diff --git "a/data/dm_maths/full_data_1/1774_11255.jsonl" "b/data/dm_maths/full_data_1/1774_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1774_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Which is the nearest to -1\/4? (a) 0.4 (b) -195 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -342490 to the nearest ten thousand.\nAnswer: -340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -30*m**2 - 2*m + 149. Let f(j) = -5*j**2 + j. Suppose 15*y - 30 = -45. Let q(d) = y*a(d) + 3*f(d). Find the first derivative of q(n) wrt n.\nAnswer: 30*n + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y + 4 + 4 - 8. What is the tens digit of v(-13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 - 1)*(2*l**3 - 2*l**3 - l**3) - 1 + 1 - 3*l**3 + (6*l**2 - l**2 - 3*l**2)*(-4*l - 2*l + 5*l) + 11*l**3 - 4*l**3 + 4*l**3.\nAnswer: 8*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + 6 - 6 - 8*p**2 + (-p + 2 - 2)*(-2 + p + 2) + p**2 + 7*p**2 + 0*p**2.\nAnswer: -p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 150 divide 11934900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 6*m + 2*r = -6, r - 7 = -m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -5. Suppose 0 = -4*h - 2*p + 14, 0 = k*p - 3*p + 5. Suppose 0 = -4*y - h + 13. Solve -3*m + 5*w - 31 + y = 0, 16 = 4*m + 4*w for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*3\/(-6)*(-2)\/15.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c - c - 21 = 0. Suppose 0 = 4*t + 3*u - 4*u - 65, -c = -u. What is the highest common factor of t and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 555572, 555577, 555582?\n\"Answer: 5*k + 555567","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 975\/2 - 1463\/3. Sort v, 1\/294, 6 in increasing order.\nAnswer: v, 1\/294, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1093*s - 985*s + 7020 = -2258*s for s.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1090007?\nAnswer: 43, 25349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -2*i**3 - 37*i**2 - 37*i - 337. Let u be m(-18). Which is the nearest to 7? (a) u (b) -5 (c) -3 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 5*t = -11, -3*l - 4*t = t - 67. Is l*((-4)\/(-2) - 1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - 4. Suppose 0 = 4*v + h + 28, -3*h + 1 = v - 3. Let i(r) = -r**2 - 7*r + 8. Let q be i(v). Which is smaller: q or k?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4\/3 (b) 7\/3 (c) -5 (d) 5\/4 (e) -0.2 (f) -276\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5690 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -326 + -168 + 426 + (1 - (1 - 1))?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 20615221, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4*((-4)\/(-10) - 35\/25). Let z = h + 6. Solve 5*r = -w - z, 4*r - w + 8 = w for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of 7*p**5\/120 + p**4\/6 - 31*p**3\/6 - 13*p. Let m(b) be the second derivative of s(b). Determine m(-3).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 15) in base 13?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 40219 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 6*(sqrt(11) + sqrt(44)))**2.\nAnswer: 108*sqrt(11) + 3573","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 2313?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22708 to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 3*l**3 - 4*l**2 + 3*l. Let x be b(2). Suppose 5*d - k + 34 = 0, d - 4*k = 6*d + x. Let r(p) = -9*p - 15. What are the prime factors of r(d)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**2*q)**(-5))**46 assuming q is positive.\nAnswer: q**(-690)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10241006?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11011111 + -101010011001?\nAnswer: -101101111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2238.1986ms in minutes?\nAnswer: 0.03730331","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (162\/(-1))\/((-20)\/30). Let x = -133 + c. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-1)*21\/7. Suppose -a + 2 + 1 = 0. Suppose g + a*o + 4 - 19 = 0, 3*o = 4*g. What is the highest common divisor of w and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(19\/3))**(4\/7)*(p\/(p**(-33)\/p))\/p**(-7\/10) assuming p is positive.\nAnswer: p**(8257\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98 = -4*t + 2*t. Let f = t - 12. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*m - 59 - 541 = 28*m for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 4 (b) 0.2 (c) 0.1 (d) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, a: 7, y: 1, x: 6, l: 1}. What is prob of picking 1 a and 1 x?\nAnswer: 21\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 73494?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.858 + 7.858. What is the fourth biggest value in -116, m, -3, 4?\nAnswer: -116","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 138 and 2605808.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.287 * -93.\nAnswer: -26.691","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/952 and -89\/310.\nAnswer: 147560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-4) - 22\/(-152). Suppose -2*p = 3*p. Put o, -2\/3, p in increasing order.\nAnswer: -2\/3, o, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = 4*z - 259. Is z a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 - -781237964153?\nAnswer: 781237964152.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101000111 - 101101101000?\nAnswer: -110010101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 10\/1041 and -109\/42.\nAnswer: 14574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6025 - -6105) + (-24 - (-3 - -1))?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 171 - 41. Does 13 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/9 (b) -67 (c) -78\/7 (d) 0.6 (e) -0.1 (f) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 405*m**3 + 640890*m**2 + 284780*m + 31640.\nAnswer: 5*(m + 1582)*(9*m + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/12415 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -5\/2 (b) -1 (c) 1\/3 (d) 0.3 (e) 47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4 + (0 - -405 - 6) + 6 is divided by 60?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1854027 times 2.4?\nAnswer: -4449664.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-54)\/(-21)*(2 + (-100)\/(-6)). Suppose -4*l - 4*l + k = 0. Calculate the highest common factor of 24 and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.06, -4\/7, 5\/4, -4.\nAnswer: -4, -2, -4\/7, 0.06, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 AM and 11:16 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-123)\/(75153\/188))\/((16\/(-3))\/4)?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -66*g**4 + 5*g**3 + 9*g**2 - 583*g wrt g.\nAnswer: -1584*g + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2*x)*(0 - 5 + 0)*(-5 + 2 + 2).\nAnswer: -10*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 + (3\/8 - 3008670\/(-48)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1055)\/(-113729))\/(35\/154).\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-24)\/276 + (-335)\/115. What is the closest to -2 in 52, -5, x, -0.2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of 9\/2*x**2 + 1\/3*x**3 - 5*x + 0. What is r(-7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -5*z + 26 + 19, -40 = -4*c - 2*z. Suppose -c*f = -f - 30. Let w = 8 - -5. Solve 5*l - 7 = f*b, -l - w + 0 = 3*b for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 9, g = 2*g - 2*v + 1. What is the second derivative of 2*d**g + 1 + d - 1 - 6*d wrt d?\nAnswer: 40*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 45. List the prime factors of t.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*i - 8*i = 35. Suppose -5*g - 3*v + i*v = 181, 3*v = -3*g - 87. Let s = g + 35. What is the smallest value in s, -0.2, -2\/17?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1860 = -2*o - 3*o. Let s = -365 - o. What is the remainder when 76 is divided by s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/3 - 214843\/644943. Let s = -1018803\/93470 - x. What is the common denominator of 23\/8 and s?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*j**2 + 0*j**2 - 4*j + 3*j - 34*j**3 + 36*j**3 - 15*j**2.\nAnswer: 2*j**3 + j**2 - j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of -171*s**7\/7 + s**5\/5 - 23*s**3\/3 - 5*s + 689. Find the third derivative of h(d) wrt d.\nAnswer: -20520*d**3 + 24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1\/5)\/((-7950136)\/722740 + 11).\nAnswer: 36137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/((-45)\/(-21)) + (-36)\/45. Suppose -4*t = -5*i - 3 - 5, -t - 3*i = -2. Let b be (t + 27\/(-12))*-1. Sort b, -3, z in increasing order.\nAnswer: -3, b, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9\/133 or 0?\nAnswer: -9\/133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14779170 - 24459170. Round y to the nearest one million.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (6 + -8)\/(2 - (-28)\/(-540)*39) and 378.\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 1142*g + 34180. Give n(-29).\nAnswer: 1062","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1\/179 + -355\/537. Sort -0.3, 0.5, b in increasing order.\nAnswer: b, -0.3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -11*u + 5. Let k be j(6). Let o = -54 - k. List the prime factors of 0\/(-2) + 2*o.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*z + 1444 = 460 - 1279 for z.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x**3 + 2*x**3 - 3*x**3 - 4*x + x**3 + 4*x + (2*x - 2*x**2 - 2*x)*(0*x + x - 3*x).\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together -20440 and 0.9143.\nAnswer: -20439.0857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 152004000 to the nearest one million.\nAnswer: 152000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -34 + -190. Let m = -73 - o. List the prime factors of m.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 463*u - 2161. Let d be b(10). Calculate the highest common divisor of 6 and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -89*s - 894. Calculate w(-10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 25\/567 or 1?\nAnswer: 25\/567","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 2*l = 4. Suppose l*c - 53 = -17. Solve -c = -2*q - i - 5, 0 = 2*q - 2*i + 2 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 52\/2585 and 139\/18370.\nAnswer: 863390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.041 - 0.559. Let m = -12 - -17. Put m, f, 0.4 in ascending order.\nAnswer: f, 0.4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -361 - -407. Suppose -x*i + 9*i = -185. Solve 3 = -s + i for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + 5*n - 30. Suppose 5*b - n = 0, -4*r + 5*r - 49 = -3*b. Suppose -r = -3*i - 2*i. Solve -4*x - 5*w - 5 = 0, 4 + i = 4*w for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*6 + 17278\/(-1141). Let l = 13 + -21. Is i greater than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, 50, 2 in descending order.\nAnswer: 50, 2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2*w**2 - 7*w + 8. Let k(n) = -6*n**2 + 20*n - 23. Let a(b) = -11*h(b) - 4*k(b). What is the remainder when (23\/5)\/(6 - 5)*5 is divided by a(3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -159163677 divided by -107\nAnswer: 1487511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3984673 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 bigger than 244?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0007000303 rounded to six decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -68? (a) 2 (b) 2\/13 (c) 0.161 (d) 2\/21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 269 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1326 + -1899. Let z = -178684.541 + 179257.541581. Let h = z + t. What is h rounded to 4 dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 27 - 36 - 27*z.\nAnswer: -27*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61457706?\nAnswer: 2, 3, 683, 4999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -9*f - 62. What is the remainder when y(-9) is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*b**3 + 25*b**2 + 16*b**3 - 20*b**2)*(1 - 1 + 2*b).\nAnswer: 4*b**4 + 10*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 316217, 318033, 319837, 321623, 323385, 325117, 326813, 328467?\nAnswer: 330073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 3 - 3 + 3*k)*(-195 + 248 + 464 + 202) to n*k + g and give n.\nAnswer: 2157","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, -214, 4 in descending order.\nAnswer: 4, -2, -4, -214","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9.478 - 3.478. Which is the closest to n? (a) 1 (b) -3 (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of l**3\/3 - 29*l. Let k(x) = -22*x + 13. Let z(a) = 11*a - 6. Let v(o) = 6*k(o) + 13*z(o). Calculate v(m(p)).\nAnswer: 22*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*f + 347 + 2821. List the prime factors of f.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(325) - -3*sqrt(325)*4 - sqrt(325).\nAnswer: 60*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1143\/54 - (10\/(-5) - -5) and -2\/7?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -2*u. Let s(t) = 3 - 122*t + 0 + 45*t + 0. Calculate d(s(h)).\nAnswer: 154*h - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**5 - 19*j**3 + 18*j**2 + 4*j + 4. Let z(v) = 5*v**5 - 115*v**3 + 110*v**2 + 25*v + 25. Let u(h) = 25*i(h) - 4*z(h). Let u(b) = 0. What is b?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = 3*d + 3*o + 4, 2*d + 2*o = -6 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 13 = -4*s - 4*c, -5*c - 4 = 3*s. What is the nearest to -2 in 0, 1\/2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2. Let a(m) = -751*m - 83. Determine x(a(s)).\nAnswer: -564001*s**2 - 124666*s - 6889","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a millimeter in micrometers?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 65282, 70526, 84758, 112472, 158162, 226322?\n\"Answer: 749*m**3 + m + 64532","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 244 and 21228854.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 - 4. Let j be z(0). Is ((-838)\/3)\/(j\/6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-7)\/((-14)\/8) + 2\/1. Suppose -20 = 4*s, t*s = -4*l + 7*s + 1381. Suppose 0 = -5*h + 9*h - l. What is the remainder when h is divided by 24?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*3*1\/15\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*v - 25 + 7. Suppose -2*r = 0, v*q - 5*r - 25448 - 23671 = 0. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -768 by 75626.\nAnswer: -384\/37813","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 449?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 75*v + 2450. Give q(-36).\nAnswer: -250","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = 3*x + 3*v - 79, -3*x + 2*v = -3. Let c(u) = u - 1. Let a be c(1). Solve 4*g + 8 + 0 = 4*p, a = 4*p - x*g - 6 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(500)\/(sqrt(90)\/sqrt(9)))\/(sqrt(50)\/(sqrt(80) - sqrt(5)))*-4 + 4.\nAnswer: -12*sqrt(5) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 6*h**3 + 4*h**3 + 6*h**3 - 5*h**3 - h**2 + 1. What are the prime factors of s(1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 7355320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14664 is divided by 3659.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - ((-13216)\/(-672) + 5\/((-5)\/2)).\nAnswer: -32\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5872?\nAnswer: 2, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -25*m - 123. Let c be v(-5). Solve 1\/3*h - 1\/3*h**c + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*u - 12*u - 18*u + 21 - 1.\nAnswer: -77*u + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/18*(-23)\/(1472\/16)*-4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1823027?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 161332*f**4 + 5*f**2 + 4634*f.\nAnswer: 3871968*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 4*n = 0. Let t be ((-1)\/3)\/((-9)\/8343). Suppose 2*m - 146 = 3*a + 25, 4*m + 5*a - t = n. Is m a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4959 and 41444073.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 52\/1217643 and 40\/63.\nAnswer: 3652929","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 2*b. Let j(q) = 2*q**2 - 5. Let a(k) = 4 - 2 + 2*k**2 - 3*k**2. Let v(l) = -15*a(l) - 6*j(l). Give v(h(p)).\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, k: 2}. What is prob of picking 2 i?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8*1 + 224\/(-32). Solve f - i = -3*l, 2*l + 3 + 19 = 5*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 7*r**2 - r + 9. Let x(p) = 7*p - 35. Let z be x(5). Let m be n(z). Solve m = 2*h + h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 5, d: 7}. What is prob of sequence rrd?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.79, -51, 0.3, 0, 0.5.\nAnswer: -51, -1, -0.79, 0, 0.3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let d = 30.63 - 3.03. Round d to the nearest integer.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 25 = 2*d, 0 = -3*f - 5*d + 1 + 9 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/6, -32, 1.97, -2.6?\nAnswer: 1.97","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -4*w + 5. Let c be a(1). Let r be -6 - -10 - 4*c. Solve 4*q - 4 + 16 = r for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2091804 + -1014305. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes before 1:25 AM?\nAnswer: 12:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 2*o = 6*o - 18, 2*n - 3 = -5*o. Let d = n + 8. Solve -d*l - 4 = -x, 5*x = -2*l - 3*l + 5 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1))**(-7\/10)*w**(-6)\/w*w**(3\/2) assuming w is positive.\nAnswer: w**(-24\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 8*p - 8*p + 7*p. Let s = -4 - -6. Let v(a) = a - 3*a + s*a - a. Calculate v(w(l)).\nAnswer: -7*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 144*a**3 + 102*a**2 - 7*a + 36. Is j(17) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3653044 divided by -46?\nAnswer: -79414","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of q**5\/390 + 7*q**4\/156 + 2*q**3\/13 + 7*q**2 - 2*q - 46. Let s(o) be the first derivative of w(o). Factor s(z).\nAnswer: 2*(z + 1)*(z + 6)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = n - 10. Let d be (-2)\/(-5)*245\/n. Solve 3*u + 2*i - 8 = 0, u - i = 4*i + d for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.69 + 8.19. Let t = x + -12.5. What is the second smallest value in t, 2, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 20*r + 57. Determine p(-7).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 43.5 + -43.499997291. Round f to 6 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + -28. Calculate the common denominator of -5*1*4\/f and -5\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6399229.\nAnswer: 151, 42379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 13*m = 8*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27 - 23. Let k(v) = -4 + 0 + 2*v + i. Let u(h) = 4*h. Calculate u(k(q)).\nAnswer: 8*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(425) + sqrt(272) + 1 + ((sqrt(170) - (sqrt(170) + 1*sqrt(170) + sqrt(170))*3 - sqrt(170)) + sqrt(170))\/sqrt(10) + -2 + -2)**2.\nAnswer: -36*sqrt(17) + 621","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssssttzsyszsstzys. Give prob of picking 1 z, 1 s, and 1 t.\nAnswer: 81\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 - 5*o - 6. Calculate the remainder when 31 is divided by a(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**3 + 0*h**2 + 0*h**2)*(-4 + h + 4) + (-3 - 3 + 2)*(7*h**4 - 21 + 21).\nAnswer: -29*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1055, -995, -919, -821, -695, -535?\n\"Answer: w**3 + 2*w**2 + 47*w - 1105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2 + 17292*c + 327826.\nAnswer: 2*(c + 19)*(c + 8627)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -46\/39 - -24\/13. What is the smallest value in -1\/5, s, 222?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19*26\/247*(-21)\/(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -221*o + 222*o - 2*b - 4, -b + 1 = -o for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 72629?\nAnswer: -1\/72629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r**5 - 30276*r**4 + 76386327*r**3 + 211914*r**2 - 534522780*r - 458318088 = 0. What is r?\nAnswer: -2, -1, 3, 5046","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -315 - -317. Suppose -2*z + j = d - 9, -2*z - 4*d = 4. Solve 0 = 3*y - 5*k - 22, z*y + k - 18 = 3*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12415 + 17801. Calculate the least common multiple of 20 and p.\nAnswer: 53860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 5*c + 32 = 2*a, 0 = a + 4. Suppose k = 2*g - c, 2*g + 4*k - k = 2. Suppose g*s - 56 = -2*z, 3*s = -3*z - 0*z + 45. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**3 - 2194140*z**2 - 4388264*z.\nAnswer: -4*z*(z + 2)*(z + 548533)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-1*9\/12). Solve 0*c + x = 2*c, 3*v - 2*c = -23 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + 1 + 11. Let y = -9115\/5709 - 96\/173. Calculate the common denominator of (-8)\/(-10) + (p - (-4)\/60) and y.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126618384 to the power of 1\/3, to the nearest integer?\nAnswer: 502","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-33)\/(d*(d*d**(-1\/33))\/d*d*d))**(-1\/13) assuming d is positive.\nAnswer: d**(1187\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2496762.9929 - 2496942. Let z = -23.6 + -155.4. Let t = o - z. What is t rounded to 3 decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2710\/9 or 11\/2?\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -136, -303, -494, -709, -948?\nAnswer: -1211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*s - 30 + 84 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a day in minutes?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 5:58 AM?\nAnswer: 10:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -13017.7778 rounded to the nearest one thousand?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1, -69, -0.5, 1\/378?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -0*w + 20. Suppose -205 + 30 = -w*o. Suppose q = -5*j + o, -j - q - q = -7. Calculate the remainder when 25 is divided by j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*y**3 + 15*y**2 - 21*y - 6.\nAnswer: 3*(y - 1)*(y + 2)*(4*y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -37 - -145. Is 16 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, -30, -5, -25, 19, 1 in ascending order.\nAnswer: -30, -25, -5, 1, 2, 5, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (15 - (-8 + 21 + -6)) - -8.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 304752 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + -10212?\nAnswer: -10210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3 and 212100?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 122 = 2*k. Let z = 71 + k. Let q(u) = -39*u. What is the remainder when q(-1) is divided by z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14 in -27\/25, -3, 0.4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffffffgffff. Give prob of sequence fgf.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 + -20 + 5 - (52 - 28)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m - 9*m = 2. Suppose 16*p - 5*w = 14*p + 76, -5*w = 3*p - 39. Sort 5, p, -5, m.\nAnswer: -5, m, 5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13885\/3 < 4627?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 4*b - 16, -4*b + 30 = -0*s + 5*s. Suppose 104 = b*n - n. What is the remainder when n is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*c = 10*c + 23. Let m be c*2*(-697)\/34. What is m rounded to the nearest 100?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 - (-12)\/(1 - -3). What is the third derivative of 3*h + 19*h**m - 28*h**2 - 4*h**4 - 3*h wrt h?\nAnswer: -96*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 172004036?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-168*s**2 - 169*s**2 + 85*s**2 + (-s - 3*s + 3*s)*(-2*s + 5*s - 2*s))*(-2 - 7*s + 2)*(0 + 3 - 1).\nAnswer: 3542*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -25*m**2 - 1377*m + 2680. What is f(-57)?\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 - 117. Let t = -123 - c. Solve -1\/4*f**4 + t*f**2 - 1\/4*f**3 + 0 + 0*f = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -23763, -23747, -23731, -23715?\n\"Answer: 16*b - 23779","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 180848*w**3 - 90425*w**3 + 2905*w**5 - 90422*w**3 + (3*w**5 + 3*w**5 - 7*w**5)*(-1 - 4 + 3).\nAnswer: 2907*w**5 + w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, 118.\nAnswer: -1, 1, 118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -69*i - 203. Let y be t(-3). Suppose 2*c = 7*c - 15. Solve -y*v + c = -v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, 29, -5, 3, -2, 26.65 in descending order.\nAnswer: 29, 26.65, 3, -2\/7, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 8:51 AM?\nAnswer: 11:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1716967 is divided by 119?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -169 - 65. Let k = n + 173. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/54*(-1 - 0). Which is the fourth smallest value? (a) 4 (b) f (c) -0.1 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 53\/(-13) - ((8 - 13) + 1) - 18550\/182?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fcfluluc. Give prob of picking 2 l.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 82*m - 4 + 3 + 4*m**2 - 58*m - 77*m in the form j*m**2 + q*m + s and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from jjajajajajjvavajjajj.\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*v - 2*v**3 - 13*v**4 - 17*v**4 + 28*v**4 to h*v + j*v**2 + i*v**4 + w + o*v**3 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/38)\/(-1) + (-33046)\/84227\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 263906 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (0 - 98 - ((-34 - -5 - -26) + 2))\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -14*z - 7. Let o(l) be the second derivative of -l**2 + 0 - 5\/6*l**3 - 45*l. Determine -7*o(n) + 2*s(n).\nAnswer: 7*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 11*n**2 - 3*n + 3. Let a = 631 - 628. Let p(l) = -44*l**2 + 11*l - 11. Calculate a*p(d) + 11*j(d).\nAnswer: -11*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2752 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 3. Let z(p) = -p**3 + p + 6. Let u be z(i). Let r(n) = -3*n**2 - n**3 - 4*n - u - 3*n**2 + 2. Give r(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 270 and 22338882.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -4*z**2. Let w(l) = -132*l - 1752 + 895 + 856. Give w(a(i)).\nAnswer: 528*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 32 + -23. Let w = t + -7. What are the prime factors of (-2)\/(-4) + 17\/w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, q: 2, y: 5, f: 3}. Give prob of picking 1 q, 1 y, and 1 x.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 26528*r + 49886.\nAnswer: 26528","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1377533 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 137 + -2?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 81387?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*i - 1. Suppose -3*b + 7*b = 528. Suppose 3*z = -z + b. What is the highest common divisor of i and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.16, 12.7, -0.4 in descending order.\nAnswer: 12.7, 0.16, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14977782 to the nearest integer?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/134964 and -119\/234.\nAnswer: 1754532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/35 + (-22)\/(-77).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2760133\/200 + 221076\/25. Let r = p + 4968. What is the common denominator of r and -75\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of i*l**3 + 2*i*l - 2*l**4 - 5888*l**2 - 13*l + 15 wrt l.\nAnswer: 6*i*l - 24*l**2 - 11776","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -224900 = -271*f - 75579. What is the remainder when f is divided by 70?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -q - 0*q - 67, 0 = 4*y - 4*q - 124. Let u = y + -32. What is the remainder when u is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -793, -781, -745, -673, -553, -373, -121, 215?\nAnswer: 647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 j when two letters picked without replacement from {d: 1, f: 2, e: 2, j: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 + 4*m - 4. Let x be n(-4). Let j(g) = -11*g**3 + 3*g - 9. Let y(o) = -6*o**3 + 2*o - 5. Calculate x*j(c) + 7*y(c).\nAnswer: 2*c**3 + 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 21\/5 of a millennium?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6067037204 - -21.\nAnswer: 6067037225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*s + 7*s - 10. What is the units digit of (-4 - -63)*s\/(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 3 y when four letters picked without replacement from ywnyyxwnwcwrw.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 37 = -5*k, k + 17 = 4929*i - 4932*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 64 and 48.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, i: 4, o: 5, b: 3}. What is prob of sequence oiig?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -19331a0 (base 11) to base 14\nAnswer: -61155d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -31 + 328?\nAnswer: 2c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 19 = -o, -4*z + 2*o + 86 = 120. Let f(w) = 8*w**3 - w**2 - 6*w. Let s(j) = -j**3 + j**2 + j. Suppose 4 = 2*k - 6*k. Give k*f(r) + z*s(r).\nAnswer: -2*r**3 - 5*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*n**5 - 446*n**2 + 2365*n?\nAnswer: -80*n**3 - 892","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12595299 to the power of 1\/3, to the nearest integer?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 PM and 2:03 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -475 + 155. Does 51 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4*(8 - 0)\/(-2). Let i = 18 - c. Solve -3*r - 4 + i = h, 3 = -3*r for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 125*m = 128*m + 47, 4*x = 5*m + 29 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of -c**7\/147 - c**6\/35 + c**5\/70 + 11*c**4\/42 + 4*c**3\/7 + 4*c**2\/7 + 3*c. Find b such that x(b) = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -10*m**3 - m**2 + m + 5. Let p(x) = -x**3 - x**2 + x. Let s(g) = -o(g) + p(g). Differentiate s(a) with respect to a.\nAnswer: 27*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 13394 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 981256?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 175*j**2 + 15268*j - 27326. Give f(-89).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 74585 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*6*sqrt(84)*-1)\/(sqrt(120)\/(sqrt(70)\/sqrt(7))*2).\nAnswer: -9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = -s - s. Let y be (s\/4)\/((-1)\/2). Let q = 11 + y. Does 22 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(400) + (1*sqrt(900) + sqrt(900) - sqrt(900)))\/(sqrt(35)\/(sqrt(14)\/(sqrt(2) - sqrt(2)*4) + sqrt(7))).\nAnswer: 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -157\/5455926 and 52\/129903?\nAnswer: 5455926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21 - 68. Let d = q + 201. Is d a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 948\/(-1264)*(-64)\/3.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 745 is divided by 203?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 195683.\nAnswer: 79, 2477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4331850 and 1440.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -2*r**3 + 5*r**2 + 2*r - 3. Let p = -4 + 6. Let s = p - 5. Let a be o(s). What is the highest common factor of a and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -25*l - 9. Let j be r(-6). Suppose -11 = -4*f + j. What is the remainder when f is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 119722?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 PM and 11:49 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -80*h**3*i**2 + 4*h**3*t + h**3 + 15*i**2*t wrt t.\nAnswer: 4*h**3 + 15*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of -83*q**5 - 5*q**4\/4 + q**3 + 558*q**2 - 6626. Find the third derivative of d(s) wrt s.\nAnswer: -9960*s - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + 101110110111101?\nAnswer: 101110111000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15.2 - -15.9. What is the nearest to -1\/3 in -3, 0.4, a?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43583, 87171, 130757, 174341, 217923?\nAnswer: 261503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the third derivative of b**7\/3780 - 31*b**6\/1080 + b**5\/6 + 77*b**4\/6 - 282*b**2. Let d(c) be the second derivative of k(c). Factor d(r).\nAnswer: 2*(r - 30)*(r - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (140\/(-22))\/(108990\/(-171270))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 32386 + 15211?\nAnswer: 47597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62606*m + 10 = -5*z - 62607*m, 0 = -m - 5 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2*n**2 - 14*n - 8. Let s be v(-6). Suppose 0*w - w + 4 = 0. Let c(g) = -g**3 + 10*g + 0 + 3*g**2 - w - 5*g. Calculate c(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -33*j**6 - 451*j**4 - 5109474*j**2.\nAnswer: -3960*j**3 - 10824*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ueeu when four letters picked without replacement from euueeueuue?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(7\/6)*r)\/(r**1*r))\/(r*(((r*r\/r**(-7))\/r)\/r)\/r*r)**(-1\/35) assuming r is positive.\nAnswer: r**(-197\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 63360 and 1280.\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 - -15. Let u = r - 6.4. Let x = u - -1.4. Which is the closest to x? (a) 0 (b) 5\/2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0893 to two decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - 11515240?\nAnswer: -11515243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 726*i**4 + 192*i**3*y**2 + 57136*y**2 wrt i.\nAnswer: 2904*i**3 + 576*i**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 144020 by 758.\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - 2. Let y = m + 1. What is the third biggest value in y, -4, 0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/4))**48*(r*(r\/(r\/r**(1\/4)*r))\/r)\/(((r\/(r\/(r*r**(-11)))*r)\/r)\/r) assuming r is positive.\nAnswer: r**(-7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 - 21*i**2 - 21*i - 6. Let l be v(-20). What is the second derivative of 7 - a + 15*a - l*a**2 - 7 wrt a?\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/15*j**2 - 176\/5 + 76\/15*j.\nAnswer: 2*(j - 6)*(j + 44)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.43 times 12.51?\nAnswer: 5.3793","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ea2411 (base 15) in base 3?\nAnswer: 202222020021221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 0 + 738568\/36 + 7*8\/252?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 22 (b) -1.49 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -199.2 + 198.8. Let j be ((-8)\/20)\/((-4)\/(-65)). Which is the smallest value? (a) -4 (b) j (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 938 and 10559066?\nAnswer: 938","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -36 + 35.7. Let y be (3\/(-9))\/((-2)\/24). Suppose r + u = -0*r + y, -2*u = 2. Put b, r, -1 in ascending order.\nAnswer: -1, b, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 1028 + -1022 + 98 + -1 + -1?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 293, 20, -1489, 5 in descending order.\nAnswer: 293, 20, 5, -1489","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 124624?\nAnswer: 2, 7789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 134018527.\nAnswer: 373, 359299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.3 + 6.3. Let x = 4 - r. Let q = -12\/7 - -67\/35. What is the closest to -0.2 in q, x, -4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10.142192 - 0.142192. Let u(r) = -2*r + 5. Let d(a) = -6*a + 14. Let n(b) = 4*d(b) - 11*u(b). Let q be n(1). What is the nearest to -2\/3 in w, 0, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -5 - 0. Let s be (-3)\/6 - 2\/4. Let l = q - s. Solve 6 = -0*v + l*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - 0. Suppose 12 = j*v - v. Suppose -5*b + 4*o + 43 = 0, 7*b - 4*b - 30 = o. What is the smallest common multiple of b and v?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of d**2*g**2*x - 10*d*g**2*x + 7*g**2 - x wrt d.\nAnswer: 2*g**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 54, 4, 2, 1, -17 in ascending order.\nAnswer: -17, 1, 2, 4, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 8:56 AM?\nAnswer: 9:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6973*o + 5 + 7 - 11 - 1)*(2 + 1 - 2).\nAnswer: 6973*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*l + 2*l + 5*l - 4*l**2 + 2*l**2.\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/10)*z\/(z\/(z**(-1\/16)\/z))*z*((z**1*z)\/z*z)**(-22\/5))\/(((z*z**(1\/7))\/z)\/z*z*z**(-6))**(-12\/7) assuming z is positive.\nAnswer: z**(-74493\/3920)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 667734782?\nAnswer: 2, 11, 13, 37, 89, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 5*v = g - 18, -1056 = -g - 2*v - 1047 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 48402 - 242004\/5. Which is the smallest value? (a) 1\/2 (b) 5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**4 - 10*v**3 - 120*v**2 + 250*v - 125.\nAnswer: 5*(v - 5)*(v - 1)**2*(v + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -20392 * -1\nAnswer: 20392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 + (-38 - -29) - (0 + -12 + -3)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 82066591 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*z - 19*z - 225 = 0. Solve z = -5*i, 0 = -5*l + 2*i - 3*i for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/19*h**2 - 16\/19*h + 6\/19*h**3 + 8\/19.\nAnswer: 2*(h - 1)*(h + 2)*(3*h - 2)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/2)\/((-1071)\/(-2499))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 + -14. Let z = 3.7 + v. Let f be ((-1)\/2)\/((-165)\/(-220)). What is the nearest to 0 in f, z, 4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108) + 3*sqrt(108) + sqrt(108))\/(-4*sqrt(20)\/sqrt(5)).\nAnswer: -15*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 233347823 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1524.85 + 1509. What is the third biggest value in m, 3, -1\/4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1256186\/77 or 16315?\nAnswer: 16315","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.6 minus -6?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2162474, 4324923, 6487348, 8649737, 10812078, 12974359?\nAnswer: 15136568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -29 (b) 0.11 (c) -0.1 (d) -15 (e) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*f**4 - 38666*f**3 - 1470892*f**2 wrt f?\nAnswer: -240*f - 231996","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106428 is divided by 3225.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-1)\/3*0)\/(-1))\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 29 + 1 = 0. What are the prime factors of c + -7 - (-22 + 1 + 1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/2*2\/(-14)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*b - 327 = 3. What is the fourth smallest value in b, -0.3, 11, -2?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 185 (base 15) to base 4.\nAnswer: 11132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddlw when four letters picked without replacement from rrldddfwdd.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/360 and -79\/45?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + -442?\nAnswer: -446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -1941*d**3 - 8*d**2 - 974. Let r(o) = -1940*o**3 - 10*o**2 - 974. Let q(w) = 4*r(w) - 5*u(w). What is the derivative of q(b) wrt b?\nAnswer: 5835*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 322.45 - -556.\nAnswer: 878.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-1\/10)\/y*y*y**(-1\/7))**(-32\/7)*(y*y*y**(1\/3))**(-2\/81)\/(y*y*y\/y**(-3)*y*y*y*y**(-3)*y) assuming y is positive.\nAnswer: y**(-626239\/59535)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27.8 + 28. Let l = -230 + 159. Let z = -71.6 - l. Sort z, v, -2\/7, 2 in decreasing order.\nAnswer: 2, v, -2\/7, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - -13. Calculate the remainder when 63 is divided by s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*f + 276 - 1033 + 79 - 918 = 0 for f.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*l**3 - 11*l**2 + 178*l wrt l.\nAnswer: 48*l - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 80 - (-7)\/((-28)\/(-16))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*b + 12*b - 30*b.\nAnswer: -10*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7363 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51353*t - 32 = -51355*t - 2*k, 8 = t - 3*k for t.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98*u - 40*u + 33 + 105 = 0. Solve r = -3, 2*r = -4*a + 5 + u for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwyyyyywywywwyyw. Give prob of sequence ywy.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -11 + 4 - (-8 + 30)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 189623471 to the nearest integer?\nAnswer: 13770","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2 + 8*b - 19. Let j(y) = 4*y**2 - 31*y + 76. Let w(i) = -9*d(i) - 2*j(i). What is the remainder when w(9) is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 286845161 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*y - 11*y + 146*y + 31*y.\nAnswer: 176*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 5, a: 2, b: 2}. What is prob of picking 1 n and 1 a?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqrprppqp. What is prob of picking 1 r and 1 q?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0072756336 to 5 decimal places.\nAnswer: 0.00728","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -130 times 5?\nAnswer: -650","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -86119, -82606, -79093?\nAnswer: -75580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -1067 + 2262 - 1100 - 15*o. Calculate c(5).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3506 (base 8) in base 6?\nAnswer: -12342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1158664?\nAnswer: 2, 13, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 1\/13 (b) 0 (c) 2 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = 2*c - 23, -41*n + 44*n = -2*c + 8 - 27 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 + c + 5. Suppose 0 = -5*v - 2*b + 4*b + 4, 2*v - 8 = 4*b. Calculate t(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that s**2 + 77515*s + 20317276 = 0.\nAnswer: -77252, -263","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7290 and 1080.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -5*a - 2 + a + 0 + 3*a. Let f be n(4). Let l(y) = 2*y**2 - 6*y - 9. Let k be l(f). What is the highest common factor of 9 and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -801 in 0, -1\/12, -497?\nAnswer: -497","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -185, -190, -207, -242, -301, -390, -515, -682?\nAnswer: -897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -273446, 8, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 s when four letters picked without replacement from sssssss.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.21284 decades in millennia?\nAnswer: 0.0621284","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 40019615 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j = 2*j + 10. Find the first derivative of -12 + j*u**3 - 12 + 25 wrt u.\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3 + 4*64 + 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.06034 - 227715491232\nAnswer: -227715491231.93966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2964.\nAnswer: 2, 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 12 = 5*z. Solve z*f + 8 = 2*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5608753 is divided by 72.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 59509 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - 530?\nAnswer: -534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.838 minus 23440.66?\nAnswer: -23439.822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/1*26\/((-1326)\/(-85)). Put -27, 2, r, -11 in decreasing order.\nAnswer: r, 2, -11, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2991.\nAnswer: 3, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 5*o - 2, -3*v + o - 2 = -2*v. Let m be (v + 5)*10*4. Calculate the common denominator of (-1624)\/m + 1\/5 and -25\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4138 = -q - 4122. Solve 0 = 4*f + 2*l + q, 0 = -4*f - 3*l + 5*l - 16 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.60978 + -17.39022. Let k = 0 + 5. What is the nearest to 1 in k, -5, u?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 3*x - 1 in the form f*x + b and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 84*p + 0 + 164*p**4 + 32*p + 3 - 8*p - 2 wrt p.\nAnswer: 1968*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -21.8356785 to three dps.\nAnswer: -21.836","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 125950?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 149.3 - 2.3. Let i = 147.79 - g. Let q = 0.69 - i. Which is the closest to q? (a) -7 (b) 0.5 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 87401, 5, -4.\nAnswer: -4, 5, 87401","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 17\/4 of a millennium?\nAnswer: 425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 177\/560 or -1?\nAnswer: 177\/560","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20442 is divided by 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 373486, 373485, 373484, 373483, 373482?\n\"Answer: -b + 373487","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -3200 to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 733 + 257. Let q = j + -989.99999529. Round q to seven decimal places.\nAnswer: 0.0000047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.025*258\nAnswer: 6.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of n**8\/504 + n**7\/315 - n**6\/180 - n**5\/90 + 47*n**2 - n. What is f in g(f) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (59 - 70) + (0 - (2 - 7))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7 - 14b8?\nAnswer: -14c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 33363?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 14506590 to the nearest 10000.\nAnswer: 14510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7\/758 - -723\/3790. What is the fifth smallest value in o, -0.4, -4, 2\/9, -2\/7?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19370233?\nAnswer: 239, 81047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of -i**4\/8 + i**2. Let j be k(-3). Suppose 2*r - n - j = 0, 0 = -r - 3*n - 3 - 10. Solve -3*s = 6, 2*s = -3*h - r*s + 1 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89255 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 8*s. Let i(v) = -2473*v**2. Give f(i(n)).\nAnswer: -19784*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 - 0.3211702195981.\nAnswer: -0.3211702195981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.05 and -17.91.\nAnswer: -0.8955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -52, -3.\nAnswer: -52, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-6 - 60\/(-8)) + 190\/57.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uy when two letters picked without replacement from tdtddttddtdtydyou.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.994, 0, -3 in decreasing order.\nAnswer: 1.994, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express k**4 - 2*k**4 + 3*k**4 + (50 - 4 - 24)*(6 - 6 - 23*k**2)*(-8*k**2 - 7*k**2 + 4*k**2) as i*k**2 + j*k + r*k**3 + m*k**4 + n and give m.\nAnswer: 5568","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -195, 4, -9\/7?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.28 - -0.296. What is the biggest value in -2, 5, t, 1\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eoeoeoooeeeo. What is prob of sequence eeoe?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 56\/(-3)*(-842)\/(-6736)?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -0*c - 5*b + 9, -5*b = -25. Suppose -3*f + 3080 = c*f. Does 20 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/12 and 5007\/3432*-2 + (13 + 8)\/7.\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -g - x + 19, -152 = -g + 2*x - 145 for g.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(60) - (sqrt(660)*-1)\/sqrt(11) - sqrt(60))\/sqrt(10))\/(-6*sqrt(15)\/sqrt(80)).\nAnswer: -2*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122981 is divided by 91?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -216422 (base 9) to base 15.\nAnswer: -28502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.3 - 2.3. Which is bigger: 1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ect when three letters picked without replacement from {t: 2, s: 1, e: 4, b: 1, c: 4, r: 8}.\nAnswer: 4\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 59*f**2 - 443*f + 729. Give o(5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-9) - ((-4480)\/36)\/7. Let m be 36 + (4\/6 - 66\/b). Solve 3*s + 5*j + m + 1 = 0, 2*s = 3*j + 9 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n + n. Let a(p) = -2*p + n*p + 3*p - 3*p. Let z(t) = 2746 - 24*t**2 - 2746. Give a(z(w)).\nAnswer: 48*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1043, 2127, 3211, 4295, 5379?\nAnswer: 6463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -1\/6 (b) -2\/7 (c) -0.7 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 252022364953 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*b = 72*b - 4*j + 20, 2*j + 4 = 2*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nv when two letters picked without replacement from pvjpn?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.081 and 4124?\nAnswer: 334.044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -5 + 6 + (-9 - -3)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-2*(3*(3*sqrt(325)*-3 + -3)*3)**2.\nAnswer: -25596648 - 262440*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 131, 71, -5, -103, -229, -389, -589, -835?\n\"Answer: -x**3 - 2*x**2 - 47*x + 181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = c + 14 - 2, -4*h - 18 = -2*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 + 5*v**2 - 4*v + 1. Let b be z(3). Suppose 26 = b*i + 5. Suppose i*f + 0*f = 9. Solve 4*l - f*s - 13 = 0, 4*s + 0*s + 12 = 4*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes before 4:15 PM?\nAnswer: 11:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1490 is divided by 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72\/6*1\/2*-1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (17 - (-14 - ((36 - 14) + -17))) + (7 - 3)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 4*q**5 + 3*q**3 - 30*q. Let b(f) = 8*f**5 + 6*f**3 - 59*f - 1. Let t(u) = 2*b(u) - 5*r(u). Find the second derivative of t(m) wrt m.\nAnswer: -80*m**3 - 18*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a**(2\/5))**13)**(2\/109))**(-14) assuming a is positive.\nAnswer: a**(-2548\/545)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14348*x = 2*g + 14336*x - 38, -x - 3 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 359*n**2 + 6819*n - 45. Calculate k(-19).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 30584.75l?\nAnswer: 30584750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 10, y: 1, z: 1, a: 5}. Give prob of picking 1 z, 1 f, and 1 a.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 5*l**2 + 31865690*l - 31865695 = 0.\nAnswer: -6373139, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 - -76. Let n = -61 + r. Suppose -5*s - 29 = 3*x - 4*x, -2*x + 10 = 2*s. What is the least common multiple of x and n?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 177372 to the nearest 1000.\nAnswer: 177000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -754.8 + 753. Which is the nearest to 1? (a) 5 (b) -2\/5 (c) 2\/3 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47427 > -25.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 12*m - 3. Let l(k) = -23*k + 7. Let n(o) = 3*l(o) + 5*x(o). Let w be n(4). Is (0 - w\/(-4))*-2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23.32 - 23. Let v = x + -0.22. Which is the nearest to -1? (a) 4 (b) v (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3093837 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -42110142*g*w + 86841233*g with respect to w.\nAnswer: -42110142*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/3210*((-12)\/(-48))\/(6\/(-60))?\nAnswer: 2\/107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 1*(sqrt(2057) + (-1 + sqrt(2057))*-4)**2 + ((sqrt(2057) + 1)*1 - (2 + (sqrt(2057) - (sqrt(2057)*1 + sqrt(2057)))))**2 + 4.\nAnswer: -308*sqrt(17) + 26767","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*m**(-1\/2)*m*m**9*m)\/(m*m\/(m*m\/(m*m**(-2))*m*m))**(-37))**21 assuming m is positive.\nAnswer: m**(-4137\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 4\/3 (b) -0.06 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 128.774 - 314.99. Let o = -185 - m. What is o rounded to one dp?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.79 + -0.01. Let n = -0.4 - z. Let q = n - 1. Which is the biggest value? (a) q (b) -1\/3 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 - 10*o**2 - 8*o - 3. Let p(y) = 4*y - 5. Let z be p(4). Let g be c(z). What is the greatest common divisor of g and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86454 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 184 in 0.8, 5, 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3983091?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3933464.6 rounded to the nearest 100000?\nAnswer: 3900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2646 to the power of 1\/2, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 17 + (1 - 4)*-1. Let h be (2 + (-6)\/4)*w. Solve -3*q = -8*q + h for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -11*6\/(-330) - (-1)\/(20\/17356) is divided by 72.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 21*u**3 + u**4 - 31*u**3 + 12*u**3 - 3*u**2 - 11*u**2 + u**2 in the form k*u + p + g*u**4 + w*u**3 + t*u**2 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -18304 divided by 176?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -2*i + 8, k = i - 9 + 3. Suppose 4*z - 75 = -3*u, -i*z + 90 = -0*z + 3*u. Solve 3*j + z = -m, 0 = -3*m + j - 3 + 8 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*r**3*u + 16797085*r**3 - 9863*r**2*u - 10*r + u + 4 wrt r?\nAnswer: 12*u + 100782510","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -5, -4, -6, 90, 0.02?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22 + 21003?\nAnswer: 21031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (23 - (28 - 16)) + -9 + (0 - -2)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2116 + 2120. Sort m, 1, -2, -3 in decreasing order.\nAnswer: m, 1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 100*q + 81*q + 157*q + 94*q.\nAnswer: 432*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -6*m**2. Let i be (-1 - -4)\/6*0. Let r(j) = -j + 2*j + i*j. Calculate l(r(h)).\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 532434, 1064865, 1597294, 2129721, 2662146, 3194569?\n\"Answer: -t**2 + 532434*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(1*sqrt(108) + 4 + sqrt(108)*3*-5) + 2)**2.\nAnswer: -18480*sqrt(3) + 529684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5134 - -4453?\nAnswer: 12620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2682149084?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/944 and -2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -336 + 354 - (3 - -1).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 4.984188 milliseconds?\nAnswer: 4984188","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55) - sqrt(110)\/((sqrt(72) - sqrt(2)) + sqrt(2)))\/(5*sqrt(80)).\nAnswer: sqrt(11)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express ((15 - 31 - 45)*(0*v + v - 7*v) - 2*v - 4*v + 4*v)*(18 - 18 - 2*v**3 + v) as t + m*v + d*v**4 + n*v**3 + z*v**2 and give z.\nAnswer: 364","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 168 and 85526238?\nAnswer: 342104952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2, 0.1, 1.93?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 + -3*(-38)\/(-6))*(-125)\/(-75).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7128018 - -1.2.\nAnswer: -7128016.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -14\/153 (b) -2 (c) 2\/7 (d) 1\/3 (e) -29\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/162059563 or 0?\nAnswer: 1\/162059563","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -8*v - 10. Calculate z(0).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 3*q**3 + 82*q**2 + 0 - 86*q**2 + 2 to p + m*q**3 + s*q + c*q**2 and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 7, d: 4, l: 2, t: 2, z: 3}. What is prob of picking 1 l, 1 d, and 1 z?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(700)*2 + 4 + -3 + sqrt(700) + 2)*-1*-4 + 1)**2.\nAnswer: 3120*sqrt(7) + 100969","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o**(1\/6)*o*o)\/(o*(o**(-2\/13)*o)\/o) assuming o is positive.\nAnswer: o**(259\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2280 and 7125.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -23*((-79824)\/(-2576) - 31)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -55*u**4 + 7*u**3 + 4*u + 7. Let x(f) = -37*f**4 + 5*f**3 + 3*f + 5. Let c(y) = 5*a(y) - 7*x(y). What is the second derivative of c(m) wrt m?\nAnswer: -192*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 3*r - 6 = 0. Let z be 0\/(-3 + 7 + 0 + -6). Suppose -x - 5*w - 1 = 13, z = -2*x + 2*w + 8. Calculate the least common multiple of r and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 - 15*z - 42. Determine m(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/28398 and -119\/2052?\nAnswer: 9712116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 7 = 10. Suppose 0 = -o, 0 = -5*j + p*o - 4*o + 5. Is 3\/34 at least as big as j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 + 2*z + 6. Let u be l(-2). Let g be 3 + 2 + u + -3. What is g rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(304)*1 + ((sqrt(38)*2)\/sqrt(2))**2 + sqrt(19)*1 + -5.\nAnswer: -15*sqrt(19) + 71","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56882 is divided by 28432?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 + 2)\/(2\/10). Let v(a) = 20*a - 38. Let u(z) = 60*z - 104. Let n(y) = -5*u(y) + 14*v(y). What is the units digit of n(q)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 379 - 383. Let z be r\/(-30) - 10056\/(-180). What is the greatest common factor of 1288 and z?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 266821936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 0, 6, 10, 12?\n\"Answer: -z**2 + 9*z - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, z: 3, u: 5}. What is prob of picking 2 z and 2 j?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + -8. Let l be (b\/15)\/((-2)\/36). Let h(o) = -o**3 + 6*o**2 + o + 8. Is 7 a factor of h(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63856 at least as big as -3012?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1018 is divided by 92?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4875248715 to the power of 1\/2, to the nearest integer?\nAnswer: 69823","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 PM and 12:00 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 65*k + 452. What is j(-7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 1:34 AM?\nAnswer: 7:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-221*(-4)\/16)\/(-2 + 54\/24). Is 196 bigger than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*j**(1\/4)\/j*j*j))**(-12)\/(j**(-18)*j\/j**(4\/7)*j) assuming j is positive.\nAnswer: j**(221\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2895 - 1068. Calculate the highest common divisor of p and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 7 = -t, 2*i - 12*t + 23 = -3*t for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -116 by -3.\nAnswer: 116\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -117 - -222. Suppose -5*q = v - u, -3*v + 2*q = -0*v - 315. Let r(c) = -43*c - 1. Let y be r(-1). Calculate the highest common divisor of y and v.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32271696 divided by 296.\nAnswer: -109026","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 234867516 by -4.\nAnswer: -58716879","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1284510153?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -205*z**2 - 2395*z + 9030.\nAnswer: -5*(z - 3)*(41*z + 602)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 128911349 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 x when two letters picked without replacement from cckrkx?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 83152205 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 24*v. Let l(u) = -4*u**2 - 2*u. Let p(s) = s**2 + s. Suppose -4*g + 10 = 2. Let j(i) = g*p(i) + l(i). Give j(x(r)).\nAnswer: -1152*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + 0. Let g = 157 + -153. Differentiate -6 + g + h + o wrt h.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 1:57 AM?\nAnswer: 9:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/255*-3)\/((-2)\/2).\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from aajjjaaavaavaaaaaa.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 10*96\/(-36)*(-6)\/20.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -m + 6*m - 66, 4*m - 5*x = 38. Calculate the remainder when m is divided by 21 + -26 - (0 + 2 + -11).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 2*b - 5*b + 33, 3*s - 35 = -4*b. Solve -8 = -7*v + s*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 26*f. Let g(u) = -11*u. What is v(g(a))?\nAnswer: -286*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**1)**35*b**4*b*b*b*b**(-3\/5)*b*b**(-3\/5)\/b*b**(-3)*(b**(-1)\/b)**(-25) assuming b is positive.\nAnswer: b**(264\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 50*m**3 + 67*m**3 - 25*m**3 + 2*m**2 - 42*m in the form x + j*m**2 + b*m**3 + n*m and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzc when three letters picked without replacement from ekzgeekkzzcekcke?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27 and 1899?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s - 4. Let w(k) = -k - 3. Let q be 5\/3*1\/(4\/12). Let y(o) = q*m(o) - 4*w(o). Let d = -12 - -6. Determine y(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 + 15. Let l = -610\/3 + 608\/3. Which is the second biggest value? (a) l (b) 2 (c) y (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 100539?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 462*u + 34. Let d be b(17). Let q be (-18)\/(-27) + (d\/6)\/2. Suppose 2*y + 0*y = 4*a + q, 0 = 5*y + 2*a - 1681. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(162) + sqrt(162)*-2 + sqrt(162) - (sqrt(162) - (sqrt(162) - (sqrt(162) + 2*(-1 + sqrt(162)) + sqrt(162)))))**2.\nAnswer: -144*sqrt(2) + 2596","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18826 or 1185?\nAnswer: -18826","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6136 or -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 857\/78 + -65\/6. Sort a, 1, -5.\nAnswer: -5, a, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3.4? (a) -2\/19 (b) 3118 (c) 2\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 6, h: 12}. Give prob of picking 1 h and 2 f.\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 2*m = -3*m - 22, l = -2*m + 2. Suppose 348 = -2*y + l*y. What is the remainder when y is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -122327, -122414, -122541, -122708, -122915?\nAnswer: -123162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of 3\/13*m**2 - 20\/13*m - 1\/13*m**4 + 56 - 1\/39*m**6 - 12\/65*m**5 + 32\/39*m**3. Solve c(j) = 0 for j.\nAnswer: -5, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*a + 4*x = 14*a + 186, -5*a + 525 = -5*x. Calculate the remainder when a is divided by 60.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (5\/6)\/(3\/18). Suppose n + 0 = w. Let k = n - -18. What is the highest common factor of 92 and k?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71531803 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 - 9*u**2 + 7*u - 69. Calculate y(9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -184.71, -1\/3, -0.28, 5 in increasing order.\nAnswer: -184.71, -1\/3, -0.28, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 126851 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + 4*y - 0*y + 11, -11 = 5*f - 2*y. Let m be 2 - 3 - (0 + f). Let d = 7 - 5. Solve -2 = -b + 2, 14 = d*j + m*b for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -18\/31?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 43866\/4*(-32)\/(-48) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 3*x**3 + 4*x**2 - 14*x + 59. List the prime factors of a(5).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 319*t - 1123 + 1441 = -1334 - 1538 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*y + 73 + 71 - 144.\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - ((-2 - 5) + 3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10906920 and 5400.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 10:54 AM?\nAnswer: 10:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -5*o**2 - 2*o - 1. Calculate w(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1964 = -4*q - 0*d - 4*d, 4*d = -3*q + 1471. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-5)\/(-10))\/((-22)\/362). Let g = 5299\/110 - z. Let h = g + -56. Which is the closest to h? (a) 0.2 (b) 0 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*x - 10. Suppose 5*p - p + 30 = 5*j, 3*p = -5*j + 65. Sort -1, j, x in decreasing order.\nAnswer: j, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 29, -57, 0, -287, 3 in descending order.\nAnswer: 29, 15, 3, 0, -57, -287","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 1:23 AM?\nAnswer: 12:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 86\/17488005 and 71\/12.\nAnswer: 69952020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19224\/(-2492)*(-42)\/(-9).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 3*l - 23. Let y be v(9). Suppose 67*c + y*c**3 + 4*c**4 + 64*c - 119*c - 20*c**2 = 0. What is c?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 159\/2 (c) 0.2 (d) 0.1 (e) -0.51\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:08 PM and 12:14 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -76 - -92. Let r = -16.000000704 + z. What is r rounded to 7 decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 5*z**3 - z**2 + z - 1. Let c be a(1). Suppose 0 = -204*l + 210*l + 24. Put c, l, -1, 8 in decreasing order.\nAnswer: 8, c, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 7\/2 of a millimeter?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o = -2*o + 90. Let x = o - -17. Solve 3 = -m + 5*f, x*f + 5 - 2 = -m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x**4 - 11091*x**3 + 3396546*x**2 + 12581244*x + 6874632 = 0. What is x?\nAnswer: -3, -2\/3, 618","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1270938.\nAnswer: 2, 3, 31, 6833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16*c + 2 - 11*c - 3 + 1 - 4*c + 3*c - 2 + (c + 5*c - 4*c)*(3 + 2 - 4).\nAnswer: 6*c - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*v + 69 + 264 = 0 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -802503, -802331, -802041, -801633?\n\"Answer: 59*b**2 - 5*b - 802557","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14, 23, 18, -13, -82, -201?\nAnswer: -382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/4, 2\/103, -13.53?\nAnswer: 2\/103","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 + 4*f**2 + 5*f + 4. Let m be z(-3). Let j = -2 - m. Suppose j = x + x - 18. What is the greatest common divisor of x and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1077 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -46.\nAnswer: 5\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 - 10*u**2 + 3. Let g be w(-10). Suppose g*t + 146632 + 399368 = 0. Round t to the nearest ten thousand.\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 + -2)\/(18\/(-4)). What is the biggest value in -2\/5, 0.5, k?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**1)**(-8\/3)*(i\/i**(-2))**(-5\/7))\/(i*i**(-8)*i**2*i**(-2\/13)\/i**(-4\/3)) assuming i is positive.\nAnswer: i**(458\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1011110 (base 3) to base 4.\nAnswer: -31101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 - (2 - 6\/2). Let v(f) = 2*f**2 + 2*f. What are the prime factors of v(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -96226025*i. Let m(a) = 2*a. What is m(j(s))?\nAnswer: -192452050*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9*i**2*o**3 - 2*i**2*o - 4002923*i + 71*o**3 + 244*o**2 - 13*o wrt i?\nAnswer: -18*i*o**3 - 4*i*o - 4002923","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-3*(-5 + (sqrt(324) - (sqrt(324)*1 - sqrt(324)))\/(sqrt(48)\/sqrt(4)*-2)*3*4).\nAnswer: -54*sqrt(3) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 222800 and 1200.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8348092 to the power of 1\/2, to the nearest integer?\nAnswer: 2889","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yaf when three letters picked without replacement from flyalyl.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, -6, 5 in increasing order.\nAnswer: -6, -1, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 58089 and 3179.\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 103165200 to the nearest 100000.\nAnswer: 103200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 87.883 - 88. Let i = 1.883 - a. What is the third smallest value in 5, i, 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*r + 14*y - 15*y + 7, 0 = -5*r + 3*y - 4 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.02 + 1.98. Let j = -2 - -1.9. Let w = 124442 + -124445. Which is the closest to j? (a) q (b) 2.2 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3333 - 1265. What are the prime factors of g?\nAnswer: 2, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 smaller than -1173608?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1207435, -7 in increasing order.\nAnswer: -1207435, -7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 12:43 AM?\nAnswer: 5:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 2*s - 613 = -599, -8 = -n - 5*s for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 326851\/54 greater than or equal to 6054?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 593.82 rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001000010000011 (base 2) in base 7?\nAnswer: 212600","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 15 and 24950\/1729 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2*j**3 - 2*j**2 + 3*j - 3. Let s(z) be the first derivative of -z**2\/2 + 7*z + 3. Let v be s(5). Is r(v) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is aeb82 + -13?\nAnswer: aeb6f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 2*k + 14 = 0, -38*g + 5*k = -41*g - 26 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a - 10. Let q be m(16). Suppose 167 = q*t + 23. What is the common denominator of 38\/t*(-165)\/(-44) and -37\/14?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 324050 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28, -76, -136, -214, -316, -448, -616?\nAnswer: -826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(((-1)\/6)\/((-9)\/54))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 691*y - 3011 - 5281 = 0 for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2112 + 20?\nAnswer: -2022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -0.4, 151, 5\/6, 3\/4, -0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -165+-253773\nAnswer: -253938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -14? (a) -7 (b) 2 (c) -160.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 157*d - 314 = 132*d + 236 for d.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -2422*g**2 - 5*g + 5. Let u(f) = -2418*f**2 - 4*f + 4. Give 5*u(m) - 4*x(m).\nAnswer: -2402*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28, -66, -356, -938, -1908, -3362?\nAnswer: -5396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -9*y - 210. Let w = y + 36. Put -1, -10, w in descending order.\nAnswer: w, -1, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-72)\/154 - 4\/(-14)) + 2128\/(-154)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1\/17 + -20\/51. Let m = -1\/129 + 263\/645. Suppose 2*r + 7 = -3*n, -3*r = -3*n - n + 2. Which is the nearest to p? (a) 0 (b) n (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 924 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.8 + 410634599.1?\nAnswer: 410634582.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19.582989177 + 19.583. Round j to six dps.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xsxx when four letters picked without replacement from {s: 10, r: 5, t: 2, x: 3}.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -0*q + 2*q - 10, 2*q - 3*u = 0. Let n be 1 - (54\/21)\/q. Suppose -4 = -6*l + 2. Which is smaller: n or l?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115 is divided by 36.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 - -14630842095259.\nAnswer: 14630842095265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1110*u - 1886*u = -1070*u + 24990 for u.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 737\/30 + -122\/5. What is the nearest to q in 0.2, 1, 2\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2716.6 to the nearest 10.\nAnswer: 2720","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rwaawwawywyyw. What is prob of sequence yayy?\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 162 a factor of 11013?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 9. Solve -5*b - z = -2*q, -2*q = -2*b + b - 9 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**2 + 2*j**2 - 3*j**2)*(-4*j + 0*j + 5*j) + (j**3 + 0*j**3 + j**3)*(-3 + 5 + 0).\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 41*p + 3. Let q(b) = 153*b + 8. Determine -2*q(f) + 7*s(f).\nAnswer: -19*f + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -4*o**2 - 3*o - 3. Let p be -2 - 5\/(5\/(-4)). Suppose 2*a = c + p, 5*c + 8 + 2 = -5*a. Determine x(c).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 292342067 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6 + -10*5\/(-10). What is the greatest common factor of k and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 - 6*y**2 - 39*y - 39. What are the prime factors of n(-16)?\nAnswer: 5, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -166 - -253. Suppose -16*u = -15*u - j. What is the tens digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88) + sqrt(88)*-1*-6 - 1*sqrt(88)*1)*-4)\/((6*1*sqrt(72))\/(5*sqrt(36)\/sqrt(4))).\nAnswer: -20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2201587549 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 66*r**2 + 136*r + 1260. What is the tens digit of t(-11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence izns when four letters picked without replacement from ppifnisz.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2108 - 2109. Let p = 6 - 6.4. Let v = -7 - -5. Which is the nearest to v? (a) u (b) -4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 + 12*l**2 - 3*l - 7. Let m be t(11). Let r be (0 + (-12)\/(-10))\/(m\/(-30)). Which is the second smallest value? (a) 5 (b) r (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2 + 260*f + 16900.\nAnswer: (f + 130)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 175*v - 4034 + 913 = 1079 for v.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 86449 by 2.\nAnswer: 86449\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 2:27 PM?\nAnswer: 7:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -1 + -5 - 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 69498589 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 5762.16525 to the nearest 10.\nAnswer: 5760","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2436 is divided by 106.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (0 - 1) - (-11 + 7).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -125\/118716 and -81\/104.\nAnswer: 237432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -13*b**2 + 201*b**3 - 202*b**3 + 311 - 25*b - 319. Determine u(-11).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -4, 4*x + 748 - 17364 = -2*l. Suppose 8*f + 545 = x. