: 617","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 186394012.\nAnswer: 2, 7, 37, 179917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 - 2) + 3 - (-28 + 25). Suppose 83 - 489 = -4*d + 3*v, -5*d + 490 = s*v. Is d a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 4*r**2 + 149*r - 3505. What is i(-53)?\nAnswer: -166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - o = 60000. What is o rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6 - x**3 - 7 - 6 - 6 + 26 + 5*x + x**4 wrt x?\nAnswer: 12*x**2 - 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -8*b**2 - 7. Let t(f) = 3398*f - 6783*f + 3390*f. What is s(t(n))?\nAnswer: -200*n**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nwvwwvnwwpvp. Give prob of sequence vwn.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 2*h = -50, 16*h = 3*t + 17*h - 29. Let z(d) = -2*d**2 - 13*d + 10. Let b(q) = -3*q**2 - 12*q + 11. Let f(y) = -4*b(y) + 5*z(y). Determine f(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 302?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 194018747*k**4 - 203260638*k?\nAnswer: 2328224964*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8836958824?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 49662 and 248?\nAnswer: 198648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 AM and 12:58 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7536 and 11574.\nAnswer: 14536944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24770 (base 12) to base 11.\nAnswer: 34199","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1693, 1692, 1691, 1690, 1689?\n\"Answer: -k + 1694","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + -1. Let f(j) = 8*j + 23. Let y be f(-6). Let r = y - -46. Is o at most r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*w**2 + 3*w**2 - 91*w**2 + 9*w**2 + 7*w**2.\nAnswer: -47*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2220111 (base 3) to base 15.\nAnswer: 964","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 78 + 68. What is the tens digit of (w\/((-35)\/(-7)))\/(2\/236)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -0*r - 2*c + 12, -2*r + 16 = 3*c. Suppose 6*j - r*j = 20. Solve 4*z = 3*l - j, -5*z - 11 = -1 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 + 1)\/((-72)\/16). What is the closest to d in -4, -2, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2240)*2*2)\/(-6*(3*sqrt(30))\/sqrt(6)) + -2.\nAnswer: -16*sqrt(7)\/9 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4244220 and 8892?\nAnswer: 55174860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 AM and 1:09 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5\/(-15) + (-343)\/(-3). Suppose -5*j + 4*w + 52 = -83, -u = -4*j + 2*w. List the prime factors of j.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -12 (b) -2.5 (c) 2 (d) 0.17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 438 is divided by 322?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -200212101 + -2313?\nAnswer: -200221020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 1095186855?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of t**4\/5 - 7*t**3\/10 - 3*t**2\/5 - 35*t - 20. Let z(r) be the first derivative of i(r). Factor z(w).\nAnswer: 3*(w - 2)*(4*w + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 170*m + 34 = 168*m. Let r(p) = p**3 + 17*p**2 - p - 16. Give r(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1020 - -1518. Let h = 957 - u. List the prime factors of h.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(315)\/sqrt(252) + (sqrt(405) + 2*sqrt(405))\/sqrt(9))\/(sqrt(90)\/(sqrt(40)\/sqrt(4)*1)*-4))**2.\nAnswer: 1805\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23.12 - -23.07. Sort -4, 0.21, m, 2 in descending order.\nAnswer: 2, 0.21, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1953.28 - -0.8.\nAnswer: -1952.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 62 = 2*k. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/25*260\/(-78)*2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 135, 2\/13, 7, 38?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2*b**2 + 515*b + 18951. Determine p(-213).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 + -14. Let o(n) be the third derivative of n**5\/10 + n**4\/24 - n**2. Determine o(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rl when two letters picked without replacement from bllbrrrrlbqlua?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*w + 1 + 5*w - 9*w)*(5*w - 7*w - 4*w)*(-2 - 1 + 1 - 7 - 3 + 3 + (-1 + 2 - 3)*(-3 + 2 + 0)).\nAnswer: -462*w**2 + 42*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -2*r**2 + 30*r - 6. Is i(9) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 9}. Give prob of sequence vvvv.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = -4*a - 96, -8*a + 10*a + 20*o = 2*o - 112 for a.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 254, 98, -20, -82, -70?\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/5)\/j**5)\/(j\/((j**(-1)*j)\/j))**(2\/25) assuming j is positive.\nAnswer: j**(-119\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/5 (b) -0.14 (c) 28\/37 (d) 6121\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3807, 7606, 11405, 15204, 19003, 22802?\n\"Answer: 3799*o + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4054, 4053, 4044, 4021, 3978, 3909?\n\"Answer: -u**3 + 2*u**2 + 4053","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1266094?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -7 (b) 0.2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*i - 332 = -352. Are 62\/277 and i equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (11 + -9) - 9 - -5\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 732 + -728. Solve -5*r - 3*t = 0, -k*t + 9 - 29 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -156*y = -4854 + 1890 for y.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 296, 594, 882, 1154, 1404?\n\"Answer: -w**3 + w**2 + 302*w - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d**4 + 6320*d**3 + 5176622*d**2 + 287128200*d - 908145000 = 0. Calculate d.\nAnswer: -1550, -63, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.5 - -1.7. Let q = y + -2.2. What is the third biggest value in -4, q, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-8))\/(670\/80 - 6).\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of -7*p**3\/6 - 4*p. Let k(t) = 14*t + 7*t - 6*t - t - 22. Let v(l) = -2*l + 3. Let x(m) = 6*k(m) + 44*v(m). What is o(x(y))?\nAnswer: 28*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 + -11.9. Which is bigger: 22 or x?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 + 18*t**2 - 11*t - 10. Let x be r(-17). Suppose 4*m = -5*z + 434, 0 = z - 6*z + 4*m + x. Is z a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10578 - 10560. Does 6 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 != 10783677.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 630220735 to the power of 1\/3, to the nearest integer?\nAnswer: 857","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m**2 + 4341*m + 4342 = 0.\nAnswer: -1, 4342","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 210.165018 take away -3.35?\nAnswer: 213.515018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 838864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 5, 1, 88?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 8169.7928 and 1.3.\nAnswer: 8171.0928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n**2 - 3*n - 4. Let i be p(-3). Let v = i + -14. Suppose 4*t - v*t = 2*a - 79, 0 = t + 5*a - 2. What is the smallest common multiple of 7 and t?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 113 + -77. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of 17*v**4\/24 + v**3\/2 - v**2. Let b be u(-18). What is the common denominator of 22 and 2\/(36\/b*(-4)\/6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -80\/23*v + 2\/23*v**2 + 78\/23 = 0.\nAnswer: 1, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2274 - -2268. Put -3, z, 10 in decreasing order.\nAnswer: 10, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*u - 18 = -0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 2 = 5*w, 2*w + s - 360 = -363 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, -1637 in ascending order.\nAnswer: -1637, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(612) - (4 + sqrt(612))) + sqrt(612) + 2)**2.\nAnswer: -24*sqrt(17) + 616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 3*z = -4, -3*b = 4*z + 64. Let f = -11 - b. Let o(u) = 2*u + 1. Is o(f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36974 divided by 1946\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3780, 3218, 2638, 2034, 1400, 730?\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 45*r - 144. What is the least common multiple of x(6) and 196?\nAnswer: 1764","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -772, -3006, -6710, -11884, -18528?\nAnswer: -26642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -45\/598 and 71\/286.\nAnswer: 6578","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 3574 to the nearest one hundred.\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 143 - 140. Solve -4 = -k*v + 4*u + u, -2*u + 14 = 4*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 973 is divided by 115?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 - 8*w**2 - 9*w + 2. Let l be k(-7). Suppose 4*a = -y - 8, -l = -0*y - y + 2*a. Solve -y = -3*b + 7 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74802520?\nAnswer: 2, 5, 13, 97, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(3648) - 1*(sqrt(2793) - sqrt(57)))\/(sqrt(12)\/((sqrt(32)\/sqrt(2))\/sqrt(4))*-5).\nAnswer: -2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8650744 and 1698?\nAnswer: 566","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-576)\/(-18))\/16)\/(12\/(-10)).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**2\/2 + 2595*i - 1346805\/2.\nAnswer: -5*(i - 519)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -4, 1\/4, -0.5, 0.361174?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times 1952997\nAnswer: 781198.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 4*g = 0. Let r(w) = -2 + g + 2*w + 0. Calculate r(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-116 - -128) + (-9 - 78) - ((-3 - 7) + 0)?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -352 (base 10) in base 8?\nAnswer: -540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 + -4. Let d be 2\/1*f\/(-14). Let q = -27 - -53\/2. Which is the nearest to d? (a) 5\/3 (b) 0.3 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1972)\/609)\/(34\/357)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 763545?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are 27153 and -0.3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 59 = c - 1135, 4*c - 5*s - 4776 = 0. What are the prime factors of c?\nAnswer: 2, 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 172254?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 274 + 11?\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.43 - 0.47. Let j = 2.71 + w. Let m = j - -4.19. Which is the third smallest value? (a) m (b) -4 (c) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 739068?\nAnswer: 2, 3, 11, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*n + 2*n - 3*n)*(1 + 1 - 1) + (0 + 3 + 1)*(-95 - 239*n - 238*n + 478*n) as g + u*n and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1038738469 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8803110?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3.5 (b) -3\/4 (c) -5 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -r + 28, 96 = 5*r + 4*m - m. Calculate the highest common factor of r and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-128)\/(-18) - (-94 + 101)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((2*sqrt(171)*4)\/(6*sqrt(9)*1)*4)**2.\nAnswer: 4846\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 48*h**2 - 249*h - 17. Is i(11) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-66)\/121 - (-606)\/22) + -24*(-1)\/4\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (29 - (65 + -35)) + -18.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is j in 4*j**5\/7 - 32*j**4\/7 + 16*j**3\/7 + 104*j**2\/7 - 148*j\/7 + 8 = 0?\nAnswer: -2, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*k - 4*n, 3*k + 3*n - 6 = -0. Let r = k + 0. Solve 2*z - c + 7 = 0, -c + 10 = -r*z + c for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(171) + sqrt(171)*-2)*3)\/sqrt(9))**2.\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z**2 + 0*z**2 - z**2)*(-z + 21*z**2 - 18*z**2 - 3*z)*((-z - z + 0*z)*(-1 + 6 - 4) + 5*z - 3*z - 5*z).\nAnswer: 15*z**5 - 20*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence buub when four letters picked without replacement from bbbbbbbbbuububb?\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 148 + -18. Suppose 11*y - 3 = 10*y. Suppose 4*d - l - 131 = -0*d, -30 = -d + y*l. Calculate the remainder when o is divided by d.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6108 or 1257\/28?\nAnswer: 6108","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, e: 9, r: 4}. Give prob of sequence eeek.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10742974.\nAnswer: 2, 11, 488317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*b - b + 1 + 12*b)*(-3 - 3 + 7 + (-3 + 3 - 2)*(-1 - 3 - 2)) to the form u + k*b and give u.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a second in milliseconds?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/((r*r\/r**(-13)*r)\/r))**30*(r**(-3\/8))**(1\/20))**(18\/13) assuming r is positive.\nAnswer: r**(-561627\/1040)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4*60\/(-5))\/((-66)\/(-44)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44 = 17*z + 129 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14143 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2\/3 + 47276*f - 838132566.\nAnswer: -2*(f - 35457)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26989107?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 9*l**3 - 2*l**2 + 3*l - 2. What is the remainder when w(1) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*n**2 - 53*n**2 - 114*n**3 + 508*n**3.\nAnswer: 394*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l + 23. Let b(a) = 2. Determine 18*b(s) - 2*z(s).\nAnswer: 2*s - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 2\/25 of a tonne?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -663*o**4 - 2*o**2 - 5*o - 65. Let l(z) = 1988*z**4 + 7*z**2 + 18*z + 196. Let r(a) = 2*l(a) + 7*n(a). Find the second derivative of r(s) wrt s.\nAnswer: -7980*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(-3) + (-352)\/(-24). Is (-2592)\/(-10) + (-3)\/z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6309259 and 154?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 195866 + -194645.33. What is g rounded to the nearest 10?\nAnswer: 1220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z**4 - z**5 + 4*z**4)*(3172 - 1103 - 744).\nAnswer: -1325*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23 - 22.5. Suppose -4*k + 5*w = -2, 4*k + 14 = 2*w - 5*w. Suppose -8*l + 2 = -6*l. What is the nearest to l in 1\/3, q, k?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 l when two letters picked without replacement from hlkkrhel.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 308 = 23*t - 18*t - 32*o, -2*o - 5082 = -0*t - 4*t - 4930 for t.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*p**3 - 3*p**2 + 4*p**2 - 2*p**2)*(159 + 132 - 361) - 3*p - p**3 + 3*p + 1 - 2*p**3 - 1 as n*p + b + q*p**2 + r*p**3 and give r.\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(-7) + 10332018\/126. Round q to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2 - 2228*i - 113974.\nAnswer: 2*(i - 1163)*(i + 49)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1707*x**2 - 1805*x**2 + 234*x**2.\nAnswer: -3278*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/10 - (15376\/(-20) - -6). Suppose 5*m + 143 = d. What is the units digit of m - (-2 + 1)\/(4 - 5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-98)\/10 + ((-88)\/(-10) - 9). Let l(j) = 4*j**2 + 14*j - 20. List the prime factors of l(n).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2816 and 2816?\nAnswer: 2816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, -3737, 2, -2, -260, -4 in decreasing order.\nAnswer: 2, -2, -4, -29, -260, -3737","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - 8. Let k = -7.8 - j. What is the closest to 0 in k, 3, 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19070?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 67957954?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 308800 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 142.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 65\/(-130) + 10\/(-4). Let p(q) = 11*q**3 + 7*q**2 + 3*q + 6. Let t be p(b). Is t bigger than -236?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 135 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 18038 - 7339 = -2*c, q - 25357 = 3*c. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0245 times 22.6776?\nAnswer: 0.5556012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.9 - -0.8. Let w = -0.0453 - -64.0453. Let g = w + -65. What is the closest to h in -2, 1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 27035 + 1360?\nAnswer: 28395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 404 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - w - 26 = 4*g, -30 = 5*w + 5*g. Let i(q) = -2*q. Let b be i(w). Differentiate -4 - 5 - 1 + 5*r + b with respect to r.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/5))**8\/(p\/(p\/(p**(-5)*p))*(p*p*p**(-1\/8))\/p) assuming p is positive.\nAnswer: p**(253\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -299*p - 3022 + 20272 + 28077 = 222*p for p.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -265 - -232. Let p = -229262\/23635 + 1\/9454. Calculate the common denominator of p and c\/110*(-1430)\/72.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by 4525369.\nAnswer: 10\/4525369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 - 6. Let t = 9 - l. Which is the second biggest value? (a) -2 (b) -0.4 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 4*k + 8 = 0. Let d(u) = 0 + 3 - k*u - 7. Let i be d(-5). Solve -4*n - i = -26 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -j - 5*l, -2*j = 2*j + 2*l - 2. Suppose -k = -j - 4. Suppose 0 = -m + k + 1. What are the prime factors of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6650 and 45373615.\nAnswer: 665","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 672, 2, 174, 89 in ascending order.\nAnswer: 2, 89, 174, 672","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1574, -3176, -4782, -6392, -8006, -9624, -11246?\n\"Answer: -2*x**2 - 1596*x + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 - 2*c**2 + 7*c - 4. Let x be k(6). Suppose 2*a - x - 10 = 0. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 717277, 717333, 717389, 717445?\n\"Answer: 56*a + 717221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20.9 - 49.8. Let n = 65 - 36. Let s = w + n. Are -13 and s equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.111175 and -2433.\nAnswer: -2433.111175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1924.\nAnswer: 2, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.33596724 to one decimal place.\nAnswer: -3.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 3*j**2. Let a(k) = -556496*k. What is b(a(v))?\nAnswer: 929063394048*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 - -7. Let c be (-8)\/14 + 1 - (-1674)\/63. Let o = c + -22. Sort b, -2, o in descending order.\nAnswer: o, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 8 - 7 = 0, -2*i - 11 = -q. Let t be (2 - q - -13) + -5. Solve s = r + 1, 3*s - t*r + 3*r = 3 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21)\/((-21)\/7))\/1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -2*y**2 + 12*y + 123. Determine d(-7).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 49\/14 - (-2)\/4. Solve -3*k + 5*v = 31, 3*v + d = -4*k + 11 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*u + 3*u + 2*u)*(27 - 48 + 35) as o*u + w and give o.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.033 + -0.032. Let h = i + 0.1. Let x = h + -0.03500038. What is x rounded to seven decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-413)\/(-118))\/(-7*1\/(-4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(-6) - -2)*2*-11.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -61*m - 1. Let u be c(-2). Calculate the highest common factor of 11 and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-264)\/132)\/((-4)\/(-6)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of m**3\/2 - 10*m**2 - 4*m - 5. Let j(f) be the first derivative of q(f). Differentiate j(g) wrt g.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 6:15 PM?\nAnswer: 5:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12.78 - 13.78. Is 2.02 smaller than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 188 + -194. What is the biggest value in -0.2, f, 224?\nAnswer: 224","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63528511 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 732.7 and 19?\nAnswer: 13921.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -3.3, 2, -18.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2028.609 micrograms to nanograms.\nAnswer: 2028609","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1508*s**4*y + 30*s**2*y - 10*s*y wrt s.\nAnswer: 36192*s*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*l + 29 - 2*l + 32 + 46*l - 64.\nAnswer: 82*l - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*q**4 + 898*q**3 - 889*q**3 + 20 + 10 - q wrt q.\nAnswer: 24*q**2 + 54*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, i: 1, f: 1, z: 1, n: 1, r: 2}. Give prob of picking 2 f and 1 i.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/22 and 12\/77.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 26 = 4*o - 14, -16 = 4*x. Let j(f) = 5*f**2 + 7*f + 2. Is 18 a factor of j(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (-24 + (-3 + -1 - (-204 - -189))).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * -50.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 8*c**3 + 6*c**2 - 13*c - 9. Let m(d) = 15*d**3 + 11*d**2 - 25*d - 17. Give 6*m(x) - 11*p(x).\nAnswer: 2*x**3 - 7*x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a hour in minutes?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = 2*h - 4, -n + 0*h - 8 = -4*h for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 q when two letters picked without replacement from {d: 2, q: 6}.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of -s**8\/24 + 23*s**5\/30 + 1471*s**4\/24 - 34*s**2 + 21*s. What is the second derivative of b(g) wrt g?\nAnswer: -280*g**3 + 92","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(110)*2 + sqrt(110) + sqrt(110))\/(sqrt(250)*-1 + sqrt(10)).\nAnswer: sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2*k**2 - 3*k + 4. Let t be b(1). Suppose -t*f - 374901 + 1787897 = -4*h, f - 470997 = 3*h. What is f rounded to the nearest ten thousand?\nAnswer: 470000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mamx when four letters picked without replacement from aabmabxaajaaxa?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*j**2 - 20 + 34 - 15.\nAnswer: -50*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-332 - -344) + 0 + 1?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -277 + 279. Calculate the highest common divisor of 38 and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c - 15 = -4*c - 11 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 + 4 - 5)*(2*i + 2*i**2 - 1 + 1 + 1).\nAnswer: -32*i**2 - 32*i - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.97 + 6. Let t be 17\/(-12)*374\/(-1785). Let k = 1\/90 - t. Sort 2, k, g in decreasing order.\nAnswer: 2, g, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/21792 and 47\/18630.\nAnswer: 67664160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 852 by -68168.\nAnswer: -213\/17042","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 171006019 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 264\/(-44) + (-2)\/(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 80\/162731?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 36625 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -1\/56 (b) 0.3 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, 4, 3, 9 in ascending order.\nAnswer: -3, 2, 3, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -3*a - 95. What is i(-29)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 12920*o + 594327. Calculate y(-46).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4161 - -4160. What is the smallest value in 3, -0.2, 5\/32, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 10101000 (base 2) in base 15?\nAnswer: b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 9:59 PM?\nAnswer: 12:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-three thirds of a year?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, a: 7, p: 2, n: 4, i: 1, k: 3}. What is prob of picking 2 p and 1 n?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(32)\/sqrt(4))**2 + sqrt(8)*3) - (sqrt(16) + sqrt(144)*1)\/sqrt(8)*-3)*-2*-4.\nAnswer: 64 + 144*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9298153, -9298166, -9298189, -9298228, -9298289?\nAnswer: -9298378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.1 minus -149469032?\nAnswer: 149469034.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*j + 1069 - 939 = 0 for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-11 + 6 - -4 - -2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a week in minutes?\nAnswer: 12096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -5*p + 0*p - 3*p + 6*p. Let a(t) = 9*t. Determine a(n(s)).\nAnswer: -18*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 34\/53 and -14\/9.\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 + 4*r**2 - 34*r - 13. Let l be w(-8). Solve -4*a - 4*d = -l*d - 17, -2*d = -a + 2 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*i + 4. Suppose i*d + 5*w = -0*w + 38, 0 = -2*d + 3*w + 19. Suppose d = -q - 10. Round q to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of 82*x**3 + 0*x + 0*x**2 + 26 + 189\/4*x**4. Find the third derivative of f(y) wrt y.\nAnswer: 1134","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1670 to the power of 1\/2, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -3. Let x(s) = -s. Let c(o) = -9*o. Let j(a) = f*c(a) - 6*x(a). Let v(u) = -3*u**2 + 4*u**2 + 0*u**2. What is v(j(d))?\nAnswer: 9*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rlx when three letters picked without replacement from ggxlhlxhgxrlaxhghgxh?\nAnswer: 1\/456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 - (-2 - 90) - 4. Let x = q + -30. Does 7 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 44074, 44079, 44086, 44095, 44106, 44119?\nAnswer: 44134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 - 5*s**2 - 5*s + 2. Suppose 2*q = -2*j + 4, q + 2*q + 2*j = 6. Let n(u) = 2*u**3 + 5*u**2 + 4*u - 3. Let x(m) = q*n(m) + 3*o(m). What is x(6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-5*(-1 + (5*(sqrt(1573) + 2) + sqrt(1573) - (-5 + sqrt(1573) + 1 + sqrt(1573) - sqrt(1573)))**2).\nAnswer: -395200 - 15400*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (s - 7*s + 0*s)*((0*s - 3*s + s)*(2*s - 3*s - s) - 4*s**2 + s**2 + 5*s**2) to q + j*s**3 + w*s**2 + i*s and give j.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 72 = 2*j + 2*j, -4*j + 3*s + 80 = 0. Let u be -6*((-6)\/(-15))\/((-204)\/425). What is the remainder when j is divided by 20\/(-10) + u + (6 - -1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 290557 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -122 + -4014114203?\nAnswer: -4014114330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -33 - -7 - (-1824)\/72. Suppose -5*v + 25 = 0, -2*b = 7*v - 3*v - 20. Let h be (-2 - (b - 1))\/1. Which is bigger: l or h?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*w + 86*w = -4*d - 551, 2*d - 27 = 3*w for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.05 + 3.71. What is g rounded to 1 decimal place?\nAnswer: 5.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/a**(-11)))**(-21) assuming a is positive.\nAnswer: a**231","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 19207 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.52697 - -0.02697. Which is the closest to 2? (a) 11 (b) 5 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.161, 50, 0.2, 11, 0.05?\nAnswer: -0.161","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 123 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 g when two letters picked without replacement from ggvrlmlgg?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*2\/(-4) - -2. Suppose 294*n - 290*n - 8 = 0. Find q such that -1\/2*q**2 + n*q - d = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 201 (base 6) to base 16\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/23))**(-27) assuming h is positive.\nAnswer: h**(54\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2 - 1)*(1 + 82*z + 10 - 81*z) - 3*z + 6*z - z + (z + 3*z - 6*z)*(0 + 1 + 1) + 4 - 4 + z - 2*z + 0 + 0 to the form k + y*z and give k.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2212*m - 2194*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*q - 16 - 62 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*c - 8 = 18*c. Let t = 6 - 0. Suppose 5*a - 1 + t = 0, -g + a = 0. Sort g, 2, c.\nAnswer: g, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68491*p - 3256 = -68417*p for p.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, s: 7, h: 4}. What is prob of sequence uhu?\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, b: 7}. What is prob of sequence dbb?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -5 (b) -13.1 (c) 3 (d) -40\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 + 56. What is the highest common factor of x and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a day in minutes?\nAnswer: 9504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(1 + -2*sqrt(51)\/sqrt(3)) + -4)**2.\nAnswer: 16*sqrt(17) + 276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9817014607 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4.6? (a) 5 (b) 0.2 (c) -0.4 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -172406701*m**3 - 913589149*m**2 wrt m?\nAnswer: -1034440206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -5*d + 3*q + 22, d = 2*q + 8. Let k(v) be the first derivative of -8\/5*v**d + 8\/25*v**5 + 3 + 18\/5*v**3 - 8\/5*v - 19\/10*v**4. Solve k(f) = 0 for f.\nAnswer: -1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 + (-12)\/10*-5. Put -4, l, 0 in ascending order.\nAnswer: -4, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 - 2*x**2 - 4. Let b be g(3). Suppose -5*d + t - 15 = 0, 2*d + 4*t = 11 + b. Suppose 0 = 2*u + 4. Is u != d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 3:38 PM?\nAnswer: 7:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1292 = 65*x - 61*x. Is 16 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 155 or 158?\nAnswer: 158","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0984 and -48.65?\nAnswer: 4.78716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 90 and 1863?\nAnswer: 18630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 7:43 AM?\nAnswer: 9:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o - 13. Let x be m(6). Let i be (x\/(-3))\/(1\/(-15)). Which is the second smallest value? (a) -0.1 (b) 1 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/4*(-4)\/24. Let v(o) = -26*o + o**3 + 4282*o**2 - 4272*o**2 - 12 - 13. Let l be v(-12). Is l equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -10480 and -10483 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (-8 + -2 + 1 - -10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(44) + 2)**2 + -2)*-3 + (-4*(sqrt(1100) - sqrt(1100)*3)**2 - (sqrt(1100) - (-4 + 2 + sqrt(1100) + sqrt(1100)))**2).\nAnswer: -18837 + 16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -23 + 78 + -39 - -79?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(405) + sqrt(405)*-2 + 1 + sqrt(405) - (5*(sqrt(405) + 1) - sqrt(405)))**2*-4 - (5 + sqrt(405)*-2 + (-1 + 1 + sqrt(405))**2 + -5)).\nAnswer: 5670*sqrt(5) + 131945","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 306700, 306758, 306854, 306988?\nAnswer: 307160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -340 (base 6) in base 15?\nAnswer: -8c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 135 - 44 - 45 - q - 9*q - 52 + 26*q.\nAnswer: 16*q - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 - 10*d + 5. Calculate j(5).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1\/3 (b) 0.2 (c) -4 (d) -12.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 344362, -400, -5 in increasing order.\nAnswer: -400, -5, 344362","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 707.296 rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 308729507 is divided by 785?\nAnswer: 782","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -2*v**4 + 256*v**3 - 1574*v**2 - 14520*v = 0.\nAnswer: -5, 0, 12, 121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*c - 26*c**2 + 9*c.\nAnswer: -26*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -148\/283341?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = 42*c - 37*c. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.04 - -0.44. What is the closest to -1 in -77, -2, a?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6343888?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(2\/(2\/3)). Let v be 4*((-42)\/7)\/24. Let m = -5 - -4.6. Sort v, m, f in decreasing order.\nAnswer: f, m, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28419*q**3 - 52614*q**3 + 26599*q**3.\nAnswer: 2404*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6.6 + 9. Let g = d + -1.9. What is the nearest to -1\/6 in -4, g, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(2\/63)*f**10)**27 assuming f is positive.\nAnswer: f**(2073\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uy when two letters picked without replacement from dnmufyyu?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 8.33 times 96\nAnswer: 799.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -2, 180, 0, -1.\nAnswer: -2, -1, 0, 9, 180","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5390 + 13*x**2 + 5392 + 78*x**2)*((-x + 0*x - x)*(0*x - 2*x - x) - 2*x**2 - 2*x**2 + 6*x**2) to s*x**4 + y*x**3 + t*x**2 + d*x + i and give t.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -221 - -213. What is the common denominator of -86\/21 and (-212)\/(-48) - (-4)\/j?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 962 divide 23200457?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2045851 = -67*w + 1359156. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 3*l - 35 = 0. Let z(b) = 3*b - l + 3*b - 4*b - 4*b. Let d be z(-6). Let s(y) = -3*y + 4. Let p(k) = -k + 1. Calculate d*p(i) - s(i).\nAnswer: -2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 - 2*c**2 - c. Let x be u(-2). Solve i - 4 = x*k, 2*k - 4*i + 10 = -0*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2110 + -2107. Let n be -3*((-16)\/(-21))\/4. Which is the second smallest value? (a) y (b) 0 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-27)\/(-25) - (-16992)\/(-2400)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + 3*f - 17, -3*n = -f - 0 - 9. Let v(w) be the first derivative of 3 - w - 4 - 3 - w**n + 1. What is the derivative of v(b) wrt b?\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 4 + 5*n - 4. Let w(m) = -6*m**2 + 5*m + 5. Let j = -15 - -20. Let y(r) = 7*r**2 - 6*r - 6. Let f(u) = j*y(u) + 6*w(u). What is f(b(d))?\nAnswer: -25*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the second derivative of -j**5\/80 + j**4\/8 + 5*j**3\/8 + j**2 - 148*j. Factor s(m).\nAnswer: -(m - 8)*(m + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, 106, 269, 498?\nAnswer: 793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3071 + -3071.1. Which is the closest to k? (a) 25 (b) -3 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27, -6, 7, 6, -15?\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 73858, 147583, 221304, 295021, 368734, 442443?\n\"Answer: -2*z**2 + 73731*z + 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 + 9. Let q(p) = -4*p**3 - 4*p**2 + p - 1. Is q(w) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fxfxxzvxxgff. Give prob of sequence vzg.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w + 1 + 3*w - w.\nAnswer: w + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*g + 7*g + 2*q + 2, q + 11 = 3*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 84 and 990206.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**2\/7 + 23472668*j\/7 - 33532440.\nAnswer: 4*(j - 10)*(j + 5868177)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4742 + 4752. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -91 + 86.63. Let l = 4.4 + s. Which is the biggest value? (a) -3 (b) l (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 4 - 9*l**2 - 10*l + 11 + 13*l**2. Let f be g(5). What is the highest common factor of f and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(2\/17))**33)**(-15)*(d**12*d\/d**7)**33 assuming d is positive.\nAnswer: d**(-6039\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 88682318 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*5\/(-10)*2\/(-15).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + -27. Let u = b - -23. What is the second derivative of 0*i - 5*i + 19*i**u - 13*i**2 wrt i?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 143*p**3 - 60 + 27*p**3 - 21*p**2 + p**5 + 63 wrt p.\nAnswer: 60*p**2 + 1020","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 a factor of 132539240?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lg when two letters picked without replacement from {l: 7, g: 1}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b**2 + 3*b**2 + b**2 + 7*b**2.\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 151.208ml to litres.\nAnswer: 0.151208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 2:17 PM?\nAnswer: 11:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 205?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -50\/2799237 and -25\/154.\nAnswer: 61583214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(1216) + -1 + sqrt(1216))**2.\nAnswer: -4865 + 32*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 32 - -1d3d?\nAnswer: 1d70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15919588 and 230.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 - 7*v - 29. Let o be q(10). Suppose o = f - 2. Suppose 78 - 12 = 3*m - 3*w, w - 58 = -f*m. Is m a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402708 rounded to the nearest 10000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 <= 34\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, -68, -3, 7, 3, -24 in decreasing order.\nAnswer: 15, 7, 3, -3, -24, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -599*p + 8 = -601*p - 3*b, -5*b = -5*p + 30. Find t such that 16*t + 192 + 1\/3*t**p = 0.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*((-2412)\/96 - -17))\/(30\/96)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-1))\/((-31)\/(-217)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14511*z**6 - 3*z**4 - 712*z**3 - 99780313*z**2?\nAnswer: 1741320*z**3 - 72*z - 4272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1175*p + 8400 = 1575*p for p.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**2\/2 + 57201*o\/2 - 57207.\nAnswer: 3*(o - 2)*(o + 19069)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that l**3\/4 - 289*l**2\/2 - 407469*l\/4 - 203445\/2 = 0.\nAnswer: -411, -1, 990","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5.2 and -40.\nAnswer: -45.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 - 7802882.9256.\nAnswer: -7802883.4256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 6937.57*-0.03\nAnswer: -208.1271","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -734, -735, -736?\n\"Answer: -h - 733","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oaaoaaofofaaaoaoa. What is prob of picking 3 o and 1 a?\nAnswer: 9\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31 is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1404709 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -282 - -281.746. Let z = b + -3.746. Suppose -3*t + 8 = -5*s, 2*t = -0*t + 2*s + 8. What is the third smallest value in t, -1, z?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3127 = 1798*j - 4065 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59091066.\nAnswer: 2, 3, 61, 17939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*y**3 - 232*y**2 + 232*y**2)*(9 - 12 - 12)*(-3 + 4 - 4)*(0*y + 0*y - y).\nAnswer: -855*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -133 - (-3 - 2 - -2). Let a = z + 131. Suppose -g - 1 = 4*j, -4*g = j + a - 12. Solve -4*k = s + g, 2*k = 2*s - 2*k - 6 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1373 (b) -10 (c) -5 (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 19 - 4. Suppose -120 = -d*y - 2*y. Is 2 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 80\/(-30) + (-32)\/(-3) + -12\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5714?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 10 = s. Suppose 0 = -4*g - 4*y + s*y - 8, 10 = 5*y. Which is bigger: g or -9?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1476175663 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - -7. Let h be (c\/12)\/((-5)\/(-120)). What is the smallest common multiple of ((-5)\/3)\/((-3)\/h) and 16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from slsssssslslllolll. What is prob of sequence ls?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14.5 + -8. Let c = 6.5 - w. What is the biggest value in c, -4\/5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 5 = -4*m + 7, -4*m + 32 = 3*x. Suppose -x*g = -3*g - 3*k - 20, -104 = -3*g - 2*k. Does 8 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, y: 1, t: 1, i: 1, v: 1, u: 2}. What is prob of picking 1 t and 1 a?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1439.3 and 5.\nAnswer: 7196.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 3*m**2. Let b(p) = -921*p - 479776 + 479776. What is b(g(w))?\nAnswer: -2763*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h**2 - 18*h**2 - 23*h**2.\nAnswer: -42*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -3*d - 11. Let n be b(-5). Let l be -2*(-42)\/(2\/(-2)). List the prime factors of (2\/(-3))\/(n\/l).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 - 1 - (92 - 84 - 16).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, x: 4, z: 1, m: 1, v: 2}. What is prob of sequence dm?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -3*g + 5. Suppose 3*u - 4 = -6*b + 2*b, 3*b = -3*u. Let v(f) = 7*f - 2*f - b - 1 - 3. Let w(k) = 8*l(k) + 5*v(k). What is w(-8)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r - 7. Let k(f) = -2*f - 7. Let v(o) = b(o) - k(o). Let g(q) = q - 1. Let d(m) = -11. Let i(c) = -d(c) + 11*g(c). Determine v(i(j)).\nAnswer: 11*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 27, 3, -19, -39?\n\"Answer: j**2 - 27*j + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 - (-15 + (10 - 16))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.24513 times -1166?\nAnswer: 285.82158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -431 = -21*x + 3*x - 3*t - 1472, 4*x = 2*t - 218 for x.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 54608.\nAnswer: -1\/13652","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v**5 - 138*v**4 + 671*v**3 - 798*v**2 = 0. What is v?\nAnswer: 0, 2, 3, 133","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -d**3 - 2*d**2 + 11*d - 111 - 106 + 220 as g*d**2 + m + s*d**3 + w*d and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23 - 12. Let x = 10 - -1. Let b = t - x. Solve 5*s = -b + 5 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 + 1463670*i + 11709304. Give p(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1583*i**3 + 1568*i**3 - 3140*i**3.\nAnswer: 11*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.505 + -3.505. What is the nearest to -0.1 in s, 6, -22?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7.9 - 8. What is the third smallest value in 1\/8, l, -5?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4888)\/416 - (-84)\/(-144).\nAnswer: -37\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3495 divided by -5\nAnswer: -699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = g - 7*g. Suppose -6 = -d - 5*r, -3*r + 2*r = -3*d + g. Is ((1\/1)\/d)\/(5\/240) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7930, -59530, -198584, -468820, -913966, -1577750, -2503900?\nAnswer: -3736144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 (base 3) in base 14?\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*a - 77 + 99 = 0. Solve 4*x + 12 = -2*r, -3*x - a*r = -x + 8 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 671*f**2 + 336*f - 11. Let s = -12 - -1. Let v(l) = 134*l**2 + 67*l - 2. Let k(y) = s*v(y) + 2*t(y). What is the second derivative of k(p) wrt p?\nAnswer: -264","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.2 + 0.7. Let c = 0 - -3. What is the third smallest value in -0.3, c, n?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*t**2 - t**2 - 2*t + 2*t.\nAnswer: 27*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -3*b + 19. Is o(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 - 10)*(-8 - 9*t**5 + 8) + (57*t - 8*t**3 - 57*t)*(-3*t**2 + t**2 + 0*t**2).\nAnswer: 124*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 752 = -4*h - 774, -h = 5*n + 34 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -68, -3, -11 in ascending order.\nAnswer: -68, -11, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 5161041?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*q**2 - 3*q**2 + 3*q**2)*(1065 + 1662 - 4698) to the form j + a*q + i*q**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-19.42\nAnswer: 9.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 28*z**2 - 6*z + 17. Suppose -2*f + 5*j - 13 = 0, 3 = -2*f - 8*j + 11*j. Let b(k) = -9*k**2 + 2*k - 6. Give f*v(h) + 17*b(h).\nAnswer: 15*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -1967*m**2 - 533057*m - 6. What is v(-271)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2 - 2256*f + 20142.\nAnswer: 2*(f - 1119)*(f - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15 and 165?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -237 = -0*u - u + 4*o, 3*u + 2*o = 641. Suppose 61 = m + 3*x - 16, 2*x - u = -3*m. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 38372978?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.4 + 0. Let f = c + -0.7. Let z(o) = -o**2 - 8*o - 8. Let j be z(-6). Put f, j, -4 in decreasing order.\nAnswer: j, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-5) + (-183)\/9. Let o = w - -1187\/45. Let s = o + -7. Which is bigger: s or -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14 and 3129?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16593131.\nAnswer: 37, 277, 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -689*b + 1304. Calculate t(2).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/87 greater than or equal to -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 11:22 PM?\nAnswer: 8:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, 2, -95, 4, 0.1.\nAnswer: -95, -19, 0.1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, t: 1, u: 1, g: 2, e: 1}. Give prob of picking 1 t and 2 v.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*t = -82*t + 1985. What is the tens digit of t*(-5)\/(20\/(-8))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 73.01729 minutes to microseconds.\nAnswer: 4381037400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/8*160\/(-150)*2\/(-4).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*u**2 + 2*u**2 + 7*u**4 - 125*u**3 - 120*u**3 + 243*u**3 + 2 + 0 in the form h*u + s*u**2 + k + w*u**3 + m*u**4 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 53840012?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*4638.\nAnswer: -2319","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.39702 rounded to 2 dps?\nAnswer: 25.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a kilometer in meters?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*h + 10 - 10)*(2*h**2 - 5 + 3 - 4*h**2) to the form j*h**2 + v*h**3 + u*h + q and give v.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5457 + -5462.046. Let j = u + 0.046. Which is the nearest to -1? (a) 2\/9 (b) j (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7349 - 58709\/8. Find the common denominator of 15\/8 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of y**3\/6 - 13*y**2\/2 + 133*y. Suppose -3 - 47 = -10*o. Give j(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.75601 rounded to 2 decimal places?\nAnswer: -20.76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 14 * -8\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-14)\/(-5))\/(-7)*(-775)\/(-672) and -71\/6?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2070 + 7979 = -311*v for v.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6.84*39.7.\nAnswer: 271.548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 + 12)\/(-3*(-6)\/6). Put -2, -101, v in ascending order.\nAnswer: -101, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -5*i - 10. Let q be b(-8). Suppose 0 = 41*p - q*p - 44. Solve 3*r = -5 - p for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11965 to the power of 1\/2, to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccqccccckkkqck. Give prob of picking 1 c and 1 q.\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - -2) + -8 + -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 779*f**2 + 266510706 - 266510706.\nAnswer: 779*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the second derivative of -v**4\/12 + v**3 - 4*v**2 + 3*v - 60. Let l(r) = 0. What is r?\nAnswer: 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2242, -0.2, -0.08?\nAnswer: 2242","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(9) - sqrt(9)*2)*2)\/(sqrt(432) + sqrt(432)*2).\nAnswer: -sqrt(3)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (387\/43)\/(2\/(2\/3))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 1083980160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3296198 is divided by 824046.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 992861814?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 859431773 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.258896 - -124\nAnswer: 124.258896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 49? (a) 0.169 (b) 5\/47 (c) 3 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 2 = 17. Let a be 1\/6 - 1\/t. Let m = 50 - 49. Which is smaller: a or m?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -4*z - 2. Let x(n) = -n**3 + 4. Let b be x(0). Suppose -2*k - 8 = b*g, -2*g = 3*k + 3 + 1. What is the lowest common multiple of q(g) and 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13265, 4, -5, 15, -205 in increasing order.\nAnswer: -205, -5, 4, 15, 13265","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 224?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -35 + 34.5. Suppose 5*c = -5*u - 40, -c + 34 = -6*c - 3*u. Put 4, c, q in ascending order.\nAnswer: c, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1578, -1588, -1604, -1626, -1654, -1688, -1728?\nAnswer: -1774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6077 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -73738*j**3*k + 25*j**2*k + 1518 wrt j.\nAnswer: -442428*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/20)\/(-1)*2. Let g = 7134 - 7133.6. What is the biggest value in 0.3, g, k?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -52*l - 96*l**2 - 96*l**2 + 3 + 289*l**2 - 93*l**2 in the form f*l**2 + p*l + m and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + -34014205?\nAnswer: -34014204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9a (base 16) to base 2.\nAnswer: -10011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 - 8*r**2 - 4*r + 8. Determine q(-7).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 291*l + 576 = 339*l for l.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.9 - -0.021.\nAnswer: 1.921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 5*b + b**3 - 3 + 21*b**2 - b**2 - 6*b**2 - 4*b**2 - 5*b**2. Determine g(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11130103 - 2?\nAnswer: -11130111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 142\/9 != 17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of -3*r**6\/40 - r**5\/60 + r**2. Let a = -57 - -56. What are the prime factors of b(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3 or 424\/253?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*2\/4*6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t - 423985 + 86033 = -39*t. What is the thousands digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hrtrrmtthth. What is prob of picking 1 t and 1 h?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k - 6. Let d(n) = 2. Calculate 7*d(c) + 2*g(c).\nAnswer: 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 158 = -i + 2*s, -12 = 3*s. Calculate the common denominator of ((-1)\/2)\/((-9)\/i) and 1\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 2*a - 5*a - 4 = 2*a + 28 + 38, -74*a + 56 = -10*v for v.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-115 + 7)*((-20)\/(-8) + -2). Let k be (-14 + 2)*(-18)\/c. Sort k, 2, -3 in descending order.\nAnswer: 2, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 476962 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pipkkkpp. Give prob of picking 1 i and 1 p.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -222202 (base 4) to base 16\nAnswer: -aa2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, h: 2, w: 1, v: 1, q: 1, o: 1}. Give prob of sequence hb.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16254*s - 16360*s + 3180 for s.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u**3\/4 + 2653*u**2\/4 + u\/4 - 2653\/4 = 0 for u.\nAnswer: -1, 1, 2653","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1.4 - -18350\nAnswer: 18348.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(17) + 5 - (sqrt(17) + -1)*6) + -2*sqrt(1088) + sqrt(170)\/(sqrt(20)\/sqrt(2)))**2.\nAnswer: -484*sqrt(17) + 8349","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -2*k**3 + 8*k**2 + 5*k + 4. Let z(n) = -5*n**3 + 16*n**2 + 10*n + 7. Let y(t) = -7*u(t) + 3*z(t). Let x = 5885 + -5892. Give y(x).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -129*u**4 - 3219*u**3 + 150*u**2.\nAnswer: -3*u**2*(u + 25)*(43*u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -386 - 156 + 212 = 10*n for n.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y = 1 - 13. Which is the biggest value? (a) 4 (b) y (c) 2 (d) -39\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i - 6*i - 2*i - 2 + 12*i.\nAnswer: 4*i - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2605 and 31781.\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3818618 rounded to 4 decimal places?\nAnswer: 0.3819","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 - 2*j**2 - j + 110. Calculate o(0).\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3206 and 6706?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fv when two letters picked without replacement from ifffvffivllilll.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 4*s - 4, 3*t = -3*s + s + 6. Suppose 3*l = -r + 31, t*r - 6*r - 44 = -2*l. Let y(m) = -m**2 + 18*m - 14. Is y(l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1945077 and 603?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, j: 10}. Give prob of sequence ij.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3651, 7391, 11477, 15915, 20711, 25871?\nAnswer: 31401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = 2*m + 23 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3.63, -2\/9, 5174?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 AM and 7:31 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of 116 and 243689.476.\nAnswer: 243805.476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fffg when four letters picked without replacement from gggfffffffgfff?\nAnswer: 120\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -203 + 27*a**3 + 203 + (2*a**2 + 2*a**2 - 7*a**2)*(3*a + 3*a - 4*a) - 8*a**3 - 3*a**3 + 4*a**3 - a**3 - a + a to d*a**2 + j*a**3 + l + q*a and give j.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/3*1701\/1890\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 10213043 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 32650964 or 32650965?\nAnswer: 32650965","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 + 0*d**2 - d - 7 + 0 - 10*d. Let m be r(-10). Suppose -4*v + 314 = 5*q - 0*v, -m*q = 4*v - 182. Is q a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 24686784, 24686783, 24686782?\n\"Answer: -o + 24686785","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31104, 62221, 93364, 124545, 155776?\nAnswer: 187069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2*t. Suppose -4*w = -9*w. Let m(h) = w*h + 3*h - 5*h. Give b(m(v)).\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 373875320?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*r**4*z - 62*r**4 + 3*r*z - 2*r + z - 11 wrt r?\nAnswer: -72*r**2*z - 744*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 22413322 to the nearest integer?\nAnswer: 282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add -1802 and -5.\nAnswer: -1807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -645 + 662. Calculate the greatest common divisor of c and 1581.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5260807?\nAnswer: 5260807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -2 (b) 0.1 (c) -0.11 (d) 1 (e) 3 (f) -3 (g) -33\/833\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7\/(-7) + 0 + 3. Solve 4*b - 4*y = -4, 5*b - 4*y = n*b - 6 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3264596 is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/18 + 245\/63. Suppose m*n - 38 = 1318. List the prime factors of n.\nAnswer: 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -3*b + 20. Suppose 1 = -s + 3. Suppose 0 = s*y - 38 - 2. Calculate the highest common factor of y and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -1918*r. Let i(a) = 3*a - 91. Let y(p) = 4*p - 130. Let f(u) = -10*i(u) + 7*y(u). Give f(j(z)).\nAnswer: 3836*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1*((-408)\/(-1360))\/((-9)\/(-870))\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**22)**(-32) assuming p is positive.\nAnswer: p**(-736)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-33))\/((-5)\/(-10)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -44, 79331, 2\/5?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, -2, -24, 4, 1, -36 in ascending order.\nAnswer: -36, -24, -2, 1, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 454190 is divided by 396?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7193 bigger than 71917\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rw when two letters picked without replacement from {r: 1, f: 1, w: 5, k: 6, o: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, y: 2, v: 3, j: 10}. Give prob of picking 2 y and 1 d.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 30918328?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 + -2818)*(-21947)\/(-2779). Let q = l + 22255. Let x = -202871\/11116 - q. What is the common denominator of -35\/9 and x?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.15 * 1186\nAnswer: 177.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6.8 - -1.7. Let s = -5 - 0. Let u = s - r. What is the nearest to 2\/5 in -5, 3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + b - 3)*(5*b + 0*b - 3*b) + (4 + 2 - 5)*(3*b**2 - b**2 - 3*b**2) + (0*b - b + 4*b)*(-68 + 68 - 49*b).\nAnswer: -146*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 10 = 3*l. Let n be 1*(0 + l\/(-17)). Which is the second smallest value? (a) -2\/11 (b) n (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -18461, -18473, -18485, -18497?\n\"Answer: -12*o - 18449","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -33 + (-3 - -18) + -2. Let i(r) = 11*r + 5. Let s(o) = 1. Give m*s(f) + 4*i(f).\nAnswer: 44*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 = 3*k - f, -41*k + 42*k + 5*f - 25 = 0. Let y(b) = -b**2 + 20*b + 5. Give y(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3114.109 millilitres to litres.\nAnswer: 3.114109","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38802?\nAnswer: 2, 3, 29, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 104673 times 0.031?\nAnswer: 3244.863","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -538, -2274, -6402, -14122, -26634, -45138, -70834?\n\"Answer: -200*a**3 + 4*a**2 - 348*a + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1554*o + 10500 = -6118 + 69454 for o.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 4*x - 8, 0 = 2*i + i - x - 9. Suppose -3*f + i*k = -7, f + 3*k = 2*k + 4. Let g(h) = h - 5*h + 3*h. What is g(f)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(119) + (sqrt(119) - (sqrt(119) + sqrt(119) + (sqrt(119) - (sqrt(119) + -1*sqrt(119)*-4 + sqrt(119))))))\/(sqrt(77)\/(-3*sqrt(11))) + -3.\nAnswer: -15*sqrt(17) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxxxxxxxxbbxxxxxxx. What is prob of picking 1 b and 3 x?\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 4*l - k - 9, -5*k = 2*l - 27. Let y(n) = -2*n**3 + 3*n**2 - n - 1. Let u be y(l). Which is the closest to -0.4? (a) 0.1 (b) 3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*b + 2 = -28 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-16)\/30*4 + (-1981)\/(-849). What is the nearest to 2\/3 in h, -11\/9, -1.3, -0.5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -i - 2*i. Let c = 16 - 10. Let r be 16\/c - (-8)\/i. Solve 12 = r*f + 2*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in three tenths of a milligram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -5*o + 57. Let g = -13 + o. Let b(x) = -4*x + 3*x - g*x**2 + x. Let z(n) = -4*n. What is b(z(r))?\nAnswer: -32*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 - 573*(100\/(-500))\/(54\/10)?\nAnswer: 38\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -3*p**3 - 24*p**2 - 5*p. Let c be t(-8). Suppose c = 4*x + 20. Solve 0 = -u + x*u - 3*b + 11, 4*b + 7 = u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -16\/493 and 38\/(-464)*3*10\/(-10)?\nAnswer: 3944","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 244 a factor of 152225106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -0.1, -1\/2, 2\/19, -15\/2 in ascending order.\nAnswer: -15\/2, -6, -1\/2, -0.1, 2\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/(x**(-1\/5)*x)*x*x*x**(-1\/7))\/(((x*x**(-2))\/x)\/x)**3 assuming x is positive.\nAnswer: x**(422\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2789\/495 + 27\/110. Let u be (-1141630)\/(-168) + 6\/8. Let a = u - 6771. What is the common denominator of k and a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1056276 is divided by 8658.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1702, 6639, 14856, 26347, 41106, 59127?\nAnswer: 80404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1564 + 3813. Let w = 67519\/30 - k. Find the common denominator of w and -38\/15.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + 31 - 67. Calculate the highest common divisor of 9 and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -47459 (base 13) to base 15.\nAnswer: -28968","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 126\/(175*(-108)\/10800)\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3 - 23*k**2 - 257*k + 279.\nAnswer: (k - 31)*(k - 1)*(k + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 118583?\nAnswer: 118583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1813?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-27)\/(-18) - (-78)\/12. Suppose 0 = 5*i - 6*n + v*n - 6124, 0 = -i - 2*n + 1228. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 3*p - 7*p + 159, -2*p - 5*o + 97 = 0. Suppose 12*n + 28 = 16*n - 4*t, 0 = 2*n + 3*t - 19. What is the least common multiple of p and n?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -4*s - 56. Let w be r(-16). Is 1 + 0 + (w - 6) + 952 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (8\/((-16)\/(-3)))\/((-5)\/(-13700)). What is the greatest common factor of 20 and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*f**4 - 356*f**3 + 1376*f**2 - 1360*f = 0. What is f?\nAnswer: 0, 2, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 - 9*o + 5. Determine q(-11).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2223?\nAnswer: 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 464*l + 1286*l + 205546 = -2656*l - 208618 for l.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -2*u**2 - 3*u + 4. Let n be a(2). Let q be 3*19*(n\/6 - -1). Calculate the remainder when 93 is divided by (q - (-2)\/1)\/((-48)\/64).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 PM and 10:15 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 10837386607 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 825 times -0.0051?\nAnswer: -4.2075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(120) - sqrt(120)*2)*3 + sqrt(120))\/sqrt(4))\/(sqrt(1210) + sqrt(1210)*2*-4).\nAnswer: 2*sqrt(3)\/77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 532498.\nAnswer: 2, 29, 9181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1665, 69, 13?\nAnswer: -1665","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2\/298145?\nAnswer: -2\/298145","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nu when two letters picked without replacement from {e: 1, u: 1, n: 9}?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 2 = -2*q, -1 = b - 2 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 5*l + 2. What is the remainder when v(5) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16399744 is divided by 38770?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12082 or 12083?\nAnswer: 12082","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/15, 4\/7, -1\/2, 7.29 in increasing order.\nAnswer: -1\/2, -2\/15, 4\/7, 7.29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37970942.\nAnswer: 2, 71, 267401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*d + 37174 + 11336 = -119*d. Which is smaller: -2698\/5 or d?\nAnswer: -2698\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of r**6 - 8365*r**5 + 32*r**3 + 1726*r**2 + 265*r - 2 wrt r.\nAnswer: 120*r**3 - 501900*r**2 + 192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 3*d + 5. Let t be (-6 + 5)\/(d\/4). Solve -8 - 4 = t*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -114069109100 to the nearest one million.\nAnswer: -114069000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h**2 + 3*h**2 - h**2)*(-7*h**2 + 4*h**2 - 4*h**2) + 2*h**4 + 0*h + 0*h.\nAnswer: 16*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -875 rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 8 = 3*m + 2*c, 0 = -3*m + 2*c - 20 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -119601, -119602, -119603, -119604, -119605, -119606?\nAnswer: -119607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -3*s**2. Let y(z) be the first derivative of 7*z**2 - 16. Calculate m(y(p)).\nAnswer: -588*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -38291378 times -21?\nAnswer: 804118938","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - -1 - 7) + (4 - 12) + 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + (-6)\/(-3) + -2. Let q = w - -3. Suppose 5*t - 4*t = q. Solve -5*u - 25 = -4*b, t*b = -b + u + 21 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -116981\/8508 - 1\/2127. What is the common denominator of 5\/18 and m?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 11 + 46*b - 13 in the form o*b + r and give o.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3*(232\/(-12))\/(-2). Let s = -19 - x. Let g be 136\/s - (-16)\/40. Solve l - 5 = -4*q + 6, -2*l - 4*q = -g for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 11*o - 144 = 0. Is 12 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 4*v**2 + 9*v - 111. Does 12 divide i(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 divided by -159373?\nAnswer: 24\/159373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 43034 and -1.4.\nAnswer: -60247.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 39?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 60*s**3 - 8*s - 22. Let m(o) = -40*o**3 + 5*o + 12*o**2 + 15 - 2*o**2 - 10*o**2. Let b(w) = -8*m(w) - 5*q(w). What is the derivative of b(a) wrt a?\nAnswer: 60*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**10)**(14\/15)\/(q**6\/q*q**(-1\/5)) assuming q is positive.\nAnswer: q**(68\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8895?\nAnswer: 3, 5, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o - 3*o + 2*o + (o - o - 4*o)*(1 - 4 + 0).\nAnswer: 10*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 41*h. Let g(d) = -697982*d. Determine i(g(f)).\nAnswer: -28617262*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -201? (a) -3 (b) 2 (c) -5 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32876*l**3 - 2921*l**3 - 3318*l**3.\nAnswer: -39115*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -17*h**3 + 5*h**2 - 4*h - 3. Let k(o) = -16*o**3 + 6*o**2 - 5*o - 4. Let d(a) = -4*b(a) + 3*k(a). Does 10 divide d(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (5 + -5 - 3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17661 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -209 by -1425.\nAnswer: 11\/75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of -k**7\/4200 + k**6\/450 - k**5\/200 - 11*k**3\/3 - 14. Let f(z) be the third derivative of w(z). Factor f(x).\nAnswer: -x*(x - 3)*(x - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 7:11 AM?\nAnswer: 8:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 446?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1242 (base 6) in base 14?\nAnswer: -186","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - 214570?\nAnswer: -214568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of -2*c**3\/3 + c**2 + 4*c. What are the prime factors of p(-5)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26 and 78?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 7 + 2 - 8 + 5 + 3*u. Let f be g(-2). Suppose -5*t + 6*t = f. Which is smaller: 2\/161 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -491334182\/5 <= -98266836?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 - 7*c**2 + c - 3. What is the units digit of v(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4 + 3 + (-5528)\/(-5). Let m = 1097 - o. Calculate the common denominator of 4 and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 6, -1071, 15, -2, 5 in decreasing order.\nAnswer: 15, 6, 5, -2, -3, -1071","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -318, -642, -966, -1290?\n\"Answer: -324*i + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -600 - -618. Suppose u*n + 28*n = 18*n. Solve n = -19*w + 21*w - 10 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3, -23435 in descending order.\nAnswer: 5, 3, -23435","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -25, 0, -0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*j + 0*j + 4*j - 5*j.\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -161823 divided by 9519\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5)\/(-3) + 1\/3. Let s(v) be the third derivative of 0*v - a*v**2 - 1\/3*v**3 + 0 + 1\/12*v**5 + 1\/8*v**4. Solve s(m) = 0 for m.\nAnswer: -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-7))\/(((-39)\/91)\/(30\/(-4)))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, e: 1, l: 2, x: 2, s: 1}. What is prob of picking 2 w and 1 s?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 - 2. Let t be o(-2). Let z(r) = -r**3 - 6*r**2 + 3*r + 9. Let n be z(t). Let w = n - -13. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3574, -13820, -30754, -54364, -84638, -121564?\nAnswer: -165130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 134103510929 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6\/409? (a) -1\/3 (b) 0.1 (c) -2 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 5*d**2. Let r(t) = t**2 + 7*t - 2 - 2*t**2 - 5*t. Let v(p) = -5*p**2 + 11*p - 11. Let q(g) = -22*r(g) + 4*v(g). Give q(k(j)).\nAnswer: 50*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 11*i - 7. Let g(d) = d - 1. Let s(r) = -18*g(r) + 2*n(r). Let b(f) = -3*f - 3. Calculate 5*b(w) + 4*s(w).\nAnswer: w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/52*(-4)\/3. Let h = 16 + -15.6. Suppose -2*i + 5 = 3*i. Which is the nearest to i? (a) h (b) t (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hkxokmmohxohkohx. Give prob of sequence hhxk.\nAnswer: 9\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 2)*(-3*o - 3*o + 5*o) + 5 - 5 - 2*o + o + 3 - 3 + (2*o - o + o)*(-5 + 4 + 4).