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 + -463?\nAnswer: -462.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 400*d - 16 = 404*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, m: 3, l: 1, t: 1, q: 5, j: 2}. Give prob of sequence jt.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -36\/1865 and 0 + 6 - (-17739)\/(-1215).\nAnswer: 1865","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5570, -11086, -16602, -22118?\nAnswer: -27634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-5))\/((-612)\/4420*13)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-503*u - 603*u - 573*u)*(u - 2*u + 6*u).\nAnswer: -8395*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 - 16\/10 - (-140)\/25. Let n(g) = -10*g**2 - 10*g + 3*g + i*g - 5*g**2. Suppose -o + 0 = -1. Calculate n(o).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.161 - 0.101. Which is the second biggest value? (a) -0.2 (b) 4\/7 (c) -5 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbrbrbbbrb. Give prob of sequence brbb.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 - 47*f**2 + 32*f - 3703. Calculate o(48).\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 4\/5 (b) 45 (c) -3\/4 (d) 2\/7 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-4))\/(7\/735*-3)*(-1288)\/(-230).\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.7, 4, 0, 5 in increasing order.\nAnswer: -1.7, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 97, 93, 175, 415, 885, 1657, 2803, 4395?\nAnswer: 6505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6351281 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 PM and 5:28 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -66, -272, -626, -1134, -1802?\nAnswer: -2636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 PM and 5:29 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 34.8 + 8.687\nAnswer: 43.487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*u**5\/7 - 12*u**4\/7 - 36*u**3\/7 + 24*u**2\/7 + 78*u\/7 + 36\/7 = 0.\nAnswer: -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = f - 2*b - 981, 4*f - 4*b - 780 = 0. Calculate the remainder when f is divided by 50.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 8*l**2 + 151*l - 3693. Give v(14).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -293, -4, -19, 3, 1, -14 in descending order.\nAnswer: 3, 1, -4, -14, -19, -293","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/41, -43, 1, 1\/4, -5?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l - 1. Let t be h(-3). Let a be (-18 - 0)\/((-6)\/8). Let r be a\/(-14) - (-2)\/t. Which is smaller: r or -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -8 (b) -0.3 (c) -845816\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, m: 5, u: 2}. What is prob of sequence wuu?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4 - 5\/7 - -5. Let a = -106 - -190. Let s be 24\/a*2\/((-36)\/(-14)). Sort k, -2\/9, s, -2.\nAnswer: -2, -2\/9, s, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 46.6 + -49. Round p to 0 decimal places.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 b when three letters picked without replacement from {b: 5, n: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 3 = 2*m. Suppose a = 4*t - 2, -3 = -4*t + m. Suppose -2 = -a*d + 2. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12\/7*o**2 + 0*o + 0 - 75\/7*o**5 + 48\/7*o**3 + 15\/7*o**4 = 0. Calculate o.\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*s - 3*f, 0*f - 4*f + 14 = 2*s. Suppose -s*k + 3*u = -282, -k - 5*u + 104 = 10. Is 47 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.13 + 0.07. Let u = 2.94 + 0.06. What is the biggest value in f, 2\/13, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-5 - -6) + 1 + -5 + -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = 5*o + 16 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((42\/135)\/(-7))\/(7168\/75264)?\nAnswer: -7\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2535375?\nAnswer: 3, 5, 6761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1849513842?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -12 + (32 - 6) + (-7 - -12)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 12*s + 14. Let z be i(1). Suppose c = t + 12, c + 5*t - 8 = -z. Solve -8*r - 1 = c for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 2577.\nAnswer: -4\/2577","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 7, r: 12}. Give prob of picking 1 p and 1 r.\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/2 of a litre in millilitres?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -63*h - 5*h - 2 + 4*h to the form i + g*h and give g.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 9 = 64 + 25. Let n = -3 - -4. Let i = 62 - n. Calculate the remainder when i is divided by f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 570*n + 413. What are the prime factors of d(7)?\nAnswer: 7, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1819*k - 293758 = -462925 for k.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -21*n**3\/4 - 657*n**2\/4 - 93*n\/2 = 0. What is n?\nAnswer: -31, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*d**5 + 2*d**4 - 939*d**3 + 6368*d**2 wrt d.\nAnswer: 180*d**2 + 48*d - 5634","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w + 4*w**2 + w**3 - w. Let z be j(3). Round z to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f - 15 = -4*f, -i - 4*f - 22 = 0. Let n be (9 + -15)*i\/(-6)*-2. Solve -n*m = 2*p + m + 18, -3*p - 3*m - 9 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*b**4\/3 + 8*b**3 - 32*b**2 + 104*b\/3 - 12 = 0. Calculate b.\nAnswer: -9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 67 - (32 + -18 + 25)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = -93*w + 96*w - 13, -9 = 3*z - 3*w for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 121.\nAnswer: 1\/121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + (-4)\/16)*4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 184434997 is divided by 92217498?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 + 67 = 6*x. Suppose -10*h - 5*f + 238125 = -5*h, x*h + 5*f - 95262 = 0. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**3)\/s**8*s*s**0*s**0*s)\/(s*s**(-1\/5)*s*s*s*s*s**(-8)\/s)**(35\/4) assuming s is positive.\nAnswer: s**(115\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.187 and -18.23.\nAnswer: -18.043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 844 + -944. Let m = r - -100.06. Let u = 171 + -1537\/9. What is the closest to m in u, -1, -1\/8?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 (base 14) in base 2?\nAnswer: -100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 1, 0, 9, 6 in decreasing order.\nAnswer: 10, 9, 6, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 419, 1679, 3779, 6719?\nAnswer: 10499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -3*a. Let n(r) = 2093161*r. What is l(n(b))?\nAnswer: -6279483*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10733 or 751271\/70?\nAnswer: 751271\/70","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 44.5? (a) -0.1 (b) -1\/6 (c) -3 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence upu when three letters picked without replacement from prupuprpuuprrpruprr?\nAnswer: 70\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 77851049*t**2. Let s(i) = 2*i**2. Determine s(m(j)).\nAnswer: 12121571660800802*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 21871 or 21872?\nAnswer: 21872","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 208 = -2*p + 146, -2*p - 358 = -4*y. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6339*p + 386 = -6151*p + 10 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 3*c + 2*n, -3*n - 2*n - 5 = 0. Suppose -c + 54 = 5*m + w, w + 55 = 5*m. Is m less than 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 i when two letters picked without replacement from vrrvnivvsi?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 111 and 4218?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1353747, 1353730, 1353711, 1353690, 1353667, 1353642?\n\"Answer: -p**2 - 14*p + 1353762","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 5 + 1)*(-3 + 1 + 0)*(-2*o - 1 + 1)*((3 - 2 - 2)*(-23 + 14 - 27) + 3 + 1 - 5).\nAnswer: -840*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3144 by -6.\nAnswer: 524","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/16 of a millennium?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 5, -3, -5, 20268?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 169 and 3508726.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22061 is divided by 1371.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 to the power of 1\/2, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 + 2*t - 3. Let s be m(-4). Suppose 0 = s*b - 5, 0 = -4*k + 2*b + 172 + 58. What is the common denominator of 75\/4 and 5\/(-2)*k\/(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 + 32*u - 9. What is s(0)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-15)\/9 + 0)*420\/(-175). Solve 4 = -w, v*w = -3*r + 2*w - 8 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -289*i**3*t**2*v**2 + 12*i**3*v**2 + 7*i**2*t**2 - 2*t**2*v**2 - 11*v**2 wrt i?\nAnswer: -1734*t**2*v**2 + 72*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2\/3 + 7933*h\/3 - 814770.\nAnswer: (h - 297)*(h + 8230)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -467 - -483. Let w be (-1 + u)*15\/((-585)\/(-338)). Which is the third biggest value? (a) w (b) -1\/5 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00074 rounded to 5 dps?\nAnswer: -0.00074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -2*n**3 + 5*n**2 - 13*n + 1. Let a(y) = -2261*y**3 + 2262*y**3 + 3*y + 4*y - 2*y**2. Let x(j) = -5*a(j) - 3*p(j). Determine x(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3 and 38?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 - 3 - (-1 + -3). Let h = 0 + f. Suppose 0 = -2*r + 31 - 23. Sort 2, r, h in ascending order.\nAnswer: 2, h, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -597299.8 * 1.\nAnswer: -597299.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 919 = 37485. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 45648260 to the nearest integer?\nAnswer: 6756","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 - 6. Suppose 2*o = 0, -p + 33 = 4*o - w*o. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 5 + 5*v**4 + (-71 - 59 - 34*v**2 + 133)*(3*v + 0*v - 4*v)*(-5*v + 2*v + v) in the form k*v**4 + o*v**3 + u*v + n + a*v**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1803 and 1623301?\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1292, -2629, -3970, -5315, -6664?\nAnswer: -8017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -416*x**2 + 965*x - 249. What is t(2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 8\/5 (b) -8 (c) 1 (d) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-9)\/a**1*(a\/a**11)\/(a*a\/a**(-22\/3)) assuming a is positive.\nAnswer: a**(-88\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -2\/3, 0.0103 in ascending order.\nAnswer: -6, -2\/3, 0.0103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, p: 12}. Give prob of sequence ppu.\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 105 and 27.\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/3 - (-3 + 5))*-21. Let y = w - 45. Is (-3)\/y - (-24471)\/36 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*f**3*y**3 - 50*f**3*y + 801*f**3 - 363*f**2*y**3 - f**2 + 297*f*y**3 + 2*y**2 wrt f?\nAnswer: 18*y**3 - 300*y + 4806","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2838?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1*(-8 + 10 - -794)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -95 and -411.\nAnswer: -506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -63, -58, -53, -48?\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.8151698ml?\nAnswer: 0.0008151698","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*g**3 - 19*g**3 + 10*g**3.\nAnswer: -19*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -3*g**2. Let m(v) = 2*v + 22. Let y(h) = -1. Let u = 22 + -24. Let t(n) = u*m(n) - 44*y(n). Give t(o(d)).\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 277 + -266.02. Let y = o - 11. Let c = y - 0.78. What is c rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -32.4457 + 630.4717. Let d = w - 597. Let j = d - -3.444. What is j rounded to zero decimal places?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -357 + 366. Suppose 0 = -c*z + 8 - 62. Let q(u) = -2*u**2 - 4*u + 4. Determine q(z).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28b (base 13) to base 10\nAnswer: 453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 - 5*d**2 + 3*d - 19. Let u be v(-6). Suppose -5*r = 4*y, 5*y - 3*r = 10*y - 13. Put 1, u, y, -4 in increasing order.\nAnswer: -4, u, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and -1301.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -2*a. Let m(v) be the third derivative of 0 + 0*v + 8*v**2 + 0*v**3 + 1\/12*v**5 + 0*v**4. What is j(m(y))?\nAnswer: -10*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1145 * 5.\nAnswer: 5725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a milligram in micrograms?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 PM and 1:45 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*g**3 + 3*g**2 + 0*g**3 - 3*g**2.\nAnswer: 14*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that l**5 + 96*l**4 + 728*l**3 + 2144*l**2 + 2832*l + 1408 = 0.\nAnswer: -88, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 + 1. Let x be (-6)\/8*(-6)\/36. Which is the biggest value? (a) -1\/2 (b) x (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3962335 and 1222?\nAnswer: 611","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 6:01 AM?\nAnswer: 11:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 430309 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 205264?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1952\/7*z + 1280\/7 + 2\/7*z**4 + 768\/7*z**2 + 14*z**3 = 0. Calculate z.\nAnswer: -40, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.513 - 22.987. Let f = -21.5 - x. What is the nearest to -0.4 in 0.1, -0.3, f?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6.6 - 1.4. Let x = v - 20. Let b = x + 28.0000058. What is b rounded to 6 dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccc when three letters picked without replacement from {a: 2, c: 5, z: 8}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*h + 3*h + 2*h)*(-h + 5*h - 2*h) + 0*h + h**2 + 0*h + 0*h**2 - 2*h**2 + 4*h**2 + (-3*h + 4*h + 0*h)*(3 - 3 - 2*h) - h**2 + 2*h**2 - 2*h**2.\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 - 7*c. Let j be n(-7). Suppose 12 = 3*u - j*u. Let v(k) = k - 3. Let w be v(u). Is w not equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*i*r**3 + i*r + 23*i - 6*r**3 with respect to r.\nAnswer: 27*i*r**2 + i - 18*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 11111 (base 2) to base 11\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 PM and 4:37 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -2*k + 12, -5*k - 3*f + 6 = -13. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 375 divide 52816?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-42)\/(-8)*(-272)\/(-102) - 30.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 258125673?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 250230 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6106.5682 rounded to 0 decimal places?\nAnswer: 6107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -1. Let y(k) = 5. Let d(u) = 6*f(u) + y(u). Let o(w) = -w**2 + 2*w + 5. What is 2*d(c) + o(c)?\nAnswer: -c**2 + 2*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 5*u**2 - 4*u - 4. Let q be d(-3). Suppose z - q = -5. Suppose -v + 4*x = -64, 322*v - 317*v = -x + 26. What is the highest common divisor of v and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-618)\/18)\/(5 - 32\/6). Suppose 8652 = r*h - 82*h. Is 13 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 164 - 147 = -3*m - 4*x, 0 = 2*m + 5*x - 6*x + 15 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140 = 5*f - 0*f. What is the units digit of (1010\/(-7))\/(-2) - 4\/f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 54\/(-570) - ((22 - 5049\/270) + 14\/(-4))\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - (-12 + (-17 - -11) + 7)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*r**2 + 20*r**2 + 18*r**2 + 5*r**2.\nAnswer: 31*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + -2*(-2)\/(-4). Let o be (-10 + 140\/16)\/(2\/(-16)). Is v*o\/15*27 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-70)\/665 - 279\/(-1026). Factor 5\/6*h**2 + f*h + 2\/3*h**3 + 0.\nAnswer: h*(h + 1)*(4*h + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -113 - -114. Let u = 84 - 82. Let g = -1\/13 - 9\/52. What is the closest to s in g, -4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**4 - 35*q**3 + 40*q**2 + 80*q.\nAnswer: 5*q*(q - 4)**2*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(2\/9)*q)**(-2\/7) assuming q is positive.\nAnswer: q**(-40\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + u + 6 = 3*s, -4*s - 2*u - 12 = 0. Sort 0.3, 1, s, 2\/79, -10 in descending order.\nAnswer: 1, 0.3, 2\/79, s, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -42*m**2. Let y(s) = 5*s**2. Determine d(y(i)).\nAnswer: -1050*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 m when two letters picked without replacement from uumuoon?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -73*s + 55*s + 306. Which is bigger: s or -106?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/5, 0.5, 69583?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 232627 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -50836\/209 - -4618\/19. Let p = -0.04 - 0.26. Which is the nearest to p? (a) -0.4 (b) k (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*p**2\/7 - 29*p - 68\/7 = 0. Calculate p.\nAnswer: -1\/3, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -235.4*0.5\nAnswer: -117.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 - (2 - 96\/28). Let p = -9.9 - -5.9. Sort b, -3\/7, p in descending order.\nAnswer: b, -3\/7, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-72)\/45*20\/(-112)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*d + 4, 0 = o - 3*d - 13. Is 4 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7812310763 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 260, 552, 856, 1178, 1524, 1900, 2312, 2766?\n\"Answer: y**3 + 285*y - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 4*m = -48, 3 = 4*c + 2*m - 27. Solve 0 = -c*a - 23 - 4 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -10 + 8*f - 2 - 3*f - 1. Calculate the remainder when s(5) is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -279*w + 4414 = -188*w + 683 for w.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -1040 to the nearest one hundred.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -26*s - 2. Let g be u(-3). Let n be g\/28 - 6\/(-21). Let m be -1 - -1 - 8\/(-1). Solve -x - m = -n*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the third derivative of 4*r**9\/63 - 13*r**5\/20 + 23*r**2. What is the third derivative of h(w) wrt w?\nAnswer: 3840*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyyyyyyyy. What is prob of picking 2 y?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14 - 14 + 11*u**2 + (12*u + 11*u + 4*u)*(-31*u + 802 - 802).\nAnswer: -826*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 + (16 - 23) + (37 - 14)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -16*a**2 + a - 2. Let f(t) = 7*t**2 - 2*t + 3 + 10*t**2 + t + 14*t**2. Let m(x) = 3*f(x) + 5*p(x). Is m(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(3*2*sqrt(170) + (-1*sqrt(170)*-1 - sqrt(170)))\/((sqrt(240)*-6 + sqrt(60))\/(sqrt(96)*1)).\nAnswer: 48*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 201031 + 12?\nAnswer: 201103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*k*t**3 - k*t - 2166*k + 340190*t**3 + 6*t**2 wrt t.\nAnswer: 12*k + 2041140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -51 + 51.68. Let y = 0.32 + x. Let j = -3 + 3.2. Which is the closest to y? (a) -1 (b) 4\/7 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 160 - 158. Suppose -5*q = -2*q + 45. Let b(w) = -w**2 - 14*w + 18. Let a be b(q). Solve -1 = -j*r + a*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*w + 0*w - w)*(-2*w**3 - 2*w + 2*w) - 71*w**4 + 1893*w**2 - 1893*w**2 to the form r*w**2 + v*w**3 + l*w**4 + z*w + c and give l.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 374*k + 112 wrt k.\nAnswer: 374","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1168.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 4*z - 15 = 0, z + 43 = 4*d. Suppose -2*f + d = -5*x, -1 - 1 = x - 3*f. Let h be -7*(10\/x + 2). Round h to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - d + 1)*(0*d**2 - 2*d**2 + d**2) + d**3 - 3*d + 3*d + 2*d**3 - d**3 - 4*d**3 + 10 - 10*d**3 - 10.\nAnswer: -11*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -344*u**2 - 1454*u + 63. Let k(w) = 86*w**2 + 363*w - 14. Let q(t) = -2*a(t) - 9*k(t). Find the second derivative of q(g) wrt g.\nAnswer: -172","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**2 - 7*t - 3. Let d be n(-6). Let p(l) = -2*l - 1. Let a be p(-2). Solve 2*r = -u - 7, 12 = -d*u - a*r - 0*r for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixteen ninths of a hour in seconds?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 157926894427 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.94 - -0.06. Let g = 2.000062 - p. Round g to 5 dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/3 or 3\/59?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 2*a**2\/5 + 6*a\/5 - 8\/5 = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*m - c, -m - c = -3*m + 11. What is the first derivative of 1 - 3 + 7 + m + i wrt i?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*w = 16*w. Let d = -2 - w. What is the smallest common multiple of 18 and -102*(d + (-15)\/(-9))?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 12*z**3 + 5*z**4 + 12*z**3 + (0*z + z**3 + 0*z)*(z - 3*z + 3*z) - z**3 + z**3 + z**4 + 2*z + 2*z**4 - 2*z + z**4 + 0*z + 0*z.\nAnswer: 10*z**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/(y\/(y\/(y**(-1\/5)\/y)))*y)\/y**(4\/17) assuming y is positive.\nAnswer: y**(337\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 2*b - 12. Let i(g) = g**2 + 2*g + 6. Let h(m) = 6*m + 18. Let z(s) = h(s) - 3*i(s). Calculate n(z(j)).\nAnswer: -6*j**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of -k**5\/60 + k**4\/4 + 2*k**3\/3 - k**2. Suppose -3*b - 3*m + 5 = 2*m, -18 = -4*b - m. What are the prime factors of n(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 6 - 18 = 0. Suppose -2*x - 47 = -59. Is x >= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*c**2*q**2*r**2 - 26446*c**2*r**2 - 4186*c**2*r + q**2 - r wrt r.\nAnswer: 10*c**2*q**2 - 52892*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -4*x - 30. Let d be h(6). Let r = d + 114. Is 9 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -123230221222 + -1?\nAnswer: -123230221223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.3, 0.03, -0.09, 0.4?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1554, 1647, 1898, 2385, 3186, 4379, 6042?\n\"Answer: 13*s**3 + s**2 - s + 1541","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lltlctmltc. Give prob of sequence mttt.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7435 is divided by 232.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 210 and 201993414.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 1:08 AM?\nAnswer: 12:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3754809590 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52860 divided by 4405.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6ab4 (base 12) to base 11.\nAnswer: -8a79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -15252 divided by -9\nAnswer: 5084\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 - ((-11)\/(-3) - (21 - 17)). Which is the nearest to -2? (a) 2\/9 (b) t (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2040161366?\nAnswer: 2, 19, 1657, 32401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2211 + -11?\nAnswer: 2200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 170 = -159 for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 + 1 - 1018*p + 0 + 0 + 997*p in the form m + c*p and give m.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 9*t + 39. Let l be w(-4). Suppose 1007 = 4*u + p, -531 = -l*u + u + 5*p. Is u a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.94 rounded to zero decimal places?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -221, 2, -9, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 4*z, r = -2*r - 2*z + 6. Let x(d) be the third derivative of 0 + 0*d**3 - 2*d**2 + 0*d - 1\/8*d**r. Let u(h) = -2*h. Calculate u(x(o)).\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = 5*x. Suppose l - 203 = -0*l. Suppose y - 570 + l = x. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -95499 >= -95498?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t - t - 4 + 5 + 2*t. Calculate i(-7).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -6595*c - 2723. What is the units digit of p(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -15*q + 14. Let f(u) = u - 4. Determine -3*f(g) - z(g).\nAnswer: 12*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 6157.08us?\nAnswer: 6157080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 4:20 PM?\nAnswer: 12:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -618*p**3 - 5*p**2 - 10. Let a(q) = -309*q**3 - 3*q**2 - 6. Give 5*a(h) - 3*u(h).\nAnswer: 309*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1760?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - ((95 - 105) + (8 - 21))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -27*q**5*z - 341*q**4*z + q**3 - q**2*z + q**2 - 2*q*z - 6*z - 345 wrt q.\nAnswer: -1620*q**2*z - 8184*q*z + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4086 - 1832. What is the hundreds digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 103121 and 303?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -50, 3\/2, -0.5, -15, 1?\nAnswer: -50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 - 6*l**2 - 5*l - 4. Calculate s(-6).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 423 = -251. Let x = 352 + j. What is the remainder when 132 is divided by x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, l: 3, h: 1, b: 4}. Give prob of picking 2 l.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - -2. Let w(x) = -x**2 - 11*x + 28. Let p be w(8). Let v be (-3)\/(-4) + p\/80. Which is the closest to 1? (a) q (b) v (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/2*(-4)\/(-3). Is j smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -40008*a - 320060. Determine h(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 186\/9 - (-2)\/6. Let k = 23 - 16. What is the greatest common divisor of k and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1243467 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6\/(-4))\/(6 - 171\/30) + 8. Let i be 0 - ((-682)\/(-2))\/(-1). Let j(p) = -p - i + 341 + a*p. Let f(d) = 13*d - 1. Calculate j(f(g)).\nAnswer: 26*g - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 504 + -4537\/9. What is the closest to -0.024 in -2, 4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 PM and 5:47 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -48720646*v**3 + 16952494*v**2 wrt v.\nAnswer: -292323876","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -3*j. Let c(a) = -1462*a - 16. Let z(k) = 491*k + 6. Let x(l) = 3*c(l) + 8*z(l). What is x(t(y))?\nAnswer: 1374*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31248 is divided by 7717.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -42204765*x**2 + 55941047*x wrt x.\nAnswer: -84409530","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1963 is divided by 799.\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150*q - 10 = -141*q - 28 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13274 + -13273. Sort 0, -3, h, 86 in descending order.\nAnswer: 86, h, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 13\/(-52) - (-1)\/4 - -17. Let h be (-2)\/(-18)*(u + -20). Which is the second biggest value? (a) -5 (b) 2 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 3*p + 3696 = 0, 7*w - 8*w = p - 3676. List the prime factors of w.\nAnswer: 3, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 986945436?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - 0)\/((-22)\/(-44)). Let x be (9\/36)\/(1\/i)*-150. What are the prime factors of 2*(-2)\/(-6)*x\/10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7328*i - 156463 - 12081 = 0 for i.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (5 + -3) - -4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 5*g, -5*v + 5*g = 9*g. Which is bigger: 19\/82 or v?\nAnswer: 19\/82","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 2\/7 (b) 0.1 (c) 3 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, m: 3, p: 2, s: 6, k: 3}. Give prob of sequence ppm.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 230 and 11615.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9874*x**3 - x**2 - 30104*x wrt x.\nAnswer: -59244*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.8 + 1.8. Which is the closest to 2? (a) -1 (b) -0.3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*p = 15*p - 9. Let n(v) = 2*v**2 + 7*v + 3. Let y(l) be the second derivative of -l**4\/12 - 2*l**3\/3 - l**2 + 2*l. Calculate p*n(q) - 5*y(q).\nAnswer: -q**2 - q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 7*w - 4220. Is w a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-106)\/(-4) + (-57)\/38 is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1316425 (base 7) in base 5?\nAnswer: 21011434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12095833350 rounded to the nearest 1000000?\nAnswer: 12096000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-27)\/18)\/((-9)\/(-24)) + 2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 5*m - 31. Suppose -3*c + m = -12. Suppose 0 = 8*r - 10*r + c. Solve 7*v - r*v + 3 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 129392314 to the nearest integer?\nAnswer: 11375","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2131*z**3 - 24*z**2 + 7*z - 1 wrt z?\nAnswer: 12786","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + d - 17 = 5*d, 4*s - 140 = -2*d. Let g be 120*4*68200\/s. What is g rounded to the nearest one hundred thousand?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -6*a - 49. Let n be j(-9). Suppose -1795 = -n*k - 2*s - s, 3*k - s = 1077. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 202 + 27 = 5*i, 2*c + 194 = -6*i for i.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.5 - 2.7. Which is the nearest to 0.1? (a) v (b) -1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11351 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -1, -1481621, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36833?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 84*z**3 + 37*z + 182. Let x(y) = 14*y**3 + 6*y + 28. Let l(a) = 2*o(a) - 13*x(a). Let r(c) = 28*c**3 + 9*c. What is 5*l(v) + 2*r(v)?\nAnswer: -14*v**3 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -n + 5*r, 2*r + 3 = 3*r for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jlaazjzgzza. Give prob of picking 1 a, 1 j, and 1 z.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, w: 3}. What is prob of picking 2 t and 1 w?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qf when two letters picked without replacement from {m: 1, q: 2, b: 1, f: 4, i: 1}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6578 - -32. Suppose -2*c = -5*n + z, 4*n - 2007 - 3264 = 5*c. What are the prime factors of n?\nAnswer: 2, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3718774496 to the nearest integer?\nAnswer: 60982","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -14454*g**3 - 16*g**2 + 17*g + 23. Let n be i(11). Round n to the nearest one million.\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the first derivative of p**4\/24 + 7*p**3\/3 - 2*p**2 + 5. Let m(d) be the second derivative of a(d). Calculate m(0).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1521 - 2155?\nAnswer: -434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*n - 5*n - 20. Suppose -l - 72 = -5*r, -r - 3*r = n*l - 46. Solve 0 = 4*m - 6 + r for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o*o**(1\/2)*o)*o)\/o)**(-2)*((o**5\/o)\/o)\/((o\/o**(1\/15))\/o))**(5\/2) assuming o is positive.\nAnswer: o**(91\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(9\/7))**(2\/19)*x**(7\/6)*x**21 assuming x is positive.\nAnswer: x**(17797\/798)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -29 (b) 0.5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -731\/2016 + -55\/672. What is the nearest to 1 in 773, n, 6?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 0*t = -3*u + 14, 5*u + 5*t - 30 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108397561 is divided by 23709.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16246*p - 16253*p - 147 for p.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.0201? (a) -1\/4 (b) -4 (c) -2\/31 (d) 1\/2 (e) -5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 77340247?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 AM and 4:55 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -86.7 - -87. Let m = 13 + -8. What is the third biggest value in m, o, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 - -40. Suppose 30 = 4*k - 5*q, -3*k + 2*q + f = 6. What are the prime factors of k?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 - 3*c + 4. Let m be f(-5). Let w be 1\/(3*(-2)\/m). Factor -9*a**2 + 13*a**3 + 2*a - 5*a**4 - 3*a + w + 1.\nAnswer: -(a - 1)**3*(5*a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 171878.677 - 0.5.\nAnswer: 171878.177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 - 63 - (3 + (3 + -22 - -5)).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 31375 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-3)*21\/7\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 2 f, and 1 m when four letters picked without replacement from fvmvvmvffvmmmfmvv?\nAnswer: 9\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 15*n**4 + 15*n**3. Let d(f) = -5 + 4*f**4 + 4*f**3 + 2 + 3. Let a(z) = -22*d(z) + 6*j(z). Factor a(h).\nAnswer: 2*h**3*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129553 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83481 - 1243 = -59*z. What is the remainder when z is divided by 60?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11019\/(-225) + 17\/((-5100)\/8)\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 4 = -2*x. Let b be -1*2 - x\/(-2). Suppose 4*t = 3*u - 8, b + 17 = 3*u + 5*t. Solve 0 = -2*s + 4*s - 4*f + 14, u*s + f = 8 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 PM and 5:57 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 169 + -170.4. Let h = -2.4 - t. Let f = 0.2 - 1.4. Which is bigger: f or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9.3 + 44.\nAnswer: 34.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 53555263 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 89 - 26. Calculate the greatest common factor of o and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -2 - s + s**2 + 9 + 6*s. Let q be m(-3). Which is smaller: q or 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7460728 decades in millennia?\nAnswer: 0.007460728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - 6d1211?\nAnswer: -6d1211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*d**2 - 29*d**2 + 16*d**2 - 5828 - 5832*d - d**2.\nAnswer: -4*(d + 1)*(d + 1457)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4560 and -11275319.\nAnswer: -11270759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2934315947 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(44)\/sqrt(4) - sqrt(11)) + sqrt(11))*1 - (sqrt(11) + 2 + -5)) + (sqrt(99)*-2*1*2)**2.\nAnswer: 1587","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8931469 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -8*q**2 - 808*q + 1635. Calculate p(-103).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 108 and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 6. Let o(n) = n**3 + 8*n**2 + 11*n + 2. Does 4 divide o(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -9672?\nAnswer: -5\/9672","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1103232 (base 6) in base 11?\nAnswer: 384a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -108016*w**2 + 5*w - 1792060.\nAnswer: -216032*w + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 457, 920, 1385, 1852, 2321, 2792?\nAnswer: 3265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 122 + 2019*s**2 + 2015*s**2 - 4013*s**2 + (-1 + s + 1)*(-4*s + s + s).\nAnswer: 19*s**2 + 122","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 5*p - 194 = 0, 5*i - i - 344 = p. Let u = 116 - i. Suppose -179 = -5*y + 111. What is the greatest common divisor of y and u?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 125410 divided by 7939\nAnswer: 125410\/7939","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92 = -5*w + 1032. Let q = -57 + w. Suppose -j + n = -68, 3*j - 329 = -3*n - q. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -10*p + 6. Give w(4).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (85 - 123) + (40 - 0)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c**5\/7 + 2*c**4\/7 + 18*c**3\/7 + 22*c**2\/7 + 8*c\/7 = 0. Calculate c.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-3) - (2 + (-4352)\/3). Find the first derivative of -18 + z*t**2 - 5*t**3 - 1448*t**2 wrt t.\nAnswer: -15*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttat when four letters picked without replacement from {a: 1, b: 3, t: 11}?\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -192866*q. Let j(l) = 90*l - 1. Determine j(u(h)).\nAnswer: -17357940*h - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*t**2 - 2*t**2 - 2*t**2 + (-113*t - 2*t - 41*t)*(-2*t + t + 3*t) as f + l*t**2 + r*t and give l.\nAnswer: -314","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, -40, -67, -94, -121?\nAnswer: -148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + -2. Suppose 6*w - g*w = -d + 9199995, 5*w - 2*d - 11500010 = 0. What is w rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -x + r, r = -5*x + 7*x - 7 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -129.8576 - -11.85917. Let g = d - -118. Round g to 4 decimal places.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -150 - -3?\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 7:50 AM?\nAnswer: 2:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 259 is divided by 53?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h**3\/4 + 115055*h**2\/2 - 3309815912*h + 46326148064 = 0. What is h?\nAnswer: 14, 115048","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.21, -20, -1\/37522 in increasing order.\nAnswer: -20, -1\/37522, 0.21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 2\/19, -1, -5, 22 in increasing order.\nAnswer: -14, -5, -1, 2\/19, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggg when three letters picked without replacement from gggtgtggttggttgt.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 6\/5, 2, 9 in decreasing order.\nAnswer: 9, 2, 6\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 92\/6 + 5 + (-65)\/15. Calculate the lowest common multiple of 14 and ((-21)\/(-14))\/(6\/c).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(-168)*-8*(-1)\/(-3)*12.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 3*n**2 + 30*n + 16. What is o(-10)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 167235889 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4483 - 5769 = -324*a + 8110 for a.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -85*r**5\/3 - 460*r**4\/3 - 330*r**3 - 1060*r**2\/3 - 565*r\/3 - 40.\nAnswer: -5*(r + 1)**4*(17*r + 24)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + 9. What is the remainder when (10 - 5994\/567) + 69\/(-7)*-3 is divided by w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2330550 a multiple of 151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is b259 (base 13) in base 8?\nAnswer: 60003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o = 11*o + 8. Let w(x) = -x**2 - 5*x - 2. Let i be w(o). Which is the nearest to -6? (a) i (b) 0.2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 429240 and 208488?\nAnswer: 7297080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ox when two letters picked without replacement from xpxxxxpopbxtx?\nAnswer: 7\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 114.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -27*i**2\/5 + 327*i\/5 + 312\/5 = 0.\nAnswer: -8\/9, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 58024078 to the nearest integer?\nAnswer: 7617","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5*7\/(35\/12). Let h be ((-2)\/3)\/(j\/(-90)). Which is bigger: h or 4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3*((-40)\/12)\/2. Suppose a*g = 169 - 4. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-6) + 2 + -1. Let u = 4674.027 - 4677. Let r = u - 0.027. Which is the closest to m? (a) -16 (b) -4\/3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2540440?\nAnswer: 2, 5, 7, 43, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 w when two letters picked without replacement from uuwwwwuuuwuu?\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 5*j - 21 = 0, 6*y - y = 2*j - 9. Let z(q) = 2*q**2 - 21*q - 216. Let k be z(17). Put -2, y, k in increasing order.\nAnswer: y, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 29*v**2 - 3 + 58*v**2 + 1 - 28*v**2 to the form y*v**2 + o + t*v and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*z + 210 = 5*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**4\/5 - 27*z**3\/5 - 119*z**2\/5 - 153*z\/5 - 62\/5.\nAnswer: (z - 31)*(z + 1)**2*(z + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/10 - 5\/50*34?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6 + -238?\nAnswer: -243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 5*c + 3, -2*q = 33*c - 30*c + 15. Let n = 0.3 + 0. Sort n, c, 1\/8 in descending order.\nAnswer: n, 1\/8, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*b - 47*b**3 - 24*b**3 + 1 - 22*b.\nAnswer: -71*b**3 - 42*b + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*w = -3*g + 1458 - 483, 3*g + 2*w - 1 + 16 = 2*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83*j**3 - 2 - 5275*j - 95*j**3 - 14 - 1 + 5275*j.\nAnswer: -12*j**3 - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 0)*(8*k**3 + 52*k**3 - 33*k**2 + 2*k + 21*k**2)*(-1 - 2*k + 1).\nAnswer: 240*k**4 - 48*k**3 + 8*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 250*z**4\/9 + 850*z**3\/3 + 940*z**2\/3 + 1096*z\/9 + 16 = 0.\nAnswer: -9, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((-2*sqrt(80) - sqrt(80)) + sqrt(80))*-1 + ((-2*sqrt(405))\/sqrt(9))\/(sqrt(108)\/sqrt(192)).\nAnswer: -32*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooqmfqbogbof. Give prob of sequence gqb.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 688?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 366.\nAnswer: -109.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1778 is divided by 350.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of 583*y**5\/12 - 5*y**4\/12 - 25*y**3\/6 - 6*y**2. Let t be s(9). What is t rounded to the nearest 10000?\nAnswer: 240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -403 - 290 = -99*a for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*h**4 - 12*h**3 + 1943*h**2 - 4208*h - 41 wrt h?\nAnswer: -84*h**2 - 72*h + 3886","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 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 the closest to 2.336 in 2, 2\/9, -1\/4, -2\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2443728.\nAnswer: 2, 3, 7, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - 2. Let z be (-4)\/6*246\/4. Let b = z - -37. Sort -6, o, b in decreasing order.\nAnswer: o, b, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 595*c - 868*c = -4095 for c.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(11*2\/88). Solve x*j = 8 - 24 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22609.982 - -22553. Let l = w + 57. Let f = l - 0.218. What is the nearest to 1.3 in -2\/17, -5, f?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*z - 3*v - 11, 0 = 15*v + 65 - 20 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8190924 is divided by 1175?\nAnswer: 1174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5586 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ododoood. What is prob of sequence ooo?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = 3*z - 59 + 67, 2*z + 6 = -4*q for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/25)\/(4\/20)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/80 of a centimeter in micrometers?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.0187 and 5.\nAnswer: -10.0935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**3 + 0*d + 0*d)*(3*d + 9667 - 8*d - 9708).\nAnswer: 5*d**4 + 41*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1 * -9.1\nAnswer: -9.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-3)\/(-3) - 2\/(-1))*15?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - 1) + (-33 - -61 - 24)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 + 7039?\nAnswer: 7038.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4896 divided by 8.\nAnswer: 612","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 308935?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 412, -34, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yaarbjd. Give prob of sequence bdr.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/9*2\/8?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 145\/6 and -103\/160.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 66 and 814.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 169*u. Let a(y) be the first derivative of -y**2\/2 + 11. Determine r(a(q)).\nAnswer: -169*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + 0 + -1 + 52. Suppose 117 = 8*v + 37. What is the greatest common divisor of j and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/5 of a century?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -67798248*r**4 - 55586771*r**2 wrt r.\nAnswer: -1627157952*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -37964.\nAnswer: 1\/37964","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffllffflflffflllllff. Give prob of picking 2 f.\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*j**4)*j)**(1\/73)\/(j\/j**(-4))**(-4) assuming j is positive.\nAnswer: j**(1457\/73)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -g, 4*o - 3559537 = -0*g - 3*g. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 68298580 and 465.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 4*p**2 + 9*p - 14. Is n(-12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) -10 (c) 4 (d) 73 (e) -0.2 (f) 103\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -45982 and -0.0452?\nAnswer: 2078.3864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2611875009?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -2*w**3 - 3*w**2 - 3*w + 4. Let p(n) = n**3 - 10*n**2 - 16*n + 52. Let h be p(11). What is q(h)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -315*v - 14*v = 160*v - 18442 + 1816 for v.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 18511393 = 18511401?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1589338 and 4?\nAnswer: 3178676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6288 is divided by 3103.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-90)\/(-150)*(-1)\/(-3)*-2.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 + 7*k - 6. Let w be h(6). Let s be 14\/35 - (2 - 248\/5). Calculate the greatest common factor of s and w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + r = -4. Let k be r\/(-5)*(-5 - (-25)\/10). Solve -u = 5*n + 8, n = -0*n - 2*u + k for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*d - 13*d - 130 = 19*d for d.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 v when three letters picked without replacement from veexvvevvyee.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 + 2*k + 15. Let p be i(5). Let y be 2 - (p - 3 - -1). Solve -y + 0 = -4*s + 3*x, 4*x + 14 = s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 7*v + 9 = 3*v, 4*z + 9 = -5*v for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 - 4*a**2 + a + 5. Let l be -2 + 3 + 1 + 2. Suppose -4*t + l = -4. Suppose -d - s + t*s = 6, d + 5*s = 6. Give b(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, z: 2, i: 2, f: 7, j: 1, v: 1}. What is prob of sequence ffif?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 + 5*a**2 + 5*a + 7. Let d = -532 + 529. Give t(d).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 - 7 = -3*c. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -185 - -198. Suppose 2*r - j = 5. Solve -5*f + 3*l = 5 + r, -18 = 3*f + 3*l for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 7*b**2 + 3*b - 4. Suppose -2*l = 3*m - 2*m + 11, -31 = 2*l + 5*m. Let f be v(l). Suppose -i + f = 4*i. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 + 12. Solve -2*y - 3*y = o for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (186\/(-42))\/(153\/1071)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11 - 21 + 4*b + 80*b**2 - 3 wrt b.\nAnswer: 160","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*s + 2*s = 3*g + 8, -s - 15 = 4*g for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -2*r + 7*r + 133, 0 = -4*r - 20. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = 2*q - 13*k - 0, 4*k - 40 = -5*q. Solve 4*z + 0*u = -5*u - 5, -8 = q*z + 4*u for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 145687921.\nAnswer: 47, 179, 17317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**23*u**(2\/19))**(-38))**(-4\/25))**(2\/87) assuming u is positive.\nAnswer: u**(7024\/2175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 4*f = 79, 2*f + 316 = 2*x + 2*x. Suppose -117 = -5*m - 0*m + y, -5*y - x = -3*m. Does 3 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2183764?\nAnswer: 2, 11, 31, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -101 - -100. Let n(z) = 9*z**3 - z**2 + 1. What is n(v)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*q**3 - 601*q**2 - 2 - 2 + 297*q**2 + 301*q**2 + 4.\nAnswer: -64*q**3 - 3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2001903?\nAnswer: 3, 17, 2309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 96\/95 - 4\/19. Let q = i - 2\/15. Let v be 11 - (-4)\/((-240)\/1596) - -16. Which is the third biggest value? (a) v (b) 3 (c) 0.3 (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 + 27*w + 9. Calculate the remainder when m(23) is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1479, -3327, -5239, -7209, -9231, -11299?\n\"Answer: m**3 - 38*m**2 - 1741*m + 299","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 + -11. Let o be n\/(-2)*(-4)\/(-10). Let a = -7 - -15. What is the highest common factor of a and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*r**3 + 14*r**2 - 14*r**2)*(2*r + 1 - 1 + (84 + 153 - 403)*(2 + r - 2) - r - 3*r + 8*r) in the form s*r**4 + k*r**3 + h*r + t + d*r**2 and give s.\nAnswer: 320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 16702, 35567, 54434, 73303, 92174, 111047?\n\"Answer: n**2 + 18862*n - 2161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 21\/12151 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001001000100000101 (base 2) to base 13.\nAnswer: a62a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1428927 is divided by 1756.\nAnswer: 1299","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20557 is divided by 80?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 - 25*n**2 - 81*n + 60. Let y be g(-21). Let s = 41\/7 + -6. Put y, s, 2 in ascending order.\nAnswer: y, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13182 divided by 6\nAnswer: 2197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62697768?\nAnswer: 2, 3, 7, 17, 29, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 - 1 - (-5 - -2). Let o be 17\/2 + 2\/4. Let g be ((-18)\/72)\/((-1)\/28). Solve 3*i - g*j + 3*j - o = 0, 0 = n*i - j - 12 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j + 51*j = 98542. What is the hundreds digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 6*z - 5 = 0. Let p = z - -1. Suppose -b + 61 + 28 = p. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 3*j - 5, 2*j = 4*w + 6 - 16. What is the lowest common multiple of w and 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -10*l + 3. Let t be j(22). Let w = -209 - t. Solve -3*u - k - 2 = -2*u, -4*k = -w for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y. Let c(f) = -15*f + 1. Calculate r(c(v)).\nAnswer: 15*v - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98*j - 810787 = 1219808 + 766031. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence brrm when four letters picked without replacement from prumrbbburrpubrr?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -3*t**2 - 66*t - 424. Determine u(-9).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o**5 - 483*o**4 + 20154*o**3 - 57594*o**2 + 56643*o - 18723 = 0.\nAnswer: 1, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21574?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4, w: 5, t: 6}. What is prob of picking 1 w and 3 t?\nAnswer: 20\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3\/2 (b) 2 (c) -5 (d) -3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 85?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.2 - 0.3. Let t = 0.036 - -0.048. Let r = t + x. Round r to two dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 3*n - 99, 181 - 259 = -v + 4*n. Let y(w) = 2*w**2 + 4*w - 3. Let d be y(3). Calculate the greatest common divisor of d and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 844, -1 in decreasing order.\nAnswer: 844, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 + 30. Suppose -10*p + w*p = 0. Let r be ((-3)\/2 - -1)\/((-3)\/(-2)). Is r greater than or equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 26.67 and 88.625.\nAnswer: 115.295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -56 - -56.9. Let g = 1.58 + z. Let c = 0.32 + g. Round c to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r = -15*r + 10*r. Solve 2*t + 0 = -2*z - 14, -2*z + 4*t + 4 = r for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52 is divided by 29?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p = -80*x + 74*x + 30, 17 = 3*x - 2*p for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 722 + -433. Is 13 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -2*y + 24. Let q(t) = -t - 61. Let z be q(-20). Let v = 44 + z. What is the greatest common factor of v and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 7 = 2*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 329, 334, 343, 356?\nAnswer: 373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 891 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: b\"What is the vth term of 29, 51, 73, 95, 117, 139?\n\"Answer: 22*v + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*b**2 + 13*b**2 - 18*b**2.\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.3 in 218.37, -3\/5, 3, -5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + -5. Suppose k + 5*g - 6 = 0, -y*g - g + 14 = -2*k. Let i(m) = m + 6. Let o be i(k). Solve n + 4 = o for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, a: 1, b: 2, v: 1, o: 1, s: 1}. What is prob of picking 1 o and 1 v?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p - 3. Let u be x(6). Suppose u*i + 2 = -4*q + 28, 5*i - q - 28 = 0. Suppose -i*l = -3*l - 60. Is 20 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 648 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a hour in seconds?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2427275\/54 + 44948. What is the common denominator of i and 1\/6?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12\/7*f**3 - 6\/7 + 2\/7*f**4 + 10\/7*f + 4\/7*f**2 + 2\/7*f**5 = 0. What is f?\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/80 of a day?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4) + sqrt(4)*-2)*1)\/(-5*sqrt(2)*-2).\nAnswer: -sqrt(2)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + v + 11 = 0, -1447*k + 1449*k - 5*v - 20 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 s when three letters picked without replacement from {k: 5, s: 3}.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1165342?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of 10 - 2\/3*l**3 + 0*l**4 + 1\/10*l**5 + 0*l + 0*l**2. Factor q(a).\nAnswer: a**2*(a - 2)*(a + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27419.\nAnswer: 7, 3917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 177638580?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 233330000 (base 4) in base 9?\nAnswer: 328308","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 + -2. Let g = -36 - -41. Suppose l = -x + g*x. Solve -2*y + 2 = -x*t, 3*t + 4*y = -t - 16 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -73.7 + 762.7. Let v = -392 + d. Let h = v + -297.000133. What is h rounded to five dps?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/36 and 59\/2335332.\nAnswer: 7005996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 + -18. Does 7 divide s\/((-20)\/(-6))*-26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -6*z + 1. Let n(s) = -23*s + 32. Let h(p) = 67*p - 91. Let b(t) = 6*h(t) + 17*n(t). Give 3*b(y) + 7*u(y).\nAnswer: -9*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 v when three letters picked without replacement from {g: 3, j: 1, v: 2, e: 4}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 8*d - 4. Let w be o(3). Let q be -4 + -6*w\/(-36). Suppose -6 = 4*a + 2*v + 4, -3*a + v = 0. What is the closest to a in 0.5, 0, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 2*r**2. Let x(b) = 1472*b**2 + 10*b + 7. Give x(u(l)).\nAnswer: 5888*l**4 + 20*l**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/(j\/(j\/j**15*j)))*j**(1\/4)*j*((j*j\/(j*j*j\/j**6*j*j*j)*j)\/j*j)**18)**21 assuming j is positive.\nAnswer: j**(5817\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 231876 and 108?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 + 2*b**2 - 5*b - 3. Let p be y(-3). Let r(n) = n**3 - 2*n**2 - n - 2. What is r(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1734004190 a multiple of 1260?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -4*c. Let n be l(-2). Let a(u) = -2*u - 14. Let q(m) = 3*m + 15. Let k(f) = 5*a(f) + 4*q(f). Does 4 divide k(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 140, 2208, 7924, 19112, 37596, 65200, 103748, 155064?\n\"Answer: 304*o**3 - 60*o - 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1.8 times 0.318\nAnswer: 0.5724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s - 10. Let f be x(7). Let g = -532 - -683. Suppose -5*m - f*l = -g, -5*m + 189 = 2*l + 46. What is the greatest common divisor of 18 and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 60 and 120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.06 - 4.06. What is the third smallest value in 3, g, -2\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -30) + 2 - (1 - (18 - (8 + 12))).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/504 and -23\/15.\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/5 (b) 5 (c) -240 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-44419)\/(-473) + (1 + 0)\/11. Let o = 773 + t. Does 17 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 + 5*f**2 + 3*f + 4. Let c = -21 - -14. Let i = 4 + c. What is the remainder when 50 is divided by s(i)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21c (base 13) in base 3?\nAnswer: 111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 126, 5, 0.033?\nAnswer: 0.033","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*w**4 + 13*w**5 + 9*w + w**4 + w**4 wrt w?\nAnswer: 260*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 12:14 AM?\nAnswer: 7:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1014, 2027, 3038, 4047, 5054, 6059, 7062?\n\"Answer: -t**2 + 1016*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12.1 + 12. Let l = 68.2 + -68. Let w = 4 - 8. What is the closest to l in w, j, -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.706619 - 1.753803?\nAnswer: -4.460422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -2\/7 (b) 16 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 192689 + -131661. What is the hundreds digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 13*f**2*p**3 - 7*f**2*p**2 - 17*f**2*p + 25*p**3 - 7*p + 3 wrt f?\nAnswer: 26*f*p**3 - 14*f*p**2 - 34*f*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 154*l**2 + 19*l**2 - 51*l + 101*l - 50*l.\nAnswer: 173*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of -v**3\/3 + 48*v**2 - 2304*v + 667. Factor n(x).\nAnswer: -(x - 48)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 125*i**2 - 9*i + 2*i - 125*i**2 + 242*i**2 to n*i + u*i**2 + z and give u.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -38883 + 116651\/3. Which is the nearest to -2\/113? (a) -0.2 (b) i (c) -2\/5 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 5*b - 0 - 5, -3*b - 7 = -2*x. What are the prime factors of b\/(-2*(-1)\/(-10))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*3*(sqrt(224)*-1)\/sqrt(8)*-6)**2.\nAnswer: 326592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*h + 134 = 6 - 22 for h.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -29*l**5 + l**4 - l**3 - 58*l**2 + l - 1. Let m(c) = c**3 - c**2 + c + 1. Let y(a) = m(a) + n(a). Find the third derivative of y(i) wrt i.\nAnswer: -1740*i**2 + 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23 + 13. Let g = -10 - y. Let a(n) = -n**3 - 4*n**2 + 25*n + 102. Let d be a(-5). Solve -d*u = -g + 6 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -312799*q**2 - 74*q + 11117?\nAnswer: -625598","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v**5\/5 + 2836*v**4\/5 + 8*v**3\/5 - 22688*v**2\/5 - 16*v\/5 + 45376\/5 = 0. What is v?\nAnswer: -2, 2, 2836","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 + 19*a + 38. Let q be x(-17). Put q, 0, -5 in decreasing order.\nAnswer: q, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1334\/6 + 8\/12. Let w = a + -110. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2895654 is divided by 1373.\nAnswer: 1370","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 2*q = -2*q - 1, -2*q - 8 = 0. Let k = 9 - z. Calculate the remainder when k\/(-3)*90\/(-12) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32298 (base 10) in base 6?\nAnswer: 405310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 629 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1065700228*f**3 - 6525*f - 68081?\nAnswer: 6394201368*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.2, -5, -1.9, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4022?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11.4 - -12.08. Let l = 0.48 - o. Let k = -1 - 0. Which is the closest to l? (a) 2 (b) -3\/8 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -73*a + 13. What is the hundreds digit of b(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124 is divided by 22.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0207824 * 2.\nAnswer: -0.0415648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5)\/(-1)*(-4)\/(-5). Suppose c = g*c + 6. What is the common denominator of ((-111)\/12)\/(9\/c) and 57\/2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*k**2 - 81*k**2 + 11*k**2.\nAnswer: -79*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65 is divided by 58.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -15 - 8*d**2 - 13*d - 3*d + 7*d**2 - d. Let f be t(13). Calculate the common denominator of 0 - -4 - f\/(-42) and 109\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 - 7*u + 110. What is o(8)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1083 + -4?\nAnswer: 107b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -73 + 143\/2. Let n = -8 + 4. Which is the second biggest value? (a) 3 (b) n (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1239180 or 38\/5?\nAnswer: 1239180","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -90*r**3 - r**2 + 1. Let x be b(-1). Suppose -3*c - 122 - 143 = 4*j, -c - 3*j = x. Let n = -27 - c. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/6)\/(10*(-11)\/(-275)*(-45)\/(-108)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2927 divided by -19165.\nAnswer: -2927\/19165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + -3. Let j = -36.19 - -36. Let v = 0.01 - j. What is the second biggest value in o, v, 4\/7?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**2 + 6*p + 7. Calculate m(-7).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 28*m**3*r**3 + m**3*r + 13*m**2*r**3 + 9*m**2*r - r wrt m.\nAnswer: 168*r**3 + 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2143 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 PM and 4:44 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 559?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19)\/(-4) - ((-264)\/32)\/(-11).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2085)\/(-15)*(-19)\/171*9.\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in 2\/4551, 3, -2, 118?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(77)*-4 + sqrt(77))\/(sqrt(220)\/sqrt(5)).\nAnswer: 17*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 33922 divided by 14?\nAnswer: 2423","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of (-44)\/((-66)\/54 + 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4768, 9570, 14420, 19318?\n\"Answer: 24*t**2 + 4730*t + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 328 a factor of 10432368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10154 + 10883. What is the remainder when s is divided by 51?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 95 = 10*s. Suppose -23*i - 4 = -s*i. What is the lowest common multiple of 11 and 1\/(4*(6\/(-8) - i))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7 + -b0?\nAnswer: -b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 49*s - 68. Let z be y(-7). Let l = z - -411. Solve -6*g + 2*g + 4 = l for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -884 divided by 221?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1608 * -16.558\nAnswer: -26625.264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -55566 to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 6 = 5*b, 0 = j - 2*b - 9 + 7 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 5*i**3 - i**2 + 2*i - 4. Let v(y) = 7 - y - 9*y**3 + 3*y + 2*y**2 - 5*y. Let d(h) = 7*q(h) + 4*v(h). Calculate d(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4 + 72*p**2 + 7*p + 3 + 1 - 63*p**2 - 29*p**3 wrt p?\nAnswer: -174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 250700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q**3 - 7 - 2*q - 8 + 14 + 2*q**2 to the form v*q**3 + m + r*q + g*q**2 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*r**3*y*z**2 + 4*r**3*y*z + 6*r**2 - r*y*z - 476*r*z**2 - 107*y*z**3 + 53*y*z - 27*z wrt z.\nAnswer: 12*r**3*y - 952*r - 642*y*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 10*i**2 + 14*i + 16. Let y(o) = -2*o**2 - o - 1. Suppose 0 = 5*t - 10*t - 5. Let p(h) = t*z(h) - 6*y(h). Determine a so that p(a) = 0.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 - 6*t**2 - 5*t - 6. Let b be h(-5). Let z be b\/(-10) + 13\/(-5). Let p be 18\/5 + z\/(-5). Solve p*c + c - 5 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + (41 - (8 - -27))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 341854668?\nAnswer: 2, 3, 29, 36383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tvixl. Give prob of sequence li.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-50)\/(-3) + 8 - 4\/6. Let l = k - 2. Suppose -1 = 2*n - 9. What is the smallest common multiple of n and l?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -567*x + 2 + 316*x - 1143*x.\nAnswer: -1394*x + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (124\/((-8)\/(-4)))\/(-3 + 2). Let d = 58 + j. Let x be 3*(d - -3) + 4 + 61. Is 63 less than or equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 + 4*j**2 + 4*j + 2. What is a(4)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(2 + (6 - 7)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 633 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1121 (base 3) to base 2\nAnswer: 101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1725813017 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2336, 4584, 6822, 9044, 11244, 13416, 15554, 17652?\nAnswer: 19704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 6, v: 4, s: 3}. Give prob of sequence ss.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 886195.1 meters to kilometers.\nAnswer: 886.1951","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddddaddddaddddadd. What is prob of picking 3 a and 1 d?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/22137 and 143\/120576.\nAnswer: 5667072","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 - 4*k**2 + 8*k + 4. Give a(-6).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 57.2111066966 and -51?\nAnswer: 108.2111066966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 0\/(-4) - -8 - -916?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 + 3*j + 3. Let w be x(-2). Suppose t = 3*l + w*t + 4, 0 = -2*l + 3*t - 14. Suppose -4*f - 8 = -0*f. What is the nearest to f in 3\/2, l, 0.5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbdbdpjdddbdbddbbdb. Give prob of sequence bbj.\nAnswer: 28\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -390, -813, -1236?\n\"Answer: -423*h + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-116)\/(-9 - (-2 - 5)). Solve -g*j + 56*j + 10 = 4*b, 0 = -b - 5*j + 25 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101100100001 + 10111101000110111?\nAnswer: 10110111100010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -970 - -956. What is the nearest to q in -1\/5, -2, -3, -1\/9?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 2*y + 1. Let r(u) = -2*u - 39. What is -2*g(a) - r(a)?\nAnswer: -2*a + 37","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 219*l**3 - 62*l**3 - 67*l**3 - 33*l**3 - 66*l**3.\nAnswer: -9*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 3*p + 88. Let h be z(-30). Let r(k) = 2*k**2 + 5*k + 4. Let a be r(h). Solve 0 = 4*m - 7*m + 5*d, -19 = -a*m - 3*d for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (2 + sqrt(180) - -2*sqrt(45)*1) + 4.\nAnswer: 2 + 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 176 and 32.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 534?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*o = -7*o, 0 = -2*m - o + 280. Is m a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4375 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (-2)\/(-4))*(195\/35295)\/(3\/(-12)).\nAnswer: -2\/181","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21 or 21\/2?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -368, 0, 4 in ascending order.\nAnswer: -368, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 225153?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -4*u**2 - 3*u - 1. Let q(l) be the first derivative of l**2\/2 - 3*l + 2. Let w be q(0). Let y(n) = 3*n**2 + 2*n. Determine w*y(f) - 2*h(f).\nAnswer: -f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 5*t - 173. Let o = t + -27. Solve -o*u - 25 = -10*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 43, -34.63, -14, 2\/11?\nAnswer: -34.63","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -8. Suppose -3*k + 5*u - 91 = -103, -k + 5*u = -14. What is the nearest to k in 10, 0.5, x?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(3\/8))\/(b*b*b\/b**1*b)*b**7\/b*b**(2\/15))\/((b\/(b*b**1\/b))**(-13)\/(b**(-1\/3)*b**(-2\/5))) assuming b is positive.\nAnswer: b**(151\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1\/3 + 1)*3. Suppose 39 = 4*y + 2*m + 13, 2*y - x*m = 28. What is the lowest common multiple of 14 and (-2)\/y + 445\/20?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 10 = -2*b + 75, -5*r - 250 = -5*b. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 37 (b) -1\/2 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 9:02 AM?\nAnswer: 9:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1378, 2993, 4924, 7249, 10046, 13393?\nAnswer: 17368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the second derivative of -p**4\/12 - 3*p**3\/2 - 5*p**2\/2 - 9*p. What is g(-6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1003*i**2 - 485*i**2 - 428*i**2.\nAnswer: 90*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z**3 - 3*z**3 + 2*z**3)*(0*z + 6*z + 4*z) - 2*z**4 - 4*z + 4*z.\nAnswer: 28*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v**2 - 1496*v - 559504 = 0 for v.\nAnswer: -748","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 5, 0 = -2*c - 2*r - 0*r + 18. Suppose -2*b + 35 = 5*n, -n + c*b = -b + 20. Suppose 5*w = 4*w. Solve n*y = -5*d, w = y - 5*d - 10 - 20 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 250, 249, 248?\n\"Answer: -y + 251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7562 + -7325. Solve r*o - 247*o = -50 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*o**2 + 6*o**2 - 13*o**2 - 21*o**3 + 5*o**2 in the form m*o**2 + t + q*o + h*o**3 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 - 2*h + 83 + 7)*(2*h - h - 2*h).\nAnswer: 2*h**2 - 76*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16181 and 66?\nAnswer: 97086","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -205\/2 or -103?\nAnswer: -103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -1\/4 - 1\/4*v**2 - 1\/2*v = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9488170 by -20.\nAnswer: 948817\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(288) + 1))**2.\nAnswer: 384*sqrt(2) + 4624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**4\/3 + 16369*h**3 + 245460*h**2.\nAnswer: h**2*(h + 15)*(h + 49092)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 2382458?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -6\/7 (b) -1 (c) -1\/6 (d) 31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 10:41 AM?\nAnswer: 5:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 270 by 15.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - 0.3. Let n be (4 - 3) + 6\/(-2) - 1. Is c >= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.995 (b) -0.029 (c) 3 (d) -9 (e) 2\/9 (f) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 14) in base 2?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1400578?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 511, 988, 1465?\nAnswer: 1942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/3653952 and -7\/228372.\nAnswer: 3653952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -444*u - 1776. Determine r(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence odjd when four letters picked without replacement from joodjddddttddtjddd.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in five eighths of a centimeter?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 965665.\nAnswer: 5, 193133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 78723*o - 12*o**3 - 13*o**2 + 3*o**2 + 5*o**2 - 78724*o + 2 in the form v*o**3 + k + r*o**2 + j*o and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32995428?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1112112 (base 6) to base 14\nAnswer: 166a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.22 - 10.22. Let n = -10.000026 - j. Round n to 5 dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 minus 0.05621?\nAnswer: 36.94379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 96471?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9596 is divided by 300?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -144561 by -48187.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 853 = -19*r + 720 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 4*v = 3 - 7, -3*w + v = 7. Let g be (-4)\/(4 + w) - -5. Let n(j) = -39*j + 6 + 37*j + 3*j**2 + 0*j**2 - 4 - 2*j**2. Determine n(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -217\/47 - -9099\/1645. Find the common denominator of 1362\/2772 + 1\/(-6) and k.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 11) to base 16.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1104 less than -13690?\nAnswer: -14794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 4*f**3 + 6068*f**2 - 723280*f - 729344 = 0.\nAnswer: -1628, -1, 112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -58*g + 2. Let p be j(-1). Let m be (-4)\/3*p\/(-80). What is the second smallest value in 2\/7, m, 5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 - s + 6. Let o be ((-4)\/5)\/((-13)\/65). What is the tens digit of h(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2718930 or 12\/13?\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(2548)*-1)\/(sqrt(16)\/(sqrt(4) + sqrt(8)\/sqrt(2)) - (sqrt(4) - sqrt(16)*5)).\nAnswer: 42*sqrt(13)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 361?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m**4 - 37392*m**3 + 149504*m**2 = 0 for m.\nAnswer: 0, 4, 9344","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, 1, 7.\nAnswer: -3, 1, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*13 + (-1106028)\/85082. Is 0 at most as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 165094?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**0)**(-27\/5)*(((y**1\/y)\/y)\/y)**(14\/9))**(-1\/50) assuming y is positive.\nAnswer: y**(14\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 698452?\nAnswer: 2, 174613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - 1. Let z be (1 + (-2)\/w)\/(-1). Let b = 10 - z. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95089*i**3 + 95072*i**3 - 190162*i**3 + 0 + 4 + 0 - 4.\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 49121\/1590 + -158\/159. Let l = 57\/5 - t. What is the common denominator of 1\/(-40)*82\/6*930\/(-124) and l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10271?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.2 and 1.5787856563.\nAnswer: 1.3787856563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - 3. What is the remainder when 2*(-3)\/9*z is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -48*k - 179. Calculate t(-8).\nAnswer: 205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (37\/15 + -3)\/(6\/15). Let f = -1\/26910 - 123767\/511290. Let n = 3\/19 - f. What is the second biggest value in x, n, -4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10\/(-9)*(4 + 263457\/198). Let q = u - -1483. Suppose 2 = r - 1, -3*d - 15 = -5*r. Which is smaller: d or q?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*a - 7*f + 3*f + 2 - 22, -2*a - 145*f - 284 = -0*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33, -44784, -1, 1 in increasing order.\nAnswer: -44784, -33, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 42 or 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 u, 1 t, and 1 b when four letters picked without replacement from {t: 1, w: 3, u: 6, b: 2}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -4*c**5 - 32216564*c**4 - 128866216*c**3 - 193299304*c**2 - 128866196*c - 32216548 = 0.\nAnswer: -8054137, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3551 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*q - 6681 = -3. What are the prime factors of q?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3091 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2191, -2, -131 in descending order.\nAnswer: 2191, -2, -131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -37\/56 or 0?\nAnswer: -37\/56","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 + 17*l + 32. Let m(o) = o**2 - o - 12. Let x be m(4). Suppose 7*r + 105 = -x*r. Let w be g(r). Solve -2*u + u = -w for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 + 8*t**2 - 10*t - 21. Let a be h(9). Is a\/(-9)*165\/44 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d and 1 p when four letters picked without replacement from {f: 3, p: 5, s: 2, k: 3, d: 3}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(3\/8)\/(q**(-10\/9)*q))**(-1\/20) assuming q is positive.\nAnswer: q**(-7\/288)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**5 - 17*v**4 - 2*v**3 + 898*v**2 - 1727*v + 847.\nAnswer: (v - 11)**2*(v - 1)**2*(v + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1265 equal to 1248?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -392, -1576, -3544, -6290, -9808, -14092?\nAnswer: -19136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3 and 591?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -11717073*l**3 - 2585104?\nAnswer: -35151219*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1193 = 6*z + 7949. Let r = z + 1644. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14475 and 390.\nAnswer: 376350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -461 - 14?\nAnswer: -475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2, 0, -12, -40, -90, -168, -280?\n\"Answer: -j**3 + j**2 + 2*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 18, 3, 4, -1, 15, 50.\nAnswer: -4, -1, 3, 4, 15, 18, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1023? (a) -2 (b) 0.03 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 725457 is divided by 113?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of -5*k**6\/18 + 13*k**5\/15 + 13*k**4\/6 + 8*k**3\/9 - 870. Determine f so that a(f) = 0.\nAnswer: -1, -2\/5, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3\/943 - -2859\/9430. Which is the second biggest value? (a) 20 (b) 2\/11 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9108796 is divided by 200?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -f**4\/8 - 47*f**3\/8 - 475*f**2\/8 + 1875*f\/8 = 0?\nAnswer: -25, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 190019?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18475 is divided by 836.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-1)*-3*(-19)\/19*(-651)\/(-63).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-29 - (-4 + -28))\/(3\/(-11)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {u: 2, a: 10}.\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 5, a: 1, k: 5, o: 3, u: 5, r: 1}. What is prob of picking 1 u and 1 k?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 535*d + 3 = -3*u + 1013, 2*u + 2*d = -0*u - 2*d - 22 for u.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/(-6) - (-14)\/4. Suppose 0 = -m*z - 3*w + 39, 2*w + 39 = 3*z - 2*w. Is z a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (70\/15 - 4)\/((-2)\/60) and -31\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2. Let l(z) = -54*z + 2. Determine l(u(b)).\nAnswer: 54*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uxxu when four letters picked without replacement from {x: 7, u: 5}.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 + 10*b**2 + 27*b - 169. Let s be y(11). Calculate the greatest common factor of s and 910.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -5*n + 6. Suppose y + 55 = -3*v + 6*y, -v - 13 = -3*y. Let t = 19 + v. Is 18 a factor of j(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 12*c - 3. Let p be b(2). Let z = 65 - p. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4621 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - -3. Let m(v) = v**2 + 117*v - 31 + 31 - 126*v. Calculate m(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(-7))\/(l**14*l))\/(((l**(-6)*l)\/l)\/(l\/(l*l*l*l**(-5)))) assuming l is positive.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, m: 4, c: 5, t: 2, x: 5}. What is prob of sequence tmmm?\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i - 7*i = 3*v + 39, 0 = -2*i - 2*v + 64. Suppose 2*r - 385 = -5*c, -r + 2*r = -5. What is the remainder when c is divided by i?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 69771 and 99489.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26 - 19. Suppose p*z - 2*z = 20. Suppose w + z*d = 4, 2*d = -2*d - 4. Solve 2*f - 2*n + 20 = 0, 2*f + 4*n - 2 = w for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**3 - 414315*y**2 + 414312*y.\nAnswer: 3*y*(y - 138104)*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 1 - 25. Let x = -5 + b. Let k be x*(-3)\/(15 - 3). What is the third smallest value in 3, -4, k?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -222*r - 1397 = -287. Put r, -2, 227, -3, 1 in decreasing order.\nAnswer: 227, 1, -2, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7266 is divided by 1201?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * 5.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1510673.\nAnswer: 37, 40829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(245) + -3*(sqrt(245) + 1 - sqrt(245)))**2 + (0 + 2*sqrt(245) + 4)**2.\nAnswer: 126*sqrt(5) + 1242","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -595*o**2 - 590*o**2 + 1771*o**2 - 585*o**2. Let g(i) = -10094*i. Calculate g(y(q)).\nAnswer: -10094*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 15561217 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -624 + 924. Calculate the greatest common factor of q and 120.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 + 1. Let g be n(-2). Let d(y) = 2*y**2 - 4*y + 1. Let v be d(3). Let j = g + v. Solve 0 = -3*u + j*u - 5 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 2*(sqrt(162) + 2) + 4 + 3)**2.\nAnswer: 576*sqrt(2) + 904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-nine halves of a litre in millilitres?\nAnswer: 39500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 892 and 8028?\nAnswer: 8028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -17088 + -1?\nAnswer: -17089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -53*o**2 + 5*o - 12. Let q(n) = 212*n**2 - 20*n + 46. Determine 6*q(g) + 23*s(g).\nAnswer: 53*g**2 - 5*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {f: 8, z: 4, g: 1, e: 4, j: 2}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(3*4\/(-324)). Let t = x - -9. Does 12 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-j - 2*j + j)*(15 + 5 + 2*j - j) to r + x*j + n*j**2 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2 + 6*i. Let x(w) = -9165*w**2 - 12*w. Let h(s) = 2*a(s) + x(s). Let q(m) = -m. What is h(q(v))?\nAnswer: -9167*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-27)*r*r**(-1\/8) assuming r is positive.\nAnswer: r**(-209\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -416024 by -29716.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 16087 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3975150 to the power of 1\/2, to the nearest integer?\nAnswer: 1994","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 10973 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2\/2 - 1473*t - 20671\/2.\nAnswer: (t - 2953)*(t + 7)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 7, g: 2, f: 6, c: 1, p: 2, x: 1}. Give prob of picking 1 f, 1 x, and 1 g.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 105 (b) -4 (c) 173 (d) -1 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = 3*r - 5*g - 7, r + 18 = -5*g for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -64338.2 * 8.\nAnswer: -514705.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 433429 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(((sqrt(208) + 0 + sqrt(208))**2 - (-1 + sqrt(1872))**2) + 4).\nAnswer: -4148 + 96*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + -9. Let l(s) = s**3 - 3*s + 4. Let z(c) = -6*c - 1 + 4*c + 4. Determine u*z(b) + 2*l(b).\nAnswer: 2*b**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12951 is divided by 1841?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 + (9 - 6 - -8).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2550)\/90 + 1\/3. Let b be h\/(-350) + 3146\/50. Calculate the highest common divisor of 9 and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 330 divide 79774835?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 10, 24, 44, 70, 102, 140?\n\"Answer: 3*j**2 + 5*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*1\/(-14)*(-24)\/(-36)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 349490.\nAnswer: 2, 5, 34949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6007 is divided by 5951.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23.065 + -0.135. Let n = 23 + o. Suppose -i - 2*i = 9. Which is the second smallest value? (a) 0 (b) i (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w - x = 25, -2*w - 169*x = -172*x + 25 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 69.181 to 0 decimal places.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -86, 76, 328, 658, 1054, 1504, 1996?\n\"Answer: -2*w**3 + 57*w**2 + 5*w - 146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 - 9*i**2 + 4*i + 5. Calculate the remainder when j(-10) is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -4 + f**2 - 5*f + 11 + 0 + 1. What is the units digit of s(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-3774824.\nAnswer: -7549648","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 289859?\nAnswer: 289859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of u**4\/12 - u**3\/2 - u**2\/2 - 9*u. Suppose -3*c + 3 = -7*c - w, 5*w = 25. Is 9 a factor of l(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + 71 + -85 - (-19 + (2 - 4))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-5))\/o)\/(o**(-1\/4)*o)*(o**(-2\/5))**2 assuming o is positive.\nAnswer: o**(-131\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5832275.\nAnswer: 5, 17, 13723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 4*m = -2, -j - 2*j + 4*m + 5 = 0. Suppose 0 = -l - 2*l + 2*x - 27300010, 27300005 = -j*l + x. What is l rounded to the nearest one million?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50.172542 rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18 - 38 - 29)\/1?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -39689 or -21659?\nAnswer: -21659","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -46450 + 4?\nAnswer: -46446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiliiliiiiliill. What is prob of sequence ll?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -75*23000\/150000*(3\/1)\/(6\/(-8))\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6*(31\/2 + -2). Let a be 38\/9 + (-18)\/c. What is the greatest common factor of 28 and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2 - 9982*y + 39896.\nAnswer: 2*(y - 4987)*(y - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 529419.\nAnswer: 3, 11, 61, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.5080093 to 1 dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7 - -1b90e4?\nAnswer: 1b90dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14 - 24 - -3)*(2\/(-2))\/1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 62527*z + 21 = -x - 62526*z, 3*x + 29*z = 487 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-1\/7)*h*h\/(h*(h\/(h*h\/((h\/h**(2\/3))\/h))*h)\/h) assuming h is positive.\nAnswer: h**(53\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -302 = -7*r + 1287. Calculate the remainder when r is divided by 82.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 912 divided by -12?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.671 + 0.7. Let f be -1041*19\/(-855) - 23. Does j = f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 4*x + 17 - 8, -x = 3*w - 6. Let h = w - 7. Which is the nearest to 7? (a) 7 (b) h (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7592 + -7591. Is -694\/3 less than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12637425*u**2 + 2*u + 19828980?\nAnswer: -25274850","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rdrudrdurrururqrrrd. What is prob of picking 1 r and 2 u?\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*q + 25*q = 15. Is (-3)\/((-18)\/3278)*q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -58*i**3 + 17*i**2 - 21*i + 3. What is v(1)?\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -59 + 53. Let g(b) = -10*b**3 - 40*b**2 - 58*b + 12. Let n(v) = 29*v**3 + 120*v**2 + 175*v - 34. Let c(p) = o*n(p) - 17*g(p). Solve c(x) = 0 for x.\nAnswer: -8, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20257\/526 - 3\/263. What is the common denominator of (-3)\/((-27)\/(-158))*6\/8 and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and ((2706\/(-24))\/(-11))\/(1\/8)?\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -174480 - 0.2.\nAnswer: -174480.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5410 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9113?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (35 - (21 + -26)) + -24 + (-42 - 7)\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 - 12*p**2 - 17*p + 24. Determine q(-10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 0*d + 3*b + 6, -22 = -3*d + 4*b. Suppose -d*c = -c - 148. Suppose 4*r = 4*a - c, 0 = 4*a - a + 4*r - 146. List the prime factors of a.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -109951 or -105066?\nAnswer: -105066","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = -4*w + 16, -n + 8 = 4*w + n for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 323134 and 154?\nAnswer: 3554474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 80*f*h**2 + 478396*f*h - 2515*h**2 wrt h.\nAnswer: 160*f - 5030","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1337, -2496, -4429, -7136, -10617, -14872, -19901?\n\"Answer: -387*a**2 + 2*a - 952","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 208 + -620. Let i = -221 - f. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 2*h = 56. Let k(o) = 6*o + 2. Let d(z) = -z. Let v(l) = h*d(l) + 2*k(l). Calculate v(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1647873 - -0.262781298.\nAnswer: -1647872.737218702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16 - -11. Does 10 divide 453\/a + (-4)\/(-18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 716?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*h - 8 = -68. Let j(d) be the second derivative of -2\/3*d**3 + 1\/10*d**5 + d**2 + 0 - 3*d + 1\/6*d**4. Give j(h).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1721298, -1721280, -1721250, -1721202, -1721130, -1721028, -1720890, -1720710?\nAnswer: -1720482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 48 + -42. Suppose 0 = -0*y - 3*y. Find the second derivative of -s**3 + 0*s + s - n*s + y*s wrt s.\nAnswer: -6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3045729744 to the nearest integer?\nAnswer: 1450","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -49\/2340 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -90 - -150. Suppose 4*g = 2*p + q, 0 - 4 = -p. Calculate the remainder when 69 is divided by g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1019061 is divided by 203805.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -706*z - 1260 wrt z.\nAnswer: -706","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 3*y = 4*s + 44, 0 = 4*s + 3*y + 9. Put s, -4, 2 in descending order.\nAnswer: 2, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9727496.\nAnswer: 2, 41, 47, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3068.81358 rounded to the nearest 10?\nAnswer: 3070","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.835 + 3.735. Which is the third smallest value? (a) 0.2 (b) 7389 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 3*l = -l + 25, -4*l + 15 = 3*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -8*w**2 - 3*w. Suppose -2*t - 2*t + 100 = 0. Let i(n) = -65*n**2 - 25*n. What is t*o(q) - 3*i(q)?\nAnswer: -5*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*i - 3*i - 5*i + 0*i to h + k*i and give k.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.5 (b) 5 (c) -0.311\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*b + 0 + 0)*(7897 + 48031 + 40075 + 23989) to c*b + m and give c.\nAnswer: -239984","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-36162)\/(-14063))\/(1\/(84\/(-99)))?\nAnswer: -24\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1217 = 9*r + 1181. Solve -2*a + 3*t = -t + r, 0 = 5*a + t + 21 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5\/7 (b) -0.5 (c) 0.5 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1.6 (b) 0.07 (c) -2 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from attaaaaaaaaaaaatat. What is prob of sequence tt?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/1499959808 and -63\/22.\nAnswer: 16499557888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 7*o - 1. Let w be (6 - 5)\/(2\/10). Suppose 0 = -w*z - 4*m + 15, 2*z - 2*m = 6*z - 18. Let q be (-34)\/z + (-2)\/14. Let a(x) = x. What is q*a(k) + d(k)?\nAnswer: 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 64235674 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8613 - -8714. Solve -x*r - 10 = -96*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -3*m + 16, -6*m + 2*m = -5*g - 15. Let r(w) = -13861*w**3 + 13862*w**3 - 2 - 81*w + 82*w - w**2. Give r(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 110 - 772\/7. Let n = 8 + -7.9. Which is the closest to n? (a) -2\/3 (b) j (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 331?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -2*t**2 + 15*t - 12. Let u be n(6). Let s(i) = -u*i + 4*i - 13*i + i**2. Let m(f) = f**2. Determine m(s(y)).\nAnswer: y**4 - 30*y**3 + 225*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*t = 13*t. Determine a so that 0*a + t + 1\/3*a**3 - 1\/3*a**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 140 - 140.179. Let f = l - 159.821. Let y = 160.00000069 + f. What is y rounded to seven dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6*z**4 + 5*z**3 - 1023?\nAnswer: -24*z**3 + 15*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*y - 241 - 210 - 200 + 1050 - 202 - 197.\nAnswer: -69*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve c**4\/6 - 185*c**3\/6 - 1919*c**2\/6 - 2005*c\/2 - 975 = 0 for c.\nAnswer: -5, -3, -2, 195","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 98930979 to the nearest integer?\nAnswer: 9946","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 + k - 2. Let t be v(2). Let i be (12\/6)\/(t\/10). Solve p + i = 1 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 79, 97, 141, 223, 355?\n\"Answer: 2*s**3 + s**2 + s + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 - 2)*(-1 + 1 - 2*c)*(-5 + 3 - 2*c + c)*(33*c**2 + 39*c**2 - 41*c**2).\nAnswer: -248*c**4 - 496*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((4*sqrt(68) - sqrt(68)) + sqrt(68))*5 + 2*sqrt(68)*4 + sqrt(68))\/(3*sqrt(324) - -4*sqrt(400)).\nAnswer: 29*sqrt(17)\/67","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 d when three letters picked without replacement from dddddcdddcddddc?\nAnswer: 198\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (140\/(-84))\/((16\/4)\/12)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 15\/5*8\/6. Suppose -z*b = -2*q + 1102, -4*q - 5*b = -5*q + 557. What is q rounded to the nearest ten?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 5*r + 126, r - 4*r - 72 = -3*x. Let t be (-4)\/(-26) + (-48)\/r. Solve -5*k = t*v - 8, k - 8 = 2*k - 2*v for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -50a1607 (base 11) to base 3\nAnswer: -121221120021220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*u + 23*u + 12 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (3 + -18)\/((-2241)\/1992*4\/6*-2)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 + 7*k + 5549. Calculate d(78).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 x when three letters picked without replacement from {n: 6, x: 6}?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 + 135*y + 2067. What is n(-17)?\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3*12\/(-63)*39\/52. Suppose d - 23 = 4*f, 3*d - 5*f = 2*d + 20. Let r be (-10)\/d + 19\/42. Which is the second biggest value? (a) 5 (b) t (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - 4) + 12 + 22 + -22?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 0*t - 6. Suppose 2*c = t*c + 4*x - 64, 36 = c - 4*x. What is the remainder when 8*(9 - 184\/(-32)) is divided by c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 301948446.\nAnswer: 2, 3, 50324741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 15\/6*15\/2. Let q = -20515 + 20517. Factor 45\/2*x**3 + 0 + 27*x**q - w*x**4 + 6*x.\nAnswer: -3*x*(x - 2)*(5*x + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 127 + -201. Suppose -4*u + 719 = -5*j, j + 0*u + 151 = -u. Let w = r - j. What are the prime factors of w?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -258494501 = 2*g - 60828295. Let j = 148833103 + g. Round j to the nearest 1000000.\nAnswer: 50000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjjjjjvjjvjj. What is prob of picking 2 v?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2649 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 11:25 AM?\nAnswer: 2:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + 112121?\nAnswer: 112112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (29 - 26) + (0 - -2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5440*x = 5459*x - 209 for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2114213 a multiple of 251?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*m**5 - 234*m**4 + 1842*m**3 + 4824*m**2 - 1839*m - 4590 = 0. What is m?\nAnswer: -85, -2, -1, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -5*k**2 - k. Let j(h) = h**3 + 4*h**2 - 4*h - 2*h**2 - 4 + 0*h + 0*h. Let l be j(-3). Let c be r(l). Is -5 != c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 872 + -488. What is the highest common divisor of 24 and u?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 0, 26, -5, -1\/6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 z when two letters picked without replacement from {i: 3, o: 5, s: 1, z: 5, x: 2}.\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 15*v + 43512 = 0. Is (4 + v\/16)*(-4)\/1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 411.3 (b) 1\/3 (c) -3 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1107*j**4 - 850*j**2 + 1921587 wrt j.\nAnswer: -4428*j**3 - 1700*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 1990 = -p, -24*p = -4*w - 23*p + 2652. Let h be -2*(-1)\/(3 - 2). Suppose o = -4*o - 3*f + 1097, h*f + w = 3*o. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -1 + b + 0*b + 7. Let j(z) = -5*z + 3 + 3*z - z**2 + 0 - 2. Let s be j(-4). Let u(i) = i + 4. Give s*u(c) + 5*v(c).\nAnswer: -2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -7 - -4 - (-4 - 1). Let o = v - -13. What is the remainder when 59 is divided by o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -14, -30, -84, -194, -378, -654, -1040, -1554?\n\"Answer: -3*w**3 - w**2 + 8*w - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 - -13. Let w be 1\/(-2)*6\/(-4). Sort g, w, -0.5 in increasing order.\nAnswer: -0.5, w, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1332 and 1602.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1201*i - 2011*i = 1923*i + 5050 + 98804 for i.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 - 4*b**2 + 3*b + 5. Let x be (4\/3 - 2)\/(4\/(-654)). Let d = 105 - x. Determine z(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*y = 46*h - 18*y + 7, 3*h + 5*y = 79 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = z - 11, -9*o + 11*o + 4 = 4*z. Solve 0 = -z*t - 2*l - 4, -6 = 2*t + t + 3*l for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17689083*y - 17689083*y - 2041*y**3 - 4 + 2 - 1.\nAnswer: -2041*y**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(-19)\/15390*-18*(-6)\/19.\nAnswer: -2\/95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.5 - -0.9. Let v(g) = -g**3 - 7*g**2 + 8*g + 2. Let i(f) = 3*f - 2. Let x be i(-2). Let k be v(x). Which is the nearest to k? (a) r (b) 1 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/(k*k\/(k**5\/k))*k*k)\/k*k*((k*k\/(k**(2\/9)\/k))\/k)\/k)\/(k*k*k**(-2\/3)*k*k*k)**(-35) assuming k is positive.\nAnswer: k**(1426\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + h - 3331 = -0*u, 0 = h - 3. Let m = 33313\/20 - u. What is the common denominator of m and 103\/116?\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 482 bigger than 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 1286 divide 44433872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1831, -3730, -5629, -7528, -9427, -11326?\nAnswer: -13225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -176*o**3 + o**2 + 4*o. Let i be w(3). Let u = 7033 + i. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/(-6))\/(7\/98). Is 13 at least as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1571298672 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 + 5*z**2 + 4*z + 3. Let a = 10 + -13. What is the remainder when 34 is divided by v(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1171 at most as big as -80.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of 1\/40*k**6 + 3\/2*k**2 + 0 + 3\/2*k**3 - 17*k + 9\/40*k**5 + 13\/16*k**4. Factor v(a).\nAnswer: 3*(a + 1)**2*(a + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + 14\/(-4) - -2. Let y = -3.441 + 8.441. Which is the third biggest value? (a) 3 (b) x (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2796\/(-16776)*3\/2.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + (-1 + sqrt(252) + -2 - sqrt(252)) + sqrt(252) + 0 + -1 + sqrt(567) + 2*sqrt(567))*-1)**2 + -2 + 3.\nAnswer: -132*sqrt(7) + 7628","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + -544460?\nAnswer: -544454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 4 + sqrt(7)*1)**2 + sqrt(21)\/sqrt(27) + (sqrt(252) + sqrt(63))\/sqrt(9).\nAnswer: 46*sqrt(7)\/3 + 43","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 3*z**2 + 4*z - 4. Let l(d) = -5*d**2 - 6*d + 6. Let s(k) = -5*l(k) - 8*n(k). Let t(o) = 2*o**2 - 5*o + 5. Calculate 5*s(h) - 2*t(h).\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 13d88 (base 15) in base 13?\nAnswer: 2306c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 652 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3 + 5 + 105*f**2 - 20546*f**3 + 8579*f**3 - 2 wrt f?\nAnswer: -71802","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 128*g**2 - 6*g - 17. Let i(b) = -64*b**2 + 3*b + 9. Let h(l) = 7*i(l) + 4*y(l). Calculate the remainder when h(-2) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -336*z**2 + 63*z. Suppose 725 = 19*j - 472. Let r(v) = 21*v**2 - 4*v. Calculate j*r(m) + 4*o(m).\nAnswer: -21*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 3*f + 1044 = 1044. Let h(j) = -4*j**3 + 5*j**2 - 5*j - 5. Let i(a) = -3*a**3 + 4*a**2 - 4*a - 5. Let x(k) = 4*h(k) - 5*i(k). Calculate x(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(153)*3*-4)**2.\nAnswer: -360*sqrt(17) + 22057","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 1089 = -4*b + 1165, -4*i = 0 for b.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s - 3*s + 679 = 4*x, 2*x = 4*s + 338. Let y be ((-16)\/6)\/((-38)\/x). Solve 13*p + y = 9*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 75*v**2 - 76*v**2 + 66 - 1070*v - 7122*v**3 + 1070*v wrt v.\nAnswer: -42732","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 350 is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-6)\/(-5))\/(46\/3105). Let u(t) = -y*t + 81*t + t**2. Let n(w) = -10*w. Calculate n(u(b)).\nAnswer: -10*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*8\/(-320)*2.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 2\/7 (c) 11 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 231 is divided by 126.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, o: 1, z: 1, l: 1, u: 1, s: 1}. What is prob of picking 1 o, 1 l, and 1 s?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 x, and 1 s when three letters picked without replacement from {a: 1, p: 2, x: 1, r: 1, y: 2, s: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9 and 94131.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1821150.\nAnswer: 2, 3, 5, 19, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4712 = 19*g + 5035 for g.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j + 7. Let b be 2*2*(-18)\/24. Give q(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2664, -5239, -7620, -9711, -11416, -12639, -13284?\nAnswer: -13255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 116228, 232434, 348636, 464834, 581028?\nAnswer: 697218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.8? (a) 2 (b) -118 (c) 3 (d) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.0392 + -19.3892. Let h = -19 - g. Let f = h - 0.15. Put 0.18, -0.4, f in descending order.\nAnswer: f, 0.18, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) -17 (c) 4 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + -131320?\nAnswer: -131321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -113*r**2 - 805 - 785 + 1587 + (-33 - 30*r + 33)*(5*r - 2*r - r) to the form m*r**2 + p + o*r and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -304, -376, -446, -514, -580, -644?\n\"Answer: x**2 - 75*x - 230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-1287)\/12)\/(-13) - 8\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 3 = 3*q + a, -3*q - 3 = 2*a. Let t = 20 + q. What are the prime factors of t?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 26, -717 in descending order.\nAnswer: 26, -4, -717","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ydy when three letters picked without replacement from djjdmyssw.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70871737.\nAnswer: 29, 367, 6659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.68 times -476\nAnswer: 323.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, z: 2, e: 1, s: 3, n: 6}. What is prob of sequence ns?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -4*u. Let a be 17\/(-30) - (-2)\/3. Let x = 11\/90 + a. Which is greater: x or u?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 144105 and -11.63.\nAnswer: 144093.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -7*u**2 - 6*u + 66. Let x(o) = -6*o**2 - 5*o + 67. Let b(d) = -5*w(d) + 6*x(d). Does 18 divide b(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -4*f - 39. Let b(z) = -2*z - 18. Let j(n) = 13*b(n) - 6*x(n). Let p(d) = 73*d**2. What is j(p(i))?\nAnswer: -146*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c + 12. Let d be r(7). Let t(z) = 13*z**3 + 2*z**2 - 5*z + 1. Is t(d) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 682 = 155*r + 62 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 21 = 3*a - 4*q, 0 = -2*a - 3*q + 14. Solve a*c - n = 3*c - 8, -3*n = c - 11 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-90)\/(-189)*228\/190.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.26 times -18.93?\nAnswer: 23.8518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -93*j**4*u + j**2*u**3 - 2*j**2*u + 7*j*u**3 - 40*j*u**2 wrt j?\nAnswer: -1116*j**2*u + 2*u**3 - 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -w**3\/7 + 128*w**2\/7 - 127*w\/7 = 0.\nAnswer: 0, 1, 127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 497958 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -31044133031 + -2?\nAnswer: -31044133033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = -4*i + 3*w, 11*w + 16 = -2*i + 13*w for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 AM and 6:18 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l**4 + 11412*l**3 - 1974002*l**2 - 1985412*l = 0. What is l?\nAnswer: -5874, -1, 0, 169","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 3*q. Let s(u) = 289 - 289 - 70*u. Determine s(y(v)).\nAnswer: -210*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 140\/(-42)*(-1896)\/395?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 49327740 and 2740430?\nAnswer: 49327740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4, -1, 2\/323, 38, 0.04, -3, 0?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1671 by -102.\nAnswer: -557\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5.3 + -0.3. Let b = 13 - 32. Let g = b - -18. What is the closest to g in -0.1, 3, o?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 266 is divided by 96.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-37)*((-1620)\/40 - -42)\nAnswer: -3\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 572 = -5*j, -3*j + 3*l - 348 = 4*l. Is -115 less than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -8, 187 in descending order.\nAnswer: 187, 0, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.71407 * -0.8.\nAnswer: -2.971256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {w: 2, a: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2373\/(-2712) - (0 - (1 + 0)). Let q = -0.04 + -1.96. What is the fourth smallest value in 0.2, x, 6, q?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/2008 and 9\/14.\nAnswer: 14056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2 + 11*l + 25. Let y be r(-10). Let z = 16 - y. Is 7 a factor of 1*-2*(z + (-5 - 20))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -27.2 + 24. Let j = -3 - u. Which is smaller: -2 or j?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3822424 is divided by 1443.\nAnswer: 1360","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8118 - 7926. Which is bigger: 177 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q + 1. Let o(h) = h**2 - 7*h + 5. Let j be o(6). Let a be u(j). Let y(i) = 2*i**2 - i + 1. Let g be y(1). Is g at most a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.1 in 0.3, -4, -6?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -218*y**5 + 96*y**2?\nAnswer: -13080*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -13*p - 9*p + 4*p. Let b(k) = -27*k - 2075. Let f(u) = u + 83. Let s(y) = -2*b(y) - 50*f(y). Give s(w(l)).\nAnswer: -72*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 260*m + 264 - 525 + 261 to the form s*m + h and give s.\nAnswer: 260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10.7 + -10.74. Which is the biggest value? (a) 8 (b) 5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 200 and 510600.\nAnswer: 510600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -8*o - 84. Let p be j(-12). Let f(s) = -26*s - 15*s + p*s - 24*s - 23*s. Let r(u) = -u. What is r(f(d))?\nAnswer: 76*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, r: 3, v: 9, j: 2, e: 3}. What is prob of sequence vev?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p - 4*p = -5*n + 415, 86 = n + 2*p. List the prime factors of n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**4 + 2*v**4 + 0*v**4 + (-4*v**2 + 5*v**2 + v**2)*(-v**2 - v**2 + 3*v**2) - 2*v**4 + 2*v**4 - 2*v**4 - 21*v**4 + v**3 - v**3 + v**3.\nAnswer: -20*v**4 + v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 8 = 5*y, 5*l + 7 = -2*y + 8. Let f(x) = 9*x**2 + 2*x + 2. What is f(y)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 13.07 and 335.\nAnswer: 348.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102 + 22200?\nAnswer: 100002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 52428354?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 14*x - 21. Let i be v(4). What is the greatest common divisor of i and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 PM and 7:42 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 - 23*x**2 + 24*x - 8. Let a be o(-24). Let d be (-95)\/(-19) + a\/(-2). Solve -3*u = -d*u + 18 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 447005, 447004, 447003, 447002?\nAnswer: 447001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/5 of a litre in millilitres?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -19) + (45 - 87) + 49?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 156263167?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 - -8. Let z be -5 + 7 + s + -2. Let p be (-15)\/(-60) + (-7)\/z. Solve 0 = 2*n + p*n - 3*k + 28, 0 = -n + k - 8 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 35 = 3*w + 2*w, -2*w - a + 25 = 0. Find the common denominator of (139\/5)\/((-42)\/35) and 1\/w*(-1245)\/(-18).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1625788 to the nearest 10000.\nAnswer: 1630000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -11020022121 (base 3) in base 14?\nAnswer: -2252a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*x - f, -2*f = -0*f. Solve g + 0 = u + 3, -x*u = -5*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 3*x - 18, g = -4*g + 2*x + 27. Solve 0 = -g*r + 5, 0*m = -m + r + 1 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -5*m**3 - m. Let o be q(1). Let z = 10 + o. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78) - (sqrt(78) + sqrt(78)*-2)*-5)*3*-5)\/(-2*sqrt(294)*4 - -2*1*sqrt(294)).\nAnswer: -10*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Convert 653.9097t to kilograms.\nAnswer: 653909.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-5\/6)*n)\/n)\/n**(-1\/7))**(-7\/8) assuming n is positive.\nAnswer: n**(29\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 AM and 1:12 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 92*t - 82. Let m(a) = 62*a - 59. Let j(y) = 7*m(y) - 5*n(y). Let p(o) = -16*o**2. What is j(p(q))?\nAnswer: 416*q**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 - 9*r**2 - 8*r - 9. Let h be j(-8). Let u = -2 - h. Suppose -a + 0*a = -u. Calculate the remainder when a is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2180)\/14 + (-10)\/35. Let v = c + 184. What is the highest common factor of v and 238?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00011635412 rounded to 4 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -85430354 divided by -6.\nAnswer: 42715177\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 25*q**4 + 35*q**2 + 3*q - 3. Let j(l) = 76*l**4 + 105*l**2 + 8*l - 8. Let g(d) = -3*j(d) + 8*s(d). Find the third derivative of g(n) wrt n.\nAnswer: -672*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23b (base 15) to base 5.\nAnswer: 4011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s + 16. Let y be m(-7). Find the first derivative of 5 + t**2 + 4*t**y + 4 + 6*t**2 wrt t.\nAnswer: 22*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.2857 + -0.1143. Which is the closest to -3? (a) -0.5 (b) -4 (c) 1 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9565517 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -460 (base 7) to base 6.\nAnswer: -1034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 57*o**3 + o**2 + 2*o + 1. Suppose -5*z - 5 = -0. Let n be b(z). Let a be (n\/(-27) + -2)\/(-1). Are a and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 2*j**2 + 2 + (3*j - 3*j - j)*(4*j - j - 2*j) - 2*j + 4*j**2 + 2*j + (-2*j + j - 2*j)*(5 - 2*j - 5) as k + l*j**2 + f*j and give l.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gxggxgxggx. Give prob of sequence gg.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -1 + sqrt(7) + 0.\nAnswer: sqrt(7) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-24)\/(-66)*(-159)\/516. Let b = -3\/43 + r. Which is smaller: b or 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2885*f + 2*f**2 - 2885*f. Let u(c) = -14*c. Give u(n(k)).\nAnswer: -28*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.7 - 28.3. Let z = -32.28 - k. What is z rounded to 1 decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59984001*h - 59984108*h + 7383 = 0 for h.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2080029 is divided by 519961?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 630220685?\nAnswer: 5, 17, 43, 172427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -173\/355992 and 95\/4564.\nAnswer: 355992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.066000849 to 2 decimal places.\nAnswer: 2.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 124063 (base 8) to base 14\nAnswer: 11999","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from upblaupi. What is prob of sequence pb?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h and 1 l when four letters picked without replacement from {s: 1, h: 2, l: 6, n: 9, k: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 72 + -70. Is 6349 + b\/(-2) + 5 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21690367755.9600012 + -21690392148. Let j = -24391.9 - z. Let m = j - 0.14. What is m rounded to 7 decimal places?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*p - 918*p**2 - 224 + 5*p - 439*p**2 - 751*p**4 + 223 wrt p?\nAnswer: -18024*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, 31 in decreasing order.\nAnswer: 31, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/1565, 1\/9, 0.07 in decreasing order.\nAnswer: 1\/9, 0.07, -6\/1565","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - s. Suppose s*k - k = -8. Let u be 3\/(-20) - 2\/k. Which is greater: u or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 12286*z**5 - 9039*z. Let c(d) = -4096*d**5 + 3012*d. Let i(y) = -8*c(y) - 3*f(y). What is the second derivative of i(a) wrt a?\nAnswer: -81800*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -319*m = -187 + 3377 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*l + 0*u + 2*u + 9 = l - 0*u + 10, -5*u + 8 = 3*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 249*n**2 + 1 - 322*n**2 - 652*n**2 - 460*n**2 + 140*n**2 as i + s*n**2 + x*n and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -3*h**2 + 30*h - 5. Let m be t(9). Suppose -4*o = 12, 4*o + m = -0*z + 5*z. Solve -z*l + 2*s + 0*s - 18 = 0, -5*s = -l - 29 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of -l**6\/120 - l**5\/12 - l**4\/6 + l**3\/2 + l**2. Let g be j(-4). Let c = 8 - g. What are the prime factors of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -24 in -0.1, 5, 0.3, -1\/12?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 4 + (-2 - -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 422*f**2 + 24*f - 56. Does 14 divide v(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/3)\/u)**(5\/9)\/(u*u*u\/u**(-1\/4))**(-34)*(u**2)**(-5)*(u**(1\/2)*u)**(-1\/25) assuming u is positive.\nAnswer: u**(67547\/675)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of -h**5\/15 - h**4 - 6*h**3 - 10*h**2. Factor s(r).\nAnswer: -4*(r + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 81\/21 - (-1 + 5). Let r = -71 + 70. Which is the fourth smallest value? (a) w (b) -0.4 (c) r (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 45\/2 of a meter?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 - 30*q**2 + 218*q - 36. Let r be t(18). Solve r = -5*o - 36 + 11 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 111 = c, 5*c = u - 1 - 26. Let b = -27929 - -27951. Is b <= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) -1\/5 (c) 41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 154 - 154. Let k(i) be the third derivative of z*i + 0 - 1\/12*i**4 + 1\/6*i**3 - 21*i**2. Let n(d) = 2*d. What is -2*k(w) - 3*n(w)?\nAnswer: -2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/4021230 and 76\/2799.\nAnswer: 12063690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add 5 and 1942.\nAnswer: 1947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.01, -1, 0.4, 10?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 6, 0.2, -4, 2\/71, 3290?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1\/3 (b) -2 (c) 26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*z**3 + 79412*z - 79412*z.\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 3*d - 1 = -4, 5*o + 1 = -d. Suppose g + 5*h - 64 = 0, o*h + 224 = 3*g - h. Let z = g + -50. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1dcb6a (base 14) to base 3\nAnswer: -2000111001220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (48\/15)\/((-1)\/(-25)). Let q be m\/6 - 4\/12. Let z(n) = n**2 - 10*n + 4. What are the prime factors of z(q)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 21\/2 of a microsecond?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -277\/755 - 5\/151. Which is the biggest value? (a) -34\/3 (b) -5 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73 + 109 + 35*r - 182.\nAnswer: 35*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, m: 10, a: 6, k: 1, e: 1}. Give prob of picking 1 k and 2 m.\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/11? (a) 0.5 (b) 6 (c) -4 (d) -94 (e) -0.104\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (-3)\/(-15)*8)\/((-84)\/105)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2\/7 (b) 1\/7 (c) 4 (d) -20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*s + 8. Let p(w) = -4*w**2 - 12*w + 4*w - 7 + s*w**2. Let m be p(-5). Solve -2*i + m = -6*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -153 + -16202156?\nAnswer: -16202342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 - 5*u + 4. Let g be c(6). Let a(h) = -h**2 + 0 + g*h - 2 + 11 + 3*h. What is the remainder when a(13) is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -94.051 + 94. Let r = b + 0.551. What is the third biggest value in 0.4, 0.08, r?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-641*v - 1 + 727*v + 0)*(-2*v**2 - 3*v**2 + 4*v**2) in the form t*v**2 + w*v**3 + r + k*v and give w.\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 - 43 - -20 - 10?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -183*m + 178*m - 290 = 0. Sort m, 0.3, 2\/5 in increasing order.\nAnswer: m, 0.3, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -3*c**2 + 5*c - 6. Let a be g(5). Suppose -7 = m - 3. Is (2\/m)\/(2\/a) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -3*r + r. Let m = -7 + r. Suppose 0 = m*v - 0*v - 128. Does 8 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104431334 (base 5) in base 7?\nAnswer: 3655420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23 - 20. Let k be (-172)\/w - (1 + -1 + 1). Suppose -r = -k*p, -2*r - 4*p = 2*r. Put 2, -2, r, -20 in decreasing order.\nAnswer: 2, r, -2, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t - 12 + 21 - 13 - 9 + 13.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 AM and 2:23 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/16 and -91\/3152.\nAnswer: 3152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the third derivative of -f**7\/2520 - f**6\/720 + f**5\/24 + f**4\/12 + 5*f**2. Let h(v) be the second derivative of x(v). Give h(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4\/5, -1.4, 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 948 is divided by 82?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*v + 85*v = 123*v + 1920825. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 283459007 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 3*v - 37. Suppose 3*b = 7*b. Suppose -o + b*o = -55. Calculate the greatest common divisor of v and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.2 + 0.3. Let p = -13 + 14.1. Let y = p - j. What is the second smallest value in 0, 4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 88251 and 20969205?\nAnswer: 3837","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -2 + 3 - 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*s - 1. Suppose -3*u + 8 = -s. Let l be 18\/(-117) + 2*(-2)\/(-26). Solve t - u = -l for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - (11 - (15 + 0) - -6).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -38*c*v**2 - 7142*c*v - 3*v**2 - 1675*v - 11 wrt c.\nAnswer: -38*v**2 - 7142*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 975549 rounded to the nearest 1000?\nAnswer: 976000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/100 and 18*1 - (-253008)\/(-14175).\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -7, 12, 21, 6 in decreasing order.\nAnswer: 21, 12, 6, 0, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 2*m**2 + 102. Let u(a) = -a. Calculate u(y(n)).\nAnswer: -2*n**2 - 102","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2*v**2 + v + 4. Let u be n(-4). Suppose 0 = -4*d - 2*i + 10, -29*d - 15 = -30*d + 2*i. Solve d*l = -12 + u for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-3\/10)*i*i\/(i**(-11)\/i)*i assuming i is positive.\nAnswer: i**(147\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 297570 and 46.\nAnswer: 6844110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 5*r = 9, 2*w + 0 = 2*r + 4. Let a(o) = 9*o**2 + o + 1. What is the tens digit of a(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1590, -5, 72, 0, -4, 1\/4 in ascending order.\nAnswer: -1590, -5, -4, 0, 1\/4, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 277 = -5*i - 254, v = 2*i - 7 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34720440?\nAnswer: 2, 3, 5, 41, 7057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 3)*(-6 + 1409*x - 1409*x - 2*x**2) + 2*x**2 + 1 - 1.\nAnswer: 6*x**2 + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 PM and 9:12 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21774 and 764?\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 550 is divided by 138?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 - 115\/(-35)) + 48\/28. Let g = -3 - -9. Solve -3*q**s - 9*q**3 + 0*q**5 - 3*q**5 - g*q**4 - 3*q**4 + 0*q**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 405526.8\nAnswer: -1622107.2","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.25 - 5.15. Let n = 0.35 - -0.05. Let i = z + n. Which is the biggest value? (a) i (b) 3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 - 83*i**2 + 599*i - 22347. Give b(79).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 554368, 63 in descending order.\nAnswer: 554368, 63, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -989*h**2 - 984*h**2 + 1968*h**2.\nAnswer: -5*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-7931)\/506 + (-16)\/(-92))\/(1\/2)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 429593 is divided by 283.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, -0.2, -2, 3 in decreasing order.\nAnswer: 5, 3, 1, -0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, 648 in ascending order.\nAnswer: -5, 4, 648","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -66422, -66420, -66418?\n\"Answer: 2*n - 66424","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 167*t**3 + 10*t + 10. Give l(-1).\nAnswer: -167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2949784 to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of i**3*w**2*y - 8*i**3*w*y**2 - 3*i**3*y**2 + i**2*w*y**2 + 2*w**2*y**2 - 5*w**2*y wrt w?\nAnswer: 2*i**3*y + 4*y**2 - 10*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**3 + 2*p**3 - 2*p**3)*(11 + 1 - 29)*(-3 - 9 + 19)*(6 - 2 - 2)*(-1 - p + 1).\nAnswer: -476*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 386, 382, 378, 374?\nAnswer: 370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 76 and 51908?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + 1622?\nAnswer: 1626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*a + 181 - 26 = 4*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 28 = 3*a, -78 + 8 = -3*j - 5*a. Suppose 0*d - 2*d = -4*l + 908, 2*d = -8. Calculate the greatest common divisor of l and j.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121949.\nAnswer: 121949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 346?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 + -9 - (-693 + 11) and 10.\nAnswer: 6890","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 259251?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= 2135\/241757?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 74050?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127 = 5*q + 245*w - 238*w, -5*w + 155 = 5*q. Suppose -4*o - 60 = 2*z - 7*z, z - 21 = -o. Solve -z*r = -7*r - q for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 10 = -4*l, 3*l + 3 = 6*l for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 a factor of 43244 - ((-3)\/(-2) - 377\/58)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 74694 and -3785?\nAnswer: -282716790","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 750*m**3 + 310*m**2 - 312*m. Let z be y(1). What is the greatest common divisor of z and 612?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18.4 - 20.4. Which is smaller: -31 or q?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6b24 (base 15) to base 9\nAnswer: -34187","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -2*a**2. Let c(b) = b + 13. Let i be c(-9). Suppose 3*o + 25 = 2*j, 6*j - 3*j + i*o = 12. Let q(u) = 3*u**2 - j*u + 6*u + 2*u. What is x(q(h))?\nAnswer: -18*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -4*t + 2*i, -3*t - 3*i + 10 = -29. Let l(r) = 2*r**2 - 8*r - 9. What are the prime factors of l(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4741a + -1822?\nAnswer: -49141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 638014.\nAnswer: 2, 13, 53, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/14*(-307360)\/27120?\nAnswer: -68\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 580 + -580. Solve -5*d = -c*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25304431 (base 6) to base 2.\nAnswer: 11000111100101100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2.1 and 0.1566?\nAnswer: 1.9434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 637438 a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 9419*l + 58 - 58 + 4949*l in the form r*l + d and give r.\nAnswer: 14368","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 42181247 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18 - 22. Let g be (-3)\/(-42)*d*-7. Solve 2*n + 20 = -4*i, g*n - 5*i - 7 = -0*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16 (base 10) to base 2.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = -r. Suppose r = -y + 3*y. Round y to 3 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**11*g**(-1\/5)*(g**(-20)\/g)\/g**(-1\/4))**(-11) assuming g is positive.\nAnswer: g**(2189\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**2\/4 + 5637*t + 56445.\nAnswer: -3*(t - 7526)*(t + 10)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -5 * 3.8\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of -2*m**2 + m - 39. Calculate i(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnwb when four letters picked without replacement from zwvbnnsw.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3119, -3113, -3095, -3059, -2999, -2909, -2783, -2615?\nAnswer: -2399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 133879.\nAnswer: 83, 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 238 = 5*l, n = -l + 38 + 28. Solve 5*w = -n + 61 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.54 - 1.54. What is the nearest to m in 0, -1\/10, -5?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 205811 is divided by 1804?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.0656, 685, 2.\nAnswer: 0.0656, 2, 685","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y + 411. Let n(c) = 55*c. Determine n(z(b)).\nAnswer: -55*b + 22605","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 155\/3 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -42 + 2b3?\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -14.7, 1\/2, 0.3, -10?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 26 - 29. Let t be (g\/(-2))\/(15\/10). List the prime factors of (-3)\/(t - 3 - (-360)\/184).\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -4*o**2 - 3280*o - 669900 = 0?\nAnswer: -435, -385","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 - r**2 - r - 1. Let y be v(0). Let z(u) = u - 51 + 51. Let f be z(y). Do -1 and f have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 6) to base 7\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - -918.\nAnswer: 913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -4. Suppose 39*c - 118 = -40. Let k(h) = h + 12. Give c*k(y) + 7*g(y).\nAnswer: 2*y - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -1241*c**2. Let h(s) = 5*s**2. Give h(m(d)).\nAnswer: 7700405*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/((k\/k**(-7)*k*k*k)\/k)*k*k\/(k\/(k**(-13)\/k*k))*k)**40 assuming k is positive.\nAnswer: k**(-760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/40969428 and -52\/112665927.\nAnswer: 450663708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + 1. Suppose d - 5*d - q + 16 = 0, j*d + 5*q = 0. Suppose -42 - 18 = -d*g. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 59 and 1711?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -949*a*n - 5650*a wrt n.\nAnswer: -949*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5902 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 64285.7 rounded to the nearest 1000?\nAnswer: 64000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*a + 9*a + 7*a - 13 + 13 - 6*a + 0*a + 3*a - 2*a + (-a + 2 - 2)*(2 - 1 - 3).\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is nine quarters of a litre in millilitres?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2076373.\nAnswer: 13, 159721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -643, -1273, -1905, -2539, -3175, -3813, -4453?\n\"Answer: -k**2 - 627*k - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + 0. Let x = 1 - o. Suppose -6*w = -5*i - 3, 27 = 5*i + w + 44. Which is the closest to i? (a) x (b) 0.1 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000020574 to 7 decimal places.\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14477?\nAnswer: 31, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 16477*r - 164763. What is n(10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**2 + 14*l + 4. Let t(f) = 3*f + 1. Let n(w) = 2*r(w) - 9*t(w). What is n(-2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {t: 2, m: 3, l: 3, b: 2, k: 5}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -2*p**3\/17 + 68*p**2 + 1158*p\/17 = 0.\nAnswer: -1, 0, 579","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence id when two letters picked without replacement from {f: 5, c: 9, i: 1, d: 1}.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, t: 3, p: 11}. Give prob of picking 2 s and 1 t.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/2)*a\/a**1)\/(a*a**(-2)*a)**(2\/17) assuming a is positive.\nAnswer: 1\/sqrt(a)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t - 3*t + 2*t**2)*(22 - 22 - 6*t).\nAnswer: -12*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.2 + 0.3. Let m = -0.8 - -1. Let z = m - q. Is z <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 35265964?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*(-1 - (-4 + 3)). Let i be (t + -4)*(0 + -2). Suppose 2*n - i = -0*n. Solve -p - 25 = n*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 3610*g**2 - 8*g - 8. Let u be o(-6). What is u rounded to the nearest ten thousand?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/4518 and 151\/4518?\nAnswer: 4518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93 is divided by 53.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(55) + (2*sqrt(55) - sqrt(55))))\/(sqrt(11) + sqrt(99)*-2).\nAnswer: -2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7405719 is divided by 7197.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 3*j**3 - 2*j**2 + j. Let d be i(1). Suppose -d*h - 12 = 2*t, 4*t = 2*t - 5*h - 21. Let z = t + 6. Solve k = -n - 9, 0 = -2*k - z*n - 7 - 15 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33626?\nAnswer: 2, 17, 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2173822608 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-12)\/(-8))\/((-2)\/(-4)). Suppose b = 2*p - 7. Suppose 0*h = p*z + 2*h + 6, -12 = z + 4*h. Let j(q) = -q - 2. Give j(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -174 = -7*a + a. Let c = a - 18. Suppose c*w - 9*w = 10. What is the greatest common factor of w and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 67 + -59. Suppose d = v + 4. Let m(i) = i**3 - 2*i**2 - 4*i. What is the tens digit of m(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 112 + -124.91. Let k = c - 0.09. Let w = k + 12. Which is bigger: 2 or w?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2311 + 9147\/4. Calculate the common denominator of l and 69\/14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3bc + 5?\nAnswer: 3c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + 22 + 2 + -1. Suppose 4 - 24 = -5*i. Let t be (-8)\/6*(-6)\/i. What is the greatest common divisor of t and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 990.9703 - 991. Let q = -1.6203 + c. Round q to 1 decimal place.\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2759110268 a multiple of 284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 5, d: 2, w: 2, x: 2, h: 9}. What is prob of sequence zd?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 14 + 16 = 2*z, 0 = 4*o - 5*z + 41. Let l = -3 + o. Let r(g) = 4*g**2 - 5. Is r(l) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3*3\/(-3)*-1. Suppose 16 = n*p - 5*j + 3, p = 2*j + 4. Calculate the common denominator of -87\/10 and 53\/(-6)*p\/(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 + -6. Suppose -1 = -v*d + 1. Suppose -5*z = -4*k - 4 - 2, z - 3*k + d = 0. Solve 0 = 3*y - 10 - z for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*o - 20 = -4*t - 67*o, 12 = 3*t - 3*o for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-56)\/(-84) - 352\/600?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 220 and 30?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -161731 equal to -162400?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 2 + (-1 - (1 + -4))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -14223 + 2?\nAnswer: -14221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 97*u**2 + u + 2. Suppose -2*d = 2*v + 2, -d - 3*v - 2*v - 1 = 0. What are the prime factors of i(d)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13.2 - 13.2. Sort o, -2, 1.1.\nAnswer: -2, o, 1.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32186590 divided by -5\nAnswer: 6437318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 20*x + 1327. Let r be h(0). Find the first derivative of -661 + r - 656 + 183*z - 36*z wrt z.\nAnswer: 147","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3348?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 364823*d - 1 - 338754*d.\nAnswer: -703577*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of 1\/210*a**7 + 8*a + 0 - 21\/8*a**4 + 0*a**6 - 1\/42*a**8 + 2*a**2 + 0*a**5 + 0*a**3. Find the second derivative of s(l) wrt l.\nAnswer: -160*l**3 + 12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32573.\nAnswer: 32573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 - (1 - (-8)\/(-4)) and 11.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.23 + 0.17. What is the nearest to 0.1 in 3\/5, 1, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7*9\/84 - (-5)\/10?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -105*j - 388. What are the prime factors of l(-16)?\nAnswer: 2, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -371a39 (base 12) to base 4\nAnswer: -3122132031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**2*v)\/(v*v**(-8))*(v**(2\/11)*v)\/(v*v**(-1\/11)*v) assuming v is positive.\nAnswer: v**(102\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5085 - 9452 + 4351 - 2*q.\nAnswer: -2*q - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 111252 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4774109642?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*f - 32518 = 65116 + 121054. Is 32 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 + 8 - 7*b as g + u*b and give u.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 42*k - 35*k. Is 7 at most as big as k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/6)\/(-7 + (-180)\/(-25)). Which is the closest to -4\/7? (a) 3\/8 (b) m (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -10, 2*u = -2*u - n + 30. Let s(y) = 14*y + 7. Suppose 3*a - 25 = -2*a. Let d be s(a). Calculate the greatest common factor of u and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77 - 228 - i - i.\nAnswer: -2*i - 305","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 556247\nAnswer: -1\/556247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iuiljglqq. What is prob of sequence gu?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 64005 and 57167760.\nAnswer: 3765","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 2797?\nAnswer: 1398.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 184*v = 64*v + 91*v + 11919. What are the prime factors of v?\nAnswer: 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 - 8*l**2 + 10*l + 11. Suppose 0 = -2*p + 4*u - 38, -2 - 49 = 4*p - 3*u. Let k be y(p). Let g = k - -9. Is g a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89*m - 24 = 86*m. Suppose m*v + 118 + 786 = 0. Which is bigger: -114 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 + (-4 - -5) + 7\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 12066452, 12066454, 12066456, 12066458, 12066460, 12066462?\n\"Answer: 2*z + 12066450","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 6:59 AM?\nAnswer: 9:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 - m**2 + m. Let o(i) = -2*i**3 - i. Suppose -4*g + 3*g = 2. Let v(l) = g*h(l) - 2*o(l). Factor v(q).\nAnswer: 2*q**2*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -2*y**2 - y + 1. Let r(n) = -n**3 - 12*n**2 - 6*n - 65. Determine -6*q(x) + r(x).\nAnswer: -x**3 - 71","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 67329?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 266?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -8460833, -8460832, -8460831?\n\"Answer: y - 8460834","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -2*q - 11, 2*q + 3*p + p + 4 = 0. Is (-20)\/(2*2\/q) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -70566 less than 0.19?\nAnswer: 70566.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 320246573 a multiple of 541?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 224 + 0\/((-16)\/4). Calculate the highest common factor of 28 and x.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (5 - (7 + 1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 288279 = -17*j + 288653 for j.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4, 1, 4, 5, 4?\n\"Answer: -h**2 + 8*h - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q - 6*q = 4*l + 720, -4*q + 960 = -2*l. What is the highest common factor of 300 and q?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69828 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6711444*j**2 - 173638*j?\nAnswer: -13422888","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of o**4\/4 - 11*o**3\/3 - 11*o**2\/2 - 8*o + 8. Let p = 6 + -3. What is the least common multiple of p and m(12)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1375 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -4*-0.071\nAnswer: 0.284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(57)\/(sqrt(9)\/sqrt(3)) + 1*sqrt(304))*2)**2 + -4*((sqrt(171) - (sqrt(171) + -2)) + 5)**2 + -5.\nAnswer: 1699","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2581929?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -4 (b) -3 (c) -2\/13 (d) -6\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 171428, 342858, 514286, 685712, 857136?\n\"Answer: -v**2 + 171433*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 5*z = v - 67, -4*v = -4*z - 148. Let q be (1 - 1)*2\/(-4). Let g = q - v. What is g rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/8 and -59\/208822.\nAnswer: 835288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 142\/(-568)*(-4)\/33*-2?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 322146?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 14*g**3 - 11*g**2 + 11*g - 11. Let a(b) = -3*b**3 + 2*b**2 - 2*b + 2. Calculate -33*a(k) - 6*x(k).\nAnswer: 15*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 104731 a multiple of 94?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 2*g = -4, 3*w - 3*g - 27 + 12 = 0. Suppose 2*m = -w*m + 4. Let q = 169 - 160. Calculate the lowest common multiple of q and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26934224 to the power of 1\/5, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2 + 10*v - 4. Is j(6) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.5 - 3.475. Let p = 0.0217 - o. What is p rounded to 3 decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18397 + -18384. Solve -m*s = 24 + 15 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -6 + (0 - (-5 + -1))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14 and 109058.\nAnswer: 763406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*y + 2*y + 7 - 7*y - 5*y + 40*y.\nAnswer: 23*y + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 47567 - 7*d**2 - 47570 - 9*d**2 to the form h + m*d**2 + k*d and give m.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of 4*v**7\/35 - v**6\/30 + 1583*v**4\/24 - 164*v**2. What is the second derivative of a(m) wrt m?\nAnswer: 288*m**2 - 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 1 - 343*n + 1700*n.\nAnswer: 1357*n - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -8 (b) -2\/17 (c) -0.068 (d) -116 (e) -20\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 114*a**3 - 95754 + 95754.\nAnswer: 114*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1011012020 - 12?\nAnswer: -1011012102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of -w**6\/720 - 101*w**4\/12 - 4*w - 8. Let g(j) be the third derivative of t(j). Let i(k) = 112*k**2. Calculate g(i(p)).\nAnswer: -112*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 - 10*h**2 + 8*h + 8. Suppose 3*x + 12 = 0, -k - 2*x + 14 = 3*x. Let d = -9 + k. Let j = 34 - d. Calculate q(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 62030000 to the nearest 1000000.\nAnswer: 62000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 2*d**2 - 26*d + 24. Let x be c(12). Suppose 4*j - 3*k - 3032 = 0, 4*j + x*k - 3032 = 4*k. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30\/(-5) + -7 + 57?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 divided by 10?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of 0 - s**2 - 1\/330*s**5 + 0*s - 1\/44*s**4 - 2\/33*s**3. Find b, given that m(b) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 369 and 1271.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25667*g - 12768*g - 9 - 12791*g - 4)*(-6*g + 5*g + 2*g).\nAnswer: 108*g**2 - 13*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -54, 4, 85 in descending order.\nAnswer: 85, 4, -6, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -5\/1479?\nAnswer: -5\/1479","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 121*w = -64*w - 55*w - 23, 0 = -4*w + 16 for n.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do 2\/101 and -0.3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(175) + sqrt(7) - (sqrt(7) + (-2*sqrt(448))**2).\nAnswer: -1792 + 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 214\/79 - 10593\/790. Find the common denominator of 3\/(-12) + 98\/4 and p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 + 3*d - 1. Let v be (-3)\/3 - (-1 + 3). Let i = -7 - v. Calculate the remainder when 4 is divided by j(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/(-18)*60\/(-80))\/(5\/(-6))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 3 - 3 + s**2. Let c(d) = -10*d**2 + 7*d + 7. Let x(a) = -3*a**2 + 2*a + 2. Let r(i) = 4*c(i) - 14*x(i). Calculate r(u(k)).\nAnswer: 2*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 46 + 11 = 18*j - 2, -u + j = -0*u + 4 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6375667, -12751329, -19126989, -25502647, -31878303, -38253957, -44629609?\nAnswer: -51005259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3451 - -1204?\nAnswer: -2244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 79238?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*10*2\/(-4). Suppose p*n - 67 = -12. Suppose -2*h + 0*h = -8. Calculate the remainder when n is divided by h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 87 - 3. What is the remainder when 55 is divided by q?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, 4, -9 in ascending order.\nAnswer: -9, -4, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -3\/2, 2, 0, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 502505*n**3*r**2 + 8*n**3*r - 72*n**2*r - n*r**2 - 2*n + r + 413 wrt r?\nAnswer: 1005010*n**3 - 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of -r**4\/14 - 4*r**3\/21 + r**2\/7 + 4*r\/7 - 51. Find v, given that c(v) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 14*u = -19*u - 180, 0 = t - 3*u - 90. What is the highest common divisor of t and 414?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 63\/68 and 7\/1892.\nAnswer: 32164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 207270 and 14490?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/5*(-11 - 0)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 94911 (base 10) to base 11\nAnswer: 65343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-52)\/3*24\/(-16). Suppose 0 = 2*v + 28*j - k*j + 2, -2*v - 5*j = 8. Let q = 6 + 7. Calculate the smallest common multiple of v and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c**5 - 36*c**4 + 84*c**3 - 76*c**2 + 24*c = 0.\nAnswer: 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -221.33 + 225.33. Which is the closest to 2\/7? (a) 2\/3 (b) 2 (c) x (d) 4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -318 + 318. Solve z = -6*k + 3*k + 12 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 44\/69 + 2\/69. Let m = 6 + -11. What is the smallest value in 2\/17, m, q?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**5\/7 - 356*p**4\/7 - 696*p**3\/7.\nAnswer: -4*p**3*(p + 2)*(p + 87)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-2 + (sqrt(539)*-1 - sqrt(539)))**2 - (sqrt(539) + 2*(sqrt(539) + (sqrt(539) - (1 + sqrt(539)))) + sqrt(539))*4.\nAnswer: -56*sqrt(11) + 2168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 10\/9, -1509, 4 in descending order.\nAnswer: 4, 10\/9, -1509","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -46*t**2 + 830*t - 29390. Let w(z) = -14*z**2 + 277*z - 9797. Let q(o) = -6*n(o) + 20*w(o). Factor q(x).\nAnswer: -4*(x - 70)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 9233410.\nAnswer: 9233410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 923 - 923 - 2376*q + (4 - 1 - 2)*(-3*q + 0*q + 5*q).\nAnswer: -2374*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5773 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -92*c - 1. Let z(x) = -82*x**2 - 90*x**2 - 80*x**2 + 251*x**2. Give j(z(o)).\nAnswer: 92*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 29*v = v. Which is bigger: -53\/63 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 w when two letters picked without replacement from iebeifweiiidefe?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (25 - -1) + -406 + 384. Solve 2*u + p = 22 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*t = -3 - 207. Let y(d) = d**3 + 20*d**2 + 42*d + 22. List the prime factors of y(t).\nAnswer: 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20881?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -639*u - 636*u - 634*u + 1909*u - 17*u**2.\nAnswer: -17*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23590499?