\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 - 9*m**2 + 12*m + 25. Let h be g(-10). Let s(z) = -83*z - h - z**2 + 36*z + 42*z. What is s(-5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1\/3 - 1\/6. Let q = -104 - -203\/2. Which is the closest to d? (a) -0.2 (b) q (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -119 divided by 7749\nAnswer: -17\/1107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -19\/172961 or -1?\nAnswer: -19\/172961","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -16*k + 38*k - 92 - 6*k - 22*k. Give o(-14).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 - -7703?\nAnswer: 7703.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 825 and 4193879750?\nAnswer: 4193878925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5234987 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = r - 2*i + 8, -382*i + 386*i + 74 = -3*r for r.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7.5 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 13*m - 19. Let l(i) = 3*i - 5. Let h(g) = 9*l(g) - 2*q(g). Determine h(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -127566 by -2.\nAnswer: 63783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7564803 + 7564803 - 37723*f to n*f + r and give n.\nAnswer: -37723","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 399768 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 362352 or -1?\nAnswer: 362352","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9*7\/(-294))\/((-228)\/(-32))*-7.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -195\/77 + 64\/11. Find the common denominator of d and 99\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 206453 (base 7) in base 10?\nAnswer: 35906","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 137118, 274141, 411164?\nAnswer: 548187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 + (-5)\/(-1) - -8. Suppose -4*t = 5*v + y, -v = t - 0*t + 2. Is t bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/112 and 11\/4609184.\nAnswer: 32264288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/2*1248\/325*10\/4?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 12336958\/115 and 107279 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 27170 and 59774.\nAnswer: 298870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 AM and 7:41 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - ((1 - 1) + 6 - 3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - aa?\nAnswer: -ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 2320*k**2 - 32*k - 1248. Let v(u) = 357*u**2 - 5*u - 192. Let j(y) = -5*q(y) + 32*v(y). Find the first derivative of j(z) wrt z.\nAnswer: -352*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -269447632*w - 333673348.\nAnswer: -269447632","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 + 8*s + 1. Let q be u(-8). Suppose -p + 5*p + 57 = 3*m, 3*m = -4*p - 63. Let t be (p\/25)\/(2\/(-10)). Put q, -2, t in descending order.\nAnswer: t, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 133?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of -5*b**4\/2 - b**2 + 2*b + 138. What is t(1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*b - 433 = 33 - 109 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5071531 by 184.\nAnswer: -5071531\/184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-12)\/c)\/c)\/c**(-15))\/((c**(-27)*c)\/c**24) assuming c is positive.\nAnswer: c**51","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3675452761 to the nearest integer?\nAnswer: 1543","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) 1.15 (b) -2 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -30*l**2 - 17*l - 20. Let k(b) = -9*b**2 - 5*b - 7. Let x(r) = -21*k(r) + 6*s(r). What is the thousands digit of x(11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3489?\nAnswer: 3, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, 3 in decreasing order.\nAnswer: 3, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or 2\/1848293?\nAnswer: 2\/1848293","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j + b + 14758 - 83464, 0 = 4*j - b - 54954. List the prime factors of j.\nAnswer: 2, 3, 5, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1080491343 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.228 - -0.228. Put 3, -3, w, -0.3 in descending order.\nAnswer: 3, w, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7*1\/(-9))\/(17\/102)?\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/21 and 4\/153?\nAnswer: 1071","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5288.021 nanoseconds in microseconds?\nAnswer: 5.288021","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 101531295?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s - 22*s**2 + 0*s - 2*s)*(-2 + 2 - 1)*(-34*s - 20*s + 20*s).\nAnswer: -748*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -460*a**4 - 6393*a**3*w - 2*a**2*w + 38*a**2 + 2*a*w + 11*a - 77*w wrt a?\nAnswer: -11040*a - 38358*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*n**3*t**2 + 10*n**2*t**3 + 129*n*t - 2*t**3 wrt n.\nAnswer: 30*n*t**2 + 20*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 5*o**3 - 3*o**2 - 10*o + 14. Calculate x(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 12538994?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10.7229*0.2.\nAnswer: -2.14458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 - 22*d**2 + d + 30. Let v be g(-22). Let u(s) = 37*s - 116. Does 35 divide u(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16270*r + 2704*r + 2702*r + 2706*r + 2715*r + 2702*r + 2715*r.\nAnswer: -26*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y + 16. Let m = 82 - 82. Calculate k(m).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + 16. Let l = -87 + 15. Let g = -65 - l. Calculate the remainder when d is divided by g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of (-2120)\/(231\/242 + -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 10 = 0, -4*v = 5*t - 2*t - 33. Calculate the highest common factor of v and 372.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 9*p**2. Let s(t) be the first derivative of 7*t**2\/2 + 21. Calculate j(s(k)).\nAnswer: 441*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*k = -21*k + 38*k. Let f(x) be the second derivative of 0 + 14*x + k*x**2 + 7\/6*x**3. Let y(m) = -2*m**2. Determine y(f(z)).\nAnswer: -98*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 828, 771, 712, 651, 588, 523, 456?\nAnswer: 387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 340 + -321. Is 17 not equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 3, 2\/7, -0.04, -20?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1206859 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p + 26. Let a be g(24). Solve -3*i = a*i, 0 = 5*s + i + 25 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 27497110 to the nearest 1000000.\nAnswer: 27000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -50312, -50313, -50314?\n\"Answer: -g - 50311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4400 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: b\"What is the tth term of 15563, 31495, 47441, 63407, 79399, 95423, 111485, 127591?\n\"Answer: t**3 + t**2 + 15922*t - 361","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(-3)*(-1 - 0). Let i = 27.72 + 3.38. Let t = i - 31. Which is the nearest to s? (a) -5\/4 (b) t (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 13*w - 219. Let m be o(17). Solve -4*j - 30 = -2*q, 27 = -2*j + m*q + 7 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppxzlllzlzxlhzizlzz. What is prob of picking 1 l and 1 p?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes after 3:23 PM?\nAnswer: 3:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26262563 is divided by 59?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*r - 4*r + 2*r.\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15 and 1337880.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 + 17*c**2 - 59*c + 887. Give z(17).\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 81 by -217313.\nAnswer: -81\/217313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, h: 1, q: 5, s: 9}. Give prob of picking 2 s and 1 q.\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2*x**2 - 4*x + 3. Let b(w) = w**2 - w + 2. Let t(p) = -5*b(p) + 3*i(p). What are the prime factors of t(19)?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 2*b - 322, -5*c + 2*b + 169 = -256. Let u = -79 + c. Suppose 4*x - 5*x = u*x. Let y(g) = -g**3 + g**2 + 11. What is y(x)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2482 + -1789. List the prime factors of z.\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 187*m**6 + 26*m**2 + 41*m**5 - 39*m**2 + 372*m - 30*m**5 + 16*m**2 wrt m.\nAnswer: 22440*m**3 + 660*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5\/4 + 53\/36. Let r = 3523\/4 - 880. Is r < y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w - 2*z - 851 = 9*w, 4*w - 2*z + 3434 = 0. Let x = 73 - w. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-77)\/(-110))\/((-1)\/((-28)\/7)).\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 156 is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 9*y = 325 - 305, 3*q - 2*y - 15 = -4*y for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21111021 + -2012010?\nAnswer: -100200101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 219 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6374 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 0)*(-y + 2*y + y)*(2 - 8 - 16)*(2*y + 3*y**2 - 2*y) - 34*y**2 - 2*y**3 + 69*y**2 - 39*y**2.\nAnswer: -266*y**3 - 4*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - -7. Suppose -2*a + m*a = 225. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 411 take away 12?\nAnswer: 399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -2*m**3 + 9*m**2 - 4. Let l be c(4). Let u = 277 + -181. What is the highest common factor of u and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 225, -5, 1 in decreasing order.\nAnswer: 225, 1, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -13 divided by -12203\nAnswer: 13\/12203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 328414853?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 13255980 to the power of 1\/5, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21.5 + 21.3. What is the nearest to 52 in w, 0.3, 0?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -456*g - 4026*g**4 - 211*g**2 + 1542*g**2 + 935*g - 479*g wrt g.\nAnswer: -96624*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 240b + 1?\nAnswer: 240c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -1.5. Let l = -0.034 - 4.866. Let p = -0.1 + l. What is the second biggest value in p, -2\/23, f?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 18903*k + 18454*k - 2 in the form v*k + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)*2 + sqrt(2) - (-2 + sqrt(18)).\nAnswer: 2 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 46754.3 and -5.\nAnswer: 46749.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70*k - 44*k - 39*k.\nAnswer: -13*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 - 67*a**2 + 1855*a - 9174. Give r(-89).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -54*j*k**3 + 13*j*k**2 - j*k*u**2 + j*k*u + 14*j*k + 11*j*u + 972239*k**3*u**2 + 107*k**2*u**2 + 29*k wrt k?\nAnswer: -324*j + 5833434*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134*v - 132*v + q = 9, 5*q - 9 = -v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 - 3*l**2 - 3*l - 3. Let w be o(-3). Let s be (-50)\/w*(-296)\/552. Let r = s + -90\/23. Does r = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 416662117 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 159 and 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10192, 2\/11, 6 in descending order.\nAnswer: 6, 2\/11, -10192","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9843 equal to 9831?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1160, 1152, 1138, 1118, 1092?\nAnswer: 1060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 170 + -300. Round u to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*a + 1493 - 493 - 498 - 502 + 3001*a**2 to d*a**2 + g*a + j and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 131723 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: Three letters picked without replacement from uesusuu. What is prob of picking 2 u and 1 e?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27 and 72.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3529731030 to the nearest integer?\nAnswer: 59412","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*((-52)\/(-2) - -3). What is the highest common factor of 87 and j?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a + a - 2*a)*(-8 + 22 + 51 + (-3 + 4 + 1)*(-4 + 1 + 2)) - 3*a + 2*a - 6*a.\nAnswer: 119*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3053 and 52.\nAnswer: -3001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -104 + 14 + 0 + (-6 - -10)?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*o - o + 3*o)*(-3*o + 4*o + 2*o) - 2*o**2 - o**2 + o**2)*(-1 + 0 + 0 + (1 + 4 - 4)*(4 - 6 + 0)).\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002559 to five decimal places.\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24.6 - 2.6. Let s = 27.20000111 + q. Round s to 7 decimal places.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -310483, -620967, -931451, -1241935, -1552419?\n\"Answer: -310484*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*a - 100*a - 2*j + 6368 = 0, 4*a - 3643 = 3*j. What is the highest common divisor of 2080 and a?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*i - 35*i - 9 = -p, 2*i = 2*p - 10. Let t(j) = -j**2. Let c(g) = -4*g**2 - 3*g + 3. Let q(b) = -c(b) + 5*t(b). Calculate q(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zy when two letters picked without replacement from syssyysntzy?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4452 or -4453?\nAnswer: -4453","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**5 - 80*n**4 - 216*n**3 + 1168*n**2 - 1348*n + 480.\nAnswer: -4*(n - 1)**3*(n + 8)*(n + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 5:24 AM?\nAnswer: 7:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.541*-689\nAnswer: 372.749","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that j**2\/9 - 1066*j\/9 + 284089\/9 = 0.\nAnswer: 533","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of -314*u**5\/5 - u**4\/4 + 117*u**2 + 309. Find the second derivative of r(z) wrt z.\nAnswer: -3768*z**2 - 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -40 + 48. Suppose -2*n + r = 2*q - 0*q, -n = -2*q + 2. Determine x so that -10 + 33*x**n + 10*x**2 + 25*x - 8*x**2 = 0.\nAnswer: -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the third derivative of v**6\/900 - v**5\/15 - 7*v**4\/20 - 31*v**3\/2 - v**2 - 27*v. Let z(j) be the first derivative of t(j). What is g in z(g) = 0?\nAnswer: -1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 56 and 88.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 21*t**2 + 5*t + 7. Is m(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 454361?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/17 in -1, 5, -39\/809, -6?\nAnswer: -39\/809","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -859*j**3*z + 3770*j**3 + 9*j**2*z + 2*j**2 + 4731*j*z - 5*z + 2 wrt j?\nAnswer: -5154*z + 22620","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7515 and 6795?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 170*r**2 + 52*r + 75. Is m(14) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-291)\/(-1649) + (-207)\/(-2295). Find s, given that 0*s + 0 - 2\/15*s**3 - k*s**2 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2\/3, 0.2, -0.5, 537 in ascending order.\nAnswer: -3, -0.5, 0.2, 2\/3, 537","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 1:37 AM?\nAnswer: 6:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 172*v - 6986. Let g be y(41). Solve g*t = 147 + 315 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lgqxqlqlxqqx. Give prob of picking 1 g and 1 x.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 - (540\/16)\/9)*-220. Solve z = -62*y - 21 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -10573 and -89349?\nAnswer: 944686977","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 321 is divided by 69?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 967674 is divided by 967572.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 1\/2129457?\nAnswer: 1\/2129457","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = p - 32250002, -4*z - 53750004 = -9*z - 2*p. Round z to the nearest 100000.\nAnswer: 10800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 320*i + 668*i + 2 - 1003*i.\nAnswer: -15*i + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 466 divide 3859258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 2*m**3 + 13*m**2 + m + 9. Let b(n) = -4*n**3 - 28*n**2 - n - 20. Determine -6*b(s) - 13*k(s).\nAnswer: -2*s**3 - s**2 - 7*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-13)\/(-24)*23\/((-2898)\/(-392)) and -3\/10?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (4662385\/910)\/((-2)\/(-92)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2082330.04 to the nearest 10000.\nAnswer: 2080000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -118340 to the nearest 10000.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.68 - -2.102. Let r = y - 0.057. Let n = -0.4 + r. What is n rounded to 2 decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j**2 + 1 - 1)*(-18*j**2 + 29*j**2 - 8*j**2 - 6).\nAnswer: -12*j**4 + 24*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -242*a**3 - 99572*a**2 + 54366*a - 7416.\nAnswer: -2*(a + 412)*(11*a - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1261 - 1955 = 104*s + 1776 for s.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 20\/39 and 40\/9.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.1+0.03\nAnswer: 0.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r, 1 q, and 1 x when four letters picked without replacement from sqsxsrsrs?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**0)**(-7\/8)*(t*t\/t**(-4\/9))\/(t\/(((t*t**3*t)\/t)\/t)) assuming t is positive.\nAnswer: t**(257\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 520 - 517. Find the second derivative of -41*k - 16*k**3 - 47*k**j - 38*k - 21*k**3 - 59*k wrt k.\nAnswer: -504*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o. Let i(f) = f**2 - 6*f - 6. Let r be i(-1). Let n(b) be the first derivative of r + 3\/2*b**2 + 0*b. Give n(d(w)).\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 78927005 a multiple of 545?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 + 4*u**2 - u - 1. Let i = -5 + 1. Let t be g(i). Suppose 0*w + 0*w**2 - 1\/3*w**t + 0 = 0. What is w?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -2*m + 2590, 5*m + 56 = 71. What are the prime factors of h?\nAnswer: 2, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 20*h + 12349. Let f(u) = u**2. Calculate r(f(j)).\nAnswer: 20*j**2 + 12349","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 17*z - 270. Let b be g(16). Let k(n) be the first derivative of 0*n**b + 11*n + 1 - 10\/3*n**3. Differentiate k(o) with respect to o.\nAnswer: -20*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/17)\/((o**7\/o)\/o))\/(o**(-1\/9)*o*o**(-2\/27)\/o) assuming o is positive.\nAnswer: o**(-2264\/459)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*y - 38 + 38 - 2*y**3 - y**3 + 3*y**3 - y**3 + (-2 + 2 + 2*y)*(-y**2 - y**2 + 3*y**2) to the form w*y**2 + j + n*y + l*y**3 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.742 and -0.2.\nAnswer: -0.1484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*m**2 + 8*m**2 + 10*m**2)*(-2 + 4 + 3)*(-1 + 1 + 1) to t + h*m**2 + j*m and give h.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16 + -11. Let z(t) be the second derivative of 0 - 2\/15*t**4 + 0*t**2 + t + 1\/105*t**7 + 3\/25*t**b + 1\/15*t**3 - 4\/75*t**6. Factor z(i).\nAnswer: 2*i*(i - 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nneeeeneennnne. What is prob of sequence ennn?\nAnswer: 35\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 446 + 11. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1171 and -3?\nAnswer: 0.3513","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of 0*h + 0 - 1\/6*h**4 + 1\/3*h**3 + 5*h**2. Let q(r) = 3*r - 2. Determine 4*m(x) + 5*q(x).\nAnswer: -x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwe when three letters picked without replacement from wvvwwwewevewv?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/((-63)\/(-27)) + (-44)\/14?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of 146*f + 0*f**3 + 0 + 6\/5*f**6 + 0*f**5 + 231\/2*f**2 + 0*f**4. Differentiate j(i) wrt i.\nAnswer: 144*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, g: 1, v: 2, y: 2, n: 2}. Give prob of sequence nyvp.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -139*u**2 - 15421*u + 896. Give v(-111).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.1771652 microseconds in seconds?\nAnswer: 0.0000001771652","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of -3*y**8\/28 - 3*y**4\/4 - 3*y. What is the third derivative of s(o) wrt o?\nAnswer: -720*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 123*a**5 + 89*a**2?\nAnswer: 7380*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 10 divided by 620437\nAnswer: 10\/620437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (261\/(-27))\/((-2)\/(-6)). Let n = z + 31. Suppose n*y + 4*v = y + 38, 3*v = 4*y - 133. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (16\/6)\/((-50)\/15 + 3). Let w = -6 - d. What is the third derivative of 5*o**2 + 15*o**2 - 2*o**6 + 14*o**6 - o**w wrt o?\nAnswer: 1440*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*1*4\/12.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 10, j: 1, h: 7, g: 2}. What is prob of picking 2 g?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(140)*2)\/sqrt(7) + sqrt(20))\/(sqrt(64) - (sqrt(64) + 3*sqrt(64) - sqrt(64))).\nAnswer: -3*sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 26318173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i\/(i**(-2\/7)*i*i)))\/i)**(-2\/7)*i**7\/i*i*(i**(2\/11)\/i*i)\/i*i*((i*i\/(((i*i**(-1\/11))\/i)\/i)*i)\/(i\/i**8*i))\/(i**(-2))**33 assuming i is positive.\nAnswer: i**(44774\/539)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 803 and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 35401861, 70803711, 106205553, 141607387, 177009213, 212411031, 247812841?\n\"Answer: -4*o**2 + 35401862*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 97652 + -22737. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 62 - -18866?\nAnswer: 20038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 689\/3420 + -56\/855. What is the common denominator of 65\/6 and j?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*a - 18652 - 4319 = 0. List the prime factors of a.\nAnswer: 3, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11640, -11638, -11636?\nAnswer: -11634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -20278*t + 7685368. Give f(379).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (4 - -4)) + 2 + -1 + -11.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 348166 is divided by 69624?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 AM and 12:01 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*h - 2*h - h + 4059*h - 509*h + 5496*h + (-6 + 2 + 2)*(0*h + h - 2*h) as c + n*h and give n.\nAnswer: 9047","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ezo when three letters picked without replacement from eopfezv?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 9 - 5)*(1 + 2*d - 1)*(-2*d + 2*d**2 + 2*d).\nAnswer: -24*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, m: 1, p: 1, h: 2}. What is prob of picking 1 p and 1 m?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7797 times -1?\nAnswer: -0.7797","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.02675 - -0.62985. Round k to 1 dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 5*k - 140, -2*p = -46*k + 43*k - 52. What is the remainder when 7356 is divided by p?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 46722, 93448, 140174, 186900?\n\"Answer: 46726*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.2 - 1.2. Which is the closest to g? (a) -0.1 (b) -2\/3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 5*l + 11 = l, 5*j - 4*l = 13. Let a be (-5 + 2 + 40)\/j. Let i = 48 - a. Is 10 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 + 53*k**2 - 52*k + 137. Give s(-54).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1477\/5 - -295. Let c(q) = q - 4. Let u be c(4). What is the closest to u in -4, m, -1\/2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 + 36*k**2 + 104*k + 164. Let z be h(-33). Sort 32, -3, z, -5, 2.\nAnswer: -5, -3, z, 2, 32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 9aa6 (base 11) to base 4\nAnswer: 3033321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9*28\/(-378)*198\/12?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -i**5 - 2*i**4 + 23*i**3 + 28*i**2 - 112*i + 64 = 0?\nAnswer: -4, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 87722997 to the power of 1\/3, to the nearest integer?\nAnswer: 444","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 111000001000000111 (base 2) to base 8\nAnswer: 701007","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -1\/3, -4, 2\/14711, 2\/17?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 4 = -0. Let v be 2\/(-7) + 99\/(-21). Let x = s - v. Let z(l) = 2*l - 4. Calculate z(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7906 is divided by 397.\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of 13*n**4\/12 + n**3\/3 - n**2\/2 - n. Let p = 1 + 0. What is the remainder when 55 is divided by o(p)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 - -416\nAnswer: 422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1504?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -345 + 0?\nAnswer: -345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1386 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: 10 divided by -129231\nAnswer: -10\/129231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22760 and 40?\nAnswer: 22760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + -2d97?\nAnswer: -2d92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*d, 2*j + 3*j = 4*d + 542. Is 42 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1343 + 1393. Sort -4, 0.2, k, -0.2 in descending order.\nAnswer: k, 0.2, -0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rx when two letters picked without replacement from rrx?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7010618 to the power of 1\/2, to the nearest integer?\nAnswer: 2648","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-56 - (-113 - -51)) + -1 + -18?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 877033 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 3*w + 1. Let t(y) = 4*y**2. Calculate t(r(f)).\nAnswer: 36*f**2 + 24*f + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1048488 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*c - 2*c + 600 + 161 + 64 in the form d*c + s and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 194, 356, 518, 680, 842, 1004?\nAnswer: 1166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 3.5. Let s = 1446 - 1446. What is the nearest to s in 1, k, -2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 - 9*k - 5. Let q be t(-7). Let n = -2 + q. Let u = n - 1. Is 4 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18360 and 1620.\nAnswer: 55080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100311331 (base 4) to base 14.\nAnswer: 1b1db","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 630525 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(500) + 5)*-2)**2*-5 + (sqrt(320) + (sqrt(320) - (sqrt(320) - (1 + sqrt(320)))) + sqrt(320) + 0 + 5 + 2)**2.\nAnswer: -37556 + 4384*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 14\/(13\/104*(-8)\/250). What is h rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 4*p + 34 = 42, p - 20 = -5*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -597, -2382, -5349, -9492, -14805, -21282, -28917?\n\"Answer: a**3 - 597*a**2 - a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 0 - -89 - (9 + -10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29 (base 11) to base 8\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of -y**5\/20 - y**4\/12 + y**3\/6 - 7*y**2\/2 + y. Suppose v - 96 - 92 = 0. Let m = v + -188. Calculate c(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -4*c + 17, 21*q - 6 = 18*q - 3*c. Put 0.7, q, 1\/11, -0.13 in ascending order.\nAnswer: q, -0.13, 1\/11, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (12*1 - (-7980)\/(-1365)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 175 and 4350.\nAnswer: 30450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -151, -166, -181, -196, -211, -226?\nAnswer: -241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vtihhsicchtthvi. What is prob of sequence hc?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 11510609 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 167*a - 474. What is b(3)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 + b - 2. What is h(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/3 at least as big as -2\/3086275?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*i - 29*i + 1594192 = 0. Let w = 151452 - i. 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: What is 251 minutes after 5:14 AM?\nAnswer: 9:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 20*((-18)\/(-135) + (-11)\/(-30)). Suppose 0 = 16*f - 11*f + g, -2*f - 10 = -3*l. Solve z = 2*a + 12, -20 = -4*z + l*a - a for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/6598 and (15 - (-1004)\/(-80))*2\/(-7)?\nAnswer: 32990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 + 1324*n + 4. Let q be o(0). Let y(x) = x**3 - 6*x**2 + 5*x + 4. Let z be y(5). Solve 0 = -z*g + q for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 416777842.\nAnswer: 2, 13, 37, 433241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 83 - 34. Let q be v + 5 - (-1 + 2). Suppose 0 = -g - k + 33, q + 79 = 4*g + 3*k. Does 11 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of -h**5\/20 + 4*h**2 + 17*h + 2. Let u(z) be the first derivative of j(z). Let b(m) = 92*m. Determine u(b(v)).\nAnswer: -25392*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.74326 + 0.03254. What is l rounded to one dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1501955, -3004005, -4506055, -6008105?\n\"Answer: -1502050*q + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-2) + (-205)\/10 - -1. Let t be (3 - -3) + l\/5. Solve 0*r - t*r = -8 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 5130 = -98*t - 20*t for t.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - -22?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 7920795 from 1.0491.\nAnswer: -7920793.9509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(325) + (-2*sqrt(325) - sqrt(325)) + 0 + -1*(sqrt(325) - sqrt(325)*2) - (sqrt(325)*-3*-5 + sqrt(325) + (sqrt(325) - (sqrt(325) + 2)) + 3))**2.\nAnswer: 170*sqrt(13) + 93926","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 a, and 1 o when three letters picked without replacement from {c: 4, o: 1, m: 6, a: 1, t: 1, k: 3}?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(168)*4 + sqrt(672)*1 + sqrt(42))\/(sqrt(270)\/(1*sqrt(5))).\nAnswer: 13*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -25*g + 34. Does 8 divide k(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**2\/15 - 25628*u\/5 - 246297894\/5 = 0.\nAnswer: -19221","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/822606577 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30587*g + 30587*g - 61175*g.\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 4*l**3 - 59*l**2 - 15*l + 74. Let a be j(15). Solve -31*n = 6*n - a for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16722.\nAnswer: 2, 3, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1048 * 37943\nAnswer: 39764264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*w**2 + 3*w**2 + 5*w + 12*w + 0*w**2 to the form v*w + o*w**2 + i and give v.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 353400 to the power of 1\/3, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 0.8, -1\/6, 20?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.6 (b) -0.06 (c) 1 (d) 76245\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -883*d. Let a(r) = -899*r + 19. Calculate a(p(t)).\nAnswer: 793817*t + 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -201 + 203. Solve q - 4*v + 21 = 0, -5*q + 15 = -a*v + 48 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 40*h**4 + 66*h - 12*h**4 - 2376 - 12*h**4 - 11*h**4 wrt h.\nAnswer: 20*h**3 + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 2\/125, -2, 0.5, -0.5, -10, 65\/16?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1579 + 779 = -10*n. Let c(s) = -s**2 + 7*s + 4. Let m be c(4). What is the highest common divisor of n and m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7643\/132 + -636\/11. Let a(b) be the second derivative of o*b**4 + 0*b**2 - 13*b - 1\/2*b**3 + 0. Factor a(s).\nAnswer: s*(s - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -124 + 124 - o.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 139 = -4*v - 0, -2*r - 4*v = 86. Let c = -40 - r. Suppose 5*m - 15 = 10*m. Which is smaller: m or c?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((3*sqrt(2)*3)**2 - ((1 + sqrt(242))**2 - sqrt(2))).\nAnswer: -78 - 21*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -31 - -43. Suppose -4*a - 3*j - j = -h, 0 = j. Solve -i - a = 2*c - 0, -3*c = 4*i + 12 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 535943041 by 8167.\nAnswer: 65623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 2:47 PM?\nAnswer: 7:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12549176*g**2 - 12549176*g**2 - 3303*g**3 + 3306*g**3.\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52\/104*42*1.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 5, k: 11}. Give prob of picking 3 q.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 22.9 from 12.4721.\nAnswer: -10.4279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*g - 8*g - 6 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the third derivative of 1\/360*x**6 + 0 + 1\/6*x**3 + 0*x - 7\/120*x**5 - x**2 + 1\/4*x**4. Let j(i) be the first derivative of d(i). Give j(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -2) + 1 - (-57)\/(-21)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 826426382 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + -33c?\nAnswer: -33b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v + 13. Let x be n(11). Suppose -21*p = -9*p - 36. Solve -3*i - 8 = -2*c, x = p*i + 3*c + 20 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46 - -315972397144.\nAnswer: 315972397190","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.2 and -55733560250.\nAnswer: -55733560250.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*v - 14*v - 7300 = 4*h, 4*h - 3644 = -v. Is 24 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**2 + 6*w - 5. Suppose y = -2*x + 1, x = 2*y - x - 14. Let q be u(y). Solve q*d - 4*d - 9 = 5*n, 4*n = -4 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 4*v**2 + 14*v + 969. What is the thousands digit of q(-58)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12412 (base 10) to base 9\nAnswer: 18021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 10:12 AM?\nAnswer: 2:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**3\/3 - 16130*h**2\/3 - 11964848*h - 4408653408.\nAnswer: -2*(h + 457)*(h + 3804)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 - 1. Let d(l) = 3*l**2 + 4. Let b(u) = -20*a(u) - 5*d(u). Solve b(z) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20364?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.8404 to one decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9\/3*3\/(-9). Let m = y + 1. Suppose m = -4*h - 0*h + 56. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 21\/2 of a micrometer?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -8*l - 26. Let o = 34 + -34. Suppose 8*z + 29 + 3 = o. Give d(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d - 5*d + 6*d)*((6*d - 3*d - 2*d)*(3*d - 3*d + d) - d**2 - d**2 + 4*d**2) + (-d**2 + 5*d**2 - 2*d**2)*(-3*d + d + 0*d).\nAnswer: -13*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7810, 7799, 7770, 7723?\nAnswer: 7658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27606, -27691, -27802, -27939, -28102, -28291?\nAnswer: -28506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 182\/(-56)*(-8)\/(-2). Let k = -3 - u. What is the smallest common multiple of 11 and k?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.18 - 70.82. Let r = v - -70.951. Round r to 2 decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 - 9*c**2 - 3*c + 57. Let m be y(9). Calculate the highest common factor of 75 and m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 (base 15) in base 12?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 9*v + m, -6816*v - 2*m - 7 = -6819*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 74? (a) -0.5 (b) -5 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 5, 1 in decreasing order.\nAnswer: 10, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-187)\/(-68) - (-2)\/8. Suppose 0*v - 486 = -v + 2*y, l*v = 3*y + 1449. What is the greatest common factor of v and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6200, 12462, 18790, 25184?\nAnswer: 31644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2110759290 a multiple of 201?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1\/2, 3, 1\/7 in descending order.\nAnswer: 3, 1\/7, -1\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 - -13. Let b(w) = 6*w**3 - 6*w**2 + 2*w + 9. What is the tens digit of b(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 2 = -4*t, 7*t - 4*t - 5*f = 5. Suppose 18*y + 462 - 13782 = t. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/3400 and -117\/80?\nAnswer: 6800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 19576.916*2.1\nAnswer: 41111.5236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001 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 693570 divided by 1895?\nAnswer: 366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 126 and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -d. Suppose d = -0*t - t + 95. Suppose 2*l = -25 + t. Is l a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of 323*x**4\/24 - 19*x**2. Let a(b) = b**2. Give a(y(r)).\nAnswer: 104329*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*j**2 + 5*j**2 - 2*j**2)*(4*j - 2*j**2 - 4*j).\nAnswer: -24*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1931.\nAnswer: 1931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2452 - -2465. Let d(u) = -13*u. Let s(n) = 7*n. Calculate k*s(r) + 6*d(r).\nAnswer: 13*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -18 - (104 + -116)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 - 1071*w - 9740. Determine d(-9).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (10 + 4 - 24)*((2*b + 1 - 1)*(-4 + 4 + 2*b) + 3*b**2 - 2*b**2 + 3*b**2) as d*b**2 + m + i*b and give d.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -36, 3, -1\/6, 337 in descending order.\nAnswer: 337, 3, 0.5, -1\/6, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 157937713?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 42680226?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 64*q - 1469 + 189 for q.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1069, 2262, 3487, 4750, 6057, 7414, 8827, 10302?\n\"Answer: q**3 + 10*q**2 + 1156*q - 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*t**3 - 49*t**3 - 14*t**3.\nAnswer: -63*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/1964544 and -119\/320.\nAnswer: 9822720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 5*i. Suppose 5*a + 17 = 72. Suppose 5*j - a = 2*s, 4 = -3*j - 4*s - 5. Let c(g) = 3*g + j - 1. What is c(x(r))?\nAnswer: 15*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16 by -6413026.\nAnswer: 8\/3206513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7685859 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 86 + (-29 - 40)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -23257914 to the nearest one hundred thousand.\nAnswer: -23300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -14548468 or -14548467?\nAnswer: -14548467","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -36665 - -36734.241. Let c = -0.359 - t. Let h = -69.6313 - c. What is h rounded to three dps?\nAnswer: -0.031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 42 = 4*r - 0*m, -4*r + 27 = m. Let h be (-2)\/4 + (-36)\/(-8). Solve -3*g = -r*g + 2*q + 3, -12 = -4*g + h*q for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -320 + 320. Suppose -w - 60 = -4*d + 2*w, b = 5*d - 5*w - 80. Solve -2*s - s - d = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*p = 10*p + 12. Suppose 5*y - 61 = -p*k, 2*y - 72 = -4*k - 0*k. Solve 0 = x - 3*t - k, -4*x - 3*t = -7*t - 36 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -247848833 + -2?\nAnswer: -247848835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2670 times -0.032?\nAnswer: 85.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 - 5*v**2 + 7*v + 8. Let f be g(-6). Find the third derivative of -59*t**f + 53*t**2 + t**4 + 2*t**4 wrt t.\nAnswer: 72*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 485?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -16*a**3 - 7*a**2 + 20. Let y be n(2). Do y and -90 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*c = -36*c - 1070. List the prime factors of c.\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkk when three letters picked without replacement from kkkkkk?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of -7*u**6\/120 + 47*u**5\/20 - 1711*u**4\/24 - 272*u**2 - u. What is the second derivative of s(m) wrt m?\nAnswer: -42*m + 282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 9165?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 40222 and 295256.\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 + 6*w + 4. Let b = -364 + 360. Let v(l) = -3*l**2 - 11*l - 9. Let a(y) = b*v(y) - 9*f(y). Determine d so that a(d) = 0.\nAnswer: 0, 10\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.7 in 4, 1, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (50\/(-20))\/(110\/(-704))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 18702054 take away 3?\nAnswer: 18702051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.007214 rounded to 3 decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152) + (sqrt(152) + sqrt(152) + -1*sqrt(152) + sqrt(152))*6)\/(-2*sqrt(8)*-2).\nAnswer: 13*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b315 + -3?\nAnswer: -b318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 376162.4 minutes to nanoseconds.\nAnswer: 22569744000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*b + 27094 = 7*b. What is the greatest common factor of 23 and b?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, -1072, 4, 10.\nAnswer: -1072, -5, 0, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (214 - 192) + 2 + -13?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.76889 + -0.765. What is y rounded to 4 dps?\nAnswer: 0.0039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25 + 25 - -1 - (-2 + 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 849091901.\nAnswer: 7, 127, 223, 4283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 23 + -44 + 0 + 76 - (0 + 10)\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (18 - -14)*(-7)\/2. Which is smaller: d or -225\/2?\nAnswer: -225\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2545 > 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s**4 - 3*s**2 + 3*s**2 + (s**3 + 3*s**3 - 3*s**3)*(-6*s + 2*s + 2*s) - 14*s - 6*s**4 + 14*s - 14*s**2 - 21*s**4 + 14*s**2.\nAnswer: -27*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00017853066 to 7 decimal places.\nAnswer: 0.0001785","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 41952 and 114.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 169700621 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 28046721851 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -258*d**2 - 14*d**3 + 258*d**2 + (0 + d**2 + 0)*(-4 - 2*d + 4) + (2 - 2*d**2 - 2)*(-4 + d + 4) to p + g*d**2 + m*d**3 + h*d and give m.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-45)\/(-18) + -5 + (-2)\/(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -33*a + 37*a - 20 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 7*n**2 - 4*n. Let a be 159\/2 + 7 - 1\/2. Let k be (-1)\/2 + a\/(-4). Let f(r) = 2*r**2 - r. Give k*f(y) + 6*p(y).\nAnswer: -2*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 258*i + 0 - 2 to y*i + x and give y.\nAnswer: -258","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*j = -39*j + 3*j + 148 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -155\/156 and 21\/10.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -6*(-1 + (5 + sqrt(17))**2*-3).\nAnswer: 180*sqrt(17) + 758","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7951 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**3 + 24*i**2 - 64*i.\nAnswer: 4*i*(i - 2)*(i + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -328 divided by 82\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5)\/3 + (-4)\/(-6). Let g = -5 + 95. Let h = g - 90. Which is the nearest to x? (a) h (b) -0.1 (c) -0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -y - 3 + 3 + (-4*y - y + 3*y)*(4 + 1 - 4) + 5*y - 6*y + 2*y + y - 4*y + y + (-25*y + 12 - 12)*(2 - 4 + 0) to x*y + f and give x.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 191172 to the power of 1\/3, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2488475449 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-11) + (-1150)\/(-275)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a + 2 - 2 + (2*a - 5*a + a)*(0 - 1 + 2) + 0*a + 3*a - a + (10*a - 2*a - 2*a)*(2 + 3 - 7) to r + p*a and give p.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of -f**2\/2 - 9*f + 4. Let t(c) = 1. Suppose 6 = 4*h - 50. What is h*t(l) + 2*o(l)?\nAnswer: -2*l - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 2*v**2 + 4*v. Let g = 54 + -49. Suppose 0 = -g*x + 5*i + 14 + 11, 2*x + 4 = -5*i. Determine r(x).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4032) + -2 + -4 + (sqrt(4032)*-2*2 - sqrt(4032)))*5*-3)**2 + 5.\nAnswer: 259200*sqrt(7) + 14523305","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8\/32*(2944\/(-3))\/(-4). Let f be (-43)\/8*20\/3. Let h = n + f. Calculate the common denominator of -115\/12 and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*t - u - 627 = -561, -34 = -5*t + u for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of -4*h + 1\/18*h**4 + 0*h**3 + 0*h**2 + 0 + 1\/30*h**5. Solve i(d) = 0 for d.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8972701 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -282 + 412. Suppose 0 = -2*c - s + 45, -6*c + j = -c - s. Let w = 31 - c. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -71349855020 rounded to the nearest one million?\nAnswer: -71350000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 750300, 1500672, 2251044?\nAnswer: 3001416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*p = -3*v - 21*p + 68, -p + 5 = 0. Solve 0 = -2*y + v*y + 42 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14284 + -15889. Are a and -1604 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + 1. Is 0 - (-7 + o) - -523 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 ((-99)\/45)\/(-1 - 0) and 109\/12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 0*p = 24. Let r(s) = -2*s + 24. Let i be r(p). Suppose i*q - 64 - 80 = 0. What is the greatest common divisor of 6 and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 4*o - 94, -3*o - 5*a - 64 = -6*o. Suppose 3*r - 22 - 11 = 0. Let i = r + 12. What is the greatest common factor of i and o?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38 + 4 - 45*z + 41*z.\nAnswer: -4*z + 42","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/324525 and -29\/57.\nAnswer: 6165975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2708680189 a multiple of 110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 4 + 4 = 0. Let h(d) = -9*d - 1. Let t(i) = 4*i + 1. Determine s*h(c) + 5*t(c).\nAnswer: 2*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, e: 9}. Give prob of picking 2 k.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1539)*-1*4 - (-1 + sqrt(1539) + 1))*2*-6.\nAnswer: 540*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10110101111111100111110 - -1100111?\nAnswer: -10110101111111011010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23160 to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 22*k**3 - 1 + 8*k - 9*k.\nAnswer: 22*k**3 - k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, -30, 2 in increasing order.\nAnswer: -30, -1, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*i**2 + 10*i**3 + 2*i**2 + 1 - 49*i - 47*i + 95*i in the form s + j*i**2 + a*i + v*i**3 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 543?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3960.13 + -3959. Let r = 105.27 + -106. Let g = r + h. Which is the second biggest value? (a) 10 (b) g (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -5*y + 965, -4*y - 3*g + 713 = -62. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the second derivative of -w**7\/2520 + w**6\/144 - w**5\/40 - w**4\/12 - w. Let b(y) be the third derivative of a(y). Is b(2) 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 -89*b**5 + 2*b**3 - b**2 + 3*b - 2550?\nAnswer: -1780*b**3 + 12*b - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*t - 1404623 + 1405535 = 0 for t.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 19 = 2*m, 0*u + 2*m + 11 = 5*u. Solve 0*l - 6 = -u*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -225 - 234.\nAnswer: -459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18 - 1) + 12 - (0 - -2).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times 0.2115?\nAnswer: -0.0846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 - 6*j**2 - 7*j - 7. Let t be i(-5). Let y = -8474 + 59579\/7. Let p = y + -37. Which is the third smallest value? (a) t (b) p (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x*x*x**(-14\/5)*x*x*x)\/x**(2\/11))\/(x\/(x**(2\/29)\/x))**(-16))**7 assuming x is positive.\nAnswer: x**(378658\/1595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -655 + 666. Suppose -44 = -u*t + 44. Solve -12*c + 10*c = t for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 58 (b) 2 (c) 0.06 (d) 7\/4 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -239 - -243.28. Let j = 0.28 - q. Does j = -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/2 + 4\/8. Let w be (2 + -22)*(-2)\/5. Solve z*t = -2*t + w for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of -1\/16*t**4 + t + 5\/12*t**3 - t**2 + 5. Suppose u(w) = 0. What is w?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 138 and 345.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 767 or 128274\/167?\nAnswer: 767","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(-6) + (-21)\/(-108)*-3. What is the closest to -2 in -2, 4, m?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 3\/1759, 0.03534?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000363 rounded to seven dps?\nAnswer: -0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1080 and 90630.\nAnswer: 1087560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 24 = 9*x - 4*u, -3*u = 3*x. Suppose -21 = x*r - 69. Suppose -4*t + 4*h + r = 0, -2*t = -t - 4*h + 5. What is the remainder when t is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4199564\/3499645 + -2\/699929. Let c be 6\/14*4\/(-6). What is the second biggest value in 0.4, k, -0.1, c?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 1 (b) 0.43 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/7 - (17\/(-153) - 6779\/63). What is the greatest common divisor of y and 72?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-2)\/(r*r**(-5))*(r\/(r\/(r\/(r**2*r)*r)))**(-2\/9) assuming r is positive.\nAnswer: r**(20\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -815, -779, -739, -695, -647, -595?\nAnswer: -539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5763413 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19*b + 10 + 4 + 2 + 581*b**2 - 10 - 2 wrt b?\nAnswer: 1162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v - 20. Let l(g) = g - 19. What is -7*l(z) + 6*m(z)?\nAnswer: -z + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -245 by -16.\nAnswer: 245\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34890 is divided by 61.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/4 + 14142\/840. Let f = 84\/5 - h. What is the nearest to 0.1 in -8, f, -3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**2 + 193*z + 1210. Let o be w(-6). Solve 0 = -10*n - 26 + o for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(38) + sqrt(152) + 1*sqrt(152))\/(sqrt(56)\/sqrt(7)))**2.\nAnswer: 475\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1351 and 11?\nAnswer: 14861","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -23? (a) -0.3 (b) -1\/8 (c) -5 (d) 0.5 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*c - 28056 = -26256 for c.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5254399 to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -94, -185, -270, -349, -422, -489?\nAnswer: -550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 7, m: 4, c: 5}. What is prob of picking 2 c?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**25)**(-2\/37)*g**(-38)\/(g\/(g\/(g**28\/g*g))*g) assuming g is positive.\nAnswer: g**(-2529\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o - 2. Let b be s(-4). Suppose -5864 = b*g + 7136. Round g to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 107266026.\nAnswer: 2, 3, 7, 367, 6959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 2*k - 1. Let m(x) = -3*x. Let g(b) = -m(b) + w(b). Let j(i) = -9*i + 2. Calculate -10*g(o) - 6*j(o).\nAnswer: 4*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10513 is divided by 3466.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - -29. What is the common denominator of -5 - -2 - (-153)\/t and 23\/22?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 + (2 - 4))*2. Let a(s) = -s**3 - 2*s**2 + 2*s. Let h(o) = -4*o**3 - 7*o**2 + 7*o. Give d*h(p) - 7*a(p).\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1593920 and 33660.\nAnswer: 157798080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*k + 5*k + 700 = 0. Solve 17*q = -3*w + k*q + 21, 0 = 4*w + 4*q + 4 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 - 7*s**2 + 27*s + 9. What is z(-8)?\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 - 2*g - 1. Suppose 3*v - 629 = -164. Let q = v + -150. Give a(q).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/11)\/p)\/(p*p**(-5))*p**(7\/5)\/p*p**11 assuming p is positive.\nAnswer: p**(782\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 5*j + 24. Solve j = -r + 2 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -183*v = -9*v - 5046 for v.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 183 - 181.2. Let l = -1.02 - v. Round l to one dp.\nAnswer: -2.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 - -2 - (-16 + (-8 - -15)) - -2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 555550948.\nAnswer: 2, 138887737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -4566402 (base 7) to base 5\nAnswer: -121240133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -63, -67, -57, -27, 29, 117, 243?\n\"Answer: f**3 + f**2 - 14*f - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 + 18. Solve -q*h = -3*h + 2 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/13874 and -71\/1982.\nAnswer: 13874","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -8 (b) 1 (c) 0.2 (d) 9\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dnz when three letters picked without replacement from tndzr.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3\/3 - 46*k**2\/3 + 310*k\/3 - 650\/3.\nAnswer: 2*(k - 13)*(k - 5)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0013 + -79.\nAnswer: -78.9987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000012716 rounded to seven dps?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -100110010000 (base 2) in base 14?\nAnswer: -c6c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**17\/t)\/t*t)\/t*t**(-1\/22) assuming t is positive.\nAnswer: t**(329\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/6 + 326556\/(-10152).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p - 9. Let u be w(4). Suppose -2*c = -j - 3*c + 9, 29 = j + 5*c. Let i be (j - -1)\/((-1)\/u). Solve i*r - 2*r + 9 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 2*w + 10 = 0, 1 = -5*v + 4*w - 2*w for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2d2dc (base 15) to base 6\nAnswer: 3042530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117038739 is divided by 39012912.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iissssssiiissisi. What is prob of sequence ss?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 356 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1961 * -0.28\nAnswer: -549.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3 and 264.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of 0*d**3 + 0*d - 37*d**2 - 7\/15*d**7 + 11\/10*d**5 + 0*d**4 + 0*d**6 + 0. Find the third derivative of i(o) wrt o.\nAnswer: -2352*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114530209 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, 1, 0 in ascending order.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -10724, -8, 4, -5\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 461685 (base 10) in base 5?\nAnswer: 104233220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -7280, -7297, -7314?\n\"Answer: -17*q - 7263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhss when four letters picked without replacement from hhssshn?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5*3\/((-30)\/(-4)). Let p be (o\/(-30))\/((-2)\/24). Let j = -31\/18 - 7\/9. What is the nearest to 2\/3 in p, 2\/5, j?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2180, -2182, -2184, -2186, -2188, -2190?\nAnswer: -2192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ia when two letters picked without replacement from {a: 2, n: 1, i: 1, s: 2, p: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1694 greater than or equal to 1716?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*g - 113 - 55 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-3)*54\/144.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -13*q**2 + 1804*q - 11601. Calculate m(132).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 PM and 2:08 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 5, 1, -1\/2, 31?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*j + 69 = 3*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rhhidhiiohdrdtdor. Give prob of picking 1 r and 2 h.\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 0, -11\/21, -0.39?\nAnswer: -0.39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -138 + 688\/5. Let k = -534 + 529. Which is the closest to -1? (a) k (b) g (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-7779)\/28329 - (-4)\/14. Let r = j + 90083\/26980. Calculate the common denominator of r and (-2)\/8 + (-265)\/80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 84 - 80. Solve -t*i + 3 = -3*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1568 to the power of 1\/2, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -95654 and 483?\nAnswer: -46200882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -2*r + 4. Let g(t) = -4*t**2 + 4*t + 30. Calculate the smallest common multiple of k(-4) and g(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 8. Let k(d) = d - 5. Let a be k(u). Solve -3*x + a*x - 12 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 158 - 99. Let -2*t**2 + 63*t**3 - 114*t**3 + v*t**3 = 0. What is t?\nAnswer: 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1017 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2822 divided by 4?\nAnswer: -1411\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2227.\nAnswer: 17, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/13, 4\/7, -531, 0.3?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (150 - (-9 + (14 + -28 - -8)) - 11) + -11?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -1186459.\nAnswer: -1\/1186459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 6:39 PM?\nAnswer: 3:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16781 + 16781 - 6*h**2 + 4*h**2 + h**2.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 5*r + 5769 + 1931, 3*c + 2*r = 11550. Suppose -22*h + c = -17*h. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -11069.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 54.099999661 + -54.1. What is c rounded to 7 decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -4*b + b + 24, -2*b + 5*g - 19 = 0. Let d(r) = 24*r**2 - 3*r + 3. What is the units digit of d(b)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -853 + 291?\nAnswer: -562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 238277654?\nAnswer: 2, 23, 127, 40787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) -4 (c) 3\/5 (d) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (50\/35)\/((-1)\/(-14)). Suppose -3*d - x = 55. Let v be d\/4 + 2\/8. Is -6 bigger than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 49249 and 2193.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1526 + 2216. What is the greatest common divisor of c and 69?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -3*r - 66 + 10*r - 29*r + 66. Let c(p) = 0*p + 2*p + 3*p - 4*p + 3. Let o(v) = 2*v + 5. Let x(y) = 10*c(y) - 6*o(y). What is u(x(s))?\nAnswer: 44*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1565?\nAnswer: 5, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 - 6. Suppose k*x - 24 = 72. Suppose 4*j + 5*f = -39, -x = 4*j + 4*f + 12. Are j and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46248563 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t = -8*t + 42. Suppose 9 = -2*s - 33. Is s <= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2, -2\/49, 0.3, 2\/5, 4.2?\nAnswer: 4.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 91*m - 41*m**2 + 4*m**3 + 40*m**2 + 85*m - 2*m**4 as l*m + t*m**2 + y*m**3 + u + i*m**4 and give l.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -66006 < -66006?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 11*z. Let v(m) = 53*m. Calculate v(s(n)).\nAnswer: 583*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, 1930, 28 in descending order.\nAnswer: 1930, 28, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f - 2. Let p be l(2). Suppose 4*a = -p*a + 32. Differentiate 2 + m - 3 + a wrt m.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**1*s**(-1)*s)**43\/((s**(-1)*s*s)\/((s*s\/(((s**(-2\/31)\/s)\/s*s)\/s))\/s))**(-34\/3) assuming s is positive.\nAnswer: s**(5822\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 22\/25 (b) -31 (c) 0 (d) 1\/3 (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -3*m**2 - 18*m + 15. Let i(v) = v**2 + v - 1. Give -18*i(g) - p(g).\nAnswer: -15*g**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 3*c - 18, -h = -4*h - 4*c + 13. Let n be ((-90)\/280)\/((-6)\/(-16)). Sort h, -4, n in ascending order.\nAnswer: -4, n, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 divided by 805?\nAnswer: 8\/115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 126 and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 r, and 1 y when three letters picked without replacement from {y: 3, r: 5, a: 5}.\nAnswer: 75\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 65, 1, -4, 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/17 + 7\/(-126)*-2 + 93896\/6732.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 96 and 25962.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 14490 + 52319. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 5*c + 5. Let u = 3 + -3. Suppose u*f = 4*q - 4*f, -f = -4*q - 9. Let h(r) = -19*r + 30*r - 4 - 15*r. Give q*n(g) - 4*h(g).\nAnswer: g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3730, -7456, -11182?\nAnswer: -14908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1150535 (base 6) to base 15.\nAnswer: -13195","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**4\/(p\/(p\/p**(6\/5)))*((p**(-10)*p)\/p)\/((p**(-13)*p)\/p))**23 assuming p is positive.\nAnswer: p**(667\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125399 is divided by 200?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-20)\/(-16)*-17 - -2. Let s = j + 547\/28. Factor s*t**2 + 2\/7*t + 0.\nAnswer: 2*t*(t + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/8836209 and -89\/116127.\nAnswer: 97198299","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 33 - 35. Let p = 1.99 - 2. Sort 2, p, o in increasing order.\nAnswer: o, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12 - ((2 - 2) + -2). Suppose -5*l - 774 = -o*l. Is 35 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of 0*l - 5\/6*l**3 + 0 + 0*l**5 - 1\/5*l**6 + 0*l**4 + 36*l**2. Find the first derivative of m(c) wrt c.\nAnswer: -72*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 348 + -255. Suppose h*m - 86*m = 30121. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 3780?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*2*(-3 + sqrt(1372) - sqrt(1372))*-5*2.\nAnswer: -360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/10 + (-537663)\/1709820. Let b = 1\/708 + q. Is -0.1 smaller than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26 - -30. What is the closest to -2\/3 in -0.5, -3, o?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 752, 759, 770, 785, 804?\nAnswer: 827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 430 and 88494?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkkkkckcckkkk. What is prob of sequence kc?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 113 - 108. Solve 0 = -4*p + 16, -m*f + 3*f + 2 = 3*p for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7675 by 1535.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(400))\/sqrt(8) + 3 + (1*(sqrt(14) - sqrt(28)\/sqrt(2)))\/(2*sqrt(112) + sqrt(112) - sqrt(112)))**2.\nAnswer: -60*sqrt(2) + 209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3554\/13*p - 1420\/13 - 10\/13*p**2.\nAnswer: -2*(p - 355)*(5*p - 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -146 or -3822?\nAnswer: -146","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1\/149 - -301\/447. Suppose 1\/3*p**2 - 1\/3*p - u = 0. Calculate p.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -199\/510 and -161\/18918246?\nAnswer: 94591230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 6\/5 of a kilogram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -35 + 75. Suppose 0 = 2*g - 7*g + i. Let r(b) = b. Let u be r(0). Solve 2*d + u = g for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17 - 18 - 2)*(w**2 - 3*w**2 + 4*w**2).\nAnswer: -74*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 185849 divided by -185849?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 + 11 = -2*t. Let n be (-12)\/(-18)*-129*t. What is n rounded to the nearest 100?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - (-5)\/10)*-24. Solve 4*g = -g + k - a, -2*g - 3*k = -2 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, -49, -145, -321, -601, -1009, -1569?\nAnswer: -2305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(-2)\/(-12)*-561*(-112)\/(-1904)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5282160577?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 47035613 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 156 is divided by 32?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x + 0*x - 4*x)*(5 - 12 - 10)*(-2 + 5 - 2).\nAnswer: 119*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 3)*((1 - 4 + 1)*(2 - 2 - 2*x) + 648*x - 216*x - 29*x).\nAnswer: -1628*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 11 = -3*a, -5*n + 65 - 73 = 4*a for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -83 * -5\nAnswer: 415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 10, -2, 3, -6 in decreasing order.\nAnswer: 10, 3, -2, -6, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 23163712 to the power of 1\/2, to the nearest integer?\nAnswer: 4813","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3428, 3474, 3502, 3506, 3480, 3418, 3314?\n\"Answer: -b**3 - 3*b**2 + 62*b + 3370","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 33043 + -3?\nAnswer: 33040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1033730 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2. Let u(n) = n**2 + 4*n. Suppose 4*s = -44 - 88. Let l(i) = -9*i**2 - 33*i. Let h(v) = s*u(v) - 4*l(v). Give q(h(k)).\nAnswer: 9*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 67.418 rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1215)\/(-1701))\/((-1)\/(-7)). Solve 5*i + v*t - 30 = 0, 0 = -5*i + i + 5*t + 6 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 42854? (a) 15\/8 (b) -0.3 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2186773343 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, -7\/4, -11, 1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-19)\/3 - 1)\/(56*(-77)\/6468)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20521 - -20525. Does 734 = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4094864 + 0.112\nAnswer: 4094864.112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -2*p**2 + 23*p - 8. Let o be h(11). Suppose -s - 3*s = o*g - 16, g + 2*s - 8 = 0. Solve g*r = r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6\/5 (b) 8 (c) -8407\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -154 - -148. Let v be 1\/(-8)*(-2 + -2 - h). What is the closest to -2 in v, -3, -18\/11?\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 69363?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -c**3 + 10765*c**2 + 6*c - 568363 wrt c?\nAnswer: -3*c**2 + 21530*c + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 - 9*r**2 - 9*r - 10. Determine a(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 67*w**2 - 2*w - 707. Let h(q) = 11*q**2. Give -6*h(r) + x(r).\nAnswer: r**2 - 2*r - 707","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 22418, 44819, 67240, 89687, 112166?\n\"Answer: b**3 + 4*b**2 + 22382*b + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(500) - (3 + sqrt(500)*-1))**2 - ((-2*sqrt(500) + sqrt(500))**2 + 2).\nAnswer: -120*sqrt(5) + 1507","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 13*u - 30. Let z(l) = -7*l + 15. Calculate -6*v(b) - 11*z(b).\nAnswer: -b + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -123 + -1?\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*a - 14, 5*a - 21 = -3*d - 8 + 13 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x**4\/2 - 1043*x**3\/2 - 2089*x**2\/2 - 1045*x\/2 = 0. What is x?\nAnswer: -1, 0, 1045","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*a**3 - 3 - 9*a**4 + 1 + 0*a**3 + a**2 - 1 to the form s*a**2 + u + t*a**4 + c*a**3 + j*a and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 91 - 727\/8. Let m = 94 - 660\/7. Which is the third smallest value? (a) m (b) l (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4272.9 + -4090. What is b rounded to the nearest 10?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes before 12:48 AM?\nAnswer: 11:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -40142, -40141, -40140, -40139, -40138, -40137?\n\"Answer: h - 40143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10\/(-35) + (-32)\/(-14). Suppose 4*j + q*m = 42, 0*j + m + 9 = j. Suppose 3*a - j = -5*t, 0 = 5*a + 4*t - 2*t - 23. Put -1, 2, a in decreasing order.\nAnswer: a, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.038 + -0.162. Sort -0.1, 1, b in descending order.\nAnswer: 1, -0.1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s + 1. Let v(g) = -47*g + 16*g + 24*g + 16*g - 6. Give -5*d(x) - v(x).\nAnswer: -4*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 303 + -115 - 87 - -8.\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 178*w + 10679 - 3570 = -4461 for w.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 103380703 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4953 + -1077?\nAnswer: 38ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15211889 to the nearest integer?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11142 or -323130\/29?\nAnswer: -11142","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1712*c**3 + 382*c**2.\nAnswer: -10272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 152 and 106514?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1133 + -2?\nAnswer: 1131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(((-41160)\/(-100))\/49).