\nAnswer: 67, 352097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7266 is divided by 291?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1600*r**2 + 1841*r**2 + 66*r**6 + 35*r**6 wrt r.\nAnswer: 12120*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*q**2 - 25*q + q + 13*q**3 + 28*q**2.\nAnswer: 13*q**3 - 24*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -5*y - 10, 0 = 5*y - f - 13 - 1. Let h(k) be the third derivative of -k**4\/4 + 7*k**3\/3 + k**2. Let v be h(y). Solve v*i = -i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 - 3*p. Let z be u(4). Let d be z\/22 - (-62)\/22. What is the second derivative of 30*h + 0*h**d - 12*h - 10*h**3 wrt h?\nAnswer: -60*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 x when three letters picked without replacement from {b: 4, x: 4, c: 1, l: 2}?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-100)\/(-15)*(0 + 3). Let x(w) = w - 6. Let d be x(11). Solve 3*p + 5*i = -20, i = -d*p + 6*i + l for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - l = -22, 3*g - 14*l + 19 = -12*l for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1601 (b) 2\/5 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 241506209?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of -m**2\/2 + m - 4173. Let q(l) = 7*l + 14. Determine -6*n(d) - q(d).\nAnswer: -d - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.155 + 0.145. Sort -27, -2\/5, j in increasing order.\nAnswer: -27, -2\/5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6824109 is divided by 68241?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5)\/(62\/124*(-11 - -1)). Which is smaller: o or -2\/1953?\nAnswer: -2\/1953","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1130?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1103?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l + 2. Let y be k(2). Let a(n) = n**2 + 4*n**2 + 4 + y + 17*n - 24*n + 9*n**3. Let x(w) = -5*w**3 - 3*w**2 + 4*w - 2. Give -3*a(f) - 5*x(f).\nAnswer: -2*f**3 + f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) -13 (c) -78.59\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 4*o - 20 = 0, 0*f - 8 = -2*f + o. Let r = f + -2. Solve 0 = k - 2*y - r*y + 3, 4 = 4*y for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 112 - 122 - (4 - 17) - (2 + (2 - 0)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*j**5 + 16106*j**3 + 880363*j.\nAnswer: 80*j**3 + 96636*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2604 and 7347?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (10\/(-4))\/((-2)\/(-48)). What is the common denominator of 2\/(-3) + 38\/h and -116*((-30)\/(-195) + (-82)\/364)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1112535)\/(-2010)*(-5)\/135)\/(2\/(-8))?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -368 = -4*k + 176. Let t = 203 - k. Suppose t = m + 4*w - 51, 3*w + 280 = 2*m. Is m a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 771527 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + -2.1. Let y = -2.6 + 2.9. What is the nearest to g in y, -0.3, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4132033 (base 5) to base 15\nAnswer: -1512d","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 + u**2 + 1. Let r(j) = -2*j**3 - 3*j**2 + 3*j - 5. Let m(t) = -3*g(t) + r(t). What is the remainder when 45 is divided by m(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-11))**(-34)*u**(-2\/61)*u*u**(-4\/9) assuming u is positive.\nAnswer: u**(186947\/549)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1169*m**5*w + 6500*m**2*w + 1836*m*w + 7*m + 103 wrt m?\nAnswer: 23380*m**3*w + 13000*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p - 273 + 1 = 0. Let c = p - -31. Suppose -4 = 4*a, 0 = 2*o - 5*o - 4*a - 7. Is o bigger than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 5*b + 35 = -10*j, 0 = 2*j - 4*b + 20. Is (5\/j)\/(4\/(-32)) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16106 + -10505. List the prime factors of u.\nAnswer: 3, 1867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.4 - 0.43. Let g = o - 1.97. Let k be 3*((-1)\/(-3) + 0). Sort -3\/4, k, g in increasing order.\nAnswer: g, -3\/4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1, -5, -9, -13, -17, -21?\n\"Answer: -4*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 2419 divide 121341254?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/5 - 22\/(-5). Put -0.4, r, 1 in ascending order.\nAnswer: -0.4, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 300034 - 104?\nAnswer: 244430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -p - 5*l + 28, -35 = -3*p + 2*l. Let c = p + -7. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.105 - -10227431.\nAnswer: 10227430.895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5273 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1951\/2 - -998. Find the common denominator of 3\/10*(-322)\/42 and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 105415 by -15.\nAnswer: -21083\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a and 1 h when four letters picked without replacement from ffhaajjjffafawwfaa.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2784\/234 + (-4 - -5). Let t = 259\/52 - f. Let n = 386 - 15437\/40. Calculate the common denominator of n and t.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 - 2*i**2 - 2*i + 5. Let o be c(3). Solve -15 = 11*n - o*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33\/(-2) + (-17 - (-945)\/54)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 10 = 4*w. Let y be 0 - 1\/w*8. Let s = 14 + y. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - 1)\/((-7)\/(68 + 2)). Which is bigger: m or -0.2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, h: 4}. What is prob of sequence nh?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**3*k)**17*(k**1)**15)**42 assuming k is positive.\nAnswer: k**3486","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 - h**2 + 2*h + 16. Let p be w(0). Calculate the highest common divisor of 24 and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pzyp when four letters picked without replacement from {y: 2, p: 2, z: 5, e: 9}?\nAnswer: 1\/3672","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 PM and 4:28 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u - 5. Let l be q(-7). Solve -l - 1 = f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 14\/6 + 44\/12 + -4. Solve t*k + 2 - 12 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 88425?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 + 11*d**2 + 10*d + 2. Determine g(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12558 is divided by 72.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 40846107?\nAnswer: 5\/40846107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-2)\/(-10)*-1)\/(8\/(-16040)).\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7883529?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 55\/75 - 1\/3. Let v(k) be the first derivative of -k + 0*k**2 + 0*k**4 - 2 - p*k**5 + 0*k**3. Differentiate v(y) with respect to y.\nAnswer: -8*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3227106 is divided by 2124?\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31580.08 millennia to years.\nAnswer: 31580080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the second derivative of -g**4\/4 + g. Let o(b) = -6 - 1 + 7 + b**2. Give o(w(z)).\nAnswer: 9*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5\/(-1) + (12 - 2) + -3. Let x(l) be the first derivative of -4\/5*l - 1 - 16\/5*l**3 - 9\/10*l**4 - 13\/5*l**q. Factor x(j).\nAnswer: -2*(j + 2)*(3*j + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000011869047713 rounded to six dps?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(13) - sqrt(208)*-2) + 4)*-6)**2.\nAnswer: 2592*sqrt(13) + 38484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide (3238\/(-7))\/((688\/(-1904))\/43)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 6*a. Let q(t) be the second derivative of 15*t + 5*t**2 + 0 - 1\/20*t**5 + 0*t**4 + 0*t**3. Let u(h) be the first derivative of q(h). Give u(k(f)).\nAnswer: -108*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 9:14 PM?\nAnswer: 7:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*f - 1776 + 67422 - 10602. List the prime factors of f.\nAnswer: 3, 11, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1305683 to the power of 1\/4, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -268*h - 205*h = -40*h - 8660 for h.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -444565, -889004, -1333443, -1777882, -2222321?\nAnswer: -2666760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*m**2 - 9*m**2 - m**2 in the form w + i*m + v*m**2 and give v.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 431, 414, 383, 332, 255, 146, -1?\nAnswer: -192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 63277 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -51, 16, 107, 234, 409, 644?\nAnswer: 951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10)\/20 - (375\/2)\/(-3). Suppose -5*a = -322 + y. Let s = a - 36. Calculate the remainder when s is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12073.5253913 - 0.1053913. Let o = i + -12073.5649919. Let b = o + 0.145. Round b to 6 dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-two fifths of a litre?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-129)\/86*(-88)\/(-12)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of 7*b**5\/5 + b**2 + 7. Find the second derivative of t(l) wrt l.\nAnswer: 84*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.03 + 1.03. Let u(m) = m**2 + 12*m + 1. Let n = 26 + -38. Let y be u(n). Is a greater than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 4*j + 77, -5*j - 5*m = 35 + 30. Let s be 0 + j\/4 - 1\/(-2). Which is the fourth biggest value? (a) 0.3 (b) 5 (c) 4 (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 8, -59, 3 in decreasing order.\nAnswer: 8, 3, 2, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -90 + -81. Let z = -94 - s. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2.37, 3, -2\/5?\nAnswer: -2.37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -228.622566 to zero decimal places.\nAnswer: -229","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 + r**2 + r + 1. Let x(i) = -2*i**3 - 5*i**2 + 2*i + 3. Let u(b) = 3*j(b) + x(b). What are the prime factors of u(3)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/6*((-200)\/(-10))\/1640?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*y = -0*y. Solve y = -4*q + 5*n - 2*n - 15, q = 5*n - 25 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of 6 + 1\/2*m**2 + 0*m**3 + 0*m + 1\/2*m**4. What is the second derivative of c(h) wrt h?\nAnswer: 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/11100 and 29\/222?\nAnswer: 11100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-34 - -35) + (0 - -1) + -3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20 - 20. Let d(j) = 3*j - 23. Let b be (-94)\/517 - 90\/11*-1. Let w be d(b). Sort n, -1, w in increasing order.\nAnswer: -1, n, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 221699 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5)\/(5\/3) - 7. Let q be 6\/18 + i\/3. Which is the third smallest value? (a) 0.5 (b) -0.5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in twenty-three quarters of a milligram?\nAnswer: 5750","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -22\/51?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 16 = -j. Suppose -6*c + c + j*o = -18, 5*c - 8 = -o. Suppose -2 = -c*g + 4*k, g - 1 + 3 = 3*k. Calculate the smallest common multiple of 1 and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -548*r + 545*r = 1066*r + 436*r - 84280 for r.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 11*d**2 - 6*d. Let t(l) = -l**3 + 5*l - 1. Let m be t(-4). Let n = 45 - m. Let y(i) = -n + 2 - 120*i**2 + 65*i. Give 65*g(c) + 6*y(c).\nAnswer: -5*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 427952959?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 - 5*n**2 + n + 7. Let d be p(-5). Suppose -1 + 7 = d*b. Factor -4*x**4 - 6*x**3 - b*x**2 + 0*x**4 + x**4.\nAnswer: -3*x**2*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 105633 rounded to the nearest 1000?\nAnswer: 106000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 12\/365 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of 7\/5*w**5 - 17\/2*w**2 - 128 + 0*w + 4\/3*w**3 - 1\/4*w**4. What is the third derivative of a(i) wrt i?\nAnswer: 168*i - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 202 (base 3) to base 2.\nAnswer: 10100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -17.7 (b) -205 (c) 2407 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -979 divided by 6\nAnswer: -979\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 - 5*v**2 - 8*v + 3. Let w be n(6). Let h be ((-3)\/w)\/((-34)\/495). Let d = -1572\/119 - h. Find the common denominator of d and -79\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2\/15825 - -32404\/5966025. Let b = x - 864\/20735. Are b and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*k + 5*k**2 - 8 + k**3 - 3*k - 35*k**2 - 3*k - 3*k**2 in the form x*k**2 + f + g*k + m*k**3 and give f.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of d**4\/24 + 17*d**3\/6 + 7*d**2. What is the remainder when s(8) is divided by 39*(-6 + 114\/18)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12 by -45.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 19609 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, t: 3, m: 1}. Give prob of picking 3 m.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 5, g: 2, u: 8, a: 2, b: 1}. Give prob of sequence aag.\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5296 - 5296.56. Which is the nearest to o? (a) -5\/6 (b) -3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -76, 84, 593?\nAnswer: 593","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 755 = 3*t, -x + 2*x + 3*t - 355 = 0. Let u be (-10)\/((3\/6)\/(-12 + 24)). Let d = x + u. What is the remainder when d is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2239551021?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the third derivative of t**4\/6 - 2*t**3\/3 + 3*t**2. What is the remainder when p(10) is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4b - -9fe?\nAnswer: 9b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dk when two letters picked without replacement from krrndnn.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 522803 is divided by 26138?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1556009095 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2. Let j(p) = 12*p**2 - p**2 - 15*p**2. Calculate g(j(q)).\nAnswer: 16*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -6*q**3 - 6*q**2 - 8*q + 8. Let j(f) = -4*f**3 - 5*f**2 - 6*f + 5. Let d(m) = m**2 + m. Let k(b) = -d(b) - j(b). What is -8*k(n) - 5*s(n)?\nAnswer: -2*n**3 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 17236 to the nearest 1000.\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 + 6*a**2 - 5*a - 1. Let x = -13 + 28. Let g = 8 + -6. Suppose -5*v = -g*v - x. Calculate b(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211106 to the power of 1\/2, to the nearest integer?\nAnswer: 459","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19056740?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8\/5? (a) -12 (b) -4\/9 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -38*c**3 - 6*c**2 - c + 52. Let l(t) = 39*t**3 + 7*t**2 + 2*t - 65. Give 4*l(y) + 5*w(y).\nAnswer: -34*y**3 - 2*y**2 + 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 732 divide 12092640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 4*s**2 - 43*s + 42. Let u be j(1). Solve -113 + 125 = u*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put together -6518 and -24859417.\nAnswer: -24865935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(130)*2 - (-6*(sqrt(130)*-1 + sqrt(130)) + sqrt(130) - sqrt(130)))\/(-1*sqrt(160) - (sqrt(10) + sqrt(60)\/sqrt(6)*5)))**2.\nAnswer: 117\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -46\/185601 and -65\/8?\nAnswer: 1484808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1554 - 1507. What is the greatest common divisor of q and 799?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.06 * 34274\nAnswer: 2056.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t - 6. Let l = 406 - 655. Let g = l + 242. Let u(i) = 11 - 3*i - 4*i + 6*i. Calculate g*n(m) - 4*u(m).\nAnswer: -3*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 108008 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o + 3. Suppose -z + 2*a - 40 = -6*z, 4*z = -a + 29. Let n be (-60)\/(-18) - 2\/z. Calculate v(n).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6687288?\nAnswer: 2, 3, 131, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (14 + (-3 - -4 - (-1 + 1))).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - 4155c?\nAnswer: -41561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuuuubuububuu. What is prob of picking 1 u and 2 b?\nAnswer: 33\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -24779 + 24784. Let k(n) be the first derivative of 0*n - 15\/4*n**4 - n**5 - 12 - 5\/2*n**2 - c*n**3. Factor k(y).\nAnswer: -5*y*(y + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(85)\/(-2*sqrt(5)).\nAnswer: -sqrt(17)\/2 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w = -3*w. Suppose 2 - 17 = -5*c. Suppose w*u + 9 = c*u. Is 3 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -9*w - 115. Let t(c) = -5*c - 57. Let j(q) = -5*t(q) + 2*z(q). List the prime factors of j(-5).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/3)\/(6*14\/(-1008)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 39\/8 + -491\/104. Let k = 34.2 - 34. Which is greater: k or l?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 - (-6)\/1) + -4. Suppose s*z - 5*u - 40 = 0, 0 = -2*z - u + 2 + 23. Calculate the highest common divisor of 352 and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -83903d + 3?\nAnswer: -83903a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n + 6. Let i(t) = -5*t + 18. Let o(m) = -i(m) + 3*q(m). Let z(j) = -1433*j. Give z(o(d)).\nAnswer: -2866*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 111 divide 5751527?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*r = 15*r + 4*j - 8, -2*j - 12*j = -4*r + 30 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - ((-4 - (1 - (11 + -4))) + -17).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -44844 - -44849. Let p be 2 - 3\/2*-2. Is l > p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-106)\/477 - 47\/(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 168672.916 to the nearest ten.\nAnswer: 168670","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-3)\/(0 + 6\/(-92)) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(2\/83)\/(h*h\/(h*h\/(h*h*h*(h\/h**(-29))\/h*h*h)))*(h*h**7)\/(h\/h**23) assuming h is positive.\nAnswer: h**(-330\/83)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(168)*1)\/sqrt(6))\/sqrt(4)*4)**2 + 1*(sqrt(63)\/(sqrt(27)\/sqrt(3) + sqrt(9)) + 5)**2.\nAnswer: 5*sqrt(7) + 555\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5132754 and 189486?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 342*f - 306*f - 252 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 + m - 4. Let b be ((-6)\/3 + 9)\/1. Suppose -b*i - 15 = -2*i. What is w(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 326 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -339, -710, -1081, -1452, -1823, -2194?\n\"Answer: -371*q + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34295*r**5 - 126350*r**4 - 42180*r**3 - 4520*r**2 - 160*r = 0.\nAnswer: -2\/19, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -15*g - 2. Let s be p(2). Let c = -8 - 4. Let w = c - s. Calculate the remainder when w is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 + 8*w**2 - 88*w - 53. Let x be t(-14). Let b(o) be the first derivative of 21 + 4\/5*o**2 - 2\/15*o**x + 2*o. Factor b(d).\nAnswer: -2*(d - 5)*(d + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -5\/2, 2\/7, -2\/7, -49?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6, 5, -0.5?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1469?\nAnswer: 13, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, 53848, 0 in ascending order.\nAnswer: -4, 0, 1, 53848","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4855*h**3*l + h**2*l - h*l - 2*h - 3779633*l - 1 wrt h?\nAnswer: -14565*h**2*l + 2*h*l - l - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -3*m + 5*m. Suppose m = 2*a + h + 1 - 11, -5*a - 2*h + 24 = 0. Solve -5*g - 1 = a for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 5*d - 0 + 16, 0 = 4*u + d - 6. Find the second derivative of -7*j**5 + u*j**2 + 16*j - 10*j + 27*j wrt j.\nAnswer: -140*j**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10272633 (base 8) to base 12\nAnswer: 898b8b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*y**4 + 3*y**4 - y**4 + (-2*y + 3*y + y)*(y**3 - 3*y**3 + 3*y**3) + (y - 2 + 2)*(3*y - 3*y + 2*y**3).\nAnswer: -y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*9)\/(-46 + 49).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -884061348 divided by -9734?\nAnswer: 90822","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/2*(-75)\/175*(-49)\/42?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5631215 and 610?\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1353209107 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1688921 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13 + 16. Let m be c\/(2 + 101\/(-52)). Suppose 186 = v + m. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 207942 is divided by 3362.\nAnswer: 2860","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 18304*g + 256359. What is m(-14)?\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 579400 to the nearest ten thousand.\nAnswer: 580000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of p**4\/8 + 105*p**2. Let x(a) = 10*a. Determine z(x(r)).\nAnswer: 30*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -52*b**3 + 14*b**2 + 8*b - 7. Let w(s) = 53*s**3 - 12*s**2 - 7*s + 6. Calculate 6*r(u) + 7*w(u).\nAnswer: 59*u**3 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 595212.7ug to tonnes.\nAnswer: 0.0000005952127","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 21027 - 4?\nAnswer: 21023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 16*i**2 - 2*i - 8. Is c(4) a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18111400 is divided by 884?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 487 is divided by 79.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(18\/13)\/d**(3\/11))**(1\/3))**8 assuming d is positive.\nAnswer: d**(424\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.050832662 times 1\nAnswer: 0.050832662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 4 - (11 + -8 + -2 + -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -44026473*g**2 + 107*g - 99690 wrt g.\nAnswer: -88052946","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, y: 4, i: 2}. What is prob of sequence ii?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -62.15 + 168.15. Which is the second smallest value? (a) -0.5 (b) -4 (c) 0 (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5323*s - 3898*s - 2951*s as t*s + f and give t.\nAnswer: -1526","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6753 - -6980. What is the remainder when 1105 is divided by s?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 16272117, 16272118, 16272119, 16272120?\n\"Answer: l + 16272116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 111\/(-1665) + -13 + (-14632)\/120?\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.835641 days in weeks?\nAnswer: 2.833663","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 4*f**3 - 24*f**2 = 0.\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.297 rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 312600 divided by -62520.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 21067944 divided by -3511324\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-3 + sqrt(99)).\nAnswer: -3*sqrt(11) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(637)*-1*-1 + (-1*sqrt(637)*4 - sqrt(637)) + -4*sqrt(637) + -4 + 1)**2.\nAnswer: 336*sqrt(13) + 40777","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + 1 + 14 + -6.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 99*x - 83*x + 2*x**3 - x**3 to c*x**2 + p*x + s + w*x**3 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8447*k**3 - 8464*k**3 - 8400*k**3 + 25328*k**3.\nAnswer: 17*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 k when three letters picked without replacement from {b: 1, y: 1, v: 1, r: 2, g: 2, k: 2}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ki when two letters picked without replacement from ikkkkikiikiiikikik.\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 23 = 5*p, n - 18 = -4*p - 1 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9 and 637?\nAnswer: 5733","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + t - 2 = u, -10 = -u - 5*t. Suppose 0 = -u*z + 5*z - 4175. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -156097 - -222199. List the prime factors of o.\nAnswer: 2, 3, 23, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 156701?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 673*j**2*r*y**3 - 2*j**2*r*y**2 - 9*j*r**2*y**3 + 4*j*r**2*y - 15*j*y**2 - 3*r**2*y + r*y wrt y.\nAnswer: 4038*j**2*r - 54*j*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-6)*h*h)\/(h\/h**0)*h**1*h*(h\/h**1)\/h)\/((h\/(h**(-2\/13)\/h))\/h*h*h**(2\/13))**27 assuming h is positive.\nAnswer: h**(-862\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 + 41. Let a(u) = 4*u**2 - u - 3. Let l(t) = -5*t**2 + 2*t + 4. Let x(d) = 4*a(d) + 3*l(d). Let p be x(-2). What is the units digit of j(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 - 4*n. Let q be g(-4). Suppose -5 = -t + 2*w, -3*t + 4*w - q = -7*t. Let u(b) = -4*b + 2. Determine u(t).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11340330121 + 14?\nAnswer: 11340330140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -7*v - 58. Does 6 divide b(-18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17281, -76126, -176535, -318508, -502045, -727146, -993811?\nAnswer: -1302040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2579\/15 - -514\/3. What is the closest to 13\/3 in j, -5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25980 minus 4.26809?\nAnswer: -25984.26809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 4*c - 5443, -m + 2657 = 3*c - 1428. What are the prime factors of c?\nAnswer: 2, 3, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (40 - 12)*(-1)\/(-2). Let k = d - 9. Suppose 59 = 3*v + 2*c, -k*v = -4*c + 5*c - 96. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2178 and 46222.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 6\/5 of a milligram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6494790 is divided by 321?\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, 3007382, -8 in descending order.\nAnswer: 3007382, 3, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -115.7234 rounded to 0 dps?\nAnswer: -116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -340505 divided by 11?\nAnswer: -30955","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-10 - -8)*2\/4. Let q be (-10)\/(2\/1*-1). Let f = m + q. Solve -25 = -5*x, f*x - 40 = 3*v + v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f + f - 291*f**3 - 2.\nAnswer: -291*f**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -101 - -101. Let z = 48 - 46. Solve -4*y = 2*q - 20, c*q - z = -q for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -90 - ((-16 - -12 - -7) + (19 - 23)).\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -177\/164 (b) -0.3 (c) 0.38\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18192*a**4 + 97*a**3 - 1084*a**2 - 8*a wrt a?\nAnswer: -436608*a + 582","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fi when two letters picked without replacement from {f: 1, i: 7}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 11 + -14 - 15) + 9 - 26?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 4 - 5 - b**2 - 2*b**2 - 4*b**2 - 18. Let g(k) = -2*k. Calculate g(y(v)).\nAnswer: 14*v**2 + 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express h**3 - 58*h**2 + 90*h**2 - 4*h**3 - 6*h**3 + 14 + 4*h**3 as o + y*h**3 + t*h**2 + r*h and give t.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -116, -256, -394, -530, -664, -796, -926?\n\"Answer: l**2 - 143*l + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - p + 3 = 2*y, -y - 16 = 4*p. Suppose y*u = a - 16, u = 2*a + 2*u + 4. Suppose -7*r + 5*r + 20 = a. Is r a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from rrrknkmmrkk?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 8.655388 centuries?\nAnswer: 86.55388","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 473*u. Let j(y) = 8*y**2 - y - 3. Let i(g) = 14*g**2 - 2*g - 6. Let z(b) = i(b) - 2*j(b). Determine n(z(a)).\nAnswer: -946*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 151 (b) 46 (c) 2 (d) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*q + 60*q - 29*q + 4*q**2.\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -256 + 255.9999516. What is q rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -10 (b) 48 (c) 1\/2 (d) -18 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*a - 3*a**3 - 5*a**3 + 16*a**3 - 10*a**3 + 8*a**4 - a**2 as i*a**2 + y*a + p*a**3 + b + q*a**4 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (8 - 3) + (-1 - (3 + -2)). Solve -i*x + 14 = 4*y + 40, -3*x + 14 = -4*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-5)*30\/84. Suppose r - 3*r = 2*i - 10, 2*i = 3*r. Put i, -0.3, h in decreasing order.\nAnswer: i, h, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 54906 and 45.\nAnswer: 823590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78268 is divided by 8686?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 PM and 1:04 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*r**2 + 29*r**2 + 19*r**2 + 40*r**2 to the form a*r + d*r**2 + q and give d.\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-one halves of a micrometer in nanometers?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 56 and 278488.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-220675)\/(-130)*(-4)\/(-14) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by 28693509.\nAnswer: 2\/9564503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 5:49 PM?\nAnswer: 1:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00065812 to six decimal places.\nAnswer: 0.000658","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -8*l + 91. Suppose -199*n + 110 = -189*n. Let k be y(n). Solve -2*r = g - 2*g + 9, k*g - 23 = 4*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-73 - -47 - (-43 + 1)) + -6.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**9)\/(i*i**(-13))*(i**(-3))**(-8\/7) assuming i is positive.\nAnswer: i**(178\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 77238*v**2 + 153*v - 436. Is w(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 + 19. Solve -3*h - n = -3*l, 7*l + 4 = -4*h + 3*l for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2*(-21)\/(-18))\/(49\/42)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**2 + 2380644*x.\nAnswer: -3*x*(x - 793548)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-20)\/(-6))\/((-54)\/(-2835)). Suppose -4*x + c + l = 0, 13*x - 15*x - 5*c = -71. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3343 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -51.9 - -51.83. What is the biggest value in 0.4, a, 0.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 643103 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-2)*1\/(-3). Suppose -4 = 5*n + z. Calculate the smallest common multiple of 6 and (-11)\/(-11)*(0 - n).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**4 + 2643*j**3 - 114534*j**2 + 1619940*j - 7598136.\nAnswer: 3*(j - 14)**3*(j + 923)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -75*u**3 - u**2 + u. Calculate t(1).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 28*i**2 - 3*i + 1939. Let z(q) = 10*q**2 - q + 647. Determine -4*h(y) + 11*z(y).\nAnswer: -2*y**2 + y - 639","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9969917873 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 5:59 PM?\nAnswer: 8:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -574, -577, -580?\nAnswer: -583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8087524.488 rounded to the nearest ten thousand?\nAnswer: 8090000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 0. Suppose -d + 3*x + 71 = d, -4*d + 3*x + 145 = b. Let r = d - 1. Is 18 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5102*r + 3576*r - 8037*r - 2306*r.\nAnswer: -11869*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 641124?\nAnswer: 2, 3, 11, 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 46 (c) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4249.\nAnswer: 7, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (16\/((-384)\/90))\/(6\/((-54)\/15)*3). Let h be (-34)\/(-10) - 2\/5. Let u be ((-2)\/4)\/1 + 0. Sort k, h, u, -5 in descending order.\nAnswer: h, k, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4592*y - 174 + 9186*y - 4596*y)*(3 + 4*y - 3).\nAnswer: -8*y**2 - 696*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, -26.6, 0.3, 0.77?\nAnswer: -26.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + r**2)*(15 - 15 - 5*r) + (-4*r**2 + r**2 + r**2)*(-4*r + 5*r - 2*r).\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 0.0292\nAnswer: -0.0292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*m**4 + 82687*m**2 + 448580 wrt m.\nAnswer: 12*m**3 + 165374*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 433731.9 millennia in centuries?\nAnswer: 4337319","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 1, 4, -6, 1\/4 in increasing order.\nAnswer: -6, -0.1, 1\/4, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93317 is divided by 1333.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 + 17. Suppose j*h + 38 = 4*z, -5*z = -h + 5*h - 27. Suppose 3*t = -17 - z. Let c(f) = f**3 + 8*f**2 - f - 11. Give c(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 3146*q**2 - 1603*q**2 - 1545*q**2. Let h(v) = 6*v - 251. Give j(h(b)).\nAnswer: -72*b**2 + 6024*b - 126002","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 3*f + 118. What is the hundreds digit of i(37)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 151 divide 68705?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 + 1. Let s(x) = 10*x**2 + 5. Suppose -2*p = -3*o - 5, 0*o + 8 = -12*o - 4*p. Give o*s(u) + 3*m(u).\nAnswer: -13*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 199425?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 536 or 541?\nAnswer: 536","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m + 1 - 1)*(-2*m**4 + m**4 + 2*m**4) + m**5 + 3*m**4 - 3*m**4 + (-5*m**3 + 2*m**3 + 4*m**3)*(-5*m**2 + 3*m**2 + 3*m**2).\nAnswer: 4*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 3*r**3 - 2*r**2 + r - 6. Let i(u) = -5*u**3 + 5*u**2 - u + 12. Let l(g) = -4*i(g) - 7*j(g). Let v be 185\/10*(-3 + 1). Let p = v - -31. Give l(p).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27464451 divided by -83\nAnswer: -330897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of o**5\/30 + 22*o**4\/9 + 32*o**3 - 27*o + 102. Find t such that z(t) = 0.\nAnswer: -36, -8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/24*9*(-1)\/(-3)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*v + 19207 = 18793 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 25*a + 3. Let u(y) = -5*y**2 - 11*y + 11. Let q(o) = -2*o**2 - 4*o + 4. Let v(i) = 11*q(i) - 4*u(i). Calculate t(v(r)).\nAnswer: -50*r**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -26848159\/180 + 149157. Calculate the common denominator of g and -32\/9.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 2 - 7. Suppose 5*w - u = 27, -d*w - 5*u + 10 + 23 = 0. Calculate the highest common factor of 18 and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 - 8.1. What is the closest to 1 in -3, q, -0.7?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 - (-2 - (-1 + -2 + 7))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y + 9. Suppose 3*z + 5*m = m + 1, 0 = -5*z - m + 13. Let t be (z - -6) + 0\/1. Let n be b(t). What is the biggest value in n, -1\/2, -4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*w = 426 + 303 for w.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 40 * -290.\nAnswer: -11600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 3*t**2 + 76*t + 305. What is k(-12)?\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 32446 or -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cxrc when four letters picked without replacement from {r: 7, c: 2, x: 1}.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 + 6*(-2)\/9 + 0. Factor 14\/9*p**3 + 0 + 10\/9*p**4 + z*p**2 + 2\/9*p**5 + 0*p.\nAnswer: 2*p**2*(p + 1)**2*(p + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 1 + (4 + 1 - 3)*(2 + 3 - 3))*(2*p**3 + 0*p**3 - 4*p**3) + 311*p**3 + 2194*p**3 - 715*p**3.\nAnswer: 1786*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - k + 47 = 11*s, -6*k = 2*s - 2. Solve 3*w - s = g, -2*w = 2*g - 2 - 18 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 278466?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**3\/5 + 10*i**2 - 384*i\/5 + 936\/5.\nAnswer: -2*(i - 13)*(i - 6)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 178*u + u**2 - 3 - 89*u - 88*u. Calculate r(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.01*1.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**2 + 2*b**2 - 2*b**2)*(-4*b - 4*b + 6*b) - 27*b**3 - 126*b - 25*b**3 - 22*b**3 + 72*b**3.\nAnswer: -6*b**3 - 126*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 8, 3\/2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1310 - 921. Suppose 2*j + d + 241 = 0. Let a = 482 + j. Is 25 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12738?\nAnswer: 2, 3, 11, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 14 = -2*s, 3*k + 0 = 3*s + 21. Let z(q) = -3*q - 8. What are the prime factors of z(s)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -236\/3 + 79. Let l(r) be the second derivative of -2*r - 1\/21*r**7 + 0 + 0*r**5 - 1\/3*r**4 + a*r**3 + 2\/15*r**6 + 0*r**2. Let l(q) = 0. Calculate q.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 984 and 123?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/7)\/(((-37)\/(-518))\/((-2)\/388))\nAnswer: 2\/97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of ((-20)\/12 + 2)\/((-2)\/(-6)) and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-22) + 872\/(-44)*-10. Calculate the highest common divisor of 22 and b.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -17542, -17540, -17538?\n\"Answer: 2*o - 17544","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*p + 5*d + 25, 7*d = 2*p + 10*d + 20 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 + 2*s + 1. Let c be t(-2). Suppose c = u - 4. Find the first derivative of -39 + 2*j**4 + 31 + u*j**4 wrt j.\nAnswer: 28*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-145)\/20 + 7 + (-14)\/8. Let v be 4*(-31)\/y*114\/76. What is the greatest common divisor of v and 62?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -6*y + 10*y + 173 - 90 - 86. Determine m(-8).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*l**5\/11 + 33278*l**4\/11 + 133092*l**3\/11 + 18148*l**2 + 133082*l\/11 + 33270\/11 = 0. What is l?\nAnswer: -16635, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -269\/1419 + 1\/129. Let m = -31 - -30. Let w = 3845\/8 - 481. Which is the third smallest value? (a) f (b) m (c) w (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, 0, 0.222, 1\/4621, 2, -2\/3, 1?\nAnswer: 0.222","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Is 612767 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -6630.2*0.1\nAnswer: -663.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 816 a factor of 738007?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j + 6 = 22. Let n be (-4 + j)*(-573 - 3). Suppose 2*x - 2340 = 2*k, -x - 2*k = 3*k - n. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -275 = -28*j - 13*j + 53 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06761701891 rounded to five decimal places?\nAnswer: 0.06762","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 82758 - 82757.6. Let h = -4.3 - -0.3. Which is the biggest value? (a) n (b) -35 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -12, -2, 72 in descending order.\nAnswer: 72, -2, -8, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jejejbbbjjjb. Give prob of sequence bje.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*u - 2*u + 8. Calculate the common denominator of u\/10 - (-431)\/(-90) and -23\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 28, 56, 84, 112, 140?\n\"Answer: 28*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-5\/7))**(-30)*(n**(30\/11))**(-1\/5) assuming n is positive.\nAnswer: n**(1608\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k*k*k**(2\/27)*k*k*k)\/k)\/k*(k**(-34)*k)\/k*((k*k**19)\/k)\/(k*k**(-2\/59)*k*k*k) assuming k is positive.\nAnswer: k**(-22130\/1593)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -117978*m - 14589946 - 318*m**2 - 2\/7*m**3 = 0.\nAnswer: -371","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 375353 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.9 - -2. Let b = 1.3 - u. Let z be (1 + -6)*1 + 3. What is the closest to 0 in b, z, -3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72)\/(sqrt(27)\/sqrt(3)))\/sqrt(4))**2 + -3*sqrt(8)\/(sqrt(4)*-2).\nAnswer: 2 + 3*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -146, -0.3, -0.5 in increasing order.\nAnswer: -146, -0.5, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -385 - -342. Let q = -48 - h. Let k be 15\/(-8) - 4\/(-2). Which is the biggest value? (a) -2\/7 (b) q (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kcckfkff. Give prob of picking 2 c, 1 f, and 1 k.\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 52704 and 6039.\nAnswer: 579744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5\/2, -4, -1\/7, 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 3\/(9\/(-3)) + (0 - -21).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1149 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3895370 is divided by 61?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01797279727 to 2 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 375 is divided by 89?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 518 and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6 (b) -3\/7 (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/4 and (-236)\/(-126) + (-24)\/(-42)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 210 is divided by 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 29233?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 503923471 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -15\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 + (-1 - 4\/(-4)). Let h(v) = -2*v**3 - 5*v**2 + 3*v - 2. What is the remainder when h(-4) is divided by (-15 - (-3 + 6))*(-4 - c)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*((-154)\/(-110))\/(-7)*-1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 AM and 4:43 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24 - -35. Let x = t + 62. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*c**5 - c**5 + 5*c**5 + (18*c**2 - 15*c**3 - 22*c**3 + 38*c**3)*(-1995*c + 1995*c + 62*c**2).\nAnswer: 63*c**5 + 1116*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 2*h - 29 = 0, -3*r = 3*h + 2*h - 6. Solve 6*l = r*l - 3 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1987 + 1978.27. What is q rounded to zero dps?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -2*z**2 + 131*z + 5. What is the tens digit of f(44)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -631, -39, 873, 2105, 3657?\nAnswer: 5529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.9 in 0.33, 0.8, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.6 + 5. Let t = 1266.55 + -1256. Let c = -7.55 + t. What is the nearest to -1 in c, g, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 PM and 6:14 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3032001322 (base 4) to base 16.\nAnswer: -ce07a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 7, 1\/2, 0.292?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 AM and 4:54 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -76 - 4. Suppose s*l = 3 + 77. Factor 0 + 0*y**3 + 0*y - 1\/4*y**l + 1\/4*y**2.\nAnswer: -y**2*(y - 1)*(y + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6355059 millilitres to litres.\nAnswer: 0.0006355059","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(-14)*68\/102. Factor g + 5\/7*h**5 + 26\/7*h**2 + 9\/7*h + 34\/7*h**3 + 3*h**4.\nAnswer: (h + 1)**4*(5*h + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 - 4*k + 0*k + 0*k - k + (1 - 1 + 2)*(-1 + 1 - k).\nAnswer: -7*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -6 + 3 - (-6 - 2). Suppose 4*m = -w + y, -4*w + w + 6 = 3*m. Suppose -2*f - 2 = 0, -4*k = f - 3 - 4. Solve -k*n - w = -n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1236*2.18673\nAnswer: -2702.79828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-368)\/69)\/((-2)\/6). Suppose p*f - 180 = 6*f. Does 9 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15908 and 35588?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + 2*b)*((2 + 0 - 1)*(-7*b + 2*b + 3*b) - 2*b - b + 2*b - 4*b + 6*b - 3*b) as d + u*b**2 + y*b and give u.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -0*f - 16. Suppose 0 = 5*i - 20, -f*i = -0*k + 2*k - 40. Let y = 47 + -1. What is the remainder when y is divided by k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 3*u + u. Suppose -6 = 274*n - 276*n. Sort n, u, 4 in descending order.\nAnswer: u, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + -1. Suppose 4*g - s = 1. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 34425282 and 546?\nAnswer: 3132700662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 4*c**3 - c**2 + 2*c - 1. What is the units digit of z(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1*(-5)\/(-40))\/1. Is s at least 4\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 3*p = -2*z + 6, 3*z = -3*p - 6 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m**2\/3 + 764472*m - 219156539544 = 0. What is m?\nAnswer: 573354","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1020 - -1023. Let m(v) = -5*v**3 - 8*v**2 - 12*v + 2. Let i(j) = 2*j**3 + 3*j**2 + 4*j - 1. Determine q*m(k) + 8*i(k).\nAnswer: k**3 - 4*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4\/10 - (-168)\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q\/q**(-1\/9)*(q*q*q\/((q\/(q**5\/q))\/q)*q*q*q)\/q)\/((q*q**2*q)\/q)**(-4\/3))**(-49) assuming q is positive.\nAnswer: q**(-6664\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -6*p. Suppose -477 - 521 = -5*l + 3*j, l - j - 198 = 0. Let a(w) = -l + 4*w**2 + 202. Give a(c(t)).\nAnswer: 144*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*d - 4*d - 5*d**3 + 7*d + 2 + 7*d + 6*d to the form x*d**3 + v + o*d + u*d**2 and give x.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/11 (b) 170 (c) -39643\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7968*p - 263605 - 7307 for p.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (66\/(-198))\/((-16)\/56 - (-158)\/504).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) 3\/4 (c) 13 (d) 0.2 (e) 0.18 (f) -5 (g) -2\/15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -4*o + 10, h = -h + o - 16. Let i(z) = z**2 - 4*z - 5. Let g(b) = 5*b - 3. Let y be g(2). Let x(v) = v**2 - 5*v - 6. Give h*x(m) + y*i(m).\nAnswer: m**2 + 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 73 = q, -2*q = 4*g + 22 - 174. Let h be 8*-7 + (0 - -2). Let b = q + h. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 c when three letters picked without replacement from {n: 8, c: 5, m: 4}.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q - 0*q - 68. Let d = q - 63. What is d rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -4 + 7 - 2*l**2 - 10*l + 8*l - 4*l**2. Let f(m) = 5*m**2 + m - 2. What is 4*f(n) + 3*y(n)?\nAnswer: 2*n**2 - 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -4.4 * 14.02132\nAnswer: -61.693808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(5 + sqrt(19)*1*-6 + 2 + -3 + sqrt(19) + sqrt(95)\/(sqrt(20)\/sqrt(4))).\nAnswer: -12*sqrt(19) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = 3*v + 22, -v + 0*q - 12 = -4*q for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -72 (b) -2 (c) -1 (d) 143 (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (-12 - (6 - 12)) - 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3\/136 - -311\/1768. Determine t so that -b + 0*t + 2\/13*t**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/10))**3*(q**(-4\/3)*q)\/(q\/(q*q\/q**17)) assuming q is positive.\nAnswer: q**(-499\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 7*a = -4*a + 23, 2*v + 3*a = 5. Suppose -v*z + 65 = -3*m, 4*m + 85 = 5*z - m. Is (-382)\/3*(-21)\/z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2945)\/140 + 10\/35. Which is smaller: 2\/23 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-6)\/192*-4)*1.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -2*d**3 - d**2 + 4312*d + 12903. Determine o(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 164.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2 + 7*n. What is w(12)?\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -2*(-18)\/(-63) + 342\/84?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 300*f - 2*f**2 - 302*f + 2*f**2 + 3*f**4 - 4 as y*f**4 + h*f + a*f**3 + d + b*f**2 and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.0348258 months?\nAnswer: 0.000290215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 276, 274, 272?\n\"Answer: -2*v + 278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**2\/5 - 39144*i\/5 + 742292\/5.\nAnswer: 4*(i - 9767)*(i - 19)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14)\/sqrt(2))**2*-1 + 0 + sqrt(112) + 1*sqrt(847)*6.\nAnswer: -7 + 70*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 646 - 44 = 0. Let t be (2 - (-32)\/(-14)) + w\/(-70). Let q(j) = 15*j**3 - 3*j**2 - 7. Is q(t) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5114561*c**4 - 9843104 wrt c?\nAnswer: -20458244*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k + 47 - 72. Suppose 0 = k*u - 8*u. Suppose -t - 15 + 42 = u. Do 27 and t have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -2*j**2. Let q(g) = -25*g + 9366. Determine q(a(v)).\nAnswer: 50*v**2 + 9366","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-10))\/(39\/234*2\/5)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 31 = 3*x, 0 = 5*x - 4*h - 10 + 40 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26.814582 months to millennia.\nAnswer: 0.0022345485","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a**2 - 41919*a + 1892430 = 0 for a.\nAnswer: -14018, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r**3 - 5*r**2 - 66*r - 135. Determine m(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -12*a**5 + 76*a**4 + 308*a**3 - 156*a**2 - 216*a = 0?\nAnswer: -3, -2\/3, 0, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -914*m + 33030086 - 33030087 + 912*m.\nAnswer: -2*m - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 47.41089 days in hours?\nAnswer: 1137.86136","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21854 - 21851. Factor -11\/5*n**x - 9\/5*n + 2\/5 + 3\/5*n**4 + 3*n**2.\nAnswer: (n - 1)**3*(3*n - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-46)\/(-230) - 8\/(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 13e - -a871?\nAnswer: a9b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f**3 + 4636*f**2 - 868076*f + 44720084 = 0.\nAnswer: 109, 941","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 - (56\/504)\/((-2)\/(-18)). Solve j = 2*t - x - 7, -x - 9 = 2*x for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 170 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/7, -0.4, -524.5 in ascending order.\nAnswer: -524.5, -4\/7, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24003590.\nAnswer: 2, 5, 13, 29, 6367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-245)\/(-588)*(-1)\/(1\/2)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21 + 63. Suppose -y = y - h. List the prime factors of y.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -39, -38, -39, -42, -47, -54, -63?\n\"Answer: -h**2 + 4*h - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -k**2*p + 2*k**2 - 6*k + 3883*p - 624 wrt p?\nAnswer: -k**2 + 3883","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22658 is divided by 21015?\nAnswer: 1643","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 183954 and 105522.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7\/15 of a day?\nAnswer: 40320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 3)*(o + 2*o - 2*o) - 188381*o + 56 + 376740*o - 188386*o.\nAnswer: -29*o + 56","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 235624 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(684) + sqrt(684) + 2*(sqrt(684) + (sqrt(684) + 0)**2 + sqrt(684))).\nAnswer: -1368 - 36*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -163380.2 - 5\nAnswer: -163385.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zc when two letters picked without replacement from zczcc?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -3*f**2 + 1\/4*f**4 - 4*f + 0*f**3 + 0 = 0.\nAnswer: -2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 PM and 7:49 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/15, -10, 2 in decreasing order.\nAnswer: 2, -1\/15, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 + 1. Let z be a(1). Suppose 2*j = m + 11, -j + z*j + m = -7. Solve -j*s - 6 - 14 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 4*y = 5*b - 401, -1921 = -5*b - y. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*f = 12*f - 3. Let b(o) = -6*o - 3. Let j be b(f). Solve j*t - 2 = 13 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2\/11 - 1284*p\/11 + 4098096\/11.\nAnswer: -2*(p - 1146)*(p + 1788)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 2:47 AM?\nAnswer: 6:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 take away -75065155?\nAnswer: 75065150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.07 - -1.31. What is m rounded to 1 dp?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 42 - 225?\nAnswer: -173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -36, -73, -110, -147, -184?\n\"Answer: -37*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/12 + (-80)\/6 + 0. Let k(f) = -2*f - 21. Let m be k(p). Suppose 5*r + 0*r - 216 = -2*a, m*a - 4*r = 474. What are the prime factors of a?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 0*w = -3*w - 10, 0 = -3*o + 5*w + 15. Suppose -3*d - o*x + 111 = -484, -4*d + 784 = 2*x. What is the greatest common factor of d and 78?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 not equal to -34\/15473?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 115 + -578\/5. Let l = -50 + 49.6. Which is the smallest value? (a) 4 (b) x (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 - (1 - (8 - 6 - 5) - -3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 253 + -250. Suppose -810 = -0*u - b*u. What are the prime factors of u?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-2))**(-27))**(-9))**(1\/9) assuming a is positive.\nAnswer: a**(-54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -276 - -280. Suppose -l + 475 = i, d*i - 1896 = -4*l - i. List the prime factors of l.\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 2*y**3 - 7751*y**2\/2 - 494889*y - 123480 = 0.\nAnswer: -120, -1\/4, 2058","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least 1\/24643?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32809?\nAnswer: 7, 43, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2534 - 2534.0001611. What is o rounded to four decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105 = 3*q - h - 137, -5*q + 408 = -4*h. Suppose -a - 7*a + q = 0. Is a less than 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*l - 7*l + 38*l)*(-8*l**2 - 16*l + 16*l + 2) as g*l + c*l**2 + k + u*l**3 and give g.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 11 + 1 = -d, 0 = 5*x + 5*d for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4613291 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1439872843 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(-10) - 64\/(-10) - 5. Let r be 1\/(-1) + (-78)\/(-3)*l. Is 52 != r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 235675 is divided by 532.\nAnswer: 531","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -280*j + 905*j - 23*j**3 - 72*j**3.\nAnswer: -95*j**3 + 625*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 20*r**3 + r**2 + 4*r + 2. Give a(-1).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -54680, -64889, -75098, -85307?\n\"Answer: -10209*d - 44471","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 389385522?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -28036*w**3 - 26600*w**2 wrt w?\nAnswer: -168216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 581, 711, 1067, 1763, 2913, 4631?\n\"Answer: 19*f**3 - f**2 + 563","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 j when three letters picked without replacement from {p: 1, w: 1, a: 5, k: 4, j: 5}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 + 9*p**2 - 13*p + 49. Let j be o(8). Suppose -9*x = x - j*x. Let k(u) = u**2 + 35. Calculate k(x).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4974709 is divided by 2078.\nAnswer: 2055","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/1345200 and 9\/112100.\nAnswer: 1345200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 144, 7, 4, -3 in decreasing order.\nAnswer: 144, 7, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*w + 10166 = 2426. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 5)*(-b + 3*b - 3*b) - 19 + 21*b + 19 + (3*b - 4*b + 2*b)*(-1 + 1 + 2) + (-2*b + b - b)*(0 - 2 + 1).\nAnswer: 26*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 207?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6284307 to the power of 1\/2, to the nearest integer?\nAnswer: 2507","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + u)*(u - u + 3*u)*(-u**2 - 3*u**2 + 8*u**2).\nAnswer: 12*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-57 - (3 + -2)) + (3 - 5). Let n = 38\/795 - -12781\/11660. What is the common denominator of (0 - 29)*((-423)\/b - 7) and n?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -2*x**3 + x**2 + x - 1. Let m be l(1). Which is the nearest to 2\/7? (a) 2 (b) -1\/2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 2*p = -2*m + 4, 3*p + 21 = -3*m. Let j(x) = -x**2 - 7*x - 8. Let v be j(m). Let f = 2684 - 2687. Is f >= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 - 6*y - 6. What is o(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.2, 728\/5, -3\/7, 3\/2, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/14202 and -61 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 7 = 4*g, 0 = -4*a + 53*g - 55*g - 24. Which is bigger: -71\/13 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 70 + -74. Let z = 670 - 1129. Let l be (-4)\/(-8) + (z\/6)\/3. Sort -5, l, t in decreasing order.\nAnswer: t, -5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 247 (b) -0.04 (c) -0.0363 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -321032 (base 4) in base 11?\nAnswer: -282a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3708?\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 5 + 5*u - 4*u**2 - 5*u**2 + 10*u in the form s + g*u + m*u**2 and give m.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (13 + 1 + -23)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)\/((sqrt(72) + sqrt(8))*2))**2*5.\nAnswer: 55\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/((-4)\/(-21)) - 2. Let s = q + -10. What is the second derivative of -o**5 - 2*o - s*o**4 + 9*o**4 wrt o?\nAnswer: -20*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 2698\/7, -2\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*o**4 + o**2 - 6147 + 6154 + 0*o**4 - 8*o to z*o**2 + c + g*o**4 + a*o**3 + s*o and give s.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-128)\/56)\/((-4)\/6) + 24\/(-8).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 39*m**2 + 43*m - 1189. What is c(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z**3 - 10*z**2 + 2*z - 102*z**2 - 54*z**2 + 43*z**2 - 56*z**2 to l + i*z**3 + n*z**2 + p*z and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*h - 4*h + 2*h)*(-14 - 7*h + 10*h + 5)*(-4*h**2 + 3*h**2 + 2*h**2) to the form v*h**2 + c*h**4 + d*h**3 + f*h + r and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46173, -45973, -45763, -45543, -45313, -45073?\nAnswer: -44823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 76935633?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 3, 0.4, 18?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(36)*-2)\/sqrt(2) + sqrt(72) + 1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*u**6 + 18*u**3 + 228*u**2 + 2.\nAnswer: 960*u**3 + 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 7\/2 of a tonne?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 2*w + 13. Let m be i(-6). Suppose -n = -4*b + 10, -2*b - m + 17 = 5*n. Suppose b*y = 5*z + 6, y + 4*z = 2 - 0. Solve -6*c + 8 = -y*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1\/1202 - -1207\/6010. Suppose 1 = 4*a - 4*y - 7, -4*a - 5*y = 28. What is the nearest to -0.2 in -2\/5, p, a?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22702?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -k - 2*t - 3 - 2, t + 5 = 2*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 382356 is divided by 3261.\nAnswer: 819","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-37 + 37 - 18*p**2)*(3 - 4 - 2) + (2*p - 3*p + 0*p)*(28 - 28 + 25*p) as v*p**2 + d*p + u and give v.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzzzzezzzezzzeezzzz. What is prob of sequence ezze?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6562759*c + 3019338 wrt c.\nAnswer: 6562759","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in seventy-nine halves of a centimeter?\nAnswer: 395","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 483*c**2 - 8*c + 18. Let f(s) = -12*s**2 - s + 1. Give -10*f(j) + g(j).\nAnswer: 603*j**2 + 2*j + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 544.4 - 544. Which is smaller: z or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2295 - -139986\/61. Is v < -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*z - 4*t - 6 - 30 = 0, -2*t = -z - 7 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 10:10 AM?\nAnswer: 10:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -5 - -5 - 3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 108834 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 4*n**3 - 9*n**2 - 282*n + 875. Determine b(3).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 640 and 617920?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1238, 2476, 3714, 4952, 6190, 7428?\n\"Answer: 1238*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -38, 265, 5, -4, 1, 17 in decreasing order.\nAnswer: 265, 17, 5, 1, -3, -4, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11794 - -18109. What is the highest common divisor of 17 and b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9)\/(-2) - (-24)\/(-16). Suppose -v*s = -2*w - 3 + 1, -3*s = -6. Solve -3*a + w*a = 3 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1313 - -2877. Suppose r + 44 = m. Round r to the nearest 100.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of s**6\/40 + 13*s**5\/60 + 4*s**2 + 8*s. Let a(z) be the first derivative of l(z). Find the third derivative of a(v) wrt v.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/x**(1\/2)))\/x**(1\/3)*x**(-13)*x*x*x**(-3) assuming x is positive.\nAnswer: x**(-83\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*c*m**3*t**2 - 3*c*m**2*t**2 + 41*c*m - 2*c*t**3 + 374*m**3*t**3 + 8*m**2 wrt m.\nAnswer: -18*c*t**2 + 2244*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3\/9 - 19*u**2 + 506*u\/9 - 112\/3.\nAnswer: (u - 168)*(u - 2)*(u - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*q - 19. Let m = 11 - q. Solve 12 = 3*y, -4*h + m*y - 3*y = -32 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -19*h**2. Let i(m) be the second derivative of m**3\/2 - m**2\/2 - 1097*m. Calculate i(b(z)).\nAnswer: -57*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 60, 116, 170, 222?\nAnswer: 272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4930\/65 - (-2)\/13. Let r(m) = 2*m - 10. Let w be r(-10). Let s = q + w. List the prime factors of s.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of -10*l**3\/3 - 6*l**2 + 12*l - 1. Let g(q) = -q**2 - q + 1. Calculate 12*g(a) - y(a).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l + 4 + 4*l - 2*l. Let a be i(0). Let b be 1\/(-1)*(-72)\/2. What is the greatest common factor of a and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 598*f + 1258*f + 2645*f.\nAnswer: 4501*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1527637?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46420 = 25*t - 3*t. What is the thousands digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tbty when four letters picked without replacement from ytjjbjt.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 579 times -0.056\nAnswer: -32.424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + g**3 + 3*g**2 + 3*g**3 - 11*g**3 + 0*g**3 in the form o + r*g + c*g**2 + d*g**3 and give d.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -148, -583, -1314, -2347, -3688, -5343, -7318, -9619?\nAnswer: -12252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/((a*a**(2\/87))\/a))\/a*a**(-4\/17) assuming a is positive.\nAnswer: a**(-382\/1479)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = 4*k - 24, 2*b - 6 = -29*k + 28*k for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, 3, -34382, -27, 26.\nAnswer: -34382, -27, -5, -4, 3, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * 0.09434.\nAnswer: -0.37736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 560*h - 556*h + 15 = 0, 5*h = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 3*u**2 + 22*u + 21. Let n be j(9). What is the tens digit of n\/(-35)*(-80)\/6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 120 divided by 20.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-4)*j)\/j**(1\/2))\/(j**2)**32*(j**(2\/7)*j)**(-11)\/(j\/(j*j\/j**(-7)*j)*j**(-2)\/j) assuming j is positive.\nAnswer: j**(-961\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5)\/((-2)\/((-9 - -1)\/2)). Let n(f) = -10001*f - 2. Let a be n(-2). Let j be 46\/2*a*l. What is j rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - ((0 - 1) + 12)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 + 380025627\nAnswer: 380025626.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 533061989 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 119234691 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 p(b) = -2*b**3 + b**2 + 2*b + 13. Let h(t) = -t**3 + t + 6. Determine 7*h(i) - 3*p(i).\nAnswer: -i**3 - 3*i**2 + i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 791 divide 1404195?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 72 - 42. Let i = f + -57. Let s be 26\/36 + 6\/i. What is the closest to 6 in s, -2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 3 = -2*j. Suppose 0 = -j*q + 4*l - 0*l + 44, -q = l - 3. Suppose -2*m - 2*m + q = 0. Solve -3*w + w = m for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3. Let h(x) = x**3 + 3*x + 27. What is h(k) - m(k)?\nAnswer: 2*k**3 + 3*k + 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 34*p**3 - 4 + p + 6*p**2 - 2 - 9*p - 33*p**3. List the prime factors of c(-6).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 6 = 16. Let c be (v\/24)\/(48\/(-128)). Let j = 1\/81 - 55\/81. What is the nearest to 0.2 in j, -1, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 83352 and 33672.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -5*x**2 + 16*x + 3*x**2 - 28*x + 23*x. Let l(m) = m**2 - 4*m. Suppose -5*q + g + 84 = 9, 5*g = -2*q + 3. Let b = 3 - q. What is b*l(i) - 4*h(i)?\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.8 + -0.7. Let q = r + -0.5. Which is the closest to 1? (a) 2 (b) -6 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -53, 42, 209, 454, 783, 1202?\n\"Answer: o**3 + 30*o**2 - 2*o - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 12:19 AM?\nAnswer: 2:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together 73118 and 0.2.\nAnswer: 73118.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, 5, -5, -31, -79?\nAnswer: -155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 761*d + 1006*d - 306*d + 127750 = -364*d for d.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the third derivative of -w**7\/840 - w**5\/120 - w**4\/12 - 3*w**2. Let m(r) be the second derivative of j(r). Differentiate m(n) with respect to n.\nAnswer: -6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1\/8, 1\/5, 22\/3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-105)\/(-12))\/7*(-6 + -9)\/15.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppvppppp. What is prob of picking 1 v and 3 p?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -45702 + 45458.17. Let m = -204 + 446. Let d = m + p. Round d to zero decimal places.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 132990?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*i**3 - 147335*i**2 + 2138535*i + 1106100 = 0 for i.\nAnswer: -14748, -1\/2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 311, 312, 313?\n\"Answer: z + 310","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 223.7323ms in nanoseconds?\nAnswer: 223732300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**4 + p**4 - 4*p**4)*(p + p + 0*p) + 5*p**3 + 2*p**5 - 5*p**3 - 2*p + 2*p + 6*p**5.\nAnswer: 4*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -10, -66, -188, -400, -726, -1190?\n\"Answer: -4*g**3 - 9*g**2 - g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 77312014*r + 22665079 wrt r?\nAnswer: 77312014","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6411675669?\nAnswer: 3, 7, 197, 1549837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11100010111110100001111 + 100?\nAnswer: -11100010111110100001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 82365 to the nearest integer?\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 0)*(4*x - 5*x + 3*x) + 90*x + 143*x - 60*x + 121*x.\nAnswer: 296*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -2*d**2 - 32*d + 109. Suppose 3*s + 3*x + 42 = 0, -17 - 15 = 3*s + 5*x. Give t(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**6\/(o\/(o**(3\/4)*o)) assuming o is positive.\nAnswer: o**(27\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 853 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1009 + -3 - 11\/((-132)\/(-72))?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3493 is divided by 582.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 47? (a) -4 (b) 8 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3 - 5 + (5 - 2 - 1)*(-5 + 2 + 5))*(-17*s**5 + 6*s**5 - 6*s**5).\nAnswer: -85*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -9. Suppose -19 = -2*j + 5*s, -q*j + 61 = 4*s - 3*s. What is the remainder when j is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, 135, -5, -29, -2, 246 in ascending order.\nAnswer: -29, -5, -2, 4, 5, 135, 246","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 827310?\nAnswer: 2, 3, 5, 11, 23, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 3*w - 15 = 0, 0*w + 5 = -w. Suppose -k + 6 = -d*k + 2*u, -3*u + 9 = -2*k. Solve -2*f - f + 6 = k for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*s - 18*s - 25*s - 21*s**2.\nAnswer: -21*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1140.\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of 37*r**8\/840 + 65*r**4\/12 - 58*r**3\/3 - 55. Let s(n) be the third derivative of y(n). Differentiate s(q) wrt q.\nAnswer: 296*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3190 + -25437\/8. Let n = 1145 + -2341\/2. What is the common denominator of r and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p + 5. Let h be v(0). Suppose z - 3*k + h = 0, 4*z + 0*k + 5 = -3*k. Which is the second smallest value? (a) -0.5 (b) 0.5 (c) 3 (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 2*t = -14, -17 = 4*r - 4*t + 7 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 64\/5 of a decade in years?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.25 rounded to one decimal place?\nAnswer: 18.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 3*h = 1125, 0 = -5*f - h + 1322 + 1533. Is 568 smaller than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 0 - 2*q + 0*q - 3*q + q + (4*q - 3*q - 2*q)*(0 - 4 + 3) + 2*q - q - 3*q - 894*q - 1054*q + 4 + 1662*q to h*q + b and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 0*l + 58 = 40*y, 10577*l = 10582*l - 6*y + 3*y + 61 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (36\/19 - 2) + (-1830)\/(-57). Solve 0 = h*l - 34*l + 10 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -88733, -88736, -88739, -88742, -88745, -88748?\n\"Answer: -3*s - 88730","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.6, 0.1, -0.2, 1, 57 in descending order.\nAnswer: 57, 1, 0.1, -0.2, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 5841*r - 18001. Let a(i) = 13630*i - 42002. Let m(o) = -7*a(o) + 16*y(o). Differentiate m(x) with respect to x.\nAnswer: -1954","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v\/(v*v**(-6\/19)*v)*v**(2\/35)*v*v**(-2)*v\/v**(1\/2) assuming v is positive.\nAnswer: v**(-169\/1330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, -13, 28, -313 in ascending order.\nAnswer: -313, -13, -5, 0, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*u - 508 + 534 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 - 61*b - 753. Let j be l(-17). Let h(a) = -3*a**3 + 2*a**2 + 3*a + 5. Let d(x) = 2*x**3 - x**2 - 2*x - 4. Determine j*d(y) - 4*h(y).\nAnswer: 2*y**3 - 3*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 572 and 472824.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.8, -1.31, 0?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/18 and -61\/9398.\nAnswer: 84582","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 1143*h + 136043. What is t(-119)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 51984512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -5404*t - 5392. Give k(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 PM and 11:02 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 3*i**2 + 14*i + 13. Does 3 divide z(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -31*p**6 + 16*p**5 + 2802*p**2.\nAnswer: -3720*p**3 + 960*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 7038616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -22*n**2*p**2*u + 7*n**2*p - 29*n**2*u - 62*n*p**2*u - 10*n*u + 3*p**2 wrt n.\nAnswer: -44*p**2*u + 14*p - 58*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 + 5*s**2 + 7*s + 5. Let k = 9 + -2. Suppose k = -2*q + 19. What is the remainder when 21 is divided by y(q)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 + 13*u**2 + 11*u - 9. Let h be 4*(39\/12 + 1). Suppose -2*n - 7 - h = 0. Let d be w(n). Solve -10 = -d*q + 5 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 885048748.\nAnswer: 2, 221262187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -123*o**4 + 12*o**3 + 23858*o**2 + 134535969 wrt o.\nAnswer: -492*o**3 + 36*o**2 + 47716*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a1372d + -13?\nAnswer: -a13742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -3*c**3 - 3*c**2. What is z(-2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 53201?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 533658?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7189643?\nAnswer: 43, 61, 2741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a tonne in kilograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 14*d**2 - d - 3. Let v(g) = -g + 18. Let q be v(16). Suppose -q*c - 8 = 2*o, 0 = -5*c + o - 0 - 8. Is m(c) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 193298 + -193297.645649. Let x = -0.3569 + p. Round x to four dps.\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3*10\/(-150))\/(8\/(-20))*(-1)\/8?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 634 + 1307. What are the prime factors of h?\nAnswer: 3, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1730 - 1024. What are the prime factors of p?\nAnswer: 2, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -25 (b) 0.1 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2*i**3 + 16*i**2 - i - 17. Let m be y(-8). Let r be 3 - (-29)\/m - 0\/(-2). Which is the nearest to -0.3? (a) r (b) 1 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14491\/5 equal to -4.39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = m - 12, q = -5*m - 0*q + 8. Let h be (2\/(-6))\/(m\/(-6)). Let z = 25\/7 - 40\/21. Is h < z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -172, -348, -524?\n\"Answer: -176*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3157536.06 minutes to weeks.\nAnswer: 313.247625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 440902 is divided by 6783?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(6\/8) - (-6 + 5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a**(4\/3)*a*a))\/a**20)**12 assuming a is positive.\nAnswer: a**(-268)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -227 - -245. Let z = -68 + 142. Suppose -3*i + 41 + z = 5*b, 0 = 5*b + 2*i - 120. Calculate the remainder when b is divided by t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-93)\/(-63) - 16\/112.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, x: 1, w: 5, s: 4, u: 4}. Give prob of sequence xy.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (5*3\/30)\/((-3)\/3696*-4) is divided by 77?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 858 (base 12) in base 2?\nAnswer: 10011000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 78*w + 81*w + 71, 3*f - 101 = -w. Suppose -d - 750 = -2*q, 5*d = 5*q - 0*d - 1880. What is the highest common factor of q and f?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 4\/3 of a minute?\nAnswer: 80000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -53*z - 11. Let c(r) = 3*r**2. What is c(n(k))?\nAnswer: 8427*k**2 + 3498*k + 363","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*i - 8*i - 260 = 0. Let a(d) = 327*d - 119. Let n be a(i). Round n to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*l - l**2 - 5*l)*(0 - 4 + 2) + (0 - 2*l + 0)*(l + 6*l - 4*l) in the form g*l**2 + o*l + i and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 4*j**2 - 34*j - 9. What is o(9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 224, 226, 228, 230, 232?\n\"Answer: 2*o + 222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -302254928 - 351.\nAnswer: -302255279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wvwvm. What is prob of sequence vwv?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 8\/9 (b) 0.1 (c) 5 (d) 43\/25 (e) -48\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 88094411 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -408, -4 in increasing order.\nAnswer: -408, -7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 422543 = 6*z - 5*x, -4*z + 5*x - 8*x + 281689 = 0. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 12*((-1)\/6 + 244\/(-183)). Sort i, -10, -5 in ascending order.\nAnswer: i, -10, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - 9?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-133*g + 579 - 579)*(-2*g + g + 2*g) as k*g + i*g**2 + o and give i.\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-57)\/3 + -1)\/(-2). Let a be 14\/(-35) - (-124)\/k. Calculate the greatest common divisor of a and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 13\/((-65)\/(-2220)) - 0\/(-1). Suppose 5*f = 2*o + 8*f - 217, 4*f - q = -4*o. List the prime factors of o.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39861861 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of 11*q**4\/6 + 200*q. Let r(s) = 8*s. What is r(b(k))?\nAnswer: 176*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 + 3*z**2 - 11*z + 1. Give h(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 11995, 8, 0, -3, 2, -22 in ascending order.\nAnswer: -22, -3, 0, 2, 8, 11995","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -0.4 (b) -309 (c) -30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91 - 89 + 455 - 12 - 85 - 89 - 86 - 10*u.\nAnswer: -10*u + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15046699*l**2*r**2*t - 14*l*r**2*t - 1498*l*r**2 + 16*l wrt l?\nAnswer: 30093398*r**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 12. Let v be (-8)\/i*18\/24. Which is the nearest to 1? (a) 3 (b) -1\/3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + (1 + -77 - 1 - (-15 + 47 + -17))?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2 - 4*s + 7. Let r be m(-5). Suppose q + 5*y = 25, -4*q + r*y = -8*q + 28. Let l(i) = 7*i**2 - i + 15. Is l(q) a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4679475310?\nAnswer: 2, 5, 61, 139, 229, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 + -2 - -1)\/(-1). Suppose -4*a - z + 40 = l, 3*a + 3*z = -z + 17. Calculate the remainder when 52 is divided by a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 12 = -q. Suppose 45 = 5*n - 2*m, m = n - q - 4. Let l = 11 - 7. What is the remainder when n is divided by l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, 53, 144, 263, 404, 561?\nAnswer: 728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (u**2 + 3*u**2 + u**2)*(-17 - 24 - 71)*(-2*u + 5*u - 7*u + 0*u - u + 0*u + (u + 0 + 0)*(0 - 2 + 1)) to w*u + h*u**3 + d + o*u**2 and give h.\nAnswer: 3360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -14 - 2*i**2 + 14 + 5*i**2. Let j(p) be the first derivative of -p**3\/3 - 4*p**2 + 3790. Give j(v(u)).\nAnswer: -9*u**4 - 24*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + 5 + (40\/(-8) - -2). Let j(o) = o**2 - 2*o - 2. Let y(g) = -g**2 + g + 1. Determine x*y(c) + j(c).\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1222, -4892, -11006, -19564, -30566, -44012?\n\"Answer: -1222*f**2 - 4*f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -174 = 1006*x - 1008*x + 2*v + 8*v, 60 = 3*x - 41*x + 3*v for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.2 from 1708.\nAnswer: 1707.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -159, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 7}. What is prob of sequence tt?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4 + 1 + 956\/80 - 4 and -67\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 29106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -22*n**3 - n. Let x(m) = 22*m**3 + m. Determine 4*s(d) + 3*x(d).\nAnswer: -22*d**3 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j + 5, 7*b - 4*b + 5*j + 20 = 0. Let f = b + 2. Let r be 5*((-4)\/(-5) + 0). Sort 1, r, f in descending order.\nAnswer: r, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 8:50 AM?\nAnswer: 2:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -115 - 20?\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 5*o + 2. Let t(i) = 11*i + 4. Let z(l) = 13*j(l) - 6*t(l). Let f be -1*(-3 - -1 - 2). Determine z(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -15*d**3 - 5*d**2 + 23*d + 5. Let m(h) = -22*h**3 - 7*h**2 + 34*h + 7. Give 7*c(k) - 5*m(k).\nAnswer: 5*k**3 - 9*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41983 = -75*m + 44130 - 89188 for m.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < -2\/5824549?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) 5 (c) -5 (d) -53 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 56 + -52. Solve n*h - 4 = 4 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12135 + -8067. Suppose 12*h = -1128 + z. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5)\/(3*(-25)\/30). Suppose h*u = -3*u + 8800. Round u to the nearest 100.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -j - 140. Suppose x + z = -z + 75, -z + j = x. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -1, 6, -0.4, -193\/7, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 p when three letters picked without replacement from {j: 1, k: 1, g: 4, p: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(171) - sqrt(171)*1) + sqrt(171) - sqrt(171))\/(sqrt(441)*2) + -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 26*a**3 - 65*a**3 - 1 - 2 + 2*a.\nAnswer: -39*a**3 + 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 + 10*c + 1. Let o be m(7). Suppose -o*f + 27*f = 10. Suppose -5*b + 12 = -3*b. Solve -f*d - d = b for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 36 - 7. Suppose -3*p - 4*d + z = 0, 13 - 55 = -2*p + 3*d. List the prime factors of p.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(2448))**2 - (-1 + sqrt(17) + (sqrt(68)\/sqrt(4))**2).\nAnswer: -25*sqrt(17) + 2433","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -126*t**3 + 2120*t**3 + 1833*t**3.\nAnswer: 3827*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 6373*l + 419. Is u(8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/20873419 and -53\/17891502.\nAnswer: 125240514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 - 20. Find the common denominator of j*(-2)\/(48\/38) and 12\/(-20) + ((-37895)\/450)\/(-11).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c - 15 + 5. Let w = -430 - -430. Put 3, w, c in increasing order.\nAnswer: c, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -7*k. Let b(c) = 5*c**2 - 2*c + 1. Let v(x) = 34*x**2 - 6*x + 3. Let i(u) = 3*b(u) - v(u). Give g(i(j)).\nAnswer: 133*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f. Let h(b) = -4 + 4 + 62*b - 60*b. Give n(h(c)).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -26 in -155, -0.063, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 2*c = 3522. Let q = 2549 - c. Suppose 3*a = -s + 878, 4*a + 206 - q = -3*s. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3\/25 + 2\/25. What is the second biggest value in -13, -1, t?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -26 - 30 + 100 - 30 + 1136*u**3 with respect to u.\nAnswer: 3408*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x\/(x*x**(-4))*x))**5*(x*x*x*x*x*x\/((x\/x**(-1\/4))\/x*x)*x*x)**(-5))**(-23))**(16\/9) assuming x is positive.\nAnswer: x**(19780\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 1 = i - 5*q, -2*i + 5*q = 9. Let m be (i - (-76)\/18) + -2. Let p be (-33)\/7 + 2\/(-7). Which is the biggest value? (a) p (b) 5 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1617927607+19282\nAnswer: -1617908325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**2 + 4*x**2 - 4*x**2 + (-4*x + 3*x + 3*x)*(0*x + 4*x - x))*(-3*x**2 - x + x).\nAnswer: -21*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5 + 11 + -1)*(-4)\/(-5). Suppose 3*g = i + 20 + 31, -17 = -g - h*i. What is the remainder when 151 is divided by g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 4*j = 0. Suppose 3*y = 3 + 3. Solve 2*t - y + 0 = j for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8.83 + 9.63. Which is the nearest to -0.4? (a) i (b) 3\/7 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + -2. Let g = -0.26 + 0.06. Let y = 144 - 146. Which is the nearest to y? (a) 1\/9 (b) j (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 AM and 11:15 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4010?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -5 + (6 - 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 5 (b) 0.3 (c) -46 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, b: 5, s: 2, e: 1, d: 3}. Give prob of sequence ssw.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*g - 5 = 23 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33 + (-7 + (4 - 2) + -5 - (-54 + 38)).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3996, 3988, 3976, 3960, 3940, 3916, 3888?\nAnswer: 3856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 77 = -5*l + 10, -5*l + i = -71. Suppose -2*j = 3*j - l. Solve -j = 3*r + 3 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 PM and 9:04 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-226)\/2486)\/((-3)\/(-66)*-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 3*h**3 - 15*h**2 + 9*h - 9. What is the hundreds digit of f(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -i, -6*i + 4*i = -2*f + 78. Suppose 2*d + 8 = k - 0*k, f = 4*k - 5*d. What is the lowest common multiple of k and 30?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -5*a + 38 + 60, -3*t = 5*a - 94. Suppose -4*s = -4*w + a, 8 + 1 = 3*w + 3*s. Let b = 18 + -4. What is the remainder when b is divided by w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3578230 rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -12944, -25885, -38820, -51749, -64672, -77589?\n\"Answer: 3*g**2 - 12950*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**3\/9 + 513104*g**2\/3 + 38481550*g\/9.\nAnswer: 2*g*(g + 25)*(g + 769631)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 14) to base 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, d: 2, j: 6, s: 1}. Give prob of sequence mdjj.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 5*k + 5*h = 93, 0 = -2*k - 2*h - 46. Let g = -17 - k. Let c = -985 + 993. What is the lowest common multiple of g and c?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -53 - -51. Put m, 0, -4 in decreasing order.\nAnswer: 0, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10)\/120*8\/(-3). Sort 2\/19, i, -0.1 in increasing order.\nAnswer: -0.1, 2\/19, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -3*h + h**3 - 6*h**2 - 8*h**3 + 4*h**2 - h**2. What are the prime factors of k(-2)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000217279 to 6 dps.\nAnswer: 0.000217","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -4*v**2 - 3*v. Let m = 17 - 10. Let n(c) = c**3 - 7*c**2 - c + 9. Let p be n(m). Suppose 2*j - j = -p. Give i(j).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4251151 (base 7) in base 16?\nAnswer: -7e223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 10*b - 16*b**3 - 236 + 8*b**2 + 2*b**2 + 226. Let i(s) = -5*s**3 + 3*s**2 + 3*s - 3. Determine 3*c(k) - 10*i(k).\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 88 + 32. Suppose 708 = -3*h + 999. What is the remainder when h is divided by d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126e2 (base 15) in base 6?\nAnswer: 1132505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 60601152?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -0*a. Let n = -69.9985 - 0.0015. Let h = n - -75. What is the smallest value in 0.1, h, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1063891617?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33230 is divided by 1352.\nAnswer: 782","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/2418 and 85\/39494.\nAnswer: 118482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -2*q + 11 + 1, 3*m - 20 = -2*q. Suppose -560 = -t - q*t. What are the prime factors of t?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 63 - 5?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 58 + -44. Find the second derivative of -431*h + i*h**3 + 5*h**3 + 425*h wrt h.\nAnswer: 114*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -106156490 by 4825295.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -8162757, -8162735, -8162711, -8162685, -8162657, -8162627, -8162595?\n\"Answer: v**2 + 19*v - 8162777","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, -2, -6, 5, 3 in descending order.\nAnswer: 5, 3, -2, -3, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.0591, 1\/3, 1\/2, -2, 2\/11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2796\/5 (b) -8.2 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 230 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -27\/2*d - 28*d**2 - 5\/3 - 8\/3*d**3 = 0.\nAnswer: -10, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 3:06 AM?\nAnswer: 3:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:08 AM and 1:15 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -2*d - 4*p - 14, -4*d = -p + 5 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 + 112*t**2 + 13267*t + 285. Give x(-72).\nAnswer: -1083","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*g - 3*g - 20 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 32186 and 168?\nAnswer: 386232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7 + 484701?\nAnswer: 4846d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 12 = -2*c. Let v(j) = -5 + j + 6*j - 3*j. Let s be v(c). Solve 2*i - 5*b = s, 0*i - 2*b - 4 = -i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(7\/2)\/b**(-6))\/(b**(-1\/5)*b)**(-1\/8) assuming b is positive.\nAnswer: b**(48\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -5*b - 36. Let d be b*(1 + -2 - 1). Suppose -14*j = -d*j + 38. Calculate the remainder when 24 is divided by j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (14 + 90)\/(2*(1 - 0)).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2877001651 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 298011 and 21?\nAnswer: 298011","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -39392832\nAnswer: 5\/39392832","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - r + 106 = 0, -l = l - 2*r - 232. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -12*w**2 - 7*w. Let p(x) = 2*x + 34. Give p(u(q)).\nAnswer: -24*q**2 - 14*q + 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, w: 2, t: 1, l: 4, r: 2, f: 2}. Give prob of sequence fwtf.\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/20 and 151\/21855890.\nAnswer: 43711780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -14575 * -3\nAnswer: 43725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3541 + -2005. Calculate the remainder when i is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -53, 0, 2, -0.5, 1552?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2395093 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1285 - 1253 = -8*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 4*f**2 + 5*f + 5. Let i be y(-1). What is the closest to -1 in i, -2\/3, -0.04?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -3.9. What is the nearest to g in 0.07, 1\/3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.18 and 0.91028024.\nAnswer: 0.73028024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 8*j**2 - 4. Let p be 12\/9 - (-1)\/(-3). Let c(f) = -f**3 + 4 - 5 + 0. Let w(v) = p*l(v) - 4*c(v). What is the third derivative of w(a) wrt a?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 21, 5\/2, -7.7, -3\/4?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11683326*v**2 - 12824367*v.\nAnswer: -23366652","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10 + 13 - 1)*(2*w - 5*w + 2*w)*(-3 + 4 - 3)*(-5 + 2 + 1) to the form x*w + h and give x.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 60570813883 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 5*k + 3 = -3*f, -2*f - 2*k = -10. Calculate the remainder when f is divided by ((-6)\/(4\/(-2)))\/1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 16.1 (b) -2.8 (c) 0.157\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 5*k + 2 + 1, -2*o - 6 = -5*k. Let r be -3 - (k + -1) - -1. Let a(j) = -63*j**3 + 2*j + 1. Is a(r) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 853 - 5959\/7. Factor -12\/7*n + j - 3\/7*n**2 + 3\/7*n**3.\nAnswer: 3*(n - 2)*(n - 1)*(n + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -93 + 97.8. Let f = -1.2 + 1. Let v = f - w. Which is the nearest to 0? (a) v (b) -0.5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23 - -26. What is the third smallest value in -1, p, -11?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4554126 to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -16*g**4 + 4. Let j(d) = -15*d**4 + 4. Let l(w) = -6*j(w) + 5*x(w). Differentiate l(y) with respect to y.\nAnswer: 40*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 - 9.07. Let s = 0.1 + n. Let t = 0.43 - s. What is the second biggest value in -4, -0.4, t?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 129*f**3*h - 5*f**3 + f*h - 5367*h - 2 wrt f.\nAnswer: 387*f**2*h - 15*f**2 + h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -44*n**3\/5 + 3625598*n**2\/5 + 32960*n.\nAnswer: -2*n*(n - 82400)*(22*n + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 97\/(-15) - 45\/(-27) - (-2 + -4).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 5:31 PM?\nAnswer: 4:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1851 (base 13) in base 8?\nAnswer: -7037","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 57915 and 122310.\nAnswer: 17490330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 377\/15 + -49\/5. Find the common denominator of ((-22)\/(-4))\/((-20)\/(-8)) and v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**1)**(-8)*((n*n**2*n)\/n)\/(n*n\/n**(3\/4))*((n\/(n**(-3)\/n))\/n**4)\/(n**(-8)\/n**6) assuming n is positive.\nAnswer: n**(35\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(171) - ((sqrt(171) + (-1*sqrt(171) - sqrt(171)) - sqrt(171)) + sqrt(171)))*4 - sqrt(171)*1*6)\/(1*sqrt(900) + sqrt(54)\/sqrt(6)*3))**2.\nAnswer: 76\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -376.6519 rounded to one dp?\nAnswer: -376.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 1:42 AM?\nAnswer: 9:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/(-24) + (-79)\/(-3). Let v be (-11 - -14) + 1 + t. Let b be (v\/8)\/(3\/(-2360)). What is b rounded to the nearest one hundred?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17343 + -9032. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h**2 + 13*h. Let b be ((-24)\/28)\/((-4)\/28). Let n be r(b). Suppose n + 0 = 3*a. Calculate the least common multiple of a and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhh when three letters picked without replacement from ggghgghgggghgh?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.15443611 rounded to four decimal places?\nAnswer: 0.1544","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 9, -1\/3, 5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + -52719?\nAnswer: -52715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*y + 3*y**3 - 4*y + 24.\nAnswer: 3*y**3 + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2061 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 7, t: 7}. What is prob of picking 3 s and 1 t?\nAnswer: 35\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23.88 + 24.08. Which is the closest to r? (a) -4\/3 (b) -2\/5 (c) -2 (d) -2\/33\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(198) - -1*sqrt(198))\/sqrt(9))\/sqrt(11) + (-2 + sqrt(2)*-1 + sqrt(242)*-2)*-3.\nAnswer: 6 + 71*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18.2 + -18.198915. Round y to four decimal places.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fwwrr. What is prob of sequence wrw?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 11, 0, 5, -252 in descending order.\nAnswer: 11, 5, 0, -4, -252","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17451 and 8685?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4718 + -2271. Suppose 0 = -3*m - x + 2240, 2*m + 3*x = p - 942. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*h - 0. Suppose 0 = -y - 4*r, -y + 10 - 3 = -h*r. Suppose 0 = 3*a - 4*a - y*m + 2, -2*a + m + 4 = 0. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 53 - 26. Let z = -27 + u. Suppose -2*y + 173 = -5*r, z = -2*r + r - 4*y - 17. Calculate the common denominator of 19\/5 and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 527\/132 - 31\/22. Calculate the common denominator of 53\/42 and z.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8094.29 to the nearest 100.\nAnswer: 8100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-12)\/18)\/(3\/45). Let a(j) = 17 - 18*j - 2*j - 13*j. Is a(d) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b + 2. Let l be g(-6). Let t = 6 + l. Suppose -2*k + 8 = -t. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 335688001.\nAnswer: 11, 17, 163193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/u**(-8))*u)**14\/((u*u**1*u)\/u*u**(2\/9)) assuming u is positive.\nAnswer: u**(-902\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence im when two letters picked without replacement from iuiuuiummsuaaummam.\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 35254 and 838.\nAnswer: 29542852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102 - 1010102011012?\nAnswer: -1010102011121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -5771, -23061, -51863, -92165, -143955, -207221, -281951, -368133?\n\"Answer: 2*x**3 - 5768*x**2 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -18008 divided by -304?\nAnswer: 2251\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + 5. What is the lowest common multiple of u and 63\/(-3)*1\/(-1)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-52)\/(-78)*(-33)\/2?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 5*j + 11 = 97, -4*d = j - 130. Solve 0 = 5*g - 4*t + d, -6 - 9 = -5*t for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the second derivative of -t**4\/12 + t**3\/3 + 2*t**2 + t. Determine k(-3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7209 is divided by 7073.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1384 > -1384?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 - 14*i - 29. Let t be z(-3). Let r(n) = 336*n - 78. What is the thousands digit of r(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/8)\/((135\/(-320))\/(30\/40))?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 AM and 5:33 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78560415 is divided by 403?\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 2*d + 13, -4*g + 0*d = d - 34. Suppose 27*p - 34*p - 74 = 17, 3*j - 3*p = 48. Solve -j = -z - 4*r + g*r, -4*r + 4 = -4*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -107, -2\/11, -12.3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-20) - (860\/(-50) - -17)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 13\/10 - (-10 - 126\/(-12)) - -3. What is the second biggest value in -3, v, -0.5, 10\/13?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2463 and 280425.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13132.\nAnswer: 2, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*f + 48 = 44*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2848 - -2827.0025. Let g = k - -21. What is g rounded to 3 dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the third derivative of -41*t**6\/45 - 122*t**3\/3 + 238*t**2. Let s(d) be the first derivative of f(d). Let i(u) = -2*u. What is s(i(k))?\nAnswer: -1312*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ovioi. Give prob of picking 3 i.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11135 by -5.\nAnswer: 2227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (192 + -1)*(-62 - -92). Which is bigger: 5728 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -11, 4, -4, 126765 in descending order.\nAnswer: 126765, 4, -3, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 13.1 times 10\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 2*k**2 - 60*k - 235. What is the tens digit of q(-39)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.03 - -0.039. Let o = m + -3.309. Let d = o + 3. Round d to 1 decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 + 15*b**2 - 2*b + 35. Let o be h(15). Factor 49\/3*y**o + 0 - y**3 + 70\/3*y**4 - 20\/3*y**2 + 4\/3*y.\nAnswer: y*(y + 1)**2*(7*y - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -13\/5. Which is smaller: 2 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 0.2, -146, -1\/46, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of -v**2 + 8*v + 3. What is the units digit of l(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, t: 4, g: 11}. What is prob of sequence zgzz?\nAnswer: 11\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 PM and 11:25 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 73498*h + 53 - 109 + 80. Let g be r(12). What is g rounded to the nearest 10000?\nAnswer: 880000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 141721?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 720 divided by -80\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*c + 1 = -54*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 6540 (base 7) to base 16\nAnswer: 91b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**3 - 3*j**3 + j**3)*(32*j + 14*j - 2*j).\nAnswer: -88*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 585*w - 346. Give c(1).\nAnswer: 239","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 2*t. Let d(q) = -q + 16. What is the units digit of d(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2172595 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 20*m - 16. What is x(2)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.5 (b) 0.3 (c) -612 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - r - 475, 0 = -18*f + 21*f + r - 351. Let i = -70 + 101. Suppose -i = v - f. What are the prime factors of v?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.014, 430959, -5?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*s - s - 5*t + 76, 3*t = 5*s - 408. Does 9 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25453 + 25456. What is the smallest value in b, -8, -2, -2\/7?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 866067 is divided by 20619.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -197223\/16 + 12322. What is the common denominator of 85\/144 and g?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -618583, -618577, -618571, -618565, -618559, -618553?\nAnswer: -618547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 4*i + 220 = s, -4*i + 328 = 3*s. Is s a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express m**3 - m**3 + m**3 + 2 - 50*m - 42*m in the form g*m + u + c*m**3 + h*m**2 and give g.\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1898399 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3429*d + 57806 + 44436 = -7211 + 3154 for d.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 9*z + z**2 + 1 + 0*z**2 + 2. Let b be p(-9). Find the third derivative of 3*t**2 + 3*t**b - 10 + 10 - 12*t**2 wrt t.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of p**6\/390 - p**5\/390 - p**4\/12 - 2*p**3\/13 + 3*p**2 + 4*p - 54. Let t(s) be the second derivative of b(s). Factor t(n).\nAnswer: 2*(n - 3)*(n + 2)*(2*n + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*i + 26*i - 20 = 0. Suppose i = -u + 11. Calculate the greatest common divisor of u and 126.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002627081 rounded to 5 decimal places?\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of -u**7\/7 - 5*u**4\/12 + 11*u. What is the third derivative of a(c) wrt c?\nAnswer: -360*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 27*o + 103. What is g(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15176, -6\/11, -35 in ascending order.\nAnswer: -15176, -35, -6\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-5)\/(r*r*r*r**(-3\/20)\/r))\/(r**(-3\/5))**(-12) assuming r is positive.\nAnswer: r**(-281\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.9 - 1.8. Let q be (-1)\/(-4) + (-350)\/(-40). Let n be (3\/q)\/((-16)\/192). Which is the closest to -0.3? (a) n (b) 2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 198 + -178. Let l(v) = -v**3 + 21*v**2 - 21*v + 23. Let g be l(q). Solve 0*t + g*t = -6 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 8 = -2*k + y, 0 = -4*k - y + 22. Suppose -2*n = 5*m - 1127, -3*m - 4*n = -k*m + 446. What is the remainder when m is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 + 9*f**2 + 5. Let o be n(-9). Let t = 7 - o. Find the third derivative of 30*s**3 - 13*s**3 - 9*s**3 - 5*s**3 - 18*s**t wrt s.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13878, -13879, -13880, -13881?\nAnswer: -13882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/4*(-3 - -27). Let r be v\/48 + 38\/8. Sort r, -42, 1.\nAnswer: -42, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9187, -25466, -52611, -90628, -139523, -199302, -269971?\nAnswer: -351536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1139023 + 4?\nAnswer: -113901d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 11 - 97. Let r(f) = 3*f**3 - 2*f**2 - 2. Let u(i) = -39*i**3 + 27*i**2 + 27. Determine b*r(t) + 2*u(t).\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-7) + 90705\/21. Suppose -w - 2281 = 5*l. Round l to the nearest 100.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 PM and 3:55 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + -0.5. Let v = c + 0.5. Suppose -5 = d - 2, 27 = 3*p - 5*d. Put p, -3, v in increasing order.\nAnswer: -3, v, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6253318 is divided by 3539?\nAnswer: 3444","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -8 - -0.096\nAnswer: -7.904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -207, -201, -191, -177, -159, -137, -111?\n\"Answer: 2*f**2 - 209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1316 (base 8) to base 12\nAnswer: -4ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 981, 3168, 6813, 11916?\nAnswer: 18477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -1 + -1 + (-5 - 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 - 5. Solve 5*q = -3*c - 11, -4*c + 23 = -3*c - o*q for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -26424 at most -30048?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 765903484 to the nearest integer?\nAnswer: 27675","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 - -18. Let a be 8\/7 + x\/(-7). Let j = a + 2. Solve j*z - z - u = -7, 3 = 2*z + u for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 1 = 13, -i = -4*k - 22. Let f(m) = 6 - i + 4*m**2. Let n(p) = 23*p - 66*p + 30*p + 19*p. Determine n(f(d)).\nAnswer: 24*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.6, -11, -60 in descending order.\nAnswer: -0.6, -11, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -3*y**2 + 4. Let l be (((-41)\/2)\/(-41))\/(2\/(-28)). Let f(p) = 7*p**2 - 7. Determine l*q(a) - 4*f(a).\nAnswer: -7*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1d + -37?\nAnswer: -1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.341 + 2.75. Let i = g + -1.709. Which is the smallest value? (a) i (b) 0.3 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1696962.6 rounded to the nearest 1000?\nAnswer: -1697000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 850727 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -37 + 42. Which is the second biggest value? (a) 7\/4 (b) 2\/13 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8151 is divided by 1089.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 277600 rounded to the nearest ten thousand?\nAnswer: 280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 13*r = 38*r. Factor 4\/21*k**3 + 2\/21*k**4 + 0*k + 0 + r*k**2.\nAnswer: 2*k**3*(k + 2)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3067*s + 3065*s + 37 = 5*j, -176*s + 1924 = -4*j for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5\/4 (b) 4 (c) -140\/29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7038484l in millilitres?\nAnswer: 703.8484","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 678*-1.\nAnswer: -678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5065147 to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 61 + -34. Let t be (3 + -2 + -4)\/(15\/(-45)). Calculate the greatest common factor of i and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 6*t - 7*t. What is the remainder when (304\/4 + t)\/1 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66*m**3 + 73*m**3 + 50*m**2 - 67*m**2.\nAnswer: 7*m**3 - 17*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 20465\/(-105) + (-10)\/105. Let r = -87 - g. What is the remainder when r is divided by 28?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 7282\nAnswer: -29128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 PM and 10:19 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.2704 + -0.0296. Let l = -29 - -26.7. Let a = -2.1 - l. Sort a, 0.5, h.\nAnswer: h, a, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*n + 23 - 10*n - 23.\nAnswer: -17*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 260 + 1268*g - 260 - 772*g + 5093*g.\nAnswer: 5589*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58*6.\nAnswer: 348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3420, -6812, -10208, -13608, -17012, -20420?\n\"Answer: -2*c**2 - 3386*c - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6485287.\nAnswer: 23, 457, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -70.98 rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q - 24 = 2*n, -1255*q = -1257*q + 2*n for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -7*c - 15. Let g(q) = 3*q**2 + 9*q. Let i(w) = 2*w**2 + 4*w. Let u(b) = c*g(b) + 9*i(b). Determine a, given that u(a) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 263080181451 take away -0.07?\nAnswer: 263080181451.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2 - 4*h - 3. Let n be b(-4). Let a = -544 + 541. Let d be a - (n + 0 + -56). What is the greatest common factor of d and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14 and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 + -24. Let r = s + 47. Is 4 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23514 (base 6) to base 13.\nAnswer: 173b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 174721 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 11:31 PM?\nAnswer: 9:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.2 smaller than -7.3744?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = 4*p - 2*r + 2, 5*p - r - 5 = 0. Let v be 0\/(-4) + 0 + (-8)\/p. Sort -5, -32, 2, v in increasing order.\nAnswer: -32, -5, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 543.7242 centuries?\nAnswer: 54.37242","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -4\/9, 57\/8, -24?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 460.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 0*k = -10192. Suppose -n - 2*l = 3*n - k, 5*l - 1918 = -3*n. Is (-2)\/(-9) - n\/(-54) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.95866248 to 2 decimal places.\nAnswer: -4.96","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 517388609?\nAnswer: 517388609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/382 and -67\/20.\nAnswer: 3820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -838027956 divided by 6.\nAnswer: -139671326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.54404588 rounded to 2 dps?\nAnswer: -0.54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - -8. Suppose 6 = -0*y + 2*y. Calculate the least common multiple of w and 4\/(-5)*(y + -8).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -51504 divided by 4\nAnswer: -12876","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -281, -617, -1203, -2165, -3629, -5721?\n\"Answer: -21*r**3 + r**2 - 192*r - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -232*j + 1412. Let o(r) = 155*r - 941. Let w(p) = 5*k(p) + 8*o(p). Differentiate w(a) with respect to a.\nAnswer: 80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - -121114040120?\nAnswer: 121114040111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -19\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 194481 and 162?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.027902141167 to 5 dps.\nAnswer: 0.0279","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 338128.1 days in hours?\nAnswer: 8115074.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 8:04 AM?\nAnswer: 7:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -2*j + 21. Let n(a) = 9*a**2 - j + 6*a + 11 + 4*a**2 - 12*a**2. Calculate n(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n = 196 + -200. Put -1, n, 0, 4 in decreasing order.\nAnswer: 4, 0, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 4*v - 62. Calculate j(13).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*z**2 + z**2 + 0*z**2)*(-z**2 + 4 - 4)*(22 - 30 - 12).\nAnswer: -80*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 16*w**2 - 46*w + 29. List the prime factors of d(10).\nAnswer: 7, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10155*w**2 - 13473*w**2 - 6467*w**2 + 2118*w**2 + 2*w**2 - 5 + 5 + (-5*w**2 + 5*w**2 - w**2)*(-1 + 2 - 2) + w**2 - 4*w**2 + w**2.\nAnswer: -27976*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1d0eae + -5?\nAnswer: -1d0eb3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 - 4*j**2 - 10*j - 18. Let s be v(-3). Sort 194, -1, s.\nAnswer: -1, s, 194","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2222 and 64730193?\nAnswer: 1111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-2)*p)**(-21)\/((p**(1\/4)*p*p*p)\/p)**(-2\/53))**(-1\/49) assuming p is positive.\nAnswer: p**(-9\/5194)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 448704, 1794853, 4038434, 7179447, 11217892, 16153769?\n\"Answer: 448716*b**2 + b - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 5)*(0 - 3 + 2 - 4*i) - 3*i - 2*i + 3*i.\nAnswer: -10*i - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - s - 772 = -5*s, s + 1279 = 5*g. Suppose y + t = -176, t - 714 = -29*y + 33*y. Let o = y + g. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ie when two letters picked without replacement from leittlll?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19.9 - -132.9. Let g = l - 113.000094. Round g to 5 decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(68)*1 - sqrt(68)) - sqrt(68)) + sqrt(68))\/(sqrt(20)\/(sqrt(80) + sqrt(5))) + (sqrt(204) - 3*2*sqrt(204))\/(sqrt(12) + sqrt(48)\/sqrt(4)*-2).\nAnswer: 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1118820391.\nAnswer: 13, 1049, 6311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.03 + 0.13. Suppose -3*h - 14 = -4*o, 2*h + 8 = -0*h + 2*o. Let l = -651 + 16273\/25. What is the second biggest value in l, z, h?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327842 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + f = 525, -4*k + 3*f + 286 = -427. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3209 - 1241. Is q a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 6, 4*l + 3111 = z - 2729. What are the prime factors of z?\nAnswer: 2, 7, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 6:03 AM?\nAnswer: 5:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 to the power of 1\/2, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14778*h**3 - 42683*h**3 + 14773*h**3 + 13131*h**3.\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n**3 - n**2 - n + 1. Let c(t) = 15*t**3 + 182*t**2 + 2*t - 2. Let f(b) = c(b) + 2*v(b). Find the third derivative of f(i) wrt i.\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/231, 7, 0.3, 2, -3\/10?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 967 = -5*j - 32033. Round j to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 992 and 6144.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 3*y**3 + 5*y**2 + 7*y - 59. Let t(h) = h**3 + 2*h**2 + 3*h - 29. Determine 3*j(u) - 7*t(u).\nAnswer: 2*u**3 + u**2 + 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*(-28)\/42*(-1)\/(-2). Let v = -12.7 + 13. Let n = v + -0.2. Which is the closest to -1? (a) -4 (b) n (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**2 + 84270*l - 84273.\nAnswer: 3*(l - 1)*(l + 28091)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -20.7*-0.053\nAnswer: 1.0971","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 + 160. Let j be l(0). Let o = j - 101. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 6546700090 and -2.1.\nAnswer: 6546700087.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/(-1) + 2\/(-2). Let t = 0 - 1. Let y be t\/(-4)*(17 + -13). Sort y, -3, v.\nAnswer: -3, v, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74351071 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1427360*l + 1427338*l + 286 = 0 for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/35, 5, 0.4, 29, -1?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 148 = -21*d - 25*d + 9*d. Let a(p) = p**2 + 8*p + 6. Determine a(d).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + t - 87. Let j = 42 - t. Suppose -m + 16 + j = 0. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 - i**2 - 2*i + 23. Let o be d(0). Suppose -3*g + 4 = -f + o, -4*g - 108 = -4*f. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -2) + 4 + -8.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -121, 8, 3, -5, 1, 5 in descending order.\nAnswer: 8, 5, 3, 1, -5, -121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*k**3 + k**3 + 6*k**3 + (4 - 4 - 2*k**2)*(k + 4*k - 3*k).\nAnswer: 12*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26.3 - 26.4. What is the nearest to d in -2\/11, 1, -8\/5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 5*z**2 - 13880*z + 9632720 = 0.\nAnswer: 1388","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 4385*w. Let u(v) = 70*v**2 + 17*v. Give i(u(o)).\nAnswer: 306950*o**2 + 74545*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -28*n**4 - 4*n**2 + 29*n + 4. Let c(v) = 27*v**4 + 3*v**2 - 29*v - 3. Let o(k) = 4*c(k) + 3*h(k). What is the second derivative of o(t) wrt t?\nAnswer: 288*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/376893 and 53\/3894561.\nAnswer: 11683683","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(99) - -1*sqrt(99)))\/(sqrt(1125)\/sqrt(5) - sqrt(9)) + ((4*sqrt(110)*-1)\/(sqrt(40)\/sqrt(4)*1))**2.\nAnswer: sqrt(11) + 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -28, 7, 108, 275, 508?\n\"Answer: 33*j**2 - 64*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 1 + -3 + (-6 - -4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, 46, -66, 321, 3 in descending order.\nAnswer: 321, 46, 3, 0, -2, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 0, 1, 2, 4, 5 in decreasing order.\nAnswer: 12, 5, 4, 2, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109 + 7 + 12*i + 98 + 4.\nAnswer: 12*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 8*z**2 - 2*z - 2. Suppose -5*i + 10 = -j - j, 0 = 4*i - 3*j - 8. What is the tens digit of m(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7*4\/(-12) - -1. Let a = 112 - 103.8. Let s = a - 8.6. What is the third biggest value in -1.1, s, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -99057*j + 114586 with respect to j.\nAnswer: -99057","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from joxjcoqhc. What is prob of sequence ojch?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -3*z**2 + 3*z - 1. Suppose -7 = -w - 2*t, 0*w = 3*w - 2*t - 5. Let y(m) = 3*m**2 - 3*m + 2. Let k(v) = w*o(v) + 2*y(v). Calculate k(3).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121495465 a multiple of 120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, -0.4, 4\/5, 5 in decreasing order.\nAnswer: 5, 4\/5, 2\/7, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 503 + 259. What are the prime factors of f?\nAnswer: 2, 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1782194647?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -119, -117, -115, -113, -111, -109?\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (4 + (5*(1*sqrt(170) - sqrt(170)) - (sqrt(170) - 4*sqrt(170)*2))\/(5*6*sqrt(40)*-1))**2.\nAnswer: -14*sqrt(17)\/15 + 40433\/3600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 294, -0.3, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 + 4*f**2 - 8*f + 17. What is b(-7)?\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 9a21b4 (base 12) to base 5\nAnswer: 1111404314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 5*v - 26, -7*a + 2*a = -5. Solve u + 1 - 10 = -4*j, 3*j - v = -u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -7 (b) 1\/3 (c) -0.4778 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -100*r - 41. What is the tens digit of v(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, w: 1, t: 4, i: 1, q: 6, j: 3}. What is prob of picking 1 t, 2 e, and 1 w?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 31 and -1 - 0 - (-3 + -2 + 0).\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 181232.9 to the nearest 100.\nAnswer: 181200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/2690 and -101\/16140.\nAnswer: 16140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -39240 equal to -39235?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -3192*k**2. Let g(z) = 2*z**2. What is c(g(t))?\nAnswer: -12768*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 103 - -20046?\nAnswer: 20152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49733 is divided by 17.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88 is divided by 67?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 6*a - 4 + 1 - 8*a.\nAnswer: -14*a - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 6492019.2 to the nearest 100000.\nAnswer: 6500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*n + 8*n + 6*n - 7*n.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 704786 + -440601. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 98\/(-90) - (-3)\/(-27). What is the nearest to 0 in -4, -1, q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41854.1 + 14601.\nAnswer: -27253.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23490?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*d - 4*d**4 + 7*d**4 - 2*d**4 - 2*d**2 as o + t*d**4 + r*d + k*d**2 + x*d**3 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24 - 10) + 0 + 3 + -3.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 492?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 - h**2 + h + 15. Let p be l(0). Let v be (3\/15)\/(9\/p). Which is smaller: v or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 258\/((-276)\/644*-7).\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 228132 is divided by 168?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.6 + -1. Let x = -6 - -6.2. Which is greater: x or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, 83, -31, -34, -4 in descending order.\nAnswer: 83, 3, 1, -4, -31, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -u, o - 5*u = -4*o - 10. Let w = -12 - 18. Calculate the common denominator of -19\/5 and 189\/w - (o + 1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7.94 - -7.54. Which is the nearest to 0.2? (a) 2 (b) 199 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/117)\/(9*1 + 1320\/(-144))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/10 + 615\/(-75). Let w be (-5 + 1 + (0 - j))\/(-1). Put w, -11, 3 in decreasing order.\nAnswer: 3, w, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*c + 0*c + 5*c**2)*((-3 + 2 + 5)*(c - 4*c + c) + (3 - 4 - 2)*(4*c - 4*c + 2*c)) to the form z*c**3 + u*c**2 + v*c + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v - 1. Let c(b) = -13*b - 4. Let d = 11632 + -11633. Determine d*c(m) + 4*x(m).\nAnswer: 9*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2*8 + (-1 - -4). Let v(p) = 124*p + 1799. Let b be v(-7). What is the highest common divisor of j and b?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 33*o + 1029. What is w(-31)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2051 - -2789. What is the hundreds digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -16\/855 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 + -8. Suppose 5*u - 3*v - 9 = 0, -3*v = -4*u + v + t. Suppose 5*h - 16 = -a, h = -0*a + u*a. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -17418.\nAnswer: 2\/8709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4*(-3)\/72 - (-1)\/(-6). Suppose b + 0*b + 3*f - 92 = i, -3*b + 262 = -5*f. What is the remainder when b is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 35986?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(425) - -1*sqrt(425)) + -4.\nAnswer: -4 + 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5139985 is divided by 2569987?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -121 times -908557?\nAnswer: 109935397","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 2 + (4 - (3 + 6))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/12 - (-3)\/(-4). Let s(g) = 0*g + g + 6 - 3*g**3 - 5. What is the units digit of s(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + -143?\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19030 + -19030.27684. Round s to three decimal places.\nAnswer: -0.277","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/5, 543, 16113, 3 in increasing order.\nAnswer: 6\/5, 3, 543, 16113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/5)\/((-4)\/(-40)). Suppose 0 = -4*u + b + 16, 2*u + 2*b = 4*u - j. Determine n so that -12*n**2 - 11*n + n**u - 3*n**4 + 3*n - 8*n**3 - 2 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25548 is divided by 4920.\nAnswer: 948","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/7 (b) 2 (c) -23 (d) 2\/19 (e) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-10\/3)\/i*i**(5\/8))\/(i**(-2\/31))**5 assuming i is positive.\nAnswer: i**(-1775\/744)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 0 + (45\/(-30))\/(15\/6)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 2*y - 11. Let l = 57 - 49. Let r be g(l). Solve r = o + 1 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, -15, -23, -29, -33, -35, -35?\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0 (b) -0.5 (c) -253 (d) 3 (e) 2.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + 3 + -4 + sqrt(7) + 4 + sqrt(7)*-3 + (2*((sqrt(70) - 3*sqrt(70)) + sqrt(70)))\/(-3*sqrt(810)))**2.\nAnswer: -50*sqrt(7)\/9 + 10936\/729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 5*i - 7 = 0, 0*i = 4*i. Let r be 0 + 1 + -2 + n. Solve 0 = -u - 2*w + 10, 0 = 5*u - w + r*w - 30 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (640\/3168*-9)\/((-68)\/22)\nAnswer: 10\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 10 = -14. Is ((-446)\/t)\/((-8)\/(-24)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2668 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*f**5 + 331*f**4\/2 - 599*f**3\/2 + 471*f**2\/2 - 139*f\/2 + 1 = 0.\nAnswer: 1\/66, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 7*i**2 - 16*i + 9. Let k(v) = -8*v**2 + 17*v - 10. Give 5*k(o) + 6*y(o).\nAnswer: 2*o**2 - 11*o + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2*2\/8*0. Suppose -t + 3 = 5*j - 10, c = 5*j + 5*t - 5. Find the second derivative of h**j - 2*h**3 + 3*h**3 - 17*h + 21*h wrt h.\nAnswer: 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2828*a + 672 = 3076*a - 6128*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -51*o + 563. Let x be r(11). Solve -5*v - 8 = 2*b, -81*b + 3 = -82*b - x*v for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-729)\/(-6804))\/(6\/(-16)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -4*y + y. Suppose -16*g = -13*g - 78. Let a be (0 + -1)*(-22 - -21). Solve y*t = -a + g for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -2*k. Let v = 62 + -59. Let h(z) be the first derivative of -1\/3*z**3 + 0*z**2 + 0*z - v. What is h(r(d))?\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 221616 is divided by 44321?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -2575*v**2 + 1289*v**2 + 1287*v**2 + 7 as m*v**2 + g*v + w and give w.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-51)\/(-18) - 2\/(-12). Suppose -9 - w = f. Is (f\/(-9) + -2)*-57 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7825292 by 1.\nAnswer: -7825292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (9\/(-18))\/(1\/(-12)). Suppose -6 - b = -4*p. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 48280 and 175?\nAnswer: 1689800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 13*v - 14*v - 3*i, -14 = 7*v + 4*i. Suppose -12\/7*t**v + 3\/7*t**3 + 9\/7*t + 0 = 0. What is t?\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -4 - 2 + 6 + 3*h. Let j = 50 - 40. Let m(y) = -1 + j*y**2 - 8*y**2 + 1. Determine v(m(u)).\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 3852?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 + 3*v**2 - 7*v + 5. Let t be j(5). Is (-20)\/t - 8145\/(-17) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -48.8818 to 1 decimal place.\nAnswer: -48.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(80) - (sqrt(80) + -2))**2.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1552, 6461, 14742, 26395, 41420?\n\"Answer: 1686*t**2 - 149*t + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 121961*p - 107308.\nAnswer: 121961","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 578510 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (4*(2 + sqrt(24)\/sqrt(8)*4) - (3 + -3*sqrt(432)*4)).\nAnswer: 1 + 160*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssddszg. Give prob of picking 1 g and 1 z.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + 1 - (3 + -7). Suppose 0 = -n - 3 - f. Is (5\/4)\/(n\/(-48)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -190*m**6 - 33*m**3 - 252*m**2 - 7*m + 3.\nAnswer: -22800*m**3 - 198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = 2*n + 14, -4*n + 5*q + 141 = 143 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -100*k + 1020. Determine t(10).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-16769948)\/43371720 + (-8)\/(-20). Let o = h - 2\/17211. Let m = o - 2441\/378. Find the common denominator of 13\/9 and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 36107\/5 + -35318\/5. Let x = -157 + u. Factor 1\/5*d**2 + x + d.\nAnswer: (d + 1)*(d + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32805977 to the power of 1\/3, to the nearest integer?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(1\/3)*d*d\/(d*d\/(d*d**(-7)\/d))*d)\/(d\/(d*d**(-14\/9)*d))**(-19))**(-45) assuming d is positive.\nAnswer: d**(-220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -m**3 - 15510558*m**2 + 18841415.\nAnswer: -3*m**2 - 31021116*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -5*p + 12. Let s be z(3). Let n = 1\/76 + 73\/228. Which is the closest to -3? (a) n (b) 4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1415 - 1420 - 248*a**2 - 246*a**2 + 497*a**2 - 1424 + 4259.\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 + 4*d + 2. Let l = 8 + -5. Let w be n(l). Find the third derivative of 0*c**5 + 4*c**5 - 2*c**2 - c**w wrt c.\nAnswer: 180*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:18 PM and 11:25 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23 (base 5) to base 10.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*h**2 + 1388080*h - 2776144 = 0. Calculate h.\nAnswer: 2, 347018","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.2 + 0.6. Let k = -50\/9 + 65\/9. Let h be 10\/(-4)*(1\/3)\/((-1425)\/855). Which is the fourth biggest value? (a) g (b) k (c) 2\/7 (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 401 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/182823 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111*q - 1206 - 1014 = 0 for q.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b + 6 = 7*b + 4*g, -4*g + 15 = b. Suppose 0 = -4*s - b*i + 29, -2*s + 2 = 7*i - 3*i. Solve 0 = p - v + 4, 2*p = -v + s - 4 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h**5 - 5*h - 2*h**2 + 5*h + (-h**4 + 13*h**4 + 6*h**4)*(0*h - 3*h + h).\nAnswer: -38*h**5 - 2*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -155*c - 27 + 70*c - 164*c. List the prime factors of i(-4).\nAnswer: 3, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 7:42 PM?\nAnswer: 1:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.1 (b) 0.5 (c) 398 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22 - 19. Suppose -1 = -5*x + g + 13, -v*x = 5*g + 14. Let u(d) = -2*d**2 + 0*d**x - d**2. Give u(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + 2*(-76)\/2. Let a be u\/(-6) + (-4)\/(-6). Solve 3*h = -3*k - 6, 5*k = 5*h - 17 - a for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = 3*m + 29. Let u = m + 38. What is the remainder when 43 is divided by u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 395918511?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -4, p + 9 = -0*p + 3*h. Let b = p + 8. Differentiate b + 0 - 11 - 4*f + 6*f wrt f.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -4*o - 43. What are the prime factors of h(-18)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1207 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (246\/164)\/(27\/(-4))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -41\/6 >= -355\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1095045 - 0?\nAnswer: -1095045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 128478?\nAnswer: 2, 3, 7, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 72*s**4 + 472*s**3 + 2210*s**2\/9 + 100*s\/3.\nAnswer: 2*s*(s + 6)*(18*s + 5)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 2)*(1 - 1 + 2*k) - 4*k + 5*k + 0*k + 1 + 2*k - 1 + (-k + 4*k - 2*k)*(0 + 0 - 1).\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -4*w**2 - 3. Let j(a) = -4*a**2 - 2. Give -3*j(z) + 2*u(z).\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5127 + 5128. Let q be 0 + (-5)\/4 - -1. What is the closest to q in f, -2\/7, -4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a microgram in nanograms?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, -111, 59 in descending order.\nAnswer: 59, 2, -5, -111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7112*o**2 + 1785*o**2 + 1755*o**2 + 1766*o**2 + 1737*o**2 - 18*o**4 - 7 to the form r*o**2 + q*o**4 + l*o + u + c*o**3 and give r.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-three eighths of a kilometer in meters?\nAnswer: 7875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12.7? (a) 1 (b) 7 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = k - 318. Suppose -1881 - 570 = -19*o. Let x = k + o. List the prime factors of x.\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 18\/5 of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.068169512 rounded to 5 decimal places?\nAnswer: -0.06817","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -15*n**3 + n**2 + 23*n - 23. Suppose 0 = -4*x + 24, -685*l = -681*l + 2*x - 16. Give i(l).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -209*h**5 + 51*h**2 + 204*h**5 + 12*h**2 + (-1 + 5 - 2)*(2*h**5 - h**5 + h**5).\nAnswer: -h**5 + 63*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 AM and 7:21 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -1\/3 (b) 2\/9 (c) 24 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -x**2 + 7*x**4 + 1702 - 54*x**3 + 2304 - 226 wrt x.\nAnswer: 28*x**3 - 162*x**2 - 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1\/615 + 2932\/87945. Find the common denominator of w and -41\/363.\nAnswer: 4719","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1021112120 (base 3) in base 8?\nAnswer: 61133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (115\/((-18400)\/(-1320)))\/(18\/(-16)).\nAnswer: -22\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 x when two letters picked without replacement from {m: 3, h: 1, y: 1, n: 4, r: 6, x: 1}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -1 + sqrt(275) + -2 + (sqrt(275) + -2 + sqrt(275) + sqrt(275) + -2)*5)**2.\nAnswer: -4000*sqrt(11) + 71025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10578 and 4386?\nAnswer: 179826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -2*a**3 + 6*a**2 + 3*a + 3. Let g(q) = q**3 - 6*q**2 - 4*q - 4. Let y(s) = -3*g(s) - 4*i(s). What is the third derivative of y(x) wrt x?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 558617\nAnswer: -167585.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 22*z + 30 = -27*z, -2*w + 5*z + 2 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 5:54 AM?\nAnswer: 1:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 104 and 0.17?\nAnswer: 103.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -32\/59 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -164*o**2 + 1427337*o - 1427337*o.\nAnswer: -164*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 6 + 5)*(-1 + 0 - 1)*(2*r**2 - 4*r**2 + 1 + 5*r**2).\nAnswer: 12*r**2 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16 + 12)\/((-50 + 0)\/5).\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -12 + -4?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -4*i - 6. Let a(b) be the second derivative of -b**5\/60 + 11*b**3\/3 - 5*b. Let u(t) be the second derivative of a(t). What is f(u(o))?\nAnswer: 8*o - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 41*a + 3689. Calculate m(-94).\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1944017 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-r + 2 - 2)*(-2*r + 3*r + 0*r) - 4*r**2 - r**2 + 3*r**2)*(16 - 16 - 14*r) to l*r**3 + v*r + q + f*r**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 3*i = -2*a + 2, -2*a = -4*i + 6. Let o be 49 - (2 + -2 + a). Calculate the greatest common divisor of 16 and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 77*h + 9614 - 11077 for h.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-24) - (-6565)\/6060. Sort 3, -2, 0, n in ascending order.\nAnswer: -2, 0, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*y)*(-554 + 1119 - 562).\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -51 - -53. Let n(t) be the third derivative of 1\/60*t**5 - a*t**2 + 0 + 1\/2*t**3 + 0*t + 0*t**4. Differentiate n(x) with respect to x.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17136 + 8557 - 2*l**2 + 8565.\nAnswer: -2*l**2 - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + 400?\nAnswer: 404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -7526, 4\/7, 4?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/((-1)\/(-6))*(-105)\/(-42). Does d = -14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1832433799 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, n: 1, f: 4, p: 1, s: 2}. What is prob of picking 1 f, 1 n, and 1 s?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2998489 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 - 3 - -2 - -2. Suppose 0 = -i + h*m + 81, 3*i + 0*m - 229 = -5*m. What are the prime factors of (-12)\/i - (-654)\/26?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 52294 or 52288?\nAnswer: 52294","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 5:57 PM?\nAnswer: 9:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 847 and 300484261.\nAnswer: 847","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*n + 124*n + n**3 + 2 - 2.\nAnswer: n**3 + 93*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6260319.\nAnswer: 3, 13, 53507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 AM and 11:36 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 18\/19 (b) -1\/3 (c) 9 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -3*u**3 - 21*u**2 - 3*u - 17. Let y(t) = -20*t**2 + 101*t - 12. Let p be y(5). Let v be m(p). Which is the nearest to -2\/13? (a) 5 (b) -2 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -6 and -41338973102.\nAnswer: -41338973108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-4)*((-196)\/77)\/(6\/(-33)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 - 13*m - 28. Let i be u(14). Let l be 0 + (-4)\/i - 19\/(-7). Calculate the highest common factor of l and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 8*x**2 - 3*x + 1. Let o(q) = -5*q**2 + 2*q - 1. Give -4*h(i) - 7*o(i).\nAnswer: 3*i**2 - 2*i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 146*m**2 - 71*m + 422. Let f be h(-16). Round f to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 164 + -162. Sort -1, 35, g, -2 in decreasing order.\nAnswer: 35, g, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 14*o + 100. Let x be h(-7). Let i(m) be the third derivative of -2*m**x - 1\/12*m**4 + 0*m + 0*m**3 + 0. Let r(p) = -p. Give r(i(g)).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*a**5 - 2848*a**4 + 21*a**3 + a**2 + 39439753?\nAnswer: -300*a**2 - 68352*a + 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1540 + -1540. Which is greater: 277.6 or k?\nAnswer: 277.6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**3 + 41710*m**2 - 416480*m - 999840.\nAnswer: -5*(m - 8332)*(m - 12)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 115511738?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1330 and 1270?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 - 3 - (-27)\/3. Suppose 7*d = 6*d + v. Does 8 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -2*o. Let v(q) = -254*q**2. What is v(u(w))?\nAnswer: -1016*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p - 1. Let a be t(-6). Suppose a*r - 26 = 19. Let d = 3 + 24. What is the greatest common factor of r and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 AM and 11:32 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1200536 to the power of 1\/5, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f**(-2\/23))\/f*f**(2\/3))\/(f**1\/(f*f\/(f*f*f**(3\/2)*f*f)*f*f)))**(-41) assuming f is positive.\nAnswer: f**(10865\/138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3868 - 13972*o - 3868.\nAnswer: -13972*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -18*a**2. Let o(d) = -6 - 1400*d + 6 + 2786*d - 1412*d. What is z(o(s))?\nAnswer: -12168*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 365226.8 micrograms in milligrams?\nAnswer: 365.2268","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a9 (base 11) to base 6.\nAnswer: -315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, v: 3, g: 5, c: 1, n: 1}. Give prob of sequence nc.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -223, -233, -257, -301, -371?\n\"Answer: -q**3 - q**2 - 221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -13031 and -0.258.\nAnswer: 3361.998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 2589.04 to the nearest 100.\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -41.9 + 44. Let k = 0.131 - 0.059. Let c = k - 1.072. Put j, -2\/5, c in ascending order.\nAnswer: c, -2\/5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 10:00 PM?\nAnswer: 9:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 1346 = 1330. Is p greater than 5\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 12*k**2. Let f be d(2). Suppose -7 = -5*g + f. Calculate the smallest common multiple of 7 and g.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7287 is divided by 37?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*w**2 + 7*w**2 + 33*w**2)*(-2*w + 3*w + 2*w) - 3*w**3 + 4*w**3 + 0*w**3 as a*w + s + g*w**3 + h*w**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*z + z**2 - 2*z + 2*z - z as b*z**2 + j*z + g and give j.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 61, 118, 133, 94, -11, -194?\nAnswer: -467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21101212 + 212121?\nAnswer: 22021110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -412278, -412276, -412274, -412272, -412270, -412268?\n\"Answer: 2*k - 412280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 872706.8ns?\nAnswer: 0.8727068","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 860\/(-1935)*36\/8?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 104500, -0.09, 2?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2\/2 - 39917*b\/2 - 697935.\nAnswer: -(b + 35)*(b + 39882)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8019 and 99063.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -10 - 6 - -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2*a**3 + 3*a**2 - 15*a - 25. What is the thousands digit of w(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -2*l**2. Suppose -7 - 9 = 4*p. Let f be (-60)\/(-27) + p\/18. Let y(m) = 2*m**f - 5*m**2 + m**2. Determine y(q(r)).\nAnswer: -8*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 40122 (base 6) in base 16?\nAnswer: 1472","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1494, -1505, -1516, -1527, -1538, -1549?\n\"Answer: -11*u - 1483","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-3*2\/22416). Suppose t - 2554 = 2*y + x, -12535 = -2*t - 5*y. Suppose -t = -4*f + 2*f. Round f to the nearest one hundred.\nAnswer: 3100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 622013\/13 - 47719. Let n = w - 128. Let v = 3\/7 + -13\/14. Which is the closest to 0? (a) n (b) 0.2 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 15\/4 - 1\/(-4). Let b = 173 - 360. Let c = l - b. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83 - (-2 + -3 - (-31 - -38))?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j*j**(-1\/17))\/(j\/j**(-1)))**21)**(-10))**(9\/2) assuming j is positive.\nAnswer: j**(17010\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + 4 - 4)*(2*i**3 + 2 - 2) + 2*i**4 - i**4 + i**4 - 2*i**3 + 7557*i - 7556*i + i**3 + 11*i**4.\nAnswer: 9*i**4 - i**3 + i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence too when three letters picked without replacement from uvtutrotutooruutut.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + 4 + 56\/6.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*i**4\/7 + 292*i**3 + 93694*i**2\/7 - 32824*i\/7 - 62920\/7 = 0. Calculate i.\nAnswer: -286, -55, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6*(-9)\/399762*6. Let j = 984527\/88836 - v. Let m = 294\/95 + 477\/380. What is the common denominator of j and m?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (155 - 21 + 26)*(p - 4*p + p)*(483*p**2 + 1 - 482*p**2 + 2*p - 3*p).\nAnswer: -320*p**3 + 320*p**2 - 320*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -17, -8, 13, 52, 115?\n\"Answer: i**3 + 2*i - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.7 times 2.9?\nAnswer: 48.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 309 - 164 = -4*v + 157. Let j = -0.2 + 1.2. Which is the nearest to -0.12? (a) v (b) -1 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23311 = 26*p + 24351 for p.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3*-1 - 112\/(-35). Let h be (-2)\/(4 + (-15)\/2). What is the second smallest value in 2, h, w?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2 - 2*m. Let x be y(-2). Let w be 2\/(-2) - x - -3. Solve 2*k - 2*k - 2 + 2*k**w = 0 for k.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -p + 3. Let w = 8 - p. Put w, 4, 2 in decreasing order.\nAnswer: 4, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/(-4))\/(1\/(-12)). Let q = n + 6. Suppose 0 = 4*o - 4*x + 4, 5*o = o + 2*x + 6. Solve q*w + o*w = 16 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 5, a: 8}. Give prob of picking 2 a.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -425691*j**3 + 244180 wrt j.\nAnswer: -1277073*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) -3 (b) 0.08 (c) -28 (d) -0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 336 and 2928?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 2*q - 113455, -4*d = -3*q - 67841 - 83438. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.02786 - 0.02786. What is the closest to 1 in -5, a, -97?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -145840330 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 7, b: 3, i: 5, d: 2}. Give prob of sequence iqbi.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 15. Calculate the greatest common factor of s and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 3. Suppose a*w - 2 + 6 = 0, -2*w = b + 1. Let i = 83\/3 - 26. Is i less than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2 - 84*q.\nAnswer: -q*(q + 84)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 6, o: 3, d: 4}. What is prob of sequence udu?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/13*p**5 + 10\/13*p**4 - 50\/13*p**2 - 10\/13*p**3 - 32\/13 + 80\/13*p.\nAnswer: 2*(p - 1)**3*(p + 4)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -16? (a) -10\/13 (b) 3 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 2*b - 2. Let i(o) = 1. Suppose 3*d = d - 2. Let t(n) = d*q(n) - 2*i(n). Let j(s) = 5*s**2 + 7*s**2 + 4*s**2 - 9*s**2 + 2*s**2. Determine t(j(m)).\nAnswer: -18*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(78)*-1 - sqrt(78))\/((sqrt(42)*-1)\/sqrt(7)).\nAnswer: 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 3*s**2 + 3*s**2 - 3 - 8*s**2 as m*s + p*s**2 + f and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 63277, 242819, 542057, 960991, 1499621?\n\"Answer: 59848*m**2 - 2*m + 3431","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1785667?\nAnswer: 13, 137359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38.26435 millimeters to centimeters.\nAnswer: 3.826435","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of 0 + 11\/12*b**4 - 1\/2*b**2 - 5\/2*b**3 + 25*b. Is r(4) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -111 by 34029.\nAnswer: -37\/11343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 12143.95 and 7.\nAnswer: 85007.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 87 + (-4 + 18 - (3 + -11)) - (-1 + 7)?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7470908, 29883616, 67238150, 119534516, 186772720, 268952768?\nAnswer: 366074666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/20 and -113\/100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -2 + 12 - 23.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -6) + -14 - -4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 74, -11, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(684) - sqrt(684)) + 5 + ((sqrt(19) - 6*(0 + sqrt(19))) + sqrt(19) - (sqrt(76)\/sqrt(4) + -1))**2)*-1.\nAnswer: -481 + 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of i**6\/30 - 8*i**5\/15 + 8*i**4\/3 + 2*i**2 - 24*i. Find r such that s(r) = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - -1. Let g be 2\/(-4)*(-12)\/n. Suppose -g*j + 54 = 9. Is 15 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 483*m - 1796570 = 651757. Calculate the greatest common divisor of 411 and m.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p**5\/9 + 112*p**4\/9 - 772*p**3\/9 - 328*p**2\/9 + 2128*p\/9 + 1568\/9 = 0. What is p?\nAnswer: -1, 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -72.5674*-0.04.\nAnswer: 2.902696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*u + 3*x - 68, -606 + 1240 = -2*u + 3*x + 606 for u.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 8911170, 8911088, 8910952, 8910762, 8910518, 8910220?\n\"Answer: -27*h**2 - h + 8911198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -u**2\/4 + 488739*u\/2 + 977479\/4 = 0. What is u?\nAnswer: -1, 977479","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*f + 201 = -37 for f.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 3*p**3 - 6*p**2 + 6*p**2 - p**2 - 4*p**3 - 2*p. Determine n(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) 1.8 (c) 2 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f = -4*f - 36. Suppose -2*w + 4*a = 3*w - 28, -4*a + f = 0. Let z = w - 8. Is z not equal to -2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 8*r = 6*r - 32, 5*r = -4*s - 75 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1994 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/26 (b) 54 (c) 1.51 (d) 0 (e) -1\/7 (f) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1855406591 less than -11835?