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 70 - 3*r**2 - 15*r - 83 - 25*r. Let i be w(-13). Solve 7*c = -i*c - 35 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2\/11571 + -1285\/3857. Suppose 0 = -0*t + 4*t + 4. What is the smallest value in w, t, 4\/3, 2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as -2\/147159?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 0.4 (b) 0 (c) -1\/3 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000760928378 to 6 decimal places.\nAnswer: 0.000076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 251 - -184614?\nAnswer: 184865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -42184\/3 - -161755\/12. Which is smaller: -582 or s?\nAnswer: -582","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*w**2 - 7*w**2 + 23 + 661 - 291 in the form z + i*w**2 + m*w and give z.\nAnswer: 393","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 - y - 1. Let r be z(1). Let u be 22\/(-8)*(-5 - r). List the prime factors of 152\/u - 12\/(-66).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000.31 rounded to the nearest one hundred?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24 and 3248?\nAnswer: 9744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3847 - 2818. Calculate the remainder when u is divided by 71.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22\/66*(-19)\/(38\/(-120))\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-18)\/(-48) + (-53)\/(-8). Suppose -241 = -8*v + m. Which is smaller: v or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 217 is divided by 101.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 14671*r + 159. Is d(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(1008) + 0 + sqrt(1008).\nAnswer: 5 + 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 0*m - 16*m + 2*m**2 + 13*m - 18 + m**2 = 0. What is m?\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 + 98*o**2 + 197*o + 300. Let d be i(100). Suppose 2*y**2 + 1\/9*y**4 - y**3 + d*y + 0 = 0. Calculate y.\nAnswer: 0, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2566\/(-8) + (1\/(-2))\/(24 + -22). Which is bigger: d or -314?\nAnswer: -314","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 51391, 102820, 154311, 205864, 257479, 309156, 360895?\n\"Answer: 31*r**2 + 51336*r + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 37163\/5 - 7462. Let w = x - -29. Let s = -1 - -0.9. What is the third biggest value in w, s, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 19, 54, 113, 196?\n\"Answer: 12*w**2 - w + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r**5\/2 - 5*r**4 + 15*r**3\/2 + 45*r**2 - 108*r = 0. What is r?\nAnswer: -3, 0, 3, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of -w**6\/600 + 51*w**5\/100 - 2601*w**4\/40 + 44217*w**3\/10 - 46*w**2 + 3*w. Find i, given that b(i) = 0.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**2 + 4*l + 1. Let z be c(4). Which is bigger: 0.4 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 3 = 4*l. Let u be (-6)\/(-8) - 5\/(-20). Let a = l + u. Let y(q) = -q**2 + 4*q - 3. Give y(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 48*f - 82*f + 13*f**2 - 1 - 4 - 6 + 27*f. Let m(u) = -7*u**2 + 4*u + 6. Give -11*m(w) - 6*p(w).\nAnswer: -w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -55310, -55336, -55364, -55394, -55426, -55460, -55496?\n\"Answer: -s**2 - 23*s - 55286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -14.25 and 11401022.\nAnswer: 11401007.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 48\/55 and (-128)\/330 + (14\/(-3))\/7.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.007 - -0.061. Let l = m - -10.932. Which is the nearest to 1\/2? (a) 5 (b) l (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22)\/10*180\/(-36).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 256\/517?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 3*x**3 + 2*x**2 - 2*x. Suppose 5*h - 39 - 71 = 0. Let s = h + -20. Let r(b) = 2*b**3 + 7*b - 4*b**2 - 3*b**s - 12*b**3. Give -7*g(n) - 2*r(n).\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 5955.697 nanometers?\nAnswer: 0.005955697","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -247 times 0.4?\nAnswer: -98.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -6*w**2. Let s(d) = 14*d - 8*d - 4*d - 3*d. Give y(s(h)).\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sjsnasajns. Give prob of picking 1 n and 1 a.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, 8931, 2, -3\/2, 1\/15?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7.6 - -6. Let a = -11.6 - y. Let l = a - -10. Put -1\/8, 1, l in increasing order.\nAnswer: -1\/8, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -76 - -82. Suppose -x + c = 3*j - 2*x, j + 2*x = 9. Suppose -2*h = j*r - 7*h - 4201, r - h - 1399 = 0. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 39 + 13 = -10*q, 5*g - 15 = q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -7*j + 42. Let g(m) = 3*m - 8. Let p be g(0). Calculate the remainder when n(p) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -6*f. Let y(m) = -139*m. Give j(y(l)).\nAnswer: 834*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*y + 359 = -96. Is (-3)\/21 + (-1 - 223515\/y) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1097749?\nAnswer: 97, 11317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8.965109l?\nAnswer: 8965.109","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -138*r - 187*r - 224*r + 112*r.\nAnswer: -437*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1535 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2 + 2 + c)*(2 + 2 - 2) - 12*c + 11*c - 14*c)*(5*c**2 - 5 + 5) + (3*c**2 - 3 + 3 + 2)*(-1 + c + 1) as f*c**2 + a + i*c**3 + o*c and give i.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/((-1350)\/20))\/((-268)\/(-335))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5966973517 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4 - -11) + 4 - (55 + -13)) + -8.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -18\/67075759 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least -49\/99683?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Is 93417825 a multiple of 3470?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 1. Let l = -71.5 + 72. Sort 2, s, l in decreasing order.\nAnswer: s, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 4)*(h**3 - 178*h**2 + 178*h**2 - 1 - 4*h).\nAnswer: -3*h**3 + 12*h + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32, 155, 360, 647, 1016?\nAnswer: 1467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and 999.07609?\nAnswer: 3996.30436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -45 - -44.999564. Round r to four decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2032)\/(-1778)*(-14)\/(-12).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 e when three letters picked without replacement from {f: 5, a: 1, e: 5}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3281\/2316 - (9\/4 + -1)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000363 rounded to 5 dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:44 PM and 9:53 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1553002.3 times -0.2\nAnswer: -310600.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -72595*b**3*g**2 + 6*b**3 - 4*b**2*g**2 - b*g**2 - 23*b + 10297*g**2 wrt b.\nAnswer: -435570*b*g**2 + 36*b - 8*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gcziyizzicizzgzcyii. What is prob of sequence yg?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 1246.\nAnswer: 6230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/(-7)*126\/(-36)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 87\/9 + 6\/(-9) - -2. Let f(g) be the third derivative of g**6\/120 - g**5\/6 - g**4\/2 + 7*g**3\/3 - g**2. Let b be f(v). Solve 0*h + b*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 2*b - 60 = 0. Let o be -3*(11 + b - 19\/(-21)). Let s be ((-236)\/54 + 4)*6. Which is smaller: o or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-3)\/4)\/(-1))\/(30\/16)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1366 - -2107. Let i = s - 473. Calculate the greatest common divisor of 4 and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - 4*n + 913, -5*b - 4*n = -3*b - 370. Suppose -j + b + 109 = 4*q, 0 = 3*j + 2*q - 820. What is the tens digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -88 + 91. Let y be 58\/10 + ((-112)\/(-35) - m). Suppose 7*u - y*u = -q + 2, -2*q = 3*u - 2. Solve -5*h = 3*c - 6, q*h + 3*c = 4 + 2 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 222 - 1337\/6. Let g = -6 + 5.4. Let k = g + -0.4. What is the second biggest value in -2\/7, u, k?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 2*b - 60. Let c be o(-18). Let g = c - -96. Solve 4*n - 16 = 0, z + 4*n = -g*n + 14 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 103478721?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 9 = -5*w + 1, -2*q = -2*w + 4. Find the third derivative of -5*s**2 - 2*s**w + 0*s**2 + 4*s**2 + 2*s**4 wrt s.\nAnswer: 48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53653100 to the power of 1\/2, to the nearest integer?\nAnswer: 7325","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*p + 12110 - 12104 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 f, and 1 x when three letters picked without replacement from {d: 5, e: 1, t: 1, x: 1, f: 3}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -83532 and -2469?\nAnswer: 206240508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2180843 and 245.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8619 and 1147848?\nAnswer: 19513416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -8*s**2 + 3222*s + 806 = 0.\nAnswer: -1\/4, 403","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*b**2 + 4 - 5 + 3*b**2)*(-2 - 7 + 4)*(-3*b + 4*b - 3*b) in the form x*b**3 + q*b**2 + a*b + l and give a.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 11:19 AM?\nAnswer: 6:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 0.4, -5, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-y + 3*y - y)*(4 + 8 + y - 9) in the form t*y**2 + w*y + g and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 5*k - 6 - 5 = 0, -4*k - 7 = -d. Let i(b) = 209*b - 6. Let n(m) = -10659*m + 304. Let o(q) = 152*i(q) + 3*n(q). What are the prime factors of o(d)?\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p**3 - 15*p**2 - 27*p - 13 = 0.\nAnswer: -13, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 + 14*r**2 - 23*r + 4. Let w be f(12). Suppose 10*q - 6*q = w. Suppose 2*b - 264 = -k, -b - q*k = -60 - 79. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence viii when four letters picked without replacement from {i: 6, v: 13}.\nAnswer: 65\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-128*r**2 - 7*r**2 - 986*r + 990*r)*(0*r - 2*r + 0*r).\nAnswer: 270*r**3 - 8*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -7, -179, -0.821?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(171) + -1)*6 + 3)**2.\nAnswer: -324*sqrt(19) + 6237","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -4*y - 5*o - 15, -2*y + 6 = -2*o. Suppose f + y*f - 101 = 0. What are the prime factors of f?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 690 = 4*s, -x + 3*s + 339 = 4*s. Let g = x + -82. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 3)*(0 - 18 - 14)*(-5 + 3 + 0)*(-8*c + 3*c + 6*c).\nAnswer: 64*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17026, 3623, -18710, -49967, -90142?\nAnswer: -139229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 1:49 AM?\nAnswer: 11:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 + 19. Let f(k) = k**3 - 3*k**2 + 3. What is the units digit of f(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-7) + (-258)\/(-21). Suppose 4*l + p = -0. Let a be (24\/16)\/((-21)\/(-4)). What is the smallest value in l, a, 1\/7?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + a = -1, -5*a + 4*a = 2*g - 11. Suppose 7 = g*t - 8. Suppose -w - 3 = -2*s + 7*s, s = -t*w + 57. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -641 greater than or equal to -14755\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 3*u**2 - 1. Suppose 0 + 3 = -3*q. Let h be k(q). Suppose -h*y = y - 12. Solve y*p + 12 = -0*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x*(x*x**(2\/41)*x)\/x)\/((x**(-12\/7)*x*x)\/x))**(-2\/3))**44)**47 assuming x is positive.\nAnswer: x**(-3279848\/861)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -137*q**3 - 222*q**3 + 103*q**3.\nAnswer: -256*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0*(-4)\/(-12) + 17. Calculate the highest common divisor of 17 and b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 - 20*a**2 + 2*a + 47. Give n(-20).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of c**4\/12 + 9*c**3\/2 - 4*c**2. Let p be r(-14). Let i(u) = 3*u**2 + u + 1. Determine i(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*d = 18*d - 43337. Suppose -228 = -5*n + 2. Calculate the remainder when d is divided by n.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -2*k**2 - 177*k + 1064. Determine t(6).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 5*a = -30, -5*a - 31 = -51. Solve n*o + 2 = -8 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 217 + -216. Suppose p + 4 = -j, 2*j = 2*t - 486. What is the highest common factor of 34 and t?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 164 + 185 - 375*p**2 - 350 - 67*p.\nAnswer: -375*p**2 - 67*p - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 11 = -7*g, 3*v - 2*g = 13 - 20 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 3*r - 7, 0 = 2*r + 3 + 1. Let q be (-2)\/2 + u + 0. Solve -5*s = -q*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -389 divided by 15218.\nAnswer: -389\/15218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1063 and 0.5.\nAnswer: 531.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + x - i + 27 = 0, -3*i = -3*x + 9. Suppose 2*r - 20 = 3*y, 5*y + x*r - r = -4. Let w(s) = s**3 + 3*s**2 - 2*s + 2. Give w(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.82 - 1.92. Put 0.01, -1\/7, d, -0.3 in increasing order.\nAnswer: -0.3, -1\/7, d, 0.01","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-51397221)\/(-94))\/((-5)\/1210). Let l = -377783223375539\/2855062 - b. Let r = l - -2\/4339. Calculate the common denominator of -79\/2 and r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/5, 9, 3.167, -0.1, -1\/8 in ascending order.\nAnswer: -1\/8, -0.1, 6\/5, 3.167, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 4*n**2 - 3*n. Let b(z) = -3*z**2 + 7. Determine i(b(k)).\nAnswer: 36*k**4 - 159*k**2 + 175","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1932.613 - 1.613. Let o = l - 1904.51. Let q = -27 + o. Round q to one dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -19*(-3)\/(15\/5). Suppose 8 + 5 = 3*n + 2*a, 0 = -4*n - a + q. Solve 0 = -n*r + j + 4, 0*r = 3*r + 3*j + 12 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -131751 - -131748. Let g(z) = 2*z**2 + z - 2. Let s be g(-2). Sort s, 29, q in increasing order.\nAnswer: q, s, 29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = -5*d - 2, -3764*b = -3768*b + 5*d + 26 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 180 is divided by 31?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 + 15. Suppose m*a + 350 = -2*a. Let u be ((-120)\/a)\/((-1)\/(-7)). Solve -6*x - b - 29 = -x, 2*b - u = 4*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_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: Suppose 3*v - 2 = 19. Let q = 10 - v. Let c be 4 - (-1 + (q - 0)). Solve c = h - 0*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3. Let n be -2 + (0\/(-3) - 2). Let m(o) = 3*o**3 + 7*o**2 - 7*o + 8. Let r(f) = n*j(f) + m(f). Let p be r(6). Solve 6*g - 4*g + p = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -12*h + 309. Does 14 divide y(17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 395 and 70690?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -648*k + 2376990 = -669*k. Round k to the nearest 1000.\nAnswer: -113000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 129 and 52675?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 2*q = -10, -4*q - q = a - 25. Suppose -5*m - 120 - 270 = a. What is the remainder when 50 is divided by (-1)\/(-3)*m\/(-2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.88 and -4.5.\nAnswer: -8.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -16*r - 10. Let b be s(-17). Suppose a + 113 = 5*z - b, 5*z = 4*a + 375. Is z a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/25 of a kilogram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 5*c**2 - 2*c + 1. Let v be r(1). Suppose 2*b + 0*o = -2*o + 28, o = v*b - 66. Calculate the highest common divisor of b and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 541 = 29*d + 686. Let b(g) = -g**2 - 5*g. Let c be b(-4). Sort 5, c, d in descending order.\nAnswer: 5, c, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 8960*a = -8958*a - 16, 2*o = 3*a + 8 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10280787 is divided by 150?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -6. Let l = 10 - o. Which is the third smallest value? (a) l (b) -3 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26632507 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 550624 by 6.\nAnswer: 275312\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 9, 65, 165, 315, 521, 789?\n\"Answer: i**3 + 16*i**2 + i - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - 221220110210?\nAnswer: -221220110122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 857657 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1, 0.1, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10472820?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21)\/(3*sqrt(3)) - (sqrt(7) - (sqrt(189)\/sqrt(3) - sqrt(7))))**2.\nAnswer: 112\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48180476.\nAnswer: 2, 151, 79769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + -1 + sqrt(684))**2*-6.\nAnswer: -5592 + 84*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -46, 5, 1, -2, 6 in descending order.\nAnswer: 6, 5, 1, -2, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (12 + (-58862)\/5358).\nAnswer: -2\/141","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 60 + 24 = 3*h, 0 = -2*h - 5*f - 42. Let r = 6 + -1. Let v(z) = 3*z - 2. Let w(o) = 3*o - 2. Calculate h*v(x) + r*w(x).\nAnswer: -3*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -34 + 43. Let p(j) = h - 8 + 22*j + 2*j - 8. Is p(8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of -t**5\/60 - 41*t**4\/24 - 2*t**3 - 54*t**2. Does 21 divide k(-26)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 8352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -x - f - 8, 6 = x - 3*f - 2 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-9\/4)*i\/i**(5\/6) assuming i is positive.\nAnswer: i**(-25\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 717, 36, -1655, -4860, -10083?\n\"Answer: -84*j**3 - j**2 - 90*j + 892","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -283*h**2 - 2886 - 211 + 3097.\nAnswer: -283*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*v**5 + 5*v**4 - 5*v**4 + (3*v**2 - 3*v**2 + 2*v**3)*(3*v**2 + v**2 - 6*v**2) + 0*v**4 + 2*v**5 + 0*v**4.\nAnswer: v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 10397645 to the power of 1\/2, to the nearest integer?\nAnswer: 3225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, p: 2, b: 4, e: 2}. What is prob of sequence peeg?\nAnswer: 1\/630","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/u**(6\/7)*u)*u)\/(u\/u**43))\/(u**(14\/9)*u\/(u\/(u*((u*u\/u**(1\/90))\/u)\/u))) assuming u is positive.\nAnswer: u**(25397\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2*h. Let a(f) = -f**2 - 7*f + 10. Let y = 1 - 9. Let n be a(y). Let k(s) = n - 2 + 0 - 3*s**2. Calculate g(k(z)).\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1344 (base 6) in base 3?\nAnswer: -111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v - 1. Let t be d(-6). Suppose -2*a = 5*n + 5, -3*a = -4*a + 5*n + t. Suppose 0 = -a*l + l - 4. Solve -l*i + 3*k = -21, -3*k - k = 12 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*q**2 - 15712*q**3 - 5*q**2 + 0*q**2 + 15747*q**3 in the form j*q**3 + h + u*q + i*q**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -3*b + 57. Let g(k) = k**2. Calculate g(i(t)).\nAnswer: 9*t**2 - 342*t + 3249","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from {l: 5, b: 3, g: 2}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -4 - (31 + -38 - -6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*a**2 - 23*a**2 + 6*a**3)*(0*a + 4*a - 5*a) + (-4*a - 3*a**3 + 4*a)*(-3*a + a + a).\nAnswer: -3*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u**2 - 8*u + 15. Suppose -48*i - 108 = 228. What is h(i)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 486*u - 11559 - 3021 for u.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.814903 kilograms to grams.\nAnswer: 3814.903","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10936805 is divided by 152.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*(p\/(p**(-15\/4)\/p))\/p*p)\/(p*p**7\/p)*(p*p\/(p**(2\/55)\/p))**4 assuming p is positive.\nAnswer: p**(2553\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 40 and 4416.\nAnswer: 22080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1411541 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -10*f - 7. Let y(i) be the second derivative of 5*i**3 + 21*i**2\/2 - 5*i. Let g(n) = -17*u(n) - 6*y(n). Is g(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2924555 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + -0.02. Suppose -6 = 3*a + 2*x, -5*a - 3*x + 3 = -4*x. Which is smaller: i or a?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 82*(-66)\/(-451)*-4\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**4 + 2*n - 4*n + 5*n)*(4*n - 5*n + 0*n).\nAnswer: -2*n**5 - 3*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1540 - 1041?\nAnswer: 455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-259)\/1628)\/(2 - 1)*8\/(-2).\nAnswer: 7\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 3*p = -3*t, -t = -2*p. Suppose p*h + 24 = 4*h. Find the second derivative of -x - x**5 + h*x**4 - 6*x**4 wrt x.\nAnswer: -20*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -82 + 85. Suppose -4*w + w + 342 = a*r, 2*w + 5*r - 219 = 0. Suppose -x = w - 120. Solve -4*k - x = -k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 450054?\nAnswer: 2, 3, 11, 2273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -56 - -60. Which is the nearest to -2\/7? (a) w (b) 0.4 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**3\/8 - 3*g**2\/4 + 33*g\/8 + 9\/2.\nAnswer: -3*(g - 3)*(g + 1)*(g + 4)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1614459829.\nAnswer: 41, 1709, 23041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 2177.0571 months?\nAnswer: 18.1421425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -w - 3, w + 2*w + 13 = -q. Let r(k) = 3*k + 12. Let y be r(w). Solve -5 = 4*v + 5*n - y, 5*v - 4*n = 45 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 5 = 2*n + 7, 4*u = -4*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 - 16*p**2 + 57*p - 379. Calculate n(16).\nAnswer: 533","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -26876101, -53752204, -80628307, -107504410, -134380513, -161256616?\n\"Answer: -26876103*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 less than -15.494?\nAnswer: -15.694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the third derivative of -u**5\/15 - 3*u**4\/8 + 3*u**3\/2 + 9*u**2. Let c(a) = a**2 + 2*a - 2. Calculate 9*c(m) + 2*k(m).\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 169 (b) 1 (c) 0.9 (d) -4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 + 4*a + 5. Let r be m(-4). Let g = -52 + 33. Let n = -14 - g. What is the greatest common factor of r and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z**0\/z))**(-35)\/(z*z**1*z\/(z**4\/z)))\/((z**0)**(43\/3)*z**(-6)\/(((z*z\/(z*z\/(z*z**1\/z)))\/z)\/z)) assuming z is positive.\nAnswer: z**(-65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 1304, -51, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 15128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 7:18 AM?\nAnswer: 11:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 49*g - 134. Let a be n(3). Sort -3, 2, 4, a, 8 in decreasing order.\nAnswer: a, 8, 4, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -30, -2.\nAnswer: -30, -2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeeeeeee. Give prob of picking 2 e.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 8*g - 2. Give k(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j + 4. Let p be s(0). Suppose 0 = n - 0*n + 2, p*n + 14 = 3*x. Let d be ((-4)\/2)\/((-1)\/x). Solve -o - 3*g - d = 0, -5*g = -3*o - 3*g + 21 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 - 3*c**2 - 6*c - 1091. Let v(g) = -2*g**3 - 5*g**2 - 10*g - 2183. Calculate 5*k(d) - 3*v(d).\nAnswer: d**3 + 1094","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -58, 0.4, -2\/11, -1 in decreasing order.\nAnswer: 0.4, -2\/11, -1, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4554 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 374720277?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -60.26 + 5.\nAnswer: -55.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -272*c + 1717*c**2 - 278*c + 547*c - 2*c**3.\nAnswer: -2*c**3 + 1717*c**2 - 3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 4*v**2 - 9*v + 20. Suppose 24*l - 21*l = 15. What is the remainder when u(4) is divided by l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -152016263 (base 7) in base 10?\nAnswer: -10122416","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -70 - 278520?\nAnswer: -278600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express z**2 + 28497 + 4*z**3 - 28497 + 103*z in the form d*z + v*z**3 + j + i*z**2 and give d.\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1c8d6 (base 15) in base 9?\nAnswer: -151663","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -177961.005 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, 7\/8, -0.3, -79, 0.01, 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 4*d - 18 = 3, 0 = k + d - 8. Suppose o + 5 = 3*o - x, -3*x + 3 = 0. Suppose 8 = 5*f + z, 4*f + o*z = 2*f + k. Solve 2*v - f = 5 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 191 is divided by 40?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 - -22. Solve 2*w - z = -2*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + (-1 - 1) - -2) + 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 6*(((sqrt(7200) - (sqrt(7200)*-2 + sqrt(7200))) + -2 - (sqrt(7200)*-1 - sqrt(7200))*-2) + -5))**2.\nAnswer: 66240*sqrt(2) + 1038916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -85, -270, -557, -946?\nAnswer: -1437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9021793 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1085*c**2*j - 112*c**2 + 82*c*j + j - 249 wrt c.\nAnswer: -2170*j - 224","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*(a*a**(-3\/2))\/a)**(-45))**(-46))**(-40) assuming a is positive.\nAnswer: a**41400","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*(-3 + (-2 - -10)). Suppose -w*t + 4 = h - 3, 4*h - 58 = -5*t. Solve d = 3*r - 0*r + h, -2*r = d + 8 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from mtmtttllltmm?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1568) + sqrt(1568)*1)*2 + -6*(sqrt(512) - sqrt(512)*-1))**2.\nAnswer: 12800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 264\/(-154) + (-4)\/(-2)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42*(-5)\/50 - -4 - 117\/15?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 20*i. Let q(r) = 30*r. What is q(o(b))?\nAnswer: 600*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 142815 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*z**4\/2 - 138*z**3 - 2751*z**2\/2 + 5115*z - 3600 = 0. What is z?\nAnswer: -80, -15, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i - 6*i + 22 + 2*i - 6*i.\nAnswer: -8*i + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 91 or 329\/3?\nAnswer: 329\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -600 - 36. What is the smallest value in -1, k, 1\/11?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4\/5 + 18\/35. Suppose 4*s = -0*s - 5*v + 12, 5*v = -3*s + 14. Let k be 2 + (0 - s) + -4. What is the closest to n in k, -3, 2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8 - 3 + 2)*(s**2 + 2*s - 2*s + (4 - 4 + 3)*(s**2 - s + s)) in the form t*s**2 + a*s + l and give t.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 3*q - 6 = 0, q = 4*a - q + 8. Let r be 0\/(a - (3 - 3)). Let s(v) = -v**2 + v + 1. Let m be s(2). Which is bigger: m or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2046 is divided by 41?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*a - 2*a + 2*a)*(-72 + 32 + 79*a + 41).\nAnswer: -395*a**2 - 5*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 108970 and 260270?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 271613879 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 - -24 - ((-6 - (4 + -13)) + 0)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 606*5955.\nAnswer: 3608730","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 3*o. Let m(g) = -32*g - 28. Let c(n) = -m(n) - 10*s(n). Suppose -3*u - 18 = 21. Let j be c(u). Solve l = j*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12, -23, -52, -105, -188, -307?\nAnswer: -468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2\/2 - 2066*i - 69666.\nAnswer: -(i + 34)*(i + 4098)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, a: 3, w: 1, d: 3, l: 1}. Give prob of sequence ld.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.00811 * 40.\nAnswer: -0.3244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 + 138. Let g = t - 126.99917. Round g to 4 dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bwf when three letters picked without replacement from fowbr.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d = 459521 - 607247. Which is smaller: d or 24620?\nAnswer: 24620","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -6 + 3 + 0 + 2629 - -2.\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1710, -1703, -1690, -1671?\nAnswer: -1646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -167 + 169. Suppose -4*j = b*u - 74, -9*j + 5*j + 128 = 4*u. Calculate the remainder when u is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f - 2*f - 30 = 0. Suppose f*d - 2739 = -255. Suppose -q - 5*q = -d. List the prime factors of q.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21478921 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*g**2\/11 - 116*g\/11 - 80\/11.\nAnswer: 2*(g - 20)*(3*g + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - -41. Is p a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 1 + 3 - 5*f**2 - 5 + 8*f**3 + 2*f + 4*f**2. Calculate z(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45448221 rounded to the nearest ten thousand?\nAnswer: -45450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8 - 14541276.\nAnswer: -14541268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 2*b = 4*f - 80, 72 = 4*f + 4*b. Let a(g) = -g**2 - g + 55. Let c be a(0). Calculate the greatest common factor of f and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*s + 1370 = 2*s + 5444. What are the prime factors of s?\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 + (2 - 2) - 5) + 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1698 - -37379\/22. Calculate the common denominator of 17\/22 and p.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 2. Suppose 2*z - 2*c = 64, -z + 40 = -4*c + c. Let s = 35 - z. Solve j - s = m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - ((8 - (-1 - -3)) + -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -482 + 482 - 9416*t**3.\nAnswer: -9416*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 2*d + 36. Let f be w(-17). Let r be ((-24)\/(-30) - (-12)\/10) + f. Let p = 9 - -1. Solve u = 3*m + p, u = m + r*u + 20 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 46.652 to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 4*q**3 - 8*q**2 - 7*q + 102. Let r(w) = -w**2 + w - 1. Let a(l) = -n(l) - 5*r(l). Find the second derivative of a(p) wrt p.\nAnswer: -24*p + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -5, 9, 23, 37?\n\"Answer: 14*n - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 39092759 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/5 of a microgram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) 2908\/9 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**4 - 4520286*k**3 + 4520284*k**2.\nAnswer: 2*k**2*(k - 2260142)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3165?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2 - 4)*(0 - 2 + 11)*(28528 - 222*l - 28528) to the form i*l + n and give i.\nAnswer: 3996","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4211 + -3331241?\nAnswer: -3341002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-25)\/m**(-9\/5))**16 assuming m is positive.\nAnswer: m**(-1856\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 13952430 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 416\/(-11) - 8\/44. What is the remainder when p*((-9)\/(-6) - 2) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*j**3 + 365 - 23 + 32 + 385 - 16*j**3 to the form w*j + i + r*j**2 + x*j**3 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 21.16232 to 0 dps.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 4, 63 in increasing order.\nAnswer: 4, 12, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 PM and 7:09 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 82001663 + 3?\nAnswer: 82001666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - -120212?\nAnswer: 120222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1131423414 (base 5) in base 4?\nAnswer: -21330231300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19, -10, -1?\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 107187263 to the nearest integer?\nAnswer: 475","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -2*x - 5. Let o be t(0). Put o, 1, -1 in decreasing order.\nAnswer: 1, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.29 - 0.09. What is the fourth smallest value in -1, -4\/5, 2, n?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of 3*h**8\/8 - 61*h**5\/60 - 66*h**2. What is the third derivative of t(b) wrt b?\nAnswer: 7560*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -656 - 263?\nAnswer: -1252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 192.\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1514578903?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) -13965.2 (c) -1 (d) 1 (e) -0.4 (f) -3 (g) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -798*t. Let v(l) = -5*l**2. Determine q(v(x)).\nAnswer: 3990*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-234)\/(-45) - 5)\/(3 - (-76)\/(-25)). Suppose -4 = -4*k + v, 0 = 5*k - 3*k - 5*v + 16. Let g(c) = -9*c - 13. Let q(i) = -4*i - 6. Give k*g(a) + p*q(a).\nAnswer: 2*a + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 4\/3)\/(851\/12765)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -65 + 70. What is the least common multiple of (-20)\/6*36\/(-30) and k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhjj when four letters picked without replacement from jhjjjjjjhjjj.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12 - -133?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 5, 27 = -5*q - 5*j - 43. Let u(i) = 5*i + 2. Let d be u(5). Let m = d + q. Is 12 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 3*j = 30. Let v be (-24)\/(-9)*j\/(-4). Let r(d) = -d**3 - 2*d**2 + 4*d - 1. Let z be r(v). What is the greatest common divisor of z and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/12 and 10\/(-4)*161\/1330*2?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-2\/15)\/(p*p*p**14)*(p**(4\/7)*p)**(-13\/3) assuming p is positive.\nAnswer: p**(-803\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of 35*o**3\/6 + 197*o**2\/2 + 61*o - 2. List the prime factors of d(35).\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 660138?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 2 + (sqrt(1125) - (sqrt(1125) + 1))*-2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3892*h - 3845*h = 517. Calculate the smallest common multiple of h and 9939.\nAnswer: 109329","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4085\/206 or 309?\nAnswer: -4085\/206","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + 1. Let w be (-33)\/(-15) - 66\/33. Which is the closest to w? (a) 4\/5 (b) -5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14492 is divided by 4827?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from akxfcckfkucfkfkcf. Give prob of sequence auc.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 73569.01 centimeters in micrometers?\nAnswer: 735690100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 50878, 101755, 152632?\n\"Answer: 50877*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 30907 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*a + 15780 + 8860. Calculate the common denominator of 131\/60 and (-8)\/(a\/(-36))*574\/(-12).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -s**4 + s**2 - 7*s**4 + 5 + s**2 + 7*s**4 + s**3 - 2*s in the form b*s + o*s**3 + h + a*s**2 + z*s**4 and give h.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -6, 0, 24, 11, -28, 3 in ascending order.\nAnswer: -28, -6, -2, 0, 3, 11, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -10031460 (base 9) to base 11\nAnswer: -2791154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 153?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -6*z**2 + 120*z + 7. Let u(q) = q. What is u(j(d))?\nAnswer: -6*d**2 + 120*d + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + 22 + (27 - (-920)\/(-23)) - 5. Factor -81\/2*l**2 + 81\/2 - 3\/4*l + 3\/4*l**v.\nAnswer: 3*(l - 54)*(l - 1)*(l + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 + 5*t**2 + 38*t - 187. Let m be d(6). Solve 5*a = -m*g + 25, -3*g + a + 10 = 3*a for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.9 - -1.9. Sort 2\/9, 0.5, h.\nAnswer: h, 2\/9, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.25 + 11.25. Let a = h + 5.2. What is a rounded to zero decimal places?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3066.\nAnswer: 2, 3, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5 - -1)\/((-10)\/35). Suppose -2*b - 13 = -19. Let t = -70 - -68. Sort t, n, b, 4.\nAnswer: t, b, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6.787 + -8.3604. What is o rounded to 2 dps?\nAnswer: -1.57","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = d - 185, -3*d + 3*n + 555 = -n. List the prime factors of d.\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-27)\/33)\/((-22)\/121)*4.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 - 1. Let p(f) = 7*f**2 - 3*f - 7. Let s(h) = 4*i(h) - p(h). Let t be s(-1). What is the hundreds digit of (-432)\/t + 4\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 2*y + 56. Let f = -53 - y. Find the third derivative of 29*p**2 - p**6 - 12*p**2 - 12*p**f + 12*p**3 wrt p.\nAnswer: -120*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rssrwsrrxxxaswww. Give prob of sequence sa.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 102905 and 4334.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*r*v**4 - 3747502*r*v - 438335*v**4 wrt v?\nAnswer: -24*r*v**2 - 5260020*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of -w**5\/4 + w**4\/12 + w**3\/6 + w**2. Let c be d(2). Let h = 119 + c. Is 21 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 - 4*o**2 - 2*o - 6. Suppose 0 = 5*z - 5*s + 15, 3*z - 3 = -2*s - 17. Give b(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.0317 (b) 5.7 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -5*v**3 - v**2 + 3*v. Let c(n) = -6*n**3 - 2*n**2 + 4*n. Let f(l) = l + 8. Let i be f(7). Let x = -11 + i. What is x*d(b) - 3*c(b)?\nAnswer: -2*b**3 + 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(-5) - 164\/(-220). Let l = -6 + 3. Let n = 2.9 + l. What is the closest to n in 1, v, -3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 8*f**2 + 88*f - 20. Let p be l(-9). Is p at most -166?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53639270 rounded to the nearest 1000000?\nAnswer: 54000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2125410 a multiple of 1015?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 2*h = -72. Suppose 6*o + 30 = 5*a + 2*o, 0 = 4*a + 2*o - h. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjjjqjjjqjjqqjjjj. Give prob of sequence jj.\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 43623?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 788587 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6 + 8db1?\nAnswer: 8da9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -609743767 at most -609743768?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 3:30 PM?\nAnswer: 1:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 47 - 93\/2. Let f = 0.046 + 0.654. Which is the closest to f? (a) q (b) 4 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 346687 is divided by 28870.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56598 = 5*c + 21*d - 25*d, d = c - 11320. Let n = -6897 + c. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -45 at least as big as -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 459999 and 8559?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21852550?\nAnswer: 2, 5, 73, 5987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3870798 and 1233.\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 181*v - 187*v + 15552 = 0. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -57 + 58. Let n = 47203197\/145159924 - -2\/272857. Let s = 3\/76 - n. Which is the nearest to s? (a) t (b) 0.2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 223, 437, 637, 817, 971, 1093?\nAnswer: 1177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.578 + 1.49. Let o = 9 + -7.8. Let n = w - o. What is n rounded to 2 decimal places?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(1584) + 3 + 5 - sqrt(1584)) + 0)*-1*6 + -3.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p - 12 = -4*p. Sort -5, p, 0 in ascending order.\nAnswer: -5, p, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 212201012 (base 3) in base 10?\nAnswer: 17285","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the first derivative of -3*h**6\/10 - 31*h**3\/6 + 34*h - 30. Let m(z) be the first derivative of w(z). Find the second derivative of m(c) wrt c.\nAnswer: -108*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -201492 divided by -4?\nAnswer: 50373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -382 - -116. Let q = s + 271. Solve 0 = 4*p + 1 - q for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 4885 = 5*t, 0 = -3*t - 2*a + 1089 + 1846. Calculate the smallest common multiple of (t\/(-26))\/((-6)\/4) and 45.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, 30 in ascending order.\nAnswer: -5, -4, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + -9.6. Let n = m + 3.9. Let g = 8 - 13. Which is the nearest to -1? (a) -1 (b) g (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-5\/12)*x**13*((x*x\/(x\/(x**31\/x*x))*x)\/x)\/x**(-2\/3) assuming x is positive.\nAnswer: x**(181\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lvllvlv. What is prob of picking 2 l and 1 v?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3697 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28642273?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gp when two letters picked without replacement from iyoppog.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 15) to base 6\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -15*v + 22. Let s be g(-5). Suppose s - 88 = 3*k. Solve n - k*n + 4 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*a + 222 = 123 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g**2 - 7796*g + 70488 = 0. What is g?\nAnswer: -1958, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1\/6030 - -103513\/12060. Find the common denominator of r and 79\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 3 - 3)*(57 - 43 + 64)*(-6*s**2 - s**2 - 8*s**2) as x + u*s + p*s**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of c**4\/26 + 2*c**3\/13 + 15. Solve d(r) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43a17 (base 12) to base 8.\nAnswer: 256763","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let p = -3\/4 - -1\/4. Let q(g) = -g**3 + 6*g**2 + g - 5. Let r be q(6). Sort p, -2, r.\nAnswer: -2, p, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 2*a**2 - 2*a - 2. Let f be t(2). Let v = f - -1. Find the third derivative of -4*r**v - r**2 + 4*r**3 - r**5 wrt r.\nAnswer: -60*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -665 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 491 is divided by 102.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/6*0\/1. Suppose 16 + 2 = 3*f. Solve 3*j - f*j = d for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -24*o**4 + 63*o - 2032 with respect to o.\nAnswer: -96*o**3 + 63","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -34? (a) 17402 (b) 4 (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (214 + 191 - 405 + 1246*s)*(2 + 1 - 2).\nAnswer: 1246*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 53643*c**2 + 110*c - 157?\nAnswer: 107286","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -149*i**3 + i**2 - 63*i**3 - 2*i + 0*i**2 + 18 - i**2 wrt i?\nAnswer: -1272*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13392 divided by 27\nAnswer: -496","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 - l + 1. Let j = -74 + 67. Let t(a) = 5*a**2 + 34*a - 4. Let f be t(j). What is the units digit of y(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 3\/7 (b) 1 (c) -18861 (d) 0.5 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of o**6\/18 - 31*o**5\/180 - 5*o**4\/54 + 14*o**3\/27 - 4*o**2\/9 - 4*o - 5. What is u in w(u) = 0?\nAnswer: -1, 2\/5, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 - 6*i - 7. Calculate the remainder when f(8) is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -431, -860, -1289, -1718, -2147?\n\"Answer: -429*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-36 - -67 - 30)*6235*1 is divided by 2075?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -65 - 190*z + 65 - 202*z as q*z + n and give q.\nAnswer: -392","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12450, 24929, 37404, 49875, 62342?\nAnswer: 74805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-84233673)\/(-2010) + (-6)\/20.\nAnswer: 3, 61, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 2)\/(-215 + 214)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -1 + 8 - 7 + 12*p. Let q(g) = -g**2. Calculate q(t(j)).\nAnswer: -144*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 20 in 2, 1, -0.5, 2\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*f**4\/17 + 1680*f**3\/17 - 2466*f**2\/17 + 920*f\/17 - 6 = 0. What is f?\nAnswer: 1\/4, 1, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -34*r + 29*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11 is divided by 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/4*18\/(-27) - (-307829993 - 8). What is m rounded to the nearest one million?\nAnswer: 308000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 2 + 1 = d, -3*d - 17 = -5*t. What is the second derivative of 1 + 0 - t - 30*o + 11*o**2 wrt o?\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -144340 + 27340. What is g rounded to the nearest 10000?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4555*d = -4550*d - 4*u + 178, 4*u = -10 - 2 for d.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, 56, -1, -12\/19, 1\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 26 = -7*k + 4*k, -a = 3*k - 2. Factor -2\/9*w + 2\/9*w**k + 0.\nAnswer: 2*w*(w - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 21534 - -1?\nAnswer: 21535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -150\/329 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 84202 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuhuppvpppuvuuvuu. Give prob of picking 2 v.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62a23 (base 12) to base 7.\nAnswer: 1046040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10.55751km to meters.\nAnswer: 10557.51","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.95 + -0.05. Let z = -0.03 - 0.04. Let j = 3.07 + z. What is the nearest to y in j, -1, -2\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - a33378?\nAnswer: -a3337b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of t**5\/20 - t**4\/4 + t**3\/2 - 3*t**2\/2 - 366*t. Determine m(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 - 3*w + 4. Let o be a(5). Let d = -19 + o. Put 4, d, -4 in ascending order.\nAnswer: d, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2278, -4600, -6940, -9292, -11650, -14008?\nAnswer: -16360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 3*a**3 - a**2 + 2*a. Let y(h) = -10*h**3 + 4*h**2 - 7*h + 7. Let r(g) = 7*d(g) + 2*y(g). Give r(0).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, -3\/7, 576958, 4\/5?\nAnswer: 576958","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 - 2060*f + 39482. Give j(19).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (18 + -37)\/(4\/(-8)*(-72)\/(-180))\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tddddtdddtdtdd. Give prob of sequence tdtd.\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, 1, 1866, -5, -22 in decreasing order.\nAnswer: 1866, 5, 1, -4, -5, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 5*n = 15, -7*n = -3*f - 11*n + 23. Suppose -f*b = 3*p - 16910, 28204 = -11*p + 16*p - 2*b. What is p rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -111\nAnswer: 1\/111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 4*k + 10600, -3*g - 2216 + 18116 = 4*k. Round g to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 + 3*i**2 + 6. Let d(y) = -1831*y**3 - 24*y**2 - 4*y - 52. Let b(c) = -2*d(c) - 18*m(c). What is the third derivative of b(x) wrt x?\nAnswer: 22080","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25807937.\nAnswer: 83, 239, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the third derivative of -f**4\/24 + f**3\/2 + 42*f**2 - 2*f. What is b(5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of -k**5\/30 - k**4\/4 - 2*k**3\/3 + k**2\/2 - 3. Let z(x) be the second derivative of c(x). Let z(f) = 0. Calculate f.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 19*d**2 + 1. Determine t(-2).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g*g\/(g*g**22)*g)\/g)\/(g*g\/g**(-3\/10)) assuming g is positive.\nAnswer: g**(-213\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -261*t + 1331. Determine k(5).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*(7\/(-1))\/(-350)*18*-5.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z**(1\/3)\/z)**(24\/5)\/(z*z*z**(-3\/4)*z*z**6))\/((z**(5\/4)*z*z*z*z**4*z*z*z)\/(z**(-2\/7))**46) assuming z is positive.\nAnswer: z**(-1837\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 120 and 19260?\nAnswer: 38520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 1:42 AM?\nAnswer: 12:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -6+158.54\nAnswer: 152.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 134664*i**2 + 3 + 3.\nAnswer: 134664*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 20 or 0.188?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 74\/22257 and -19\/35739796?\nAnswer: 321658164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 10 = 3*j - y, -j = 4*y + 2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9620.907l to millilitres.\nAnswer: 9620907","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 + 8*n + 2. Let l(q) = q - q - 2 + 3*q. Let h be l(3). List the prime factors of a(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 8*w - 9 - 16 + 3*w - 6*w. Let x be t(21). Calculate the greatest common factor of x and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of -p**6\/150 + 27*p**5\/25 + p**4\/30 - 54*p**3\/5 - 14*p**2 - 12*p. Factor f(i).\nAnswer: -4*(i - 81)*(i - 1)*(i + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1989947*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -249 + 253. Suppose -c*p - 11*p + 2295000 = 0. Round p to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47\/4 of a tonne in kilograms?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1645 + 5605. Is (-2)\/(-14) - h\/(-63) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 923 + 1230. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*-146.7\nAnswer: -146.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1c - 15?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 359 is divided by 35?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, 24, 16, -12, -66, -152, -276, -444?\nAnswer: -662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/(-3 - 0) - -3. Suppose -58 = 2*v - a*v. Calculate the remainder when v is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (51\/(-85))\/((-1)\/55) - -3?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*c**2 - 12*c**2 - 24*c**2 + c**2 + c**2 - c**2 + (1 - 1 - 2*c)*(3*c + 0*c - 2*c).\nAnswer: -33*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30557216 - -5685.\nAnswer: -30551531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g + 30 = -g. Suppose -4*f + 0*d + 84 = 4*d, g*f - 114 = 4*d. What is the highest common factor of f and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11917499 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 5, -5, 299 in decreasing order.\nAnswer: 299, 5, 4, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 192 and 3086144.\nAnswer: 9258432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve l**3 - 55*l**2 + 172*l + 1632 = 0 for l.\nAnswer: -4, 8, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 2*y + 2, 3*y + 3 = -5*v + 2*v. Let q be v\/(-3) - (-2 - 6). Solve 2*k - 5*s = 15, 0 = 2*k - 4*s + q - 22 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 + 35*i**2 - 3*i. Let d be k(0). What is the third smallest value in -0.1, -141, -1, d?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*c**3 + 12660453*c**2 = 0. Calculate c.\nAnswer: -4220151, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -5.9792 - -0.06\nAnswer: -5.9192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yylyyl. What is prob of sequence lyyl?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 2*h - 2*h + 75 = 0, 142 = 5*q + h. Suppose 0 = -q*j + 136878 - 1808438. Round j to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -450\/73, 5, -5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 2, 0.3, -0.01, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 times -0.89?\nAnswer: -80.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 779972684.\nAnswer: 2, 41, 59, 149, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -97878*w. Let q(a) = 1276*a**2. Determine v(q(t)).\nAnswer: -124892328*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2.1 (b) -1\/5 (c) 0 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -5*z**3 + 6*z**2 - 10*z - 17. Let j be p(-1). Solve 0 = 2*y - 4*x + 12, j*y = -y + 3*x - 16 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3*b + b - 5*b)*(-3*b + 9*b + 5*b).\nAnswer: -11*b**2 - 44*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -23440, -185371, -624896, -1480813, -2891920, -4997015, -7934896, -11844361?\n\"Answer: -23133*z**3 + z**2 - 3*z - 305","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.0818 - -277.9182. Let s = d + -277.9993911. Round s to four decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153))**2*-5 + 4.\nAnswer: -761","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*j - 13*j = 8*j + 114 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 18944610 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -466 - -470.59. Let v = -4.7057 + l. What is v rounded to two dps?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -132168*m**5 - 4*m**3 - 1229986*m**2 wrt m.\nAnswer: -7930080*m**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34692?\nAnswer: 2, 3, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of 4*x**5\/35 - 11*x**4\/28 + 5*x**3\/21 + x**2\/7 + 11. Factor a(p).\nAnswer: p*(p - 2)*(p - 1)*(4*p + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 56 = 2*j, 2*v - 80 = -2*j + 7*v. Let z be (1\/(-3))\/((-25)\/j). Let p = -1253\/9 - -139. Which is the closest to p? (a) -1\/11 (b) z (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 + 7*z**2 - 5*z + 16. Give i(7).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7375654?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11769 is divided by 75.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1511233 - -4?\nAnswer: 1511241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/6*((-252)\/49)\/(-2)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 503 is divided by 195?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 29\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 438 a factor of 20945598?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let i = 291\/13 + -847\/39. Let z(j) be the second derivative of 12*j + 0*j**3 + j**2 - i*j**4 + 0. Differentiate z(l) with respect to l.\nAnswer: -16*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k**(-1\/4)\/k))**0)**(1\/11)\/((k*k\/k**(-6))\/k*k*k**(-2\/3)*k\/((k*k**(-5))\/k)*k**(-4)) assuming k is positive.\nAnswer: k**(-28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -72 - (5 - (-1575)\/(-45)).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27404 and 1293734?\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 2) in base 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of n**7\/840 + n**6\/120 - n**4\/6 + 5*n**2. Let y(f) be the second derivative of i(f). Factor y(a).\nAnswer: 3*a*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 - 18*n**2 + 16*n + 15. What is q(17)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/3510 and 25\/1728?\nAnswer: 112320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12121020030 + 1010?\nAnswer: 12121021100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 11:44 PM?\nAnswer: 10:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1085 = 33*j + 986. Solve -j*q = -f - 3*f + 3, -q = -2*f + 3 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -34 + 38. Sort v, 5\/3, 0 in increasing order.\nAnswer: 0, 5\/3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8820510*i**3 + 2455*i**2 - 34*i - 53 wrt i?\nAnswer: -52923060","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-15))**25\/(v*(v\/(v**(4\/9)*v))\/v)**(-2\/165) assuming v is positive.\nAnswer: v**(-556883\/1485)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 297 - 94 = 27*i + 2*i for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3393671 - -5?\nAnswer: 3393676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 762.\nAnswer: 2, 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from hgdfdfgdhhffhfdg.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4464 and 16244?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 3612?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 35 = -d, -63 = d - 6*d + 3*u. Let o be (-2 + 1)*(d - 17). Is (-1)\/o + (-1197)\/(-14) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(7\/(-21))\/(7\/(-168))*1.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 20868981 * 0.4\nAnswer: 8347592.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 + 0)\/((-2)\/(-10)). Suppose -2*v + 1269*i + 38 = 1264*i, 0 = 3*v + 2*i. Sort 0, v, 17, x in increasing order.\nAnswer: x, 0, v, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -1 - 2*m + 1. Let w(q) be the second derivative of 5*q**4\/12 + 53*q. Calculate u(w(o)).\nAnswer: -10*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 1612.\nAnswer: -3\/1612","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(0 + (-1)\/(-6)). Suppose -198 = -38*o - 46. Suppose -2*b + o = 0, -v - 2*b - r = -3*v. Solve -1 + v = -k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 7:11 PM?\nAnswer: 9:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -3*z - 2. Let u be v(-4). Suppose 5*k - 4*k = 4. Calculate the greatest common divisor of k and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of 17*y**5\/12 + y**4\/24 - 5*y**3\/6 + 26*y**2. Is m(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.77 in 4, -5, 3, 0.23, 27?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from ibbiwhd?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 + 3*q - 3. Give s(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 67 or 5?\nAnswer: 67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m - 2. Let f be u(10). Let z be (-1)\/(((-14)\/f)\/(-7)). Differentiate 11 - z - 2*h**2 + 5 with respect to h.\nAnswer: -4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25 - 23. Factor 5 + o**3 + 113*o**2 - 116*o**2 - l - o.\nAnswer: (o - 3)*(o - 1)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1221)\/(-44) + (-2)\/(-8). Suppose 0 = -k + 4*k - 4*o - 19, b = 5*k - 3*o. Solve 19 - 4 = k*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 PM and 2:37 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1712, 0.5, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 5933, 5969, 6031, 6119, 6233, 6373, 6539?\n\"Answer: 13*w**2 - 3*w + 5923","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 49 - 28. Let z = 56 + -77. Let i = z + b. Put i, 0.4, 2 in ascending order.\nAnswer: i, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 3*a**2. Suppose -2*y + k + 294 = -2*k, -k + 419 = 3*y. Let j(f) = 3*f - 141 + y. Calculate j(q(u)).\nAnswer: 9*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*v**2\/7 - 3726*v\/7 + 40744\/7 = 0. What is v?\nAnswer: 11, 1852","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + -740?\nAnswer: -745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 729 - 552. Is 23 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -30166*o + 1365699?\nAnswer: -30166","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 4 - 2)*((-3 + 3 - u)*(0 + 0 + 2) + 0 - 1 - 1 - 2*u + (0 + 5 - 3)*(1598 - 46*u - 1598)*(-1 + 0 + 0)) in the form s + w*u and give w.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -369 - -411 - (22 - 2).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13875*d**3*i**3 + 9973*i**3 with respect to d.\nAnswer: -41625*d**2*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + -1. Let j(v) be the third derivative of 2*v**5\/15 + v**4\/24 - v**3\/3 - 3*v**2. Let l be j(1). Solve o*u = -15, -f + 9 = -3*u - l for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7.93 + -8. Let w = x + 0.07. Let g = w + 3. Which is the nearest to 0? (a) 5 (b) -0.5 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 44781751\nAnswer: -223908755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 5, n: 2, a: 3, x: 7}. Give prob of sequence nq.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of u**8\/504 + 13*u**7\/1260 + 11*u**6\/720 + u**5\/180 - 995*u**2. Solve g(k) = 0.\nAnswer: -2, -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14945093 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/21 - (-41220)\/70. Calculate the greatest common divisor of x and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**1)**10*(v*v*v\/v**(-5))\/(((v**0*v)\/v)\/v))\/((v\/(v*v**(-5)))\/((v\/v**(-5\/3))\/v))**(17\/2) assuming v is positive.\nAnswer: v**(-28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -383371\/51358340 - -1\/76540. Find the common denominator of v and 17\/671.\nAnswer: 671","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 - l**2 - 10*l - 51. Determine n(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2 + -7 + 3 + (-239)\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 1344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3281 + 14?\nAnswer: -3267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*h - 186 = 178 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 2 a, and 1 b when four letters picked without replacement from {r: 3, a: 3, b: 1}.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4200 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: What is the product of -32069839 and 2?\nAnswer: -64139678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 4*w**3\/3 - 181240*w**2 + 543716*w\/3 = 0?\nAnswer: 0, 1, 135929","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 119 + -112. Calculate the remainder when 18 is divided by n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 633969.\nAnswer: 3, 7, 29, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three fifths of a millimeter in micrometers?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/10 of a kilometer?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*h + 41 - 6 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 11*q - 42. Let n be s(13). Let v = 105 - n. Solve 4*b + v = 3*r, -3*b = -5*r - 9 + 1 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5203*n - 5200*n - 3*t + 21, 0 = -3*n + 7*t - 33 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.19 in 5\/6, -1, -0.481, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 4*t = 63. Let x = t - 9. Let b = x - -11. Does 11 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 124989.\nAnswer: 3, 61, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4431 - -4435. Let m(d) be the first derivative of -2*d - 4\/3*d**3 + 1\/4*d**l + 5\/2*d**2 - 19. Factor m(q).\nAnswer: (q - 2)*(q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 279505?\nAnswer: 5, 55901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 4*z**2 + 6*z + 14. Let h be u(-4). Calculate the greatest common divisor of 333 and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 241306?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 - 36*d**2 - 149*d + 4143. Let p be w(37). Which is the nearest to p? (a) 1 (b) 0.4 (c) 0.018\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssf when three letters picked without replacement from eefefeesfssfe.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 192 = -3*g + 64, -2*g - 5*m = 83. Let o = g + 44. Suppose -5*p - 4*l = -368, -p - 5*l = -o*p - 82. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 2*n - 14 = 0, -40 = 4*n - 24 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of 1\/30*a**6 - 4\/3*a**4 - 4\/3*a**3 - 6*a**2 + 1\/21*a**7 + 0*a + 0 - 1\/2*a**5. Factor r(b).\nAnswer: 2*(b - 2)*(b + 1)**2*(5*b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 AM and 1:23 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5523 and 119238414.\nAnswer: 834668898","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 23*k**2 + 10*k - 11. Let r be q(1). Suppose 43*i = r*i + 840. Calculate the least common multiple of i and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 4*o - 3, -2*h - 5*o + 0*o + 58 = 0. Let m be 4\/(-12) + 4\/12. Solve -2*z + 2*v = -0*v - 6, -5*z + v + h = m for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77*x - x**3 + 77*x + 582*x**2.\nAnswer: -x**3 + 582*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 22142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -415 + 471. Let u be z\/(-6) - 58\/87. Is u equal to -29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-121)\/(-66) + 2\/12. Suppose 0 = -g*c - c. Suppose -2*f + 10 = c, 9 - 679 = -5*w - 5*f. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(2\/5))**(-2\/25)\/(d**0\/d)**28)**(11\/2) assuming d is positive.\nAnswer: d**(19217\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.02069*-0.4077\nAnswer: -0.008435313","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 - 257*t + 2705. Give k(11).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18539353 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1426.\nAnswer: 2, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 0 + 3 - (2 - (-3 + -22))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 89*c - 127*c**2 - 89*c - 89*c**2 + 5 - 2*c**3 as u + v*c + r*c**2 + f*c**3 and give r.\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1.2 (b) 2 (c) -32 (d) -4 (e) -39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.035 in -5, -1, 43.9, -2\/19, 2\/5?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3636\/11 + 1443349\/4367. Find the common denominator of h and 57\/10.\nAnswer: 3970","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 PM and 1:27 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 97594660813 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q + 2. Let n be t(0). What is the lowest common multiple of (275\/10)\/(-5)*-4 and 1 + 12 + (1 - n)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 1\/5 (b) -0.1 (c) 2\/3 (d) -34 (e) 2\/11 (f) 3\/4 (g) -4794\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 24 = -5*b, -4*b + 26 = n + 9. Sort b, -1, -2, 0.\nAnswer: -2, -1, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -332 + 12?\nAnswer: -320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 8623 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19944 - -19934. Put 2, m, -226, 1 in descending order.\nAnswer: 2, 1, m, -226","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*i = 42*i - 37 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*b - 14*b = -18. Suppose -8 + 5*x**3 + b - 15*x - 4 - 4 = 0. What is x?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2*k**3 + 5*k**2 + 3*k - 7. Let b be l(5). Let o be (6\/4)\/(90\/7224) - 3. Let h = b + o. What is the second smallest value in h, -0.4, 3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from upvapzpaarv. What is prob of picking 3 a and 1 r?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4812d - 4?\nAnswer: -48131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence byqq when four letters picked without replacement from qbbqqqdbdyyqybbbbby?\nAnswer: 20\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + c70?\nAnswer: c73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 128611*g + 251414*g + 3 - 126213*g.\nAnswer: -3410*g + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/((m**(-4)\/m)\/m))\/m)\/(m*m\/(m*m**7)*m)*(m**(-2)\/m*m)\/((m\/(m\/m**(-1)))\/m))**(-20) assuming m is positive.\nAnswer: m**(-220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 42 + -13. Let m = i + -26. Find o, given that 73 + 6*o + 6*o**2 - 3*o**3 - 73 + m*o = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/12244437 and -79\/233784.\nAnswer: 97955496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -6.59+6\nAnswer: -0.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 13, d: 5}. Give prob of sequence du.\nAnswer: 65\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 5*u - 1. Let h(t) = -22*t + 5. Let n(q) = 4*q - 1. Let p(a) = h(a) + 3*n(a). Give 13*l(f) + 6*p(f).\nAnswer: 5*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j + 13. Let x be d(-4). Suppose 2*n + 6*n = 0. Solve -2*h - x = -2*l - 1, n = 5*h + 20 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6*(-3)\/(-12)*2. Suppose k = -2*q + 5 + l, 2*k - 5*q = 34. Is 4 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 PM and 5:56 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f. Let t be (0 + 24\/(-10))\/(18\/(-135)). Let a(y) = -24*y + 3. What is t*r(w) + a(w)?\nAnswer: -6*w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -343136 from -1.173.\nAnswer: 343134.827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = u - 1. Let t = 13 - u. What is the remainder when 2\/(-2) - 8\/(-1) is divided by t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -10*m**3 + 11*m - 232. Let c(d) = -d**3 + d - 2. Calculate -22*c(t) + 2*v(t).\nAnswer: 2*t**3 - 420","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 7\/4 of a week?\nAnswer: 294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x + 6. Let o(g) = -1 + 1 + g + 1. Let s(u) = l(u) - 5*o(u). Suppose -4*i = -8*i + 4. Give s(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*2\/8)\/(3\/30).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1304705 and 6001643.\nAnswer: 30008215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.1, 0.37, -2\/23, 2\/511, 2, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p\/(((p\/(p\/(p*p*p**(-4\/9)*p))*p)\/p)\/p)*p))\/(p**(1\/14)*p)*p**6\/(p**(-2)*p) assuming p is positive.\nAnswer: p**(691\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6341 + -2128. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -213 - -321. Suppose 40 = -i + 6*i. Suppose -7*y - 27 = -i*y. What is the greatest common factor of y and a?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 594, 2466, 5582, 9942, 15546, 22394?\nAnswer: 30486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1282 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d**3 - 1292*d**2 - 1004196*d - 117162900 = 0. Calculate d.\nAnswer: -201, 725","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 AM and 6:50 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 96 and 826752.\nAnswer: 826752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/1221875 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 0.1, 2\/3389, -22?