\nAnswer: 1855394756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of j**4 + 8*j**3\/3 + 2*j**2 - 13. Factor z(q).\nAnswer: 4*q*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*r + 16*r + 0*r + 6*r as u + l*r and give l.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -199 * -0.3.\nAnswer: 59.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**4)**(3\/5))**29*(z\/(z**(2\/3)*z))**(-2\/39)\/(z\/(z*z**(2\/7)))**(-9) assuming z is positive.\nAnswer: z**(274622\/4095)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6137 and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/1448553701 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.1954 rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 46526062?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76*s**2 - 8 + 8 - 42*s**2 + 115*s**2.\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-4) + 11\/(-2). Let s be (-2249)\/(-91)*14\/(-60). Let k = -37\/6 - s. Which is the closest to 0? (a) k (b) w (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 + 5*p**2 - p + 1. Let t(y) = -6*y**3 - 15*y**2 + y - 16. Calculate -3*f(s) - t(s).\nAnswer: 3*s**3 + 2*s + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 + 120701*z + 144326*z + 24.\nAnswer: 265027*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -36 - -43. Solve s = 3*i + 13 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2067 - 3340. Let c = -670 - h. Is 34 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 3:20 PM?\nAnswer: 5:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -29*u**2 - 6*u**4 + 14*u**2 + 14*u**2 + 4 in the form y*u**4 + h*u**2 + k + n*u + c*u**3 and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -30 + 73. Suppose -4*x = 4*n + 76, 3*x + 12 + z = -4*n. Let f = x - -33. What is the highest common divisor of 4 and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 639.96261 and -70.9.\nAnswer: 569.06261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(98) - (-4*(sqrt(98) + -1*sqrt(98)) + sqrt(98)) - sqrt(98) - sqrt(98)) + 0 - (sqrt(98) + 5*(-1*sqrt(98) + sqrt(98)) + 1 + -1*sqrt(98))))**2.\nAnswer: 28*sqrt(2) + 393","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z - 1. Let f(o) = o**2 + 7*o + 19. Let d(g) = f(g) + 4*h(g). Let q be d(-12). What is q rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 4 - 1 = 0. Let p be (-264)\/(-121) - 6\/33. Suppose -2*b - 3*j = p*b - 10, -5*b - r*j = -14. Solve 0 = -2*y + 4, 4*t - b*y + 12 = 2*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.156673 millilitres to litres.\nAnswer: 0.002156673","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*j**4 + j - j)*(-3 + 2 + 2) - 45*j**4 - 334 + 334 - 4*j**4 to the form y + n*j + o*j**4 + l*j**2 + v*j**3 and give o.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of -2*u + 0*u**3 + 0*u**5 - 1\/12*u**4 + 0*u**2 + 0 + 1\/6*u**6. What is the third derivative of l(x) wrt x?\nAnswer: 120*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r - 1. Let f(z) = -7*z + 6. Let i(n) = 6*a(n) + f(n). Let o(h) = -3*h**2. Determine o(i(p)).\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -j**4 + 30*j**3 - 225*j**2 = 0.\nAnswer: 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 1)*(43 - 43 - h).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*w - 30 = -25*w. What is the remainder when 64 is divided by w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 391944?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3649 and -8?\nAnswer: -29192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 2*h**2 - h. Let y(m) = -5*m**2 + 3*m - 1. Let n(q) = 8*o(q) + 3*y(q). What is n(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 2*c + 532 - 380 = 0, -4*c - 148 = -2*l. Solve l = 46*k + 32*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 - -11. Suppose -4*t + 96 = -g*t. Calculate the greatest common factor of 6 and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -187.45566 rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 q, and 1 a when three letters picked without replacement from qsdddvddvvavdddvddda.\nAnswer: 11\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*j + 7*j = 0. Sort -1, j, 30, 4 in decreasing order.\nAnswer: 30, 4, j, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 + -5. Let m = v + -9. Factor 0*x + m + 4\/5*x**2 + 14\/5*x**4 - 18\/5*x**3.\nAnswer: 2*x**2*(x - 1)*(7*x - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -9*z + 35. Let i be n(-10). Let g = i - 122. Suppose 111*b**3 - 115*b**g + 4*b**4 + 2*b**2 - 2*b**2 = 0. What is b?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 42.2 + -41. Let q = -1.8 - k. What is the second biggest value in -1, q, 6\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 + 16*n**2 - 63*n + 104. Give p(12).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = -3*n + 13, -3700581 + 3700591 = 2*x + 4*n for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-2 - -8) + -3 + -2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 63307, 126616, 189925, 253234, 316543, 379852?\n\"Answer: 63309*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*q - 40*q + 167*q)*(-58*q + 25*q + 42*q - 125*q - 288*q) in the form k*q**2 + c + a*q and give k.\nAnswer: -48884","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*b - 294 = -14 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 0 - 2 + t**2 + 2*t + 3. Let o be v(2). What is the greatest common factor of 36 and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 10 + 1 + 3 + 2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/4 of a litre in millilitres?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -27*x - 27*x + 55*x + 0 + 3. Let a(s) = -264*s**2 - 4*s + 47. Let p(f) = a(f) + 5*h(f). Find the second derivative of p(l) wrt l.\nAnswer: -528","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 9*f + 8*f = -331, -3*j - 2*f + 252 = 0. What is the lowest common multiple of j and 18?\nAnswer: 738","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/16)\/(36\/16)*-9*(-2)\/92.\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: (18 - 1 - 11) + -12\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 29675 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1063806218?\nAnswer: 2, 229, 653, 3557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 + 6*t + 7. Suppose 4 + 4 = -2*i + c, 5*c = 3*i + 5. Let u be r(i). Solve -u*n + 6*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -37 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 1 = -3. Let g(m) = -m + 2. Let x(s) be the first derivative of -3*s + 5 + 1\/2*s**2. What is p*x(h) - 3*g(h)?\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the second derivative of -1805*l**5\/4 - 13585*l**4\/3 - 1141*l**3\/6 - 3*l**2 - 7481*l + 1. Determine y so that s(y) = 0.\nAnswer: -6, -1\/95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -46.002 - -0.002. Let h = v - -46.1. What is the fourth biggest value in -0.6, h, 0, 1\/5?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 j, and 1 v when three letters picked without replacement from irijgorv.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/23)*d)**(4\/25) assuming d is positive.\nAnswer: d**(84\/575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, i: 13}. What is prob of sequence aaa?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 178807 + -105408. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*p**2 - 8*p**2 - 318*p + 96*p + 119*p + 103*p.\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 239 is divided by 40.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, 3, 2, 4, 9 in ascending order.\nAnswer: -19, 2, 3, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -396742800 to the nearest 100000.\nAnswer: -396700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 207, 77, 0, -20 in descending order.\nAnswer: 207, 77, 0, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*n**3 - 6*n**3 + 6*n**3)*(-2 + 0 + 0).\nAnswer: 18*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 13, w: 3}. Give prob of sequence wywy.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.4 and -938.3259.\nAnswer: -937.9259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-15))\/((-48)\/(-15)).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 - d + 1. Suppose -4*s - 4*x = -8, -s + 2*x = -x - 6. Let r(i) = -5*i**3 - i**2 - 3*i + 3. What is s*o(a) - r(a)?\nAnswer: 5*a**3 - 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -168 + 172. What is the closest to -2 in f, -3, 2\/13?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 8*y + 7. Let o(l) = -l. Let h(i) = b(i) + 6*o(i). What is the tens digit of h(16)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 3*b + 2*b - 13840 = 0, 0 = -2*b. Suppose 4*h = o - 640. What are the prime factors of h?\nAnswer: 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6675558?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 149, 296, 443, 590?\nAnswer: 737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -108 or 3\/17?\nAnswer: -108","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2. Suppose 11*q = 8*q + 504. Let h(i) = -168 + q + 3*i. Give h(t(c)).\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of b**2\/2 + 6*b + 4. Let g be m(-3). Suppose 4*t + 2*a = 4, -t + 35 = 4*t - 5*a. What is the closest to g in 1\/4, 2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6348*x - 6*r + 9 = 6351*x, r - 3 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = f + 5*d - 46, 3*f - d = 144. Suppose 3*b = -9, -t + b - 6*b = -f. Let x = 14 + t. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7 - (3 - (3 + -1)). Calculate the common denominator of 58\/12 + (-4)\/c and 94\/(-18)*(-9)\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -933 + 265. Let n be -1*(-2 + 1 - 58). Let p = n - t. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5516 (base 7) in base 8?\nAnswer: 3665","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**4 - 80*r**3 - 400*r**2.\nAnswer: -4*r**2*(r + 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (93\/(-4))\/(-3) - (-8)\/32. Solve -3*s - j = 7 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 - 4) + 440\/66. Suppose 10 = 36*v - 41*v. What is the third biggest value in c, 0.19, 0.02, v?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 14*z. Let n(w) = -46*w. Calculate p(n(j)).\nAnswer: -644*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of h**2*q*y**2 + 15*h**2*q + 16*h**2*y**2 + 2*h*y**2 + 10*q*y - q - 13*y wrt q.\nAnswer: h**2*y**2 + 15*h**2 + 10*y - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 74473980 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 19101 + -18197590649.\nAnswer: -18197571548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3637 - 380*f - 3637)*(-2*f + 2*f + f**2)*(-8*f - 14*f + 48*f).\nAnswer: -9880*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4418.109l to millilitres.\nAnswer: 4418109","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Expand -c**4 + 3*c - 3*c + (-c**3 + c**3 - 2*c**3)*(c - 2*c - c) + 5*c**4 - 32*c**4 - 4*c**4.\nAnswer: -28*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of f**5\/60 + 9*f**2. Let m(p) = 8*p. Calculate t(m(j)).\nAnswer: 64*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1260936491?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d + d**2 + d)*(-d**2 - d**2 + 0*d**2) + 2*d**4 + 25*d**4 - 8*d**4.\nAnswer: 17*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 1597256?\nAnswer: 3194512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 18*q**4 - q + 0*q**3 - 31*q**4 - 3*q**3 + 14*q**4 to the form w*q**2 + n*q**3 + h*q**4 + s*q + f and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 573 by 31652.\nAnswer: 573\/31652","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 224040 (base 5) to base 9.\nAnswer: 12001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the second derivative of v**7\/630 + v**6\/90 + 2*v**4\/3 - 2*v. Let j(c) be the third derivative of h(c). Find t, given that j(t) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, -26, -47, -70?\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -2*p**2 + 28*p - 26 = 0?\nAnswer: 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tx when two letters picked without replacement from {x: 7, u: 2, m: 5, a: 1, t: 1}?\nAnswer: 7\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.8 (b) -2\/5 (c) 18 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**5*f)\/f*(f**(1\/2)\/f)\/f)\/(f**(-1\/3)*f*f)**(-40) assuming f is positive.\nAnswer: f**(421\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + j - 1, -2*l + 3*j - 2*j = -5. Solve -l*a = 2*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3172 = 776*g - 17758 - 4695 - 2447 for g.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -1) + 43 + -39.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + -1. Suppose -6*k = -s*k. Is -0.5 >= k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 649*d + 430*d - 72900 = -768*d + 389*d for d.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18613 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.56? (a) -3 (b) -0.06 (c) -0.12 (d) 0 (e) -42\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/(7\/(7 - 0)). Let y = 0 - -5. Suppose -4*c - y*t = -8790, c + x*t = 2*t + 2204. Round c to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 225728360 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -4*v**3 - 5*v + 4. Let a(c) = 11*c**3 + 14*c - 11. Suppose 2*h = -0*h. Let n be (4\/3 + h)*-6. Give n*b(q) - 3*a(q).\nAnswer: -q**3 - 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 660551?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 147*m = -152*m - 65, 0 = 5*m + 55 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-2\/13)\/(b\/(((b*b\/((b*b**(-1\/2))\/b))\/b)\/b))*b**(-6)\/((b*b*b**7)\/b)*(b**(1\/2)\/b)**(8\/9)\/((b\/b**2*b*b)\/b**5) assuming b is positive.\nAnswer: b**(-2597\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1707, -0.5, 1?\nAnswer: -1707","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -256670000 rounded to the nearest one million?\nAnswer: -257000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/(-16))\/(141\/1034).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of k**4\/12 + 29*k**3\/6 + 25*k**2\/2 - 30*k. What are the prime factors of c(-30)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -39*z**4 + 76*z**2?\nAnswer: -936*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -163*m**2. Let x(o) = 20*o**2. Determine z(x(c)).\nAnswer: -65200*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o**2 + o**2 - 3*o**2)*(4*o - 3*o + 2*o) - 58*o + 46*o + 12*o - 4307*o**3 + 0*o + 0*o - 4*o**3.\nAnswer: -4305*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 21*h**2. Suppose -l = 390 - 393. Let g(n) = -l*n - 2*n - 7*n + 6*n. Determine b(g(y)).\nAnswer: 756*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 107130?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j - 3*j + 60 = 0. Solve -j*o + 5*a - 15 = 0, o - 5*o - 15 = -5*a for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 - 7. Suppose -5*o + 40 = -s*o. What is the smallest common multiple of 6 and o?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12 - 223?\nAnswer: -211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 2*a - 75. Suppose 0 = a*k - 32 - 93. Suppose -s = -3*s + 2, -5*u + 3*s = 3. Solve -3 = v - 2*h + 1, k*h = u for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of s**4\/6 + s. Let m(a) = 68*a + 57*a - 126*a. What is m(l(b))?\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 1 - 5 = 0. Suppose 2*k - 6 = -4*j - 0*k, z*j + 3*k = 5. Factor j*v**2 + 0*v**4 + v**4 - 3*v**4.\nAnswer: -2*v**2*(v - 1)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -536*d**2 - 4*d - 13 wrt d.\nAnswer: -1072","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 3*i + 9. Suppose 2*m - i = -2*p + 5, 0 = 4*p - 4*m - 60. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n**3 + 3*n**3 + n**3 - 39*n**2 + 3341 + 115*n - 3191 + n**4 - 3*n**3 = 0 for n.\nAnswer: -6, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 - (-1)\/(-2))*-2. Let z be (2 + (-1)\/1)*u. Let k = 5 + z. Solve b + 3*s - 6 = k, 15 = -3*b - s + 3*s for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -0.1, 6, -187, -0.5 in descending order.\nAnswer: 6, -0.1, -0.5, -5, -187","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 33 and 86493.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/14)\/((-7)\/((-336)\/(-12))).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -57 + 56. Let r be (-7)\/(-3) + 2 + (g - 3). What is the nearest to 0 in -9, -2\/3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*z - 47 = -2*z. Suppose a - 5*a = 3*b - 47, -3*a + 29 = b. Sort a, -3, z in ascending order.\nAnswer: -3, z, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8582?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 147 + -147.2. Let l = 0.7 + -0.9. Which is the nearest to i? (a) l (b) -1\/4 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*x - x + 3*x + (2 - 2 - x)*(3 - 4 + 3) + x - 1 + 1 + (1 - 1 + 2*x)*(0 + 1 - 3) - 1 + 1 + 2*x.\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -63*d**3 + 6*d**2 - 3*d + 94. Let v(p) = -125*p**3 + 10*p**2 - 5*p + 188. Let c(y) = 5*m(y) - 3*v(y). What is the first derivative of c(n) wrt n?\nAnswer: 180*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -55 + 155. Suppose -t + p = t. Suppose -f = 2*q - 39 + 9, 5*f + 2*q - 110 = 0. Calculate the greatest common factor of t and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4*1\/((-1)\/2). Suppose 7*d - r = 5*d. Suppose -3*i + d = p - 10, -3*i = 5*p - 10. Solve -2*w = -5*u + 13, -i*w + 3*u = -u + 24 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 8*s**3 + 1155*s**2 + 418*s - 2008. Determine p(-144).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*h - 36 - 74 = 0. Factor 0*b**h + 0*b**3 + 2\/7*b**5 - 2\/7*b**4 + 0*b + 0.\nAnswer: 2*b**4*(b - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 1. Let h = -112.1 + 112. Put 0.9, h, 2\/15, z in ascending order.\nAnswer: z, h, 2\/15, 0.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -32 + 32.21. Let i = 1.91 - x. Let r = -2 + i. Which is the second smallest value? (a) r (b) -0.2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -282 (b) 15 (c) -6 (d) 0.3 (e) -3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.0906 - -7.9106. Let t = 0.82 - o. What is the smallest value in t, -3, -3\/2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, 6, -1 in decreasing order.\nAnswer: 6, 1, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in fourty-five halves of a kilogram?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 376962?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 0.3, -5, -5\/7, 2\/9?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.389*-263.\nAnswer: 102.307","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 - 9*p**2 + 8*p + 1. Let i be (12\/(-9))\/((-1)\/6). Let w be c(i). Let y = w - 3. Is -4 smaller than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-674)\/(-10) + (-2)\/5. Let u = -666 - -666.3. Let p = u - 0.4. Which is greater: p or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d + 7. Let h be a(16). Let f be ((-3)\/h)\/(4\/24). What is the second derivative of -o**5 - f + 2 + 11*o - 5*o**5 wrt o?\nAnswer: -120*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 396 and 86128317.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 - 11*z - 4. Let p(g) = 2*g**2 + 21*g + 8. Let x(s) = -5*f(s) - 3*p(s). Let q be x(-7). Solve -4*d = -16, -q*d - 2*d = l - 20 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(3\/7)*o)**(3\/4))**(6\/17) assuming o is positive.\nAnswer: o**(45\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 71908099309 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -69, -137, -203, -267?\nAnswer: -329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 3*x = 0, 396*m - x - 20 = 394*m for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 564*r - 568*r = 4*z + 60, 0 = 2*r + 21*z + 334 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.1372 and -0.15 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/6 and -43\/14?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1254*p**3 + 3*p**2 - 266 wrt p?\nAnswer: -7524","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2152 is divided by 76.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 8:14 PM?\nAnswer: 6:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 76042?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.59 + -0.09. Let d = 31 - 27. Suppose -6*v - 10 = -5*h - v, -v = 3. What is the closest to h in -4, b, d?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 606, 619, 640, 669, 706?\n\"Answer: 4*l**2 + l + 601","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of z**5\/30 + 7*z**4\/24 - 2*z**3\/3 + z**2 + 3. Let s(v) be the second derivative of g(v). Is s(-11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/33 and 55\/147.\nAnswer: 1617","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (58 + 61 - 235 + 54 + 62 - 1120*f)*(-17 + 4 + 4).\nAnswer: 10080*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1353 divided by 1032.\nAnswer: 451\/344","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1467308993 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*z + 18 - 9 + 11)*(-2*z + z - z).\nAnswer: 10*z**2 - 40*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.1705002*-114\nAnswer: -19.4370228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10572\/75*70\/28. Let c = y + -352. Solve 0 + 2\/15*u**2 + c*u = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 535*p - 413*p = 0. Factor 0*f**2 + 0*f + p - 14\/11*f**4 + 6\/11*f**3.\nAnswer: -2*f**3*(7*f - 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -137*f - 87*f - 6*f + 43*f as n + t*f and give t.\nAnswer: -187","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-3) + (-32)\/3. Suppose -4*d + 9*d + v + 57 = 0, -5*d = 2*v + 59. Let i = o - d. Which is the smallest value? (a) i (b) -4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00008284541 rounded to six decimal places?\nAnswer: 0.000083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87273 is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 254847981?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -21 - -35?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(27) + 4).\nAnswer: 8 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*v - 7*v**3 + 6*v**2 - 5*v**2 - 10*v**2 - v + 5*v to the form y*v**2 + r + c*v**3 + l*v and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1020128463 to the power of 1\/5, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 12:45 AM?\nAnswer: 11:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/344932 and -101\/3005836.\nAnswer: 21040852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 - 14*k**2 - 27*k - 32. Let p be q(-12). Solve 2*n + 2*n - p*j + 4 = 0, n - 5*j = 15 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2339, -2360, -2381, -2402, -2423?\nAnswer: -2444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 5*(((1 + sqrt(112) + -1)**2 - (sqrt(112)*2 + 3)) + (1*(-5 + -1 + sqrt(112) + 3*(sqrt(112) + -1)))**2).\nAnswer: -1480*sqrt(7) + 9915","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2*v**2 - 3*v. Let d be a(2). Suppose -2*n - h + 0*h - 20 = 0, 2*n - h = -16. Let c = d - n. Calculate the highest common divisor of 88 and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2138 - 1161. Let c = v - 576. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*(((-11)\/(-3))\/(-11) + 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -167*p - 7682 = 0, -2*r + 4*p + 86 + 112 + 16 = 2*r + 22 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2161525, -2161224, -2160723, -2160022, -2159121, -2158020?\n\"Answer: 100*y**2 + y - 2161626","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*v - 2, 31 - 32 = n + 3*v for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 146 + -101. Let y = 51 - s. Is 6 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 120030857.\nAnswer: 120030857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 5 = -2*j, s - 3 = -j. Let z be 1\/(-1 + 124\/122). Suppose 2*i = 4*o - z + 3, 0 = -4*o + 5*i + 49. Calculate the least common multiple of o and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10152512 divided by -4.\nAnswer: -2538128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 21936628 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lq when two letters picked without replacement from {q: 4, k: 2, l: 1, y: 2, s: 1}?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c\/(c\/c**(-28)))\/((c*c**32)\/c))\/(c**(-6\/13))**11)**21 assuming c is positive.\nAnswer: c**(-14721\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4191 + 4194. Let g = 6.6 - 7. Which is the fourth smallest value? (a) -3 (b) g (c) j (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 divided by 8\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 21 - 1. Solve -3*j - 14 = -d + 2*j, q*d = 5*j + 10 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*m**2*s*v**2 - 31*m**2*s + m**2*v**3 - 34*m*s*v**3 - m*s*v**2 - 2*m*v**2 - 2*s*v**3 + s - 15*v**3 wrt v?\nAnswer: 6*m**2 - 204*m*s - 12*s - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 794 is divided by 199.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-13))\/n**(-7) assuming n is positive.\nAnswer: n**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of -1\/60*i**5 + 0 + 1\/24*i**4 + 0*i**3 + 0*i + 2*i**2. Let t(f) = 0. What is f?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 659 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.3, 4, 15, 96, -73?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 737 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18, 13, -12, -63, -146, -267, -432?\nAnswer: -647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.131625 and 9.4.\nAnswer: 1.237275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 x when three letters picked without replacement from nhfnfhhnnhhnxhhm.\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1003.381t?\nAnswer: 1003381","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 5*m = 9, 5*m - 3 + 4 = -v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 42946 + 11174. What are the prime factors of m?\nAnswer: 2, 3, 5, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 34 - 28. Suppose -245 + 765 = 5*x. Suppose -2*r = 5*g + r - x, 0 = 2*r + 4. Solve c + y = w*y + g, -5*y = 4*c + 12 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-42))**(-4\/3) assuming t is positive.\nAnswer: t**(-172\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -3*b**2 + 140*b + 837. Calculate x(-6).\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - -3)*(0 - -1). What is the third derivative of 31*m**q + 15*m**3 - m**3 - 44*m**2 + 6*m**3 wrt m?\nAnswer: 306","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 w when two letters picked without replacement from {e: 2, m: 1, b: 3, w: 3, s: 1, h: 2}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -22, -1\/3, -8, 3168?\nAnswer: 3168","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -236 in 1, -4, 0, 2\/7, -134?\nAnswer: -134","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106102 is divided by 4419.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 AM and 2:22 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 + 17*g + 3. Let i be m(-17). Suppose 3*k + i = 12. What is the remainder when k is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, w: 1, z: 1, f: 1, a: 2, s: 1}. Give prob of sequence wz.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - f - 3369 = -0*f, 4*s = f + 6739. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, i: 2, x: 1, n: 4, g: 1}. Give prob of picking 2 q.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*c + i + 26, 21395*c + 5*i = 21477*c - 564 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -2\/5123?\nAnswer: -2\/5123","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*t + 29*t + 30*t = -38*t - 66 for t.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2202641 take away -21.37682?\nAnswer: -2202619.62318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 10 = -4*b - 59, 3*n = -3*b - 3. Let h be -1 - (-3)\/(-2)*b. Solve -h*m**3 + 69 + 70 + 4*m**2 - 145 + 8*m + 2*m**4 = 0 for m.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -200*r + 1 + 799 = 0. Solve r*w + 3*j = -14, 23*w - 14 = 28*w + 2*j for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/5*z**5 - 3*z - 61\/5*z**2 - 79\/5*z**3 + 0 - 7*z**4 = 0 for z.\nAnswer: -15, -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2670*h - 140 = -2675*h - 10*v, -v + 4*v = -8*h + 68 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m - 3*q = m - 4, 0 = -3*m + 3*q - 24 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/192 and 29\/96.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44\/(-33)*(-60)\/16.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3637, -14809, -33441, -59533?\nAnswer: -93085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 281, 1184, 2711, 4862, 7637?\nAnswer: 11036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -43745726, -43745729, -43745732, -43745735, -43745738, -43745741?\nAnswer: -43745744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 49.3 + -48.9. What is the second smallest value in m, 0.2, -4, -2.4?\nAnswer: -2.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**4\/17 + 144*p**3\/17 - 2124*p**2\/17 - 16848*p\/17 - 27378\/17.\nAnswer: -2*(p - 39)**2*(p + 3)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -47648*s**2 + 64*s + 192. Let k(y) = -2269*y**2 + 3*y + 9. What is 3*d(c) - 64*k(c)?\nAnswer: 2272*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iisissspaispa. What is prob of picking 2 s and 2 a?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (4338\/1)\/((-246)\/(-1148))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -21*q**3 - 11*q**2 - 11*q + 34. Let l(x) = 8*x**2 + 4*x**3 - 33*x**2 - 7 + 27*x**2 + 2*x. What is 2*f(u) + 11*l(u)?\nAnswer: 2*u**3 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -33898 + 33898.6. Let u = -8 + 5. Which is the nearest to 10? (a) -1\/3 (b) f (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3127, 3146, 3177, 3220, 3275?\nAnswer: 3342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of 11*z**4\/12 - 7*z**3\/3 - 5*z**2\/2 - 11668*z. Determine b(3).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a millennium in years?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 + 5*b**2 - 8*b - 6. Let w be d(-5). Suppose -j + 102 = 5*h, -3*h + 41 = -4*j - w. What is the remainder when 39 is divided by h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -10, 0.884 in ascending order.\nAnswer: -10, 0.1, 0.884","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.003 + -5.003. Let q = 13.4 + -13.4. Put k, 0.13, q in descending order.\nAnswer: 0.13, q, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 6205070 and 6205069 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = q + 2*q, 3*p - 2*q = 0. Factor 0*h + 6\/5*h**2 + p + 3\/5*h**3.\nAnswer: 3*h**2*(h + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9375*p - 9375*p - i + 5, -5*i + 13 = 3*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + m = -34, 5*b + 11341*m = 11346*m + 95 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of -12*k**5\/5 + 41*k**4\/12 + 54*k. Find the third derivative of o(i) wrt i.\nAnswer: -288","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of -c**5 + 2695*c**4\/12 + 3395*c**3\/6 + 340*c**2 - c - 1094. Suppose r(w) = 0. Calculate w.\nAnswer: -1, -1\/4, 136","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*x - 27 - 29 + 56.\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-20)\/(-4) + -5 - -18. Let k be p\/22 - 0 - 2\/(-11). Solve -k = 2*n + 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 - 20*l - 2. Let x(o) = -4*o**2 + 61*o + 7. Give -7*b(d) - 2*x(d).\nAnswer: d**2 + 18*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 40586 + 12586 = 0. What is p rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*n + 157*n**2 - 159*n**2 + 0*n.\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -811*o + 2. Is g(-11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of j**4\/2 - j**3\/6 - j. Let r(d) = d**3 - 9*d**2 + 7*d + 7. Let m be r(8). Is v(m) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of -22*s**7\/35 + 41*s**6\/50 + 3*s**5\/20 - s**4\/10 + 7*s. Find y such that i(y) = 0.\nAnswer: -1\/4, 0, 2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(612) + sqrt(612)*-1 + sqrt(612) + 2 + -2 - (6*(sqrt(833) + 1) + 1*-2*sqrt(833)))**2.\nAnswer: 264*sqrt(17) + 8264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60 = -3*n - 51 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the third derivative of j**6\/120 + j**5\/15 + j**4\/12 + 3*j**2 - 2*j. Give w(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -498 = p - 4*p. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 6*u + 20. Let y(o) = 5*o + 19. Let s(z) = 2*x(z) - 3*y(z). Let v be s(-7). Sort -1, 1, v.\nAnswer: -1, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 8:52 AM?\nAnswer: 5:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 6480588 and 19279?\nAnswer: 6461309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 4. Solve -4*a = 3*j + 2, -3*j - 5 = y*a - 2*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/108)\/(2\/(-4)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s + i + 13 = 12*s, i + 11 = 4*s. Calculate the remainder when (-8 + 0)*-1 + 0 is divided by -31 + 39 - s*1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 - 7\/(21\/(-18)). Let o = 45 + j. Is 17 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 3*b - 2 = -5, 4*z - 4*b - 4 = 0. Let i be ((-5)\/4)\/((-9)\/36). Put -5, i, z, -23 in increasing order.\nAnswer: -23, -5, z, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 86\/10773 and 43\/1323.\nAnswer: 75411","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 353 is divided by 153?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 459 + -458.8. Suppose -o + 5*f + 2 = 0, 7*o + 4*f + 19 = 2*o. What is the nearest to 0.2 in -8, o, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -385 in -1.14, 1, 44, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3216 and 40.\nAnswer: 16080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*u - u + 5*w, -2*u + 4*w + 54 = 0. Suppose 1 + u = a. What is the greatest common factor of 198 and a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10193487.18 to the nearest ten thousand.\nAnswer: -10190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a milligram in micrograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -15, -36, -57, -78, -99, -120?\n\"Answer: -21*t + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*((-7)\/(-1) + -1). What is the third derivative of -7*q**2 + 0*q**2 - h*q**3 + q**2 wrt q?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w - 2 + 2)*(-2*w**2 - w**2 - w**2) + 875*w**3 - w - 360*w**3 + 625*w**3.\nAnswer: 1132*w**3 - w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*4*-1*sqrt(209)*2)\/(-5*sqrt(1584)*2 - -4*(sqrt(1584) + (sqrt(1584) - (-1*sqrt(1584) - sqrt(1584))) + sqrt(1584) + sqrt(1584))))**2.\nAnswer: 76\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 69 - 23)*(-4 - 2 + 7)*(2 - 4 + 1)*(2*c + 3*c - 4*c).\nAnswer: 83*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4\/7 (b) 2\/5 (c) -75 (d) 0.19 (e) -2\/21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 AM and 4:11 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -527 + 267 - 47*a**2 + 260.\nAnswer: -47*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 200\/30*(2 - 2*-2). Suppose -k = -3*t - 4*s, -t + 3*s + 21 = -1. Which is greater: 14 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 4*q + 5. Suppose -43*u = -25*u - 234. Find the third derivative of -8*o**2 + 9*o - 5*o**4 + q*o - u*o wrt o.\nAnswer: -120*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1328910 or -1328995?\nAnswer: -1328995","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9\/(-3)*(-4 + -3). Let v = 62 - h. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 221 + -2?\nAnswer: 21e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.5612 and 964498.\nAnswer: 964496.4388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {t: 3, r: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -463588 and -681522953?\nAnswer: 681059365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/7))**(-12\/7)\/((o\/o**0)\/(o*o**4*o*o)) assuming o is positive.\nAnswer: o**(270\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5313710?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3281 - 0.28.\nAnswer: 3280.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4086*y**2 - 950*y + 225*y - 5320 + 8179*y**2 - 4088*y**2.\nAnswer: 5*(y - 152)*(y + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of p**5\/60 + 21*p**2 - 6*p. Let y(j) = 1 + j - 1. Let g(f) = -f. Let o(v) = -g(v) - 2*y(v). Calculate h(o(a)).\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -645 or -0.1?\nAnswer: -645","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -5*k + 4. Let h be l(-5). Let v be (-378)\/56*(5 - 1). Let q = h + v. Put 28, q, 1 in decreasing order.\nAnswer: 28, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 0.4 (c) 0.3 (d) -652622\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*u - 20*u - 2 + 27*u)*(2 - 6 + 2).\nAnswer: 14*u + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - y + 12 = 0, 282 = 2*v + 4*y. Let h = 5 + -5. Suppose h*t + v = 5*t. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 699 a factor of 838800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 26 = 166. What is the highest common factor of 60 and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/99 and 10\/7.\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of 0*d**3 + 1\/180*d**6 - 6*d**2 - 1\/90*d**5 + 2 + 0*d - 1\/18*d**4. Find n, given that j(n) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y**4 - 30*y**3 - 35*y**2 = 0. What is y?\nAnswer: -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 73*q**3 - 359*q**2 - 9*q - 5. Let p be a(5). Solve p = 30*s - 55*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 9, o: 5}. What is prob of sequence iioi?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 51965?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -7958.2 and -16?\nAnswer: 7942.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -14*k**5\/3 + 9328*k**4 + 420628*k**3 + 1409584*k**2\/3 + 58566*k = 0. What is k?\nAnswer: -43, -1, -1\/7, 0, 2043","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 8 - 18 = 0. Suppose 3*v - 19 = -1. Let w be v - 7 - (1 + -7). Solve -15 = w*t - o*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -21*p + 23*p. Suppose 8 + 8 = 2*l - m, 16 = p*l - 4*m. Suppose -2*b + 40 = -l. What is the remainder when 46 is divided by b?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 4*u**2 + 4*u - 15. Let h be m(-5). Is 17 a factor of -3*(-1 + h\/(-3))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.1, -2\/27, 1, -4?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -2*l - 30. Let t be c(-21). Suppose -5*b + 7 = -18. Suppose -3*a = -y + 3, 2*a + b*y - 5 - 10 = 0. Solve a*i = -3*i - t for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 9, -7, -1 in descending order.\nAnswer: 9, -1, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -357*s**3*w**3 - 21*s**2*w**2 - 7*w**3 wrt s?\nAnswer: -2142*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5\/10)\/((-5)\/1620). Let i = -158 - v. Solve -i*q - 5*c = 8, c + 14 + 2 = 4*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) - sqrt(117)*1)*-3 - sqrt(117)*-2*-1)\/((sqrt(54) + -2*sqrt(7776) + sqrt(7776))\/(sqrt(6) + sqrt(96)*4)).\nAnswer: 34*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -6 - 12 + 9*b + 7. Let s be a(0). Let g(y) = 9*y + 7. Let r(c) = -5*c - 4. Determine s*r(q) - 6*g(q).\nAnswer: q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-1))\/(113*62\/77066).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 48792 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -6*(1 + (sqrt(833) - ((sqrt(833) - 4*sqrt(833)) + sqrt(833))*-4))*-6*1*-2)**2.\nAnswer: -479808*sqrt(17) + 211599952","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/10 - (17 + (-1890)\/75)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/4 - (-11)\/2. Let r(x) = -x. Let y(m) = 4*m + 1. Let t(l) = -5*r(l) - y(l). What is t(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109*z = -104*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-90)\/(-150))\/(1\/10*-2). Sort -537, 5, v in descending order.\nAnswer: 5, v, -537","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o - 6*o + 4*o)*(o**2 - 3*o**2 + 3*o**2) - o**3 + 1 - 1 + 5*o**3 - o**3 - 2*o**3 + (-3*o**3 + 2*o**3 + 3*o**3)*(-45 - 6 + 7).\nAnswer: -86*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s + 2*s - 8*s)*(22 - 22 - 2*s - 15).\nAnswer: 8*s**2 + 60*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 + (121 + -2 - 4). Let x = u - 588\/5. Let p = 86\/63 - 8\/7. What is the nearest to p in x, 0.2, -0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**2\/2 - 5016*z + 10026.\nAnswer: 3*(z - 3342)*(z - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1295 (b) -88 (c) -0.1 (d) 1\/4 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*j - 23*j - j**2 + 4*j.\nAnswer: -j**2 - 31*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17 - -4. Let x = -14 - n. Let d = -25 - -21. What is the second smallest value in d, x, 0?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 17*t**3 + 4 - 32*t**3 + 16*t**3 - 3*t. Let r(j) = j**3 + j**2 - 4*j + 5. Give 3*r(f) - 4*y(f).\nAnswer: -f**3 + 3*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-6))\/((-2)\/6)*995\/(-995)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -38\/315 + 1\/105. Let p = -27 - -31. Let y be (1 - 1) + p\/(-5 + 17). What is the nearest to 1 in 0, y, z?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -91 + 73. Let p be (-4)\/v - 130\/18. Let t(y) = y - 5. Let x(u) = -3*u + 11. Let l be 1\/(-2)*12\/2. Determine l*x(f) + p*t(f).\nAnswer: 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:23 PM and 10:05 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 29, 0, 2, 12, -3, 211 in descending order.\nAnswer: 211, 29, 12, 2, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 - 13*m + 516. What is the hundreds digit of b(81)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -2*v. Let q(s) = -s**3 - 7*s**2 - 8*s - 9. Let n be q(-6). Let p(u) = n*u**2 - 4*u**2 + 8*u**2. Determine p(k(r)).\nAnswer: 28*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 2 c when four letters picked without replacement from {v: 3, c: 7, j: 2}?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (21\/(-182))\/((-110)\/(-715))\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*o**2 - 39*o - 32 - 16 + 121*o - 8*o**2.\nAnswer: o**2 + 82*o - 48","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, -2\/13, -2\/37 in descending order.\nAnswer: 22, -2\/37, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 3*v = -1070, -3*i - v + 6*v + 3190 = 0. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, v: 3, n: 5, i: 1, f: 1, m: 6}. What is prob of picking 1 n, 1 v, and 1 f?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31699793 is divided by 587033.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 3)*(-5 - 4 + 4)*(4 + 2 - 5 + d)*(-82 - 54 + 28).\nAnswer: 1080*d + 1080","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 334, 1051, 2076, 3271, 4498?\n\"Answer: -23*x**3 + 292*x**2 + 2*x + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 8) to base 16.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30, 39, 58, 93, 150, 235, 354?\nAnswer: 513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 157 = 148. Solve -2*u = x*u - 10 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 2*w = -2*w + 13620, 4*w + 27204 = 4*f. Suppose 2838 = 6*q - f. What are the prime factors of q?\nAnswer: 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*n + 54*n - 8*p = 72, n + 35*p - 32*p + 23 = 0 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2634 divided by 3.\nAnswer: -878","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/18 and 139\/2971932.\nAnswer: 8915796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 - 8*w - 663. Let h be j(-22). Sort h, -14, 3, -2.\nAnswer: -14, h, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -30*x + 811. Let h be f(27). Sort h, 3, -72.\nAnswer: -72, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 17889?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160 = 3*q - 3*y - 2*y, 0 = -q - 4*y + 25. Does 17 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19 - -31. Let y = 5 + -2. Suppose 0*z - 2*z + d + 40 = 0, y*z - 4*d = 60. Calculate the smallest common multiple of x and z.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8778, -9084, -9386, -9684, -9978, -10268, -10554?\nAnswer: -10836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 653\nAnswer: -3\/653","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1025?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5505*w + 2895*w = 1943 - 77543 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of 1\/9*d**3 + 1\/72*d**4 - 1\/90*d**5 - 4*d**2 + 0 - 1\/360*d**6 + 0*d. Suppose w(g) = 0. Calculate g.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*o - 3 + 0*o - 6*o**2 - 5*o**2 + 6.\nAnswer: -11*o**2 - 9*o + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.3392 + -68.5208. Let w = 79 + z. Let f = -10 + w. What is f rounded to two dps?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of -i**2 - 185. Let l(o) = 23*o**2 + 4*o. Calculate l(j(u)).\nAnswer: 92*u**2 - 8*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100200002102 - 12?\nAnswer: 100200002020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3340 and 1902965?\nAnswer: 835","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 4*c + 4*i + 36 = 0, -3*i = -4*c + 47. Suppose -5*w = -c*w. Factor -6*s**2 + 3*s**3 + 2*s + 0*s**2 + s + w*s**3.\nAnswer: 3*s*(s - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21\/(-18)*4\/(112\/(-9))\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 11:52 AM?\nAnswer: 6:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 131904269 to the nearest integer?\nAnswer: 509","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 57862.9 kilograms in grams?\nAnswer: 57862900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5, 6, -218, -2, 0 in ascending order.\nAnswer: -218, -5, -2, 0, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nc when two letters picked without replacement from {c: 3, l: 3, n: 5, u: 2}?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4014 and 8?\nAnswer: 16056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*z + 2. Let b(q) = -89*q - 87*q - 15*q**z + 9 + 176*q. Let u(g) be the second derivative of -7*g**4\/12 + 2*g**2 + g. Determine -6*b(r) + 13*u(r).\nAnswer: -r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b + 10. Let f(x) = -96 + 178 + 4*x - 113. Let r(i) = 2*f(i) + 7*k(i). What is the lowest common multiple of r(12) and 16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 + 12. Let l = -0.99926 + u. Round l to four dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 37 - 40. Let p be (g - (-30)\/5) + 9\/(-3). Suppose p = -5*y + 357 + 58. Calculate the remainder when y is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -121 + 2012?\nAnswer: 1121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((3256\/1110)\/(8\/(-10)))\/(7\/(-3))?\nAnswer: 11\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 1 + 2)*(b**3 - 1 + 1) + 0*b**3 + b**3 + 6*b**3 - 1636*b**3 + 7878*b - 7878*b as z*b + g*b**3 + h*b**2 + k and give g.\nAnswer: -1630","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 231 or 1\/16?\nAnswer: 231","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -318, -345, -390, -453, -534, -633?\n\"Answer: -9*c**2 - 309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 41, -3, 3, -18, 0.7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*f - 1202*a + 1205*a - 17 = 0, 0 = -3*f - a - 21 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 AM and 2:06 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 27858.06614 to the nearest 100.\nAnswer: 27900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**2 - 1. Let m(u) = -2*u**3 + 4*u**2 + 2*u + 4. Suppose -4*k = -0*k - 16. Let x = 3 - k. What is x*m(g) - 4*a(g)?\nAnswer: 2*g**3 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 18934879 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 PM and 10:47 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 5*p**2\/6 - 1165*p\/2 + 101745 = 0.\nAnswer: 342, 357","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1469036?\nAnswer: 2, 367259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -242849, -486314, -729779, -973244?\nAnswer: -1216709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of 0 - 1\/12*l**4 + 0*l + 8*l**2 + 11\/3*l**3. Is y(0) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37390826?\nAnswer: 2, 11, 457, 3719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d - 3. Suppose 4*t + 18 = t. What is v(t)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*r + 2*s, -5*r + 10 = -5*s + 3*s. Find the third derivative of 20*n**2 - 11 - n**4 - n**r + 12 - 25*n**2 - 18*n**5 wrt n.\nAnswer: -1080*n**2 - 48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 799.\nAnswer: 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138*w + 1408999 + 235685 = 0. What are the prime factors of w?\nAnswer: 2, 59, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1225) - sqrt(1225))\/((sqrt(56) + sqrt(56)*1 + sqrt(56))\/sqrt(8)).\nAnswer: 5*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1663249 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -8078631 divided by 2?\nAnswer: -8078631\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -21*c + 5*c + 80232. What is c rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-4))\/(((-901425)\/(-680))\/(-101)).\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -3*h - s - 1, 3 = -3*s. Suppose h = 4*k - k - 9. Solve 0 = j - k*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 5920?\nAnswer: 17760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -195 - -203. Let p(o) = -64*o - 176. What is the smallest common multiple of p(-15) and u?\nAnswer: 784","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 62.60545 litres?\nAnswer: 62605.45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 68 + -533?\nAnswer: -487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 394133 divided by 6\nAnswer: 394133\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -36*h**5 - 39*h**4 - 90*h**3 - 39*h**2 + 6*h + 21. Let t(b) = 7*b**5 + 8*b**4 + 18*b**3 + 8*b**2 - b - 4. Let v(a) = -4*r(a) - 21*t(a). Factor v(x).\nAnswer: -3*x*(x + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1192070, 1192069, 1192068, 1192067, 1192066?\n\"Answer: -m + 1192071","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4849162795 to the power of 1\/2, to the nearest integer?\nAnswer: 69636","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 11253797 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 PM and 6:40 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -0*y + 2*y - 66, 2*g + 57 = -3*y. What is the remainder when 41 is divided by (16\/g)\/((-2)\/33)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2.2, 6, 3\/5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (15 + -12) - (-1 - (-2 - -4))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6194905*y - 17*y**2 - 6194905*y + 17*y**2 + 12389810*y + 31*y**3.\nAnswer: 31*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -3*f**2 + 2*f + 1. Let p(t) = 2318*t**2 - 2 - 2 - 10*t - 2304*t**2. What is 2*p(l) + 11*q(l)?\nAnswer: -5*l**2 + 2*l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m**4\/3 - 32*m**3\/3 + 30*m**2 + 108*m = 0. Calculate m.\nAnswer: -2, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*p**4 + 38*p**3 + 32*p**2 - 32*p = 0.\nAnswer: -4, -2, 0, 4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -11*x**2 - 8*x + 6. Let r(s) = -1 - 10 + 3 + 5*s + 4 + 7*s**2. Let y = -38 + 61. Suppose n + y = -5*d, 3*d - 3*n = -7 - 14. Give d*b(a) - 8*r(a).\nAnswer: -a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + a + 12 = 5*a, -2*w + 8 = a. Let t(u) = 2*u - 3*u + w*u + u + 2*u. Let f(k) = 27*k**2. Calculate t(f(q)).\nAnswer: 162*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-6) - 85944855\/(-9). Let w = 32450572 + t. Let c be 0 + w\/(0 - 3). Round c to the nearest 1000000.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 6*l + 24451*l**3 + 12*l**2 - 2*l - 4 - 24450*l**3. Determine x(-12).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 9*q + 32. Let z(k) = 20*k + 72. Let g(s) = -5*n(s) + 2*z(s). Calculate g(0).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3524 + -7422?\nAnswer: -13146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 9 - (1 - -6)) + -7\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 26*c - 4. Suppose 2*q = -f + 1, -5*q + 3*f + 2 = -17. Suppose 2*x + 0*z = q*z, 3*x - 1 = 2*z. Calculate the lowest common multiple of g(x) and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-3 + (sqrt(102)*1*-4)\/((sqrt(66)*3 + sqrt(66))\/sqrt(11)) + 0).\nAnswer: 12 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.696884 times 2?\nAnswer: -7.393768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(1331) + (1 + sqrt(1331) + 0 - sqrt(1331) - sqrt(1331))**2 + 0 + sqrt(1331) + -1)*5.\nAnswer: 6675","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(343) + 5)**2*3*-3 - 4*(4*(sqrt(343)*3)**2 + ((2 + sqrt(343))**2 + sqrt(343) - sqrt(343)) + 4).\nAnswer: -47484 + 518*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 5*m - 8*m. Let c(b) = -b**2 - 10*b + 5. Let h be c(-11). Let q(y) = 2*y**2 + 9*y + 2. What is the remainder when q(h) is divided by m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 791*f. Let p(g) be the third derivative of g**5\/20 - 2369*g**2. What is a(p(l))?\nAnswer: 2373*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -188.1, 3, -0.67, -3, 0?\nAnswer: -188.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of -o**8\/588 - 52*o**7\/735 - 31*o**6\/30 - 28*o**5\/5 + o**2 - 74. Let u(n) = 0. Calculate n.\nAnswer: -12, -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -11*o**2 + 9*o + 1. Let n = 11 - 7. Let z(i) = -5*i**2 + 4*i. Let g(q) = n*a(q) - 9*z(q). What are the prime factors of g(-3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 483277\/(-770) - 16\/88. Let f = -3113\/5 - u. Calculate the common denominator of 6\/2*14\/(-32) and f.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 6*y**3 - y**2 - 5*y + 11. Let i be j(2). What is the greatest common divisor of i and 1125?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/(-20)*-4*5\/165*-3.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1708 and 33367.\nAnswer: 934276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/189 and -49\/216.\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 5*d**3 - 40*d + 40*d + 3.\nAnswer: 5*d**3 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 0) + (2 - (7 + 2 + -12)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 + 4. Let o be g(0). Let s(h) = -2 - 15*h + 0*h**2 + 3*h**2 - h**2 + 2*h**2 - h**3 + 19*h. Is s(o) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -4*m**2. Let x(u) = 2*u - 3. Let i be x(3). Let l(t) = 16*t**2 - 14*t**2 - 3*t + i*t. What is d(l(f))?\nAnswer: -16*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -55389, -111101, -166813, -222525, -278237, -333949?\n\"Answer: -55712*x + 323","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8274?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 4:41 AM?\nAnswer: 6:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/6)\/(3*((-75)\/9 + 76\/(-76)))?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -16 (base 8) to base 15\nAnswer: -e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 38 + 12 + 17 + s**3 + 118*s + 1.\nAnswer: s**3 + 118*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of -c**7\/588 - 8*c**6\/945 - 19*c**5\/1260 - c**4\/126 - 22*c**3\/3 + 23. Let x(p) be the third derivative of d(p). Factor x(o).\nAnswer: -2*(o + 1)**2*(15*o + 2)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -7*h - 77. Let i be q(-11). Let f = -259\/209 + 27\/19. Which is greater: i or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 107, 6, -95, -196, -297?\nAnswer: -398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 5*s - 75647, 0 = 3*s - 5*d - 17414 - 27947. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 - z**2. Let q(f) = -5*f**3 - 2*f**2. What is d(l) + q(l)?\nAnswer: -4*l**3 - 3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmmm when four letters picked without replacement from {m: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 3*f + 9. Let c be t(7). Suppose c = -0*k + 2*k. List the prime factors of k.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2569537556.\nAnswer: 2, 17, 59, 640463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 215462.55 months in millennia?\nAnswer: 17.9552125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 2*o**5\/13 + 120*o**4\/13 + 2400*o**3\/13 + 16000*o**2\/13 = 0.\nAnswer: -20, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 4*f + 12, 8 = 5*i + f - 2*f. Suppose -i*o - 3*c = -10 - 14, -5*c = 0. Find the second derivative of 28*l - 34*l - l**2 - o*l**3 + l**2 wrt l.\nAnswer: -72*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -16690.1 to the nearest one hundred.\nAnswer: -16700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 90448, 90441, 90434, 90427, 90420, 90413?\n\"Answer: -7*d + 90455","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z + 2 + 0*z**2 + z**2 + z**3 + 4 - 2*z**3. Let r(y) = -y**2 - 6*y - 5. Let t be 5\/(-2*(-1)\/(-2)). Let h be r(t). What is d(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23436453?\nAnswer: 3, 127, 137, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in five quarters of a milligram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 AM and 8:29 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*a = 36*a. Suppose -10 = -2*r, f - 325 = r - a. Is 66 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/j**(-2\/59))**(4\/19)\/(j**(-1\/4)\/(j\/j**(-1\/11))) assuming j is positive.\nAnswer: j**(87259\/49324)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6.7 - -7. Let t = 1.109 + -0.039. Let m = j - t. Round m to 1 decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 11 = -3*o, 0 = 2*s - 0*s - 8. Let x(w) = -w - 4. Let z(p) = 4*p + 13. Let a(j) = -j - 1. Let f be a(-3). Let b(n) = f*z(n) + 7*x(n). What is b(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36450 is divided by 895?\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y + 11*y**2 + 2*y - 3*y - 2*y + 88*y**3.\nAnswer: 88*y**3 + 11*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -7.6 <= -13.96?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -424, -880, -1418, -2080, -2908, -3944?\nAnswer: -5230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/45083 or -2908?\nAnswer: -2908","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -13, 0.09 in descending order.\nAnswer: 4, 0.09, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -5270 (base 9) in base 6?\nAnswer: -25530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of -f**5\/20 + f**4\/6 + 2*f. Let a be o(2). Suppose a = 3*b - 6*b. What is the smallest value in 0.3, b, 5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88417699?\nAnswer: 3347, 26417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 355983?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -4*u - 5, -22 = -u + 6*u + 4*k. Let x = -17\/5 + 41\/15. Is x <= u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 128 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + -5)\/6*-2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 3*l - 39 = 18, -5 = -5*l. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2546 = -38*z + 2660. Factor 1\/5*m**5 + 0*m - 4\/5*m**2 + 1\/5*m**4 + 0 - 4\/5*m**z.\nAnswer: m**2*(m - 2)*(m + 1)*(m + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.107 * -1.\nAnswer: 0.107","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4910 - -2931. List the prime factors of i.\nAnswer: 7841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -3, -0.2, 1.55?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 29674049789 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 115 - -4. Let u be 748\/l + 4\/(-14). Let h be ((-2)\/u)\/(2\/(-6))*3. Solve -11 = h*m + 4 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + -4. Let i(o) = -58*o**2 + 1. Let r be i(s). Does 11 divide -3*r\/27*3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.3734447 rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, -8, -1, -3117805 in ascending order.\nAnswer: -3117805, -8, -1, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11.1508520081692 + -9.\nAnswer: -20.1508520081692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-4) - (-9 - (-140)\/16). Solve 3*n - 42 + 30 = k for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -43 + -2957b?\nAnswer: -295c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(396)*-2)**2 - sqrt(396).\nAnswer: -6*sqrt(11) + 1584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*k - 3*k - 4*k - 6.\nAnswer: -7*k - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**2\/k)**(-7\/6)*(k\/(k\/k**3))**32 assuming k is positive.\nAnswer: k**(569\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 f when two letters picked without replacement from ffaaffaffaaff?\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6877860 + -1.0438.\nAnswer: 6877858.9562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oorr when four letters picked without replacement from ooorrroroorrrororror.\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + 0 + 2 + -4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2*3)\/((-15)\/(-7430)). Let l = c - 528. Round l to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 44*u**2 + 20*u + 100. Let h(l) = -2*l**2 - l. Calculate -20*h(n) - q(n).\nAnswer: -4*n**2 - 100","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4674 is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 546*q**2 + 7*q - 20. Let c be (-8)\/(-6)*9\/4. Is y(c) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 3*c**2 + 180*c - 6053. What is q(-84)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -179\/3 + 61. Let a(n) be the third derivative of -11*n**2 - 1\/60*n**5 + 0 - f*n**3 - 5\/24*n**4 + 0*n. What is a(-6)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + (41 - (26 + -3)).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**10\/p)\/(p\/(p\/(p\/p**(-12))*p)))\/((p\/p**(-1\/3))\/p**0) assuming p is positive.\nAnswer: p**(-13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 o when four letters picked without replacement from {a: 4, o: 10}.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 3*h - 2 - 1)*(-9 - 5 + 8) as v + n*h and give v.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-14)*j**(2\/11)*j*j*j**(-6)*(j*j\/j**(12\/7))\/j)**(-11\/3) assuming j is positive.\nAnswer: j**(1427\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 45491?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 + 16*v - 67. Let h be a(32). Let y = -426 - h. What is the highest common divisor of 17 and y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1535863 is divided by 313?\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -61*t + 91. What is r(-2)?\nAnswer: 213","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of -3*i**4 - 7*i**3 - 3*i**2 + 3*i - 35. Solve w(l) = 0 for l.\nAnswer: -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 14. Let q = d - 8. What is the nearest to q in -5, -0.3, -5\/6?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**2 - 2*w + 2*w)*(2*w**3 + 2*w**3 - 6*w**3) + 0*w**5 + w**5 - 2*w**5 - 168*w**5 - 99*w**5 - 102*w**5.\nAnswer: -366*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (72\/(-240))\/((-3717)\/138 + 27).\nAnswer: -23\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-605)\/(-6) - 15\/(-90) a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-22*a - 17 + 17)*(-8*a**2 - a**2 - 4*a**2) + 0*a**3 - 2*a**3 - a**3 as l*a + j*a**2 + u*a**3 + f and give u.\nAnswer: 283","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 324 - -3330?\nAnswer: 4054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of 0*p**2 + 5\/3*p**4 + 19 + 1\/42*p**7 - 5*p - 1\/15*p**6 - 2*p**3 - 7\/20*p**5. Suppose c(i) = 0. Calculate i.\nAnswer: -3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -14*u**2. Let g(j) = -56*j**2. Calculate 6*g(a) - 22*h(a).\nAnswer: -28*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -97*g - 5. Let b(v) = 286*v + 17. Calculate -4*b(f) - 11*k(f).\nAnswer: -77*f - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2001 - 2102022?\nAnswer: -2111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92523 - 27829 = 14*v. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/2)\/(-6 + (2 - -3)). Let w = 1\/12 + -19\/84. Put m, w, -3 in decreasing order.\nAnswer: w, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20817?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1c (base 14) in base 6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -60*i*m**2*n**5 - 7*i*m**2*n**2 - 1113*i*n**3 + i*n + 2*m**2*n**2 - m**2 + 75*n wrt n.\nAnswer: -3600*i*m**2*n**2 - 6678*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*g**(2\/15)*g))\/((g\/(g**(4\/5)\/g))\/g))**(-16)\/(((g*g**0)\/g)**50*(g*g**(1\/10))\/(g*g**(3\/8)\/g)) assuming g is positive.\nAnswer: g**(2473\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 22 = -4*y - 10, -y = -2*t + 23. Differentiate -10*z + t*z - 26*z + 13 - 62 with respect to z.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/(-18))\/(2\/42). Suppose 4*b + 33 = l*b. Suppose -3*c + 4*v = -107, -3*c = 2*c + v - 209. What is the remainder when c is divided by b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1729)\/(-494)*48\/(-42)*-8?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -36? (a) 17 (b) 2 (c) 5 (d) -1\/3 (e) 571\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**3 - 84592*o**2 + 21292820*o - 1347997304.\nAnswer: 4*(o - 20894)*(o - 127)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -303\/37 at most -2537\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -8317, -8335, -8355, -8377, -8401, -8427, -8455?\n\"Answer: -w**2 - 15*w - 8301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64 - 62 + 96*i + 1462 - 1336.\nAnswer: 96*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*x - 29*x + 9 - 18*x**3 + 21*x**3.\nAnswer: 3*x**3 - 17*x + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -2\/51, -4, 2 in descending order.\nAnswer: 6, 2, -2\/51, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/7 (b) -24.3 (c) -5 (d) -6 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 17. Suppose -2*h = -0*h + 5*y - 18, 3*y - 10 = -h. Suppose -533 = -4*i - 2*t - 73, -i + 101 = h*t. What is the highest common factor of j and i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -43 - -44. Suppose -f = y - 0*y - l, -3*y + 5*f + 11 = 0. Solve 9 = q + 3*w, -y*q + w - 4 + 1 = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/383 >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126 = -2*z - 42. Let m = z - -88. Solve 2 = -m*d - 18 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -196*r**5 - 1848*r**4 + 88912*r**3 + 1053536*r**2 - 623616*r + 90112 = 0.\nAnswer: -16, 2\/7, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**2 - 6*x + 12. Let l be o(3). Let y = 117 - 114. Let 6*z**l - 10*z**2 - 7*z**3 - 2*z**4 - 13*z**3 + 2*z**y = 0. What is z?\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(9072) - (sqrt(9072) - (sqrt(9072) + -1 + sqrt(9072))) - sqrt(63) - sqrt(252)*2)*2)**2.\nAnswer: -456*sqrt(7) + 90976","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 + 6*x - 4. Let f be h(-7). What is the smallest value in 8, 5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 42 or 6504\/17?\nAnswer: 6504\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -6. Let s(l) = 2*l + 12. Let b be s(-6). Suppose b = -4*a - z + 8, -z - d = 2*a - 4. Calculate the greatest common divisor of 15 and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25399 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1215\/(-72) + 3\/(-24).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 6, 2\/7, 1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 10*z + 16. Let q be -18 + 16 - (-11 - z). Suppose n - 363 = -2*n. What is the highest common factor of n and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a meter in centimeters?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -16532033 rounded to the nearest 100000?\nAnswer: -16500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8 or -357.5?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 10 = x. Let l = -3 - x. Let b = -39 + 38.9. Put l, 5, b in increasing order.\nAnswer: b, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.5 + 2. What is the third biggest value in y, -1\/5, -1\/8?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pdpbyypdpbpbpppbbdpy. Give prob of picking 2 d.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 9 + -5 + (-4 - (0 + -3)). Suppose -x*i + 5*u + 804 + 122 = 0, 1228 = 4*i - 5*u. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-6)\/10)\/((-47)\/((-60160)\/1344)))\/((-3)\/(-42))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 7, 0, -13, -32, -57?\n\"Answer: -3*s**2 + 2*s + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-20)\/(-35) + (-180)\/(-28). Suppose -21 + 7 = -n. What is the highest common divisor of q and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 64821, 66724, 68627, 70530, 72433?\n\"Answer: 1903*r + 62918","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 62 + -102. Is -2 at most w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -176.98 + 172. Let u = -0.02 + l. Which is the closest to 1? (a) -1\/4 (b) 2\/7 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*c**3\/7 + 20340*c**2\/7 - 43584*c\/7 + 6224\/7 = 0.\nAnswer: 2\/13, 2, 389","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2352 and 3672.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.45 + -0.45000053. Round w to seven dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*m = 50 + 40 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {w: 1, t: 4, i: 1, h: 2, p: 3, c: 1}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*b**4*w**2 + 3520*b**4 + b**2*w**2 + 3*b**2*w - 170*w**2 - 2*w wrt b?\nAnswer: -48*b*w**2 + 84480*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 20 - -430551?\nAnswer: 431011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -3*o**2 - 16*o + 12. Determine d(-8).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15238981 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 23\/(-5) - (-11)\/(165\/(-6)). Put w, -3, 2 in ascending order.\nAnswer: w, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20 divided by -54967\nAnswer: 20\/54967","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of 10939*n**4\/4 + 13*n**3\/3 + 4*n**2 - 2. Suppose 0*l - 5*l - 40 = 0. Let q be r(l). Round q to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 26 = -5*m + 4*d, -4*m + 23 = -d. What is the lowest common multiple of 58 and m?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 0*s - 5*s - 327, -5*s + 219 = 3*h. What is the lowest common multiple of 33 and h?\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - -2 - 1)\/1. Solve -p + 3*p - 6 = t for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 22\/3 (b) -0.2 (c) -4\/5 (d) 0.2 (e) 21\/5 (f) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -5*w + z - 0*z, 3*w + 4*z = 37. Suppose -5*i + 13 = -2*a, 2*i + 3*i - w = 4*a. What are the prime factors of (15 + a)*(-65)\/(-26)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131*j = -154*j. Let x(t) be the third derivative of j*t + 0 + 6*t**2 + 5\/6*t**3 - 1\/24*t**4. What is x(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 4*d - 60. Is p(16) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than 2\/417165?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 103 + -174 - -48 - (14 - -1)\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -104, 33, 170, 307, 444, 581?\nAnswer: 718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/17, -0.3, -0.04, 0.1, 1\/21?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 290217 is divided by 142?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -55*u + 687. Let n be t(72). Which is bigger: -13095\/4 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 36780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 0*o = -g - 8, 19 = -3*o - 5*g. Let z = 36 + -9. Let a = o + z. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -34.334 - 2.666. Put -0.4, 4\/13, t, -3 in descending order.\nAnswer: 4\/13, -0.4, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-9)\/(-6) - 2\/4)*(16 + 14). Solve 2*w = w - 5*s - 18, -5*w = -5*s - j for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (17 - 19) + -4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 - 7*j**2 + 8*j + 2. What is m(-6)?\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-9)*6\/12 - 7154\/(-126). Solve 178 = b*g + 7 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 - 19*g + 7. What is o(-20)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*i + 131 = 239 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (32 + -27)*(2 + -1). Suppose 2*v = 2 + 2, -o = -y*v - 1223. Suppose 0*f + o = 9*f. List the prime factors of f.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + 2 + 4 + -5. Suppose d - m*x = 2*x + 80, 3*x = 4*d - 252. What is the highest common divisor of 15 and d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -606*u + 606*u - 49*u**2 - 2*u**4 + (3 - 3 + 3*u)*(2*u**3 + u**3 - u**3) to the form z*u + f*u**3 + n + k*u**4 + h*u**2 and give h.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z**(1\/13)*z))**(-26)*(z**(-2\/3)*z)**(-21))**(-2\/77) assuming z is positive.\nAnswer: z**(10\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.74533 * 0.07\nAnswer: 0.0521731","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (146\/(-365))\/(8*(-4)\/(-10)). Put -0.5, 9.6, -1, c in increasing order.\nAnswer: -1, -0.5, c, 9.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/88*-22*12\/9.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 391 + -156. What is the hundreds digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84878.\nAnswer: 2, 31, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-7 + (-108)\/(-10))\/(6\/330). Calculate the greatest common divisor of n and 323.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4, 22, -26, 8, -17?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*j**3*o + 5*j**2*o**2 - j**2*o + 5*j**2 - 24*j*o**2 + 678*o**2 wrt j.\nAnswer: -12*j*o + 10*o**2 - 2*o + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 s when two letters picked without replacement from scscduxxo.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1381 + 3916 = -296*u - 3879 for u.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, o: 1, n: 1}. Give prob of picking 1 r and 1 o.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, s: 1, w: 1, t: 1, k: 2, x: 2}. Give prob of picking 1 t and 1 x.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/((-63)\/(-14)))\/((-240)\/(-10)).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 214871823 and -0.622.\nAnswer: 214871822.378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1133557817?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 68704 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 641213 + -14957.765.\nAnswer: 626255.235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kgkvkykmkkkgikv. Give prob of picking 1 k and 1 g.\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -5*m**2 + 3*m - 36. Let s(z) = -3*z**2 + z - 16. Determine -4*c(t) + 9*s(t).\nAnswer: -7*t**2 - 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 495870213 to the nearest integer?\nAnswer: 22268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 2 + (3 - 7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16*k**6 + 589*k**5 - k**4 - 7598619*k**2.\nAnswer: -1920*k**3 + 35340*k**2 - 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22*((-6)\/(-11))\/(188\/517).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 371 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-10)\/((-2 + 1)*-1). Let l = -7 - p. What are the prime factors of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 347009 (base 10) to base 5\nAnswer: 42101014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1646467 is divided by 176.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*f**3*h**4 + 9022*f**3*h + 370824*f**2*h**4 + 300*h**2 wrt h?\nAnswer: 216*f**3*h + 8899776*f**2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 945261.\nAnswer: 3, 127, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 38, 143, 310, 533, 806, 1123, 1478, 1865?\n\"Answer: -g**3 + 37*g**2 + g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -0.3 (c) -168\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 2) to base 13\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 621*(22 + -5 + 5)?\nAnswer: 2, 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3168 and 926442?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -145213.7 times -0.2?\nAnswer: 29042.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21754?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-552)\/1449)\/(96\/(-196))?\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 + 4*m - 2*m - m + (-m + 4*m - m)*(-1 + 3 - 1) in the form z + x*m and give z.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -36 - -23. Let i be h\/2 - 4\/(-8). Let y(v) = 2*v - 1. Calculate y(i).