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1*1)\/(9\/(-468)). Suppose 7*m - c = 74. Calculate the remainder when (-3)\/(((-12)\/280)\/1) is divided by m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 AM and 12:56 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (245633\/4 - 3) + 2\/(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 171797*l + 171795*l + 171796*l - 515388*l + 136*l**2.\nAnswer: 136*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.01 - 0.01. Let h = u + 0. Which is the biggest value? (a) -3 (b) h (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11100010 - 10?\nAnswer: 11100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of -t**4\/4 - 23*t**3\/6 - 5*t**2\/2 - 11*t. Suppose 8*z + 24 = 5*z. Let l be c(z). Put l, -2, 4 in decreasing order.\nAnswer: 4, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*w + 16592 = -2856. Let k be w\/(-7952)*-36 - -8. Which is smaller: -1 or k?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-four fifths of a litre?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1304\/268157 or 0?\nAnswer: -1304\/268157","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 665 = 400*i - 359 + 224. Suppose 30 = 3*h - h. Let k = h + -8. Calculate the remainder when k is divided by i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 4*x - 5*x - 870, 4*x - 2*q = -3498. Let a = x - -1482. List the prime factors of a.\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -13274*n + 146134. Give h(11).\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6990*a**2 - 7343*a**2 + 14036*a**2.\nAnswer: -297*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 79 + 132 = 0. Suppose j + a - 261 + 50 = 0, -3*a = -j + f. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of 7*u + 0*u**2 + 1\/2*u**4 + 0*u**3 + 0. Let d(b) = 5*b. Give s(d(v)).\nAnswer: 150*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (74\/4*-3)\/((-21)\/28). Let v = 76 - d. Calculate the least common multiple of v and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, -45, 1 in increasing order.\nAnswer: -45, -5, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2485364 and 420?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5211741?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1211 a factor of 66963324?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 66798 to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -161*t + 179*t = 36. Differentiate 4887*h**2 - 24 - 4986*h**t + 205 with respect to h.\nAnswer: -198*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16320248?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 112*r**2 + 10*r + 22. Let x be t(-5). Suppose 11*s - 4*s - x = 0. List the prime factors of s.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(121)\/(-2*sqrt(11)) - (5 + sqrt(99)) - 4*(sqrt(55) - (sqrt(55)*1 + sqrt(55)))\/sqrt(5).\nAnswer: -5 + sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w. Let q be x(1). Let k(r) = 116*r**2 - r. Let y be k(q). Suppose 3*a + i = 100 + 5, -3*a = 5*i - y. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5481, -5482, -5497, -5532, -5593, -5686, -5817?\nAnswer: -5992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of a**2 + 3*a - 3003. Let o(z) = -1 + 4 + z - 2. Let v(g) = -j(g) + 3*o(g). Let p(y) = 2*y + 7. Calculate p(v(r)).\nAnswer: 2*r + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55)*-2)\/sqrt(5) - -2*sqrt(33)\/sqrt(3) - ((sqrt(176)*-1 - sqrt(11)) + -4).\nAnswer: 4 + 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1226637 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*x**3 - 5*x**3 - 7*x**3 - 2*x**4 - 2 as d*x + l*x**2 + v*x**3 + k*x**4 + w and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20.03706km to nanometers.\nAnswer: 20037060000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do -20 and -333429 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -318 (b) -2 (c) -0.5 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 12, s: 3}. Give prob of sequence os.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-12 + (-1862)\/(-154))*((-306)\/(-15))\/2 and ((-1)\/(-220))\/((-20)\/(-1480)).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (217 - 210) + 1 + (2 - (3 + -2)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28\/(-42)*(-1)\/((-4)\/(-54)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/5 (b) 114 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that f**3\/7 - 150490*f**2\/7 + 5662712857*f\/7 - 67930885452\/7 = 0.\nAnswer: 12, 75239","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -30 - 10. Let i be (-1930)\/h + 2\/(-8). Calculate the highest common divisor of 16 and i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4068?\nAnswer: 2, 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*d - 22*d + 71*d**2 - 22*d + 104*d**2 + 28*d**2 + 90*d.\nAnswer: 203*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -99*s**4 - 42*s**2 - 2*s + 12.\nAnswer: -2376*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16112 is divided by 73.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 274.005 - 273.38. Which is bigger: 12 or r?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.4868552 + -5.484. Round r to five decimal places.\nAnswer: 0.00286","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3330 (base 4) in base 5?\nAnswer: 2002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 20*x + 1. Let r(d) = -76*d - 121. Let v(l) = 141*l + 240. Let h(n) = 13*r(n) + 7*v(n). What is h(u(w))?\nAnswer: -20*w + 106","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + 0 - ((-29 - 31) + 35).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 1454*m**2. Let p(n) = -870*n**2. Determine z(p(c)).\nAnswer: 1100532600*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1413 + -5348?\nAnswer: -6760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 - 4. Solve -m - r = -2*b + b, -b - 2*m + 7 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 15*y**5 + 15*y**2 - 4*y. Let i(o) = -29*o**5 - 29*o**2 + 7*o. Let c(x) = -7*g(x) - 4*i(x). What is the third derivative of c(v) wrt v?\nAnswer: 660*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 615 + 639?\nAnswer: 1254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 19\/4 of a year?\nAnswer: 57","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/(45\/10 - 3). What is the third derivative of p*k - 4*k + 6*k**4 - 5*k**2 + 9*k**2 wrt k?\nAnswer: 144*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 - 2*y + (3*y - 6*y + 10*y)*(0 + 1 - 2).\nAnswer: -9*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 385156950 * 3.\nAnswer: 1155470850","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 11) in base 3?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y**(-3)*y))\/y**(-16))**(-46) assuming y is positive.\nAnswer: y**(-874)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(567) + (1 + sqrt(567) - sqrt(567)) + -3 + -1 + sqrt(567) + 0)**2 - (-4 + (sqrt(567) + sqrt(567)*-4 + sqrt(567))*3)**2.\nAnswer: -18151 - 540*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 + 2*k**2 + 50*k - 12. Let d be u(8). Solve -33*f + 29*f + d = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*n + 4*n + 46. Suppose x + 2*m - 7*m = n, 0 = x - 3*m - 13. Put 0, 2, x, -1\/5 in decreasing order.\nAnswer: 2, 0, -1\/5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 143249.17 + -142674. Round y to 0 dps.\nAnswer: 575","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 303 divide 1459109832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -991, 4.\nAnswer: -991, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.12 - -0.12. Let m = -3.7 - -0.7. Let i = d - m. Which is smaller: i or 3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10110000001101000111000 (base 2) to base 9.\nAnswer: -11770242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/296 and -151\/666?\nAnswer: 2664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/229 or 122?\nAnswer: 122","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -34 + 22. Let y = m + 38. What is the highest common divisor of y and 130?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*160.\nAnswer: -800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/(-20))\/((-2)\/10). Let f be v*(-3)\/6*152\/(-2). Calculate the greatest common divisor of f and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.5, -2, 4185, -26.4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6839 is divided by 120.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - 160564?\nAnswer: -160558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i**2 - 58 - 4 + 62 + 3*i**2.\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-106)\/34*-1 - (-4)\/(-34). Solve 5*c - a = -12, 0*c = c - m*a - 6 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17 + -18. Let m be (-4)\/(-8) + 10\/(-16). Let x = 0.8 + 2.2. What is the second smallest value in a, m, x?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17340.031039 + 565083.868581. Let m = h - 582431. Let i = -7.1 - m. Round i to 4 dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65775 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 4643708 = 4643709?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 4*b + 22 = b, 3*k + 3*b - 6 = 0. Find the second derivative of 19614*l**k + 139*l - 2*l**2 - 19614*l**4 - 137*l**5 wrt l.\nAnswer: -2740*l**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, -1\/3, -2\/13.\nAnswer: -2, -1\/3, -2\/13, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 h when two letters picked without replacement from tgxhttxtntxntxnn?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 0, -0.5, -187\/2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 125 - -5?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -276.291 + 0.291. Let y = -276 - t. Which is the third smallest value? (a) -0.2 (b) -5 (c) y (d) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -152 - -153. Let o(r) be the second derivative of r**5\/20 + r**4\/12 - r**3\/6 + 2*r. Let b(w) = -4*w**3 - w**2 + 2*w. What is h*b(n) + 2*o(n)?\nAnswer: -2*n**3 + n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.97 - 0.43. Let k = i + 4. Let g = -0.5 + k. Which is the second smallest value? (a) g (b) 4 (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 + 15*s - 14. Let o be t(14). Suppose 6*n - 12 = 2*n. Sort n, 4, o in descending order.\nAnswer: 4, n, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 201541\/5 (b) 14 (c) -1.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2526, -5022, -7486, -9906, -12270, -14566, -16782?\n\"Answer: 2*d**3 + 4*d**2 - 2522*d - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/468 and 71\/9711?\nAnswer: 38844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 26 = 2*b, -5*b + 68 = -5*f + 18 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -4*c - 20, -25 = 5*c - g - 4. Let f(s) = -s - 8. Let t be f(c). Sort 5, t, 4.\nAnswer: t, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1001137099 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 15052 plus -9?\nAnswer: 15043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, 31, 38321 in descending order.\nAnswer: 38321, 31, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w. Let x(r) be the second derivative of r**3\/6 + 3*r. Give s(x(j)).\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.6, 0, -5, -0.0611, 2 in increasing order.\nAnswer: -5, -0.0611, 0, 0.6, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 357 - 1073\/3. Sort -0.2, d, -4, 0 in increasing order.\nAnswer: -4, d, -0.2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -37 - -51. Let a be ((-1)\/(h\/(-48)))\/(4\/14). Solve -3*d - 4*c = -4*d + a, 3*c = -2*d - 20 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -7. Suppose 2*r - 12 = -c*r. Solve 4*z - q - 21 = 0, r*z - z - 6 = -4*q for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-42)\/(-140) + 14\/(-180). Which is the closest to -2\/3? (a) f (b) -1\/67 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 150680500 to the nearest 1000000.\nAnswer: 151000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6*(-1 - (-83)\/3). Suppose -h + 35 = -5*s. List the prime factors of s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, 5, 3 in descending order.\nAnswer: 19, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of 7*v**2 - 142*v - 60. List the prime factors of n(27).\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 54498 and 26463?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*p**2 - 8*p**2 + 2*p**2 to z*p + f + j*p**2 and give j.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 394074*d**3 - 8 + 394077*d**3.\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -29 + 43. Suppose -3*z + 1 - 7 = 0. Let h = g - z. Does 8 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 2*h + 9. Suppose -h*s = -12, 3*o - 2*s - 6 = -14. Solve 5*b + 5 = o, 4*d = -6*b + b + 15 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -v + 9, 0 = 2*x - v - 3*v - 48. Let w(r) = r**2 - 40*r + 222. Calculate the lowest common multiple of x and w(34).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 3:49 AM?\nAnswer: 1:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 752 - 207. Is 16 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -29 in 0.4, -0.3, 0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 + 14*u + 8. Give h(-14).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.729, -207, -43?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 - 10*t**2 + 67*t - 28. List the prime factors of s(-17).\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7482 + -7463. Let q(c) = -5*c**2 + 96*c - 19. Give q(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1130653 - 4396955 = -109*p. What is the thousands digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 957*h**2*s**2 - h**2*s - 29*h*s**4*x**2 + 16*h*s*x**2 + 2*h*x - 1810*x**2 wrt s.\nAnswer: 1914*h**2 - 348*h*s**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -110517 + 298790. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -211*i**3 - i - 4454 + i**2 - i**2 + 17*i**3 + 4617.\nAnswer: -194*i**3 - i + 163","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 136 at least 14938\/109?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.02, 2\/5, 0, -0.3, 3\/176?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (6 - 6 - 2)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 65.2 + -57.2. Suppose 3*x = -5*c + 14, x - 5*c = -x - 24. Put 2\/3, x, o in descending order.\nAnswer: o, 2\/3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18124061 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -2.5369 at most as big as 0.09?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -913 - -932. Suppose 5*x = 5 + 10. Let g be ((-20)\/(-6))\/(2\/3). Solve w - q + 5 = -g*a, -2*w = -x*a - 2 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 5810603\nAnswer: -29053015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 8, q: 2}. Give prob of picking 2 q.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 + 3 = 3*l - b, -4*b = -3*l - 13 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 + 4*k**2 + k - 3. Suppose -5*n - x + 14 = 0, 3*n + 5*x - 4 = -0. Calculate i(n).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11436, 11806, 12810, 14766, 17992, 22806, 29526?\nAnswer: 38470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -436715*l**4 - 385712*l**2 wrt l?\nAnswer: -10481160*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.677489ng to grams.\nAnswer: 0.000000009677489","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -31 (b) 3\/14 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 18410*d - 368201. What is b(20)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 16086 to the power of 1\/2, to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -1\/29, -3\/2, 5, -155, 64 in decreasing order.\nAnswer: 64, 5, -1\/29, -0.2, -3\/2, -155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 r when two letters picked without replacement from {h: 8, r: 2, u: 1, e: 4}.\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -54, -4, 0, -2.\nAnswer: -54, -4, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 AM and 4:41 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 8, z: 5}. Give prob of sequence mz.\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 922 is divided by 54?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*w = -15*w + 11. Let g = 15 + w. Is g a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 194*x + 3511. Calculate u(-18).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*r + 64*r = -2*f - 16, -5*r + 2*f = -24 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 + 1164*i - 17796. Calculate a(15).\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1105*x + 0*x**3 - 1087*x - 2*x**3 - 227*x**2 + 2193*x - 3*x**3 to c*x**2 + t*x**3 + o + k*x and give c.\nAnswer: -227","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 48039*a**2 + 2076*a - 3.\nAnswer: 96078","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of -x**4\/24 + 5*x**3\/6 - 5*x**2. Let p(y) = -2*y**2 + 4*y - 29. Let d be p(6). Let c = d - -81. What is m(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 658\/5071 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 7*p. Suppose 0 = 5*l + 5*v + 10, 3*l - 3*v - 19 = -1. Suppose -38 = -5*z + 32. Let k(b) = 18*b**l - 7*b**2 - z*b**2. Determine k(s(o)).\nAnswer: -147*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, -76, 288, 1, -4 in ascending order.\nAnswer: -76, -4, -2, -1, 1, 288","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3\/9 + 88*s**2\/9 + 238*s\/9 - 328\/9.\nAnswer: 2*(s - 1)*(s + 4)*(s + 41)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 36 = -6. What is the least common multiple of r and 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10766 + 10766 - 35*h - h**4 + (10 + 10*h - 10)*(-3*h**3 + 3*h**3 + 2*h**3) to the form s + p*h**3 + n*h**2 + k*h + q*h**4 and give k.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 74*b**5*t - 7*b**3*i - 25*b**2*i - 4*b*t + 2*b - i - t wrt b?\nAnswer: 4440*b**2*t - 42*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -540356\/15 or -36023?\nAnswer: -36023","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 25*z - 15. Let b be c(6). Let a = b + -132. Solve -4*w - w = 3*x - 10, -a*x + 2*w = 4 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 18*d - 1936. Suppose 3*q - 6*q = 0. Suppose q = -7*t + 4*t + 72. What is the remainder when s(110) is divided by t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 56533508 to the nearest integer?\nAnswer: 384","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -7*b**2. Let m(g) = -13*g - 4. Let v(x) = -10*x - 3. Let u(z) = 4*m(z) - 5*v(z). Let y(t) = 19*t + 6. Let j(r) = -6*u(r) - y(r). Calculate j(p(q)).\nAnswer: 49*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 38 and 608?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 - 2*d + 5. Let x be 60\/(-14) - 4\/(-14). Let q be x\/18 + 258\/(-54). Let u be a(q). What is the greatest common factor of u and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 4*i - 3*i + 3588, i = -3*v + 2156. What is the remainder when v is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(567)*2*1 + -2)*6.\nAnswer: -12 + 108*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -166, -330, -500, -682, -882, -1106?\n\"Answer: -d**3 + 3*d**2 - 166*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 387, 3024, 10175, 24096, 47043, 81272, 129039, 192600?\nAnswer: 274211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 2*v**2 + 3*v - 7. Let q be k(-5). Let x = 52 - q. What is the highest common divisor of 60 and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - -39. Suppose 30*c - h*c = -15. Let a = -2 - -14. Solve 5*k + a = -4*z, k + c*z - 2 = -k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m + 1. Let b be z(-2). Solve 8*c + 5*y = b*c, -5*c + 3*y = -16 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r - 1. Let f be u(-4). Suppose 0 = -6*a + f*a + 48. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -682*x**2 - 1202*x**2 + 52*x**2 - 962*x**2.\nAnswer: -2794*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-1)\/4*(-8)\/(-10))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2947, -3213, -3723, -4531, -5691, -7257, -9283, -11823?\n\"Answer: -9*b**3 - 68*b**2 + b - 2871","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z - 2. Let g be t(6). Suppose 3*p - 2*p - 10 = 4*d, g*p - 18 = 5*d. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2404)\/(-8414) + (9*306\/135)\/((-42)\/(-20))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, r: 1}. Give prob of sequence jj.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 26337 = 4*u + 87338, 7*u = t - 106754. Which is smaller: -15252 or u?\nAnswer: -15252","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -2*q. Let j(t) be the third derivative of -t**5\/30 - t**4\/12 - t**3\/3 - t**2. Let n(m) = m**2 + 3*m + 3. Let l(u) = 3*j(u) + 2*n(u). Give l(h(b)).\nAnswer: -16*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32416938 is divided by 89.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*(p*p**(1\/10)*p)\/p)\/p*p**(7\/5)*p)**(-12\/11) assuming p is positive.\nAnswer: p**(-42\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 51341184985413+-5\nAnswer: 51341184985408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 16 - 2 - (-14 - -32)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of g**10\/50400 + 13*g**9\/20160 + 11*g**5\/15 - 147*g**2 + 1. Let s(t) be the third derivative of d(t). Factor s(i).\nAnswer: 3*i**3*(i + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 12:48 PM?\nAnswer: 5:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -72*x**2 + x + 72*x**2 + 3*x**3 wrt x.\nAnswer: 18*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -12*p**3 - p**2 + p - 1. Let v(a) = -29*a - 376. Let g be v(-13). What is w(g)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.7 and -2231706.\nAnswer: -6025606.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 16, 38111 in descending order.\nAnswer: 38111, 16, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 538884, 538742, 538608, 538488, 538388, 538314?\nAnswer: 538272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 283 - 2*g - 283.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 461795?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 34\/814263?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -22*g**2*s**2 + g**2*s - g**2 + 4*g*s**2 - 6*s wrt s?\nAnswer: -44*g**2 + 8*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 620193 - 4*d - 620193.\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 3*k - 9 = c, -48 = -4*k - 2*c. Calculate the remainder when k is divided by 5 - (-1 + -1 + 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 - -2) + -4 + 15\/3. Let n = 1 - -2. Factor 7*o**2 + o**n - 1 - 2*o - 4*o**4 + q - 5*o**3.\nAnswer: -o*(o + 2)*(2*o - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -13, 4, 6, -5 in descending order.\nAnswer: 8, 6, 4, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 251124322 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2581 is divided by 199?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2*r**2. Let q(m) = -130*m - 150. Let g(n) = n + 2. Let w(v) = -10*g(v) - q(v). Let y(t) = 11*t + 12. Let c(o) = 6*w(o) - 65*y(o). Determine c(z(s)).\nAnswer: -10*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 p, and 1 m when three letters picked without replacement from mmmmbbpj.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, 194 in ascending order.\nAnswer: -5, -2, 194","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 4*q + 2*q**2 + 1261 - 6*q**3 - 5*q**2 - 1265 + 4*q**2. Let g(n) = -5*n**3 + 3*n - 3. Give 4*g(h) - 3*o(h).\nAnswer: -2*h**3 - 3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -312001100110 + 3?\nAnswer: -312001100102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -1.4, 15?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 - -149. Let x = -209 + r. What is the units digit of (1\/3)\/((-2)\/x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -8, 313 in increasing order.\nAnswer: -8, 2, 313","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.035 - -0.015. Sort 2\/7, z, -3 in decreasing order.\nAnswer: 2\/7, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -21797, -43688, -65605, -87548, -109517, -131512?\n\"Answer: -13*j**2 - 21852*j + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -1829\nAnswer: 5\/1829","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 5*j = w - 13, -3*j - 4 = -2*w. Suppose -j = -h, 3*o - 524 = -h - 0*h. 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: Solve 2*h = 5*n + 42, -9488*n - 9493*n - 142 = -2*h - 18966*n for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 5*l + 372 - 192 - 155 = 0, 0 = n + 8*l - 43 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -133*o - 25. Let r be -4 - (0 + -1) - (22 - 23). Let t be v(r). Let c = t + -96. Is c 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 5915878?\nAnswer: 2, 19, 151, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 33 = 5*f + 8, -5*a = -15. Let g be 1*(4 + 26\/(-6)). Let s(l) = l**3 + 16*l**2 + 16*l + 16. Let r be s(-15). What is the nearest to r in g, f, 5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1321 - 1321?\nAnswer: -3302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17 - 13. Is 19*(x + 6\/(-3)) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.052 + -45.052. Let g = 44.99951 + h. What is g rounded to four dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 7225 = 2*m, 4*m - 6026 = -3*c + 1223. What is the hundreds digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -3, -2, 0, 0.17?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + -0.1. Let t = j - -0.1. Let o = -38711 + 38710. Is o at most as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -26*x - 25. Suppose 462*m + 55 = 410*m + 3. Determine n(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8422315409 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2*u**3 - 45*u**2 + 537*u - 9973. Determine m(21).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 922*f - 417. What is the units digit of y(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10520960*z**3 + 2661813*z**2 + z wrt z.\nAnswer: -63125760","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73 is divided by (342\/(-21))\/((-15)\/35).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 - 13*x**2 + 9*x - 8. Let w be c(-14). Let p = w + 1542. Let s = p + -1039. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3416266199?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -214, -5, -0.03, -1\/53.\nAnswer: -214, -5, -0.03, -1\/53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 620295 is divided by 3087.\nAnswer: 2895","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -49a502 (base 12) in base 3?\nAnswer: -2020222000202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 11:29 PM?\nAnswer: 7:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -12*v**2 + 5*v + 11. Let u(z) = z**2 + 2*z + 1. Let s(p) = -a(p) - 5*u(p). Let f be s(-1). Let r(t) = -t**2 + 6*t - 8. Calculate r(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 304 + -135. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5955107 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6 + 209a37?\nAnswer: 209a31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 133 - 14 - 9 - 63*d + 14*d.\nAnswer: -49*d + 110","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 3\/2, 41, -3\/7, -0.5?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 202.1 + -199.953. Let l = -0.047 + o. Which is bigger: 0 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.169261 rounded to 3 decimal places?\nAnswer: -1.169","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5549 by -101.\nAnswer: 5549\/101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 PM and 1:22 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 2*w + 12 = -5*w, -16 = -3*d + 4*w. Suppose d = c + 67 - 254. What is the greatest common factor of 34 and c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*v - 20*v = 243. Suppose -u - 3*u + 3*m = -v, 0 = -4*u + 2*m + 78. Calculate the greatest common factor of 30 and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 8 + 12)*(5 + 6 - 4)*(4*o - o - 4*o).\nAnswer: 7*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 90, 70, 48, 24, -2?\n\"Answer: -y**2 - 17*y + 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12560 or 0.01777?\nAnswer: 0.01777","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 880422.8 decades?\nAnswer: 105650736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -37584*c**2 + 19171 wrt c.\nAnswer: -75168*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -120*y + 4177. What is p(34)?\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 378299 to the power of 1\/2, to the nearest integer?\nAnswer: 615","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 PM and 11:40 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-60)\/14 + 4\/14. Suppose -4*a + 1 = 5. Let r be 3\/(-5 + (-8)\/(-2)). Sort t, a, r.\nAnswer: t, r, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3992.9 - 3992. Which is the third biggest value? (a) 13 (b) q (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46950 is divided by 15255?\nAnswer: 1185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 324 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w + 4. Let a be l(0). Let s(x) = -x**3 + 3*x**2 + 7*x - 5. Let r be s(a). Solve -o + r = 2 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 120310 - -3?\nAnswer: 120313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -51 + 92. Calculate the remainder when 119*(-3 - -5)\/((-2)\/6*-6) is divided by n.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2873357 to the nearest integer?\nAnswer: 1695","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.6 + -4. Let r = -0.807 + 549.807. Let s = r - 546. What is the second biggest value in b, s, 0.2, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 2*q**3 - 5*q**2 + 4*q + 1. Determine g(3).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25*k - 26*k**2 + 2*k**3 + 91*k + 81*k - 36*k**2 + 60*k**2 to the form t*k + p*k**3 + v + s*k**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 430930 to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1634.\nAnswer: 2, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 540 = -19*a + 199*a. Solve 0 = a*n + 982 - 967 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 686 = -r. List the prime factors of r.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8cb95 (base 14) to base 9\nAnswer: 571783","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/9, 27, 3\/4, -5\/3?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 817928.6 to the nearest ten thousand.\nAnswer: 820000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of -v**8\/28 + v**4\/6 - 12*v. Find the third derivative of a(t) wrt t.\nAnswer: -240*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -78\/37 (b) -3 (c) -0.05 (d) 5 (e) 0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 574 is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -84.3059 from -308.\nAnswer: -223.6941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 10 = -5*b, 10 = 3*b + 5*c - 4*c. Suppose 0 = d - b*p - 0 + 2, -115 = -5*d - 5*p. Calculate the remainder when d is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -6*q + 5. Factor 15 - 18 + 10*l**q + 2*l**2.\nAnswer: 3*(2*l - 1)*(2*l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 3 + 5)*(2*w + 2*w - 5*w) + 107 + 18 - 2*w + 20.\nAnswer: -15*w + 145","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, -4, 150, 0 in descending order.\nAnswer: 150, 4, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/((-5)\/(-8)*-12)\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -5192*i - 10392. Calculate d(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1986, -1975, -1964, -1953, -1942, -1931?\n\"Answer: 11*g - 1997","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (311*v - 334*v + 10 - 4)*(1 + 0 - 3)*(4 + 14 - 7) to the form q*v + k and give k.\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 AM and 1:30 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d + 3*d - 132*d**3 + 118*d**3 + (3 - 3 + 1)*(-3*d**2 + 3*d**2 - 3*d**3) + (-15*d - 5*d + 2*d)*(0 + 0 - d**2).\nAnswer: d**3 + 2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 195 - 53. List the prime factors of i.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*z + 51*z - 4344 = 0. List the prime factors of z.\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.01 - -0.29. Which is the biggest value? (a) t (b) -2 (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 - 10. Solve -q*s - 18 = -5*p, -2*p = -5*p + 12 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 + 3*h**2 + 2*h - 4. Let p be v(3). Suppose -u = p*u - 27. Is 6 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 17 = o, -o - 55 = 2*o + 5*q. Let i be o\/(-2) - (2 + 1). Suppose 5 - i = 2*p. Which is the third biggest value? (a) -5\/2 (b) p (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 5.4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5707440291.\nAnswer: 3, 7, 37, 7345483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (14\/2)\/((9\/(-12))\/3). Let u be -1 + 21\/w + 3094\/8. Suppose 0 = 2*r + 2*r - 3*s - u, -s = -r + 95. 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: Simplify (-3 + -1 + sqrt(1331))**2 + sqrt(1331)*1 + -4.\nAnswer: -77*sqrt(11) + 1343","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40117 divided by 521.\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2621.52373 + 0.02373. Round d to the nearest 100.\nAnswer: -2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.022 + 1.022. Put 0.3, -24, z in ascending order.\nAnswer: -24, 0.3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5518 greater than or equal to 16556\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -40*42\/84*-1\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 44, 48, 52, 56?\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4044 = -164*l + 838*l for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (9 + 364 + 53 + 437)*(-3*r**4 + 0*r**4 + 5*r**4) as v*r**3 + b*r**4 + d + l*r**2 + y*r and give b.\nAnswer: 1726","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - -11001111?\nAnswer: 11010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10490999 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 + 3*t**2 + 11*t - 29. Let m be s(5). Which is smaller: m or -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 - 2264*g - 778729. Give a(-423).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 686354.6 rounded to the nearest ten thousand?\nAnswer: 690000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (3 - ((13 - 3) + -41)) + -16\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 AM and 6:18 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6 - -1) + -3 - 0) + 37 + -10.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 0*s - 212 = -2*s, 12*k + 1750*s = 1753*s + 636 for k.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 43 - 76. Let m = t - -215. Is m a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 605 at most 3021\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 3*f**3 + 6*f**2 + 20*f - 144. Let m be h(6). Calculate the greatest common factor of 30 and m.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4082402 (base 11) to base 16.\nAnswer: -6df678","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - (13 - -1 - (-34 + 57)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(2) + (sqrt(14)*1 - sqrt(14))\/sqrt(7) - (sqrt(72) - sqrt(8))\/sqrt(4)))**2.\nAnswer: -4*sqrt(2) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (0 - ((-2 - 2) + 2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3, -4, -6, 4 in descending order.\nAnswer: 4, -2, -3, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from evvvvveefjg. Give prob of picking 1 e and 1 v.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -4 (b) -194 (c) 8 (d) -2\/1439\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-6)*(630\/(-20))\/(-21). Let l be -2*20\/(-8)*w. Solve 5*j = 5*i + l, -3*j - 2*i + 7*i - 3 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3\/5 + 386*x**2 - 3984*x\/5 - 46368.\nAnswer: (x - 12)*(x + 10)*(x + 1932)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20091 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 4*w**4 + 317032*w**3 + 1268084*w**2 + 1585088*w + 634032 = 0.\nAnswer: -79254, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1123 greater than -1122?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hpta when four letters picked without replacement from ttpapajpajptaaahtpap.\nAnswer: 7\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**2 - 2*x**2 + x**2)*(-14308 - 3163 - 6901 + 533 + 3186 - 11725).\nAnswer: 32378*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-16899)\/(-2838) + 2\/44\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 14\/6 - 3\/9. Suppose -3*a + 0*a + 20 = j*x, -2*x - 4*a + 24 = 0. Let f = x - 0. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 56 and 233520.\nAnswer: 13077120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*f + 27*f = 10836. Is f a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + -4. Let f = -1 + 9. Let y = 7.8 - f. What is the closest to -1 in 0, c, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1 and 89?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 0.08, -0.3, -0.9, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -217*g - 597*g + 160*g to t*g + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add 10.81 and -11248.\nAnswer: -11237.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -0*o - h + 5, -5*o + 3*h + 27 = 0. Suppose t - m = -0*t + 14, o*t - 4*m = 45. Does 7 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -2.114\nAnswer: -4.228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000286 rounded to five decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-198)\/(-21) + -15 - -5. Is -0.0761 at most g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {u: 7, o: 5, v: 2, z: 3}.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 AM and 12:55 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.9 - -1.01. Let p = -0.11 + o. Are 0.09 and p nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of k**4\/6 + 2*k**2 + 10*k. Differentiate o(s) with respect to s.\nAnswer: 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/6)\/(1\/(-2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.07, 4\/5, 0.3 in decreasing order.\nAnswer: 4\/5, 0.3, 0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -6*(-2)\/24 - (-93)\/(-21) and -9\/146.\nAnswer: 1022","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 16 = b. Suppose 2*r = -a + 13, 0 = -3*r - 5*a + 30 - 7. Let d be 9\/6*r\/(-9). Put -2, b, d in decreasing order.\nAnswer: b, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 176698602 and 176698604 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 PM and 9:49 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -1 (b) 1 (c) -12.04 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*u**2 + 611*u - 2*u**4 + 11*u**2 - 610*u + 2*u**2 - 3 - 3*u**4 - u**3 to h*u + s*u**3 + m*u**4 + f + c*u**2 and give c.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 4*l = -2, -5*g = 57*l - 56*l + 8. Let y(p) = 8*p**3 - 3*p - 3. Calculate y(g).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 478579 - 477268 = 57*j for j.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 83 (b) -0.62 (c) -9095\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(220)\/(sqrt(48)\/sqrt(48) - sqrt(4)))\/(-1*sqrt(245) - ((sqrt(605) - (sqrt(605) - 2*sqrt(605)) - sqrt(605)) + sqrt(605))).\nAnswer: 2*sqrt(11)\/29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.33 (b) -4 (c) -2\/11 (d) 258\/31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 96141295962331 - -2.\nAnswer: 96141295962333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2457 and 282.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 + h**2 + 11*h + 7. Let k be q(4). Solve l - 3 = 2*t, -3*l + k*t + 22 = -5*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2*1)\/(-8))\/(296\/444)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -3 (b) -2\/399311 (c) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11599, -23201, -34803, -46405, -58007, -69609?\nAnswer: -81211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -7*o**2 + o**2 + 3*o**2 - o**2. Let k(q) = 20*q. Give k(b(v)).\nAnswer: -80*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 114067 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -341*y**4 + 9*y - 6 wrt y.\nAnswer: -4092*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + -33. Let s(f) = -2*f**2 + 32*f + 7. Let m be s(17). Is m bigger than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*i = -29*i + 8 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2476070 divided by -10\nAnswer: 247607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1698578293 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 2. Let j = 5 - z. Let n be (1\/(-3))\/(((-35)\/6)\/5). Which is the second biggest value? (a) n (b) -5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 31915 and 75?\nAnswer: 478725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -5*o**3 - 55*o**2 + 355*o + 3564. Determine b(-10).\nAnswer: -486","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3041\/2 + 1487. Let g = -30447845\/184 + 165477. Let u = g + 1\/23. What is the common denominator of u and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5605 or 5607?\nAnswer: 5605","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 72 - -30. What are the prime factors of y?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1796 divided by -4?\nAnswer: -449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 38 = -4*c, -18 = -3*c + j + 11. Suppose 12*v = c*v + 921. What is the hundreds digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/6*45\/6. Suppose -2*t = o + t + m, 2*t = -5*o + 40. Suppose -5*a - o = -55. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - 5. Let u = -4 - r. Let x = 9 - 6. Which is smaller: u or x?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k**3 + 2*k**3 - 4*k**3 + 2*k**3 + k**3 - k**3 + (-3*k**2 - k**2 + 5*k**2)*(5*k + k - 4*k) - 12*k**3 - 4*k**3 - 13*k**3.\nAnswer: -27*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 + -3. Let l(x) = x**2 + 6*x. Let v be l(-6). Let a be 6 + (-7)\/(21\/6). Solve v = a*y - i*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(3\/7))**(3\/37) assuming f is positive.\nAnswer: f**(9\/259)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 9 + (106 - 109).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 321 + 59 = 20*u. Calculate the remainder when 282 is divided by u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -546225 (base 8) in base 3?\nAnswer: -100022122021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8576 and 115642?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t**4 + 0*t**4 - t**4)*(-4 + 3*t + 4) - 53785*t**3 + 291*t**5 + 349*t**5 + 53785*t**3.\nAnswer: 637*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1198 + 612. Let c = f + 706. List the prime factors of c.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in -19\/2, 130, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 647452?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 65 + 90 = 0. Solve 0 = 6*y - f*y - 4 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-5)*c**(2\/7)*c*((c*c*c*c\/(c**0*c)*c*c*c*c*c)\/c)**13*c**5*c*c\/c**(-6)*((c*c**(-2\/3))\/c)**(1\/13) assuming c is positive.\nAnswer: c**(27364\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 7*r = -15. Let s(m) = -15 - 2*m + r. Let z(x) = -x**2. Calculate z(s(g)).\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -19*l**3 + 6*l**2 + l - 1. Let d(b) = 20*b**3 - 5*b**2 - b + 1. Let m(t) = 5*d(t) + 4*k(t). Is m(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -200*m**3 + 96*m**2 + 48. Let k(o) = o**3 + 2*o**2 + 1. Calculate -c(w) + 48*k(w).\nAnswer: 248*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*s - 18377 = -42*s. What is the hundreds digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*y**4 - 1068245*y**3 + 19019301040*y**2 - 6339648320*y = 0. Calculate y.\nAnswer: 0, 1\/3, 35608","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 12 = 0, l = 3*l + 2*k - 8. What is the third biggest value in 4, l, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/1889 in -3\/2, 1\/5, -3, 2, 2\/227?\nAnswer: 2\/227","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqq. Give prob of picking 3 q.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 147582?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-850)\/285 - -3)\/((-3)\/18).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -7*y + 1. Suppose -4*w = 3*l + 19, -2*w = 6*l - 5*l + 9. Let x be i(l). Suppose -1 = -x*h + 7*h. Solve 0 = -3*n + 5 + h for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 533 and 52.\nAnswer: 2132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 11*a - 11. Let l(v) = 9*v - 12. Determine -3*h(s) + 4*l(s).\nAnswer: 3*s - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of 9*z**2\/2 - 163*z - 5377. Calculate d(17).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61540 (base 7) in base 13?\nAnswer: 6ab7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11212*p*t**4 + 5*p*t + 14*p - 36*t wrt t?\nAnswer: 134544*p*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.91 - -0.91. What is the fourth smallest value in 3, 49, -5, w?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = -5*a + 25, -238977*q = -5*a - 238980*q + 57 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -22 (base 3) to base 14\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 42, 49, 62, 81, 106, 137?\n\"Answer: 3*r**2 - 2*r + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12031 divided by -1609.\nAnswer: -12031\/1609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 - 2.02173.\nAnswer: -1.92173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 0*k + 2*b + 10, 0 = 4*k - 4*b - 28. Let o(w) = 4*w - 6. Calculate the least common multiple of k and o(6).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12016, -2, -5, -1, 0.1.\nAnswer: -12016, -5, -2, -1, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 306 + -310. Is b at least -29\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10394099\/64 - -162408. Let u = 6910 + -193373\/28. What is the common denominator of u and v?\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*f*s**5*x - 16*f*s**2 + f*x**2 + 36*f - 2*s**2*x**2 + 2*s wrt s?\nAnswer: 40*f*s**3*x - 32*f - 4*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 131599783.\nAnswer: 7, 1993, 9433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 PM and 10:44 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 3*s**3 + 7*s**2 - 6*s + 4. Let d(v) = -6*v**3 - 15*v**2 + 11*v - 7. Give 3*d(u) + 5*p(u).\nAnswer: -3*u**3 - 10*u**2 + 3*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1012*b + 1009*b = 12, 0 = 4*a - b + 24 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15515?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -105.7 to the nearest ten.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 y when three letters picked without replacement from yoyyyyyyyyyyyyoo.\nAnswer: 39\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -11142121240 (base 5) in base 9?\nAnswer: -25386663","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1364*w + 1357*w = -21. Solve 0 = -c - 2*v - 5, 13 = -c - w*c - v for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156) + 1*sqrt(156))\/sqrt(12)*1)**2 + 0 + sqrt(130)\/(sqrt(30)\/sqrt(3)).\nAnswer: sqrt(13) + 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 212, -59, -330, -601, -872?\nAnswer: -1143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 4 - 5)*(91 - 14 + 73)*(f - f - f) to d*f + i and give d.\nAnswer: 300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7413 and 1050.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*o + 30 = 47*o. What is the first derivative of -4889*m - o + 41 + 4865*m wrt m?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17899 divided by 1\nAnswer: -17899","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 177 - -33. Let w(j) = 15*j - 3. Let g be w(10). Suppose 3*l = 5*o - g, -62 = -2*o + l - 3*l. Calculate the highest common factor of o and b.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k*k\/((k*(k\/k**(-3\/5))\/k*k)\/k)*k*k)\/k)**(7\/6))**(-15) assuming k is positive.\nAnswer: k**(-42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-720)\/(-100))\/(-2)*-5.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -293\/1099 - 3\/157. Let t = -1.8 + -0.2. Which is the closest to p? (a) 0 (b) t (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.272949 millilitres in litres?\nAnswer: 0.001272949","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 5\/133543?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23075?\nAnswer: 5, 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 0 - -5 - (-4050)\/27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, -27, -63, -123, -213, -339?\nAnswer: -507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-90)\/210)\/(2\/7).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 2230.6\nAnswer: -2228.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + 3 - (-1 + 2)) + -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -214 - -330. Suppose -88 - j = -4*k. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**2 - 4505*i - 2870460.\nAnswer: 5*(i - 1332)*(i + 431)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/8 of a microgram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z and 1 h when four letters picked without replacement from hzzzhhzzhh.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000467 rounded to 5 decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 256*v**2 - 2*v + 11. Is f(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/77 and -25\/7.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the third derivative of -7\/6*z**3 + 0*z + 0 + 0*z**4 - 3\/20*z**5 + 8*z**2. Find the first derivative of k(t) wrt t.\nAnswer: -18*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 4*w + 320, -2*m - 2*w = -0*w + 146. Suppose -4*b + 408 = -0*b. Let r = m + b. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - m + 1 = 0, 3*k - 4*m = -k + 20. Let x = 306964 - 306963. Which is the closest to x? (a) 7 (b) 2 (c) 0.1 (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 + 8*c**2 - 3*c - 4. Let l be o(-8). Let x = 17 - l. Is (-3 - x - -1161) + -2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02000141 to two dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 131, 121, 97, 53, -17, -119, -259?\n\"Answer: -g**3 - g**2 + 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12258183?\nAnswer: 3, 7, 83389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-256*m - 12883 + 12883)*(-1 + 5 - 2) - 2*m - 5*m + 4*m as w + k*m and give k.\nAnswer: -515","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4795406512 to the nearest integer?\nAnswer: 1686","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -59 - -66.6. Let z = -0.052 - 10.548. Let h = z + f. What is the third smallest value in 3, h, -0.6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 38, -5042, 3.5, 2\/3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + h + 28 = 0, 0 = 5*l + 4*h + h - 40. Solve -3*w + 11 = -5*k, k + l = 6*w - 2*w for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00071703675 to four dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0416 - -9825?\nAnswer: 9824.9584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 15*h**2 - 4*h - 2. Let x(l) = -22*l**2 + 6*l + 3. Let o(u) = 3*r(u) + 2*x(u). Let a(c) = 0 + 0 - 5*c**2. What is a(o(j))?\nAnswer: -5*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-3) - (-260)\/3. Suppose 156 + 162 = -4*v + 5*o, v = -2*o - u. What is the units digit of v\/(-4) - (-12)\/8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.12 from 3.\nAnswer: 2.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*m = 26*m + 3 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/(k\/(k*k*(k\/(k*k**(-9)))\/k))))\/((k*k**(2\/7))\/k))**(-35) assuming k is positive.\nAnswer: k**325","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 5*t = 375 - 289, -4*y = 2*t - 3 + 103 for y.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 8, 50, 120, 218, 344, 498?\n\"Answer: 14*v**2 - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from dddddddxdxgxgx?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/18150 and -17\/440?\nAnswer: 72600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3645 - 7590. Let b = -2745 - d. Let t be b\/(-9)*(-6)\/(-4). What is t rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(336)\/sqrt(6))\/sqrt(8) + -1)**2.\nAnswer: 8*sqrt(7) + 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15542)\/(-190) - 86)*(-15)\/7.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, o: 2, b: 1, z: 1, l: 1}. Give prob of sequence ol.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55482 - 90576 = 6639*x for x.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 37, -25, -5, -4\/9, 10, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 - 135\/70)\/(34\/136). What is the closest to -106 in c, 0.3, 2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**4\/5 + 17772*g**3.\nAnswer: 2*g**3*(g + 44430)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1734, -2789, -3766, -4671, -5510, -6289?\nAnswer: -7014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/9, -0.02, 41?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -139, -4\/7, -2\/19, 1\/4, 0.6, -31?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2259?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-11)\/(-110)*(30\/32)\/1)\/((-117)\/(-52))\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from ddtsssd?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-45)\/(-30)*(-8)\/(-2)*18*357\/(-612).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2121210212000 + 221?\nAnswer: 2121210212221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/216)\/((-144)\/(-324))?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3143728775 divided by -5\nAnswer: 628745755","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 51204, -6, -5, 1, -1.\nAnswer: -6, -5, -1, 1, 5, 51204","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9825162*g + 269701733 wrt g?\nAnswer: 9825162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3.2, 2, -2\/5, -2, -28.35?\nAnswer: -28.35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 48 + w + 44 + 7*w - 2*w - 3*w**2 - 83 = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-49)*p**(21\/5) assuming p is positive.\nAnswer: p**(-224\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {x: 2, g: 2, o: 3, w: 2, b: 6}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 50503 - 50463.0976. Let d = s - 40.2. What is d rounded to 2 decimal places?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(468) + sqrt(13) + sqrt(208)*2)*-1 + 1 + -2.\nAnswer: -21*sqrt(13) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 6:18 AM?\nAnswer: 7:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -15 divided by -21697\nAnswer: 15\/21697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - 2*m)*(6 - 5*m + 2*m + 2*m) - 39*m**2 + 54*m**2 - 55*m**2 + (0*m + 4*m - 3*m)*(2*m - 2 + 2) to a + k*m + f*m**2 and give k.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (6 + 2 + -1)\/((-3)\/((-66)\/1)) and 280.\nAnswer: 3080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -f - 4*u + 5*u - 5, -5*u = 7*f - 1 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2320?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (108 - 59 - 58)*(2*v + v + v) + v - 2 + 2 as g + o*v and give o.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 37.05083421 to two dps.\nAnswer: 37.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2564906\/9 + -285314. Let r = k + 324. Let i = -247\/5 - -50. What is the second smallest value in -5, r, i?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-1*sqrt(1372) + sqrt(1372)) - (sqrt(1372) - -3*((sqrt(1372)*2 - sqrt(1372)) + sqrt(1372))))\/(sqrt(8)\/sqrt(8) + -5*sqrt(28)\/sqrt(7))*3.\nAnswer: 98*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 55471, -2\/7, -3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 1148 - 2271 - 134*h + 1125 as d*h + b and give d.\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 9*m. Let p = 32 + -34. Let j be i(p). Let x be (-258)\/(-9) + (-24)\/j. Calculate the highest common divisor of 75 and x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-8 + 2)\/6)\/((-2)\/10). Let a be 2\/g + 1018486\/35. What is a rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -65.7 rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/5 in 1, -1\/5, 0.401, 1\/35?\nAnswer: 0.401","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 115*i**2 + 25*i - 14*i - 11*i as k + d*i + b*i**2 and give b.\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1605 is divided by 798?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1116 and 8308.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -2. Let q(z) = 5*z**2 + 1. Is q(s) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 2674*d**2 - 23*d + 4. What is the hundreds digit of n(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 6:07 AM?\nAnswer: 8:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pq when two letters picked without replacement from ixiipibiipbq.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 244455 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 + -11. Let h(z) be the second derivative of -z**3\/2 - 4*z**2 + 54*z. Let f be h(r). Solve f = 2*m - 3 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-3) + 2)\/(-6)*-6.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 112*a**4 + 168*a**4 - 158*a**3 + 157*a**3 + 142*a**4 + 411 wrt a.\nAnswer: 1688*a**3 - 3*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -144.2 * -128.\nAnswer: 18457.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2.8 and 628460820785.\nAnswer: 628460820782.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -341 + 448. Is j a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/14399 and -58\/14399.\nAnswer: 14399","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 298698841?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 73 + -53. Find the first derivative of m**2 - 18*m**2 + z - 10 wrt m.\nAnswer: -34*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3227, -3245, -3289, -3371, -3503?\nAnswer: -3697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 3 - 6 = 0. Suppose 3*u = -6*p + 3*p + q, p - 4*u = 16. Suppose -n = 5*t - 2*n - 245, 3*n = -p*t + 196. Does 19 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 60200 and 57129800.\nAnswer: 57129800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 9:46 PM?\nAnswer: 8:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -79 or 438?\nAnswer: 438","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = 3*b - 4*b - 24, 153*m - 154*m = 5*b for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10306 - 7045. List the prime factors of s.\nAnswer: 3, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 49*x - 1 - 50*x + 20 - 86*x**2 wrt x?\nAnswer: -172","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2 + 28*q - 222. What is c(-26)?\nAnswer: -274","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 430986450 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2*p**3 - 5*p**2 - 3*p - 14. Is 24 a factor of t(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*t**2 + 0*t**2 - 10*t**2 + t**3 + 2*t - t**2 to the form d + s*t**3 + r*t**2 + i*t and give r.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 229 + 0*g - g - 238.\nAnswer: -g - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3\/3 + 112*i**2\/3 + 412*i + 1200.\nAnswer: (i + 6)**2*(i + 100)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -343 by -7.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3777.\nAnswer: 3, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24230647.\nAnswer: 7, 103, 4801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o + 17. Let d be b(-8). Suppose d = 4*t + 3*s, 5*s - 1 = -3*t + 14. Suppose -7 = -r - t. Solve 0 = -c + 4*z + 18, -2*c - z - r = -c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1195 take away -1.31726?\nAnswer: -1193.68274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5358917 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1112.8 and -93.\nAnswer: 103490.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -53.93152 rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 6 + 2 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, 39, -4, 3 in increasing order.\nAnswer: -5, -4, 3, 4, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*w = -4*i + 385, 0 = 8364*w - 8359*w + i - 93 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + -47421?\nAnswer: -47426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 6*f - 4*f - 2)*(-3 - 2*f + 3).\nAnswer: -4*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 10:32 PM?\nAnswer: 3:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 322 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 268, 14, 3, -1.\nAnswer: -2, -1, 3, 14, 268","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 360788613?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 160 and 7.\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7 or -567\/74?\nAnswer: -567\/74","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/5 or 142?\nAnswer: 142","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 363691.\nAnswer: 363691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -327, -641, -933, -1191, -1403, -1557?\n\"Answer: 2*c**3 - c**2 - 325*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 6 (b) 4\/7 (c) 2\/3 (d) -23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 926344 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*l + 4*h - 4, -16 = 60*l - 64*l - 16*h for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 - 14*u**2 + 9*u - 6. Let i be f(13). Let y = i - -53. Is -5*(y - (-2 + 56)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of 5*w**6\/24 + w**5\/10 - 11*w**4\/16 - 2*w**3\/3 - 3435. Suppose z(u) = 0. What is u?\nAnswer: -1, 0, 8\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -2*c**2 + 2*c - 2814670. Let w(d) = -2*d**2. What is o(w(v))?\nAnswer: -8*v**4 - 4*v**2 - 2814670","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 317285597?\nAnswer: 10847, 29251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -65*b**2. Let u(h) be the first derivative of h**2 - 58. Determine u(c(k)).\nAnswer: -130*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -0*s - 5. Suppose 0 = -3*m + 12, 0*h + s*h = -m + 29. Suppose 0 = -0*a + a - 2*x - 10, -h*x = -2*a + 25. Solve 2*d + d + 6 = a for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) 4\/5 (b) 2\/7 (c) 2\/9 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 134024827 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -5*r**2 + 3*r**2 - 5 + 6*r**2 - 4*r. Suppose 15*i - 96 = 4*i - 5*i. Let v(u) = 5*u**2 - 4*u - 6. Suppose -7*o = -5*o + 10. Give i*f(l) + o*v(l).\nAnswer: -l**2 - 4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/49))**36 assuming j is positive.\nAnswer: j**(-72\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 9 - 9 = 0. Let i(m) = -m**2 - 6*m + 98. What is the tens digit of i(n)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -44 + 47. Suppose 4*s = -4*j + 28, 6*j = s + c*j + 5. Calculate the remainder when 7 is divided by 2 + ((-8)\/(-10))\/(s\/10).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 750\/421811 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five quarters of a century?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 16 = 0, -2*q = 5*r - 52 + 32 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2279 and 31049.\nAnswer: 70760671","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 48*k + 27391 = 0. Calculate the smallest common multiple of 9 and k.\nAnswer: 5031","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 9) to base 6\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*n + 5*n + 32 = -16*n. Sort -4, -3, n, -4289.\nAnswer: -4289, -4, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2674 <= -2672?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rdm when three letters picked without replacement from fqqrdrqqrmmf?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 3*v - 27. Suppose -4*a = -4*z + 44, -21 = -5*z + a + 30. Let t be w(z). Solve -t = 3*k - 15 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/269, 3\/16, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 48257 and 82.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvpvpvpvvpvppvpvpp. Give prob of picking 3 v and 1 p.\nAnswer: 21\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 312032100 (base 5) in base 9?\nAnswer: 2365440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43\/4 + 36\/8*11\/(-66).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 s when two letters picked without replacement from ssmmssmssmssssssss?\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1.2, 3, -268?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 - (0 - -3) - -2. Is -3 less than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = 5*k - 12, -28 = -5*k - 0*q + 4*q for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xl when two letters picked without replacement from allllkaxqxqlalx.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, 7, 11, 2109.\nAnswer: -5, 0, 7, 11, 2109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 39*q**2 + 168*q + 35*q**2 + 41*q**2 - 1 - 117*q**2 to the form z*q**2 + n*q + p and give n.\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (84\/112)\/(1\/4). Let k(z) = -z + 4. Let d be (-1 - 0)\/3*-15. Let c(f) be the second derivative of f**3\/3 - 7*f**2\/2 + 9*f. Determine d*k(x) + i*c(x).\nAnswer: x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 136.8 - 137. Let l = 15 + -13. Suppose 3*x - 10 = -5*j, 0*j + l*x = j - 2. Which is the nearest to 2\/3? (a) w (b) j (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (11\/2)\/(23650\/356900)?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432)*-2 + -4)**2 - (5 + 1 + sqrt(432)) - (0 + ((sqrt(15) + sqrt(15)*-2)*-6)\/sqrt(5)).\nAnswer: 174*sqrt(3) + 1738","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -1257*l + 15028. Calculate f(12).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/24*2)\/((-480)\/512).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5252135.21 rounded to the nearest 100?\nAnswer: 5252100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 24 = 7*m. Let z(b) = -b. Calculate the remainder when z(m) is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1529585 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than -471\/409423?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -64 + 66. Suppose b*u = -d + 1298, 0 = -0*d + d - u - 1310. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1122*t + 208\/5*t**2 + 10404\/5 - 2\/5*t**3.\nAnswer: -2*(t - 51)**2*(t - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3891 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -31075, -62164, -93267, -124390, -155539, -186720?\n\"Answer: -x**3 - x**2 - 31079*x + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/4)*h)**(-38)\/(h**3*h\/(h*h**(2\/19)\/h)*h)*((h*h**0)**(-14\/5))**31 assuming h is positive.\nAnswer: h**(-26447\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4.34 and 2695.\nAnswer: -11696.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9350 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5 (b) 0.6 (c) 458 (d) -23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, h: 2}. Give prob of sequence hw.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.487 to 0 decimal places.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -15*y - 3. Let t = 3506 + -3503. Determine r(t).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/((-5)\/(-1))*-4. Let v(f) = f**3 + 4*f**2 - 1. Give v(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 598 - 55018717583?\nAnswer: -55018716985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03882569 to 3 dps.\nAnswer: -0.039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -41215, -164822, -370811, -659188, -1029959, -1483130, -2018707?\n\"Answer: -o**3 - 41185*o**2 - 45*o + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 w when two letters picked without replacement from {h: 2, w: 2, j: 4, f: 1, c: 1}?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 4*v + 12 = -9*v, 2*w - 5*v + 8 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2470196*n. Let y(c) = -46*c. What is x(y(v))?\nAnswer: -113629016*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*g**3 + 324 + 0*g**3 - 326 + 2*g**2 - 4*g to the form v + p*g + t*g**2 + f*g**3 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6836351 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3890 and 20577322?\nAnswer: 778","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 8:05 PM?\nAnswer: 2:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 f when two letters picked without replacement from {m: 6, f: 1, d: 5, u: 3}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -20126 (base 7) in base 11?\nAnswer: -3729","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a litre in millilitres?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/(sqrt(81)\/sqrt(3)) - (sqrt(28)\/sqrt(4) + 5 + -3 + (sqrt(7) - -1*sqrt(7)))**2.\nAnswer: -67 - 35*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*y - 2*y. Suppose -3*w + 184 = g, -80 = -y*w - w - 5*g. Does 14 divide (-2)\/2 + -3 + w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -4 = -188?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2981766 divided by 32062?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - (8 + 0) - (-152)\/(-48).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19361.\nAnswer: 19, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 90\/(-60) - (-1)\/(-2). Let k(v) = -5 + 4*v + 0*v**2 - 3*v**2 + 4*v**2 + 9*v**3. Let d(b) = 4*b**3 + 2*b - 2. What is x*k(r) + 5*d(r)?\nAnswer: 2*r**3 - 2*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(1\/5))**(-1\/25)\/((v*v**(1\/4))\/(v\/(v*v**(-1\/9)*v))))**(-43) assuming v is positive.\nAnswer: v**(423163\/4500)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together -7408099.56315 and -214.\nAnswer: -7408313.56315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1454*m + 339*m - 1629*m - 2424*m)*(0 + 2 - 1)*(-1 - 4 + 4).\nAnswer: 5168*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ct when two letters picked without replacement from cgtggrggccct.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 2*r - 1)*(3 - 4 + 9)*(r + 1 + 2 - 2) to the form w*r + g + q*r**2 and give w.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h - 1592 + 14 = 0. Let s = 442 + h. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of 0*s + 2 - 7\/12*s**4 - 1\/3*s**2 - s**3. Let r(q) = 0. What is q?\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -303130 - 0?\nAnswer: -303130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x**2\/9 + 48968*x\/9 + 48974\/3 = 0. Calculate x.\nAnswer: -3, 24487","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 2:57 PM?\nAnswer: 12:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1543242 (base 9) in base 14?\nAnswer: -1839c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -246*(-21)\/567 + -8.\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 - 13*o - 43. Let j be r(-6). What is the closest to -0.1 in 2\/9, -2, j, -4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, -56\/78777, 3, -1\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 + 17*q**2 + 24*q - 38. Calculate m(18).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 120 is divided by 94?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 280 equal to 280?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 PM and 8:16 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 24? (a) 0 (b) 25117 (c) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 + 17*t + 30. Let x = 30 - 46. What is the remainder when 96 is divided by s(x)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 2. Let s = j - 4. Let i = 2.09 + -1.09. Which is the smallest value? (a) i (b) -3 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38986 a multiple of 101?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 - 1583*b**2 + 72186*b - 2. Determine d(47).\nAnswer: -284","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrrororrrr. What is prob of sequence rr?\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1200201002011 - 2?\nAnswer: -1200201002020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38, -7, 2 in decreasing order.\nAnswer: 2, -7, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of -16*p**5\/15 - 43*p**3\/6 + 24*p**2. Differentiate c(w) wrt w.\nAnswer: -128*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.09531 - 0.08955. What is s rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:22 AM and 3:42 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 473407?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of k**4\/8 + 8*k**2 - 66*k. Let u(r) be the first derivative of s(r). Let q(d) = -7*d**2. Give u(q(y)).