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7268 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 2*c + 4. Let f be r(6). Let w be 2 - (f\/(-4) - -1). Suppose 5*g - 18 = -2*t + g, -4*t + 5*g - 3 = 0. Is t at least as big as w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + 54504?\nAnswer: 54500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 AM and 2:51 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 + 31*l**2 + 75*l - 3. What is the remainder when x(33) is divided by 143?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 - 6*k**2 + 18562*k + 37134. What is p(-2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1214502894 divided by -37631?\nAnswer: -32274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 20041111 (base 8) in base 11?\nAnswer: 2416aa0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 93 - 93. Suppose 1615 = 5*h + 3*m, p*h - 4*h + 5*m = -1292. Is 19 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(81)*-6)\/(sqrt(24)\/(sqrt(24)\/sqrt(3))).\nAnswer: -18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/80*(-4)\/(-12).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.303425 micrograms in milligrams?\nAnswer: 0.000303425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 2*a**5\/11 - 92910*a**4\/11 + 278716*a**3\/11 - 185808*a**2\/11 = 0.\nAnswer: 0, 1, 2, 46452","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*d + 1680 = 57*d + 49*d. Let f(x) be the first derivative of -13 + 5\/3*x**3 + d*x - 20*x**2. What is a in f(a) = 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - (-20 + 2 + 15)) + (18 - -2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -23 * 7222036.\nAnswer: -166106828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + 6.3. Let u = 0.15 - 0.05. Let t = 0 + 0.4. Which is the nearest to u? (a) t (b) -0.3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(200)*-2.\nAnswer: -40*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 9264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*o - 12883 = -3402. Suppose 3*l + 54 = 4*s - o, 4*s = -3*l + 535. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 236 - 137. List the prime factors of x.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 80\/11 - 78\/11. Which is the fourth biggest value? (a) 0 (b) 7 (c) f (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7876\/10*60\/24. What is the highest common divisor of v and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -z**3\/6 + 85*z**2\/2 - 2688*z - 8192\/3 = 0.\nAnswer: -1, 128","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (736\/460)\/(8\/(-20)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.11 + 19.89. Let q = j + -19.999929. What is q rounded to five dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aasslllla. Give prob of sequence lsaa.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2427 is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 5801?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 8 = -0*t - 4*p, t - p + 5 = 0. Let n = 0.4 - -1.6. Sort n, -0.02, t in ascending order.\nAnswer: t, -0.02, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 88 * 0.02.\nAnswer: 1.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(704) - (sqrt(704) + -2 + 3)) + -1 + 0 + sqrt(704) + (sqrt(704) - (5 + -2 + sqrt(704)) - sqrt(704)) + 3*sqrt(704)*4)**2.\nAnswer: -1344*sqrt(11) + 101425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -91098, -182452, -274308, -366918, -460534, -555408, -651792?\nAnswer: -749938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, -100, 6 in descending order.\nAnswer: 6, 1, 0, -100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 219 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73*d**2 - 117*d + 12*d**2 - 1 + 123*d.\nAnswer: -61*d**2 + 6*d - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 595 and 5355.\nAnswer: 5355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 4*k = 119796. Suppose -4*z = k + 25115. Let r = z + 220337\/16. Calculate the common denominator of r and 83\/14.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 0, -3*l - 16*t + 25500 = -11*t. Suppose -4*q = o - 4047, -5*q - o - 3441 = -l. What is the hundreds digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1 - -168)\/(2\/2) is divided by (-411)\/(-12) - (36\/16 - 2).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -8*m + 10*m + 10*m + 19. Is q(9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 1. Let l(r) = -7*r**3 - 6*r**2 - 6*r + 4. Let d(u) = -2 + 1 + u**3 + 0*u + u + u**2. Let s(p) = g*d(p) + l(p). Differentiate s(i) wrt i.\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 521 by 6.\nAnswer: 521\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of -i**5\/5 - 5*i**4\/2 + 11*i**3\/3 - 67. Factor c(q).\nAnswer: -q**2*(q - 1)*(q + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -214*l + 178*l - 2*l**3 + 1462 + 36*l.\nAnswer: -2*l**3 + 1462","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -11*h**3 - 2*h**2 - h + 2. Calculate j(1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 - 55*h**2 + 49*h + 73. Determine y(54).\nAnswer: -197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -5 * 1549\nAnswer: -7745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - (6 + 3 - 6)) + -18 - -9?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 12:26 PM?\nAnswer: 10:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 - -9. Let s = 9 + z. What is the second derivative of k**4 - s*k + 30 - 30 + 0*k**4 wrt k?\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1136.22 + 1040. Let d = 1.78 - t. Let p = -97.9999914 + d. What is p rounded to six dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 2*k**2 - 6*k + 5. Let y be (-3)\/12*6*(-20)\/(-6). List the prime factors of a(y).\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w**5\/7 - 8406*w**4\/7 + 136490*w**3\/7 + 24409566*w**2\/7 + 48376028*w\/7 + 3444480 = 0. Calculate w.\nAnswer: -45, -1, 64, 4186","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -36*u**3 + u**2 + 8*u + 18. Let s be 8\/(-32) - 66\/24. What is the units digit of j(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, v: 1, h: 1, q: 1, x: 1}. What is prob of picking 1 k and 1 v?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 12 = 3*i, 59*i - 14 = 3*m + 63*i for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 5*d - 28 = -u, 2*u = d + 7. Is u < -3\/32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23570980?\nAnswer: 2, 5, 1178549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 77533 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -l + 7. What is the nearest to -1 in -4, l, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9399 divided by -211?\nAnswer: 9399\/211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 1 + (764 - 752)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 853 + -599. Round t to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmsmmsmbbmmsmsmmss. Give prob of sequence bm.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 + 6*m - 7. What is the remainder when 33 is divided by o(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*c + 2*i + 44 = -20*c, 56 = 2*c + i. Do c and 37 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -17 (b) 17 (c) -5 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 67 (b) 0 (c) -5 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 9158?\nAnswer: -9158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1753, -7156, -16207, -28906?\n\"Answer: -1824*t**2 + 69*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 7272 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 22125*b**2 - b. Let d be g(-1). Suppose d = -f - f. Let u = f + 21063. Round u to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1503066 to the nearest integer?\nAnswer: 1226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-96)\/8*904\/(-339).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 995, 1924, 2853, 3782, 4711, 5640?\n\"Answer: 929*u + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 147\/42 - (-1 - -4) - 4?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001864 to 6 dps.\nAnswer: 0.000186","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/676 and 17\/151528.\nAnswer: 1969864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 4*a - 11 = -3*v, 2*a = -5*v. Let h = v + -1. What is the units digit of (0 + 0 + h)*5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18709 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-2\/57)\/(c**5\/c))\/(c**(-7\/2)*c*c**(-2\/7)))**(5\/3) assuming c is positive.\nAnswer: c**(-4985\/2394)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -4498, -8839, -12952, -16843, -20518?\n\"Answer: -p**3 + 120*p**2 - 4694*p + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/70)\/((-18)\/14).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 2*o**3 - 18*o**2 - 8*o + 22. Let b be h(9). Is (-81830)\/b + (-2)\/(-5) + 0 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 31 (b) -0.9 (c) -36 (d) -8 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1584067 and 58.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/2 and (7 + -17)*(-44)\/(-890)?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 11:03 AM?\nAnswer: 6:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -2*t**2 - 4*t - 1. Let p(r) = r**2 + r. Let k be ((-2)\/(-8))\/(29\/(-116)). Let l(i) = 2*i + 7. Let b be l(-5). Determine b*p(j) + k*a(j).\nAnswer: -j**2 + j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 169, 372, 709, 1174, 1761?\nAnswer: 2464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1740979 - -2885506. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3297137?\nAnswer: 67, 49211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3, 2, -51?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 6:34 AM?\nAnswer: 3:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 848*f - 852*f + 20. Suppose -2*o = 2*o - 20, -3*y - f*o = 59099975. What is y rounded to the nearest one million?\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5437283 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + (-11 - 23) - 0?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 48 = -2*w, -2351*w - 51 = -2*y - 2318*w + 37 for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2742810 < 2742810?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-22)\/s**(-3\/22) assuming s is positive.\nAnswer: s**(-481\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 + 11*q**2 - 9*q + 17. Let b(c) = c**2 + c + 11. Let h be b(0). Let k be z(h). Let w = k - -119. List the prime factors of w.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 17826, 17825, 17824, 17823?\n\"Answer: -t + 17827","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 534923212, 534923211, 534923210, 534923209?\nAnswer: 534923208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**4\/2 + 3093*b**3\/2 + 1547*b**2.\nAnswer: -b**2*(b - 3094)*(b + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*x - 42*x**2 - x - 39*x**2 + 68*x**2 - 6 to the form w + d*x**2 + v*x and give d.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 819?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12\/(-9)*90\/(-40). Let x(r) be the second derivative of 0 - 1\/4*r**5 + 1\/2*r**2 + 0*r**4 - r + 0*r**n. What is the derivative of x(h) wrt h?\nAnswer: -15*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 + 8*w + 13. Let p be y(-7). Calculate the highest common factor of 54 and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -39465*h**5 + 2*h**4 + 11*h**3 - h + 229107.\nAnswer: -789300*h**3 + 24*h**2 + 66*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 3*k + 5 = 0, -3*n + 5*k = 2*n - 10. Let u = n - -1. Which is smaller: u or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10836519, 10836518, 10836517, 10836516, 10836515, 10836514?\nAnswer: 10836513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 517 and 242200541?\nAnswer: 517","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2779, 5302, 7837, 10384, 12943?\n\"Answer: 6*g**2 + 2505*g + 268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*(3 + -4))\/1 - -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1*(-9 - -1 - -4 - -6). Let r(g) = -g. Let v(b) = 2. Give z*v(s) - 2*r(s).\nAnswer: 2*s - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 + 12*i**2 + 15*i + 1. What are the prime factors of g(-7)?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6 and 0.014.\nAnswer: 0.084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -9 (b) -0.640599 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 + 7. Let m = 4 - r. Suppose 296 = m*t - 188. Is t a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1710468?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001742968 to 5 dps.\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28\/5*(5 - (-4 - -4))?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 4300?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 38995 (base 10) to base 14\nAnswer: 102d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/99*3\/2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2474 times 417?\nAnswer: -103.1658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 18*r**3 + 3*r**2 + 4. Let t = 48 + -50. Let z(a) = 17*a**3 + 2*a**2 + 3. Let x(n) = t*k(n) + 3*z(n). What is x(-1)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(32) - sqrt(128)) + (sqrt(2) - (sqrt(128)*-4)**2).\nAnswer: -2048 - 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10117)\/(-67)*2\/(3 - 1). Suppose -3*b + 541 - n = 0. What is the remainder when b is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 62819500 by -251278.\nAnswer: -250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(144))\/sqrt(4) + sqrt(36))\/(-1*sqrt(24)\/sqrt(2)).\nAnswer: -2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8139.78 - -196.16708.\nAnswer: 8335.94708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 389860416?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 294010985 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3474 (base 14) to base 10.\nAnswer: -9118","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2484 and 17989749.\nAnswer: 621","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 235235 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -23676707*o**3 - 15839877 wrt o.\nAnswer: -71030121*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -5, -1\/5, 0, 351\/8?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -13*c - 62. Let f(r) = 5*r + 21. Determine 11*f(z) + 4*o(z).\nAnswer: 3*z - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(171)*1)\/sqrt(9) + -1)**2 + (-1*sqrt(608))\/(-2*-1*sqrt(2)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 4069154, 8138305, 12207456, 16276607?\n\"Answer: 4069151*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, k: 1, u: 2, q: 2, y: 7, o: 3}. What is prob of sequence oqo?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 PM and 3:08 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - -1)*(-3)\/6 + 0. Solve f = -x - 4, -4*w - 4*x - 20 = -0*x for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 5*(3*(sqrt(243)\/(sqrt(18)\/sqrt(2)) + sqrt(108)\/sqrt(4) + 0 + (-4*(sqrt(324) + sqrt(324) + 2*sqrt(324)))\/sqrt(12)))**2.\nAnswer: 238144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/5 + (-4)\/(-10). Let t(b) = -b + 32. What are the prime factors of t(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.015 and -3266.3.\nAnswer: -48.9945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(-2 - (-6 + 3)) - -4212 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2357 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 60*t + 3*t**2 - 5*t**2 + 249*t + 228 - 229 - 40*t as a*t + z*t**2 + o and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -15*c**2 - 5. Let q(x) = -22*x**2 - 8. Suppose -2*y + y - 8 = 0. Calculate y*r(o) + 5*q(o).\nAnswer: 10*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of 5*v**2\/2 + 1. Suppose -4*x - i + 0*i - 6 = 0, 3*x + 9 = -3*i. Calculate k(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-1)*o*o*o)**9)**(3\/4)\/(((((o**(4\/5)\/o)\/o)\/o*o)\/(o\/o**4))\/(o**(2\/5)*o*o**(-2\/5))) assuming o is positive.\nAnswer: o**(389\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1506*z**2 - 1067?\nAnswer: 3012*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 9*l = 3*x + 33, -27 = -5*l - 2*x. Suppose l*u = -6*u + 78. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3)\/2)\/((-6)\/56). Suppose -4*u + d = -2*h, -2*u + 7 = u + 2*h. Let g(l) = 4*l + u*l + l - 6*l. Let f(c) = c. Determine g(f(m)).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 2\/5 (b) -21967 (c) -26 (d) -0.3 (e) -5 (f) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w**3 + 6*w**3 - 43*w**3.\nAnswer: -36*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) -0.01 (b) -2\/3 (c) 0 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 13 - ((-6)\/(-2) - 1). Suppose 0 = -2*h + 5*g + 79, 5*g + 4 = -y. Is h a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 70\/(-30) - (-1)\/(3\/(-2)). Put -4, 5, 2, p in descending order.\nAnswer: 5, 2, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 2265836?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 18*j = 147819. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -2*u + 9. Let r be i(6). Let l be ((-24)\/432*9)\/((-2)\/4). Sort r, l, -5 in decreasing order.\nAnswer: l, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/(-4) + 385\/70. Suppose 4*s = m*s - 111. Solve -3*g + 21 = 3*t, -5*g - 14 + s = t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002134 rounded to 5 decimal places?\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.05 in -0.22, -5\/4, 1\/128?\nAnswer: 1\/128","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 354 + -222. Suppose 3*r - j = 309. Differentiate -166*q**4 + r*q**4 + 3*q**3 - 3*q**3 + 22 with respect to q.\nAnswer: -76*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 2*d - 2. Suppose -5*n - z - 1371 = 0, 3 = 5*z + 8. Let h = n - -276. What is i(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13324, -26518, -39714, -52912, -66112, -79314?\nAnswer: -92518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133*v - 2228 = -1164 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 3*j - 25 = 0, 3*p - 5*j - 11 = 4*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x + 7 + 3. What is the second smallest value in 8, -0.3, x?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -249*h - 497. Let z be m(-2). What is the closest to z in -2, -1\/3, -15\/4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a minute in milliseconds?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -33 - -a8790a?\nAnswer: a87887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 2*z**5 + 38*z**4 + 150*z**3 - 446*z**2 - 2960*z - 2400 = 0.\nAnswer: -12, -5, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 124899\/16590 + (-4)\/140?\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 860?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6821 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(364)*1)\/sqrt(7))\/(sqrt(80)\/sqrt(5)) + -5)**2.\nAnswer: -5*sqrt(13) + 113\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -15*k**2 + 2*k + 21943. Let s(n) = 5*n**2. Give d(s(a)).\nAnswer: -375*a**4 + 10*a**2 + 21943","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 131, 258, 385, 512?\nAnswer: 639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 149 divide 494205?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 82219016279 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppmb. Give prob of picking 1 b and 1 m.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20538 and 630?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10*(-18)\/(-150))\/(3*(-2)\/100)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*k**3 + 3*k**3 - 3*k**3)*(-20 - 3*k + 13 - 11) as j*k**3 + l*k**2 + d + y*k + f*k**4 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 - (-3 + 1)\/(-2)*1. Let j be c*(-3 + (0 - -2) - -2). Is -2 >= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 947934.\nAnswer: 2, 3, 13, 4051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.469 + -245.531. Let s = 245.9671 + i. Round s to three decimal places.\nAnswer: -0.033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 2*y**2 - 14*y + 29. Let t be p(4). Suppose -3*d + l + 3*l + 24 = 0, 0 = 2*l + 6. Solve 0 = d*k - x - 3*x - 4, 0 = -2*k - t*x - 5 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 2*q**3 + 8*q**2 + 78*q + 378. Give g(-5).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -52020 divided by -189?\nAnswer: 5780\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i = 2*i - 642. What is the tens digit of i\/(-7) - 18\/63?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.043596 + -416.183596. Round q to zero decimal places.\nAnswer: -416","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 13*x**2 + 30*x - 126. Let k(c) = -3*c**2 - 8*c + 31. Give -2*j(t) - 9*k(t).\nAnswer: t**2 + 12*t - 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 + 7*q**2 + 9*q - 10. Let k be n(8). Let l = -4.1 + 4. Which is the nearest to k? (a) 4 (b) l (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -230375 rounded to the nearest one thousand?\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -32 - 2111330422?\nAnswer: -2111330454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 18768 times -50.6\nAnswer: -949660.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*v + 15*v**3 + 19*v**3 + 29*v.\nAnswer: 34*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2*u + 1. Let w be o(-7). Suppose -4*l + w = l. What is the units digit of -1*l\/(-5)*5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2*r - 5. Let q be w(5). Let o = 11 - 8. Let v = o + -1. What is the closest to 0.1 in -2\/7, q, v?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -41 - -62. Let v = 23 - g. Solve -6 = -v*i + 4*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 27 - 258. What is the remainder when x is divided by 23?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 482*p + 119 - 886 - 483*p in the form d*p + s and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 68770 and 230?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide (3\/1 - 5)\/(6\/37968*-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115716 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: Suppose 4*n - 451 = -7*n. What is the remainder when n is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 447279129 and 1581?\nAnswer: 1581","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40 divided by 1.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13303122231 + 3031?\nAnswer: -13303113200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhbbhhhhbbbyh. Give prob of sequence ybb.\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 6*x. Let y(m) = -2*m + 270. Give j(y(l)).\nAnswer: -12*l + 1620","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22348 - 10900 = -2078*j for j.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -30? (a) 69 (b) 0.03 (c) -1.9 (d) -11\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*x**2 + 3*x**2 - x**2 + (x + 0*x - 3*x)*(1 - 2*x - 1) + (-15*x + 4*x - 2*x)*(0*x + 0*x + 5*x) to s*x + q + y*x**2 and give y.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-7450888)\/912)\/((-2)\/12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 4*a - 1. Let f = 1 - 0. Let o be l(f). Suppose -o = -2*s + s. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11914894.75000141 - 11914895. Let u = -0.25 - f. What is u rounded to seven decimal places?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 at least as big as 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 29754 + -29751. Let t(y) be the first derivative of 8 + 1\/4*y**4 + 4\/3*y**n + 1\/2*y**2 - 4*y. Determine t(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 12500200 to the nearest 100000.\nAnswer: 12500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 348 - 346. Let -6\/7*h**3 + 4*h**u - 40\/7*h + 16\/7 = 0. Calculate h.\nAnswer: 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 1689.471 milliseconds?\nAnswer: 0.0000195540625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 47950?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 179494 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b - 53. Let h(o) = 5*o + 211. Give -4*h(j) - 18*k(j).\nAnswer: -2*j + 110","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of 1\/5*l**6 + 0*l**2 + 0 - 5*l - 1\/3*l**4 + 0*l**5 + 0*l**3. What is the third derivative of h(n) wrt n?\nAnswer: 144*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*f - 4*g, 4*f - 14 = 3*f + 4*g. Let h(i) = -3*i - 8 - 9*i**2 - i**3 - i**2 + 6*i**f. What are the prime factors of h(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1008493 rounded to 3 dps?\nAnswer: 0.101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * 0.011536595.\nAnswer: 0.011536595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 - -174. Let c = q + -147. What is the remainder when c is divided by (-4)\/10 + 44\/10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 470, 1669, 2864, 4055, 5242, 6425, 7604?\nAnswer: 8779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o = -9*o + 36. What is the third derivative of -3*x**3 + 104*x**o + 147*x - 13*x**4 - 147*x wrt x?\nAnswer: -312*x - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2)*(-2 + 2 + 1)*(8*r**5 - 3*r**5 - 3*r**5).\nAnswer: -4*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*r - r - 17*r**4 + 15*r**4 wrt r?\nAnswer: -24*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -159.2 and 54.82?\nAnswer: -8727.344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*i**5 - 8*i**4 - 24*i - 46\/3*i**3 + 36*i**2 + 16\/3 = 0. Calculate i.\nAnswer: -2, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 124 + 99 = 0. Let r be (1 + d\/1 + -4)*1. Solve r*v = v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10154973 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 7 = -4*j. Let b be (j + -1)*4\/5. Is (-52)\/b*(2 - 1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 524*k + 1. Let n(j) = 3*j**2 - 16. Give w(n(g)).\nAnswer: 1572*g**2 - 8383","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 2*n + 1 = -6, 0 = -3*n + 3. Suppose 3*b - 19 = 5*c + 4, -i*c - 13 = -2*b. Let l = -49 + c. What is l rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/456340 and 79\/18436136.\nAnswer: 92180680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 0 + (26 - 32 - 1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*u**3 + u**3 - 7*u - 8*u**3 + 21*u**3.\nAnswer: 33*u**3 - 7*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the second derivative of c**6\/105 + 23*c**5\/70 + 143*c**4\/42 + 121*c**3\/21 - 128*c. Suppose d(q) = 0. What is q?\nAnswer: -11, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 4*r - 106318, 2*r + 19397 = -3*y + 72547. Does 16 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of 291*v**7\/14 + 53*v**4\/6 + v**3\/3 + 451*v**2 + 2*v - 4. Find the second derivative of p(d) wrt d.\nAnswer: 52380*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 376, 366, 340, 292, 216, 106?\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.008 * 4\nAnswer: -0.032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 24\/20*(-10)\/(-6). Let w(k) = -6 + z - 3*k + 2*k + 7. Give w(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.039863 to 3 decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7 and -3.7?\nAnswer: -25.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide (34\/(-4))\/(9\/(-18))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19 + 31. Suppose 4*w - q = 4. Let z = 20 + -18. Solve -z - 2 = -w*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 2 - 1 - w - 4*w**2 + 3*w**2 - 2. Let z(b) = 5*b**2 + 2*b + 4. Suppose -4*k - 4 = 12. Calculate k*j(s) - z(s).\nAnswer: -s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3694 + -3692. Solve b = -4*x + 4 + z, 5*b = -2*x - 6 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 217789224973 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10268*p**6 - 237*p**4 - 5*p**2 - 3233*p + 3?\nAnswer: 1232160*p**3 - 5688*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/((-18)\/(-2) + -5 - 6). Solve 3*r - 3*z + 27 = 0, 0 = 4*r + i*z - 0*z + 1 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91*b - 1260 - 115 = -184*b. Let 10\/11*w**4 + 2\/11*w**b + 0*w - 18\/11*w**2 + 0 + 6\/11*w**3 = 0. Calculate w.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a milligram in nanograms?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13198 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*u + 0*u + 6*u)*(0 - 10 + 2)*(-3 + 4 - 4)*(-2 - 2 - 1)*(-2 + 4 - 4) to the form x*u + o and give x.\nAnswer: 1440","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 249443?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 5, g: 8}. Give prob of sequence rgrr.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of -x**6\/60 + x**5\/20 + 5*x**4\/24 + 5*x**3\/6 - 17*x**2. Is s(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*y = 35*y - 70. What is the remainder when y is divided by 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13514 (base 8) in base 12?\nAnswer: -3550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3128641 - 1?\nAnswer: -3128642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1879369 to the power of 1\/2, to the nearest integer?\nAnswer: 1371","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*j + 8 = 2*l + 19*j, -5*l + 3*j + 22 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 989872?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*b + 21*b + 3. Is b != 3\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51214844.\nAnswer: 2, 659, 19429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 273 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 195964.\nAnswer: 2, 48991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3638722?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rljgrjmp. What is prob of picking 2 j and 1 l?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10\/11*b**2 + 24\/11 - 16\/11*b + 2\/11*b**3.\nAnswer: 2*(b - 6)*(b - 1)*(b + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a microgram in nanograms?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 2*r + 4*r + 74 = 0, -194 = -5*v - 4*r. Let o = v + -58. What is the remainder when (o - 6)*(-2 + 1) is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 - -13. Let h be 1 + 9\/10 + 5\/50. Suppose 0 = -o + 3*u + 19, -o + 46 = 2*o + h*u. Calculate the remainder when o is divided by a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29425.\nAnswer: 5, 11, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 7591?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1343203.2 months to decades.\nAnswer: 11193.36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74733 (base 9) to base 2.\nAnswer: 1100000100100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13.99 + 15.99. Let x = 3\/4 + -17\/12. Which is the closest to -1\/2? (a) x (b) 0.1 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 7*g**2. Let v(z) = 0*z**2 + 0*z**2 + 4*z**2. Calculate v(l(y)).\nAnswer: 196*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 4 - 13 = 0. Let u = w + -15. Is 12 a factor of 18\/21*(4 - 1 - u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*o + 22*o + 66 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5161 + 12971. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 18\/(-15)*(-5)\/2. Let i be q\/(3 - (-45)\/(-12)). Let w(a) = -a**3 - 3*a**2 + 3*a - 2. Calculate the least common multiple of w(i) and 11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4\/143 - -707\/286. Factor 4*n + 3\/2 + q*n**2.\nAnswer: (n + 1)*(5*n + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2401101 + 41104?\nAnswer: -2304442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -82863*r**3 + 17*r - 554263 with respect to r.\nAnswer: -248589*r**2 + 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 37738 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-4)*(4 - -2). Let d(o) = -38*o + t + 40*o - 1. List the prime factors of d(18).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-32)\/20 - -1)\/((-8)\/10)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 84 + -40. Let x = -38 - -31. Let r = x - -22. What is the remainder when u is divided by r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 u, and 1 p when three letters picked without replacement from pugsqpoqg.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/21 and -1\/2004.\nAnswer: 14028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5739*l - 391086 = -5745*l. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2159538619 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11.712, -3, 0.23, -4\/9 in ascending order.\nAnswer: -11.712, -3, -4\/9, 0.23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of 6 - 5\/2*p**2 + 1\/80*p**6 + 15\/16*p**4 + 0*p + 25\/4*p**3 - 9\/40*p**5. Let i(q) be the second derivative of u(q). Factor i(z).\nAnswer: 3*(z - 5)**2*(z + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -900 + 1638. Suppose -x = -5*z - 0*z + 3*y, 4*z = -4*y + 616. What is the highest common factor of 100 and z?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/(-1))\/(3*(-2)\/24). Suppose -3*d**q - 15*d**5 + 6*d**2 - 40*d - 2*d**4 + 70*d**3 + 14*d**2 = 0. What is d?\nAnswer: -2, -1, 0, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (73472\/(-10))\/(430\/(-2150)) a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -4 (b) -2\/5 (c) 24\/7 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -50869 or -50854?\nAnswer: -50869","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*f + 11*f + 4*f + 12*f.\nAnswer: 5*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1775 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*z - 13. Suppose -6532 = -c - z*c. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 274*d - 10543 - 31 = -162 for d.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -23*q + 20*q - 84, -x - 51 = 2*q for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4 - (-3 - (-7050)\/(-36)). Is q at least as big as 195?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/(-27) + 17\/36. Let w = -0.22 - -1.22. What is the closest to 2\/7 in w, a, -3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119064 is divided by 25?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-0.021.\nAnswer: -0.084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*r = 2*v - 4*r - 16, v + 3*r = 11 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h**3 + 65*h**2 - 93*h + 17. Give r(31).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is o in o**4 - 6129*o**3 - o**2 + 6129*o = 0?\nAnswer: -1, 0, 1, 6129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*k + 2*w - 4 = 31*k - 102*k + 40*k, w + 72 = -36*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/21)\/(-4 + (-20)\/(-6))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/337 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.27919 to one decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 2*u**2 + u - 1. Let a be y(-2). Let l(o) = -o**2 + 13*o - 3. Let d be l(12). Let g = d - a. Let n(i) = -3*i + 4. Give n(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 2*i**2 - 16*i - 16. Calculate n(9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 3\/8 of a week?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-2\/29)\/(n\/((n*n**(4\/7)\/n)\/n)) assuming n is positive.\nAnswer: n**(-304\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -12*z + 33 + 47. Which is the third biggest value? (a) z (b) -1\/9 (c) 1\/10 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j = 159 - 155. What is the second smallest value in j, -1\/40, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 (base 12) to base 11\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 24151 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/5)*o*((o*o**12)\/o)\/o)\/((o*o*(o*o**(8\/3)\/o*o)\/o*o)\/(o*o\/(o*o**(1\/10)*o)*o*o)) assuming o is positive.\nAnswer: o**(47\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6 - 0)\/(2\/(-2)). Let a be 28\/6 - (-14)\/(-21). Suppose -2*f - 326 = -5*p, -4*f = a*p - f - 270. Calculate the highest common factor of p and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) 0 (c) -2\/15 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 238924577?\nAnswer: 37, 6457421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -566, -976, -1430, -1928?\n\"Answer: -22*u**2 - 344*u - 200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-498510)\/(-12033))\/(5\/7)?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3383947 a multiple of 191?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 338\/(-39)*(-66058)\/(-40). Let a = 14307 + b. Calculate the common denominator of ((-6)\/24)\/(15\/(-87)) and a.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssxnsssssnsss. What is prob of picking 1 n and 1 s?\nAnswer: 22\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, 7, 2, -2.\nAnswer: -2, 1, 2, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) + sqrt(26)\/sqrt(2) + -1)*-4 + -6*(sqrt(52) - 3*sqrt(52)) + sqrt(52))*5.\nAnswer: 20 + 90*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1177681 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -7978, -5751, -3524?\n\"Answer: 2227*h - 10205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2747 - -719\nAnswer: -2028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**2*f*f*f*f**8 assuming f is positive.\nAnswer: f**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2215410315?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4097?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 4, -2, 5, -86?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 12, 4, 0 in ascending order.\nAnswer: -3, 0, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -28 + 31.8. Let z = 9 + -8.2. Let g = d - z. Which is the third biggest value? (a) 2 (b) 0.5 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 629b68 (base 14) to base 4.\nAnswer: 30231022200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 0, -5*n + i - 30 = -3*i. Let r be n\/(-8) - 33\/44. Suppose 3*o = 2*x + 210, -219 = -3*o - x - r*x. Calculate the greatest common factor of o and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2 - 9*t + 5. Let p be b(-10). Let m = p - -7. Factor 0 + 10\/3*r**3 - 2\/3*r**m - 2*r**4 - 2\/3*r.\nAnswer: -2*r*(r - 1)**2*(3*r + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 281.22 (b) -5 (c) 1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 392 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 160\/13*w - 2\/13*w**2 + 328\/13 = 0.\nAnswer: -2, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -26 in -0.1, -3, -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = 32*y - 35*y + 6, 2*y = -5*h + 11 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/6 of a year?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -125901 + 125901.0000065361. What is b rounded to 7 dps?\nAnswer: 0.0000065","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {n: 3, a: 4, y: 1}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f - 6*f + 0*f)*(17*f**2 - 17*f**2 + 2*f**4).\nAnswer: -6*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -169*f**2*n**3 - 165*f**2*n**2 - 2*f**2 - 16*f*n**2 + 8453*n**3 - n**2 - 19*n wrt n.\nAnswer: -1014*f**2 + 50718","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -22\/3, 4, -1\/227, -2?\nAnswer: -1\/227","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 612?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2*w**2 - 2*w + 2. Let t be (-2 + -1)*-1 + -13. Let b be t - 7\/((-28)\/(-16)). Let i be (-3 + b\/(-4))*-4. Give l(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**3\/3 - 393080*d**2\/3 + 2575460140*d - 10299744240.\nAnswer: 5*(d - 39306)**2*(d - 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -6 + h**3 - 6*h**2 + 0*h**3 + 2*h + 0*h**3 + 3. Let y be p(5). Let z be 8\/(-18)*3\/y. Sort 0.2, 2, z in decreasing order.\nAnswer: 2, 0.2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -1\/4 (b) 6 (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 16*b**2 + 14*b - 1. Let h be w(-1). Let o(i) = 281*i**2 + i - 2. Is o(h) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/(-128))\/((-451)\/5248)?\nAnswer: 16\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -2*x**3 + x**2 - x + 1. Let w be r(1). Let z = -1112 - -1112. Which is the biggest value? (a) 0.2 (b) z (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d**(1\/2))**(-1\/42))**(-7\/2))**(3\/2) assuming d is positive.\nAnswer: d**(3\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -99\/4 - -24. Let z = 5 + -8. Let l be (6\/9)\/(5\/z). Which is the closest to l? (a) 2\/3 (b) h (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1951, 236, -7, 2, -4 in increasing order.\nAnswer: -7, -4, 2, 236, 1951","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 2 - 5 - -7) + 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * 278\nAnswer: -83.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 6 + 17*d**4)*(2 - 1 + 1) + (0*d + 4*d - 6*d)*((d**2 + 2*d - 2*d)*(-4*d - 3*d + 4*d) - 3*d**3 - 3*d**3 + 4*d**3).\nAnswer: 44*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1288036069 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from {w: 3, m: 15, z: 2}?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/11)\/((-44)\/176). Which is the fourth biggest value? (a) h (b) 6 (c) 5 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 15 = 2*u. Suppose 0 = -p + 72 + u. List the prime factors of p.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 + c + 3. Let n be p(2). Let i(u) = 6*u**2 + 3*u + 5. Let f(a) = a**2 + a + 1. Determine n*i(w) - 5*f(w).\nAnswer: w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15640)\/(-380) - (1566\/342)\/29.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i + 6. Let b be k(-5). Let w be 2*(21\/(-6) + b). Sort 2, w, 0 in ascending order.\nAnswer: w, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/127, 3, 1, -2, 1\/5, -0.2 in increasing order.\nAnswer: -2, -0.2, -2\/127, 1\/5, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/12237, -3, 5, 2\/17, -0.1 in decreasing order.\nAnswer: 5, 2\/17, 2\/12237, -0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 368948?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-8))\/((-561)\/154)*(-192)\/(-336).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/3))**(-39)*(m**(-3\/10)\/m)\/(m\/(m*((m*(m\/((m*m\/(m\/(m\/(m*m**(3\/7)))*m))\/m*m))\/m*m)\/m*m)\/m*m)*m)*((m**2*m)**(-12\/11))**20 assuming m is positive.\nAnswer: m**(-30281\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13587?\nAnswer: 3, 7, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 4}. What is prob of sequence nnnn?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-748)\/(-560) + (60\/(-16) - -3). Let o = q + 3\/14. Let l be 2 + ((-32)\/12)\/(17\/15). Which is the second biggest value? (a) l (b) -4\/5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -4*b - 2. Let f(y) = -3*y - 1. Let w(d) = 8*f(d) - 5*s(d). Let k be (-28)\/70*35\/14. Let i(g) = g. Calculate k*w(o) - 5*i(o).\nAnswer: -o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70*y**2 + 63*y**2 + 70*y**2 - 206*y**2.\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/(-10)*(-30)\/(-18).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/4 + 252\/(-48). Let d(i) = 3*i + 4. Let n be (-2)\/(3 - 5) + 3. Let s(b) = -4*b - 5. Let a(u) = n*s(u) + 5*d(u). What is a(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from bxxbbbbxd?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11040 - 5408. What are the prime factors of r?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 1097 - 408 = -5*l, 1495 = 5*l - k. What are the prime factors of l?\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30989 to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -50212, -50229, -50232, -50215, -50172, -50097?\n\"Answer: b**3 + b**2 - 27*b - 50187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2765 (base 11) to base 15.\nAnswer: -10da","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3531 - -5000. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6\/7 in -10022, 2\/3, 13\/5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57057 + 10*v - 57057.\nAnswer: 10*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of v**5\/140 + v**4\/7 - 9*v**3\/14 - 6*v**2. What is y in o(y) = 0?\nAnswer: -9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 5*i**2 + 2*i - 2. Let j be -1 + 2 - 3 - 0. Let u(r) = -101375*r + 50705*r + 50695*r + 60*r**2 - 25. Calculate j*u(m) + 25*b(m).\nAnswer: 5*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - -1 - -4 - (-5 + -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -606717.3 - -45.8\nAnswer: -606671.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*j - 6*j + 112. Let m(w) be the second derivative of -w**5\/20 - 5*w**4\/4 - 5*w**3\/2 - 11*w**2\/2 + 72*w + 4. Determine m(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a meter in millimeters?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1\/1320 - 28163\/3960. What is the common denominator of -24\/455 and z?\nAnswer: 4095","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9867964 or 9867959?\nAnswer: 9867959","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/9*11\/44?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -15*i**3 - 2*i**2 - 2*i - 1. Let y be v(-1). Suppose 0 = 9*h - y*h + 80. Solve 4*f = -4 + h for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of m**5\/20 - m**4\/6 + m**3\/6 - 9*m**2\/2 + 4*m. Does 7 divide a(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 - 4*h**2 - h. Let p be s(-4). Determine l so that 13*l**2 - 18*l**3 - 5*l**p + 11*l - 6*l + 17*l - 4*l - 8 = 0.\nAnswer: -4, -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 51\/((-549)\/122*(-16)\/(-24))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -7*(3 - 2) + (-20)\/(-2) + 117. Solve -170*s + u = -155*s for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -99 + 0 + (626 - 658) + -1 + 48?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wvl when three letters picked without replacement from lvwwzzw.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2*((-4)\/(-24))\/((-18)\/36)*480\/5\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/7, -4\/7, -4, -1\/9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 235*s + 1092 - 2003 + 5676 = -4870 for s.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Sort -58, 3, -3, 14, -10, -2 in descending order.\nAnswer: 14, 3, -2, -3, -10, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vxviixxvvlixixvxiivi. Give prob of sequence xxxl.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-57910)\/(-40))\/(1\/4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, c: 2}. Give prob of sequence ctc.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.10274 + -82.3282778?\nAnswer: -82.4310178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-1)*-15*13\/(-39)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**1\/(c*c*c*c\/(c\/((c\/(c\/(c**(-26)\/c)))\/c)*c)*c*c))**(14\/9) assuming c is positive.\nAnswer: c**(350\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21 - -17) + (0 - (21 + 3)) + 0?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -2*c**3 + c**2 - c - 1. Let j(v) = -1609*v**3 + 5*v**2 - 3*v - 3. What is -j(q) + 3*l(q)?\nAnswer: 1603*q**3 - 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -u - d, 8*u - 9 = 7*u + 3*d. Suppose -p + 4*j - 5 = 2*j, 3 = -p + j. Sort p, 4, u in descending order.\nAnswer: 4, u, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10962?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 179499 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 g = 5312 - 3767. Calculate the highest common divisor of g and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21565, -21569, -21565, -21547, -21509, -21445?\nAnswer: -21349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 11*r**2 + r + 12. Let k = 390 + -386. List the prime factors of s(k).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fnfffffffnffffffffff. What is prob of picking 1 n and 1 f?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -120813597786 take away 0.9?\nAnswer: -120813597786.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 38402131\/624 - 61542. Calculate the common denominator of -111\/44 and p.\nAnswer: 6864","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 2*b + 291. What is the common denominator of (-4)\/(-5) + b\/10 and -9\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2898740 and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 126019373?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -a (base 13) in base 7?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1084 (b) 31 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 126 - (-3)\/(-1 - 0). Let s = -82 + h. Is s a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 406 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 396281 and 6201?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 5*k - z + 3 = 0, 3*z = -k - 7. Solve -q + d + 2 = 0, -5*q - d = -2*d + k for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -l - 2*g - 7 - 0, -2*l - 12 = 3*g for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 46*s**3 + 32 - 32 + (6*s + 0*s - 2*s)*(-45 + 45 + 17*s**2) to the form l*s**3 + r + o*s + m*s**2 and give l.\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 3*u - 5*z, -46*z + 13 = -4*u - 43*z for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*z - 12*z - 7 - 3*z + 4 + 0 - 3.\nAnswer: -3*z - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(114))\/sqrt(6) - (-4 + sqrt(38)\/sqrt(2) + sqrt(19)))**2 + 2.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 78777 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**3 + 27*h**2 + 524*h - 84. Give t(40).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 + -6. Let w = 29 + b. Factor -w*q**3 + 20*q**4 - 160*q + 85*q + 91*q - 32*q**2.\nAnswer: 4*q*(q - 2)*(q + 1)*(5*q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20559 - 294.\nAnswer: 20265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4976294432 to the power of 1\/7, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i - 2*i + 0*i. Let q be h(-3). Solve -3*t = q*z - 1 + 13, 5*t = -z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of 0 + 109*p + 0*p**3 + 0*p**6 - 26\/7*p**7 + 0*p**5 + 50\/3*p**4 + 0*p**2. What is the third derivative of u(n) wrt n?\nAnswer: -9360*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9553*y + 260096 = -9537*y. List the prime factors of y.\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z**(-4)*z**(1\/26)*z*(z**(-1\/10))**(1\/15) assuming z is positive.\nAnswer: z**(-1919\/975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.6 and 0.07?\nAnswer: -0.042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/3 (b) -4 (c) 3 (d) -63\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33133, 132952, 299449, 532624, 832477?\nAnswer: 1199008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -928868565 rounded to the nearest 1000000?\nAnswer: -929000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, x: 1, l: 4, o: 1}. What is prob of sequence lllo?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1562392, -5, -2 in descending order.\nAnswer: 1562392, 4, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + -677?\nAnswer: -677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j**2 + 30*j + 27. Give m(-14).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -1 (b) 1.4 (c) -271 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(2\/5))\/(g*g**4) assuming g is positive.\nAnswer: g**(-22\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2371 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -2*i**5 - 2*i**4 - i**3 - 5*i**2 + 3*i. Let l(v) = v**5 + v**4 + v**3 + 3*v**2 - 2*v. Let f(y) = 7*l(y) + 4*z(y). Suppose f(m) = 0. What is m?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 + 14. Suppose 10 = 4*k - 6. Suppose a*n + 1 = -k*o + 2*n, 3*o + 5*n = -2. Solve 2*r - o - 7 = 0, 4*r = -4*d + 32 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of -127*w**8\/336 - 2*w**6\/15 - 811*w**5\/20 - 3*w**2 + 52*w - 4. What is the third derivative of x(a) wrt a?\nAnswer: -7620*a**2 - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*j - 23*j - 88*j + 504 = -170*j for j.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35432 and 60873.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/7 - 6\/(-14). Suppose 4*g - 45 = -0*p - 5*p, x = 4*g + 20. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from bbd.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/(f\/(f*f*f*(f**(16\/3)\/f)\/f*f)*f))\/(((f*f**(2\/35)*f)\/f)\/f))\/(f*f\/f**(-1\/64)*f**(-2\/13)*f*f) assuming f is positive.\nAnswer: f**(298283\/87360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 154740 is divided by 7718?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**2 + 6*v + 2. Let z be j(-6). Suppose -3 = -z*b - 7. Let r(l) = 2*l**2 - l - 2. Does 4 divide r(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1633 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 323*t**2 + 7826*t - 7824. What is n(1)?\nAnswer: 325","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 111, 95, 61, 3, -85?\n\"Answer: -r**3 - 3*r**2 + 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 4*f + 2793 = -2209, -1679 = -t - f. What are the prime factors of t?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 17 = b, 635*b - 5*r - 23 = 639*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -49 (base 15) in base 16?\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4\/5)\/(1\/190). Is (-8)\/(-28) - f\/(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -189568*x - 52. Let c(m) = -11151*m - 3. Calculate -52*c(b) + 3*f(b).\nAnswer: 11148*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 36557084?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -4 + (0 + -1)\/((-10)\/290)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiri when four letters picked without replacement from {i: 14, r: 4}?\nAnswer: 91\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are 101475 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 110101 (base 3) in base 8?\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 43 + -39. Suppose 48 = u*b + 4*b. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*k**2 - 2480 - 2*k - 365 + 1141.\nAnswer: -3*k**2 - 2*k - 1704","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 8 + 20 = 5*u, 5*u - 19 = 2*i. Suppose 6 = -6*x + 4*x, 0 = -o + 3*x + 18. Let f = u - o. Sort 0, f, -1 in descending order.\nAnswer: 0, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1780 and 5856556.\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 7*f**2 - 7*f - 9. Is s(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a meter in centimeters?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*t - 81*t = -78*t + 1746 for t.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**6*t*t*t\/t**(-1\/8)*(t*t**1\/t)**(-11))**(-2\/35) assuming t is positive.\nAnswer: t**(3\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9 and 4361936787?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(24)\/(1*sqrt(12)*1))**2 + ((sqrt(98)*1 + 4)*-1)**2.\nAnswer: 56*sqrt(2) + 116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67167 is divided by 11041.\nAnswer: 921","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2245?\nAnswer: 5, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -35 - 113542150?\nAnswer: -113542225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -290*t - 26851. What is a(-93)?\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/(-14)*0\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 - 11*n**2 + 9*n + 11. Let x be p(10). Solve -w + 1 = -x for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11164690.65999834 + 11164688.9. Let p = 10.4 + -8.64. Let m = p + t. What is m rounded to six dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3748.\nAnswer: 2, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2396983403 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 - 274 = -48*i + 27 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*w + 738 + 685 - 523 = 0 for w.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of -q**9\/1890 + q**6\/72 + q**4 + q. Let g(f) be the third derivative of h(f). Find the second derivative of g(t) wrt t.\nAnswer: -96*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2864 divided by 1?\nAnswer: -2864","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange s - 4*s + s + (-s - 2*s + s)*(0 + 1 - 3) - 3*s + 0*s + s + (-5 + 5 - 15*s)*(-2 - 3 + 4) to the form r*s + n and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1355, -0.4, 2, -30.\nAnswer: -30, -0.4, 2, 1355","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 take away -98?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2004 >= 50?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 2*v**2 + 38*v - 46. Calculate the remainder when 92 is divided by s(-21).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c**5\/3 - 1138*c**4\/9 - 38666*c**3\/9 - 60182*c**2\/9 + 38672*c\/9 + 20440\/3 = 0. What is c?\nAnswer: -146, -42, -5\/3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46290578.\nAnswer: 2, 277, 83557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3578 - 7168 + 1786 = 151*x + 297*x for x.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let o be 7 + -1 - 12 - (-3 - 5). Factor 3\/8 - 1\/2*y + 1\/8*y**o.\nAnswer: (y - 3)*(y - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 56 - (-161 - (-211 + 97)).\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 62631 * -4.\nAnswer: -250524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(171) + 3*sqrt(171)) + sqrt(171))*6)\/(sqrt(45)\/(sqrt(5) + sqrt(5) + sqrt(20)) + (sqrt(18)\/sqrt(18) - sqrt(9)))*6.\nAnswer: -9072*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 - 4*(-188)\/(-16). Let n be 56\/u*45\/(-42). Which is the nearest to -3? (a) n (b) -0.3 (c) -1 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36294 is divided by 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 149 divide 14770?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of 0*t - 1\/2*t**2 - 1\/4*t**4 - 2\/3*t**3 - 2. Let k(c) = 0. What is c?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qooqaoooqoooojoaom. What is prob of picking 2 q and 1 m?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 33 = s, -2*w - 2*w = 3*s - 71. Suppose -12*v + w*v - 624 = 0. Suppose -2*d = 4*a - v, -2*d - 20 = 3*a - 328. What are the prime factors of d?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2\/2 + 30*t - 450.\nAnswer: -(t - 30)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y**4 + y**4 - 3*y**4)*(-477 - 70 + 101 - 479).\nAnswer: -1850*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i**5\/4 + 43*i**4\/4 + 381*i**3\/4 - 883*i**2\/4 - 2351*i\/2 - 870 = 0. Calculate i.\nAnswer: -29, -15, -2, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(7\/6)*y\/y**(6\/11))\/(y**8\/(y*y\/(y\/(y\/y**(-10)))*y)))**(1\/10) assuming y is positive.\nAnswer: y**(349\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7145337 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -8231849.957 to the nearest one hundred.\nAnswer: -8231800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 PM and 11:35 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 14. Let i = 18 + s. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/(-2) + (4 - 199). Let l be 2\/8 - t\/20. Solve 2*k + 5*n + 2 = -6, l = 2*k - 4*n for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + ((-29)\/((-5510)\/912))\/((-1)\/5).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 45\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 90501, 90538, 90577, 90618, 90661, 90706, 90753?\nAnswer: 90802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6536 + -760228.\nAnswer: -766764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 203 and 3059.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the third derivative of -c**8\/1344 - c**7\/840 + c**6\/240 + c**5\/120 - c**4\/96 - c**3\/24 + 16*c**2. Determine o so that u(o) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/(20\/710))\/(-9). Let z = h + 158\/9. Let s = 16 - 5. Which is smaller: z or s?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*m**2 - 2*m + 2*m)*(-3237 + 409 - 2732 + 1201) in the form b + r*m + o*m**2 and give o.\nAnswer: 13077","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 34049*j**2*r - j*n**2*r**2 - 5*j*n**2 - 4*n**2*r**2 + 16*n**2*r + 27*n wrt j?\nAnswer: 68098*j*r - n**2*r**2 - 5*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 - 2)*(-4*z + 6*z + 0*z)*(-9 - 5 + 0)*(-10 - 3 - 3).\nAnswer: -2688*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((b\/b**6)\/b)\/b**5)\/(b**(1\/3))**32)**(-1\/5))**(-19) assuming b is positive.\nAnswer: b**(-247\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the third derivative of b**5\/120 - 19*b**4\/24 + 361*b**3\/12 + 19*b**2 - 2. Let h(u) = 0. Calculate u.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + j + 1005, -7*v - j + 1347 = -3*v. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3\/11 + 30*x**2\/11 + 441*x\/11 + 410\/11.\nAnswer: -(x - 41)*(x + 1)*(x + 10)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -9. Suppose 3*x + 3*o + 9 = -n, -3*x = -4*o - 2. What are the prime factors of 17 + (-2)\/4*x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 318626 and 154.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 3 = 3*i. Suppose 12 = -i*z + 5*z. Suppose 7*y - 20 = 3*y - z*j, 2*y - 7 = j. Solve 2*t = 3*t + 4*f + 20, 5*t = -y*f - 20 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -2\/237, -96, -5, -3?\nAnswer: -2\/237","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -19 - 20*p**2 - 52*p - 9 + 86*p**3 - 82*p**3.\nAnswer: 4*(p - 7)*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 198915834 to the nearest integer?\nAnswer: 584","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 221868061 to the nearest integer?\nAnswer: 605","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12752 + 89983\/7. Let o = 103 - k. Factor -8\/7*b + 2\/7 - 8\/7*b**3 + 12\/7*b**2 + o*b**4.\nAnswer: 2*(b - 1)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7082 - 3980. Suppose -r = 4*q + 4818. What is q rounded to the nearest one hundred?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 47.66804 litres?\nAnswer: 47668.04","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 182910 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 9*h**3 - h**2 - 669*h - 3103. Determine d(-5).\nAnswer: -908","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 + (-1)\/(2\/32). Let r = 25 + s. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 972 + -950. Solve 5*a + 22 = -3*s, 4*s + o = -s - a for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 2*g - 10. Let b be x(10). Let d be b*(-1)\/((-10)\/4). Solve 2*l = d*r + l - 9, -5*r - 3*l + 24 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -c + 3*x, -3*x - 2*x = -4*c - 15. Suppose -2 = z - c. Let l be (14\/z)\/(2\/4). What is l rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1580, 3106, 4582, 6008, 7384?\nAnswer: 8710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = -5*z + 11, 0 = -5*z + 2*a - 1 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -5*r**3 - 3*r**2 + 5*r + 14. Is o(-7) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**(-2\/9)*q*q)\/q)**(-18)\/((q\/(q**(2\/13)\/q))\/(q\/(q**(1\/11)\/q))))\/((q**(2\/7))**(-2\/23)*(q*q**(-1\/8)*q)\/q**(5\/4)) assuming q is positive.\nAnswer: q**(-5992835\/184184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3009*j*o**2 - 15*j*o - 139545092*j - 71*o**2 - 3*o wrt o?\nAnswer: 6018*j*o - 15*j - 142*o - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15438081 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 + 27*x**2 - 29*x - 18. Suppose s - 4*n = -12, 8*s - 5*s + 104 = -5*n. What is the units digit of p(s)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 550809 is divided by 27540?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8114655 rounded to four decimal places?\nAnswer: -0.8115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 87 - 82. Let s be (2 - (-3)\/(-6))*-14. Let y = -17 - s. Solve b - z = -y*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/4 of a gram in milligrams?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = 4*c, -3*v - 6 = 4*c + c for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 4. Suppose -5*o + 24 + 46 = v. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 64009*y**3 - 765072*y**2 - 36396*y - 432.\nAnswer: (y - 12)*(253*y + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 501.21 - 596.21. Let x = -2 - -1.5. What is the third smallest value in 0.2, x, -0.4, k?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -18951120 from -14.\nAnswer: 18951106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 323110 (base 4) in base 11?\nAnswer: 2941","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 171089117 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -240*i + 244*i + h = -5, 0 = 2*i - 2*h for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -265 - -269. Suppose 5*o - 23206 = -3*n - 0*n, -30949 = -p*n + o. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 164538 (base 10) in base 13?\nAnswer: 59b7a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39963634, 39963614, 39963594?\nAnswer: 39963574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26 + 190*(-13)\/(-65)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 p, and 1 o when three letters picked without replacement from {o: 1, q: 1, d: 2, p: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 43055*b*d**3*p + 4*b*d**2 - 6642*b*d*p + 31*b*d - b + 144*d**3*p - 7*d*p wrt d.\nAnswer: 258330*b*d*p + 8*b + 864*d*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25654 - 8126. What is the ten thousands digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 - v + 1. Let d = 281 - 275. Let q(m) = 8*m**2 - 7*m + 7. Give d*n(k) - q(k).\nAnswer: -2*k**2 + k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-438)\/(-30) + -8 + (-6)\/(-15).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of p**4 - 3*p + 0*p**2 - 4\/3*p**3 + 96. What is the third derivative of f(x) wrt x?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1829 (base 14) in base 6?\nAnswer: 32045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((77\/154)\/(174\/4))\/(25\/150)\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 1, 69, -7, 3.\nAnswer: -7, 1, 3, 14, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**2 - 102095*s.\nAnswer: -5*s*(s + 20419)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 919 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1640, 1621, 1602, 1583?\nAnswer: 1564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-20)\/(-6)*-24*(-2)\/10. Suppose 108 = -c*m + 19*m. Suppose r + 4*r = 60. What is the highest common divisor of m and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32684 minus -58?\nAnswer: -32626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.8 + -1. Which is smaller: -9 or c?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 27*q - 15575 = -24*q, 2*j - 31168 = -3*q. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 26689895 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7854 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*w**2 + 9670548*w + 25623508 wrt w.\nAnswer: -10*w + 9670548","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1202*f + 287*f**2 + 1161*f - 43*f**2)*(4*f + f**2 - 4*f).\nAnswer: 244*f**4 - 41*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2\/((2\/42)\/(4\/(56\/(-7))))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - a = a + 8, 16 = 3*b - 4*a. Let v be 6\/(-18) + 7\/3. Suppose 0 = 3*o - b*j - v*j - 92, -j = 3*o - 80. 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: Suppose -14*a - f = -18*a + 35048, 0 = -4*a + 5*f + 35064. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 123 + 974. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25)\/2100*21*5\/((-45)\/24)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -1 + 38*g**2 - 26*g**2 + 1. Suppose -8 = -5*c + c. Let p(h) = h**2 - c*h**2 - 29*h + 29*h. Calculate p(m(w)).\nAnswer: -144*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -7*b**3 + 2*b**2 + 2*b. Let l = -7 + -7. Let i = 13 + l. Let o be w(i). Let h(y) = y - 3. Determine h(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61486.\nAnswer: 2, 71, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9512356 to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-289)\/(-7) - (-2)\/(-7). Let m = -5 - -5. Solve -2*o + m*o = d + 3, -g = 4*o - 5*d for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1403\/732)\/((-2)\/(36\/2))*(-4)\/9\nAnswer: 23\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -3*q + 2. Let b(m) = 10*m - 7. Let v(u) = -2*b(u) - 7*t(u). Suppose 5*g - 404 + 49 = 0. Let h(f) = g + 3*f - 71. What is v(h(w))?\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 11971\/2 less than 3\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2 - 2*j + 29. Let u be d(-6). Suppose -4*w = -u*w + 264. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9781 is divided by 67.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 - 15. Let s = -6 - n. Which is the nearest to -1? (a) s (b) -3 (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 - 3\/((-3)\/4). Suppose -p*l = -3*l + 2. Let z = -1 + l. Are z and -3 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of 0*u**2 + 4\/3*u**3 + 2 + u. Let v be x(1). Solve -v*s - 2*b - 2 + 8 = 0, 4*b = -4*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/11? (a) -2 (b) -0.08 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1201*z + 28589 + 3869 = -8376 for z.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 305592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-12)*(-5)\/45*10416\/248?\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 155333.1 weeks?\nAnswer: 26095960.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14 in -221, -5, 138, 1\/8, -1\/5?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 738 - 575. List the prime factors of b.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3165 less than 409?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 91 + -103. Let z(r) = -r**3 - 13*r**2 - 7*r + 65. Let s be z(t). Solve 0 = -2*m - k + 6 + 2, -s*m + 17 = k for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 - 9*o**2 + 8*o - 5. Let a(v) = -23*v**2 - 13*v. Let q be a(-1). Determine u(q).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -18*s**3 + 17*s**2 - 25*s + 2. Let m(c) = -56*c**3 + 53*c**2 - 77*c + 6. Let h(r) = -10*m(r) + 31*w(r). Suppose 0 = -0*d + d - 3. Determine h(d).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*a + 103*a = 56*a - 9 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18925 - -61629. Is 34 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 143 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: Let x = -3 - -2. Let d = 2977 - 5951\/2. Which is the nearest to x? (a) -2 (b) -1\/4 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + 1010001000100?\nAnswer: 1010001000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 - 4*n - 1. Let a be h(5). Suppose 2*p - 4*p = 4*m, -a*m = p - 6. Is (-5)\/(-30) + (-53)\/p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 - 12*p**2 - 2*p - 28. Let y be f(-12). Let a be 6\/8 + 7\/y. Let k(w) = -10*w. Calculate k(a).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 + 5\/(-10)*4 - -2. Suppose -5*f + 760 = -5*i, -5*f + 392 = -3*i - 374. Suppose 109 = k*n - 5*o, 5*o - f = -5*n - 0. Is 14 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cq when two letters picked without replacement from ciqezez?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10109?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 58*c - 2. Let f be z(1). Suppose -5*y - 15 = -5*h, -5*y + 2*y = h - 23. What is the greatest common divisor of h and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 5, 1\/2, -1\/3, -13?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -113 - 2*w + 2*w - 3*w - 11*w + 12*w.\nAnswer: -2*w - 113","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23738619?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (15*f + 5*f + 0*f)*(7 + 3 - 1)*(1 - 1 - 2*f) as o + b*f + u*f**2 and give u.\nAnswer: -360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -77*g - 4285. What is w(-55)?\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.45514 - -3493?\nAnswer: 3492.54486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 42507512 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 2:30 AM?\nAnswer: 6:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.6648 - -1.102. Let d = -0.373 + k. Let o = d + -0.05. What is o rounded to 3 decimal places?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.06 + 0.11. Let c = 1.05 + -1. Let m = s - c. Which is smaller: -1 or m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 + 4*w - 5. Let c be l(-5). Suppose 3*m + 122 = 5*x, x + 3*m - 64 = -36. Solve c*r = -5*r + x for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -40 - 136. Let r be 2*4\/(n - -4). Which is the smallest value? (a) -0.7 (b) 0.4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 288 and 468.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44832 + -516.\nAnswer: 44316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 3398.095cm?\nAnswer: 0.03398095","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*g**3 + 0*g - 2 + 0 - 3*g**2 - 2*g**2 - g to k*g**2 + f*g + u*g**3 + v and give k.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -221 - -243. Suppose 5*w - b*w + 221 = 0. Solve 0 = 3*l + 4*y + w, 0 = 3*l - 3*y + 5 + 1 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000047751944 rounded to 6 dps?\nAnswer: -0.000048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 145 = 4*p. Let v = p - -49. List the prime factors of v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 18 + 3. Solve 4*k + j*x = -x + 24, -k - 10 = -3*x for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-5)*g\/(g**(-6)*g)*(g**(-2\/3))**(-1) assuming g is positive.\nAnswer: g**(5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2375823 is divided by 339?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/((-6)\/(57*(-22)\/(-2299)))\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 3 d when four letters picked without replacement from ppppdppppppdpppppppd.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8313 or 8315?\nAnswer: 8315","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22368 + 22452. What is the remainder when 350 is divided by k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 344.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4541*u + 2609*u + 2366*u)*(u**2 - 5*u - u + 3 - 1) to p*u + r*u**3 + a*u**2 + l and give r.\nAnswer: 434","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 20080505 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 277642?\nAnswer: 2, 138821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 4*a - 6 = 6, 5*s = -a + 7. Calculate the smallest common multiple of 30 and 11 + 0 + s\/1.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1 + 0.1. Let k be (-231)\/(-63) - 30\/10. Which is the nearest to k? (a) -4 (b) d (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 369.3 + -369. Put p, -2\/5, 2\/7, -5 in increasing order.\nAnswer: -5, -2\/5, 2\/7, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3\/11*r**2 + 0 + 1\/11*r**3 + 2\/11*r = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-96)\/80)\/((-2)\/(-5))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9212369 millilitres in litres?\nAnswer: 0.0009212369","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 5 = 4*h + 2*u, 5*u = h + 40. Let y be 2 - (-6)\/h - 2. Let n = 1 - 2. Is n >= y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5882 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/42 and 19\/2462088.\nAnswer: 17234616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -346.000227 - -346. What is x rounded to 5 dps?\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.17 times -5\nAnswer: 0.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/28 + 132\/21. Suppose -l - h = 6. Does 6 divide 511\/42 - (-2)\/l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 36*u - 5. Let q(t) = 14*t + 1218. Let i be q(-87). Determine m(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i + 53. Let l(k) = 2*k + 165. Give y(l(f)).\nAnswer: 2*f + 218","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/6 + 14\/6. Suppose y*c - 4*r - r = -18, 3*r - 12 = 0. Let g be 301 + c - (-2 + 4). What is g rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of -n**6\/30 + n**5\/60 - n**2\/2 + 1. Let q(j) be the second derivative of r(j). Find the third derivative of q(w) wrt w.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -23 bigger than -14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(20\/11))**3*(g*g**(-2)*g**(-2\/19))**(-12) assuming g is positive.\nAnswer: g**(3912\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1203*v + 719*v + 610*v to z*v + r and give z.\nAnswer: 2532","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + 11057?\nAnswer: 11053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 39725 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 - -16. Let y(h) = h**2 - 4*h - 8. Calculate y(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4.54 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-31)\/93)\/(2\/(-15))?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is o in o**3\/2 - 2361*o**2 + 1151001*o\/2 - 36032186 = 0?\nAnswer: 127, 4468","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-3 - (3 - 10)) - (-15)\/10.\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -34*m + 1. Let l(y) = -67*y + 1. Let d(s) = 6*l(s) - 11*w(s). What is the units digit of d(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5591*r**3 + 84*r**2 + 514335*r.