\nAnswer: -21*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3485 = -378*f + 109*f + 1088 for f.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 80002495*a**5*b + 71893*a**2*b + 238*a*b wrt a.\nAnswer: 4800149700*a**2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 499225 a multiple of 95?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -48, -111, -172, -231, -288, -343?\nAnswer: -396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 5 + (sqrt(19) + 3 - sqrt(19))**2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 371*s**2 + 565*s + 42. Let i(h) = -1112*h**2 - 1694*h - 119. Let x(j) = 6*i(j) + 17*o(j). What is the second derivative of x(b) wrt b?\nAnswer: -730","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 559565366?\nAnswer: 2, 6299, 44417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 5, -3, 3, 2\/787?\nAnswer: 2\/787","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 3*o - 19. Let q be c(7). Let j(x) = 3*x - 6. Let a(i) = -i. Let w(b) = q*a(b) + j(b). Let z be w(6). Solve 2*h + 2 = r - z, 3*r - 4*h = 6 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3\/17 + 29\/221. Let n = 6203 - 6205. Which is bigger: m or n?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24806149 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.18, -0.3, -0.4, -11, -1\/9 in descending order.\nAnswer: -1\/9, -0.18, -0.3, -0.4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 257133.\nAnswer: 3, 85711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 2, 3, -0.551?\nAnswer: -0.551","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -69, -4, -40, 1.\nAnswer: -69, -40, -4, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40 and 1905?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -0*z - 3*z + m, 4*z + m = -7. Which is the second smallest value? (a) 0 (b) 0.02 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -2*j + 3. Suppose -2*p + j*c + 4 = 0, p + c - 4*c = 2. Find the third derivative of g**4 - g**2 - 2*g**2 + p*g**4 wrt g.\nAnswer: 72*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/51371230 and 61\/41096984.\nAnswer: 205484920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 148 divide 1797608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1360475*t + 7560 = 1360259*t for t.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 3077?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of h**4\/12 + h**3\/6 + 7*h**2\/2 + h. Let q = -4 + 14. Suppose -k - 2*w = k - q, -k = 5*w - 25. Give v(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = 5*d + 10 + 20, 5*d = -4*g + 5 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.23771 rounded to 2 decimal places?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53610 is divided by 691.\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1230485 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - -1) + (-42)\/15. Let o = -9 + 6. What is the closest to -1 in -0.1, o, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**2 + h**2 + 2*h**2)*(-3 + 3 + 1 + 0 + 1 - 3 + (6 - 3 + 1)*(2 - 1 + 1)).\nAnswer: 14*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02084792 rounded to two decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/(-8))\/(3\/6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4715036882?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -4. Let h be o\/(-8) - (-30)\/(-8). Is h\/(-14) + 2082\/14 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -15*b**2 - 2*b. Let n(w) = -3562*w**2 - 611*w - 143. Let c(x) = 99*x**2 + 17*x + 4. Let s(f) = 143*c(f) + 4*n(f). What is 13*q(m) - 2*s(m)?\nAnswer: -13*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 68 and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 - f**2 - 15*f - 6. Let k be x(5). Find the third derivative of k*g**2 + 28*g**5 + 38*g**5 - 21*g**5 + 2*g**2 wrt g.\nAnswer: 2700*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -a**3 - 87*a - a**2 + 20*a**2 + 25*a**2 wrt a?\nAnswer: -6*a + 88","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xnrrmfl. What is prob of picking 1 n, 1 m, and 1 r?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 4*j - 8. Let u(s) = 5*s - 2. Let a(o) = 27*o - 10. Suppose 3*k = -r - 69, -31 = k - 0*k + 3*r. Let g(n) = k*u(n) + 4*a(n). What is 13*g(p) + 6*l(p)?\nAnswer: -2*p + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3003 + 4297. What is the thousands digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9353?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -1, -21\/5, 0.1, 0, -3 in decreasing order.\nAnswer: 0.1, 0, -1, -3, -21\/5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 36 = 3*a. Let f(p) = -p**2 - 3*p + 4. Let b be f(1). Solve b = -n + 4*n + a for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14 - -6) + -13 + -19.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 33*a**3 + a**2 - 23824*a + 5058903 with respect to a.\nAnswer: 99*a**2 + 2*a - 23824","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(1 + (sqrt(130)\/sqrt(10) - sqrt(13)))*-2.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a millennium in months?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, -41, 146 in descending order.\nAnswer: 146, -2, -4, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -26 by 26.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 3 - 12*l**3 - 4 + 5 + 14*l**3 - 11*l + 10*l**2. Does 4 divide c(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2*u - 9 + 19*u**2 - 7*u + 9*u. Let i(l) = -28*l**2 + 13. Give -5*i(g) - 7*p(g).\nAnswer: 7*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 - (-2 - 1))*-12. Let r be 6\/4 + (-6)\/b. Solve -r*g - 12 = g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*x + 73*x + 40 = 0. Let w be -5 + 24 + -2 - x. What is the greatest common divisor of 132 and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 + 3*m**2 - 3*m. Let h(s) = -s**2 - 2*s + 3. Let d(o) = -o + 1. Let k(v) = -3*d(v) + h(v). Calculate 6*k(x) + 2*q(x).\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -846b4 (base 12) in base 8?\nAnswer: -523350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 + 12 - 21*m - 2*m - 22 to the form v*m + p and give v.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162) - (-2 + sqrt(162)))**2 + 4 - (1 + sqrt(2) + -5 + sqrt(2) + 5).\nAnswer: -2*sqrt(2) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 190 = 23*i + 29 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -10.16 * 18412\nAnswer: -187065.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*m**5 + 32445*m**4 - 847095*m**3 - 944405*m**2 + 1759050*m = 0. Calculate m.\nAnswer: -6515, -2, 0, 1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.078 + -1.922. What is the second biggest value in 0.2, -21, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 2*y**2 - 2. Let f(r) = -r**2 + 1. Let c(g) = 8*f(g) + 3*w(g). What is the derivative of c(k) wrt k?\nAnswer: -4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*j + 17*j - 9*j**2 + 8*j**2 to k*j**2 + v + i*j and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 188\/((30\/4)\/15)?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 5*k. Let i = -129 + 131. Let h be 3*(-5)\/(15\/(-2)). Let g(t) = -9*t**h + 8*t**2 + 2*t**i. Give g(n(o)).\nAnswer: 25*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 82002647 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 778*v + 1245*v - 28121 = 25079 + 19628 for v.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 225919 = 150*c + 211069 for c.\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-3\/4)\/y**(5\/7))**(-1\/11) assuming y is positive.\nAnswer: y**(41\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/30 and 76\/25453839?\nAnswer: 254538390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-3))\/(6460\/570)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 62\/207 - 12\/23. Let h = 39\/2 + -20. What is the closest to h in k, -1\/5, 5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -9*m + 1. Is v(-6) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1 and -16295872040625.\nAnswer: -16295872040626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12389 - -12389. Let d be 1\/4 + (-6)\/(-8). Solve r*k = k + d for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -15\/91 in -0.2, -5988, -2\/7, 1\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 190 = 3*a + 6*q, -5*a + 324 = q. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 56 and 1344.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -11668158\nAnswer: 1\/5834079","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*i + 3*z + 22 + 10, 0 = -5*i - 5*z for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-5*(-1 + sqrt(612)).\nAnswer: -30*sqrt(17) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 5, 59, 4, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -a + a1d?\nAnswer: a13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 288c (base 14) in base 8?\nAnswer: 16014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 + 2 - (-2)\/(-157). Let m = q - -320\/471. Which is the second smallest value? (a) -5 (b) 4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, -356, 4661, 0, -5 in decreasing order.\nAnswer: 4661, 3, 1, 0, -5, -356","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13\/22 - 12\/11. Let p = -27 - -26. Which is the second biggest value? (a) 0.2 (b) p (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 81, 232, 401, 588, 793?\nAnswer: 1016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 32 - a1?\nAnswer: -6d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4762 is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4970?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 23*r**3 - r**2 + 6*r + 18. Let n be s(-8). Let f = 22303 + n. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-9)\/(-15)*(-2 + (-8)\/(-6)). What is the closest to -3\/8 in 4, 0, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 2:04 AM?\nAnswer: 2:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**4 - 3615*n**3 - 10884*n**2 + 14496*n.\nAnswer: 3*n*(n - 1208)*(n - 1)*(n + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2099067?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a + 8*a - 1423 = -4*y, -1760 = -5*y - 5*a. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 4*b = -68, -77*n + 5*b - 47 = -80*n. Do n and 0.1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (-1 + 1))\/(19\/38).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-48)\/(-9))\/((-1)\/(-3)). Let r(b) = b**2 - 2*b. Let j be r(3). Suppose -2*h - 8 = 0, -4*h = j*a + l - 51. Is 7 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3754000 rounded to the nearest one hundred thousand?\nAnswer: -3800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -7*d**3 - 7*d**2 - 39*d + 76. Determine t(-7).\nAnswer: 2407","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = -v - 27, -86674*p + 86674*p + 3*v + 69 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3.2 (b) 0.5 (c) -0.4 (d) 0.039 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 + 5*h**2 + 8*h - 4. Let u be z(6). Let o = u - 5. Solve -o*w = -5*q + 8, 5*w + 8*q = 4*q - 1 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00273326 to 6 decimal places.\nAnswer: -0.002733","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + -2130?\nAnswer: -2121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 13) in base 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 6*k - 2*p - 27, 4*k - 73 = p. Suppose -13*m + 270 = k*m. Calculate the remainder when 42 is divided by m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1871 * 0.4\nAnswer: 748.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - s, 0 = 4*x - 3*x - 3*s + 7. Let b be 3\/((-60)\/(-5))*x. What is the third biggest value in -1\/31, b, 4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 625 and 1375.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/((-6)\/(-2) - 4). Let u be (2 - -23)*8\/40. Suppose -39*s + u = -38*s. Put s, 2, z, 3 in decreasing order.\nAnswer: s, 3, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + (40 - 22) - -5?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 - 27 = -4*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2850 divided by 19\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 590*f - 70. Let r be l(9). Suppose -20*n = r - 14240. What is the hundreds digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 5, 1, -0.35?\nAnswer: -0.35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*m + 2*n + 15 - 7, 0 = m + 2*n for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 211620 - 1?\nAnswer: 211616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -9*h**2 + 3*h - 4. Give p(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(8\/7)*(-348)\/(-1421).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 4*x + 13 = 0, 120*c = 122*c - 3*x - 10 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vnnm when four letters picked without replacement from {e: 1, m: 8, v: 1, n: 2, r: 2}.\nAnswer: 2\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1.03472+44238416\nAnswer: 44238417.03472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -401*v**2 - 3*v + 3. Let g be a(1). Let p = 522 + g. Is p <= 122?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 - -5.94. Let b = 5.06 + a. Let h be 1\/(1*2\/4). What is the nearest to 2\/3 in h, b, -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 p when three letters picked without replacement from {a: 3, r: 3, v: 5, p: 6, u: 2, w: 1}.\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 400 and 850.\nAnswer: 6800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.64 + 52.36. Let f = j - 55.000007. What is f rounded to seven dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 4*i - 2. Let v be (-2)\/(-11) + 53\/11. Let w be j(v). Calculate the remainder when 44 is divided by 274\/w + (-8)\/36.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.4 (b) 2955 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 39060 and 286440.\nAnswer: 859320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 32995311 rounded to the nearest 1000000?\nAnswer: 33000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (9 - 17)\/(2\/(-1)). Suppose -q*t - 100 = -8*t. What are the prime factors of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -46796*i**3 - 339*i**2 + 2*i + 17 wrt i.\nAnswer: -280776","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ypdzdddmndmmy. What is prob of picking 1 z, 1 y, 1 d, and 1 m?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1048 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15.12 + -0.12. Let s = 11 - r. Let f be 13\/(-10) + 4\/(-20). Put s, f, 1\/6 in descending order.\nAnswer: 1\/6, f, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - -b5?\nAnswer: b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 121*d**3 + 9738*d**2 - 9738*d**2 + (-3*d**2 - 4*d**2 + 5*d**2)*(-8*d + 2*d - 6*d).\nAnswer: 145*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*q + 0*c = 31*q - 5*c, -3*q + 9 = 2*c for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-2 + sqrt(448) + sqrt(448)) + 1 + -5.\nAnswer: -96*sqrt(7) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -11*m - 105. Let b be f(-10). Suppose -8 = -5*s - 4*t, 3*t = -0*s + b*s + 6. Suppose -1\/10*r + s - 1\/10*r**2 = 0. Calculate r.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -48\/5 - -36\/5. What is the common denominator of (1\/(-3))\/(112\/714) and k?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(171)\/sqrt(36) - (4 + sqrt(19)*-2) - (1*sqrt(931) + 4 + 1*sqrt(931)*-1 + sqrt(931))))**2.\nAnswer: 648*sqrt(19) + 16155\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 7\/3, 2, 1311, -1, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of -21*i**2\/2 + i - 27. Determine k(1).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/5))**(3\/13)*(c**(-2\/33)*c)\/(c*c**(-23)*c) assuming c is positive.\nAnswer: c**(47159\/2145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 - 45*g**2 + 435*g - 14. Let i be o(31). Solve i*z + 17 = -17 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 7*x**2 + 6*x + 7. Let u(g) = 6*g**2 + 5*g + 6. Let z(w) = -3*c(w) + 4*u(w). Calculate the remainder when 8 is divided by z(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22 + 16. Let q(k) = k**3 + 6*k**2 + k + 5. Let c be q(h). Is 12 a factor of (2 - c\/(-1)) + 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-16) + 18\/8. Differentiate 2*n**2 + 5 - n**s + 7*n**2 - 5*n**2 wrt n.\nAnswer: 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 12*a - 2. What is the tens digit of i(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -399 divided by -133.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 g, and 1 y when three letters picked without replacement from {b: 3, a: 6, g: 1, y: 2, c: 4}?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 11:00 AM?\nAnswer: 1:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 2:29 PM?\nAnswer: 4:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 38*u**4 + 1308*u**3 + 9877*u**2 + 2?\nAnswer: 912*u + 7848","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 503*o - 510*o = -49 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -5736\/4021?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 53156661, 53156660, 53156659, 53156658, 53156657?\n\"Answer: -r + 53156662","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 AM and 5:20 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are 175180\/23 and 7617 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 42873203 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1200304465?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 2*q - 122 = 0, 4*h + 2*q - 127 = 45. Calculate the remainder when 289 is divided by h.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = -p - 30 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 642 is divided by 51?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2 + 11*w. Let x(v) = 16*v. What is x(q(a))?\nAnswer: 16*a**2 + 176*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of -o**6\/30 - 3*o**3 + 41*o + 2. What is the second derivative of v(r) wrt r?\nAnswer: -12*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, -0.3, 658, 4?\nAnswer: 658","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 13*t**2*w + 23149*t**2 - 72*t*w**2 - w**2 wrt w.\nAnswer: 13*t**2 - 144*t*w - 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0508308 rounded to 2 decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 l when three letters picked without replacement from {s: 5, h: 6, l: 2}?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 271\/194 + -21259\/26190. What is the common denominator of 13\/75 and h?\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -17 + 1. Solve n = 0, -h - f*h = n + 15 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -q**5\/2 - 41*q**4\/2 + 437*q**3\/2 - 659*q**2\/2 - 218*q + 350 = 0.\nAnswer: -50, -1, 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3111 = -194*z - 1739 for z.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 540 and 2154870?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 b when three letters picked without replacement from xbxxbllllbxxxxxlxxb.\nAnswer: 60\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + (-17 - (3 + -14))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(-8 - (-126)\/18).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 280496*k**4 + 292*k**2 + 165*k + 2?\nAnswer: 6731904*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c - 66 = 7*c. Let l = 114 - -2. Let h = l + -94. Does c = h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 16 = -2*l, 7*a - 3*a + 8 = l. Let s(i) = 2 - l + 0*i + i. Let k be s(5). Let p(c) = -2*c**3 + c + 1. Determine p(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 11:00 PM?\nAnswer: 4:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*b**3 + 953814*b**2 + 13354080*b - 30523392 = 0. Calculate b.\nAnswer: -16, 2, 317952","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 9.969 times 1.1\nAnswer: 10.9659","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 5*a = -1 + 5, -2 = 5*o - 4*a for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (28\/8)\/((-2)\/(-4)). Let z = t - 3. Solve -3*p - 5*m = -13 + 1, p - z = -2*m for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (7 - (-2 - -2)) + -1. Suppose 6*u = -3*a + 2*u + 53, 0 = a - u - q. Let k = -3 + a. Is k a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 6 = -2*n - 2*n, 9 = 5*n + 2*v. Let x = 206 - 197. Are x and n nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of -m**5\/5 + 155*m**4 + 3152. Factor f(c).\nAnswer: -c**3*(c - 620)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14706 and 2322?\nAnswer: 44118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, -4, 8 in increasing order.\nAnswer: -4, 4, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -0.4, -1891, -200 in ascending order.\nAnswer: -1891, -200, -0.4, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 6*k**2 + 5*k - 5. Let r(a) = -18 + a + 11*a + 6 - 66*a**2 + 81*a**2. Give 12*o(f) - 5*r(f).\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 4) to base 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 33\/128431, 0.03, 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 0*n - 3*n - 3 + (n + 3*n - 5*n)*(0 + 0 - 2) + 0*n + n + n + 4 - 4 - 2*n.\nAnswer: -n - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -0.135 (b) -0.012 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 j, and 1 h when three letters picked without replacement from {w: 2, h: 2, y: 7, z: 1, l: 1, j: 6}.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of -l**6\/240 + l**5\/40 - l**4\/2 + 2*l. Let u(t) be the third derivative of q(t). Differentiate u(i) with respect to i.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1874 rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -627 + -1373709?\nAnswer: -1374336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 2*n. Let y(w) = 9*w. Suppose -6*u + 30 = -u. Determine u*y(q) - 26*m(q).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 15*b - 2835 = -9*b - 2471 for b.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-6))\/((-1)\/(54\/(-180))).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 222 and 179598.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x + 3*x + x)*((0 - 1 + 0)*(2*x - 2*x - 2*x**2) + x**2 + 0*x**2 - 2*x**2 + (-2*x + x + 7*x)*(-3*x - x + 2*x)).\nAnswer: -22*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 - 4*a**2 - 10*a - 31. Does 26 divide t(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -2*t + 68 - 18, 5*i - 2*t = 190. Suppose -i = -4*o + 3468. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 4. Let p = -115 - -114. Which is the second biggest value? (a) n (b) 1.1 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 522 and 1392?\nAnswer: 4176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -12) + (10 - 10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -50*k**2 - 14*k**4 + 98*k**4 - 29*k**4 - 15*k**4 wrt k.\nAnswer: 960*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-4)*(0 + 6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/2*2\/(-2)*3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (3528\/(-1232)*-11)\/(3*3\/(-18))\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4061, 0, -1\/5?\nAnswer: 4061","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 23844 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.9 + -1. Suppose 2*s + 2*s = 5*j - 3, 0 = 3*j - 3*s. Let y be 1\/(-1*j\/15). What is the second smallest value in -0.3, y, p?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 381.5 + -208. Let t = x - 174.573. Let z = 0.073 + t. Which is bigger: z or 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 359371784 - 327968?\nAnswer: 359043816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.819633614 rounded to 5 decimal places?\nAnswer: 0.81963","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 847 and -26.63.\nAnswer: -22555.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 516025 divided by 24.\nAnswer: 516025\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -11*y + 59. Let h be o(6). Let r be (-116)\/(-36) + -3 - h\/9. Is r*2 + (9 - -480) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/1304 and -93\/10?\nAnswer: 6520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 633 - -199. Suppose i = 3*c + 280. What are the prime factors of c?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.32981 + -0.268329. Round k to two decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 15 (b) -1\/6 (c) -2\/3 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 4, v: 2, b: 1, j: 1, w: 11}. Give prob of sequence bwjw.\nAnswer: 55\/46512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -5*l**2 + 99*l - 123. Calculate the smallest common multiple of g(18) and -2 - (-3 - (0 - -2)).\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(-3))\/((-357)\/7378).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = -0 - 5 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -441*h + 1220*h - 648*h**2 - 1125 + 80*h**3 - 32*h**2 + 946*h = 0. What is h?\nAnswer: 1, 15\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1676365.04 to the nearest 10000.\nAnswer: -1680000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 3*h**3 - 2*h**2 + h - 2. Let n be c(2). Suppose t + n = 3*t. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 - -6.2. Let r = c - -3.2. Let k = r + -2.39989. What is k rounded to 4 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1520, 5, 1 in ascending order.\nAnswer: 0, 1, 5, 1520","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n - 1. Let f be r(5). Suppose -f*y = 6 - 14. Suppose -y*c = -3*c + 33. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/1420 and -37\/74446340.\nAnswer: 74446340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 238713 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: Which is the nearest to -8? (a) 2.79 (b) 2 (c) -13208\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*8\/660 - (1 - 1). Let g = 1674703\/9402360 - 292\/7123. Let d = g - w. Find the common denominator of d and 11\/30.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6602, 6651, 6722, 6809, 6906, 7007, 7106?\nAnswer: 7197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 154 = 2*a, 6*a = -5*j + 11*a + 205. Suppose -2*k + j = -666. Is k a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**2 + 1 - 1)*(36 + 43 - 88 - 9*g**2).\nAnswer: 18*g**4 + 18*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1482964*g**3*u**3 + 14*g**2*u**3 + 4729*g*u**3 wrt g.\nAnswer: -8897784*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 38*p = 172 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -9*v - 6*v + 7*v - 14*v. Let d(c) = 0 + 1 - c + 3*c - 3*c. Let m(k) = -4*k + 3. Let p(u) = -3*d(u) + m(u). Calculate p(z(i)).\nAnswer: 22*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 280769625 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5717177 to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -20716, -82891, -186518, -331597, -518128, -746111, -1015546?\n\"Answer: -20726*t**2 + 3*t + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + 1 + (-2 - 1). Suppose 2*d - 1 + 4 = f, -38 = -2*f - 4*d. Suppose -2*s = -5*r - 23, 5*r + f = s - 13. What is the closest to 1\/4 in 5, b, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 28\/(-16) + (-1)\/4. Let x(h) = -3*h**2 - 2*h + 11. Let q(r) = 4*r**2 + r - 18. Let p(j) = -2*q(j) - 3*x(j). What is p(u)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217191048 to the power of 1\/2, to the nearest integer?\nAnswer: 14737","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-7)\/7)\/(9\/4) and 4\/(-8)*(-106)\/(-11).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4374480305 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: Evaluate 3\/5*88\/(-24)*375\/(-25).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -141*y**5 + 9*y**4 + 112*y**2 + 6*y - 46436 wrt y.\nAnswer: -2820*y**3 + 108*y**2 + 224","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -125\/3378 and -34\/26117007.\nAnswer: 52234014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 96.34537 millilitres?\nAnswer: 0.09634537","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0536 less than -4.63997?\nAnswer: -4.58637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, -4, 30, -29, -1, -6, -3 in decreasing order.\nAnswer: 30, -1, -3, -4, -6, -29, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 5) in base 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -3*j - 3, 5*j + 24 - 20 = -4*x. What is the third biggest value in -2\/7, -31\/4, j?\nAnswer: -31\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0323 rounded to three decimal places?\nAnswer: -0.032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -5449, -22678, -51391, -91588, -143269?\n\"Answer: -5742*d**2 - 3*d + 296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 156527\/69 at least 2270?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 16) in base 9?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.2 - 0.17. Let w = -19 + 18.93. Let n = w - h. What is the closest to 1 in -2\/3, n, -2\/11?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1315 - 655. What is the third biggest value in -0.1, 5, u?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -1. Let b = 209.7 - 224. Let r = b + 9.3. What is the third biggest value in 1\/5, -4, t, r?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**2 - 177054*l - 885345.\nAnswer: 3*(l - 59023)*(l + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26122145*f**2 + 26122177*f**2 - 52244380*f**2.\nAnswer: -58*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -3*k**2 - 42*k - 138. Give p(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/4 and -68\/303.\nAnswer: 1212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence euf when three letters picked without replacement from ufupuudue.\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15725 and 66674?\nAnswer: 629","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*j - 9 + 9)*(j + 0*j + 2*j)*(-6*j - 3*j + 5*j).\nAnswer: 192*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 39462?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -6*b - 8. Suppose -5*p + 3 = -2. Suppose -10 = 2*a - 0, 8 = 3*h - a. Let n(j) = -3 + j - 3*j + p - h. What is 3*k(u) - 8*n(u)?\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 - 3*j + 6. Let p(u) = 2*u - 5. Give 2*c(i) + 3*p(i).\nAnswer: -2*i**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 593460 a multiple of 140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 14409 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 6:58 AM?\nAnswer: 5:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15846\/171)\/(-139)*2\/50*3.\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 456.823 + -0.823. Let p = n - 456.00517. Round p to 3 dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -22*a. Let d(k) = 7*k - 1. Let q(l) = -3*d(l) - j(l). Determine q(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (34 - 32)*1*27\/(-12) - -5. Let h(p) be the second derivative of -w*p**3 + 1\/12*p**4 + 11*p + 1\/2*p**2 + 0. Give h(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*y - 2*y + 4*y + (4 - 4 - 2*y)*(-22 - 38 + 2) in the form j*y + q and give j.\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of 0 + 0*j**2 + 0*j**4 - 2\/3*j**3 + 3\/20*j**5 - 3*j. Find the second derivative of l(x) wrt x.\nAnswer: 18*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l**5 - 312*l**4 + 22328*l**3 - 21706*l**2 - 22329*l + 22018 = 0. What is l?\nAnswer: -1, 1, 109, 202","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is cc3f2 + b?\nAnswer: cc3fd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2498.1 + 2497.1. Let d = -121 - -85. What is the nearest to q in 3\/4, -0.2, d?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 4 = 2*u, 8823*u + 4*t = 4408*u + 4411*u - 28 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8260\/2655*(-2)\/(-14). Suppose 32\/9*n - 16\/3*n**2 - k*n**4 + 8\/3*n**3 + 0 = 0. What is n?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(270)*4)\/(sqrt(10) + sqrt(20)\/sqrt(2)*-3).\nAnswer: -6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3\/9 + 5681*u**2\/9 - 519301*u\/9 + 513619\/9.\nAnswer: (u - 89)*(u - 1)*(u + 5771)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -68*l**2 + 5*l - 67. Let d(x) = -95*x**2 + 16*x - 85*x**2 - 202 - 24*x**2. Let i(p) = -5*d(p) + 16*q(p). Find the first derivative of i(j) wrt j.\nAnswer: -136*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 56 in -2\/13, -5, 2\/13, -0.9, 6\/5, -0.5?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -320201 - -3?\nAnswer: -320132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -957.7 - -958. Let q(m) = -m**3 + 5*m**2 - 5*m + 5. Let u be q(4). Put -3\/4, u, t, -2 in increasing order.\nAnswer: -2, -3\/4, t, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/18 and 7\/96?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19880 and 827960.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2.3 (b) -2 (c) -48 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 = -4*y + 4*p, 0 = -14*y + 17*y + 2*p - 4 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 + 9\/(-3) + 3. Suppose 0 = n*r - 5*r + 6. Which is the nearest to 2\/7? (a) -5 (b) r (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16860 - -72. What are the prime factors of l?\nAnswer: 2, 3, 17, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 61 + (-11 - -7) + -20 - (-1 + -13)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - z - 23940002, 13*z - 10*z = -p + 7979994. Suppose 6*m - 13*m = -p. Round m to the nearest 100000.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2304966 = -252*a + 8898. What is the thousands digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l*l\/l**(-23))*l)\/(l**7\/l)*l\/((l*(l\/(l*l**28*l)*l)\/l*l)\/l)*l*l\/(l\/((l*l*l*l**(2\/9)\/l)\/l)*l))**(-12\/13) assuming l is positive.\nAnswer: l**(-44\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -19*w + 134. Solve -19 = 3*h + 5*r, -3*h + 11 = -w*h + 2*r for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**4 + 93924*y**3 - 1095553394*y**2 - 168155142768*y - 6410577340448.\nAnswer: -2*(y - 23557)**2*(y + 76)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 + 3*w**2 + 3*w - 1. Let q(d) = -7*d. Let h be q(1). Let i(y) = -9*y - 3. Let o be i(h). Let l be o\/14 + (-2)\/7. Give p(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83497*w**3 - 3*w - 9*w + 83498*w**3.\nAnswer: w**3 - 12*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 231063.9844313 - -50?\nAnswer: 231113.9844313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 36\/(-14)*(0 - -7). Let c be -2*(l\/4 + 3). Suppose -t + 5*s = -3*t + 177, 179 = 2*t + c*s. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from acl. Give prob of sequence alc.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.6? (a) 0.4 (b) 4\/7 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1227, 10, 0.06, 2, 16, 3\/4, 1 in descending order.\nAnswer: 16, 10, 2, 1, 3\/4, 0.06, -1227","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -4959 (b) -4 (c) 5 (d) 1 (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.975194645 + 3.9751. Round q to 6 dps.\nAnswer: -0.000095","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 320 and 10304.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1813 - 9779 = -180*f + 663*f for f.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/7*(9 + 12\/(-30)*5). Solve 5*r + 26 - g = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -3*g - 3*t, 0 = g - 4*g + t - 25. Let o be g\/(-12) + 9336\/9. Find the third derivative of 23*l**2 + 27*l**3 + 1038 - o wrt l.\nAnswer: 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.2714771 millimeters?\nAnswer: 271477.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*g - 3*g + 0*g + (4 + 49 + 43)*(-2*g - 2*g + 5*g) - 2*g + 6*g - g + 2*g + 0*g + 2*g + 3*g.\nAnswer: 107*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 34\/73143 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-96)\/64)\/(6*(-13)\/(-8)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 AM and 5:41 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 2*h**2 - 7 + 4*h**2 - 10*h + h**3 + 0*h**2. Suppose -c + 45 = 19. Calculate the remainder when c is divided by p(-7).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 s when two letters picked without replacement from {x: 1, j: 1, u: 2, s: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1558 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w**34\/w*w)*w**(-15)\/w*w**(3\/10)\/(w\/w**(-13)))**0 assuming w is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/9? (a) -2\/87479 (b) 0 (c) -9 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 1200 = -6*j. What is the greatest common divisor of j and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 57 - 71 - (21 + (-8 - -7))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of -49\/24*f**4 + f - 17*f**2 + 0 - 125\/6*f**3. Differentiate j(c) with respect to c.\nAnswer: -49","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 15339124 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 9*h - 50. Let c be n(6). Let l(j) = -j**3 + j**2 + 3. Let t be l(2). Sort t, -4, c, -2.\nAnswer: -4, -2, t, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -592.6 - -593. Which is the fifth biggest value? (a) -5 (b) -0.3 (c) w (d) 17 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 15, 5, 0.97?\nAnswer: 0.97","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to -1\/676?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 3101*r - 33868. Determine a(11).\nAnswer: 243","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of -c**4\/4 + 7*c**3\/3 - 10*c - 1. Calculate g(7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -208 - 196 + 399 - 108*u + (-4 + 0 + 2)*(-u - u + 3*u) to j*u + s and give j.\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in twenty-one halves of a week?\nAnswer: 1764","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 44 = -8. Solve -h + 3*i = 2, -5*i + 3*i = 3*h + w for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 247.56 to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.942 to 2 dps.\nAnswer: -0.94","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.42 - -1.42. What is the nearest to 0.1 in c, 3, -28?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -107044348*j**4 - 227159512*j**2 wrt j.\nAnswer: -2569064352*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0 (b) -12 (c) 12\/17 (d) -23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*v = 6*v - 95 + 319 for v.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - 0. Suppose -r*d = d - 64. Suppose 4*t = -2*w - t + 44, -3*t = -5*w + 48. What is the least common multiple of w and d?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 4 - 1)*(-207 - 59*n + 207)*(4 + 0 - 3) to t + s*n and give s.\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from eexvvllsvellvxexg?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gz when two letters picked without replacement from gfofczgcccqcg?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -86 - y + 59 - 2*y + 46 to the form z*y + b and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 572 divide 1572428?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 11*p + 5. Let u(b) = 2. Calculate -r(i) + 4*u(i).\nAnswer: -11*i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 5, z: 7}. What is prob of picking 2 f and 2 z?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26915, -53831, -80747, -107663, -134579?\nAnswer: -161495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a century in decades?\nAnswer: 68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of j**4\/16 - 5*j**3\/12 + 3*j**2\/8 + 9*j\/4 - 22. Find q, given that t(q) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of r**3\/6 - r**2\/2 - 2*r. Let o = 16 + -15. What is u(o)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, n: 1, m: 1, w: 1, k: 2}. Give prob of picking 1 w, 2 d, and 1 m.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14*m - 923*m**5 - 917*m**5 + 2768*m**5 - 928*m**5 + 5912*m**6 - 18*m**2 wrt m?\nAnswer: 709440*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ar when two letters picked without replacement from vward?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 563966995?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 157, 307, 457, 607, 757, 907?\n\"Answer: 150*z + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/((-90)\/(-35)))\/((-1)\/3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2111233332 (base 4) in base 12?\nAnswer: 256b66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2\/37 + 31\/111. Suppose -35 + 5 = -5*c. Let a be 15\/36*c\/(-20). What is the closest to 1 in s, a, 0.13?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 230320032 (base 4) in base 14?\nAnswer: 4adc2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12)\/70*(-112)\/(-48). Let r = -17 + 12. What is the biggest value in u, 2\/3, r?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 47*b**2 + 4*b + 4. Let s(m) = 47*m**2 + 3*m + 3. Determine -3*n(d) + 4*s(d).\nAnswer: 47*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (105\/4 - ((-266)\/8 + 33))\/(2\/4)?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-3) + -1*(-2)\/3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) 17522 (b) 66 (c) 7 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 - (-20 - (-34 + 32))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -177*p**3 - 33*p**2 - 33*p. Let g(z) = -22*z**3 - 4*z**2 - 4*z. What is -33*g(b) + 4*q(b)?\nAnswer: 18*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/6138 and 109\/528?\nAnswer: 49104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 878, 889, 906, 929?\nAnswer: 958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -36*d**3 + 2*d - 1. Let m be r(1). Let i = 60 + m. Calculate the smallest common multiple of 2 and i.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4376*7*(-1)\/(-2). Let v be d\/13 + 3 - (-8)\/(-52). Let g = -252 + v. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4493377 + 464?\nAnswer: 4493841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2 + r + 1. Let j(t) = 3*t**2 - 4*t - 4. Let h be ((-2)\/4)\/((-13)\/26). Let k(a) = h*j(a) + 4*z(a). Let i(f) = -6*f**2. Calculate k(i(o)).\nAnswer: -36*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 7923?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 3 = -k, 2*k - 244*y + 247*y = 8 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-369)\/(-1476)*28\/(-3)*(-720)\/(-70).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 152\/(-266)*(-14)\/(-4)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 230819 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 1:26 PM?\nAnswer: 12:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -24951426*c - 26623386 wrt c?\nAnswer: -24951426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4578 divided by 3?\nAnswer: -1526","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of s**5 + 65898*s**2 + 129284*s?\nAnswer: 20*s**3 + 131796","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 94 = 2*i. Suppose -44*h = -i*h + 44. Does 11 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 4 + 8. Solve 4*f = 2 + s for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - w + 39 = f, -20 = 4*f. Let u = 82 + w. What is the remainder when u is divided by 42\/5 - 4\/10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 1:00 PM?\nAnswer: 1:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64 - 371*x**2 - 213*x**2 - 218*x**2 + 3*x + 799*x**2 - 3*x.\nAnswer: -3*x**2 + 64","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-33462)\/(-8) - 498\/664?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 h when three letters picked without replacement from {b: 6, n: 1, u: 2, h: 5, r: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 47*z**6 - 59*z**6 - 26*z**6 - 6*z**2 wrt z.\nAnswer: -4560*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2816*l**4 + 12358*l wrt l.\nAnswer: 33792*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49036 is divided by 327?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 2*k - 3 = -7, -33 = -5*q + 3*k. Suppose 7*i - 9 = q*i. Solve 4*g + 7 + i = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -527 times 0.4?\nAnswer: -210.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35328.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*p - 8573*p**3 - 1339 - 874 + 2*p + 7803*p**3 wrt p.\nAnswer: -2310*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.04 and -1556.751816.\nAnswer: -1556.711816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 - 5*j**2 - 7*j - 9. Let n be x(-4). Solve 3*d + 7 = -4*s, -3*s - 15 = -n for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/8*y**4 + 27\/8*y**3 + 33\/8*y + 0 - 63\/8*y**2.\nAnswer: 3*y*(y - 1)**2*(y + 11)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (50 + -40 - 24) + (37 - -2)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-44)\/11*((-49)\/(-7))\/28?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -31 - -34. Let f = 14522\/63 + -1612\/7. What is the closest to 2\/7 in 11, f, q?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35313225 (base 6) in base 7?\nAnswer: -12223322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 AM and 5:44 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/(-6) - (-10)\/7. Let u(f) be the first derivative of -1\/21*f**6 - 1 + v*f**3 + 0*f + 6\/35*f**5 + 0*f**2 - 3\/14*f**4. Find y such that u(y) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88*w + 208 = -84*w. Let d = 42 - w. Let n be (6\/d)\/(21\/(-70)). Sort n, 1, -4, -1.\nAnswer: -4, -1, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1320.9 + 1321. Let d = 0.011 + -23.011. Let l = -21 - d. Which is the nearest to -1? (a) w (b) l (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -43 * -136\nAnswer: 5848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.65 + 114.65. Let n = 114 - t. Let k = 13 - 8. Which is the biggest value? (a) k (b) n (c) 0.3 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 25 - 24?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000094 rounded to 4 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(204)*-5)\/(sqrt(588) - 2*sqrt(588)))**2.\nAnswer: 425\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*y + 4*y - 2*y - y as i + u*y and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 228 divided by -2.\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/2? (a) 0.53 (b) -63\/23 (c) 0.4 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*n - 18*n + 24 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2835, 5743, 8651, 11559, 14467?\nAnswer: 17375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -7079185 (base 10) to base 14\nAnswer: -d23c41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2167641 is divided by 1224?\nAnswer: 1161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6346\/27457 or 1?\nAnswer: -6346\/27457","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 702885, -4, 1, -3 in increasing order.\nAnswer: -4, -3, -2, 1, 702885","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 88466079 to the power of 1\/2, to the nearest integer?\nAnswer: 9406","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zhbbzbzzbzzbbbzhzzb. Give prob of sequence bh.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 + f + 3. Let x be q(3). Is x + 5 + (-663)\/(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 3*i + 8 = 23, 3*m + i = -5. Suppose 3*l - 36 - 24 = m. Solve -4*c = -l, 3*s + s + 13 = 5*c for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6 - 12d?\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, -309, 3\/44?\nAnswer: -309","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of v**4\/12 - 14*v. Suppose -3*u - 2 = -14. Let b(q) = 3 - 3 + u*q**2. What is m(b(w))?\nAnswer: 16*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -25 - -30. Suppose m*y - 150 = -y. What is the remainder when 85 is divided by y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 608 - 935. Let q = x - -327. Which is the nearest to 1? (a) 0.06 (b) -0.3 (c) q (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -321*q**4\/7 + 10461*q**3\/7 - 77499*q**2\/7 - 126429*q\/7 - 38148\/7 = 0.\nAnswer: -1, -44\/107, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - -6 - (0 + -9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 6) + (19 - 18).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 3*b + 6315117 = -12663717, 31631390 = 5*m + 5*b. Let n = -13326278 + m. What is n rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 31*c**4 + 3*c**2 + 3*c. Let g(q) = -q**6 - 94*q**4 - 8*q**2 - 10*q. Let s(m) = 2*g(m) + 7*j(m). Find the third derivative of s(u) wrt u.\nAnswer: -240*u**3 + 696*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 8*q - 5*q + 17 = -144, -3*d + 315 = -6*q for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -26436*l + 26718*l - 11562 for l.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -157\/132 and 131\/855576.\nAnswer: 9411336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 AM and 8:35 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3541303 (base 6) in base 11?\nAnswer: 11656a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 1 - 4. Suppose 3 + 2 = 2*v - l, 4*l - 1 = v. Suppose -v*g + 28 = -5*j, j - g + 4*g + 2 = 0. Sort 1, j, b in descending order.\nAnswer: 1, b, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 53*t**2 + 4. Let g(u) = -89526175*u - u**2 + 1 + 89526175*u - 1. Calculate r(g(o)).\nAnswer: 53*o**4 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 3*u + 8 = u, 4*a + 3*u - 21 = 0. Let r(f) = -2*f + a + 0*f**2 - 2*f**2 + 4*f**2 - f**2. What are the prime factors of r(5)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 h, and 2 y when four letters picked without replacement from {h: 1, n: 1, k: 2, y: 2, a: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(567) + -1 + sqrt(567) + 1) + (sqrt(567) + 3 + 3)*2)*3)**2.\nAnswer: -19440*sqrt(7) + 511596","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 24\/23 and -37\/117323?\nAnswer: 117323","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1215 = -z - f + 1201, -6*z + 2*f - 144 = -4*f for z.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j**2\/j))\/j)\/(j\/(j\/(j\/(((j*j\/(j*j**(-1\/3)))\/j)\/j))*j)*j)*(j*j*j**6)\/j**2*(j*j*j**(-2\/3)*j)**(-40)*j**4\/j**(-2) assuming j is positive.\nAnswer: j**(-84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 36*i**5 - 77*i + 10*i - 46 + 47 wrt i?\nAnswer: 720*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -39, 3.8, 8 in decreasing order.\nAnswer: 8, 3.8, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 divided by -1314084?\nAnswer: 5\/438028","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4567, -9100, -13623, -18124, -22591, -27012?\nAnswer: -31375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4276 and 53.5.\nAnswer: -228766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -354*a**4 + 157*a**3 + a**2 - 10*a - 2967 wrt a?\nAnswer: -4248*a**2 + 942*a + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 506, 995, 1484?\nAnswer: 1973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-1\/8)*(j\/(j\/j**(5\/4)))\/j*(j*j**(-48)*j)\/j**(1\/2) assuming j is positive.\nAnswer: j**(-371\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add 4.99 and 243.\nAnswer: 247.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**20\/c*c)\/c)\/(c\/(c**(1\/25)\/c)))\/(c**(6\/17)*c*c\/(c*c**(-12))*c*c*c) assuming c is positive.\nAnswer: c**(717\/425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5312, -5, -19 in decreasing order.\nAnswer: -5, -19, -5312","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*f - 16*f - 2*f + (2 - 5 + 2)*(f + 0*f + 0*f) + f + 0*f - 2*f)*(7*f + 7*f - 7*f) to the form c + h*f + i*f**2 and give i.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 238 and 11.\nAnswer: 2618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -13*v - 190. Calculate the smallest common multiple of 42 and j(-16).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 76457 by 1.\nAnswer: 76457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n = 5*o - 4*n - 5, 0 = 4*o - n + 21. Sort 7, o, 3 in descending order.\nAnswer: 7, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 454132650 a multiple of 1747?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 111*f - 135. Let c(g) = 51*g - 2. What is 2*c(n) - o(n)?\nAnswer: -9*n + 131","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 4, -33288, -24?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3590, 2, -26, 8 in descending order.\nAnswer: 8, 2, -26, -3590","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(3\/29))\/s)**47*s**(-6)*s**(-2\/29) assuming s is positive.\nAnswer: s**(-35\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 32 - 30. What is the second smallest value in p, -1, 0.4, 5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 2:22 AM?\nAnswer: 2:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 4*u + 16. Let h(s) = -2*s**2. Give h(r(x)).\nAnswer: -32*x**2 - 256*x - 512","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + 0.8. Let i = 4\/7 - 13\/35. What is the biggest value in 1\/8, i, b?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 + 8*p**2 - 10*p + 9. Let n be v(-9). Let u be (-3)\/(-18) - (-3)\/n. Let g = 0.27 + -0.07. Which is the third smallest value? (a) g (b) u (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, 0.042, 0.4, -4\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - k - 26 = 0, 3*u + 2*k + 2*k - 34 = 0. Solve -u*i + i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 16*i**3 + 7*i - 6. Let j(t) = -11*t**3 - 5*t + 4. What is -7*j(l) - 5*v(l)?\nAnswer: -3*l**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3459789 to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5956 (base 13) to base 12.\nAnswer: -7341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 0, 26, 98, 240, 476?\n\"Answer: 4*a**3 - a**2 + a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12411332 + 3?\nAnswer: 12411335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of m**7\/210 - 11*m**6\/120 + 13*m**5\/20 - 15*m**4\/8 - 3*m**2 + 208. Solve z(v) = 0.\nAnswer: 0, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 307?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 31*t**2 + 3*t**2 - 58*t + 27*t**2 - 50*t**2 - 47*t in the form m*t + s + c*t**2 and give m.\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 + 4)*(5*k + 6*k - 2*k)*(3 - 3 + 5).\nAnswer: 360*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**4 + 0*w**4 + 0*w**4)*(-3*w + w + 3*w) + 3*w**5 - 3*w**5 - 2*w**5 + (-w**4 + w**4 - 5*w**4)*(2*w + 2*w - 3*w) - 1 - w**5 + 1 - 4*w**5 + w**5 + w**5.\nAnswer: -9*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 - 24*x**2 + 30*x - 93. What is q(23)?\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 6 = -2*r + 3*k, 21 = 5*r + k. Let c be (-20)\/(2 + 0 + -3). Suppose -q = -4*q + 12. Solve 0*u = q*u + x + 16, r*u - 5*x = -c for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of a**4\/18 - 2*a**3\/3 - a**2\/9 + 2*a - 278. Let g(o) = 0. What is o?\nAnswer: -1, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (-9 - -33) + -7 + (0 - 2)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -67, 850, 3.\nAnswer: -67, 3, 5, 850","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -2*o + 11, -m = 2*o + o - 42. Let k(x) = 3*x - 4. Let f be k(3). Suppose 88 = f*v - 37. What is the remainder when v is divided by o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6164947 to the power of 1\/3, to the nearest integer?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -81 - -59.5. Let s = -22 - t. Let z = -2\/3 + 1\/6. Which is the closest to z? (a) -3\/4 (b) s (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -933 * -0.04221.\nAnswer: 39.38193","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -121021333102 (base 4) to base 16.\nAnswer: -649fd2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(50)*6)\/(sqrt(720)*1))\/(-5*5*(sqrt(720) + (-2*sqrt(720) - sqrt(720)) + sqrt(720) - sqrt(720) - sqrt(720))).\nAnswer: -sqrt(2)\/1800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + h = -3*h - 22, -44 = -4*i + 2*h. Solve 2*t + 4*z = -4 - 6, z = 4*t + i for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = -4*n + 20 + 12, 5*q = 5*n for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.18, 4, 7\/3 in decreasing order.\nAnswer: 4, 7\/3, 1.18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 3)*(2 + 3 - 3)*(2*m - 3*m + 4*m)*(-1 + 3 + 1).\nAnswer: -36*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 28 + -42. Suppose 3*u = 4*d + 3, -14 = -3*d - 3*u + 10. Suppose -10 = -d*z + z. Which is the biggest value? (a) 1\/4 (b) j (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + -3.6. Let t be (-8)\/10 - 2\/(-5). Let g = -56.48 - -52.48. What is the third biggest value in g, t, n?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 856 = -o. Does 12 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -44*(-78)\/104*(29 + (0 - -2)). What is the highest common factor of 15686 and x?\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 55644.66 grams?\nAnswer: 55.64466","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 + 2*y**2 - 1. Let u(s) = 4*s**3 - 6*s**2 - s + 2. Let m(v) = -3*b(v) - u(v). Let z(h) = 2*h**3 - h - 7. Determine -m(d) - z(d).\nAnswer: -d**3 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 37.87669 + -6.\nAnswer: 31.87669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is nine sixteenths of a centimeter in micrometers?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5.6 + 5. Let l = v - -0.5. Which is the nearest to l? (a) 2 (b) 0.5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18525 - 18525. Find r, given that 0*r**3 + 0*r**2 + 5\/2*r**5 + v - 1\/2*r**4 + 0*r = 0.\nAnswer: 0, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -4*v - 3*m - 2, -3*m = 2*v + 1. Let b be v*(-5)\/6*-3. Suppose -18 = 5*f - 3. Put b, -2, f in increasing order.\nAnswer: b, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a tonne in kilograms?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - 10) + (37 - 7 - (7 - 4)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 33*x**2 + 3*x + 2. Let b be ((-5 - -2) + 5)\/(-2). List the prime factors of h(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 1\/3, 10, -1, -0.3.\nAnswer: -1, -0.4, -0.3, 1\/3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -58, -502, -1710, -4066, -7954?\nAnswer: -13758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.1 (b) 293 (c) 0.83\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -124 or 5681?\nAnswer: -124","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -82 - -81.877. Let k = 0.089 + h. Let l = -0.156 - k. What is l rounded to 2 decimal places?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, s: 2, v: 6}. What is prob of sequence srvr?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 322253065 - 2?\nAnswer: 322253063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -2*n**2 - 329*n + 12314. Determine x(-196).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 216345 to the nearest integer?\nAnswer: 465","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 - 2*v**2 - 2*v - 1. Is r(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/(-50)*(7*2\/(-903))\/(2\/6)?\nAnswer: 1\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -423, -461, -499, -537, -575, -613?\n\"Answer: -38*b - 385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s\/(s*s**(-2\/13)))\/s*s**5)\/(s\/(s*s\/s**(-2\/9))*s*s**(-1\/2)))\/((s**0*s**4*s)\/(s*s**1\/s*s)**43) assuming s is positive.\nAnswer: s**(20329\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (5 - (2 + 5) - (-130)\/(-35))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 100 = 10*a. Let f = a + -18. What is the units digit of -16*1*(-1)\/f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.5 and -5479037.\nAnswer: -5479037.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19321550, -19321551, -19321552, -19321553?\nAnswer: -19321554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -40a61 (base 14) in base 12?\nAnswer: -76139","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 75081?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 5605, 5083, 4561, 4039?\n\"Answer: -522*o + 6127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 224.9867241 rounded to one dp?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 AM and 7:47 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3864.3 + 3544. Round g to the nearest 10.\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*p - 3*p + 3*p)*(25*p**2 + 3 - 24*p**2 + 7) as n*p**3 + d*p + b + w*p**2 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -13 + (-44)\/24*-12. Solve 35*v = 44*v + h for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 120 + -90. Let v = 68 - 23. Calculate the greatest common divisor of s and v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -2*s**2 + 7*s - 4. Suppose 5*z = 5*t + 48 - 53, t - 3*z = 9. Let p(r) = -r + 1. Determine t*p(b) - q(b).\nAnswer: 2*b**2 - 4*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2579.\nAnswer: 2579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -116857*l**3*w**2 + 13*l**2*w - 4120*w**2 wrt l?\nAnswer: -701142*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 5*p + 577 - 531 = 0, p = -2*a - 14 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-14)\/(-28)*(-102)\/4*-44. Suppose 7*d = -10*d + l. Calculate the highest common factor of d and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*w + 116 + 4 = 19*w + 61*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.7 - -0.7. Suppose -3*c = -g + 11, -2*c + c - 27 = -5*g. What is the closest to c in w, 5, 3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.149 * 1.4701\nAnswer: 1.6891449","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.918 and -19.\nAnswer: -18.082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.34 + -0.06. Let q = -3 + 5. Which is the closest to 1? (a) q (b) -1\/6 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(2\/(-12)*-2). Let j = -18 + 33. Let g = j + -10. Solve -g*t - 2 = 2*u - 10*t, -22 = -4*u - l*t for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -21377*o - 7. Let i(x) = 636*x. Determine w(i(s)).\nAnswer: -13595772*s - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -44 times 7.4466\nAnswer: -327.6504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 42 - 17, 0 = -r - 5*m + 66. What is the remainder when 122 is divided by r?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -1.8 (b) -5 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of g**8\/168 + g**7\/35 - g**6\/5 - 26*g**5\/15 - 4*g**4 + 401*g**2 + 1. Let s(h) = 0. What is h?\nAnswer: -3, -2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of -j**7\/2520 + j**6\/720 + j**5\/60 - 4*j**4\/3 - 16*j. Let u(s) be the third derivative of a(s). What is u(3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -435\nAnswer: 1\/435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 553806383?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 2*k**2 + 4*k + 31. Let c be j(22). Suppose -5*i + 4*u + 1081 = 2*u, 5*i = -u + c. Is i a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g and 1 m when four letters picked without replacement from wwmmwggjgqw.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101202 + 1220110201?\nAnswer: 1220001222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60 + 60 - 5*c**2.\nAnswer: -5*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24 - 4. Let p be -50*-2*1\/(-2)*-1. Calculate the highest common factor of z and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 - 245*h - 2766. What is k(-11)?\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-10)\/6)\/(-5 - (-84)\/18). What is the greatest common divisor of 85 and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvmmaqvvmmmmmqvvavm. Give prob of picking 1 q and 1 m.\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + 6*c**3 + c)*(38 - 32*c - 38)*(-3 + 4 + 0).\nAnswer: -192*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 - 14 = 4*r + 14 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - j - 7, 0 = 4*p + 2*j - 16. Suppose -3*x - p*a = -8*x + 295, 2*a + 10 = 0. Suppose -x = -2*v + 26. Does 18 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6143962 is divided by 2516.\nAnswer: 2406","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 + 8*g**2 - 5*g - 4. Let u(l) = -l**3 - 9*l**2 + 6*l + 5. What is 5*u(b) + 6*z(b)?\nAnswer: b**3 + 3*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -7.5, 0.004, 0, -187\/4?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 35857066 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 13 (b) -0.3 (c) 2\/9 (d) -16\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-7)\/21 - 165\/(-9). Let d be (22 - i) + 231\/(-58). Is 1 < d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 543 - 1113. Let c = b - -875. Calculate the remainder when c is divided by 62.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10\/15*1515\/10.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -4*x + 4*x - 10*x**2. Suppose 0 = 13*p + 12*p - 50. Let n(f) = 19115 - 19115 - 4*f**p. What is s(n(j))?\nAnswer: -160*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 29413?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -75112*f**4 + 4*f**3 - 33225*f**2 wrt f.\nAnswer: -1802688*f + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 54670, 55112, 55546, 55972, 56390, 56800, 57202?\n\"Answer: -4*m**2 + 454*m + 54220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2\/659 + 13843\/1318. What is a in f*a**3 + 51\/2*a - 51\/2*a**2 - 9 - 3\/2*a**4 = 0?\nAnswer: 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -5*(-2)\/14 - 1. Let s(u) = -u. Let p be s(-8). Suppose -4*t + 4 = -p*t. Which is the nearest to x? (a) 4 (b) t (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 104\/27 + -574\/135. What is the common denominator of 19\/28 and d?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -66.3 rounded to the nearest integer?\nAnswer: -66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -140 (base 11) to base 16.\nAnswer: -a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 447651128 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: Let p = 0.2 + -0.3. What is the nearest to -2\/7 in 0.5, p, 0.3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-14 - 13) - 12 - 48?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4, e: 1, w: 2, t: 2, r: 5, c: 1}. What is prob of sequence erw?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 + 9*c. Suppose 3*y - 27 = -0. Determine i(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -5 (c) 1\/2 (d) -10 (e) 110 (f) -13 (g) -5\/342\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of -5*u**2 + 2. Let i(d) = 2*d + 573646 - 573646. Give a(i(s)).\nAnswer: -20*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 282786 is divided by 14859.\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 46*c**2 - 3 + 4 - 41*c - 2 - 52*c**2. Let p(j) = -11*j**2 - 81*j - 2. Let t(q) = 13*h(q) - 6*p(q). Find the second derivative of t(w) wrt w.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 376305590 is divided by 51?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 37\/(-52) + ((-20)\/30)\/((-32)\/12)\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -229 + 237. Suppose -3*s - 5*m = -30, -4*s + 9*m - 5*m + b = 0. Suppose -5*r = z - 0*z - 23, -5*z + 67 = r. Solve s*p = 3 - z for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 25537114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 s when three letters picked without replacement from jglglgalagljsggj.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: cc (base 16) to base 8\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -1 + 2 - 1 + 3*o. Suppose 2*z = 3*b - 2*b - 8, 3*b = z + 9. Let f(h) = b*h - 7*h + 6*h - 3*h. Determine q(f(p)).\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j**3\/9 - 13930*j**2\/9 + 982450*j\/9 - 5745250\/3 = 0 for j.\nAnswer: -7035, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 556*o**3 + 2*o**2 - 8*o + 5. Let k(x) = 742*x**3 + 3*x**2 - 11*x + 5. Determine -8*k(r) + 11*m(r).\nAnswer: 180*r**3 - 2*r**2 + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1095 and 55?\nAnswer: 12045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5884710 and 9740?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + 8. Let f = 12 + -15. What is the second biggest value in 0.3, f, y?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77326 is divided by 53?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 2 = b, -b + 2 = 3*z - 1. Let l = z - -5. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -48*u**2. Let r(o) = o - 2. Suppose -3*m - 3*v + 3 = 0, -m - 3*v = -5*m - 10. Let n(d) = -d + 1. Let i(b) = m*r(b) - 2*n(b). What is c(i(w))?\nAnswer: -48*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 1987492?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9140*i**3 + 366*i + 764*i + 365*i - 9136*i**3 - 1495*i.\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 514 + -511. Solve -h*p + 6 = -12 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 5 = 3*n + 2, -4*n = w. Let s = w - -24. Let z(d) = s*d + d + 2*d + 5*d. Let v(a) = a**2. Give v(z(x)).\nAnswer: 1296*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - a - 120, 2*j = j + 4*a + 30. Suppose -3*o - 3*o = -j. Calculate the highest common factor of o and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 109816?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) -0.1 (c) 3 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 3*p**2 - 4*p + 20. Determine s(6).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**15)**(6\/7))**(-2\/61) assuming y is positive.\nAnswer: y**(24\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1399 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 25 - 17. Which is the closest to 0.2? (a) 3 (b) 0 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 704*z**4 - 526 wrt z.\nAnswer: 2816*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14482*b - 3*b**2 + 14482*b.\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -343*c + 546 - 30730 for c.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1073 and 8576933?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 2*g + 70. Let q be b(-29). Solve 5*u + q = 2*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -7*s + 70. Suppose -14*a = -s*a + 248. Calculate the remainder when a is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -122304 - -12?\nAnswer: -122252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-9)\/(1\/(5 - 224\/6))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -46443304 - -56?\nAnswer: -46443226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68.73712 centuries to decades.\nAnswer: 687.3712","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*t = 9*t + 20. What is the closest to -0.1 in -1\/2, t, 1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -693\/50 + 11654\/775. Calculate the common denominator of 49\/124 and b.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 + 12*p**2 - 16*p + 17. List the prime factors of w(9).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 4*y - 28, -6*y = -y + 3*x - 42. Solve -y*l = -2*u - 3*l - 6, -3*l + 6 = -3*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24 - 7*g + 10*g + 4*g - 2*g.\nAnswer: 5*g + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2*g + 1. Let x be z(5). Let m = x + -4. Let f(i) = -i**2 + 8*i + 1. Let a be f(m). Solve -s = s - a for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 22\/55 - ((-340101)\/(-15) + -4 + 3). Is f at least as big as -22673?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -142 in 0.085676, 3\/8, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 2*a**2 + 3*a + 1. Let d be u(-2). Let m be ((-58500)\/(-7))\/(d\/42). What is m rounded to the nearest 10000?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3589*k**3 - 5155*k?\nAnswer: 21534*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12805.\nAnswer: 5, 13, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 495*y**2 - 77*y - 77. Let n be (3 - -9 - 10) + 4*-1. Let i(u) = -13*u**2 + 2*u + 2. Give n*f(p) - 77*i(p).\nAnswer: 11*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (114\/36)\/19 - 33\/(-1188)*3774.\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 598 - ((-10)\/(-2) + -7) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 0) + 8 + (22 - 33).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2\/25 (b) 6 (c) 4 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4913?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - -2)*2 + -1. Suppose 5*m - 25 = -w - 15, 2*w - 53 = m. Let q be 2 + -5 + 175\/w. Sort 0, -10, r, q in descending order.\nAnswer: r, q, 0, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*x + 2*x. Let y be (-8292)\/3 - (5 + (-6 - x)). Is 1\/(-5) - y\/5 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.2 * 1026474.\nAnswer: 1231768.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 4 (c) 89\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -18*o - 9*o - 44*o + (-2*o + 5*o - 7*o)*(-1 + 1 + 3).\nAnswer: -83*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-12)*(-372)\/(-1395)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*h + 2094796 - 592456 = 63*h. Is h a multiple of 365?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -997 - 1758 = -4*z - 5*l, 6*l + 1352 = 2*z. Let i = z + -13007\/19. Factor 6\/19*x**2 - 8\/19 + i*x - 2\/19*x**4 - 4\/19*x**3.\nAnswer: -2*(x - 1)**2*(x + 2)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/b**(1\/10)*b*b*(b*b**(-20)\/b)\/b assuming b is positive.\nAnswer: b**(-181\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1441268?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 17 = 4*i. Let j(p) = p**2 + 5*p - 4. Let q be j(-3). Let h = q + i. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -28, -230120 in decreasing order.\nAnswer: 1, -28, -230120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1518832, -6075395, -13669690, -24301717?\nAnswer: -37971476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + i**2 + 2*i)*(-5*i**3 + 4*i**3 + 4*i**3) + (-3*i**2 + 3*i**2 - 5*i**3)*(-6*i**2 + 16*i**2 - 30*i**2) - 2*i**3 + 2*i**3 - 2*i**5.\nAnswer: 101*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*c + 294 = 11*c + 873 + 730 for c.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 4:03 AM?\nAnswer: 1:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2. Let c(w) = 32*w**2 - w - 19. What is c(b(j))?\nAnswer: 32*j**4 + j**2 - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 + 16. Suppose -t = -2*n - b + 66, -4*n + 104 = 4*t. Let a = n - 9. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4.079 + -4. Let x = -0.477 + b. Round x to two dps.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of y**5\/60 - 3*y**4\/8 - y**3\/2 + 47*y**2. Calculate j(9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -0*i - 5*i - 4000012, 3199985 = -4*i + 5*v. Round i to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -3*v**3 - 3*v**3 + 4 + v**2 - 3*v + 7*v**3 + 8*v**2. Is c(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 14*t**2 - 28*t + 88*t + 509*t + 15*t**2 in the form j + w*t + c*t**2 and give w.\nAnswer: 569","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -u**5\/3 + 575*u**4\/9 - 1663*u**3 - 37111*u**2\/9 - 9002*u\/3 - 5440\/9 = 0.\nAnswer: -1, -1\/3, 34, 160","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 AM and 7:45 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -140250 - 5?\nAnswer: -140255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1706298 to the power of 1\/2, to the nearest integer?\nAnswer: 1306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1896 + 1906. Solve 2*l - 3*l = x*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*b**3 + 44*b**3 + 32*b**3.\nAnswer: 51*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 5*u = 580, -353 = -3*i - 5*u + 3*u. List the prime factors of i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 159*t = 8*t - 46 - 709 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7061 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 10993 to the nearest 1000.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 84570989 to the power of 1\/5, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33\/(-36)*8*240\/(-2112)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1781860.\nAnswer: 2, 5, 41, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + o = -23, 0*o + 3*o + 123 = -5*v. List the prime factors of (-9)\/v + 53\/3.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*y - y. List the prime factors of y\/(-18) - 2508\/(-108).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1822*w - 98 = -1821*w - 4*q, -w - 8*q = -190 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -67? (a) -10\/7 (b) 1 (c) -269\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the second derivative of 0*j**2 + 0 - 13*j + 1\/2*j**3. Let t(w) = -2*w. Let l(b) = -4*b. Let f(i) = 3*l(i) - 7*t(i). Give f(s(x)).\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 + -3. Suppose -3*s - s = a - 5, n*a - 25 = -s. Solve z - 3*z - 8 = s for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 73?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/431078 and -15\/268.\nAnswer: 862156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 671.\nAnswer: 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 150326093 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3 (b) -1\/10 (c) 0.438 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -28 + 6. Suppose 3*r - 2*o - 18 = 2*r, 3*r + o = 68. What is the greatest common factor of r and f?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -39.3051582 to 0 dps.\nAnswer: -39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1552 = 4*n - 0*n. Suppose -2 = -y, 2*j - n + 122 = 4*y. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 AM and 8:54 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*c + 27*c = -23*c - 684 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 83*d**2. Let s(f) = -225370 - 225383 - f + 450738. What is s(m(q))?\nAnswer: -83*q**2 - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0052253 rounded to 4 dps?\nAnswer: -0.0052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 h when three letters picked without replacement from wwwwwhqhhwwwfhwwq.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -54\/25, 0.5, 2\/11, -2, 6, 4\/7 in descending order.\nAnswer: 6, 4\/7, 0.5, 2\/11, -2, -54\/25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 1 = -u - 3, 4*u - 32 = -4*x. Suppose 7*k - 9 = x*k. Is 31 a factor of (0 + -86)\/(1\/(-6)*k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -5 - (-21)\/18*(-4)\/(-7). What is the second smallest value in -1\/6, j, 0.06, 1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-3*sqrt(384) - sqrt(384))\/sqrt(8)*2)**2 + 1*(3*(sqrt(3) + (sqrt(9)\/sqrt(3))**2) + sqrt(363) + -1)*3.\nAnswer: 42*sqrt(3) + 76824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*w + 37. Let q be 6\/4*(-1072)\/12. Let s = 121 + q. Which is greater: w or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 447 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3\/2554 + -11163\/280940. What is the common denominator of f and -19\/275?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -s**5 + 10*s**4 - 31*s**3 + 30*s**2 = 0. What is s?\nAnswer: 0, 2, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 2. Let h be 8\/(-6)*2\/4. Which is smaller: u or h?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*62\nAnswer: -24.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, 2\/107, 2\/13, 3\/4, 100, -2 in descending order.\nAnswer: 100, 3\/4, 2\/5, 2\/13, 2\/107, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 7*i**2 + 25*i - 80. Let j be t(-6). Sort -2, 1, j, -6 in descending order.\nAnswer: j, 1, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(2057)*-2 - sqrt(2057) - sqrt(2057)) + -1 + (sqrt(68)*2*5 - sqrt(68))\/sqrt(4))*4.\nAnswer: -140*sqrt(17) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (11 - (-57 - 6)).\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -53.20719329 to one decimal place.\nAnswer: -53.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -81, 115, 299, 471, 631?\nAnswer: 779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 71999 or -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 12*y**2 + 20*y**2 - 10*y**2. Suppose 0 = -5*v - 3*d - 3 + 14, 14 = 2*v - 2*d. Let o(c) = -3*c + 18*c - v*c - 9*c. Determine f(o(k)).\nAnswer: 88*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - 30*a + 34*a + 61192, -5*g + 61198 = -a. Is 90 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-4)*d\/((d\/(d**3*d))\/d))\/(d*d**(1\/2)*d*d\/(d*d**(-3)*d*d))*(d\/((d**3*d)\/d)*d**(-4\/7))**(-14) assuming d is positive.\nAnswer: d**(67\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 - -7. Let k = 3 - i. Solve 2*p = 3*p - 3*y - 15, 3*y = k*p - 15 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + (-634)\/(-56) + 3\/7.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(1\/(-3) - -1). Let r = y - 5. Let m be (-150)\/(-22) + r\/(-11). Calculate the greatest common divisor of m and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 12 = 3*h. Let d(f) = f**2 + 2*f - 1. Let u be d(-3). Suppose 0 = h*o - u*o + 4*n - 48, o - n = 39. Is 17 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (13*y + 5*y**2 - y**2 - 8*y + 2)*(y + 2*y**2 - y) to x*y**2 + v + l*y**4 + r*y + t*y**3 and give l.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 - 1 + 1)*(1 + 2 + 0) - 6 + 1 + 0)*(-3*z - z + 2*z)*(4 - 4 + z)*(0*z - 4*z + 2*z).\nAnswer: 40*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 2907.\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 + l)*(635*l - 1386*l + 254*l - 1 + 3*l + l - l + (-3*l - 2*l + 4*l)*(3 + 0 - 2) + 3 - l - 3).\nAnswer: -496*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 249 - 247. Suppose -3*r = 5*s - 1113, r + 80 = -n*s + 451. List the prime factors of r.\nAnswer: 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101519994 = -j - 1322*q + 1323*q, -5*q = 3*j + 304560030. Round j to the nearest 1000000.\nAnswer: -102000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/6 + 2842\/21. Suppose -10 = 4*y - 5*u - 123, 0 = 5*y - 5*u - i. List the prime factors of y.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -3*a - 8. Let d be x(-4). Suppose 5*z - 34 = 4*r, 0 = 4*r - 6*r - d*z - 4. Which is smaller: r or -5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 15 (b) 1\/5 (c) -4 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 180 = -4*s. Suppose -3*w + 2*k = s, 2*k + 30 = w - 2*w. Let c be (2\/(-6))\/((-10)\/w). Which is smaller: c or -6\/11?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 3*x = 4*z + 88, -4*z + 20 = 2*x. Let u = 3 + x. Is u a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -123 - ((-35 + -1 - -69) + -34)?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 11*q**3 + 3. Let u(n) = 10*n**3 + 2. Give -3*u(m) + 2*v(m).\nAnswer: -8*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 559*m**2 + 44*m + 34 - 25*m - 558*m**2.\nAnswer: (m + 2)*(m + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of 60 + 0*b - 44\/5*b**5 + 0*b**3 + 1\/4*b**4 + 55*b**2. What is the second derivative of t(f) wrt f?\nAnswer: -528*f**2 + 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-6\/7)\/a)\/a)\/(a*(((a\/((a*a**(-2\/25)\/a*a)\/a))\/a*a)\/a)\/a)*(a**(1\/3))**45 assuming a is positive.\nAnswer: a**(2111\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h*h**1*(h\/(h*(h\/(h\/h**(-1)))\/h))\/h*(h**(-3\/5)\/h)\/(h*h*h\/(h**(-5)\/h)*h)*(h\/(h**(-1\/2)*h))**(-7\/3)*(h\/h**0)\/h**(-2\/11) assuming h is positive.\nAnswer: h**(-2503\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 779\/190 + (-129)\/(-10)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 26\/9 and (-91)\/4 + (-18)\/24.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of -2*d**4\/9 - 10*d**3\/9 - 4*d**2\/3 + 8*d\/9 - 6. Suppose j(l) = 0. Calculate l.\nAnswer: -2, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -312 (base 4) in base 9?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -118.9 + 118.8999088. Round i to 4 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-13 - (8 - 14))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/766738 and 63\/547670.\nAnswer: 3833690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -38 + 40. Suppose -3*g - 3*i = -i - 14, 3 = s*g - 5*i. Suppose 30 = g*w + 2*w. Solve 0 = -5*v - 5*p + 15, 0 = w*v - 3*p + 1 - 16 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = -5*n - 48, 33*o + 32*o = 67*o + n - 24 for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*l + 2 - l - 3)*(1 - l + 7 - 2) + 5*l**2 - 2*l**2 - 4*l**2.\nAnswer: 9*l**2 - 59*l - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 3 + 23 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -135, -524, -1173, -2082, -3251, -4680, -6369?\n\"Answer: -130*k**2 + k - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/769302 and -68\/11667747.\nAnswer: 70006482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 70 - 23. Suppose 2*m - 3*m = 3*f + 1, 3*m = f + h. Is m > 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*(-5)\/(-75))\/((-2)\/(-4)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2\/2 - 276169*g - 76269316561\/2.\nAnswer: -(g + 276169)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-660)\/(-48))\/(-5) - -3. Let o = 39 - 118\/3. What is the biggest value in o, 4, u?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 15 = -t, t + 4*t = 3*p + 10. Suppose -4*j + 0*j - 4*l = -40, 35 = 2*j + p*l. Is (5\/4)\/(j - (-711)\/(-144)) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -2\/7 (b) -1626 (c) -1 (d) 9 (e) 0.4 (f) -9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 150 = -5*l - 0*l, 0 = c + l - 58. What are the prime factors of c?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*n + 11*n + 5*n to the form d + y*n and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**16*i)**(-32)*(i*i\/i**14)\/i*i**(-24) assuming i is positive.\nAnswer: i**(-581)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 + 13. Let g be (h + -3)*(2 - 1). Suppose -15 = 5*d - g*d. Sort 5, -2, d in ascending order.\nAnswer: d, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.51 - -0.5099942926. Round s to six dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*v = -59 + 107. Let h(g) = -8*g**3 - 4*g**2 - 8*g. Let y(o) = -7*o**3 - 4*o**2 - 7*o. Let m(t) = 6*h(t) - 7*y(t). Determine m(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/10)\/(304\/1520).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 5*j**3 - 2*j**2 + 2*j. Let h(m) = -6*m**3 + 3*m**2 - 3*m. Let d be -1 - (3\/12)\/(3\/108). Let o = -13 - d. What is o*t(r) - 2*h(r)?\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*l + 63102 = 22*l - 44400. Calculate the highest common divisor of 46 and l.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1281.\nAnswer: 3, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 622 - 358. Suppose z - 4*k - 75 = 0, 5*z - j = z + 4*k. Let x(a) = 2*a**2 - a + 1. Let y be x(2). Calculate the highest common factor of y and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 4 - q)*(-1220*q + 3316*q - 1070*q) in the form t*q + g*q**2 + y and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*d + 53*d = 75. Solve 0 = d*l - l + 6 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 12:45 AM?\nAnswer: 7:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1446)\/(-33) - (-4)\/22. Let i = l + -12. Suppose n - 7 = 5*y + 12, -i = -4*n - 2*y. Calculate the greatest common factor of 18 and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1014 and 78?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1488 and 183145272.\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -46 - -46. Solve -1 = -2*c - 2*w - 11, b = 2*c + 5*w + 13 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -7*l + l**3 - 5*l**2 + 7 - 6*l**2 - 2*l**3 + 3*l**2. Let r be w(-6). Is r*(-3 - 4\/(-2)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -7 - (2\/(-4) - (-11)\/(-2)). What is the remainder when -3*22*j\/2 is divided by 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y + 1. Let z(u) = -5 + 6 + 0. Calculate t(b) - 2*z(b).\nAnswer: b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51 + 40*o**2 - 72 - 13*o**3 - 33.\nAnswer: -13*o**3 + 40*o**2 - 54","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2099 = -3*x + 4*i - 0*i, -1398 = -2*x + 4*i. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17308.45 millilitres to litres.\nAnswer: 17.30845","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 3*k**2 + 64*k + 2. Calculate y(-21).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 185979146 to the nearest integer?\nAnswer: 571","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -25*m. Let a(z) = -z. Let p(q) = 6*q. Let o(b) = -3*a(b) - p(b). Calculate o(k(y)).\nAnswer: 75*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**8)**(-15))**(-44) assuming w is positive.\nAnswer: w**5280","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/3 - (-7)\/3. Suppose -15 = -s*i + 19. Suppose -4*u + 20 = -0*u. Solve 7 = -u*d + i for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37593041 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 630\/126*2\/(20\/6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 785999693?\nAnswer: 785999693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2463882 is divided by 110.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (3*sqrt(1872))**2 + sqrt(1872) + -4 - (-2 + (sqrt(1872) - sqrt(1872)*3)**2)*5.\nAnswer: -20584 + 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4\/756*14*-3\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -2*l**3 + 14*l**2 + 7*l - 20. Let c be s(10). Let a be (-95)\/c - (-2)\/20. Which is smaller: 2 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 56\/949 and 19\/13.\nAnswer: 949","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -58.54 + -6.26. Let p = m + 47. Let h = 4.2 - p. What is the closest to 0 in 4, -2, h?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-6\/7))\/h**(-9)*h**(2\/3)*h*h**8 assuming h is positive.\nAnswer: h**(395\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4533\/4351 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 + 24*j**2 - 25*j + 47. Let g be v(23). Suppose 4*p = -2*p + 24. Sort 18, p, g in decreasing order.\nAnswer: 18, p, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -82122804*x**3 + 53*x**2 - 143*x + 805 wrt x.\nAnswer: -492736824","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 40*c - 14*c - 26 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -10 + (16 - 5) + -3 + 18198?\nAnswer: 2, 4549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 + 8 = u + 2*i, 3*i = -5*u + 28 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((11\/363)\/((-1)\/2))\/(2\/3)\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-45)\/(-12)*(-8)\/3. Calculate the smallest common multiple of v\/((-4)\/(-12)*-2) and 11.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -5, 1, -3.\nAnswer: -5, -3, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3223080 is divided by 128923?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(((-2)\/(-88))\/((-2)\/(-4))). Let q be 512\/126 - b\/99. What is d in -2\/7 - 8\/7*d**4 + 26\/7*d**3 - q*d**2 + 2*d = 0?\nAnswer: 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 5, j: 11}. Give prob of sequence ggj.\nAnswer: 11\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.1 and -1162.\nAnswer: -1161.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 10:25 PM?\nAnswer: 2:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 17c + -77?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1318350067 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.689395 microseconds?\nAnswer: 689.395","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - -3)*2\/(-4). Let u = b - 1. Is -1\/2 > u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 - 2. Let p be k(2). Calculate the highest common factor of 12 and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23553 - -23550. Which is the third smallest value? (a) 19\/7 (b) r (c) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53736 is divided by 1491.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 350 - 345. Solve -3*y - 1 - v = -3*r, 5*y + 4*r = 26 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 40*a**2 + 10*a + 1. What is the tens digit of k(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -2*i - i. Let t = -5 - i. Let c(x) = -x**3 + 3*x**2 - x - 2. Let u be c(3). Put u, t, 2 in decreasing order.\nAnswer: t, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*y - 39 - 3. Suppose 5*b = -y*o + 29, -14*o = -15*o + 2*b - 5. Solve -2*k - 10 = o*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1 and 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**34)\/v**21*v*v*v**38*v*v**(-49) assuming v is positive.\nAnswer: v**(-62)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-52)\/546*(-2)\/4*12.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/6 - (-68)\/66. Let k = 7096 + -7093. Which is the nearest to 1? (a) k (b) v (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1186851, -2373699, -3560547?\nAnswer: -4747395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 778336 - -5?\nAnswer: 778342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1756478.\nAnswer: 2, 878239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -6, 8, 40, 96, 182, 304, 468?\n\"Answer: u**3 + 3*u**2 - 2*u - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (206810 - -4)*4\/24 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -195*s**2 + s - 3*s - 2*s**3 + 194*s**2 as b*s + q + y*s**3 + c*s**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + -6*12\/9. Let s = -7 - -6. Let k = s - m. Does 3 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - 1001?\nAnswer: -bba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10146?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -38 - -102. Suppose -4*v = -8*v + h. Solve -w = -5*w + v for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 s when two letters picked without replacement from sogos.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -2*u. Let f(q) be the third derivative of -733*q**4\/24 + q**2 - 5. Give f(i(p)).\nAnswer: 1466*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/8 of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.22404584 rounded to two decimal places?\nAnswer: 9.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 - 8*p**2 + 8*p + 38. Let g be u(7). Calculate the greatest common factor of 360 and g.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.19 * -0.0797.\nAnswer: 0.174543","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 35*i**2 - 819340*i - 234100 = 0.\nAnswer: -2\/7, 23410","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -1385.4981 to 1 decimal place.\nAnswer: -1385.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -3*f - 1178, -17*f = -12*f - 15. Let k = q - -2424. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b + 3. Let o(k) = -8*k - 548. Give -20*g(x) - 2*o(x).\nAnswer: -4*x + 1036","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 3*z + 2. Let d(w) be the third derivative of 0 - 1\/24*w**4 + 1\/60*w**z - 2\/3*w**3 - 2*w**2 + 0*w. Give d(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -3*n**2 + 19*n + 13. Let d be g(7). Let w(x) = -33*x + 1. What is w(d)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a millimeter in micrometers?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 + 102*y**2 + 2*y + 85. Let m be a(0). Solve -15*r + 40 = m for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 + 15*g**2 + 24*g - 2. Let k be d(-2). Let h = -29 + 41. Solve k*l - h = -4 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*d - 6*d - 2 = k, 4*k + 8 = d for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22821 and 38035?\nAnswer: 114105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, y: 15}. Give prob of sequence rryr.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/5 (b) 190212 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 560027 is divided by 1526.\nAnswer: 1511","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of 3*o**5\/20 - o**3\/2 - 3*o. Suppose v(s) = 0. Calculate s.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-11)\/(-3) + 16\/(-24). Let d be (4805\/(-15))\/(o\/(-9)). Suppose -3*f + l = 4*l - 579, -3*l = 5*f - d. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -423 - -706. Suppose 2*h + 318 = 2*w, -2*w - h = -r - 26. Let o = 301 - w. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*c - 353 = -97 for c.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of 1087*h**6\/6 + 520*h**3 + 1026. Find the third derivative of o(n) wrt n.\nAnswer: 65220*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -4387, 4, 1, 0.2, -0.4, -1\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 + -11. Suppose f*p + 3 + 25 = 0. Let u be 5\/(-6)*p\/(-35). Which is the biggest value? (a) u (b) -5 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 60\/3 + 2 + 5. Solve -s*v = -29*v + 10 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -35 - -103\/3. Let a = -33.84 + 34. Let i = -0.2 + a. Sort -0.4, k, i in increasing order.\nAnswer: k, -0.4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4059? (a) -20 (b) 3\/10 (c) 0.1 (d) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1074, 7624, 25406, 60036, 117130, 202304?\n\"Answer: 936*l**3 - 2*l + 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*m**4 - 22448*m**3 + 93312*m**2 - 105280*m + 16192 = 0. What is m?\nAnswer: 2\/11, 2, 506","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, w: 6, u: 1, d: 3, o: 6}. Give prob of picking 1 w and 3 o.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 PM and 2:39 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the third derivative of r**5\/4 + 7*r**2 + 3*r. Let o(p) = -3*p. Determine j(o(g)).\nAnswer: 135*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-12))\/(2\/(-3)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -19068 and 97.2?\nAnswer: 19165.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 3*z + 11 = 0, -2*m + 2 = 4*z - 6. Let g(f) = -1. Let p(t) = t + 1. Let s(l) = 2*g(l) + 3*p(l). Let r(j) = -10*j - 3. What is m*r(n) + 7*s(n)?\nAnswer: n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 87408?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 24\/(-18)*(-6)\/4. Let p be o\/((-2)\/(-4)*-1). Let f be 4\/18*(-14)\/(224\/24). Which is the nearest to f? (a) 5 (b) -0.1 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -34865 or -5752792\/165?\nAnswer: -34865","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-3)\/6 - 53\/(-2) and (-72)\/(-10)*595\/238.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*t + 74*n - 79*n - 1, 2*n = 5*t - 19 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 6576.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99258*b = -98755*b + 18108 for b.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 81, 1 in decreasing order.\nAnswer: 81, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 5*u**2 - 11*u + 8. What is i(3)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j**5\/5 + 6*j**4\/5 + 14*j**3\/5 - 22*j**2\/5 - 12*j\/5 + 16\/5 = 0 for j.\nAnswer: -2, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 + 8*v**2 - 10*v + 4. Let p be t(-8). Let l = p + -8. Is l a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-90)\/252*(-64)\/(-40). Which is the closest to -30? (a) w (b) 1\/4 (c) 49\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (16484762 - 4853*m - 16484762)*(-m**2 + 1 + 5 - 2*m - 8) in the form s*m**3 + a + g*m**2 + v*m and give v.\nAnswer: 9706","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 6 = 5*n. Suppose -16 = -n*t - 6. Suppose t*h - 10 = 4*h. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 4*z + 10 = 0, 0 = -j - 4*j - z + 14. Find the first derivative of -55*u**3 + 24 - 45*u**2 - 59*u**j + 43*u**2 + 1 wrt u.\nAnswer: -342*u**2 - 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the third derivative of 2\/35*n**7 - 2\/15*n**5 + 1\/84*n**8 - 2\/3*n**3 + 0 + 0*n + 1\/15*n**6 + 8*n**2 - 1\/2*n**4. Factor h(k).\nAnswer: 4*(k - 1)*(k + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 - 2*n**2 + n. Let b be v(1). Suppose -o = 23*q - 19*q - 8, -5*o = 0. Let a(d) = q*d - 2 + 1 - d - 12 + 5. Calculate a(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -69554*o - 347765. Determine s(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1535465?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*l - 11 = -30*l. Calculate the lowest common multiple of l and 609.\nAnswer: 6699","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, -163, -563, -1343, -2629, -4547?\nAnswer: -7223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 3*q)*(74*q**2 - 94*q**2 + 99*q**2).\nAnswer: 237*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18, -14, -8, 0?\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -147*w - 544. Let a(p) = 148*p + 541. Let v(z) = -5*a(z) - 4*k(z). What is the first derivative of v(m) wrt m?\nAnswer: -152","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18 and 1725714?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -30 + 34. Suppose -x*p = p - 10. Suppose -p*k = -0*k - 854. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21, -76, -167, -294, -457, -656?\nAnswer: -891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15294, -30449, -45602, -60753, -75902?\nAnswer: -91049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*w = 46*w - 29*w + 112 for w.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 2*k - 2 = 0. Let u be k - (-2 + 4 + -19). Suppose -3*q + 31 = 3*p - 5*q, 4*p + 2*q = u. Is p a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 - 9. Let v(z) = 1. Let l(i) = -i - 7. What is y*l(r) + 5*v(r)?\nAnswer: -r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v + 3*v - 112. Calculate the greatest common factor of 16 and v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6288, 3210, 170, -2814, -5724?\nAnswer: -8542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 7*q + 5*d - 25, 0 = 4*q - 2*d + 10. Suppose -2*v - 678 = -2*c - 126, q = -3*c - v + 832. Calculate the remainder when c is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes after 10:03 PM?\nAnswer: 4:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 6*s - 2. Let q(r) = 11*r - 4. Let b(i) = -3*i + 37. Let h be b(11). Let m(t) = h*q(t) - 7*p(t). What is m(-3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/23)*a**24)\/((a\/(a*a\/(a*a**8\/a)*a))\/(a\/(a\/a**(-1)))) assuming a is positive.\nAnswer: a**(393\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9 and 1251?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -33*x**2. Let l(d) = 65*d. Give f(l(a)).\nAnswer: -139425*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**26\/o)\/o)\/o**(-24)*(o*o\/(o**(-6)*o))**(-32) assuming o is positive.\nAnswer: o**(-176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -86054 (base 9) to base 13.\nAnswer: -1cb9a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1824 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 -9*h**4\/5 - 11123*h**3\/5 - 43143*h**2\/5 - 28333*h\/5 + 3696\/5 = 0. Calculate h.\nAnswer: -1232, -3, -1, 1\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 133943.268 to the nearest 100.\nAnswer: 133900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 3*y - 19. Let g be t(8). Let b(s) = -15999*s + s**2 + 15999*s. Let f(m) = 8*m**2 + 1. Determine g*b(w) - f(w).\nAnswer: -3*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -2*v + 2, -15 = -5*b - 2*v + v. Suppose -3*x = 5 - 2, -2*x = b*h - 24. Is h a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 - -4. Let p = 3 + f. Let w be (-11)\/(-154)*(-8)\/2. Which is bigger: w or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -3*z**3 + 72*z**2 + 243*z = 0?\nAnswer: -3, 0, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 0 + 1 + 585*h**2.\nAnswer: 585*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83*m**3 + 163*m**3 + 3*m - 3*m - 78*m**3.\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kgg when three letters picked without replacement from {g: 3, j: 12, k: 2}?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -7*o**3 + 14*o**2 + 5*o + 13. Let c(k) = 21*k**3 - 41*k**2 - 16*k - 34. Determine -8*a(l) - 3*c(l).\nAnswer: -7*l**3 + 11*l**2 + 8*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-546)\/(-273)*(-12)\/2?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.008 in 0.61, 0.2, -10, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 3 - (-5 - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(-2\/5)*(r\/(r**6\/r))\/r*(r*r\/(((r\/r**(2\/5))\/r)\/r))**39)**(-6\/11))**(-3\/10) assuming r is positive.\nAnswer: r**(1161\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.1749 to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 721612 - 2164832\/3. Suppose 4\/3*t**3 - n*t - 4\/3 + 4\/3*t**2 = 0. Calculate t.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, -0.3, -4, -0.394?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -445 + 940. Let o be 267\/6 - (-28)\/16*(-24)\/(-84). What is the highest common factor of s and o?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 + o**2 - 2*o + 126. Let h be y(0). Suppose -r + 144 = r. Let p = h - r. Calculate the remainder when p is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2*n. Let o(y) = 13*y**2 - y + 132. What is o(c(i))?\nAnswer: 52*i**2 - 2*i + 132","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2961 and 19467?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 31 = -5*i, -6*c + c = -i + 5. Let u(h) = 2*h + 3. Suppose 5*s + 30 = -0*s - 5*v, -3*v - 9 = 0. Let y be u(s). Sort y, 1, c in descending order.\nAnswer: 1, c, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 42\/(((-4)\/(-5))\/(42\/15)). What is the highest common factor of 21 and m?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + (-1)\/(9\/(-6)). Let d = -3 - -3.1. Let p = -2.9 - d. Which is bigger: p or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 3. Let d(p) = -p + 6. Let w be d(5). Let s(h) = 3*h**3 + h. Let o be s(w). Let r(t) = -t + t + o*t + 6 - 5*t. Give 3*r(a) - 6*x(a).\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 12*x**3 + 7*x - 13. Let j(s) = -4*s**3 - 2*s + 4. Suppose 3*l = l + 14. Let q(y) = l*j(y) + 2*a(y). Differentiate q(k) wrt k.\nAnswer: -12*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-288)\/216 + (-19)\/21 and 10\/7?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, s: 16}. What is prob of picking 2 v and 1 s?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand n**4 - 6*n**4 + 4*n**4 + (2*n - 2*n - n**3)*(-1530 - 97*n + 1530).\nAnswer: 96*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:14 PM and 12:41 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -2*a - 5*k, 10 = 2*a - 3*k + 7*k. What is the nearest to -2 in 0.5, 1, 2, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b**3 + 0*b**3 + 2*b**2 + 129*b**4 - 125*b**4 - 1 as j*b**3 + v*b + m + p*b**2 + c*b**4 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-112)\/(-49))\/(-8) + (-46)\/(-14). Solve 15 = -0*h - w*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -4*y + 6. Let s be 1*-2*1 - -6. Let r be f(s). Let x = r - -16. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j*j**(-9)*j)\/j*j)\/j)\/(((j*j\/(j\/j**(-3\/7)))\/j)\/j) assuming j is positive.\nAnswer: j**(-39\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r. Suppose 8*a - 49 = -57. Let w(b) = -4*b**2 - 2*b. Let d(x) = x**2 + x. Let v = -1 - 1. Let i(y) = a*w(y) + v*d(y). Give z(i(m)).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -892 + 891. Let j(w) = 229*w**3 - w**2 + 16. Let i(t) = -t**3 - t - 2. Let p(g) = f*j(g) + 2*i(g). What is the second derivative of p(l) wrt l?\nAnswer: -1386*l + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1674 + 1669. Let s(z) be the second derivative of z**4\/12 + z**3\/6 + z**2\/2 + z. What is s(k)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 < 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2 - 6*w. Determine k(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4075167724.\nAnswer: 2, 1787, 570113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 5*g**2 + g**3 + 2*g - 11*g**2 - 6*g - 10. What is k(7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 249259398 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12062?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + 2 - (-1 - -8)) + (19 - 7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -268249510 divided by 53649902.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of 1098*q**5\/5 + 3266*q + 3009. Differentiate w(x) wrt x.\nAnswer: 4392*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w**2\/2 - 15531*w\/2 + 2493292 = 0. What is w?\nAnswer: 328, 15203","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.0329 or 0.3?\nAnswer: 0.0329","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 12 * -3.11\nAnswer: -37.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 513157615 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 q = 1511 + -1506. Solve -j - j = -5*x + 6, x = q*j + 15 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of 12*f**5\/5 + 55*f**4\/4 + 199*f**3\/9 + 44*f**2\/3 + 4*f + 33. Find l such that j(l) = 0.\nAnswer: -3, -2\/3, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, q: 1, b: 1, s: 3, d: 2, g: 1}. Give prob of picking 1 k and 1 s.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 + -77)\/((-10)\/15). Let y = a - 57. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 50 and 922.\nAnswer: 23050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 3*t = 49913, -4*p + 283*t = 287*t - 199636. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2162 + -1449. Solve -h - 709 + r = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 165816 is divided by 105.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixths of a decade in months?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 + 3*f + 4. Let y be m(-1). Let r = 1 - 1. Which is bigger: r or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/900774 and 179\/1501290.\nAnswer: 4503870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(5\/2))**38 assuming g is positive.\nAnswer: g**95","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10198*g**5 - 3*g**4 - 14819*g**2 wrt g.\nAnswer: -611880*g**2 - 72*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of -3*j**6\/20 - 3*j**5\/10 + j**4\/4 + j**3 + 3*j**2\/4 - 2*j - 14. Find l such that y(l) = 0.\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 8*o - 25, -2*y - 10*o + 6 = -6*o. Which is the closest to 0? (a) 0.3 (b) y (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61261789 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -105 - 18 - (272 + -312).\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 570 = 63*q - 312 for q.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -37 (base 11) to base 10\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2650931 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-30) + 970\/132 + -7.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -2*k**2 + 5*k. Let z(p) = -p**2 + p. Let w(a) = i(a) - 5*z(a). Let t(o) = -6*o**2. What is w(t(y))?\nAnswer: 108*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of 4*y**3\/3 + 4*y**2 - 6. Find the second derivative of m(j) wrt j.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (10\/7)\/(2\/14). Let s(u) = u**2 - 8*u - 13. Calculate s(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4191250 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -a**2*k*n - 5*a**2*k*q - a*k**2 - a*n*q + a*n - 5*k**2*n*q - 2*k**2*q + 2 wrt n?\nAnswer: -a**2*k - a*q + a - 5*k**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3774 - 5397. Let o = -988 - l. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 66 and 286?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 948*j - 481 + 481 - 2587*j.\nAnswer: -1639*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(((-1)\/(5\/(-5)))\/1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 3321000 to the nearest one hundred thousand.\nAnswer: 3300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 495 and 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 201080 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.61 - -0.576. Let t = j - 0.166. Let h = -3.9 + 3.9. Which is the third smallest value? (a) t (b) 5 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2880)*2 + 5*3*-2*sqrt(5))**2.\nAnswer: 1620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 5, f: 12, h: 2}. Give prob of sequence qqqf.\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 304 - 304 + 7*j.\nAnswer: 7*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(2156) + 0 + 2) - ((sqrt(44) - 2*sqrt(44)*4) + (sqrt(6336) + -1 - sqrt(44)) + sqrt(44)))**2.\nAnswer: 1924*sqrt(11) + 60405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20706 is divided by 197?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -45 (base 7) to base 5.\nAnswer: -113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 314 * 0.34283.\nAnswer: 107.64862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 - (0 - 1) - -2. Let b(w) = 2*w + 1. Let a be b(0). Suppose a = d*j + 16. Put -3, j, -1 in decreasing order.\nAnswer: -1, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15152, 30311, 45470, 60629, 75788?\nAnswer: 90947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 23*w**2 - 11*w + 14. Let k(v) = -12*v**2 + 6*v - 7. What is 6*j(x) + 11*k(x)?\nAnswer: 6*x**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -266143\nAnswer: -3\/266143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 5, -6046, 27\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2922 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -2*g**3 + 11. Let b = -55 + 47. Let d(c) = c**3 - 4. What is b*d(p) - 3*w(p)?\nAnswer: -2*p**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the second derivative of -5*g**3\/2 - 7*g**2\/2 - g. Let l(h) = -22*h - 11. Let i(v) = -7*d(v) + 5*l(v). Is 14 a factor of i(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 2*s + 82 = -4*m, 4*m - 16 = -2*s. Suppose -60 = 2*x - s*x. Solve -y - 4*y = -x*v - 25, -5*v = -2*y + 22 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5085 - -5085. Let b be (-34)\/(-3) + (-4)\/12. Suppose 4*v = 5*h + 74, 0 = v - 5*h - b. Which is bigger: v or o?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 c when three letters picked without replacement from {b: 5, c: 1, m: 5, k: 9}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2339699238 to three dps.\nAnswer: -0.234","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nqnn when four letters picked without replacement from qqcnqcnnqe.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6858 and 3744?\nAnswer: 1426464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 29229*r - 29187*r + 504 for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8127932 is divided by 4508.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - -6. Let r be (y\/(-21))\/(1\/9). Let l be 1\/(r - 30\/(-9)). Solve 0 = b - l + 2 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 481 + 0?\nAnswer: 481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 104, 100, 2, 5 in descending order.\nAnswer: 104, 100, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 6388.\nAnswer: 1\/1597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -637, 4, -1637 in decreasing order.\nAnswer: 4, -637, -1637","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**1)**41*d**(4\/9)\/d*d*d**(-1)*d assuming d is positive.\nAnswer: d**(373\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 498*g - 18 - 22 - 264*g + 30 to m*g + n and give n.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -2*sqrt(1900) + -4.\nAnswer: -20*sqrt(19) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/4*46\/207. Let t(n) be the second derivative of n + 1\/20*n**5 + 1\/12*n**4 + 7\/2*n**2 - g*n**3 + 0. Give t(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 16 in 11, -1, 0?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3079?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 26302 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tamotodbaoaaa. What is prob of sequence odto?\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**6)**(1\/28) assuming y is positive.\nAnswer: y**(3\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*(-3)\/2 + (-2886)\/(-111). Solve -3*b = -43*p + 39*p - 17, 4*p - 5*b = -o for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -11*y - 480. Calculate l(-42).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/(-4)*8\/(-2). Let j(b) = -6*b - 5. Let x(o) = -o - 1. Let c(p) = 4*j(p) - 22*x(p). Let g be c(2). Sort v, -4, g in decreasing order.\nAnswer: v, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -38656\nAnswer: 193280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 + 146*i**2 + 146*i + 139. Give o(147).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -137*y + 139. Let p be v(1). Let g(t) be the second derivative of 8*t**p + 9*t + 0 - 1\/3*t**3. Differentiate g(h) with respect to h.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 4*d**3 + d**2 + 3*d + 3. Let w(t) = t**3 + t**2 + t + 1. Suppose 2*j = -2*r + 8, -5*j - r - r + 11 = 0. Give j*b(k) - w(k).\nAnswer: 3*k**3 + 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 649*x - 654*x + 11 = 0, -2*q + 10*x = 38 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 + 2*m**2 - 2. Let k(r) = 363*r**3 - 469*r**2 - 10. Let i(g) = -k(g) + 5*o(g). What is the third derivative of i(t) wrt t?\nAnswer: -2208","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -3*p**3 + 689971281*p**2 - 39671697728717385*p + 39671697038746107 = 0.\nAnswer: 1, 114995213","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-114)\/(-627))\/((-16)\/(-11))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + -318?\nAnswer: -320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -236304794 by -118152397.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 + 11*i. Let t(k) = 2*k**2 - 21*k - 1. Let o(u) = -5*p(u) - 2*t(u). Let l be o(13). Let j be (23 - 8)*l\/(-6). Is j less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -385, -792, -1199, -1606?\nAnswer: -2013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -331*c**3 - 19*c + 2 wrt c?\nAnswer: -1986*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cgsbsmsmcmmcbmqmsq. What is prob of sequence gbc?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 628*t - 6770 - 2650 for t.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**4 + 493*v**3 + 120745*v**2 + 6164075*v.\nAnswer: -v*(v - 683)*(v + 95)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 0 + 2 - 2 - 2*q + 1311*q**2. Let k be a(-1). Suppose 15*s + k = 3308. List the prime factors of s.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -26 or 37020?\nAnswer: 37020","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2198245\/724)\/347)\/((-10)\/(-1)).\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1573 + -652. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (((-1 + sqrt(5))*-6)**2 - -2*sqrt(500)))*5.\nAnswer: -260*sqrt(5) + 1105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 440 and 35?\nAnswer: 3080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*j - 3*j + 2*j)*(-121 + 166 - 13*j**2 - 60) as k*j**3 + r*j + g + n*j**2 and give k.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/(-5))\/((-6)\/30). Let y = -0.48 - -0.5. Let h = y + 0.18. What is the nearest to i in h, 2, -5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.05 - 0.11. Let w = -0.02 - d. Let a = w + -0.039988. What is a rounded to 6 decimal places?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + -4. Let m(k) = 4*k + d + 0. Let l(a) be the first derivative of a**2\/2 + 26. Calculate l(m(x)).\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 31 = -2*z - 9*d, -4*z + 68 = 4*d. Suppose 3*c = z - 6. Suppose -n - 6 = -c*n. Solve -b + n = -2*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32327 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -1 + 186 + -168 - -9 - 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 - 14*h + 36. Calculate u(10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1089 + 2910. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23309.0000007224 - -23309. Round d to six dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + 2 + (4 - 3). Let p(t) = -2 + 2*t**l - 2*t**2 - 3*t**3 + 0*t**2. Suppose -6*j = -j + 15. Give p(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of -a**6\/120 - a**5\/30 - a**4\/24 + 3*a**2\/2 - 5*a + 103. Let z(g) be the second derivative of t(g). Solve z(b) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, 1, -1\/327, -23?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*a - d - 122, -2*a - 7*d + 3*d = 46 for a.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 + -11. Suppose -5*u + a = -15. Let y(l) = 7*l**2 - l + 2. Is 15 a factor of y(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 1 + 0 - 2*i + 59564*i**2 - 59563*i**2. Determine u(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 399 is divided by 161.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 59 + -35. Solve -n = -5*j + 20 - 6, 2*j - 5*n = c for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.054231 + 1.413832. Let b = i + -1.36. What is b rounded to five dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/25)\/((j**(-7\/4)\/j)\/j)*(j*j**(-3\/10))\/(j*j*j*j\/(j\/j**(-7\/5))*j))**(-43) assuming j is positive.\nAnswer: j**(-8299\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the third derivative of -307*b**4\/24 - 136*b**3\/3 - b**2 - 14*b. What is the derivative of a(h) wrt h?\nAnswer: -307","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 - 12. Let l(u) = u**3 - 10*u**2 - 9*u - 19. Let j be l(11). Sort j, 4, w in descending order.\nAnswer: 4, j, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 60373085*d - 62680986 with respect to d.\nAnswer: 60373085","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/(-42)*(-162)\/12*8\/6\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12136, 12228, 12384, 12610, 12912, 13296?\nAnswer: 13768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(1224\/(-1955)) - 13.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2720?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i**2 - 2*i**2 + 4*i**2)*(0 + 3 - 1)*(-4577 + 10583 - 4637).\nAnswer: -2738*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = 4*c - 3*a + 32, 5*a = 10 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*v + 6*v + 3*v - 4*v to the form c + p*v and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1487557 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-420)\/(-43050))\/((-2)\/10)\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 41.8745 and 1561183702.\nAnswer: 1561183743.8745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -30 + 113022?\nAnswer: 112332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -208147093905 + -0.12.\nAnswer: -208147093905.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1133550 a multiple of 687?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 240856 by 308.\nAnswer: 782","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1a + -1431?\nAnswer: -1412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in fourty-three halves of a millisecond?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, g: 4, s: 5, u: 1, t: 1}. What is prob of picking 1 h and 1 u?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 9025, 9029, 9033?\n\"Answer: 4*i + 9021","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -31 + 36. Suppose c + 120 = i*c. Suppose -x - 150 = -3*x. Calculate the greatest common factor of c and x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.649 + -0.149. Put -2, -0.02, 4, j in descending order.\nAnswer: 4, j, -0.02, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of 8*h**5\/5 - 7*h**4\/2 - 36*h**3 - 53*h**2 - 20*h + 1128. Let u(m) = 0. What is m?\nAnswer: -2, -1, -1\/4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 228 + 276. What is the remainder when 54 is divided by z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.3 and 0.23721995377747.\nAnswer: 0.53721995377747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 4801.04 to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 AM and 4:59 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 4, -21*i + 20*i = -s - 383. Let v = -383 + i. Sort v, -5, 74, 4 in decreasing order.\nAnswer: 74, 4, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1116263 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -259*d. Let s(u) = 102*u. Let m(b) = -5*s(b) - 2*v(b). Let h(j) = 17*j + 1. Calculate -2*h(c) + 5*m(c).\nAnswer: 6*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5305226.5 rounded to the nearest 1000?\nAnswer: 5305000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of 5*v - 2 - 5\/2*v**2 + 1\/3*v**3. What is the units digit of n(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (70*o + 282*o - 99*o)*(68 + 56 + 14 - 18 + 11 + 23).\nAnswer: 38962*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21318 + 21318.1. What is the fourth biggest value in 2, t, -3\/5, 0.9, -1.5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19519183 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -45 - -83. Let l = w - 38.00084. Round l to four dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 70 + 14 = 0. Suppose -r*x + 250 = -13*x. Suppose -2*m = -2*l + x, -2*l - l = -2*m - 377. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -72933 divided by 220.\nAnswer: -72933\/220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -1233*u - 16312. Give v(-14).\nAnswer: 950","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 64401 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15.5 - -15. Which is the second biggest value? (a) 0.4 (b) z (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -2*b - b - 12, 0 = 3*s + 4*b + 9. Suppose 5*x = -10, -4*x - 4 = 4*i - 12. What is the units digit of (0 - s) + (6 - i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 times -1868368\nAnswer: -11210208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -0.01, 2\/11, 3, -19, -98 in ascending order.\nAnswer: -98, -19, -0.01, 0, 2\/11, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 27 - -7. Let d = -16 + c. Let n be 2\/3 - 1452\/(-9). What is the greatest common divisor of d and n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2153 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-35)\/(-10))\/(-7) - 45\/6)*1?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4250 + -4241. Suppose 4*s - 3 - 5 = 0. Suppose n - 2*f = -s, 3*f - 10 = -n + f. Solve -n*a = -a - l for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 - 5*o**2 - 2*o - 7. Let a(p) = p**3 - 7*p**2 + 7*p - 8. Let w be a(6). Let u = w - 3. What are the prime factors of l(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/u**2)\/(u\/(u*u**4*u*u)))\/(u**0)**(-5))\/(u**(2\/5)*u\/((u\/u**(-2))\/u))**(-20) assuming u is positive.\nAnswer: u**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 17265089 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -52 divided by -20360\nAnswer: 13\/5090","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -61.7 * -0.5.\nAnswer: 30.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 4:39 AM?\nAnswer: 6:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.2 (b) -0.1 (c) -0.12 (d) 2\/31735 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-103 + 214 - 101)*(-4*v**4 + 0*v**4 + 2*v**4 + (5*v**3 + 4*v**3 - 5*v**3)*(-2*v + 3*v + v)).\nAnswer: 60*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 18717348 a multiple of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 8*u - 46. Let j be c(-7). Let z = -109 - j. What is the third biggest value in 0.4, z, -4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + -2.7. Let i = -2176 + 2177. Which is the closest to -2\/9? (a) -2 (b) t (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 19 = w, 2*w - 2*b = -0*b + 32. Let g(c) = c**2 - 4*c - 1. Let i be g(6). Is i at least as big as w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*s**3 - 10*s**2 + 754*s - 754*s in the form f*s + o + i*s**2 + m*s**3 and give i.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -4*u + 3*g, 0 = -5*u - 0*u - 3*g + 22. What is the smallest common multiple of u and (3 + (14\/5)\/(-2))\/((-286)\/(-715))?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-4)*(-33)\/165*18.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -353*u**4*v - 3*u**4 + 20*u**3*v + u**3 - 25*u**2 - 2*u*v + 674 wrt u.\nAnswer: -8472*u*v - 72*u + 120*v + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 13 = 4*p, 0 = p - 0*k + k + 3 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 39672666 and 4158.\nAnswer: 277708662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9145 and 2480.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.2253 nanograms in kilograms?\nAnswer: 0.0000000000362253","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 149 - 112.3. Let o = w - 38.7. Which is bigger: 18 or o?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 149\/71544 and -91\/1056.\nAnswer: 286176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (2\/24)\/(10\/175*259\/(-111))\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oql when three letters picked without replacement from olqqlqll?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.645 - 1375.645. Let f = a - -1298.3. Round f to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t**(-9)\/t*t*t)\/t*t)\/t)\/t)\/t**(-5\/3)*t\/t**(-2\/27)*t*t*(t*t*(t\/(t*t\/(t\/((t\/(t\/(t**10*t)))\/t*t)*t)*t*t*t))\/t)\/t assuming t is positive.\nAnswer: t**(-493\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -2*q**3 - 33*q**2 + 3*q - 237. Calculate c(-17).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 932.8 and 35.\nAnswer: 967.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 4*m**2 - 2*m + 11. Let o(f) = -f**2 - 1. Let h(x) = -k(x) - 6*o(x). What are the prime factors of h(-4)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35 is divided by 42\/231 - 130\/(-11).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 4*t**2 + 33*t - 70. Let m be c(-10). Which is greater: 53 or m?\nAnswer: 53","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 - 9*p - 6. Let a(h) = h - 20. Let l be a(15). Let j be u(l). What is the greatest common factor of 70 and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the first derivative of -62\/7*h**2 - 78 + 24\/7*h - 44\/21*h**3. Suppose n(v) = 0. What is v?\nAnswer: -3, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 124 and 64170.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60 + -53 + 81 + 53.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16 by -1.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -2*k**3 + 9*k**2 - 3*k - 6. Let l be q(4). Let j be 5 + (1 - 1) - 3. Put 1, l, j in ascending order.\nAnswer: l, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from iawxkiwiwkix?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1173.5 + -1173. What is the closest to 38 in 2\/7, -5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 100 - 100.0108. What is z rounded to three decimal places?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 45\/1249 and 115\/3258.\nAnswer: 4069242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*a**2 - 1801*a**3 + 23*a**2 - 52*a**2 + 2 - 2*a + 14*a**2 to z + y*a + x*a**2 + p*a**3 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 88 - 85. Let x(u) = -33*u**2 - 34*u - 8. Let d(g) = 11*g**2 + 11*g + 3. Let t(h) = i*x(h) + 8*d(h). Find the second derivative of t(k) wrt k.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -213*(35\/(-7) + 56\/12) - -6. Let t(v) = -v - 55. Let o be t(0). Let x = n + o. Calculate the lowest common multiple of 4 and x.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1458*c**2 + 3283*c**2 + 82*c**2 + 2519*c**2.\nAnswer: 4426*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 49 and 119.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 + -24. Let i = 40 + d. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of 0 + 9*s + 1\/2*s**2 + 1\/6*s**3. Let h be w(15). What is the greatest common factor of 80 and h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/2))**16\/(w*(w\/w**(2\/7))\/w*w\/(w**2*w)) assuming w is positive.\nAnswer: w**(65\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 1255.3117741 to the nearest one hundred.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/(-3)*(-15)\/(-10). Put 5, q, -2 in decreasing order.\nAnswer: 5, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 3*x - p - 40, -x + 2*p + 17 = 0. Let a = -61 - -88. Calculate the remainder when a is divided by x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -37 - -38. Suppose -4*q = 1 - 5. Let r = 30.6 + -31. Which is the closest to q? (a) s (b) r (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1174, -2351, -3532, -4717, -5906?\n\"Answer: -2*y**2 - 1171*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 4*q - 18 = 0. Calculate the remainder when (-6)\/q - 58\/(-6) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43414 divided by 43414?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 603.367 + -0.7.\nAnswer: 602.667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 4*o + 11. Let w be j(4). Let s be ((-1)\/3)\/((-3)\/w). Suppose -s*z + 12 = 0, -4*d - 3*z + 44 = -z. Calculate the highest common divisor of d and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 725842817*m**2 - 113*m - 2687978.\nAnswer: 1451685634","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*m - 18021 - 2654 = 10465. What are the prime factors of m?\nAnswer: 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x - 5*u + 15, -1 + 15 = 4*x + 2*u. Let k = -8.1 - -7.7. Suppose -m + 10 = -2*m. Which is the biggest value? (a) m (b) k (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 0 + 4 + (sqrt(175) - (-1 + sqrt(175))) + sqrt(175) + 5 + -1 + 2 + 4)**2.\nAnswer: 100*sqrt(7) + 275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -13.2, -232.7.\nAnswer: -232.7, -13.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -204 + 135 + 5 + -8.\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of -3160*r**7\/7 + 1295*r**3\/3 - 288. What is the third derivative of n(i) wrt i?\nAnswer: -379200*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 96 + -94. Suppose -c*u - 2 = -0*p + 2*p, 2*u = -4*p + 6. What is the tens digit of (-2)\/(p\/(-17))*6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2548 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*n - 2232 = -149*n + 13*n for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1084, -766, 44, 1592, 4124?\n\"Answer: 41*u**3 + 31*u - 1156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 15, 22, -4, 1, -637.\nAnswer: -637, -7, -4, 1, 15, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 315 and 150.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2133 (b) -1 (c) -1\/2 (d) 0.025 (e) 16 (f) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of -t**4\/2 - 7*t**2\/2 + 11*t. Differentiate c(x) with respect to x.\nAnswer: -12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + c - 165*c**2 + 3 + 173*c**2 as b + u*c + w*c**2 and give w.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6324330206 to the nearest integer?\nAnswer: 79526","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - 2. Suppose o = v + v - 2. List the prime factors of (-4 - -4) + (9 - v).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1.2 and -31311 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*a**3 - 29196*a - 29237*a - a**3 + 2 + 58552*a to n*a**3 + m*a**2 + h*a + k and give n.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/((f*f**(-17)*f)\/f)))**(1\/41)*f\/f**(-15)*f*f*f**(-16) assuming f is positive.\nAnswer: f**(66\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 + 6*n. Let t be w(-5). Which is the closest to 2\/7? (a) -2\/11 (b) -0.2 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, g: 5, y: 2}. Give prob of sequence dg.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -15\/5299?\nAnswer: -15\/5299","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 8 = -5*r. Is (r\/(-5))\/(1\/(-70)) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -190*o**3 + 46526*o**2 - 6*o + 394684466?\nAnswer: -570*o**2 + 93052*o - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 240 is divided by 64?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - -5. Let l be (-6)\/15*(-10)\/b. Solve l + 2*h + 3\/2*h**2 = 0 for h.\nAnswer: -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2072 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + (-4 - (2 - 15) - 17).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*t - n, 0*t - 15 = t + 4*n. Suppose -3*b - b + 4 = 0. What is the closest to b in t, 0.5, 3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*x**2*z**2 - 12*x**2*z + 2*x*z**2 - 17*z**2 + 6*z with respect to x.\nAnswer: 8*x*z**2 - 24*x*z + 2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 774788 a multiple of 469?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 3:27 AM?\nAnswer: 12:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1482294 + -0.10822905. Let f = o - 0.04. Round f to seven decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10519 = 13*f - 726. Let x = f + -186. List the prime factors of x.\nAnswer: 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-68)\/(-34)*-75*(-1)\/(-2).\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1277\/5 + 255. Let v = -8 + 5. Which is greater: y or v?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*s - 2*k, 0*s + 4*s = k + 19. Solve -s*l - 39 = -19*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -75\/4*m**2 + 6*m + 9\/4*m**3 + 0.\nAnswer: 3*m*(m - 8)*(3*m - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -38 + 35. Is 35 a factor of h - -6 - (0\/4 - 32)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes before 7:31 AM?\nAnswer: 2:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-3)\/2)\/((-3)\/(-16)). Is (-4)\/o*154 + 2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 493 - 444. Suppose f*n - 41*n - 9736 = 0. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2052723 (base 8) to base 14.\nAnswer: 103107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -10*t**5\/7 - 964*t**4\/7 - 9000*t**3\/7 - 31664*t**2\/7 - 48704*t\/7 - 27648\/7 = 0?\nAnswer: -432\/5, -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.51 - 0.31. Let f = x - 3. Let l = 0.2 - f. Which is the second smallest value? (a) l (b) 3\/5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -762*o + 305. Let u be f(7). Which is smaller: u or -5030?\nAnswer: -5030","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (37 + -52 - (2 - 1)) + 8. Let x(v) = -v**2 - 9*v - 11. Determine x(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 0.1 (c) -22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1411100431 (base 5) to base 8.\nAnswer: 15617710","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -0.107176.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67 = 5*s - d, 39 = 3*s + 22*d - 69 for s.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from piiiidkigipopdkpo. Give prob of picking 1 g and 1 i.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 3)*(-19*d**3 + 30*d**3 - 20*d**3).\nAnswer: -18*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -d - 11*d. Solve -b = -b + d*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 - 8*k + 7. Let d be y(7). Suppose d = 3*i - 12 - 9. Calculate the remainder when 13 is divided by i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -63.7 + 64. Which is the biggest value? (a) -0.2 (b) 7 (c) 0 (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -726 and 1136.\nAnswer: -824736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*f**2 + 55*f + 1050 wrt f.\nAnswer: 6*f + 55","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.059056 to two decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p**3 - 287884*p**2 + 3741696*p + 8634960 = 0.\nAnswer: -2, 15, 71958","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2 - 47135*i.\nAnswer: -i*(i + 47135)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 AM and 7:07 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*o - 35*o = -645. Let q = 129 - o. Solve 4*a = -q*a - 8 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -210*v + 9858 - 7758 for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 332\/3*u**2 - 178*u - 1\/3*u**4 - 14*u**3 + 245\/3.\nAnswer: -(u - 5)*(u - 1)**2*(u + 49)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(140\/(-16)*(-330)\/77).\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2*o. Let p(h) = -3*h. Let y(v) = 3*p(v) + 5*s(v). Let r(l) = 5*l - 2. What is y(r(n))?\nAnswer: 5*n - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-5 + (sqrt(612) - sqrt(612)*2) + 0 + 0 + sqrt(612) + -4*sqrt(612)*-1 + 6*(sqrt(612) + -1))**2.\nAnswer: -1320*sqrt(17) + 61320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -5*v - r + 731, 4*v - r - 590 = 0. Calculate the greatest common divisor of v and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1565268.93 + 1605739. Let b = -40046 + c. Let n = 426 - b. What is n rounded to one decimal place?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (-5 + 11)) + 3 + 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o + 4. Let n be i(-13). Let f(v) = -v**2 - 9*v. Let u be f(n). Which is greater: 1\/9 or u?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -154 (base 11) to base 14.\nAnswer: -cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*a = -222 + 112 - 170. Sort 20, 13, a, -2 in descending order.\nAnswer: 20, 13, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 AM and 2:11 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -4 + 2*k**3 + 4*k**2 + 0*k**3 + 7 - 3*k**3. Let y be m(3). Calculate the greatest common factor of 12 and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 4*o + 6 = 0, 3*r + o - 207 = 0. Is 5 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 46 = l. Let a = l + 66. Suppose a + 28 = 4*d. Solve 0 = 5*b - 2*q - d, -3*q - 25 = -6*b + 4*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 152*i**3 + 162*i**3 + 155*i**3 + 119 - 473*i**3 - 119.\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 5*h + 44. Let g be v(-7). Solve -g = m - 7 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -37*b + 17*b + 14*b. Let j(a) = 2*a**2. Calculate j(k(x)).\nAnswer: 72*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + -1 + 8\/8. Suppose -25 = -13*q + m. Let y(g) = g - 1. Determine y(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3909 - 11729\/3. Let u = 0.1 + -5.1. Let j = u + 2. What is the nearest to 0.1 in v, j, -10?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**3 + 15411750*y**2 + 19793441524731*y - 158348518551384.\nAnswer: 3*(y - 8)*(y + 2568629)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 43614, 47266, 50918, 54570, 58222, 61874?\nAnswer: 65526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqbbbrbbbrbrbzqbbbq. What is prob of sequence qbqz?\nAnswer: 11\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 991184.8cm?\nAnswer: 9911848","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + 1 - (-5 - 2). Suppose 26*q - w = 22*q. Let h(o) = -4*o**3 + 3*o**2 - 3*o + 2. Give h(q).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 176 = -3*r + i, i = 3*r - 184. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2 + 6*n + 1. Let j be y(7). Let i = 858.27 - 854.27. Sort i, j, 2\/27 in increasing order.\nAnswer: j, 2\/27, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-575)\/(-161) - 11\/((-22)\/(-8)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.83 - 0.17. Which is the nearest to 1? (a) 1 (b) m (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12593138.\nAnswer: 2, 6296569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1527591, 3055253, 4582915, 6110577, 7638239?\n\"Answer: 1527662*i - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -853000 to the nearest ten thousand.\nAnswer: -850000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 - 5. Solve 11 = -w*n - 9 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/((5 + -4)\/(-14)). Let g = f + 17. Suppose 1 = -g*m + 4. Calculate the highest common divisor of 3 and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1609, -1610, -1611, -1612, -1613, -1614?\n\"Answer: -p - 1608","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-3 + 0 + sqrt(325))*1 - (sqrt(325) + sqrt(325) + 0)*-5*-2).\nAnswer: 15 + 475*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 - 5*w**2 + 5*w - 2. Let a be n(4). Let j be ((-6)\/5)\/(a\/5). What is the tens digit of (j - 2)*(2 + -7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*k**4 - 2*k**4 + 0*k**4)*((-3 - 3 + 4)*(-6 + 2 + 3) - 5 + 3 + 4 + 1216 - 419 - 298) to the form a*k**3 + b + p*k**2 + g*k + l*k**4 and give l.\nAnswer: -1006","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/2122384 and 87\/176.\nAnswer: 2122384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 24 = 3*v, -4*v - d - 20 = 12. Let i(k) = -k - 3. Let h be i(v). Suppose -22 = -h*j + 8. Solve -3*a = j - 3 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 9*u - 5. Let z be k(4). Suppose 3*d = 5*c + z, 4*c + 19 = -3*d - c. Let r(g) = 2*g**2 - 7*g**d - g**2. Determine r(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (84 - 65) + 2 + -46 + 3 - -92.\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 7:08 AM?\nAnswer: 9:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*q + r, -5*r = q - 6 - 7. Let n be (1 + 5)*1\/2. Solve q = -6*g + n*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -l - v - 4, 2*l - 13*v = -9*v + 10 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 - 13*u**2 + 14*u + 6. Let y be a(-7). Let k = y + 771\/2. Put k, -5\/2, -3, 7 in descending order.\nAnswer: 7, k, -5\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4\/(-10) + 244\/10.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of 1\/60*u**6 + 0 + 0*u**4 + 12*u**2 + 0*u - 4\/3*u**3 + 1\/10*u**5. Determine a, given that g(a) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + -2.5. Let o = 0.9 + v. Which is the third smallest value? (a) -1 (b) o (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98717*w - 98713*w = -i + 6, w - 39 = -4*i for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 94590.73 days to minutes.\nAnswer: 136210651.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-2)\/(-6))*60\/(-36)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 627258 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does -38880\/21953 = -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1134)*-4*2)\/(-2*sqrt(252)*-2).\nAnswer: -3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 96.658758 to 2 dps.\nAnswer: 96.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 204 - 204. Solve j = -2*c + c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/3*12\/((-408)\/(-85))\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 112630749 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 4*d - 3*d + 3*d - 2*d + 8. Let s be g(8). What is the highest common factor of s and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -267831 and 6?\nAnswer: -1606986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of c**8\/100800 - c**7\/25200 - c**5\/30 - 4*c**2. Let h(j) be the third derivative of s(j). Let h(l) = 0. Calculate l.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/8*(-36)\/(-18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -11 - 2*y**3 + 3 + 7 + 2*y**4 - 2*y as j*y**4 + z*y**2 + m*y + i*y**3 + l and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 3 = 7. Suppose s*q + 11 = 3. Let i(k) = -3*k - 1. What is i(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -5*h - 2. Let o be j(-7). Calculate the greatest common factor of o and 363.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 f when three letters picked without replacement from ffffffffefffffffff.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 1 - (0 - (2 + -5))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 89.1276ml?\nAnswer: 0.0891276","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.42481 rounded to two dps?\nAnswer: 0.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -12*p**3\/5 - 152*p**2\/5 + 10532*p\/5 + 177072\/5 = 0?\nAnswer: -68\/3, -21, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, -7, 7?\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30680?\nAnswer: 2, 5, 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/7*(225 + -224). Factor 0 + i*v**2 + 12\/7*v.\nAnswer: 3*v*(v + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 AM and 2:27 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 132, 433, 934, 1635?\n\"Answer: 100*g**2 + g + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of -y**2\/2 - 2*y + 1. Let l = -2 - -2. Determine j(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*r + 53 - 143 = 0 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*o + 80 - 16 = -v - 86*o, 10*v + 88 = 4*o for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 13) to base 7\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -155*z - 7224. Calculate j(-65).\nAnswer: 2851","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 2\/3, -0.3, -0.07, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 4*d**3 + 2*d**2 + 9*d - 5. Let p(m) = -165*m**2 + 164*m**2 + 0 + 2 - 2*m**3 + 7*m - 11*m. Let h = 6 - 1. Give h*p(i) + 2*z(i).\nAnswer: -2*i**3 - i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 (base 10) in base 14?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4998 and 1492005?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of 9*p**5\/100 - 7*p**4\/40 - p**3\/5 - 3*p**2\/2 + 3*p. Let v(h) be the first derivative of b(h). Factor v(d).\nAnswer: 3*(d - 1)*(9*d + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20616, 20587, 20524, 20415, 20248, 20011, 19692?\nAnswer: 19279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 2 + 2. Let p(w) = -2 + 59*w - 58*w + 3 - 3. Calculate p(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 4:44 AM?\nAnswer: 9:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 21*v - 24. What are the prime factors of m(4)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-160)\/(-25))\/(-8)*-10. Suppose -3*u = r - 24, -9*r - 1 = -g*r - 2*u. Let a(l) = l**3 - 10*l**2 + 8*l + 13. Calculate a(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 465503 and 112811?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000701862 to five dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 34716540 * 0.5\nAnswer: 17358270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 349524?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -31*s**3 - 29*s**2 + 13*s - 232434 with respect to s.\nAnswer: -93*s**2 - 58*s + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a - 7. Let u be g(7). Suppose 5*o - 4 - 6 = u. Suppose f = 3*f - 4. Solve 2 = o*r - f for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1617*n*t**3 - 2*n*t**2 - 2*n*t + 2*n - 1420*t**3 - 3*t**2 - 186158*t wrt t.\nAnswer: -9702*n - 8520","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f + 3. Let k(d) = 2*d - 7. Let q(t) = 3*k(t) + 7*m(t). Let g be q(3). Which is the third biggest value? (a) -0.4 (b) 1\/5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7467 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b. Let o(z) be the second derivative of 29*z + 11\/3*z**3 - 1\/4*z**4 - 2 + 0*z**2. Calculate g(o(c)).\nAnswer: 3*c**2 - 22*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/10, 0.2, 2213, -0.1, 5, 4\/11 in descending order.\nAnswer: 2213, 5, 4\/11, 3\/10, 0.2, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2000*p. Let g = -5 + 4. Let d be (-1)\/(-1)*(g - -2). Let c be w(d). Round c to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 3*w - 20 = -59, 5*w - 9 = -4*p. Suppose 2 + p = -4*i. Is 10 a factor of i - (-1)\/(1\/24)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 3 - 10 - 6 - 9 + 10*j. List the prime factors of z(11).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 32*v - 5. Let w(i) = 95*i - 15. Let p(o) = -7*c(o) + 2*w(o). Let k(m) = m**2. What is p(k(u))?\nAnswer: -34*u**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 0*s**2 - 45*s**5 + 2*s**2 - 19618*s + 19588*s wrt s.\nAnswer: -2700*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = w + w. Let v(i) = i**3 - 7*i**2 - i + 10. Let c be v(7). Suppose n - 2 - c = 0. Solve 2*m + 3*g + 8 = -w*g, -5*m + n*g - 20 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*j + 340 = 63*j. What is the highest common divisor of j and 136?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -76 - -381\/5. Let j = -587\/176358 + -2\/4641. Let v = j - -543\/2926. What is the biggest value in v, -4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 526, 542, 558, 574, 590?\n\"Answer: 16*p + 510","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -20*b + 163. Let r(i) = 12*i - 92. Let f(g) = 12*r(g) + 7*v(g). Give f(-4).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 14 = 3*a, -5*a + 3*q - 85 + 30 = 0. Let u be -7 - -10 - (a*1)\/4. What is the second smallest value in u, -2\/21, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1402?\nAnswer: 2, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -5*l - 12. What is t(12)?\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4*-10*(-21)\/280)\/((-17)\/(3094\/(-147))).\nAnswer: 26\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 8, -4*k - 3*y = -0*y + 1250. Is k\/(-4 - -2) - -2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(200) + 2 - sqrt(200))**2 + 0 - (sqrt(200) + sqrt(200) + 2)**2*6) + 2.\nAnswer: -4818 - 480*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in three sevenths of a week?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w**(-3\/26)\/w)*w**(-28)\/w*(w\/w**(17\/2)*w*w)\/w*(w\/(w**27*w))\/w)**(-2) assuming w is positive.\nAnswer: w**(1622\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyyyy. What is prob of picking 2 y?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 246430?\nAnswer: 2, 5, 19, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 23 = -t, 3*r + 3*t = -17 + 32 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - -386?\nAnswer: 382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7223\/12537 - 31\/796. Calculate the common denominator of d and -173\/30.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 8*c + 5*c + 5 = 30, 13*m - 4*c + 92 = 0 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 take away -10829254?\nAnswer: 10829254.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3108633 is divided by 777158?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 259*f + 339*f + 336*f + 340*f - 1958*f + 341*f + 339*f.\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -936198.7762 to the nearest 10000.\nAnswer: -940000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.445 - 4.535. Let s = g + 3.95. Which is the nearest to -1? (a) s (b) 3 (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6 + -1)*(-2)\/(-5). Let u be ((-2)\/(-6))\/(a\/1914). Let x = 474 - u. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + 0 - -2 - 3) + 7\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -3104*a + 27919. Give m(9).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 3*a - 1621477 = -2*u, a = 5*u - 1621469. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*g**3 + 8*g**3 + 2 - g**3 to q*g**2 + p*g + a + y*g**3 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 193, 187, 177, 163, 145, 123?\n\"Answer: -2*s**2 + 195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.6 - 3. Let t = 18 - 13. Which is the closest to 0.1? (a) m (b) t (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -5*w**2 + 4*w - 7. Let x(o) = -4*o**2 + 5*o - 8. Let h(y) = -3*x(y) + 2*z(y). What is the smallest common multiple of 14 and h(2)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 62 - 38. Let d be (-15)\/(-12) + p\/32. Suppose -d*g = 6*g - 5080. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -2*x**2 - 5*x - 1. Let b be f(-1). Solve b = -3*k + o, 8 = 6*k - 11*k + 4*o for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 345*m + 59965. Give r(-174).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122*n + 116*n = -248922. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, 25, 34, 41?\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*k**3 + 4423755*k**2 - 815401451772*k + 407699619948.\nAnswer: -3*(k - 368646)**2*(2*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 - (-4)\/8)*(-40)\/(-15). Solve 8*f - 24 = -p*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 70397097 to the nearest ten thousand.\nAnswer: 70400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -351*t + 121*t + 97*t**2 + 115*t + 115*t.\nAnswer: 97*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 - 8*y**2 - y + 7. Determine t(-7).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1611*c**2*x**2 - 6*c*x**2 + 20*c*x wrt c?\nAnswer: 3222*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15935*t**4 - 45069*t**2?\nAnswer: -382440*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 3, 0.297 in increasing order.\nAnswer: -0.2, 0.297, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -115776 - 43*i**3 + 8*i**3 + 28*i**3 - 115781 + 8*i**3 + 231557.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 - 2)*(0 + 2). Let s(x) be the third derivative of -x**6\/120 - x**5\/30 - 5*x**4\/24 + x**3\/6 + 3*x**2. Is s(i) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 - 9*d**2 - 7*d + 5. Give h(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -144 (b) 0.2 (c) 0 (d) 2\/23 (e) 2\/9 (f) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -8*a**2 + 5. Let m be (-5)\/2*(-34)\/(-17). Let o(g) = 6*g**2 - 4. Let t(c) = m*o(c) - 4*j(c). Let r(b) = 2*b - 1. Determine r(t(v)).\nAnswer: 4*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -25.41 take away -0.2?\nAnswer: -25.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 9 divided by -655\nAnswer: -9\/655","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -21\/2, 0, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*m + 2*q - 111480 = 71*m, -5*q = 2*m + 44621. What is m rounded to the nearest one thousand?\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.24, -140.2, 41?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 33*a - 81*a + 10*a - 152. Let d(g) = 5*g**2 - 4*g - 4. Let m(s) = s**2 - s - 1. Let q = 0 + 1. Give a*m(y) + q*d(y).\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwk when three letters picked without replacement from vwvvkcvvkvwwzv.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = -4*o + 13, -4*j + j - 11 = -2*o for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 2*w + 0*w + 6 = 0, -3*w = -h - 5. Suppose h*m + 19 - 35 = 0. Find the second derivative of a - m*a - a**2 - 3*a**2 + 5*a wrt a.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 - (-2 + 2\/1). Let f(p) = -2*p**x + 3*p**2 - 2*p**2. Let a(k) = 2*k**2 + 3*k - 3. Let g(u) = a(u) + f(u). Calculate g(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5368687603 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -13435799?\nAnswer: -1\/13435799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/(c**(2\/5)\/c)))**(-26) assuming c is positive.\nAnswer: c**(78\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -201 (base 12) to base 14.\nAnswer: -169","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 784824041 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 + 9668)\/5 + 0 + -8. What is the greatest common divisor of 126 and s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 30*i - 931 + 846 + 19*i with respect to i.\nAnswer: 49","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z**4 - 1 + 1 + (3 - 3 + 2*z**3)*(-4 + 4 - z) + z**4 - z**4 + 2*z**4 - 3*z**2 + 179*z**3 - 3625735 + 3625735 + 15*z**4.\nAnswer: 14*z**4 + 179*z**3 - 3*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, z: 2, m: 3}. Give prob of sequence mm.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 34820608 to the nearest integer?\nAnswer: 327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3336 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 20 = 3*s. Let b(f) = f**2 + 0 + s - 5 + 3*f**3 - 2*f**3. What is b(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 4*t**3 + 52*t**2 + 104*t - 160 = 0.\nAnswer: -10, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand x**5 - 3*x**5 - 2*x**5 + (1 - 1 + 8*x)*(14*x**4 - 293*x**2 + 293*x**2) - x**5 + 4*x**5 - 2*x**5.\nAnswer: 109*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - (1 + -3)) + (0 - -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c + 3*c**2 + 4*c)*(610 + 3469*c - 1739*c - 1729*c).\nAnswer: 3*c**3 + 1830*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2 - 8*n - 5. Let j be w(-6). Is 14 a factor of j*(-1)\/((-1)\/2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*y + 2*y + 3*y + (2*y + 7*y + 2*y)*(-2 + 5 - 1))*(1 - 2*y - 1)*(1 - y - 1).\nAnswer: 74*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -710.\nAnswer: 1\/355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 + 2*z - 4)*(-1 - 1 + 0) + 1 - 2*z - 1 + 2*z - 2 + 2 + 4*z - 2*z + 0*z + 4*z - 4*z - 2*z + 4*z - 4*z - 3*z)*(2*z**3 + 0*z**2 + 0*z**2).\nAnswer: -14*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 + a**2 + 2*a + 3. Let z be x(-2). Let y = -5 - z. Let i be y + 3\/(-3) + 20. Round i to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a + 1. Let r be i(2). Solve 6*f = -r*t + 4*f + 14, -t + 10 = 2*f for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2348 + 29*y**3 + 35*y**3 + 2350 - 52*y**3.\nAnswer: 12*y**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 26854 + -0.07\nAnswer: 26853.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of -v**3\/6 + 11*v**2\/2 - 5*v. Calculate z(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -0*x - 13. Suppose 4 = -3*k + x, -4*u - 3*k + 9 = 0. Let y = -0.1 + 0. What is the second biggest value in u, 1, y?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -50\nAnswer: -250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 158 - 138. Suppose 10*x - l = 30. Let m(b) = -2*b**2 - 6*b + 8. Let j be m(-4). Which is smaller: j or x?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.079 - 237709?\nAnswer: -237708.921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 38 - 23. Suppose -2*f + a = -f - w, 2*a = -3*f + 50. What is the least common multiple of f and 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkg when three letters picked without replacement from zkzikkngk?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 32\/2447 not equal to 0.275?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -3*n**2. Let u(t) = 39*t. Give u(d(h)).\nAnswer: -117*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {h: 19, k: 1}.\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/((c*c**(-1))\/c))\/(c**(-3\/5)*c*c))**(-27) assuming c is positive.\nAnswer: c**(-81\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 - -25.6?\nAnswer: 25.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4429.5 - -4430. What is the nearest to 9 in n, -3, 0.3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11507.\nAnswer: 37, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -68 - -82. Find the third derivative of 110*r**2 - 7*r**2 - 11*r**6 + 9*r**4 + u*r**6 - r**4 wrt r.\nAnswer: 360*r**3 + 192*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + -5. Suppose y*m - 7*m = -15. Let s = m + -1. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/54 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 17192 or -2\/5?\nAnswer: 17192","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -1. Let r(a) = -59 + 3*a**2 + 3*a**2 + 80. Let k(v) = -6*f(v) - r(v). Differentiate k(n) wrt n.\nAnswer: -12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -1*(-6 - (2 - -1)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*s - 2*s - 20. Let r(d) = -6*d**3 + d + d + s*d**2 + 0*d - 2. Is r(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mcxuyua. What is prob of picking 1 a and 1 m?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3252 - 3224. Solve -5*h - 2*l = -28, 6*h - 8*h - 5*l + t = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*d - 16847*o = -16844*o - 135, -3 = 3*d - 3*o for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/4 less than or equal to 5.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1148 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0747 * -4.\nAnswer: -0.2988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -3722.3142 greater than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*s**4 + 183055*s**3 - 2*s**2 + 6955091*s?\nAnswer: -36*s**2 + 1098330*s - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -10 and -3403?\nAnswer: 34030","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-148)\/11 - (-20124)\/1548?\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 + 8*p**2 + 10*p - 7. Suppose -2*y - 2*y + 36 = 0. What is the units digit of l(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3\/5 + 1\/10. Let y = 0.6 + -1.5. Let n = -2.1 + y. Which is the second biggest value? (a) x (b) n (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 200927 to the power of 1\/2, to the nearest integer?\nAnswer: 448","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -272*a - 1185 - 1896 = -361 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2658.99 + -2672. Let n = i + 1.31. What is n rounded to 0 decimal places?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 157\/10 + -16. Let v = -4600 - -2899. Let c = -6897\/4 - v. What is the common denominator of x and c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - x + 81 = 0. Let a be (-3454)\/9 - 6\/x. Does 13 divide a\/(-15) - (-4)\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1138 is divided by 234?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 169259764*j + 8 - 169259754*j - 28 + 12 + 8.\nAnswer: 10*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 188 - 184. What is the third derivative of l**4 - 6*l**v - l**5 + 9*l**5 + 59*l**2 wrt l?\nAnswer: 480*l**2 - 120*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.81666 + -0.01666. Which is the biggest value? (a) -2 (b) h (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -13*z**2 - 123*z - 57. Let f(r) = -7*r**2 - 66*r - 29. Let m(n) = 9*f(n) - 5*q(n). Determine m(-9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000211219 rounded to 7 dps?\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/5 and -133\/162?\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 9028890 - 0.1\nAnswer: 9028889.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 73, 21, 10 in ascending order.\nAnswer: 10, 21, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 - (-1 - 4\/6). Let f be (-174)\/(-1305) + 124\/(-30). Which is the nearest to u? (a) f (b) -5 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 + 6*g + 1. Let x(m) = m**2 - 7*m - 2. Let d(s) = -s**3 + 13*s**2 - 2*s + 23. Let u be d(13). Let p = -7 - u. What is p*a(t) - 3*x(t)?\nAnswer: t**2 - 3*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 2*v + 3, -a - 3*v = 31 - 13. Let y be 3*(-3)\/a*(-13)\/(-1). Solve 5*j = 38 - y for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 take away 5924435567.12?\nAnswer: -5924435566.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -1193*i**2 - 20*i - 20. Let a(b) = -63228*b**2 - 1056*b - 1056. Determine -5*a(s) + 264*w(s).\nAnswer: 1188*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/372 and 21\/5977792.\nAnswer: 17933376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 45130 (base 10) in base 8?\nAnswer: 130112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.63 + 0.03. Let i = z - -0.5. Let c = 0.19 + i. What is c rounded to 1 decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16078773661 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7269723 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.014942 and -2.\nAnswer: -1.985058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*s + 3*p = -152, s - 169 = 5*p - 79 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5684.\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1211298639 to the nearest integer?\nAnswer: 1066","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20, 4, 30, 58?\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 15 = -3*v, -v + 29 = 4*v + 3*b. Suppose -5*r - 12 = v*n, -4*r - 5 = 3*n + 4. Let o(t) = -t**3 - t**2 - t + 1. Is o(n) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 3 r when four letters picked without replacement from {r: 5, f: 1, j: 5, w: 4}.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.0817, -0.3, 95, 3, 5 in increasing order.\nAnswer: -0.3, 0.0817, 3, 5, 95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/6886277 and -13\/917?\nAnswer: 48203939","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2282*f**2 + 919*f**2 + 1566*f**2 + 1521*f**2 to r*f**2 + v + q*f and give r.\nAnswer: 6288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -1651522.\nAnswer: 2\/825761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 8394461923 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9748 = 2*t - w, 86*t + 3*w - 4888 = 85*t. What is the hundreds digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 488\/11 > 43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9582756 litres to millilitres.\nAnswer: 958.2756","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 3885?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2a - 12?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t. Let z(b) = -11576*b**2. Give g(z(d)).\nAnswer: -23152*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3\/(-1))\/(78\/(-4)). Put -4, -0.5, r in ascending order.\nAnswer: -4, -0.5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -188*s + 165*s - 51 + 42 - 145.\nAnswer: -23*s - 154","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8098 greater than 8112?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1f6e9 + 9e?\nAnswer: 1f787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1252 divided by 3.\nAnswer: -1252\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(425) + 2 + sqrt(425))**2 + -2.\nAnswer: 80*sqrt(17) + 1714","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (450\/(-375))\/(6\/20).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2048 divided by 15.\nAnswer: -2048\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - (0 - 4)) + -2?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 1\/3, -0.3, 0.2, 3, -9, 19\/4, -936?\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001296459 to five dps.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*t**3 - 68*t**2 + 16*t**2 + 52*t**2.\nAnswer: 7*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 3*o + 323 = -2*a, o = -a + 111. Suppose 3*u + 149 = 4*d + 42, -4*d = -5*u - o. Is 13 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -2*z**5 - 2468*z**4 - 101448*z**3 - 1582636*z**2 - 10985590*z - 28557936 = 0.\nAnswer: -1192, -11, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -51, -2\/7, -2, -1\/2 in decreasing order.\nAnswer: -2\/7, -1\/2, -2, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7020*o**2 - 1435*o**5 + 8497*o**5 - 1961*o**5 - 1611*o**5 wrt o.\nAnswer: 209400*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 34 + -4136590?\nAnswer: -4136556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/((-414)\/(-3)))\/(15\/(-90)*-2)\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**0\/a)**(-5\/2))**(-31) assuming a is positive.\nAnswer: a**(-155\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (101 - 119)*1\/3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 168 and 2285616.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5\/10*(-2 - -20). Let r(a) = -a + 15. Let l be r(f). Let h be 5\/(50\/l)*1. Is 0 <= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20*y + 910072 - 911512 for y.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.0023 or 2\/5?\nAnswer: -0.0023","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z + 32*z = 29*z - 116. Solve -9*b - z*b = 342 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2. Let x(o) = -7*o**2 + o + 2. Let b(g) = -g**2 + 18*g + 2. Let c be b(18). Suppose 2*t = 5*v - 13, 4*v = 4*t - c*t + 12. Give v*x(u) + 6*l(u).\nAnswer: -u**2 + u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36214 is divided by 12059.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 - 3. Suppose -5*v = -4*t, 2*v + 2*v + t = 0. What is the closest to 1 in a, 0.1, v?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2*y**2. Let v(o) = -o - 9. Let r(g) = -270*g**2 + 10*g + 90. Let h(d) = 5*r(d) + 50*v(d). Give b(h(z)).\nAnswer: -3645000*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32178 and 62626.\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 6 and -23574577492?\nAnswer: 23574577498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 413 + -17?\nAnswer: 3a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-14)\/(-4))\/((-2)\/(-4)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -8, 823.54 in decreasing order.\nAnswer: 823.54, 2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 3*d**5 - 366*d**4 - 1878*d**3 - 3408*d**2 - 2661*d - 762 = 0.\nAnswer: -2, -1, 127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -48*v + 39. Let w(a) = -10 + 10 + 201032*a - 201033*a. Calculate w(p(g)).\nAnswer: 48*g - 39","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -82*s**2 + 199*s wrt s?\nAnswer: -164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 AM and 11:40 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of 11*h**4\/4 - 133*h**3\/3 - 174*h**2. Let n be z(5). Calculate the greatest common factor of n and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*w**3 - 3*w**3 - 4*w + 8*w**3 to the form d + k*w + p*w**3 + h*w**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 17 - (1 - (4 - 2)). Let z be (-12156)\/(-27) - 4\/u. Suppose -5*q + 205 = -z. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 92.4884kg to tonnes.\nAnswer: 0.0924884","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0717519867 to four dps.\nAnswer: -0.0718","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*b - 31*b = -4*b. Suppose -3*w + 88 - 34 = b. Solve -9*o + 15*o = -w for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 4, 3, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 h when two letters picked without replacement from booytybtthyttxyy?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9 - 1 - (9 + -6). Let p be 10 + -6 - (v - 0). Is 2 at most p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 - b**2. Let c(o) = 9*o**3 + 8*o**2 - 4*o - 4. Let y(n) = c(n) + 6*q(n). Calculate y(-2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -3*h + 10 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 25*c - 1. Give w(-1).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9.8 - -16.1. Let x = 6.382 - p. Let h = -0.1 + x. Round h to two dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1310359 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1640 is divided by 406.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*l**2 - 1 - 35*l**4 + 25*l**4 - 4*l**2 in the form g*l**3 + f*l**4 + a*l**2 + o*l + h and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 72 and 75.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 + 23. Suppose -4*h + z + 128 = 0, -3*h - 90*z + 86*z + 96 = 0. Calculate the remainder when h is divided by t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 4*y = -5, -84 - 35 = 8*s - 15*s + 28*y for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.3 + 22.3. Let a = v - 13.5. Let n = a - 0.5. What is the closest to 1 in -0.5, n, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence obba when four letters picked without replacement from ewabbvo?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1398 * 1.\nAnswer: -1398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 10101001000001100010 (base 2) to base 7\nAnswer: 5612301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*i - 22*i**2 + 12*i - 12*i - 5*i as r*i + w*i**2 + m and give w.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 821833\/7 + -117049. Let p = r - 356. Is 249 at most p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(128) + 1 - (sqrt(128))**2*-1.\nAnswer: 8*sqrt(2) + 129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 - k**2 + k - 1. Let j(q) = -2*q**5 - 6*q**3 + 10*q**2 - 6*q + 6. Let i(o) = -j(o) - 6*l(o). Find the third derivative of i(n) wrt n.\nAnswer: 120*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -5*g - 10, 59*g - 55*g + 31 = -3*z. Put -59, g, -13, -1, -3 in decreasing order.\nAnswer: -1, -3, g, -13, -59","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1747 - 1686. What is the remainder when 69 is divided by g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.3 (b) 0.5 (c) -93\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*k - 5852 + 3218 + 3048 = 0 for k.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 3*x**2 + 16*x - 325. Let n be y(-32). Calculate the greatest common divisor of n and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from xexuggxuxxxxx?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 132 and 108.\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(18) + sqrt(72)\/sqrt(4)) - (sqrt(54)\/sqrt(3) + -1))**2.\nAnswer: 54*sqrt(2) + 1459","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19779\/10 + 1968. Let c(h) be the third derivative of -h**6\/60 + h**5\/60 + h**4\/24 + h**3\/6 + h**2. Calculate the common denominator of c(-1) and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 AM and 8:36 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1055 - 331?\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 4, s: 2}. Give prob of picking 4 t.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 284452.1 centimeters in kilometers?\nAnswer: 2.844521","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 52519769 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -206 - 1. Find the third derivative of j*r**4 - 4*r + r**2 - 6*r**2 + 5*r + 36*r**2 - 4*r wrt r.\nAnswer: 4968*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(2\/5))**(-40)\/(t**0\/t)**49)\/((t**2*t*t**(-4))\/(t**(-5\/4)*t**(-2\/3))) assuming t is positive.\nAnswer: t**(289\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (((-110)\/12)\/(-11))\/(-5)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 + 101*z**2 + 87*z - 891. Give j(-100).\nAnswer: 409","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 5*g + 24, -5*g = z - g + 9. Let x(j) = 0*j - z*j + 4*j. Let q(o) = 8*o + 11*o - 2*o. Give x(q(u)).\nAnswer: 17*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 2:50 PM?\nAnswer: 9:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (70*m - 39*m - 40*m + 3)*(-2 + 0 + 1)*(-1 - 5 - 7)*(0*m**2 + m**2 + m**2).\nAnswer: -234*m**3 + 78*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5015916 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 - 5*q**2 + 2*q + 10. Suppose 10 = -3*k + 5*k. Let m be z(k). 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 j be (6\/9)\/((-2)\/(-15)). Suppose -j*f + 17 = 2*l - 31, 3*l - 72 = f. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -858*s**4 - 43*s**3 + 15*s - 21*s**3 + 428*s**4 - 45 + 431*s**4 + 22*s**3 wrt s?\nAnswer: 12*s**2 - 252*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2 - 212*j + 5618.\nAnswer: 2*(j - 53)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 39398?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2*c**2 + 4*c + 3. Let y be n(-2). Suppose -7*h + 7 + 7 = 0. What is the first derivative of -h*o - 4 + y*o + 6 + 2 wrt o?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -269, -540, -817, -1100, -1389, -1684?\n\"Answer: -3*f**2 - 262*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 114, -16, -360, -924, -1714, -2736, -3996, -5500?\nAnswer: -7254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 336\/89 greater than or equal to 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 1. Let q be (-1 - o\/2) + -1. Suppose -f + 11 = 4*f - 3*c, -2*c + 6 = q. Solve u + u = -f for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u**4 - 675*u**3 - 12400*u**2 - 49500*u - 54720 = 0. What is u?\nAnswer: -114, -16, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25333 = 22*j + 9449. Calculate the remainder when j is divided by 247.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of 44*r**2 + 0*r + 25\/2*r**3 + 5\/12*r**4 + 1\/180*r**5 + 0. Factor k(i).\nAnswer: (i + 15)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1896, -1868, -1840, -1812, -1784, -1756?\nAnswer: -1728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -241, -958, -2151, -3820, -5965, -8586, -11683?\n\"Answer: -238*p**2 - 3*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1968 = 5*d + 448. Let v = d + -229. What is the greatest common factor of v and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 166718161 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-1)\/(-8)*1420\/45 and ((-2)\/72*1)\/(278\/20294)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 297\/(-1584) + (-3666)\/160 + (-2)\/(-20)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + -9c2a?\nAnswer: -9c25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o\/((((o*o\/o**(-2\/7))\/o)\/o)\/o))*o)**(-19)\/((o*o**(-6))\/(o*o*o**(1\/6)*o)) assuming o is positive.\nAnswer: o**(913\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 + -3 - 2) + 2 + 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1678 - -1766. What is the greatest common factor of r and 704?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-14462)\/(-210) - 0) + 2\/15. What is the second derivative of h*w + 105*w**4 - 84*w + 57*w - 2 wrt w?\nAnswer: 1260*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 206023719 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -199 - -201. Let c be ((-50)\/(-350))\/(1\/a). Solve 0 - 4\/7*i**2 + 0*i + c*i**3 = 0 for i.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2658556, -5317126, -7975696, -10634266, -13292836, -15951406?\n\"Answer: -2658570*p + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 822419.\nAnswer: 5\/822419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -63126569*s**2 + 90090077*s - 1?\nAnswer: -126253138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 65 = 2*n + 5*f, 2*f = -5*n + 50. Suppose k = 11 + n. Let b = k + -10. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 - -9.2. Which is smaller: 1.9 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 198939 and 429.\nAnswer: 2188329","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.03 + 0.68. Let l = v - 0.7. Let b = -0.15 + l. What is the second biggest value in 5, b, -2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 506 + -395. Sort -5, j, 1 in decreasing order.\nAnswer: j, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 - 7*b**2 - 7*b - 2. Let c be u(-6). Let s(z) = z**3 + 2*z**2 - z - 2. Let m be s(3). Suppose -k - c*k + m = 0. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 1 - 8395*t**3 + 3 + 1620*t**3.\nAnswer: -6775*t**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 + 85*o**2 - 1374*o - 3294. Determine a(62).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 46, 50, 12, -68, -190?\n\"Answer: -21*f**2 + 67*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**0*k)\/(k\/(k**(-45)\/k)*k) assuming k is positive.\nAnswer: k**(-47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2 - 71*h + 1406. Calculate s(-87).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11064839 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21.64 - 31.64. What is the nearest to q in 1, -1\/3, 0.5, 0?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.3 - -0.2. Let q = -21 - -15. Let t = 5 + q. Sort a, t, -1\/4 in descending order.\nAnswer: a, -1\/4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 240187.\nAnswer: 181, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -2*z**3 - 12*z**2 - 16*z + 1. Is y(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*o**2 - 2*o**2 + 9*o**2.\nAnswer: 31*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of -n**6\/360 + 7*n**5\/120 + n**4\/4 + 17*n**3\/3 + n**2. Let r(i) be the first derivative of b(i). Calculate r(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6172?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 80 + -53. Let i(z) = -4*z - 47. Let x = -262 + 248. Let q be i(x). Calculate the greatest common divisor of f and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2121*h**3 - 59 - h**4 + h + h + 1060*h**3 + 1058*h**3 to the form j*h**3 + k + y*h**4 + g*h**2 + s*h and give k.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6289 is divided by 203?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2020976 - 5*j**2 - 2020976.\nAnswer: -5*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.0707 rounded to 0 decimal places?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -166698732, -333397453, -500096172, -666794889?\nAnswer: -833493604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -8014, -8041, -8056, -8035, -7954?\n\"Answer: 4*s**3 - 18*s**2 - s - 7999","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/(-4))\/((-12)\/11064). Suppose 0 = 5*l + 3*p - 2228, 0 = -l + 5*p + 7 + w. Suppose -5*x = -6 - 9, 2*q - l = -2*x. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 25 = -25. Let q = -6 - f. Factor -8\/3*x**5 + 0 - 2*x**3 - q*x**4 - 1\/3*x**2 + 0*x.\nAnswer: -x**2*(2*x + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 164*p - 116*p = -196*p - 3904 for p.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*s + 0*s + 21*s - 7*s.\nAnswer: 22*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11 - (3 - 4)*-3 and 14?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5068 and 12127.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = 0, 4*a - 3*a = p + 6 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 3*l = -4*c - 16, 0 = c - 2*l - 41. What is the remainder when 55 is divided by c?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*v = -73 + 129. Is (-3733849)\/(-441) - v\/9 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -194790 by -15.\nAnswer: 12986","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 - 4*h + 2. Let p be (4\/(-4))\/((-1)\/4). Let j be l(p). Let x be (-1)\/(0 + 0 - j). Put 0, x, 1 in decreasing order.\nAnswer: 1, x, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 762277 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 18*y - 32 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 n when three letters picked without replacement from {n: 10, s: 10}.\nAnswer: 15\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21 + -200021331?\nAnswer: -200022012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 3*i = i + 1516, i = -5*j + 1865. List the prime factors of j.\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, 21, 31, 39, 45, 49, 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -34\/7 (b) 2.9 (c) 36 (d) 7\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 223*m + 225*m + 229*m + 233*m - 906*m + 13. Let h(f) be the third derivative of f**4\/24 + f**3\/2 + 4*f**2. Determine -26*h(i) + 6*v(i).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 4*w + 6, 3*i - w - 3 = 2*i. Solve -5*a = 4*h + 8, -a - 7 - 6 = -i*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.16307805 rounded to 3 dps?\nAnswer: -0.163","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 48499 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -72886?\nAnswer: -72887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 115 divide 160300?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.1817807 rounded to three dps?\nAnswer: 1.182","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 44, 37, 22, -7, -56, -131, -238, -383?\nAnswer: -572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -o**3*s - 1476*o - 10228*s with respect to o.\nAnswer: -3*o**2*s - 1476","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 78640406303 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 973 - 19?\nAnswer: 954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32334011 (base 5) to base 8.\nAnswer: -1035605","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87 + 199 - 5*o**2 - 458 + 85 + 87 + 4*o**2.\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**4*(k*k*k**0*k)\/k)\/((k*k**(-9)*k)\/k**1))**(-24) assuming k is positive.\nAnswer: k**(-336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 4405, 8812, 13219, 17626, 22033?\n\"Answer: 4407*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 + 5*v**2 - 9*v - 10 + 2*v**2 + 9 + 5. Let u = -222 + 227. Suppose 4*a - 3*a = 5*k + 31, -2*a - u*k - 13 = 0. Determine z(a).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 - (38\/8 + -2). Let o = -15.161 - -14.761. Which is the nearest to 0.3? (a) o (b) v (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 4 - 6)*(2*k - 2*k - 2*k)*(73*k + 573*k - 83*k).\nAnswer: -2252*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1ba + 3e552?\nAnswer: 3e71c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -264\/85, -4\/3, -55\/6?\nAnswer: -264\/85","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (7 + (-11 - -4))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -16516861 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/9, 885, -5, 4, -53, -1, -3\/8?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 3*h + 20, -2*u + 10 = -4*u. Let i = 22.4 - 21. Let x = 1 - i. What is the biggest value in h, 0.3, x?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 30*g**4 + 29*g**3 - 57*g**2 + 10*g.\nAnswer: g*(g + 2)*(5*g - 1)*(6*g - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, s: 7}. Give prob of picking 1 t and 1 s.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 1:47 AM?\nAnswer: 5:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11*f*q*x**2 + f*q*x + 3*f*q - 2*f*x**2 + 2*f*x - 85*q*x**2 - 190*q*x + 2*x wrt x?\nAnswer: 22*f*q - 4*f - 170*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 2 + 4. Let m(h) be the second derivative of h**7\/1260 - h**6\/240 - h**4\/12 - h. Let n(b) be the third derivative of m(b). Give n(l).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 409050 a multiple of 1010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 - -38. Let i be (-86)\/(-5) - (-2)\/(-10). Suppose -z + b = -i. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31680 by 7920.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 8*x - 5. Let y(k) = -k + 1. Let b(g) = 5*y(g) + z(g). Give b(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 - 4*d + 6. Let w be h(4). Let k(s) = 2*s**3 - 6*s**2 + 3*s + 1. Let g be k(w). Suppose 0 = -5*u - 0*u + g. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11801 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85 = 33*y - 547. Sort y, 3, 4, -1, -3 in increasing order.\nAnswer: -3, -1, 3, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -87722510570 - 14?\nAnswer: -87722510584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 71348940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.12 and 12616.3?\nAnswer: -1513.956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21221120011 - 1120?\nAnswer: 21221111121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + -25.7812701.\nAnswer: -40.7812701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(1\/13)\/t**(2\/7)*t*t**(-13)*t*t**(-1\/4) assuming t is positive.\nAnswer: t**(-4171\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 6580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + f + 4)*(4 + 18 - 5) + 0 + f + 0)*(-1 + 0 + 4 + (-3 + 0 + 1)*(3 - 3 - 1)).\nAnswer: 90*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 24 and -4.\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -28 + 13. Let v = 11 + l. Let b = -4 - v. Solve -c = -b*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -593, 3, 9, -3 in increasing order.\nAnswer: -593, -3, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1513*u = 2520*u - 23161 for u.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/32 of a day?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 23100 divided by -165?\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92*k**2 + 11*k**3 + 92*k**2.\nAnswer: 11*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4063 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 50, 73, 102, 131, 154, 165, 158, 127?\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 33.635 + -34. Let f = -0.35496 - s. Let t = 0.01 - f. Round t to four decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of o**8\/15120 - o**6\/3240 - 3*o**3 - o - 1. Let g(d) be the second derivative of x(d). Factor g(t).\nAnswer: t**2*(t - 1)*(t + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 7151 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/4 + 193\/(-36). Let n = k + 16\/3. Suppose 3*q - 4357 = -4*b - 4349, -b + 1 = q. What is the third smallest value in -0.4, b, n?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*v - 0*v, 0 = 2*u - 3*v - 615. Let h = 1509\/5 - u. Which is smaller: h or -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2152.93 + 0.03.\nAnswer: 2152.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5236020 rounded to the nearest one hundred thousand?\nAnswer: 5200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 5*f + 14 = 0, 0 = -3*y - f - 1. Let w = 10 - 16. Let p be (-6)\/9 - (-26)\/w. Sort 4, y, p.\nAnswer: p, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1361321?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1919920 by 1648.\nAnswer: 1165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (56\/10*-1)\/(55\/(9075\/(-66)))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2374, -9991, -22696, -40501, -63418, -91459?\nAnswer: -124636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25 - 8) + (-265 - -254).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of -39*q**5\/20 + q**4\/4 - 109*q**3 - 333*q. What is the second derivative of o(s) wrt s?\nAnswer: -234*s + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 69786.88 milligrams?\nAnswer: 0.00006978688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1b01802 (base 12) to base 7\nAnswer: 66445634","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in twenty-nine halves of a kilometer?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 33*z - 41. What is the units digit of b(14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2571291 is divided by 247?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -3*k + 22. Suppose 0 = -2*u - 4, k*g - 14290 = -3*u + 16359. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58912*a - 117917*a + 17*a**2 + 59005*a.\nAnswer: 17*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7\/2 in 2\/9, 3, 0.3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 216 and 1092?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*h - 3414 - 8436 = 0. What are the prime factors of h?\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22095837*t**2 + 742749*t + 4 wrt t?\nAnswer: 44191674","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 392624333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 4*a = 0. Let z(k) = 4 + 8*k - 4 + a. Let b(f) = -f**2. What is b(z(d))?\nAnswer: -64*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -2*i**3 - 7*i**2 + i - 3. Is j(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 150*o**6 + o**5 + 10*o**4 + 648*o**2?\nAnswer: 18000*o**3 + 60*o**2 + 240*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 75845658?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(475)*-1 + 0)*4 - (-2 + 4*(sqrt(475) + 4 + 4)))**2.\nAnswer: 3600*sqrt(19) + 69300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 126795661.\nAnswer: 59, 139, 15461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -1, 4\/31, -4\/3, -5?\nAnswer: 4\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 37237 * 3.\nAnswer: 111711","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -80\/367 + 32527\/147534. Find the common denominator of x and 69\/10.\nAnswer: 2010","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + -4. Suppose 0*o = 6*o + 12. Is n bigger than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + 9. Let y = -1 + g. Round y to the nearest integer.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1707422035?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4 - 28 + 12*f - 12*f + 2*f**2.\nAnswer: 2*(f - 4)*(f + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -92366745*g*u - 65591524*u wrt g.\nAnswer: -92366745*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 10288*y. Let p(t) = -76532*t. Calculate p(l(s)).\nAnswer: -787361216*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8929*a + 4434*a - 1909 = -4412*a for a.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a factor of 146592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -17 + 8?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (570\/135 - (-4)\/(-18)) + 49 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -294 (base 10) in base 8?\nAnswer: -446","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*r**2 + 18 - 71 - 19*r**2 to the form o + a*r**2 + p*r and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73065623?\nAnswer: 73065623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3590721?\nAnswer: 3, 398969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**7*i)**(2\/39))**17)**(1\/29) assuming i is positive.\nAnswer: i**(102\/377)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of 3 + k**2 - 5\/6*k**3 + 0*k - 1\/24*k**4. Calculate n(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2952051457 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*t = -33*t + 168. What is the tens digit of 1\/(14\/4) - (-206)\/t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -2*-1*sqrt(468) + -2 + sqrt(468) + 2 + -4*(sqrt(468) + -1) + 5 + sqrt(468)*-1 + 0)**2.\nAnswer: -96*sqrt(13) + 1888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1396 - 1375. Solve -s*n + 16 + 89 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 22796816?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 3*x - 13 = 0, -p - 2*x = 4*p - 14. Solve 0 = -2*y + p*y - 10 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -493*o - 1382 = 235*o - 2340 - 25250 for o.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**9)**(-4\/5)\/((g\/g**(15\/4))\/g*g*g\/(g\/(((g**(-1\/16)*g*g)\/g)\/g))))**10 assuming g is positive.\nAnswer: g**(-351\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -114.8 + 114.3. Let w be (4\/(-20))\/((-4)\/10). Let s = -7\/6 + w. What is the fourth biggest value in 0.1, r, -2, s?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 67693?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of -2*o**2 - 1\/3*o**4 + 0*o**3 + 0*o + 0. Give d(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(1331) + 0)**2 + ((sqrt(11) + (0 + sqrt(11) + sqrt(11))*-3)**2 - sqrt(11) - (-5*sqrt(33)\/sqrt(3))**2).\nAnswer: -67*sqrt(11) + 1340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.5 + -3. Let u = n + -0.2. What is the closest to 0.1 in -5, 2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -6.82, -30, 3, 0.01, -1 in decreasing order.\nAnswer: 3, 0.01, -1, -5, -6.82, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 516218, 1032342, 1548398, 2064392, 2580330, 3096218, 3612062, 4127868?\nAnswer: 4643642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 232016287 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) 5\/3 (c) 4\/7 (d) -2\/115 (e) -0.79 (f) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -h**4\/3 - 476*h**3\/3 + 1919*h**2\/3 - 162*h - 960 = 0.\nAnswer: -480, -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 2*v**2 - 14*v - 56. Let n be c(-3). Sort 6, n, -5, 7 in decreasing order.\nAnswer: 7, 6, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 2:35 AM?\nAnswer: 3:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -7*a + 2*a**3 - 3*a**3 + 7*a**2 + 1 + 2*a**3 - 4. What is w(-8)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -333100241 + 0?\nAnswer: -333100241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n**2 - 5*n**2 - n**2)*(-439 + 212 + 215)*(-4*n + 10 - 10).\nAnswer: -144*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -5*c**2 + 4. Let i(r) = -6*r**2 + 5. Suppose 3*u = u. Suppose -11 = 5*s - 3*s + 3*n, u = -4*s + 5*n - 11. What is s*i(l) + 5*f(l)?\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 - 36*n**2 - 860*n - 2071. What is q(53)?\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18166 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -248.12 - -1.12. Let d = m + 247.00000289. What is d rounded to six decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k - 2*k - k**2)*(-5*k**3 + 5*k**3 + k**3) - 4*k**5 + 3*k**5 + 3*k**5 - 2*k**5 + 0*k**5 + 0*k**5.\nAnswer: -k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 82*j - 1165*j - 599 + 599 in the form h + v*j and give v.\nAnswer: -1083","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 188 + -97. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10\/9 or 5\/12339?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.1 + -2.1. Let t = 3.7 + -0.7. Sort -0.5, g, t.\nAnswer: g, -0.5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12492 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 1:02 PM?\nAnswer: 9:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1903, 3721, 5529, 7321, 9091, 10833?\nAnswer: 12541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, o: 4, x: 2}. Give prob of sequence ooox.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 - 2*w + 10. Calculate the remainder when 97 is divided by h(5).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + (-2 - -5) - (-308 + 275)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5 - -9 - 7) + 567. Let w = 565 - l. Solve 8*h + w = 7*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 + -5. Let u = 30 - 27.9. Let s = u - 2.5. Sort 2, 4\/3, s, x in ascending order.\nAnswer: s, 4\/3, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 384911357 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 + 30*h**2 - 203*h + 33. Let g be d(10). Is g greater than 542\/131?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (6 + -38 - -24).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4\/(-5))\/((-4)\/(-20)). Let x(o) = -101*o + 508. What is the least common multiple of 2\/8 - 15\/f and x(5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10019 a multiple of 233?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 52 = -84. Suppose -4*t = -48 - v. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 3000000 = s. What is s rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -186066774*n**5 + 2*n**3 - 460448*n**2 - 117*n.\nAnswer: -11164006440*n**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.581523 litres to millilitres.\nAnswer: 581.523","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 31\/2 of a litre?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b + 10*b + 340 = 2278. Solve b = -10*q + 92 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - -5. What is the closest to k in 3, 4, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000006677034 rounded to six decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1932414.\nAnswer: 2, 3, 11, 19, 23, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 15*n**3 - 47*n**3 + 111 - 55 - 57 - n. Let u be h(-1). Let r = u + -16. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j + 24. Let l(n) = 5. Let p(t) = 11*l(t) - 2*v(t). Let s be p(-7). Let y be (-3)\/s - 4\/(-7). Calculate the highest common divisor of 8 and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1197.96 + -1227. Let x = -29 - l. Which is the closest to 0? (a) -3\/5 (b) -0.5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - d + 8*d - 100176. What are the prime factors of d?\nAnswer: 2, 3, 2087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7\/(21\/(-2)) - 144\/27. Let l(t) = -8*t + 5. Let y(q) = 15*q - 9. Determine i*y(m) - 11*l(m).\nAnswer: -2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 77 = 4*j, 5*q + 38*j - 457 = 40*j. What is the highest common factor of q and 102?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3664115 to the nearest one thousand.\nAnswer: -3664000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 77665.31 years?\nAnswer: 7766.531","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3380329418.\nAnswer: 2, 3307, 511087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -20*a**2 + 6*a - 5. Let g(f) = -6*f**2 - f + 1. Give -d(r) - 4*g(r).\nAnswer: 44*r**2 - 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 4*4\/8.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of f**8\/420 - 2*f**7\/525 - f**6\/75 + 2*f**5\/75 + f**4\/30 - 2*f**3\/15 + 10*f**2. Suppose t(a) = 0. What is a?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51629053.\nAnswer: 7, 7375579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 12:41 AM?\nAnswer: 3:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 12310 * 14281\nAnswer: 175799110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(441\/(-14))*21\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/4 (b) 7 (c) -15\/131\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 9, 3 in descending order.\nAnswer: 9, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3727, 4000, 4465, 5128, 5995, 7072, 8365, 9880?\n\"Answer: n**3 + 90*n**2 - 4*n + 3640","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -14873470\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the second derivative of 5*o**3\/6 + 5*o**2\/2 + 8*o. Let b(l) = 3*l + 2. Let k(u) = -10*b(u) + 4*c(u). Let m(q) = 2*q. Determine k(m(d)).\nAnswer: -20*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 1 = -4*v + 15, -3*v + 12 = 2*t. Let f(a) = 5*a - 4*a - t*a + 0*a. Let r(s) be the third derivative of s**5\/60 + s**2. Calculate f(r(o)).\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 121.8 and -2862.\nAnswer: -348591.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -101111102110 (base 3) in base 6?\nAnswer: -4232320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*z + 110 = 6. Let w(k) = -27*k**2 - 21*k. Let u(f) = -3404*f**2 - 2645*f. Let t(b) = z*u(b) + 253*w(b). What is the second derivative of t(j) wrt j?\nAnswer: -46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13, -5, 9, 29?\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 583405*c**2 - 1166803*c**2 + 583398*c**2 + 308*c**3.\nAnswer: 308*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the third derivative of -1\/15*c**5 + 0 - 70*c**2 - 5\/24*c**4 + 0*c + c**3. Let j(z) = 0. Calculate z.\nAnswer: -2, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1461073 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8218276?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17 - -28. Let y(w) be the first derivative of w**3\/3 - 4*w**2 - 11*w + 1. Let c be y(d). Calculate the highest common factor of 132 and c.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 3*o = 8. Suppose 5 = 2*j + 3. Sort o, j, 4 in decreasing order.\nAnswer: 4, j, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.4, -251, -4, -0.7, 3, -0.01?\nAnswer: -251","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -22 divided by -37\nAnswer: 22\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/((h*h**(-4))\/h*h)*h*h**(2\/9)*h)\/(h*h**1\/h)**34)**(-4\/7) assuming h is positive.\nAnswer: h**(964\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by -51?\nAnswer: 8\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xnxnnnxnhngixgz. Give prob of sequence zg.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -134, -1.68, -1, -7\/2, 5.\nAnswer: -134, -7\/2, -1.68, -1, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2736) - (sqrt(2736) + (1 + sqrt(2736) - sqrt(2736))))*-5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, 49, 102, 177?\nAnswer: 274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 116140 - 6112?\nAnswer: 110025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (48\/20)\/6*(-15)\/(-21)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + -1469822394?\nAnswer: -1469822383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 10*u**3 + u**2 - u. Calculate h(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 52*s**4\/7 + 59964*s**3\/7 + 2465932*s**2 - 14658108*s\/7 - 2663432\/7 = 0.\nAnswer: -577, -2\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 9 = 2*b. Suppose -2*f + 14 = 5*i, 2*f - 12 = b*i - 7*i. Solve -2*l + 2*l**f - 5*l**2 + l**2 = 0 for l.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l. Let a(p) = -8*p**3 + 6*p**2 + 9*p + 6. Let x(i) = -8*i**3 + 7*i**2 + 10*i + 7. Let v(t) = -7*a(t) + 6*x(t). Calculate 2*c(y) + v(y).\nAnswer: 8*y**3 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 112*i**5 - 99*i**5 - 23*i + 68*i + 100*i + 185*i**5 wrt i.\nAnswer: 3960*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 2*n + 7461 = 0, 5*w - n - 5194 = 2264. What is the greatest common divisor of w and 105?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 AM and 1:14 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 60774546?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 PM and 4:13 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 - 6*n**2 - 2*n + 5. Let h be v(-6). Let b = -15 + h. Suppose -34 = -4*z + b. Is z a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v. Let k(o) = -4*o - 13. Let b(p) = -k(p) + 3*z(p). Is b(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(363) + (sqrt(363) + 0 + -5 - sqrt(363)) + sqrt(363) + (3*sqrt(363)*-1 - sqrt(363)) + -4)*1.\nAnswer: -22*sqrt(3) - 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -1 - 6 - 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 AM and 9:28 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(-21) + (-37)\/(-7). Let q = 9527 + -9526. Solve r = 2*d + q for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -11, 1, 3428, 5, 2, -1 in descending order.\nAnswer: 3428, 5, 2, 1, 0, -1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of 0 + 1\/10*d**5 + 0*d**4 + 11*d**2 + 0*d**3 + 0*d. Let a(b) be the first derivative of -b**2 + 9. Calculate w(a(c)).\nAnswer: 24*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4652 - -4657. Solve -7 = 3*z - i*f + 19, 16 = -4*z + 2*f for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27326524 a multiple of 195?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*f + 2984 = 2544 for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 3*q**2 + 100*q + 1236. What is the remainder when i(-12) is divided by 461?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*a - 2*s + 4*s + 1, -4*s = -5*a - 13 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = -6*r + 2*o + 108 - 4, 58*r = -35*r + 5*o + 625 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 105565 and 1505.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.569 - -0.5. Let v = -0.361 + o. Let j = 0.654 + v. What is j rounded to two decimal places?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 2*v - 12 = 0, 131*c - 129*c - 3*v - 18 = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -b9d (base 16) to base 8\nAnswer: -5635","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 34764 times 765\nAnswer: 26594460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -85 - -33. Let f = -51 - u. Which is the nearest to f? (a) -5 (b) 5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-10)\/g)**(-31)\/(g**(-4\/11)*g**7))**47 assuming g is positive.\nAnswer: g**(172866\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 - 6*j + 9. Let b = -2 - -17. Let d = b - 9. What is the units digit of o(d)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 917718?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 62 - 44. Suppose 0 = 3*g + r - 63. Is 12 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 24 + 3?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v**3 + 6*v**3 + 2*v**3 + 0*v**3 - 9*v**3.\nAnswer: -4*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1151412 + 27?\nAnswer: -1151396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, s: 4}. What is prob of sequence wsw?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k**4\/7 - 100*k**3\/7 + 572*k**2\/7 + 100*k\/7 - 576\/7 = 0.\nAnswer: -1, 1, 9, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - k**2 + 17 + 15 + 6.\nAnswer: -k**2 + 42","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a microgram in nanograms?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4930394, 9860794, 14791198, 19721606, 24652018, 29582434, 34512854?\nAnswer: 39443278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 467805?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 PM and 5:09 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - l - 2, 0 = -7*y + 4*y + 4*l + 1. Let z(a) be the third derivative of -a**4\/8 - a**3\/6 + a**2 - 34*a. What is z(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = -2*k, 9 = 4*t + 4*k + 1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13662b (base 14) to base 4.\nAnswer: -2203300133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 75, 254, 551, 966, 1499, 2150, 2919?\nAnswer: 3806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yxyuyuyuyyxybuybu. What is prob of picking 2 y?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 102 + 57. Let v = w - 85. Suppose 5*i - 14 = -p + v, -2*i + 5*p = -46. Is 6 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -643970*n**2 + 472864057*n.\nAnswer: -1287940","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 94 - 95. Let s = -8\/53 - -2153\/1272. Calculate the common denominator of -2 + (p*284\/(-88) - -2) and s.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Work out -0.11333335772 - -945.\nAnswer: 944.88666664228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**2\/4 + 6*z + 21\/4.\nAnswer: 3*(z + 1)*(z + 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.01 + -1.01. Let k = -0.1 + -0.4. Sort -0.1, k, n in decreasing order.\nAnswer: -0.1, k, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 PM and 12:34 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ar when two letters picked without replacement from {a: 3, r: 2, t: 6, g: 2}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a gram in micrograms?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + 48. What is the highest common factor of 11 and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-15 - -21)*1\/(-20)\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18742.\nAnswer: 2, 9371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 22*l**4 - 143*l**3 + 76*l**2 + 31*l - 35. Let f(z) = -12*z**4 + 71*z**3 - 38*z**2 - 15*z + 15. Let q(x) = 14*f(x) + 6*t(x). Solve q(n) = 0.\nAnswer: -2\/9, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/((-63)\/(-3)))\/1?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.04 + 3.04. Let f = m - 2.8. Let j = f - 0.2. What is the closest to 0 in -0.5, j, -0.1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-7 - -11)*(1 - 2). Let p(u) = -u - 2. Let a be p(w). Sort -3\/2, a, -0.3.\nAnswer: -3\/2, -0.3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12\/(-2 + 80\/44). Let s be (13\/4)\/(z\/72 + 1). Let g(m) = 20*m**2 - s*m**2 + 21*m**2. Let r(y) = -17*y. Give r(g(k)).\nAnswer: -34*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-273)\/(-63) - (22\/(-6) - -3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 + 9*f + 10. Determine w(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a millimeter in nanometers?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 + 0 + (262 - 210)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/4 of a litre in millilitres?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1211100121010 (base 3) to base 6\nAnswer: -32453303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -465\/7*a**4 + 4824\/7*a + 4308\/7*a**2 - 9*a**5 + 54\/7*a**3 - 1728\/7 = 0.\nAnswer: -6, -8\/3, -2, 2\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*j - 17*j + 241 - 177 = -376 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 125467 and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + -3. Let b(y) = -24*y + 79. Let g(v) = 11*v - 37. Let t(p) = -8*b(p) - 17*g(p). Determine t(i).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of -r**7\/120 + r**5\/60 - 2*r**3 + 7. Let d(w) be the third derivative of k(w). Find the second derivative of d(s) wrt s.\nAnswer: -42*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-7)\/(-4)*20\/14. Let v = 65 + -69. What is the nearest to 1\/4 in v, 9, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10885 (base 11) to base 5.\nAnswer: 1000302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 123 + -107. Solve 4*x + 4*l = -b, -2*l + 5 = -2*x - 3 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 234*c**2*o - 2*c**2 - 115*c*o - 13*o - 115870 wrt o?\nAnswer: 234*c**2 - 115*c - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 14, q: 4}. What is prob of sequence oooo?\nAnswer: 1001\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -g, -3*g + 2*g = -2*s + 31. Solve 4*d = 5*v - s + 40, -3*v - 3*d + 3 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -26*r**3 + 26763*r**2 - 9250*r - 11320. What is z(1029)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1767\/38)\/(-31)*(-48)\/(-18).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 440859547 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 41 - -2. Suppose 55 = 2*v - 5*r, 3*v = 5*v - r - h. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (35\/(-28))\/((-1)\/12). Let f be x\/175 + 4 + -4. Sort -4, -0.4, f.\nAnswer: -4, -0.4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 233692?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2*h**2 - h + 1. Let z(f) = -6*f**2 + 2*f - 2. Let x(o) = 2*l(o) + z(o). Let c(m) = 154*m + 158*m - 310*m. What is x(c(t))?\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z*z*z\/((z*z*z**3*z)\/z))\/z*z**(-1)*(z\/z**(1\/4))\/(z*z\/z**(1\/11)))**(-5\/7) assuming z is positive.\nAnswer: z**(695\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 14\/35 - 13\/(-5). Let h(t) = -t**3 + 7*t**2 + 14*t - 5. Let k be h(7). Let b = k + -78. Solve -c*d + 0*d = -b for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -40*t**2 + 9*t - 8. Let k(y) = 60*y**2 - 13*y + 12. Determine -5*k(u) - 7*w(u).\nAnswer: -20*u**2 + 2*u - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -63 - -193\/3. Let f = -186.98 + 1.98. Let z = f + 184.6. Which is the third biggest value? (a) l (b) z (c) 2\/7 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1452\/(-297))\/11*(-1)\/(-4).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -211 and 5.\nAnswer: -1055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -47.2101821 rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 54597464 to the nearest integer?\nAnswer: 379","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*u - 4. Let o(w) = u - 3 - w. Let y(j) = -5*j. What is y(o(i))?\nAnswer: 5*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/5 (b) -0.25 (c) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 8*z**2 - 30*z + 25. Let v be o(11). Suppose 3*i - 3*u - v = 0, 4*i + 3*u + u - 860 = 0. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(1\/4))**(-1\/3)*c*((c\/(c*c**8))\/c)\/c*c\/(c*c**(1\/5)) assuming c is positive.\nAnswer: c**(-577\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 43680007 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -3*p**3 - 2*p**2 + p + 2. Let q be a(-1). Suppose 0 = q*x - 8, -2*m - x + 10 = -m. Solve -3*w = 5*r + 37, 4*r + 40 = w - m*w for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (6*b - 5*b + b)*(4*b**2 - 4*b**2 + 2*b**3)*(-240 + 116*b + 240).\nAnswer: 464*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.80599986 rounded to 2 dps?\nAnswer: 3.81","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -4*g + g + 33, 5*q = 2*g + 28. Suppose 4*h - 198 = 66. What is the greatest common divisor of h and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -3\/5 (b) -1\/6 (c) -120486\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -15*k**3*v**2 - k**2*v**2 - 333*v**2 - 3 wrt k?\nAnswer: -45*k**2*v**2 - 2*k*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11693712 and 1469232?\nAnswer: 8592","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in one tenth of a millennium?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1111111011 (base 2) to base 9\nAnswer: 1352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -41*k - 11. Let y be p(-1). Let v(f) = -y*f + 7*f - 40 + 17 + 12 + 12. Let j(h) be the second derivative of h**4\/6 + h. What is v(j(n))?\nAnswer: -46*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q - 8 + 128. Is q a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 46 * -0.28\nAnswer: -12.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of -1\/2*y**2 + 19\/30*y**6 + 0*y**3 + 0 + 32*y + 0*y**5 - 1\/42*y**7 + 41\/12*y**4. Find the third derivative of t(i) wrt i.\nAnswer: -60*i**2 + 456*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(2) + 0 - sqrt(2))*5 - (-4 + ((sqrt(2)*3 - sqrt(2)) + 3 - sqrt(2) - sqrt(2))**2).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16905374 to the nearest integer?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in sixty-four fifths of a litre?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of -31*x**3\/6 + 3*x**2\/2 - 17*x + 2. Let t(l) be the first derivative of p(l). Is t(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6.4 + 3.4. Let p = 10 - l. Let d = -5.3 + p. Round d to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4*(-3)\/30)\/((-5)\/25). Solve 0 = 6*v - 16 - m for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 8*g**3 + 2*g**2 - 6*g - 7. Let k(b) = b**3 - b - 1. Suppose -4*f = 3 - 7. Let n(p) = 2*p - 1. Let y be n(f). Give y*m(d) - 6*k(d).\nAnswer: 2*d**3 + 2*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 375 divide 12000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000009668 rounded to seven dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 3*f**3 + 73*f**2 - 2*f**3 + 18*f - 92*f**2 + 2. Let k be n(18). Sort 0, 5, k.\nAnswer: 0, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 66, 3, 4, -1 in descending order.\nAnswer: 66, 4, 3, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -60*q**2 - 177*q + 7. Determine o(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-3*-1*sqrt(114) + -5*(sqrt(114) - sqrt(114)*-1))\/((sqrt(168)\/(sqrt(4)*2))\/sqrt(7)).\nAnswer: -14*sqrt(19) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 203550*j**3 + j**2 + 2*j + 1. Let n be (-1 - -2) + 0 - 2. Let z be y(n). Let s = z + 293550. Round s to the nearest 10000.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 538.0803 millilitres to litres.\nAnswer: 0.5380803","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide (36\/14)\/(24\/504)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*l + d, -21 = -4*l - l - d. Let w = l + -3. Suppose -a - c + w = -0*a, -3*a - 4*c + 3 = 0. Solve 4*z = -3*k - 6 + 34, 40 = a*k + 5*z for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of -7*i**4\/12 - 7*i**3\/6 + i**2 + i + 24. What is m(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*f - 78 = 126 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 6981?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17078?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2\/21 + 25052*o\/21 - 14320\/3.\nAnswer: 2*(o - 4)*(o + 12530)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*g**2 - g**3 + 2 + 0*g + 14*g**2 + 5*g to i*g**2 + k*g + c*g**3 + o and give k.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -5*b - 2*c, -1 = 4*b + 3*c - 5 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22619 = 1475*v - 40806 for v.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 26 = 5*s, 5*s + 23 = -2*x + 3*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 214*c = 4*k - 216*c + 24, -5*c = -333*k - 1983 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 12 + 4d28c?\nAnswer: 4d29e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 260.0668 micrometers in meters?\nAnswer: 0.0002600668","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20*s**2 + 0*s - 23*s**2 + 12*s wrt s?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1885 or -1?\nAnswer: 1885","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2 - 9*h - 12. Let d be s(-8). Let t = d - -6. Let x(f) = 10*f**2 + f - 2. Let p be x(t). Calculate the highest common factor of 16 and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 3:04 PM?\nAnswer: 3:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -19 (b) -0.3 (c) 0.3 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 10, -0.1, 0.02, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 - -11. Calculate the common denominator of a + 2\/((-102)\/(-71)) and -45\/8.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (0 + sqrt(243))**2*3*5*-4*-5 + 3.\nAnswer: 72903","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 25 and 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 + 6*d**2 + 4*d - 13. Determine j(-6).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3919 - -21563. Is 6 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 272 = 88*v - 54*v for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 15) to base 9\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*x + 4*x - x + (4*x - 2*x - 3*x)*(2 + 1 + 1) - 5*x + 2*x + 4*x + (0*x - 6*x + 3*x)*(-1 + 0 + 0) - 6*x + 5*x + 6*x to d*x + v and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -32 + 23. Let l = 13 + k. Suppose -3*y + 173 = l*p, 0*p - 2*p - 106 = -2*y. List the prime factors of y.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -z + 5. Suppose 0 = -z*d - 20, -3 = -x + d + 2. Is x*((-1)\/(-1) + 29) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1102 is divided by 138.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 364\/416 + 19513\/(-10744)?\nAnswer: -16\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 16\/3, 0.2, -3\/5.\nAnswer: -3\/5, 0.2, 2, 16\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 37\/2 - 19. Which is the third biggest value? (a) 4 (b) 5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4298?\nAnswer: 2, 7, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (30\/20)\/(18\/141096).\nAnswer: 2, 5879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 64 = 44. Let m = 79\/3 - v. What is the biggest value in m, 0, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -9*v + 3. Let x be j(-1). Let f(a) = -a + 9. Let m be f(x). Let i(p) = -2*p. Let t be i(-1). Put -7, m, t in increasing order.\nAnswer: -7, m, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -169, -641, -1941, -4483, -8681, -14949, -23701?\n\"Answer: -69*r**3 + 11*r - 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 - (-2 - -5) - 1*-2. Let q be (-16)\/(-6) + b\/(-6). Suppose -4*a + q*n + 264 = -n, n - 318 = -5*a. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*l + 25 = -79. Suppose l*m - 29 = -13. Solve o - 5 = -m for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -4274.\nAnswer: 2\/2137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1f7 - dcdb?\nAnswer: -dae4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*f - 6*f - 20 = -a, 4*f = -3*a + 27. Suppose 3*p - a*n - 23 = 13, 0 = 3*p + 2*n - 36. Solve v - 5*c - 24 = 0, -2*v + 4*c + p = 3*c for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 5*j + 1. Suppose 3*c = 2*x - 21, 2*c + 0*c - 34 = -4*x. Let h = x - 5. Let u(t) = t - 5. Let w be u(h). Determine i(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 811.3063 + -812.5. Let u = m - -4.993868. Let f = 3.8 - u. Round f to five decimal places.\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -i + 1608, 38*p - 9 = 41*p. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2 - 8*a - 4. Let n = -45 + 54. Let i be l(n). What is the third smallest value in 2, i, 9, 1\/4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -15*o**2 - 5*o - 2. Let c(a) be the first derivative of -7*a**3\/3 - a**2 - a + 220. Calculate -7*c(g) + 3*h(g).\nAnswer: 4*g**2 - g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.14951 - 4?\nAnswer: -4.14951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - ((3 - 1) + -2)) + -2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2*v)*(-3*v**2 - v**2 + 2*v**2) + 0*v**3 + 0*v**3 + 2*v**3 - v**3 - 2 + 2 - 3286*v + 3286*v + 30*v**3.\nAnswer: 35*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*l**3 + l**3 - 20*l**3 + (-2 + 2 + l)*(1 - 1 - l**2) + l**3 - 6*l**3 + 2*l**3 - 11*l**2 + 5*l**3 + 11*l**2.\nAnswer: -12*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -44*j**2 + j. Let m = -1 - -2. Let f be s(m). What is the common denominator of f\/6 - (4 - 2) and 47\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3970?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 46040673?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 23 = 33. Calculate the common denominator of 834\/462 - h\/7 and 17\/7.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 6*o - 37. Suppose -z - 36*g = -o*g + 4792, -2*z - 3*g - 9569 = 0. Round z to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 2\/13, 11, 186 in ascending order.\nAnswer: 2\/13, 0.2, 11, 186","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 453 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -239*j**5 - 602*j**3 + 25*j**2 - 97898459*j?\nAnswer: -4780*j**3 - 3612*j + 50","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 172605817 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*a**2\/5 + 2173188*a\/5 + 8692688\/5 = 0. Calculate a.\nAnswer: -543293, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 80 = 2*a, 0 = -2*k + 2*a - 7*a + 64. What is the remainder when 64 is divided by k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -429*g**3 - g. Suppose -36*s + 41*s - 2*i - 101 - 67 = 0, -4*i + 24 = 0. What is the remainder when p(-1) is divided by s?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(-2) - (-25)\/70. What is the second smallest value in -7, 1\/3, s, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6514 divided by -1?\nAnswer: -6514","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) 1 (c) 2 (d) -4086\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -2036741 != -10183709\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-12)\/(-10)*((-99)\/(-27) - 2). Let k be 0\/o*1 - (82 - 88). Solve 0 = g - k*g + 10 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-2*(sqrt(3328) - (2 + 2 + sqrt(3328))) + 0)*-4 + -3)**2.\nAnswer: 24649","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 2*t**4\/7 - 1748*t**3\/7 + 112834*t**2\/7 - 220432*t\/7 + 109344\/7 = 0.\nAnswer: 1, 68, 804","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28121488.\nAnswer: 2, 61, 28813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -358*j + 364*j = 6. Let m(a) = -165*a**2 + 64*a + 6. Let c(r) = 2*r - 1. Let x(z) = j*m(z) + 6*c(z). Find the second derivative of x(t) wrt t.\nAnswer: -330","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -971 - -981. Let p(z) be the first derivative of 0*z**2 + c - 8*z + 2\/3*z**3. What is the first derivative of p(s) wrt s?\nAnswer: 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10031557*u**3 - 10031580*u**3 + 20063140*u**3 - 2*u + 7*u**2 + 2*u - 7*u**2.\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28912 divided by -1.\nAnswer: 28912","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 119 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -1, -23, 0, 4\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/26182 and -73\/4.\nAnswer: 52364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 10436141 to the power of 1\/2, to the nearest integer?\nAnswer: 3231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 1656?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -4, 1.9, 0, 4\/43?\nAnswer: 4\/43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 27*l**2 - 23*l - 134. Is x(-9) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/4*(-3440)\/(-11610).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 978?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*i**4 + 23*i - 134 wrt i.\nAnswer: 12*i**3 + 23","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, -15, -30, 5, 8 in ascending order.\nAnswer: -30, -15, -5, -1, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3667, 3673, 3673, 3667?\nAnswer: 3655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (7 - 2) - (-6 - -5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/(z*z**0*z))\/z*z)\/(z\/z**(2\/11)))\/(z**0\/z**2)*(z\/z**(-4\/5))\/(z**(-3\/2)\/z)*(z**(1\/2)*z)**(-11\/3) assuming z is positive.\nAnswer: z**(-56\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 952*n**2 + 3234*n + 41. What is z(-3)?\nAnswer: -1093","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15149130?\nAnswer: 2, 3, 5, 277, 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**2\/(x\/(x\/((x\/(x**(-2)\/x))\/x))))**(-2\/3))**31)**(-4\/31) assuming x is positive.\nAnswer: x**(-8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1838, 8, 4, -186 in descending order.\nAnswer: 8, 5, 4, -186, -1838","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -71, 49, 251, 535, 901?\n\"Answer: 41*x**2 - 3*x - 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 594 and 72?\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 5*s - 30. Suppose 80 = 10*u - s*u. Find the first derivative of -u*i + 2 - 5 + 13 + 1 wrt i.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 (base 9) in base 10?\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 + t. Calculate b(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 - 20*m - 52. Give f(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1011112685.\nAnswer: 5, 11, 41, 448387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 111 + -104. Suppose -u*g + 54 + 58 = 0. What is the remainder when g is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9639*j - 4812*j - 4827*j - 10013*j**2 + (4*j + 0*j - 2*j)*(3*j + j - 2*j) as t*j**2 + d*j + b and give t.\nAnswer: -10009","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11984355 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 2:33 AM?\nAnswer: 6:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/4 in 1, 5, -5\/4, -0.2?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, b: 5, f: 9, x: 3}. Give prob of sequence xrxx.\nAnswer: 1\/6460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 41111859?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -21*f**4 - 9374*f**3 - 3172*f**2 + 176504*f - 49952 = 0.\nAnswer: -446, -14\/3, 2\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = 6*m - 52, 342*d + 6 = -m + 345*d for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -62 divided by -1?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 166825 (base 9) to base 3\nAnswer: 12020220212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s*s**(8\/5))\/s)\/s*s**(-6)\/s)**(4\/5))**(-2\/15) assuming s is positive.\nAnswer: s**(256\/375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -37 by 37.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-6)*(-3)\/(-14).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 9*k**2 - 10*k - 12. Let j(p) = -19*p**2 + 21*p + 26. Determine -6*j(z) - 13*x(z).\nAnswer: -3*z**2 + 4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -233, -215, -175, -101, 19, 197, 445, 775?\nAnswer: 1199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = 4*j + 5*n, j - 50 = -2*n - 63. What is the fourth smallest value in 3, 0.3, j, -5, -0.85?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 120 is divided by 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - 3. Let u(i) = 6*i + 51. Let m be u(-11). Let k be 6\/m - (-13)\/(-5). Put d, k, -8 in descending order.\nAnswer: d, k, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = -a + 7, 2*a - 51736 + 51799 = 5*q for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1430 is divided by 495?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 294199 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 132176889.\nAnswer: 3, 13, 1129717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1570, -1635, -1686, -1717, -1722, -1695?\nAnswer: -1630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5 - (-196)\/91) + 6\/(-39). Let x be 3 - (v - 9) - 2. Sort x, 0, -4.\nAnswer: -4, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -37 or -39?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28365 is divided by 2341.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9600 - 388*a - 520*a - 234*a**2 - 3*a**3 - 3412*a.\nAnswer: -3*(a - 2)*(a + 40)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 3*(0 + 0 + sqrt(2448)).\nAnswer: -3 + 36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from {h: 10, r: 10}.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -11, -93, 1, 0.04, -2\/13, 2\/141?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*n**2 - 30*n**2 - 28*n**2 - 7*n**3 + 85*n**2.\nAnswer: -7*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -445.539 to the nearest ten.\nAnswer: -450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 77, 79, 83, 89, 97, 107?\n\"Answer: t**2 - t + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -4. Let r(f) be the first derivative of f**3\/3 - f**2\/2 + f - 59. Determine r(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*r + 116 = -4*y + 81*r, 5*r = -15. Is -64 <= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 177 and 3974712.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 83 - 78. Suppose 0 = -7*r + y*r + 8. Suppose -5*g - 9*m + 6*m + 814 = 0, r*m = -8. List the prime factors of g.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -5 + 5 + -3*1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -111.66675 * -4\nAnswer: 446.667","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5497 - 5601. Let x(n) = 84*n**2 + 52*n + 52. Let m(d) = 5*d**2 + 3*d + 3. What is l*m(p) + 6*x(p)?\nAnswer: -16*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 62250b (base 12) to base 2\nAnswer: 101110111101001011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 276924801 and 2862765?\nAnswer: 4153872015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, w: 8, c: 2, f: 1, y: 1, m: 1}. Give prob of picking 1 y and 1 d.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*z + 41*z = 40. Suppose -g - 309990 = z*g - 5*u, -5*u = 5*g + 310010. What is g rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of 0*x**4 + 0*x**5 + 0*x**3 - 2 - 9\/2*x**2 + 13\/6*x**6 + 0*x. What is the second derivative of t(q) wrt q?\nAnswer: 260*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -71*s - 48. Let p be f(-3). Suppose -p*k - 189 = -172*k. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s = 10*s - 34. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (-6 + 9) - -2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 - -11)*((-8)\/(-2) + -2). Suppose 6*n - d = -0*n. What is the remainder when 23 is divided by n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -3 + 0*s + 2 - 2*s**2 + s. Let x(h) = h**3 - 9*h**2 - 9*h - 2. Let c be x(10). Suppose f = -2*r - 4*f - c, -3*f - 6 = 0. What is y(r)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 96*w**2 + 0*w**2 - 27 + 115 wrt w.\nAnswer: 192*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 - 9. Let h = -4 + d. Let p = 76 + -381\/5. Put -0.4, h, p in increasing order.\nAnswer: h, -0.4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 176*w. Let l(t) = -3*t**2 + 32*t + 34*t - 66*t. Give l(y(j)).\nAnswer: -92928*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-15)\/9)\/(1\/(-9)). Suppose 22*s - 287 = r*s. Find the third derivative of -447*b**3 + 45*b**2 + 447*b**3 - s*b**5 wrt b.\nAnswer: -2460*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2045717 is divided by 2045413.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -1. Let a(d) = -109*d + 437. Let c be a(4). Let q(n) = -n + 9. Calculate c*q(b) + 3*i(b).\nAnswer: -b + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -190 or -58?\nAnswer: -190","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 311 + -186. What is the remainder when s is divided by 43?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -221*c**3 + 74*c**3 - 107*c**3 + (-3*c**2 - 2*c**2 + 4*c**2)*(-c - 1 + 1).\nAnswer: -253*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/(-44) + (-48)\/(-22). Suppose -4*k = -5*m + 11, -3*k + v*m = m. Which is the closest to -1? (a) -5\/3 (b) k (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*m - 3*c - 7, 28 + 2 = -6*c for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/3 (b) 0.4 (c) -55 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a + 7. Let s be i(7). Suppose s*l + 4*l - 5*j + 111 = 0, 0 = -4*l - 5*j - 81. Let f = 8 - l. Solve -2*m = -g + 5, -f + 1 = 4*m + 5*g for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -148*p**2 + 399*p**2 - 120*p**2 - 185*p**2.\nAnswer: -54*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + 12221?\nAnswer: 12210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 20 + 2*k - 15 + 3*k. Let h = -1 - -7. Is d(h) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110119 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q + 112*z = 117*z - 90, 0 = 3*q + z - 39 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -151 * -1.86.\nAnswer: 280.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 250065 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: What is 68938 to the power of 1\/2, to the nearest integer?\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 24 - 72. What is the remainder when x is divided by (-3)\/(15\/2) - 2784\/(-160)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 5*n. Let r(z) = -40715*z. Determine r(b(o)).\nAnswer: -203575*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are -4.893 and 1.413 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 + 31*g**2 + 2*g - 64. Let x be s(31). Sort 1, 9, x in increasing order.\nAnswer: x, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 19178770 and 3688225.\nAnswer: 95893850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q + 9*q = 4*k + 29805, 0 = -3*q + 5*k - 89517. What is q rounded to the nearest 1000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y + 16. Let c be a(16). Let g(p) = -2*p**2 + 2*p**2 - p + c*p**2 + p**2. Let b(m) = m. Calculate b(g(t)).\nAnswer: t**2 - t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -59577896 divided by 1.\nAnswer: -59577896","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -19? (a) -2\/7 (b) 6.8 (c) 0.2 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -14312 (base 12) in base 10?\nAnswer: -28094","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 - -5. Let m(t) = -38*t - 3. Is m(z) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/22090 smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 14, 7, -4, -19, -38, -61, -88?\n\"Answer: -2*r**2 - r + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1244482 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -90 + 91. Let h(r) = -x + 3*r - r - 4*r. What is h(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 136*k**2 - 110*k + 553. Is 12 a factor of f(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -1 + 2 - 5\/4\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 3 = 5*h - 0, 3*h = 5*a - 5 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 7 = 2*a - 37, 0 = -c + 4*a - 24 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 313873 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3 + 1 - (-470)\/(-110))\/(30\/(-20)). What is the nearest to -1 in 3, 5, x, -1323?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/4 of a year?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 3*l - 2. Let q(n) = n. Suppose -4*g = 2*i + 8, 0*i + 4*g + 32 = 4*i. Suppose -4*s - 2*a - 26 = 0, -4*a - 12 = -i*s + 2*s. Calculate s*q(u) + r(u).\nAnswer: -u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -10 divided by -490\nAnswer: 1\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.73 + -62.73. Let t = 62.079505684 + -0.079548684. Let y = t + x. Round y to five dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17305145 is divided by 78.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.64464 * 47.\nAnswer: -77.29808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 358, 727, 1102, 1483, 1870, 2263?\nAnswer: 2662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 2 h when four letters picked without replacement from {s: 3, m: 4, h: 3, f: 7, d: 1}?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-3\/7)*r\/((r**(-2\/15)\/r)\/r))**(-1\/58)*((r**(-1\/5)*r)\/(r**5\/r))\/((r\/(r*r**(-5\/2)))\/r**(4\/3)) assuming r is positive.\nAnswer: r**(-8959\/2030)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 159631814 to the nearest integer?\nAnswer: 542","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*j = -30*j + o + 19, -13 = 2*j - 3*o for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 663574898 to the nearest integer?\nAnswer: 25760","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 + 6*m**2 - 2. Let v be t(-6). Let g be (-1)\/(v - (0 - 3)). Let y be -2 + (-156)\/(-4) + g. What is the greatest common factor of y and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -119 - 547 - 103*v + 659 to s*v + g and give s.\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.34 - 1.84. What is the nearest to -0.2 in -3, 1, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -353*w**2 + 34*w + 1.\nAnswer: -706","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*g + 3 + 12 = 26*g, -5*l - 5*g - 35 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -341+0.3\nAnswer: -340.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -79\/627 + 2\/57. Let n be 24935\/15 - (1 - 0). Let f = 1644 - n. Find the common denominator of k and f.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 1 + 0*z + 5 - z + 2*z. What is o(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1411, 5786, 17519, 40246, 77603, 133226, 210751?\nAnswer: 313814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*q + q**3 + 0*q**3 - 3*q)*(4*q**2 - 5*q**2 + 28*q**2).\nAnswer: 27*q**5 + 54*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxtxxxxxtccx. What is prob of sequence cx?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-42)\/12)\/((-35)\/(-70))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 8 + -16 - -7.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 798 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, -16, 0.3, -3\/2, 1\/4, 8\/43?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, j: 2}. Give prob of sequence jvj.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 5*t + 78. Let g(a) = -a**3 - 32*a**2 - 119*a - 130. What is the remainder when g(-28) is divided by (t\/4 - 2)*-2?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -76, -132, -188, -244?\n\"Answer: -56*o - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.04 + 1.96. Let f = -1.97 + l. Let k = 0.03 - f. What is the second biggest value in 2\/7, k, -0.4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 divided by 117255?\nAnswer: -22\/117255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 700 and 44240.\nAnswer: 221200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2580 and 1075938?\nAnswer: 462653340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 2*u**3 - 4*u**2 + 168*u - 32. Does 116 divide k(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-3)*(-72)\/(-6). Let r = 5 + m. Let w(y) = -35*y - 28. Let l be w(-2). What is the greatest common factor of l and r?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.4 and 76858821.\nAnswer: 76858821.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 2*p + 11. Let g be i(-5). Let t(b) = 2*b**2 + 3*b - 2. Let u be t(g). Suppose -2882184 - 40317816 = u*z. Round z to the nearest one million.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and -15.18?\nAnswer: -15.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + 3*sqrt(99) - (sqrt(99) - ((sqrt(99) - (sqrt(99) + 1)) + 4)))*-4)**2.\nAnswer: 384*sqrt(11) + 6400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 133*x - 990. Let l be z(7). Is l at least -179\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10101221 + -2?\nAnswer: -10101223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69029 is divided by 71.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - t - 183 = 0, 178 = -4*r - 2*t - 0*t. Let k = 59 + r. Suppose -7*s + k*s = 560. Calculate the remainder when s is divided by 38.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 19 = -3*o - 5*d, 2*d - 6 = -o. Suppose -50 = -o*q - 2*q. Suppose -q*t = -3*t - 48. What is the highest common factor of 60 and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*n**4 - 4 + 3 + 2 + (3*n**3 - 5*n**3 + 4*n**3)*(-n + 5*n - 2*n).\nAnswer: -10*n**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4302278 is divided by 2151104.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6487 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fr when two letters picked without replacement from ncycyffkrryyrfr.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 5*f + 4*w + 3 = 0, -2*f = 3*w + 2. Let h be f*6\/(-15)*255\/17. Solve -5*c - 5*z - 10 = 0, -2*c - h*z = -z + 7 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.9 - 0.1. Let k = -12 - -25. Let s = k + -8. What is the second smallest value in 1, s, w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 PM and 3:31 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -2*c**2 - 4*c - 2. Let g(h) = 3*h + 3. Let x be g(2). Let k = 2 + -13. Let j = x + k. What is s(j)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -53 + 158\/3. What is the fourth biggest value in -1\/2, x, -1, -0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 68 + -3fa1?\nAnswer: -3f39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -29 - -20. Let i = r + 7. What is the nearest to 1\/4 in 1\/5, i, -1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 856096\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -195 + 194.9. What is the third biggest value in 92, t, 1\/4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 181 divide 170136742?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 49992?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1086?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen ninths of a day in minutes?\nAnswer: 3040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 2 + 14. Let o = 0 - -2. Suppose -o*u + 6*u = 0. Solve -r*t = -u*t + 16 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 18 + 12 = -3*y, 3*y + 22 = x for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 2 = -4. Suppose -d + 2*q = 3, -d + q + 9 = p*q. Solve d*m = 3*l, 2*m - m - 2*l - 1 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + n + 7407, -3*y + 6465 = n - 948. What is the highest common factor of 95 and y?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16560)\/164220*(-21)\/18.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -24251*q**2 + 2*q + 203057 wrt q.\nAnswer: -48502","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 4*(0 + 2*sqrt(288) + (-1 + sqrt(288))*6) + (sqrt(288) - (-2 + sqrt(288))) + 1 + sqrt(288) + 1 + -4 + 2)**2.\nAnswer: -18216*sqrt(2) + 314161","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*k = 1494 - 1739 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) -0.1 (c) 2 (d) -2\/9 (e) 0.2 (f) 9\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1588258 divided by -8?\nAnswer: 794129\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - w - 4*v - 16 = 0, 4*w = -v - 4. Suppose -o + 8*o - 8491 = w. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -800 + 800 + 1021381*f.\nAnswer: 1021381*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 0*p - 2*p + 3*p + 7*p. Let n(q) = -62*q**2. Let s(f) = 17*f**2. Let y(l) = -8*n(l) - 31*s(l). Give h(y(d)).\nAnswer: -248*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*q**4 + 20*q**2 + 2009.\nAnswer: 20*q**3 + 40*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*c**3 - 3 - 10*c**3 + 3.\nAnswer: 5*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (317 - 261 - (3 + 34))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 49053716*x**4 + 33323835*x**2 wrt x.\nAnswer: 1177289184*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 102003001020 + 2?\nAnswer: 102003001022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1155 + 1194. Calculate the remainder when 1944 is divided by j.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -5*n**2 - 43*n - 6. Let x be v(-8). Let w(p) = 2*p - 6. Let r be w(6). Let f be 56\/r - (-3)\/(x\/4). What is the greatest common divisor of f and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10101110 (base 2) in base 11?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -17*l + 618. Calculate t(37).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 732 a factor of 282418776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 71578, -1, 4, 0, -38 in descending order.\nAnswer: 71578, 4, 0, -1, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6532.069 rounded to the nearest ten?\nAnswer: 6530","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 - 5*a**2 + 2*a + 20. Give d(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.894346 centimeters to meters.\nAnswer: 0.00894346","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 1 - 4 + (-1 + 1 - 1)*(-2 + 4 + 2))*(0 - 4*u + 0) in the form n + p*u and give p.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand k + 3*k - 2*k + (1 + 0 - 2)*(3*k + 0*k - 2*k) - 2*k + k - k - 51*k + 45*k - 78*k.\nAnswer: -85*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/17000, 7, 5\/31?\nAnswer: -1\/17000","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102*k + 103*k = 208*k - 42. Calculate the highest common factor of k and 987.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 AM and 2:45 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.065 * 4.\nAnswer: 0.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6798 + -6428. What is the remainder when a is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 13) to base 2\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -292e7 (base 15) in base 5?\nAnswer: -13213132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 979 + 231 = 0. Suppose 466 = 4*t - j. What are the prime factors of t?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of -7*z**5\/60 + 5*z**4\/24 + z**3\/3 - 19*z**2 + 26*z. Let h(s) be the first derivative of f(s). Factor h(o).\nAnswer: -(o - 1)*(7*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -365681 + -18?\nAnswer: -365699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - -6) + -22 + 17?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 287*h - 1 + 1.\nAnswer: 287*h - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 3*f**3 - 563*f**2 + 358*f + 3079. What is o(187)?\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i + 83 + 35 - 74)*(-9 + 9 - 13).\nAnswer: -39*i - 572","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 1904688*q**3 - 3*q**2 + 26*q - 88. Let l be n(4). Round l to the nearest one million.\nAnswer: 122000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -3*r + 4*r - 3 + 19. Let t be p(-6). Solve 4*w - 2*n + 16 = -6*n, -3*n = 5*w + t for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.6, -3, 6, -1\/49 in decreasing order.\nAnswer: 6, -1\/49, -0.6, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2 - 48*o - 14. Give x(-42).\nAnswer: 238","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1287838000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 184 less than or equal to 180?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h + 8. Let k be b(0). Suppose 3*f = 4*u - 8, u - k*f + 4*f - 2 = 0. Let y(t) = 5*t**3 - 2*t**2 + t + 1. Is y(u) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -2*t**2 + t - 1. Let l(u) = -21*u**2 + 9*u - 9. Let w(q) = 4*l(q) - 36*s(q). Let b(p) = -635*p. Determine b(w(z)).\nAnswer: 7620*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -2*u - 8. Let c(r) be the second derivative of -r**3\/6 - 4*r**2 + 2504*r. Give 3*b(l) - 4*c(l).\nAnswer: -2*l + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -16648?\nAnswer: 1\/16648","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = r, r = -2*j + 6*r + 3. Let p = 23 + -159. Let f be (-2)\/3 + p\/(-51). Solve 0 = -t + j - f for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8.957 + 1.753. Let x = 0.29 + c. Let h = x + -11.00000135. What is h rounded to seven decimal places?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -5*f**3 + 130*f**2 - 125*f = 0.\nAnswer: 0, 1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 19104 and 22686.\nAnswer: 362976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26.72 + 13.8168. Let p = x - -12.9. What is p rounded to four dps?\nAnswer: -0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -450038 = -450879?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -114351.\nAnswer: 22870.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 11\/3, 3, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w - 5*w**2 - 3 + 5 - 3*w**3 + 0*w + 0. Let x be j(-2). Suppose 3*i = x*i - 10. Solve -i*b - 35 = 5*u, 2*u + 6 = -4 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5982228 and 5127624.\nAnswer: 35893368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 divided by 4.\nAnswer: 23\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7\/2 in -3, 2\/3, 29?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((0 + sqrt(192) - sqrt(36)\/(2*sqrt(12) + sqrt(12)))*5 + (-1*(sqrt(3) + -2) - (sqrt(27) + 0))))**2.\nAnswer: 4944*sqrt(3) + 127452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -72, -86, -134, -234, -404, -662?\nAnswer: -1026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 3*z - b - 6 = 0, 3*z - 5*b = -5 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 21\/2 (b) -3 (c) -544\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 4 = -2*m. Let p = 4 - m. Let i(t) = t**2 + 2*t - 2. Let r be i(-3). Solve -3*l + r + 8 = p for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one tenth of a week?\nAnswer: 60480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 4 = -5*f + 6*f, 0 = -3*p - f - 16 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*d + 14 + 3*d + 205 - 227 to j + q*d and give j.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111642 is divided by 464?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r - 1. Let a(s) = 2*s**2 + 3*s + 1. Let q = -34 - -70. Let b be q\/28 - (-2)\/(-7). Determine b*a(t) + 3*i(t).\nAnswer: 2*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3594 - 3590. What is the third smallest value in p, 2, -3, -9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 617286.7 (b) -2\/9 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(245) - sqrt(245)*-6*-4))**2.\nAnswer: 3240125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 3404*j**5\/3 + 3590*j**4 + 9040*j**3\/3 - 3460*j**2\/3 - 2660*j - 2846\/3 = 0.\nAnswer: -1, 1423\/1702","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 87509 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 15 = -v, 4*k - 41*v + 26*v + 20 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 168553 a multiple of 121?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of -12*z**7\/7 - 9*z**4\/4 + z**3\/2 + 88*z**2 + 2. What is the second derivative of m(x) wrt x?\nAnswer: -4320*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 45, -12, 77, -4 in decreasing order.\nAnswer: 77, 45, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 471e1 (base 15) to base 13.\nAnswer: 7c17a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.04 - -2899\nAnswer: 2898.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-4)*(2 - (-190)\/25)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000224 rounded to 4 decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 PM and 2:42 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -133*j**3 + 3643*j**2 - 1537997*j wrt j?\nAnswer: -798*j + 7286","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(162) - sqrt(162)*3 - 3*sqrt(14)\/sqrt(7)) + -5 + 4 + (sqrt(2) - (sqrt(2) - sqrt(4)\/sqrt(2)*4)))**2.\nAnswer: 34*sqrt(2) + 579","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -7, 3.4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.7 - 613.579932.\nAnswer: -612.879932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x - 5*x = -3*q, 9 = -2*x - 3*q. Suppose -3*h - x*o = -0*h, 5*h - 40 = 3*o. Differentiate h*z**2 + 19 - 7*z**2 - 2*z**2 - 2 with respect to z.\nAnswer: -8*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 56429 to the nearest integer?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/4 of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6.86 + 7. Let n = z - 17.14. Let v = 19 + n. Which is greater: v or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3 (b) 2 (c) -1\/2 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*w - 12695 + 12695.\nAnswer: -63*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*x**2 + 65*x**2 + 58*x**2 - 11*x**2)*(2 + 258*x**2 + 2*x**3 - 258*x**2 + 8*x).\nAnswer: 206*x**5 + 824*x**3 + 206*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -208 = 5*t - 203, -5*z - 4 = 4*t for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 88, 337, 744, 1303, 2008, 2853, 3832, 4939?\n\"Answer: -m**3 + 85*m**2 + m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.21 and 12248.55.\nAnswer: 2572.1955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 2 - (-7570 + 1) - (-113 - -116)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 8157*n + 154974. Determine v(-19).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 6603 (base 11) to base 6\nAnswer: 104203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 173596?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -38 and -205.\nAnswer: 7790","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 + 11*y - 5. Suppose 3*s - 2*s = 10. Let o be b(s). Let p(l) = l**3 - 3*l**2 - 7*l + 1. Let k be p(o). Solve -d - 3*d = k for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 788 + -804. Let f be (n\/(-36)*3)\/(44\/33). Sort 4, 2, -20, f in increasing order.\nAnswer: -20, f, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28 and 37296.\nAnswer: 37296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2904936 and 3024?\nAnswer: 366021936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k - 8. Suppose -9*r - 21 = -48. Suppose r*q + 15 = -5*c, -6*q + 10*q + 2*c = -20. Determine j(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffllllfllolo. Give prob of picking 2 f.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 4 - 4 = -4*j, -2*j + 4*n = 0. Let w(b) = -b**3 + 3*b**2 + 4*b - 2. Let t be w(j). Let l(o) = o + 1. Let r be l(t). Which is smaller: -2 or r?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 8. Let b = 1.21 + -1.41. What is the closest to -1 in 2, m, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.81933 less than 15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 290802.\nAnswer: 2, 3, 17, 2851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of ((-3)\/(-2))\/(4333\/1442 - 3) and 12?\nAnswer: 1236","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (1 + sqrt(704))*2)**2*6.\nAnswer: 960*sqrt(11) + 17046","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/25 of a kilometer in centimeters?\nAnswer: 36000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = -2*c + 2, 2 = -5*c + h + 7 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 55 = -2*w - 4*a, 3*w - 3*a - 60 = 0. What is the remainder when 1\/4 + (-1035)\/(-36) is divided by w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -15*u + 98. Give a(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -7 - q - 2*q - 2*q. Let b(n) = -4*n - 6. Suppose -12*l + 46 = -5*g - 16*l, -2*l = -4*g - 16. Calculate g*z(d) + 7*b(d).\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -5*c**2 - 39*c + 110. Give f(-10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7551?\nAnswer: 3, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 973735?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 198475? (a) -6 (b) 4 (c) 0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 2 z when four letters picked without replacement from nznnnznz?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 120 and 23106.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -6307, -6196, -5893, -5302, -4327, -2872, -841, 1862?\n\"Answer: 16*v**3 - v - 6322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11799\/4 - 2943. Factor 0 - 27\/4*d**5 + 0*d + 1\/4*d**2 - 9\/4*d**3 + t*d**4.\nAnswer: -d**2*(3*d - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4100341 (base 5) in base 6?\nAnswer: -1224133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 12) to base 10\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -2*h - 3160, -5*h + 12*z - 11*z = 7876. What is the hundreds digit of (h\/(-8))\/(1\/2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-10\/9)*x)\/(x*x*x\/(x\/(x\/(x\/(x**(-2\/27)*x))))))\/(x**(2\/5))**(-3\/16) assuming x is positive.\nAnswer: x**(-2119\/1080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 2*i**3 - 54*i**2 - 10*i + 12. Let u(p) = -p**3 + 65*p**2 + 11*p - 15. What is 5*d(j) + 4*u(j)?\nAnswer: 6*j**3 - 10*j**2 - 6*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4\/9, 0, 5, 2.4, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 AM and 11:56 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77669759 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (22\/5)\/(4 + 114\/(-30)). Let s(o) = -19 - 9 - 10 - w*o. What is the hundreds digit of s(-11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a - 25. Let c be g(0). Which is greater: -2 or c?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*h + 792 - 792.\nAnswer: 36*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.063 + -0.063. Which is the closest to 0.5? (a) 4 (b) 10 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-316)\/(-10) - 14\/(-35) - -2. Which is smaller: -2 or r?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2\/7 (b) -22 (c) -0.4 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - 34471?\nAnswer: -34465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 6*v**2 + 7*v - 4. Let x(j) = -j**2 - j - 1. Calculate -p(d) - 5*x(d).\nAnswer: -d**2 - 2*d + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 - -2) + 8 + -12. Let h = 0.09432 - -0.20568. What is the nearest to -9\/5 in 9, h, d?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7866 - 7866. Solve -2*g = 5*z - 20, -4*z + 15*g - 10*g - 17 = m for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11*(-19)\/(-418)*2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001100000111101111 - 110011?\nAnswer: -1001100001000100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18 by 1.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000101000001111 (base 2) to base 8.\nAnswer: 105017","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -142198680, -142198679, -142198678?\n\"Answer: c - 142198681","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00016561539364 rounded to seven decimal places?\nAnswer: 0.0001656","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuaelbhllehl. What is prob of sequence aeee?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -327*p - 3325 = -6922 for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 3) to base 4\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.24 - -68.24. Let v = x - 172. Let g = v + 104.99999829. Round g to 7 decimal places.\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 908?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 AM and 11:46 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from zbzbxfxxxbrzrbfbzzx.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 594656091?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/19)\/(2184\/55328)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/2 and -0.1476 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is eight fifteenths of a millennium in months?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(18))**2 - -2*(2*sqrt(2))**2 - (-3*sqrt(18)*-4)\/sqrt(9).\nAnswer: -18*sqrt(2) + 35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6.3 + 6.299999986. Round o to 7 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - 0. Suppose 11 = -2*u - 1. What is the smallest common multiple of a and (27\/(-12))\/(u\/16)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 PM and 9:23 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 12 - (38 - 35).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 f, and 1 a when three letters picked without replacement from hgttttaahhffattsat.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 12.40037 to 0 dps.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15*j**3 + 21*j**3 + 844*j**2 - 849*j**2 + (2*j**3 + 2*j**3 + 2*j**3)*(0 + 1 + 2).\nAnswer: 54*j**3 - 5*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -46\/6687 and -49\/4458.\nAnswer: 13374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vz when two letters picked without replacement from {y: 10, v: 4, z: 5}?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -2 - (-30 - -26).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 75705, 605767, 2044539, 4846377, 9465637?\nAnswer: 16356675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 + 6*f**2 + f + 7. Suppose -62 = -2*i - 5*v, i - v = -4*i + 128. Let n be (-9 + 0)*i\/39. What is the remainder when 3 is divided by t(n)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 880537699 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 + 5 = 3*i. Let n be 2\/((-4)\/(i + -52)). Let j be n\/154 + 163\/11. Solve 3*f + j = -0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -5*c + 4. Let m(o) = 6*o - 4. Calculate -4*m(b) - 5*s(b).\nAnswer: b - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 PM and 7:27 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**4 + m**3 - m**2 - 1. Let j(o) = 16*o**4 + 12*o**3 - 12*o**2 - 4*o - 12. Let p(s) = -12*f(s) + j(s). Find the second derivative of p(g) wrt g.\nAnswer: 48*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 183*a**3\/2 - 189*a**2\/2 + 3*a = 0. What is a?\nAnswer: 0, 2\/61, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 162*q + 179. Let y be g(-4). Let t = y - -473. Solve -2*l - 2 = -2*m, 5*l = 3*m - t*m + 1 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 644198 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 - 2*q**2 + q + 2. Let h be y(-2). Suppose 0 = -2*f - h*f + 20. Is f a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -127 + 186. Let h = -59.049 + d. Round h to 2 decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(-5))**(-8\/5))**(-3\/28) assuming j is positive.\nAnswer: j**(36\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 32662 divided by -4666?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-nine quarters of a litre?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1420477?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (1\/(-3) - (-3 + 2)) + (-6092)\/(-6) and 32?\nAnswer: 4064","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 6:44 PM?\nAnswer: 3:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 172*(4\/(-4))\/(-6)*-3. Let s = 59 - f. Is s a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*q**2*u**2 + 18951*q**2*u - 3*q**2 + q*u - 3329057*q + 2*u**2 wrt q?\nAnswer: -14*u**2 + 37902*u - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -169*t + 201*t = -490 + 1930. Let k be (-234)\/(-3) - (4 - 1). Calculate the greatest common divisor of k and t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15\/14 + -11\/14. Let g = -348 + 2442\/7. Determine m so that i*m**2 + 4\/7 - g*m = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppp when three letters picked without replacement from cppcpppppepcpccccpcc.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + (-11 - -20) - (-22 + 4 + -1).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -537 divided by 3\nAnswer: -179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 45792?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 362*b**2 + 97. Let n(q) = q. Determine n(j(f)).\nAnswer: 362*f**2 + 97","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/7? (a) 31.3 (b) -0.12 (c) 90\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) - (1*sqrt(117) + 2 + sqrt(117))) + sqrt(117) - (sqrt(117) + -1)*-4)**2.\nAnswer: -144*sqrt(13) + 1908","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -p**2\/9 + 21863*p\/9 = 0.\nAnswer: 0, 21863","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lxflfnnxqhlffnfhxhxn. What is prob of picking 2 h?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7188 + -6986.04. Round g to zero dps.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -10*q - 51. Determine i(-1).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -131 and -11?\nAnswer: 1441","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 m when two letters picked without replacement from zzzmzzlozuzz.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -1638 to the nearest one hundred.\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 1465 divide 5906775?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 305366863 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 15) in base 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -4\/3, 56\/3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 494367?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 29135 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*k + 44*k = 38*k + 100 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 68698536 divided by 596\nAnswer: 115266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, q: 1, f: 1}. Give prob of picking 1 q and 2 i.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qxuvrlv. Give prob of sequence urq.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 - 21. Let g = q + 15. Let v = g - -17. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 4*t = -4*i + 15, 10 = 2*i - 5*t. Let v be (14\/8)\/(2\/32). Suppose -5*u = -12 - v. Solve -i*x + u = -x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 p when two letters picked without replacement from ppppepefeepppfeeae?\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 27, -12, 6, -1, 1, 9 in decreasing order.\nAnswer: 27, 9, 6, 5, 1, -1, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -74.392 to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-8\/3)*d*d*(d*(d\/(d\/d**29*d))\/d*d)\/d)\/(d**(20\/3)\/d**(-2)) assuming d is positive.\nAnswer: d**(56\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2871110911 to the nearest integer?\nAnswer: 53583","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*5\/(10\/(-6)). Suppose r*k - h - 143 = 0, k = -0*h + h + 51. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7391519 or -7391521?\nAnswer: -7391519","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1527, 1569, 1593, 1593, 1563?\n\"Answer: -t**3 - 3*t**2 + 58*t + 1473","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/25 less than or equal to 32587?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -3*o + 6. Let g be b(2). Suppose g*t - 5*t = 0. Suppose 2*q - 2 = t, -5*n + q + 4222 = -2562. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -3 - 6. Suppose 2*q + q = 4*m + 15, 5*q + x*m - 25 = 0. Solve q*b = -5*k - 20, 0*b = -5*b - k - 24 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19385279?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**24\/(h**(1\/5)\/h*h) assuming h is positive.\nAnswer: h**(119\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8, 27, 58, 101?\nAnswer: 156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1386070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4468 - 32870 - 3402 - 35 - 3898)*(q - 2 + 2) in the form p*q + f and give p.\nAnswer: -44673","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -3*u**2 + u. Let o(h) = h**2 - h. What is -2*o(s) - y(s)?\nAnswer: s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a tonne in grams?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.6 - 1.6. What is the third biggest value in -1, k, 2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6376 = -27*s - 5971 for s.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124 - 131 = -m. Solve 0 = -m*y + 8*y - 2 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/1836324 and 113\/2360988?\nAnswer: 16526916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -14, -5, -3, 6, -1\/4, 1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**4 + 41664*j**3 - 217152672*j**2 + 1734555904*j.\nAnswer: -2*j*(j - 10412)**2*(j - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of g**4\/4 - g**3\/3 - 3*g**2\/2 - 2*g + 3. What is the units digit of z(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12171 and 19477657?\nAnswer: 4057","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -669 = g - 659. Let w(k) = 7*k**2 - 47*k - 13. Is w(g) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 20*r**4 + 1536*r**3 + 35472*r**2 + 229568*r + 443904 = 0.\nAnswer: -34, -24\/5, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3616 a multiple of 226?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaaa when four letters picked without replacement from {a: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 - (-1 - -1) - -3. Suppose r = y*o - r + 14, 5*r = 10. Calculate the remainder when 28 is divided by (o*(0 - 2))\/1.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + 1 + (0 - -3).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4 + 2 + 0 + 3. Is 2 + a\/(3\/90) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -30611.\nAnswer: -5\/30611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -72 and -304.1?\nAnswer: 232.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -109, -90, -45, 38, 171, 366?\n\"Answer: 2*a**3 + a**2 + 2*a - 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 99624 divided by 6\nAnswer: 16604","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -5*w**3 + 12*w**2 - 6*w - 70. Let f(s) = -4*s**3 + 10*s**2 - 5*s - 70. Give 6*f(z) - 5*x(z).\nAnswer: z**3 - 70","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35112116?\nAnswer: 2, 13, 51941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15*(-336)\/980)\/((-6)\/(-63)).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4343, 4339, 4335, 4331, 4327, 4323?\nAnswer: 4319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 4*p**2 + 149*p + 13. Let s(t) = 5*t**2 + 150*t + 15. Calculate 6*m(i) - 5*s(i).\nAnswer: -i**2 + 144*i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -42*v + 45*v + 2 + 5*v**2 + v**3 + 3*v**2. What are the prime factors of b(-4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 + 4*j**2 + 9*j - 11. Let s be v(5). What is the third derivative of -2*u**3 + s*u**2 + 11*u**2 - 16*u**2 - 24*u**4 + u wrt u?\nAnswer: -576*u - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 558 is divided by -8 - (0 + -1 - 215 - (59 + -64)).\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1585860 is divided by 39646?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 1315*c**2 - 52*c**3 - 4 - 665*c**2 - 667*c**2 in the form s*c**2 + o + q*c + h*c**3 and give s.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*j - 2*n, -5*n = j - 2*j - 12. Suppose -j*l = -365 - 220. Suppose 2*b + b - l = 0. Is b a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 29*r**2 + 3*r. Let p = 16 + -18. Let t be b(p). Calculate the greatest common divisor of t and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3739.4 * -9.\nAnswer: 33654.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 AM and 7:53 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*2*sqrt(243)*3 + -1)*5*-4.\nAnswer: -2160*sqrt(3) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kblkrzlry. Give prob of picking 1 y, 1 r, and 1 z.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 + -68.9357679?\nAnswer: 251.0642321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-16)\/(-56) + 19\/(-42). Which is the nearest to 1\/6? (a) -2\/7 (b) u (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 25, 49, 71, 91, 109, 125?\n\"Answer: -f**2 + 27*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 6, x: 3, b: 4, u: 1, t: 1}. Give prob of sequence fub.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pf when two letters picked without replacement from iafipiffiifap?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 322110 + -152459. Let k = c + -1556750\/9. Let f = k - -3329. What is the common denominator of 68\/33 and f?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/8 + 3\/4. Is 2 != x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -2*b**2 - b. Let l(q) = -7*q**2 + 20*q - 9. Let y(r) = 3*r**2 - 9*r + 4. Let x(v) = 4*l(v) + 9*y(v). Give -2*p(w) + 3*x(w).\nAnswer: w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 11 = -2*t + 2, -5*t - 4*d = 0. Suppose 20 = -3*b + 13*b. Let m be (8\/(-10))\/((-2)\/10). Solve -g + 3 = -u + 2*g, -b*u - t*g + m = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-1) + 1 - 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c + 34. Let k be a(-32). Suppose -4*r + 23 - 3 = 0. Sort -1, r, k in ascending order.\nAnswer: -1, k, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1 + 2.9. Is 4 < w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 301563\/24130 - -31\/12065. Find w such that 5\/2*w**5 + r*w**4 + 0 - 25\/2*w**2 - 10*w + 15\/2*w**3 = 0.\nAnswer: -4, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -69207408, -69207407, -69207406, -69207405, -69207404?\nAnswer: -69207403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 328263, 657046, 985829, 1314612?\nAnswer: 1643395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -193*h + 878. Calculate i(5).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 82 and 43378?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*a**2 + 2*a**2 + 4*a**2 + (-5 + 581*a + 59 - 55)*(-a + 3*a - 5*a).\nAnswer: -1742*a**2 + 3*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 10) in base 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -5*q - 2*n, 2*q + 2*n + 16 = 7*q. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -161362.5 to the nearest 100.\nAnswer: -161400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 57978 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 12:21 AM?\nAnswer: 9:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16\/5 + -134\/45. Let m = -205.1 + 214. Let g = m + -9. Which is the closest to g? (a) -2\/11 (b) f (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2170570117 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 1 - 2*s**2 + 8*s + 3*s**2 + 5. Does 3 divide o(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + (2 - 1) - 54\/(136890\/(-27755))?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15.567 + -0.073. Let m = 112.46 - t. Round m to the nearest 10.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 14 = -f - 2*d, 4*f = -d + 56. Is 14 at least f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 80 and 288?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 3:37 AM?\nAnswer: 1:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -36635480 rounded to the nearest one million?\nAnswer: -37000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113 = 5*i - f, 3*i + 2*f = -93 + 20. Let w = i - -56. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*h - u + 5, -5*u - 3 = -3*h. Let b = 7 + h. Calculate the remainder when (-1 - -20)*(0 - -1) is divided by b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -2*l**2. Let i = -267 + 269. Let q(w) be the second derivative of -i*w + 0 + 1\/6*w**3 + 0*w**2. Give q(x(m)).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 2)*(4 + 2 - 3 + (0 + 2 - 3)*(5 + 0 - 3))*(-1 + z**4 + 1).\nAnswer: -z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*s - 10, -5*s = 2*i - 4 + 14 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + -122?\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 19*u + 14 - 19 - 3.\nAnswer: -19*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*b**3 + 4*b**3 - 3*b + 3*b**3 - 7*b**3 wrt b.\nAnswer: 42*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1081 and 2491.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 2:05 AM?\nAnswer: 1:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(154)\/(sqrt(14)\/sqrt(2)))\/(sqrt(2) - ((sqrt(10) - sqrt(90))\/sqrt(5) - sqrt(2))).\nAnswer: sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 189 and 651.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/100 of a millimeter in micrometers?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.162 - -3.062. Let g = 0.08 + -8.08. Which is the fourth smallest value? (a) -2 (b) u (c) g (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14707015 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001851 to 7 decimal places.\nAnswer: -0.0000185","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4\/19 (b) -2 (c) 32475 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 12 = n. Suppose 0 = 3*a + 2*a. Suppose a = 5*f - 5*b + 25, 5*b - 4 - 21 = 4*f. Solve n*t = -f + 8 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f - 8. Let y(c) = 10*c + 3. Let h(q) = -r(q) - 3*y(q). Let w(d) = -6*d. Determine h(w(z)).\nAnswer: 174*z - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 7*u = 6*k + 2263, 1136 = -2*k - 2*u. Let f = -567 - k. Let p = 5 - 1. Solve 3*h = 4*v - p, -f + 0 = -3*h + 2*v for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-5)\/(-20))\/1)\/((-1)\/(-2)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*a + 12 + 14 = 0. Let o(t) = -6*t**a + 12 - 22 + 11. Determine o(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.03 - 378197517.\nAnswer: -378197516.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-6 + 7 - 4) + -1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1575 and 4275.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -4594, -9198, -13810, -18430, -23058, -27694?\n\"Answer: -4*o**2 - 4592*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 566245189 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 35*u**2 - 20*u - 20. Let d(l) = 3 + 904*l - 449*l - 452*l - 5*l**2. Calculate 20*d(f) + 3*j(f).\nAnswer: 5*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 + 6*c**2 + 6*c + 8. Let a be x(-5). Suppose -3 = a*d, 3*d + 171 = 4*w - 0. What are the prime factors of w?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - u - 14 = -6, 5 = -2*z - u. Let y be (179 - -4) + (-1)\/z. Calculate the highest common divisor of y and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 4*s + 7. Let q be -9*((-24)\/(-9))\/(-4). Let i be u(q). Suppose i = 5*m - 14. Solve -2*j - m = j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -185075*z - 25123*z**3 + 185075*z.\nAnswer: -25123*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -4*u - 13. Let m(g) = g + 3. Let n(h) = 2*b(h) + 9*m(h). Suppose 16*l = 15*l + 2. Suppose l*y + 5 = 2*k + 19, -2*y + 18 = -4*k. Determine n(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 4*s + 10, -2*s - 12 = -2*t. Let x(j) = j**3 - 8*j**2 - 14*j - 22. Let r be x(t). What is the greatest common factor of r and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**5 - 17*s**4 + 65*s**3 - 72*s**2 - 51*s + 105. Let o(i) = -i**5 + i**4 - i**3 + i - 1. Let t(h) = -3*o(h) + v(h). Let t(q) = 0. Calculate q.\nAnswer: -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -47 + 55. Is ((-931)\/(-28))\/(2\/q) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 6*j**2 + 8*j - 34. Let n(y) = 2*y**2 + 3*y - 11. Let k(h) = 6*f(h) - 20*n(h). Solve k(z) = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1292.9991033 - -1293. What is v rounded to five dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (-7 + 1 + 2 - -4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g - 2. Let j(p) = p**2 + p - 1. Let r be j(1). Let z(w) be the first derivative of w**2\/2 + w + 48. Let v(s) = r*z(s) + y(s). Calculate v(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 11*s**2 + 364*s - 2174. Give m(-38).\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22 (base 16) to base 12.\nAnswer: 2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3*2*sqrt(156) - 4*-1*sqrt(156))*4)\/(sqrt(12) - 5*-1*sqrt(12) - -2*sqrt(48)))**2.\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/11, 2, -1\/2, 0.5, 113\/777, 2\/9, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of v**4\/3 + v**2\/2 + 6*v. Let h be t(1). Suppose -2 = -5*l - 7. What is the nearest to -0.2 in 1\/4, l, h?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2. Let b be l(2). Suppose 3*f - 3*g = 129 - 42, b*g - 84 = -4*f. Suppose 0 = n - 6*n + f. Solve n*u = 3*j + 22, -u + 3 = -2*j - 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times -5.217184?\nAnswer: -1.5651552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-18)\/72 - 234\/(-8). Let z = -30 + b. What is the units digit of z*(-46 - -3) + -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12645163 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 402 is divided by 29?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 15, 67, 155, 279, 439?\n\"Answer: 18*i**2 - 2*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 + r**2 - 2*r + 2. Suppose i = -3*t + 4, -2*t = i - 1 - 3. Let m be x(t). Calculate the common denominator of -9\/8 and 123\/(-12) - m\/(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 3*d + 5*l + 665 = 0, 3*d + 2*l - 414 = 0. Suppose 0 = 5*y - 4*u - 2 - 19, -3*u + 3 = 0. Suppose -1436 = -y*n - d. Is 26 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13966?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 5*h = -16, -4*l + 3*h + 1 = 6. Let f(t) = -1. Let v(i) = i**2 + 8*i + 3. Let g(x) = -5*f(x) - v(x). Let k be g(-8). Is l at least as big as k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -2*m - 12, -2*z - 28 = -4*z + 5*m. Suppose z*g - 32 = -4*x, -x = -4*g + 23 + 9. Let y = 43 + 21. What is the greatest common divisor of g and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - (0 + -2)) + 1*2. Suppose 196 = 2*r + p*w, -w - 301 = -3*r - 0*r. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.16, 2, 0.5191, 0, -2, 0.3?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-4))**(-28)*t**11*t*t\/t**10 assuming t is positive.\nAnswer: t**115","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -361, -2555, -8517, -20131, -39281, -67851, -107725?\nAnswer: -160787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -16 + 1255*q + 1230*q - 2476*q. Calculate g(8).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80 is divided by 78.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-63 + 44 + 181)*(-l**3 - 3*l**3 + 6*l**3).\nAnswer: 324*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*w**2 - w**2 - w**2 + (-3 + 1 + 0)*(w**2 - w**2 - 2*w**2) + 2*w**2 - 7 + 3 + 3.\nAnswer: 8*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 3*t - 8. Let s = -4 + 13. Suppose 0 = 2*i - r - s, -i - 4*r = -6 - 12. Is f(i) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -3*q**2 - 3*q + 7. Let b(x) = -5*x**2 - 5*x + 15. Calculate 4*b(m) - 7*r(m).\nAnswer: m**2 + m + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-101)\/12120*-210*(-114)\/(-63)?\nAnswer: 19\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 o when two letters picked without replacement from {o: 1, c: 1, r: 2, v: 3}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 20244 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: Calculate the remainder when 451052908 is divided by 2134.\nAnswer: 2132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7135276 milligrams in kilograms?\nAnswer: 0.0000007135276","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5720531051 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 126356, 126670, 126970, 127256, 127528?\nAnswer: 127786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 + -8. Suppose -5*w = 4*p + 6 + k, -p - 10 = 4*w. Let q be 5\/2 - w\/2. Solve -l = -5*i + 25, 3*i - l = -q*l - 3 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of -i**5\/90 - i**4\/18 + 4*i**2\/9 - 4*i + 1. Let w(r) be the first derivative of m(r). Factor w(a).\nAnswer: -2*(a - 1)*(a + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-91)\/(-14))\/(2\/4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1932\/1472)\/((-2)\/(-8)) - (-9)\/12?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -81, 88, -67?\nAnswer: -67","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/4518 and 47\/476649?\nAnswer: 953298","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -5*p + 8. Let d be (-4)\/2*(-28)\/(-8). Let z(x) = -11*x + 15. Let b(g) = d*l(g) + 3*z(g). What is the derivative of b(n) wrt n?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -127 times 1\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1221443044 (base 5) to base 15.\nAnswer: 3caa19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*v = 7*v - 3*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 - 20. Let s(f) = -3*f + 1. What is the tens digit of s(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.126 in 12, -4, -95?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 358 is divided by 91?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11302843 is divided by 5651416?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}