\nAnswer: -33546*r + 168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1921 and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 8, p: 4, d: 4, q: 2, x: 1}. What is prob of picking 1 x and 2 u?\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 91 + -453\/5. Sort 2\/3, i, -5, -0.2 in increasing order.\nAnswer: -5, -0.2, i, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/(-9)*342\/(-6). Suppose -h = -6*l + 40. Let u = 18 - l. Solve 1 = -w - n, -u*n = 3*w - 0 - 3 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = 81*b + 11*b - 2*b. Is -18\/263 < b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 2*g + 4 + (-2*g + 2 - 2)*(1 - 1 - 1) + 2 - 2 - g - 3*g + 5*g + 4*g)*(-4 + 5 - 3) to j*g + q and give j.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = -4*r - 5*w, 10*r - 14*r - 2*w = -6 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21 or 1.5?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 273.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + a = -19, -37*n = -41*n - 77*a + 234*a + 2218 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Is 325573 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -14*d - 2. Let o be n(-3). Let c be 5\/(-4)*16\/o. Which is smaller: -26 or c?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a kilogram in grams?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 1 + 0)*((-1 + 4 - 1)*(f + 0 + 0) + 39 - 407*f - 39)*(3 - 3 - 2*f) - 3 + f**2 + 3 to the form c*f**2 + d + s*f and give c.\nAnswer: 811","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 392878 is divided by 56078.\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 16 + 6\/6*4. Is (7 + (-144)\/j)\/(1\/(-43205)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 3)*(-3*o + 0*o - o) + (2 + 0 + 0)*(4*o - o + 0*o).\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - -1. Suppose -u = -6*n + 11. Solve 0*b = -n*b - 9 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 6.603525t?\nAnswer: 6603525000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1330 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.091 - -4.091. Which is the biggest value? (a) q (b) 0.1 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 5*w - 15, -4*w = -6*w - 2. Suppose -274 = -s*h + 26. What is the third derivative of -3*c**2 - 10*c**2 - 12*c**3 + h*c**3 - 27*c**2 wrt c?\nAnswer: 288","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**1\/b**(-5)*(b**1*b)**(27\/5) assuming b is positive.\nAnswer: b**(84\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 25*n**5 + 190309670*n**4 + 362177781078910*n**3 + 289741836631440*n**2 - 507048908735295*n - 434613154597470 = 0.\nAnswer: -3806193, -1, 6\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 PM and 1:28 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 151 + 2378774.\nAnswer: 2378925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 86790204 to the nearest integer?\nAnswer: 443","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6214)\/(-6453))\/((-7)\/(126\/3)).\nAnswer: -52\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7203693 is divided by 127.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 764 is divided by 118?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 4\/227316811?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 28 = -5*q + 8, -39 = -5*q + 4*t. Suppose 3*h - q = -4. Solve -2*p + 3*p + h = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**3\/((o\/o**(-3)*o*o)\/o)*(o\/(o**(-2\/13)*o))**(-15) assuming o is positive.\nAnswer: o**(-56\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f = 4*f - 3, -4*x = 2*f + 1114. Which is greater: x or -280?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -119 - -202. List the prime factors of n.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 5*x = -19, -o - o - 2*x = 4 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 2*g + 0 + 0 - g + 0 + (0*g + 2*g + 0*g)*(0 - 3 + 1) - g - 2 + 2 - 4 + 4 - g + (0 - 4 + 5)*(g - 3*g + g) + 2*g + g + g + (-3 + 3 - 2*g)*(0 + 2 + 1).\nAnswer: -8*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 881711215 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: Evaluate ((-60)\/1485)\/(20\/30).\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9 and 117.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - d = -0*d - 30, -5*v + 150 = -2237*d + 2236*d for v.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*l**4 - 5*l**4 + 6*l**4 + (-3*l + 3*l - 2*l**2)*(-2*l - l**2 + 2*l) as y*l**3 + w*l**2 + o*l + n*l**4 + t and give n.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 29358344 divided by -4\nAnswer: -7339586","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -25, -140, -291, -496, -773, -1140, -1615, -2216?\n\"Answer: -3*v**3 - 94*v + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -2*u + 20, q - 55 = -2*q + 5*u. What is the remainder when 37 is divided by q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5130, -18854, -41218, -72222, -111866, -160150?\nAnswer: -217074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -9194*d. Let u(f) = 27273*f**2 - 54551*f**2 + 27276*f**2. What is p(u(n))?\nAnswer: 18388*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12\/252*7*(-94 - (0 - 1)). Is -151\/5 less than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -3*u - 2. Let i(r) = -9*r - 5. What is 11*b(j) - 4*i(j)?\nAnswer: 3*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -405 - -30721?\nAnswer: 30314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 12:46 AM?\nAnswer: 3:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 5) in base 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k - o = 2*k + 5, -o = 5*k + 5 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1100121 (base 3) to base 2.\nAnswer: -1111011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 204030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4000*0.2.\nAnswer: 800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3545888113 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -519 greater than or equal to -523?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27)\/3*(-364)\/(-126)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 3*b = 2*g - 2, -4*g - 3*b + 10 = 0. Let t be ((-1)\/((-1)\/g))\/2. Suppose -f**2 - 4*f**t + 2*f**2 - 2*f**3 - f**4 + 2*f**2 = 0. What is f?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -904\/3 at most -300?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3595 and 0.6?\nAnswer: 2157","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51 = -24*i - 41*i + 14 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -275 (base 11) in base 4?\nAnswer: -11010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.059 times -4.938?\nAnswer: -0.291342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.04574 - 0.25426. Let f = 135\/7 - 19. Let w = -10 - -10.2. Which is the fourth biggest value? (a) w (b) f (c) -4\/5 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302455411 to the power of 1\/3, to the nearest integer?\nAnswer: 671","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -110652315 (base 7) to base 5\nAnswer: -3203431121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1374 is divided by 479?\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 9, 0.3, 0.4, 20, -7, -35 in decreasing order.\nAnswer: 20, 9, 0.4, 0.3, 0.1, -7, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 642073891?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 4*v - 19 = 0, -2*y + 4 = 4*v + 14 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - (7 + -3 - -9).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 5)*(-839*y + 838*y - 95*y**3 - 4 + 6).\nAnswer: 380*y**3 + 4*y - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4 - (-12 + 18\/3). Solve -3 = u*i - 4*s + 7, -8 = -2*s for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 89?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.25 + -2.65. Let q = d + 0.4. Which is smaller: 3 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 220110201220 - -10?\nAnswer: 220110202000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24*6\/72)\/((255\/20)\/(-3)).\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 807 is divided by 154?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 2 - 1 + 0 + 5 - 4 + (-5 + 4 + 0)*(1 + 2 - 5) + 0 - 5 - 8)*(2*v**3 - 3*v + v**3 - 2*v**3) to the form o*v**3 + z*v + c*v**2 + k and give z.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, 4, 2, -2, -8?\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3958*a + 7893*a - 3658*a)*(3 + 0 - 4).\nAnswer: -277*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04059 rounded to 2 dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 219*j - 230*j + 166991. What is the ten thousands digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.2 - -4.8. Let t = 4.9 - s. Put t, -0.3, 5 in descending order.\nAnswer: 5, t, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (205 + 209 + 174*b - 414)*(22 - 14 - 21).\nAnswer: -2262*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand s**3 + 3*s**3 - 2*s**3 + (11*s**2 - 15712 + 15717 + 34*s**2 - 30*s**3)*(0 - 2 + 1).\nAnswer: 32*s**3 - 45*s**2 - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q - 11 = -9*q. Suppose -20 = -d + 4*b, q = -d + 3*b + 28. Is 8 smaller than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*k**2 + 3*k**2 - k**2 + (4 + 3 - 5)*(k**2 - k + k) - 6*k + 2*k**2 + 6*k.\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 + 9*z**2 + 10*z - 4. Let b be o(-7). Suppose 0*n + 4*u + b = -n, 3*n - 2*u + 100 = 0. Let r = n + 38. Solve -2*v = -5*v - r for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11337.07 - -11438. Let x = -102 + u. Round x to 1 dp.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43449711 = 4*u + 8169823. Let q be u\/98 + (4\/(-14))\/(-1). Round q to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87 is divided by 37.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1 (b) -3\/4 (c) 2 (d) 5 (e) 107.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -490*h**2 + 1 + 1373*h + 0 + 491*h**2 - 1 to i + x*h + d*h**2 and give x.\nAnswer: 1373","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2772000043?\nAnswer: 23, 293, 411337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 137445802?\nAnswer: 2, 13, 43, 122939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -3*p**2 - 18*p - 15. Let l(f) = 2*f**2 + 11*f + 8. What is -3*b(v) - 5*l(v)?\nAnswer: -v**2 - v + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114*a = 18*a + 130944. List the prime factors of a.\nAnswer: 2, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of -j**3\/3 + 35*j**2\/2 - 109056*j. Let a(y) = -4 + 2*y**2 + 4. Determine m(a(i)).\nAnswer: -4*i**2 + 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 639 (b) 4 (c) 0.3 (d) -3\/2 (e) 2\/27\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-2\/31))**26\/(v*v**30)**(-1\/4))**(-19\/2) assuming v is positive.\nAnswer: v**(-14307\/248)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7\/10? (a) -0.2 (b) 5 (c) -1\/3 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -2365*d**2 + 129*d. Let a(s) = -91*s**2 + 5*s. Let k(c) = -129*a(c) + 5*q(c). Let b(l) = l**2. What is k(b(p))?\nAnswer: -86*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d\/(d*((d*d**8*d)\/d)\/d)*d*d*(d**(5\/6)*d)\/d*d**22*d*(d\/((d*d\/(d**(-15\/2)\/d)*d*d*d)\/d))\/d)**(-1\/19) assuming d is positive.\nAnswer: d**(-22\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.34, -0.1, 1, -61\/4808 in descending order.\nAnswer: 1, -61\/4808, -0.1, -0.34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 5*u - 6 + 0 = 0, 3*u + 3 = -2*g. Suppose -s + 86 + 62 = -3*d, g*d + s + 158 = 0. Does 19 divide d\/(-4)*-1*-4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 21*x**3 + 5*x**2 + 5*x - 5. Let v(m) = 20*m**3 + 4*m**2 + 4*m - 4. Determine 4*j(l) - 5*v(l).\nAnswer: -16*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 3*u**2 + u + 2. Let g be x(-2). Let k = -4 + g. What is k rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (7 + -8 + (1 - 0))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (((-54)\/24)\/(11817\/(-404)))\/(6\/(-3))\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -29274 or -29308?\nAnswer: -29308","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*z**3 + 2*z**4 - 11*z**3 + 2*z**4 + 0*z**4 - 4*z**4 + (4*z - 6*z + 0*z)*(-2*z**3 + 3*z**3 + 0*z**3) + 10*z**4 + z**4 + z**4.\nAnswer: 10*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millisecond in microseconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 575591827?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 375 + -369. Suppose -3*y + 21 = -4*x, y = -12*x + 13*x + s. Solve 5*c = -y*c - 24 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -2*v + 8. Suppose 2*w + v = 4*i - 8, i = 2*w + 1. Factor 4\/3*k**4 + 2*k**3 + 1\/3*k**5 + 0 + 4\/3*k**w + 1\/3*k.\nAnswer: k*(k + 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 4*a + 11 = -1, 0 = -u + 5*a + 22. Let b be 1\/2*(8\/2 - u). Is (-223)\/(-3 - b - -3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -7.1, -0.51, 2\/7, -25\/14?\nAnswer: -0.51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.365469 to 3 dps.\nAnswer: -0.365","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 32221 (base 14) to base 6\nAnswer: 2332525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and 2665.\nAnswer: -13325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= 745\/976212?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-891)\/(-6)*(-7456)\/50328?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3749267*l*n*t**3 - 4*l*n*t - 187*l + 13*t**3 - 227 with respect to n.\nAnswer: 3749267*l*t**3 - 4*l*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - -7. Let d be t\/2*(-3 + 2). Suppose -2*l - l - 5*s - 10 = d, -20 = -l + 3*s. Solve 29 = l*a - 0*a - g, 0 = -4*g - 16 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14*4\/(-6)*((-199)\/4776)\/(5\/45)?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 11 = -7. Suppose 6 = 5*r - a. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -84, -164, -244, -324, -404, -484?\n\"Answer: -80*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15*t*u**3 - 440*t*u + 855*u**6 - 6*u**4 + 2*u**2 - 54*u wrt u.\nAnswer: -90*t + 102600*u**3 - 144*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58570?\nAnswer: 2, 5, 5857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 181464?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-100)\/(-450) + ((-4)\/(-135))\/((-14)\/231). What is the biggest value in -0.2, h, 1\/7, -3\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = -33*c + 19*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7567?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30248086?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, f: 3}. What is prob of picking 2 f and 1 t?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - -12513040?\nAnswer: 12513034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -8859?\nAnswer: 2\/8859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -383, -1273, -2747, -4799, -7423?\nAnswer: -10613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/7))**(-1\/19)*(s**(3\/8)\/s)\/s*s*s*s**0*s assuming s is positive.\nAnswer: s**(1479\/1064)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u. Let q be 0 + 4 + -2 + 2. Suppose q*s - 9*s + 5 = 0. Let z(c) = 4*c - 16*c - s - 1. Determine 10*x(g) - z(g).\nAnswer: 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2894, -11615, -26188, -46643, -73010, -105319, -143600, -187883?\nAnswer: -238198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/(-2*1\/(-2)). Let w be (70\/(-3))\/(6\/(-63)). Suppose o = -4*p + 9*p - w. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 - 2*m + 26 - 15.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 10772*f + 604. List the prime factors of n(3).\nAnswer: 2, 5, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/6*42\/3 + (-847)\/119.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2\/9 (b) -0.1 (c) -2 (d) -2\/25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**2*l)\/l**(-6))**16\/((l**6\/(l\/(l\/l**(-2\/5))))\/(l**2*l**(1\/4)*l)) assuming l is positive.\nAnswer: l**(3137\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4697323 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 0 = 3*q + 5, -2*t + 2*q + 10 = 0. Let s be 0*t*(-2)\/(-28). Solve 4*c + 12 + 8 = s for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s - 2*s + 2*s)*(2 + 3 - 8) + (1 + 1 + 0)*(2*s - 4*s + 5*s) + 2*s + 2 - 2.\nAnswer: 11*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 106383 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 0 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(336))\/sqrt(3).\nAnswer: 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-56952)\/(-2373) + (1*-39 - -2)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 PM and 12:18 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 1219 = -j + 3*u, -4*u + 300 = -j. Let z = 14 - j. Let f be (6\/4)\/(-4 + 1281\/z). What is f rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 5*x, 3*d - 33*x - 16 = -28*x for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 28*n**2*q**2 + 7854*n**2*q + 6*n**2 + 3*n*q**2 + 21*n + 898 wrt q.\nAnswer: 56*n**2*q + 7854*n**2 + 6*n*q","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 19781, 24453, 29125, 33797, 38469?\nAnswer: 43141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 69887 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 173 and 418141.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 21615 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 154505 is divided by 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/3, 4, -1, 5, -51\/4, -1\/3 in descending order.\nAnswer: 5, 4, 4\/3, -1\/3, -1, -51\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -58.3 - -66. Let z = -3.3 - y. Which is the nearest to -1\/4? (a) z (b) 0.4 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*q, 0 = -5*j - 379*q + 382*q - 17. Suppose 4*n + 28 = 4. What are the prime factors of (-1)\/((j - n)\/(-145))?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1120 = -8*r - 1136. Which is the nearest to 2\/7? (a) -2\/3 (b) r (c) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2*j**2 - 52*j - 25461. Let t(s) = 44*s. Calculate t(h(i)).\nAnswer: 88*i**2 - 2288*i - 1120284","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2\/7 - 118*u\/7 + 228\/7.\nAnswer: 2*(u - 57)*(u - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 67725702?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - (-140)\/3)*(410\/(-40) + 11)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011000111111011 (base 2) in base 3?\nAnswer: 2022111112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -436 divided by -218.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/3)\/(((-2)\/3)\/((-122)\/(-183))).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1\/3 (b) 4\/7 (c) 4\/85\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1e - -e4f42?\nAnswer: e4f24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a + 13. What is the remainder when 2\/(1*-3 - (-177)\/57) is divided by w(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.042 + 2.042. What is the second smallest value in 0.2, -3, i, 1.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - (0 + -16 - -6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 153532437 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4848 = 3*t - 19*t. Let d = t - -656. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*y + 57*y = -162*y + 688 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 54 + 14. Calculate the remainder when k is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 - -3. Suppose 9 = 10*z - 31. Suppose -3*p = z*p - 392. Calculate the greatest common divisor of p and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence edb when three letters picked without replacement from {d: 7, e: 1, b: 5, c: 3, s: 3}?\nAnswer: 35\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*b - 2*b**3 - 19*b + 24*b.\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -2*l - 10. Let x be (4\/l)\/((-14)\/(-20)). Which is bigger: 0 or x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 + -10. Let y = 13.01 + -13. Let k = r + y. Sort -2\/11, k, -4\/7 in descending order.\nAnswer: k, -2\/11, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -25405804583939 - -3.\nAnswer: -25405804583936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -449 + 451. What is the closest to 0 in -3, g, 3\/5, 6?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - -1478c7c8?\nAnswer: 1478c7ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 0 - (3 + 5 + -6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 52\/((-4680)\/30) - (-10)\/27.\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -331643 divided by 331643?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - b = -5*n, 3*n - 7*b - 41 = 0. Factor 4\/5*q**n - 8\/5 - 4\/5*q.\nAnswer: 4*(q - 2)*(q + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52432405973836 - 8.\nAnswer: -52432405973844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*s - 296 = 14290. Suppose 4*m = 3*d + 536, -5*m + s = -0*m - 2*d. What are the prime factors of m?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/7 in -2\/7, 1\/105, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmm when three letters picked without replacement from {r: 3, m: 9}.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add 1 and -1030166235.\nAnswer: -1030166234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 7.13*1.7\nAnswer: 12.121","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 476 + 152 = 101*j - 291 - 91 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*k**3 - 27*k**3 + 4*k**3 + 12*k**3.\nAnswer: -67*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3145551 (base 11) to base 12.\nAnswer: 1a32b52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4697 and 2156.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 3*b - 111 = -0*b, -t - 2*b = -108. What are the prime factors of t?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57089 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 28*b + 11. Let i(c) = c**3 - c**2. Let v be i(2). Suppose -3*w + v*a + 11 = 0, 15 + 15 = 2*w + 3*a. Is o(w) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 100952816, 100952815, 100952814, 100952813, 100952812, 100952811?\nAnswer: 100952810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of -155*y**6\/2 + 15*y**3 - y**2 - 251. What is the third derivative of z(q) wrt q?\nAnswer: -27900*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91939 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/((-3)\/(-45)*-3). Let o(f) = -f**2 + 5*f - 6. Let p be o(4). Suppose 5*j = b - 0*b - 24, 12 = 5*b + 2*j. Sort p, r, b in descending order.\nAnswer: b, p, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j - 3*j + 0*j + (1 - 3 + 4)*(j + 3*j - 3*j) + 3 + 2*j - 3 + (3*j + 2*j - 4*j)*(2 + 0 + 0).\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 k when two letters picked without replacement from kmvzzszswvzvzsz.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00023085194 to five decimal places.\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 3*t**2 - 3*t + 3. What is the remainder when v(5) is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*w - 2*w**2 + 1 + 32*w**3 - 63*w**3 + 33*w**3)*(-4*w + 0*w + 3*w).\nAnswer: -2*w**4 + 2*w**3 - 7*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2 + 7*j. Suppose 2*c - 12 = 2*r, c - 3*r + 38 = 6*c. Suppose 22 = 2*m + 5*t + c, 0 = -m - 5*t + 10. Is 10 a factor of a(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 0 = -6. Let r(n) = -n**2 + 7*n + 1. Let h be r(7). Suppose -27 = -q*k + h. Solve -3*c = 5 - k for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 AM and 1:28 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1159985 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 0.2 (c) 9\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**5 - 7*w**5 + 4*w**5)*(3 + 2 - 2)*(0 + 5 - 3).\nAnswer: -12*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 3*y + 7 = 0, 4*s - 1013*y = -1017*y - 12 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 12 = -7*h. Suppose -h*m + 3274 = 1108. Suppose -3*l - 117 = -s, 5*l = 5*s - m - 244. What are the prime factors of s?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2 + (-114)\/64 + 1 and 5 + (-87)\/9*51\/(-170).\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 34\/5 of a microsecond?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 5*n + 30, -21 = -4*n - 5. Let y be ((-4)\/w)\/(8\/20). Let l = -1183 - -1182. Sort l, y, -2, 2 in descending order.\nAnswer: y, 2, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(-12) - 2097\/(-12). Suppose -g + 5*w = -133, -4*w + z = 2*g - 77. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 386.07595 + -386. What is k rounded to three dps?\nAnswer: 0.076","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -59190, -59217, -59268, -59343, -59442, -59565, -59712?\n\"Answer: -12*j**2 + 9*j - 59187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(153) - (6*sqrt(153) + sqrt(153)))*-3*5)\/(2*-1*5*sqrt(576)).\nAnswer: -45*sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 7 = -2*y - g, -8 = -3*y + 2*g. Suppose w = y*w. What is the second derivative of 3 + 4*c - 4*c**3 - 3 + w wrt c?\nAnswer: -24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4304)\/(-2690) - 54\/40.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4 + (-76 - -71) + (-9)\/(-1). What is the greatest common factor of r and 3960?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h - 5. Let z(d) = -2*d + 9. Let f be (-1 + 22)\/(1\/6*-2). Let q = 52 + f. Determine q*u(t) - 6*z(t).\nAnswer: t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 143 + -85. Is l a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.752 * -0.105.\nAnswer: -0.07896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (148988 + 13*d**2 - 14*d**2 - 142715)*(-2*d + d + 0*d).\nAnswer: d**3 - 6273*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4356 and 204248.\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 AM and 2:58 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 - -5348504199.739.\nAnswer: 5348504199.639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1588661 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kobkkokobk. Give prob of sequence obk.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*(((f\/(f\/f**(2\/5))*f)\/f)\/f)\/f*f)**(-19)\/(f**(8\/3)*f*f**5*f))**(24\/13) assuming f is positive.\nAnswer: f**(-2072\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 336\/60 + 1 + (-2)\/(-5). Suppose j + 5*q - 3 = 0, q = a*j - 10*j - 19. Put j, -1, 10 in ascending order.\nAnswer: j, -1, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**4 + 21*x**3 - 45*x**2 - 525*x - 750.\nAnswer: 3*(x - 5)*(x + 2)*(x + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 846*i**2 - 54*i. Let b be (12 - 11) + 56 + -3. Let s(f) = -77*f**2 + 5*f. Give b*s(o) + 5*p(o).\nAnswer: 72*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c = 2*c + 3*c. Solve c = 4*b - 14 - 6 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.118 + -0.282. Let j = 2 - 2. Which is greater: j or q?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -390*0.2\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 206*-0.06.\nAnswer: -12.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -12*o - 4. Let d(v) = -88*v. What is d(g(x))?\nAnswer: 1056*x + 352","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 1\/4, -4\/3, -107 in decreasing order.\nAnswer: 1, 1\/4, -4\/3, -107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 132373.9 weeks?\nAnswer: 22238815.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f - 4*f + 3*f)*(0 + 0 - f**2) - 11*f + 4*f**3 + 11*f - 3*f**3 + 3*f**3 + f**3 + (-1 + 1 - f**3)*(47 + 25 + 66).\nAnswer: -132*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wcrrcwrucrrrcrcrcwr. Give prob of sequence rwc.\nAnswer: 9\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - 7 + 37. What is the smallest common multiple of y and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 27*i = 32*i - 16, o + 7 = 2*i for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 18*b - 277. Give z(15).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, -7, 11, 45, 101, 185, 303, 461?\nAnswer: 665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -9*x. Let t(q) be the first derivative of 1 + 1 - q**5 + 3 + x - 7*q. Differentiate t(o) with respect to o.\nAnswer: -20*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*z - 17*z - 4. Let v be (-7)\/(-14) - (-3)\/z. Let k(y) = -y**3 + 3*y**2 - 3*y + 3. Determine k(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77 = -h - 4*i, -35 = -3*h + 110*i - 66*i - 42*i for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*o + 3*v, 2*o + 5*v + 1 = 3. Suppose -3*f + k = -k + o, -4*f + 10 = 3*k. Let m be f + (-2 + 7 - 2). What is the highest common factor of m and 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 40 + 8. Let s be ((-6)\/(-5))\/((-2)\/(-20)). What is the highest common factor of s and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 13 - 24 + m + 1 + 10. Let u(y) = -9*y + 2. Determine u(z(n)).\nAnswer: -9*n + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36)\/81*(43\/72 - 10\/45)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2319 is divided by 101.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -2*d - 1. Let j(a) = -1. Let s(y) = -y + 2. Let m(h) = 6*j(h) + 2*s(h). Let f = -13 - -18. Suppose 0 = 5*n - 10 - f. What is n*m(i) - 4*v(i)?\nAnswer: 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -134180 (base 9) to base 15\nAnswer: -19386","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (629*x + 5115 + 676*x - 5114 - x**3)*(-2*x + 0*x + 3*x) to p*x**3 + w*x**2 + h*x + l + j*x**4 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-1\/4))\/q)**(-32) assuming q is positive.\nAnswer: q**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -38507122 and 1.\nAnswer: -38507122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 47, 102, 147, 176, 183, 162, 107, 12?\nAnswer: -129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + l - 40 = -5*d, 21 = -2*l + 3*d. Let x be (2\/((-2)\/3) - -31) + l. What is the highest common divisor of 10 and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 995 + -995.32. What is the smallest value in 4, 1\/3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*c + 19 - 19 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 39070242407 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 + p**2 + p. Let x be 0 - 0 - (-6)\/(-3). Let m(n) = -4*n**3 + 2*n**2 + 2*n + 1. Let g(v) = x*i(v) + m(v). What is the derivative of g(j) wrt j?\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 - 10*h**2 - 5*h - 30. What is the smallest common multiple of i(-10) and 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 PM and 10:23 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 540 and 48060?\nAnswer: 48060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 34587971117 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 2*t = 5*d + 37, -35 = -5*t + d. Let x(l) = l**2 - 5*l - 1. Let z be x(t). Let r = -2 + z. Solve -8 = 2*q + 2*q, -q - 17 = r*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3388, -129.5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -163 (b) -3\/5 (c) 14 (d) -24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-531)\/177*1\/3*18\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28 - 28. Which is the second smallest value? (a) -0.1 (b) m (c) 3 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fff when three letters picked without replacement from ffdfdddfffdf?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - s - 4)*(-3*s + 3*s + s) + 128*s**2 + 16708 - 16708.\nAnswer: 127*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 470446?\nAnswer: 2, 71, 3313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 138297210713 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, 10, -5, -92 in decreasing order.\nAnswer: 10, 2, -2, -5, -92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -48*(-2 + (-9)\/(-6)). Let r = -1 + s. Let f = 32 - r. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 344.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 5 - 4*y**3 - 2*y**4 - 4 + 19*y + 6*y**3 to the form z*y**2 + w*y**4 + s*y + h*y**3 + a and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o + 8. What are the prime factors of d(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2\/4 + 7*n\/4 - 2.\nAnswer: (n - 1)*(n + 8)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 86745 and 15.\nAnswer: 86745","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/18 and -61\/6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2.021328 litres?\nAnswer: 2021.328","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -91349.65896 + 20\nAnswer: -91329.65896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -669*q**2 + 1425 - 715 + 339*q**2 + 352*q**2 - 710.\nAnswer: 22*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/4*0 + 2. Let w = 6 + d. Let r = -1 + w. What is the smallest common multiple of 9 and r?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - 13262?\nAnswer: -13265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-5)*(h*h**(-2\/19)\/h)\/h*(h*(h*h**3)\/h*h*h)\/h**(-1)*(h\/h**(-5\/4)*h*h\/h**4)**(-41) assuming h is positive.\nAnswer: h**(-711\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18)\/sqrt(6))**2*-1 - sqrt(363)*-2.\nAnswer: -3 + 22*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 - (-5)\/2)\/(84\/280). Let f = 35.66 - 36. Let z = 0.04 + f. Which is smaller: r or z?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2733, 4, 2\/3 in decreasing order.\nAnswer: 2733, 4, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 170506, 341167, 511828, 682489?\nAnswer: 853150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -1*(sqrt(156)*2*5)\/((sqrt(108)*-1)\/sqrt(9)).\nAnswer: -5 + 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 906 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 4*x + 18 = 0, 0*v - 2*x = -v - 7. Let j be (3\/4 + v)*(-21 - -33). Calculate the highest common factor of 3 and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1cd0 (base 14) to base 4\nAnswer: -1102132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-9)\/27 + 1\/3. Suppose 2*d = 3*d - c - 9, 10 = 5*d + 2*c. Let h + 0*m**3 - 4\/7*m**d + 4\/7*m**2 - 2\/7*m + 2\/7*m**5 = 0. What is m?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*k**(-1\/23)*k*k))\/(k\/(k\/k**(-2))))\/(k**11\/k*k**(1\/5)) assuming k is positive.\nAnswer: k**(-1168\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 11469971 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = n, -2*g + 39 = -5*n + 27. Which is the second smallest value? (a) -1\/3 (b) -1\/10 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -60 + 55. Sort -17, -3, 2, r in descending order.\nAnswer: 2, -3, r, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3399 and 99?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3237 and 83.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*n + 0 + 0)*((-5 + 3 + 1)*(0 + 1 + 1) + (46 + 104 - 23)*(2 - 2 - 2)) as b*n + f and give b.\nAnswer: 1280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19\/6067 + -236721\/1971775. Calculate the common denominator of -27\/455 and d.\nAnswer: 2275","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 132 divide 21375?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by -23.\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 2*r - 21 = 61, -r = 5*l - 211. Suppose -a - l = -4*a. What is the remainder when 27 is divided by a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27979508 to the nearest integer?\nAnswer: 5290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2*839\/18 + 16\/72. Let o = c - -697. List the prime factors of o.\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -15 + (33\/88 - 22\/16). Suppose -4*q + 5*a - 5 - 10 = 0, -2*a - 22 = 4*q. Sort t, q, -4 in decreasing order.\nAnswer: -4, q, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 w when two letters picked without replacement from hrrbwlw?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15.3? (a) -0.1 (b) 18\/185 (c) 5 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 91130\/(-4200) - -22 - (-4)\/(-14). Let n(q) be the third derivative of 0*q**4 + 1\/6*q**3 + i*q**6 - 1\/60*q**5 + 0 - 9*q**2 + 0*q. Give n(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-2))\/((5185\/(-976))\/(-17))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -127 - -123.1. Let j = 0.1 - y. Which is the closest to 0? (a) 0.8 (b) 2\/19 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448)*-2 + sqrt(448))*1.\nAnswer: -8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 19458 divided by -282?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3683 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - 2*x - 217 = -3*o, 4*x = -4*o + 300. Suppose 4*v = -d - d + 64, -5*v + o = 2*d. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -42 - -15. Let d = s + 26.99999949. Round d to 7 dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 12*m**2 - 21*m - 20. Let y(a) = -17*a**2 + 31*a + 30. Let w(l) = -7*s(l) - 5*y(l). What is the remainder when 80 is divided by w(11)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.21962 - 0.222. Round x to three dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7089000 rounded to the nearest 100000?\nAnswer: -7100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 2 u when four letters picked without replacement from puppupupuuuu.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 2*n - 20, -l + 26 = 4*n - 2*l. Let j = -5 + n. Calculate the common denominator of (1\/j)\/((-5)\/(-29)) and -62\/9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 638 and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f + 10 = -7*f. Suppose -10*b + 15 = -f. Let p(z) = -2*z + 1. Let y(s) = 10*s - 5. Determine b*y(i) + 11*p(i).\nAnswer: -2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 - 7*l**2 + 6*l + 6. Let n be (-20)\/110 + 136\/22. Calculate z(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -75 - -80. Find the second derivative of -35*l + 51*l - 22*l**h + 6*l wrt l.\nAnswer: -440*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-3)\/(h*h**(4\/15)))**18 assuming h is positive.\nAnswer: h**(-384\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6\/19 in 3\/8, -0.02, -3?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10074 + -9164. What is the greatest common divisor of 350 and b?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 180 and 24588?\nAnswer: 122940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2*t**3 - 2*t**2 + 2*t + 560. Let v(l) = 2*l**3 - l**2 + l. Give 2*v(o) - w(o).\nAnswer: 2*o**3 - 560","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 - 193*l - 11040. Calculate f(-46).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 - 9 - 334*u + 168*u + 170*u as m*u + y and give y.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*j*n + 2655*j + 119103*n**2 - 38 wrt n?\nAnswer: -2*j + 238206*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*k**2 + 2*k**2 + 0*k**2 + (2*k + 4 - 4)*(-3 + 3 - k) - 8*k**2 - 49218*k + 30*k**2 + 49244*k.\nAnswer: 18*k**2 + 26*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 376\/21 or 18?\nAnswer: 376\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.9265 to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 295714.8 milligrams?\nAnswer: 0.2957148","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 + 8*v**2 + 6*v - 11. Determine m(8).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c + 4*c - 2*c + (-3 + 3 + 1)*(c - 8*c + 6*c))*(4 - 4 - 7*c).\nAnswer: 14*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, y: 2}. What is prob of sequence ry?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -18*n**3 + 91*n**2 - 28*n + 36. What is s(5)?\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 803 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u + 6*u - 3*u)*(170 + 24*u - 170)*(1 + 0 + 0)*(-5 - 1 + 5)*(-u**3 - u**3 + u**3).\nAnswer: -24*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 2*v = -10, -z + 2*z = -4*v. Suppose -4*o + 2 = -g, -1 = -3*g + o + z*o. Which is greater: 3 or g?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 4)*(2*w**3 - 4*w**3 + 9*w - 8*w) - 3*w**3 + 5*w**3 - w**3.\nAnswer: -5*w**3 + 3*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -14, 24, 122, 310, 618, 1076?\n\"Answer: 5*n**3 + 3*n - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00174864 rounded to 4 decimal places?\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.12 - -0.7551134554.\nAnswer: 0.6351134554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 - 3*n + 2. Calculate the smallest common multiple of u(-7) and (6\/15*20\/10)\/((-2)\/(-5)).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -m. Let c be (506\/(-8))\/(1\/(0 - -4)). Let f = 256 + c. Solve m = -2*o - o - 5*z - 9, -3*o = -f*z + 9 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*o + 3*o - 2 - 3*o - o**3 - o**2 + 3*o - 4 to r + x*o**3 + w*o + d*o**2 and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/31262 and 95\/572.\nAnswer: 812812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -383 + 384. Let u = -136 - -147. Which is the closest to -1\/4? (a) k (b) 1\/5 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3301 - -132?\nAnswer: 10033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 117 and 14313.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are 5\/1877 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4079 - 4073. Are a and 198\/41 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1205*f + 3 + 1 - 4 - 1206*f.\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - -2) + 7 + -5 + 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14 is divided by 57\/15 + (-3)\/(-15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -3, -1\/9, -7, -117392?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of 231*p**5\/5 + p**4\/2 - 11*p**3\/3 - 13*p**2 + 1093. Find the third derivative of q(z) wrt z.\nAnswer: 5544*z + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 AM and 9:08 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*w**5 + 5*w**3 - 55*w wrt w?\nAnswer: -40*w**3 + 30*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/((-76)\/(-40) + -2). Let d = z - -321. Let v = 768 - d. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3084 + -3083.8. Which is the nearest to 0.1? (a) -2\/9 (b) -0.08 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/1)\/(2535\/19435)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 16) to base 12\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*(z*(z\/(z\/z**8))\/z)\/z*z*(z\/(((z\/(z*z*z**11))\/z)\/z)*z)\/z)\/(z**(-3)\/(z\/z**3)) assuming z is positive.\nAnswer: z**25","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 15, -g - 2*q = -7*q - 25. Let a be (-2)\/4*g\/(-3 - 2). Solve -3*c = -a*c - s + 9, 6 = 2*s for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -135*f - 78 - 70 + 148.\nAnswer: -135*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 1932*x**3 + 118*x**2 + 33*x + 42. Let r be c(-34). What is r rounded to the nearest 1000000?\nAnswer: -76000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 4:16 PM?\nAnswer: 6:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fpfffeefefffcf. Give prob of picking 1 e, 2 f, and 1 p.\nAnswer: 108\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5218965 and 114823?\nAnswer: 1038574035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 41423934 to the nearest integer?\nAnswer: 6436","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 + 12*s**2 - 14*s - 13. Give u(-13).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*9387\nAnswer: -3754.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27\/(-30))\/(16\/(-40)) - 2.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m - 5*m + 0*m)*(7 + 9 + 25).\nAnswer: -82*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*4 - 308\/(-22) - 6. Suppose 14 = 2*x + 6. What is the greatest common divisor of x and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 15080241 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 73 - 23 = 0. Suppose -6 = -4*u + p. Determine x, given that 0 + 3\/4*x**u + 0*x - 3\/2*x**3 + 3\/4*x**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 5*z - 28 = 2490*a - 2494*a, 14 = 2*a - 3*z for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -517, -469, -421?\n\"Answer: 48*o - 565","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/7 in 0.35, 0.09, -3\/2, -14?\nAnswer: 0.35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 3*d**2 - 3*d + 3. Let f(g) = 18*g**2 - 17*g + 17. Let a(x) = 6*f(x) - 34*s(x). Let w(k) = -3*k. Give a(w(n)).\nAnswer: 54*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 50 = 5*n + 6*s, -2*n - s = -17. Suppose -n*z + 403 = 277. Is 21 not equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4475558.26 to the nearest one hundred thousand.\nAnswer: 4500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -5*j - 22. List the prime factors of p(-11).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 - 4*n**2 + 6*n + 9. Let o = -2 - 4. Let v be l(o). Suppose 2*j + j - v = 0. Is j a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 174 is divided by 35.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of a**3\/3 + 8*a**2 + 21*a - 102. Let i be d(-16). Sort -4, -2, i in decreasing order.\nAnswer: i, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -23*u**3 - 4*u**2 - 5*u + 777053?\nAnswer: -69*u**2 - 8*u - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(3\/2)\/(y*y*y*y**13))**(-25) assuming y is positive.\nAnswer: y**(725\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the second derivative of -n**5\/45 + 10*n**4\/27 + 154*n**3\/9 - 15*n - 83. Factor k(t).\nAnswer: -4*t*(t - 21)*(t + 11)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.583 times -19573?\nAnswer: -11411.059","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -2*p**3 - 222*p**2 + 907*p - 1725. What is z(-115)?\nAnswer: -230","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -0.92. Let h = 10749 + -85989\/8. Sort 0.5, h, q.\nAnswer: q, h, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -4*h - 14. Let r be k(-4). Let o be (7\/14)\/(r\/(-4)). Which is smaller: o or 1\/6?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 40 and 1201240.\nAnswer: 1201240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 + 9*y**2 + 12*y - 12. Suppose -c = 2*c - 30. Calculate the remainder when l(c) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 156933 and 12455?\nAnswer: 784665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.5 - -0.5. Let r = j + 0.00000075. Round r to seven dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3975846763?\nAnswer: 7, 17, 33410477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -77. What are the prime factors of z?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (5 - 2)\/((-9)\/(-30)). Let c = -5 + z. Suppose -u - c*n - 7 = 0, -2 = 4*u + n + 7. Sort u, 0, -1 in decreasing order.\nAnswer: 0, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 18.96507l?\nAnswer: 18965.07","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 69*i**2 + 50*i**2 + 13*i**2. Let z(x) = -5*x**2. What is z(k(u))?\nAnswer: -87120*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -3*x**2 - 80*x + 825. Give g(8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/96*-8)\/(2\/24).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -5*p - 16. Are p and -4 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -23*m**2 + 1150*m - 66113. Let h(t) = -135*t**2 + 6900*t - 396680. Let x(z) = -6*h(z) + 35*j(z). Factor x(p).\nAnswer: 5*(p - 115)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of -85*d**4\/12 - 257*d**3\/6 + 3*d**2 + 2. What is the first derivative of h(y) wrt y?\nAnswer: -170","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 567 and 2919.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -538b - 19?\nAnswer: -53a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -69 - -59. What are the prime factors of -164*(c\/(-4))\/(-5)?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2.8, 2\/237093.\nAnswer: -3, -2.8, 2\/237093","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-10)*((-5)\/(-4))\/((-48)\/(-192))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of -w**3\/15 + 131*w**2\/2 - 654*w\/5 - 8427. Factor x(n).\nAnswer: -(n - 654)*(n - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**2 - 3*u + 89. Let c be z(-11). Put c, 6, -4 in descending order.\nAnswer: 6, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (-5 + 10)) + (5 - (-4 - -2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22 - -95. Suppose 0*c - g = -5*p - c, 0 = -2*p + 4*c + 38. What are the prime factors of p?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36 - (-1562)\/(-44))*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20619 + 20618.9. Let g = 2 + -5. Let u = -4 - g. Sort w, -2, u in descending order.\nAnswer: w, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3140557*k + 56*k**2 - 3140557*k.\nAnswer: 56*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 805318?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70436 divided by -5.\nAnswer: -70436\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 27532203 to the nearest integer?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h = -3*h + 5*b - 31, 0 = -3*h + 4*b - 14. Factor -h*d**2 - 4*d**2 + 5*d**2.\nAnswer: -d**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 11:48 PM?\nAnswer: 8:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -6*r**2 - 3*r - 6 - 2*r - r**3 + 2*r. Let d(v) = -v**3 - 6*v**2 + v. Let u be d(-6). List the prime factors of o(u).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 3*w**2 + w + 2. Let v(n) = -550*n**2 - 33*n + 44. Let l(c) = -33*s(c) - v(c). Find the first derivative of l(f) wrt f.\nAnswer: 902*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**1)\/y)\/(y**(1\/2)\/y))\/(y\/((y**(-2\/25)*y)\/y)*y*y**(-7)) assuming y is positive.\nAnswer: y**(321\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(11\/3575*13). Is 327\/13 >= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5124 - -5123.9. What is the third smallest value in -14, d, 2\/33?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 264 = -8*x. What is the highest common factor of x and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*h**2 - 3*h**2 - 6*h**2 + 2*h**2.\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -181492, -188569, -195646, -202723, -209800, -216877?\n\"Answer: -7077*n - 174415","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 118314 to the nearest integer?\nAnswer: 344","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -3*q + 5*o - 344, 0 = -3*q - 4*o + 530. Suppose -21*x = -8*x - q. List the prime factors of (2 - x\/6)*-297.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -191, -383, -575, -767, -959, -1151?\n\"Answer: -192*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -57564 by -1599.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the third derivative of 0*b + 3*b**2 + 0 + 1\/6*b**3 - 1\/12*b**5 - 1\/120*b**6 + 0*b**4. Let j = -43 + 38. Give a(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9591, -7809, -6017, -4209, -2379, -521?\nAnswer: 1371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 114\/7*(-56)\/(-2). What are the prime factors of 20\/8*r\/10?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**5\/w)\/w)**(-29) assuming w is positive.\nAnswer: w**(-87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of -2*h**5\/5 - 5*h**2\/2 + 8*h. What is the first derivative of r(n) wrt n?\nAnswer: -24*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 8*t = -5*t + 8, -2*j + 8 = -5*t for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 411, 0, 0.06, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 704.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 24615?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1391, 1374, 1355, 1334, 1311, 1286, 1259?\nAnswer: 1230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*m - 2215 = 6*m. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 1202 + 6222. Calculate the highest common divisor of 58 and y.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 907288107?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 45b56 - 4?\nAnswer: 45b52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -152 - -141. Is 2\/3 bigger than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 + 5*o**2 - o - 5. Let l be n(4). Suppose -3 = -2*v - h, -2*v = -l*v - 3*h + 7. Let i(s) = 2*s**v - s**2 + s**2. Let q(d) = -d**2. Give q(i(t)).\nAnswer: -4*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y. Let q(t) = 4*t**2 - 104688426. Determine r(q(l)).\nAnswer: -4*l**2 + 104688426","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 4*s = 11, 0 = 96*y - 3*s + 768 + 321 - 606 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 31*y**3 + 96*y**3 + 1 - 3 + 309*y**3.\nAnswer: 374*y**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are -6 and 2\/5115 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*z - 17*z - 60 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x**(2\/5)\/x*x))**13*(x**0)**(-11) assuming x is positive.\nAnswer: x**(39\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 680058 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000779 to 4 decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -129, -569, -1743, -4011, -7733?\n\"Answer: -60*j**3 - 7*j**2 + j - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 5*k - 30, 2*c - 4*k + 19 = 3*c. What is the closest to 1\/6 in c, -2, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 27 + -27. What is the nearest to 0 in s, -0.3, 10?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -5*d. Let v(f) = -891*f**2 - 2*f - 2. Determine v(o(q)).\nAnswer: -22275*q**2 + 10*q - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3355, -13236, -29557, -52198, -81039, -115960, -156841?\n\"Answer: 20*z**3 - 3340*z**2 - z - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + h + h = 172, 0 = -4*p - 4*h - 652. Let k = 235 + p. Is 7 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 2*g = -2*g + 12, 0 = 4*g + 8. Suppose 3*n = -5*f - 11700015, -n - 2*n = c*f + 9360015. What is f rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 PM and 2:03 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -16720, 356, 3, -5 in decreasing order.\nAnswer: 356, 3, -5, -16720","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 = -l - l. Let s = 62 - l. List the prime factors of s.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 - 2*o**2 + 51*o - 607. Let v be a(7). What is the closest to 21 in 11\/2, 1, v?\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of v**4\/4 + 10*v**3\/3 + v**2 - 5*v + 2. Is a(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.651 and 5.\nAnswer: -3.255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7094261 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1629 by 1629.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, q: 1, h: 2}. Give prob of sequence vq.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 - 18*t + 1. Let i be s(18). Solve -j - 4 = i for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 1:18 PM?\nAnswer: 10:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -20449\/10 - 143\/5*x - 1\/10*x**2 = 0.\nAnswer: -143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(-5 - -2)*1. Suppose -95 = -13*x - 6*x. What is the closest to 0.2 in x, l, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20467 minus -5?\nAnswer: -20462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 + 127. Let b(s) = 6*s. What is n(b(l))?\nAnswer: -36*l**2 + 127","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 234*t - 246*t - 60. Does 41 divide (-12 - t - -6)*2464\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 2*k**3 - k**2 - k - 4. Determine r(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -27022672*b**2. Let f(y) = -4*y. What is f(z(w))?\nAnswer: 108090688*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78)\/(sqrt(6) + sqrt(54)) - (-1*sqrt(91))\/sqrt(7) - 3*(sqrt(13) - (5 + sqrt(208)) - sqrt(13)))**2.\nAnswer: 795*sqrt(13)\/2 + 40117\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 11436*w**2 + 114*w - 816. Let j be m(8). What is j rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express r + 0*r + r + (1 + 0 + 0)*(-4 - r + 4) + 6*r + 4*r + 9*r in the form f + z*r and give z.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88 - 130 = -14*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 550, 570, 588, 604, 618?\nAnswer: 630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 201133560 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-41)\/(-123))\/((-134)\/(-132) - 1). Suppose -8*o = -b*o + 14. What are the prime factors of (-1120)\/64*(-5 - o)?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1104 divide 1664832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 52 + 4. Calculate the remainder when 59 is divided by k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -5*x - 17. Let f be j(-5). Let d(n) = -n**3 + 7*n**2 + 14*n - 32. Let l be d(f). Solve 5*o + 2*t - l = 0, 3*t - 4 = -3*o + 2 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 9220303 and 0.4.\nAnswer: 9220303.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14986 - -14991. Which is greater: l or 1\/406?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33, -316, -789, -1452, -2305?\nAnswer: -3348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 10:28 AM?\nAnswer: 12:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 13362.582.\nAnswer: 26725.164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 5*o**2 + 4*o + 12. Let s(t) = -4*t**2 - 3*t - 13. Suppose -4*y - 14 = f, -71*y = -73*y - 2*f - 10. What is y*z(i) - 4*s(i)?\nAnswer: i**2 + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (0 - ((3 - 0) + 0))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 922 and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 30225334 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -f**3\/4 + 9*f**2\/4 + 817*f\/4 - 825\/4 = 0.\nAnswer: -25, 1, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(3\/2)\/z)\/z*(((z\/((z**(-1\/29)*z*z)\/z))\/z)\/z*z)\/z assuming z is positive.\nAnswer: z**(-85\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 - 7919159796.\nAnswer: -7919159795.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 6*y**3 - 16*y**2 + 16*y - 60. Let m be x(6). What is the greatest common factor of 56 and m?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 3 j when four letters picked without replacement from {j: 3, w: 2, l: 4}.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 265757 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -2*j**2. Let t(q) be the third derivative of 0*q + 0 + 0*q**3 + 12*q**2 + 7\/24*q**4. Give a(t(i)).\nAnswer: -98*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 6 = -5*p, 35*k - 39*k + 8 = 4*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, s: 5, j: 2, q: 3, c: 3}. What is prob of picking 1 c and 1 u?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -9 + 3 + 350\/2 is divided by 29?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/28)\/(((-55)\/20)\/11)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b**2 + 557835*b - 557840 = 0 for b.\nAnswer: -111568, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -37751, -150854, -339359, -603266, -942575, -1357286, -1847399?\n\"Answer: -37701*f**2 - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -40*z**2 - 16*z + 26 - 18 - z**3 + 126. Is l(-40) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(264)\/(sqrt(24)\/sqrt(2) + sqrt(12) - sqrt(12))*-5)\/(-2*sqrt(200) + sqrt(200) + sqrt(200)*-2 + sqrt(200)).\nAnswer: sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2282, 2280, 2278, 2276, 2274, 2272?\nAnswer: 2270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 264744?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -557721 or -557718?\nAnswer: -557718","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j**3 + 6114*j**2 + 30663*j - 36774 = 0.\nAnswer: -6, 1, 2043","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 17*d**3 + 4*d**2 + 6*d - 34. Let v(q) = 37*q**3 + 10*q**2 + 13*q - 66. What is 13*i(y) - 6*v(y)?\nAnswer: -y**3 - 8*y**2 - 46","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 225 - 224.33. Let l = -2.1 - -2.43. Let z = c + l. What is the fourth biggest value in 0.1, -3, 1\/5, z?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -18*p + 2*p + 78 - 270 for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, 24, 56, 100, 156, 224?\nAnswer: 304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3856 + -3695. What is the remainder when c is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 115, 483, 1097, 1957, 3063, 4415, 6013?\n\"Answer: 123*x**2 - x - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -120, -126, -144, -180, -240, -330, -456, -624?\n\"Answer: -i**3 + i - 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 5\/4 of a meter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 292*c**3 - 1614*c**2 + 2088*c - 56 = 0.\nAnswer: 2\/73, 2, 7\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7 - 16\/((-8)\/(-2)). Suppose g*t + 8 = -t. What is the tens digit of 56 + (t - 1)*1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -30\/11, -1, 1\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -67 times 41?\nAnswer: -2747","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a**5 - 441*a**4 + 57*a**3 + 8289*a**2 - 13230*a = 0. Calculate a.\nAnswer: -147, -5, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3739?\nAnswer: 3739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 + 17*j**2 - 45*j - 24. Calculate h(-19).\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17330207, -17330182, -17330157?\nAnswer: -17330132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -5*m - 11, -3*m - z - 16 = -7. Let q = -4 - m. Find the third derivative of 5*s**2 + q*s**4 + 2*s**4 - 2*s**2 wrt s.\nAnswer: 48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2*j - 11. Let o be r(-8). Suppose 2*i + 1 = 5. What is the third biggest value in o, i, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3\/34 + -77\/102. Let b = 0.9766 - 63.9466. Let w = 63 + b. Which is bigger: w or y?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 13\/4 of a microgram?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 64.2 - 35.36. Let b = j + 0.16. Let g = -28.8 + b. What is the smallest value in -0.3, g, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 50? (a) 11 (b) 2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 - 8. Sort h, -3, -12 in ascending order.\nAnswer: -12, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*x + 6*x + 20. Suppose 2*i**2 - i**3 - 8*i + x*i - 2*i**4 + 5*i**3 = 0. What is i?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16864 and 384.\nAnswer: 202368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2911\/14 - -202. What is the common denominator of d and 202\/63 + 6\/27?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - -1001001101010110?\nAnswer: 1001001101010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*c**2*x**2 + 57328*c**2 + 3*c + 1984437*x**2 + 10 with respect to x.\nAnswer: -10*c**2*x + 3968874*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17)\/12*125104\/75956.\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-5734)\/244)\/(-10*11\/(-220)*(-1)\/(-1))\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.94*36.\nAnswer: -33.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6559340, -6559196, -6559050, -6558902, -6558752, -6558600, -6558446?\nAnswer: -6558290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19 - -9. Solve -5*y + v = 3*s, y = -4*y + 2*s + 23 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 v when four letters picked without replacement from wkkrvrvvrrwv.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1 - 0.9. Let j = -17 - -16.9. Let m be ((-4)\/(-16))\/((-3)\/4). Which is the nearest to p? (a) j (b) -5\/4 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (426 + 1)\/((-124)\/(-930)*(-10)\/(-28)).\nAnswer: 3, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, j: 2, m: 4, t: 4, u: 1, i: 2}. Give prob of sequence mtm.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, -4, 22, -5 in increasing order.\nAnswer: -5, -4, 20, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of h**5\/30 - 2*h**2. Let q be (8 - 4)*1\/2. Let z(s) = -q*s + 5*s - s. Give z(p(j)).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -344092, -688187, -1032282, -1376377, -1720472, -2064567?\n\"Answer: -344095*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 7*i**2 - 5*i + 4. Let d be a(2). Is (92\/8)\/(1\/d) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-2\/19))**(11\/5)\/((m*m\/m**(-7\/5))\/(m*m**(-3\/10))) assuming m is positive.\nAnswer: m**(-139\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 27818556?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 AM and 2:37 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -44.51 to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 8051, 8041, 8041, 8057, 8095, 8161, 8261?\n\"Answer: x**3 - x**2 - 14*x + 8065","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-128)\/(-6)*-30*((-9309)\/580 - -16)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {a: 7, g: 3, f: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 74 = -4*c, 5*l - 31 = -4*c - 56. What is the nearest to -2 in 5, c, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -0.7, 0.5, 0, -85.1 in descending order.\nAnswer: 1, 0.5, 0, -0.7, -85.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -800000 to the nearest ten thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30149675 and 775?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of 2*t + 2\/3*t**3 - 6 - 2*t**2. Factor q(f).\nAnswer: 2*(f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -114*h**2*n**3 + 3*h**2*n*z - h*n**3*z - 15*h*n**2 wrt n.\nAnswer: -684*h**2 - 6*h*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*p**3 + p + 2*p**2 + 0*p + 2 + 3*p to s*p + f*p**3 + o + i*p**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*w - 17*w = 15, 0 = h - 3*w - 22. Let u = -21 + 37. What is the remainder when h is divided by u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of -r**6\/432 + 5*r**4\/144 - 8*r**3 + 243. Let f(q) be the third derivative of g(q). What is h in f(h) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 - 15*w**2 - 19*w - 269. Let g be j(-15). Which is greater: g or -5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.02 in 1, -22, 21?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.229 rounded to 2 decimal places?\nAnswer: -4.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 5410*((-2)\/10)\/((-22)\/44)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/66*51\/17*(-116)\/(-29).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9657\/14 + 4839\/7. Find h, given that 441\/2*h**2 - 63\/2*h**3 + q*h**4 - 1029\/2*h + 0 = 0.\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -531 divided by 10300?\nAnswer: -531\/10300","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -10420232 (base 5) in base 14?\nAnswer: -25714","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d**2 - 79 + 3*d**2 - 49 + 0*d**2.\nAnswer: d**2 - 128","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 5*g - 352 + 116, -3*a = 2*g - 101. What is f in 38*f**2 + 188*f + 108 + 64*f - 126*f**3 + f**2 + g*f**4 - 19*f**4 = 0?\nAnswer: -2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 899.303047 to the nearest ten.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -189*t - 201*t + 380*t + 275880. What are the prime factors of t?\nAnswer: 2, 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 384 and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3723*s**2 - 161612*s + 6332.\nAnswer: (51*s - 2)*(73*s - 3166)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 14 = 2*k, -3*o - 9*k + 5*k + 21 = 0. Solve 9*x = o*x - 2*v + 12, -3*v = -12 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 9*j = 0. Suppose 21 = 7*h - j. Calculate the highest common divisor of h and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19656\/336*(-12)\/(-39)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-14)*924\/(-13068).\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (208\/(-65))\/((-3)\/45). Calculate the highest common factor of r and 432.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -7*m + 3. Let g(i) = i. Give 6*g(d) + t(d).\nAnswer: -d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, j: 8, o: 3, k: 2}. Give prob of picking 1 j and 1 k.\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 2390 = -7*a. Let h = -2627\/11 - a. Suppose 6\/11*x**2 - 6\/11*x - 2\/11*x**3 + h = 0. What is x?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -2*z**5 - 6*z**4 + 4*z**4 + 2*z**5 + 2*z**5 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 0. Let c = x + 1.03. Let h = -0.07 - c. Is -1 equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 + 15*n**2 + 10*n - 20. Let z be s(15). Suppose -z = 13*k - 18*k. Calculate the remainder when k is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-10)\/100 + (-15782)\/(-20) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1478924\/(-6)*(27 + (-1710)\/60) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 314313?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 1 - (8 - 2 - 6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 8\/10*(-100)\/40\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 - 6*g**2 + g - 14. Is z(-16) a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1737 - 541 - 2473 - 710)*(9*y - 5 + 5) in the form o + m*y and give m.\nAnswer: -49149","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 320728 and 5170.\nAnswer: 17640040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23.98 + 24. Let z = 10 - 6. Let l = 7 - z. What is the closest to 1 in l, -5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -13*x**3 + x. Let s(f) be the first derivative of -27*f**4\/4 + 3*f**2\/2 + 2. Let o(g) = -13*i(g) + 6*s(g). Find the second derivative of o(b) wrt b.\nAnswer: 42*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -214419, -214829, -215239, -215649, -216059, -216469?\nAnswer: -216879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 + 33\/3)*12. Suppose 2*w - 6*w + k = 0. Is 26 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 660 - 65. What are the prime factors of l?\nAnswer: 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 158, 374, 590?\n\"Answer: 216*h - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/6)\/((-9)\/2664). Let i = -121 + z. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -26*v + 6. Let x be y(-5). Suppose -i = 95 + x. Let m be (-9)\/(-15) + i\/(-15). Solve -m = 2*c + 2*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 + 52 = -24*j. Let s = 7 + -7.1. Which is the biggest value? (a) 0 (b) j (c) s (d) 15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x = 6*x + 104. Let w = -26 + x. Suppose 33*o - 29*o - 92 = w. List the prime factors of o.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 + 64*y + 1495. Let w be u(0). Calculate the highest common factor of 46 and w.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 6:20 PM?\nAnswer: 11:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -4a (base 14) in base 11?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 33*v + 2811. Calculate the smallest common multiple of 268 and g(-6).\nAnswer: 10452","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 - 27*s + 26. Let t be p(26). Solve t*g = 4*z + g + 11, 3*z - 6 = 4*g for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13363\/10 + -1335. Let y be -2 - -1 - (-26)\/2. What is the common denominator of (-93)\/y*1\/(-3) and b?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6605984190.\nAnswer: 2, 3, 5, 13, 107, 158303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 7*z**2 + 4943*z + 14840. Calculate q(-3).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 5*g + 228. Let d be p(-45). Suppose -d*c + 1831 = -1265. Round c to the nearest one hundred.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 193 = -3*k + 3*y - 1709, y = -k - 630. Let q = 250 - k. Is 21 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = 5*w + 18, 62 = 4*w + 3*q + 64 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 423 divide 6641390?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.02145386 + -0.036.\nAnswer: -0.05745386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k - 1. Suppose -9 = -0*s + 3*s. Let i(l) = -l**2 + 2*l + 4. Let q(p) = s*j(p) - i(p). Let r(t) = -t**3 + 3*t**2 + 2. Let u be r(3). Give q(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5 - 13)*(-q - 1 + 1 + (-1 + 2*q + 1)*(0 + 2 - 4) - 2*q - 2*q + 3*q + 0*q - 3*q + 4*q - 7*q + 2*q + q + 4 + q - 4).\nAnswer: 136*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.4316198 and 2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1453\/4 + 365. Let w be (-2)\/(-21) + (-64)\/(-210) - 0. Let o be 32\/36 - (-4)\/(-18). Which is the second biggest value? (a) w (b) o (c) s (d) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 18 + -35 + 34?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d + 30 - 30)*(0 - d**2 + 0) + (-d**2 + 4*d**2 - 5*d**2)*(4*d + 0*d - 2*d).\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 165123*d**3*u**5 - 15*d**3*u**3 + 435*d**3*u - 2*d**3 - 44*d**2*u + d*u - d wrt u?\nAnswer: 3302460*d**3*u**3 - 90*d**3*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5322789413 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the third derivative of z**9\/120960 - z**8\/40320 + 17*z**5\/60 + 19*z**2. Let x(v) be the third derivative of s(v). Let x(d) = 0. What is d?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v - o + 16, 0 = -v - 0*o - o. Suppose n + z = 3*z + 2923, -v*n + 11681 = 3*z. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 1)*(26 - 26 + 6*l).\nAnswer: 6*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*d**2 + 4*d + 6*d**2 - 14*d**2 + 2*d + 7*d**2 + 26.\nAnswer: 5*d**2 + 6*d + 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 15*b**5 - 3095*b**4 + 157045*b**3 + 269355*b**2 + 55120*b - 54080 = 0. What is b?\nAnswer: -1, 1\/3, 104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/2019 and -35\/802216?\nAnswer: 2406648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*b + 35 + 55. Let x(i) be the first derivative of -8 + 0*i**4 - 6\/5*i**b - 17\/3*i**3 + 0*i**2 + 0*i. Find the third derivative of x(q) wrt q.\nAnswer: -144*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 447125, 447117, 447103, 447083?\nAnswer: 447057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -109\/2, 1\/2, -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 681 + -11579\/17. Let j be (-5)\/(-35) - (-370)\/(-140). What is the closest to -11 in -1\/7, -3, j, r?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3936, 1\/5, -4, -4\/5, 12\/7, -5, -2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 520541455 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 2*g + 24. Let y be (6 + -2)\/(g\/(-4)). Factor 0 + 1\/2*i**y - 7\/4*i**3 + 0*i.\nAnswer: -i**2*(7*i - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 PM and 5:52 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*((-10)\/(-20))\/((-10)\/80).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20217*z**5 + 3*z**4 - 2*z**3 + 6376*z**2 - 1 wrt z?\nAnswer: 1213020*z**2 + 72*z - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -3*d. Let f be 54\/(-7) - (-4)\/(-14). Let t be f\/(-2)*4\/8. Let a(x) = -4*x**t + x**2 + 6*x**2. Calculate a(m(o)).\nAnswer: 27*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -83*g + 15. Let b be s(-3). Let r be (-818)\/b + 30\/165. Which is bigger: r or -3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 0.4 (c) -24.7 (d) 0 (e) -3051\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 0. Let z be 8\/(-28) - r\/7. Let v = 7 + z. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 984*n**2 - 1516*n**2 - 3 + 14*n - 16*n to l*n**2 + i*n + h and give l.\nAnswer: -532","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 5*i - 7. Let w = 26 - 24. Let q be r(w). Suppose -4*f - 16 = q*m, 3*m + 5*f + 8 = 3*f. Solve 0 = -x - m*x - 3 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of s**7\/7 + 37*s**4\/4 + 43*s**3\/3 + 2*s**2 - 181. Find the third derivative of t(i) wrt i.\nAnswer: 120*i**3 + 222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1458 - 4370\/3. Which is the second biggest value? (a) 5 (b) 17 (c) g (d) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 + 2*j**2 - 2*j. Let v(i) = -34*i**3 - 25*i**2 + 4*i. What is -2*k(h) - v(h)?\nAnswer: 32*h**3 + 21*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -9 + (-72 - -72) + -31 + 3 + -3\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2344 = -k - 3*k. Suppose 7*f - 9*f = -k. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 121?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(-2) - (4 + -1). Suppose -2*o = q, -4 = 4*c - 6*c - 4*o. Solve 4*g - c*s + 22 = 0, -2*g + 4*s - 32 = 3*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9985920 a multiple of 1120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**0)**28)**22 assuming m is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zllyl. What is prob of picking 2 l, 1 y, and 1 z?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 PM and 2:13 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 37 + -30. Let a be o + 2 + (-6 - 0). Suppose -18 - a = -7*m. Solve -m*d = -8*d - 5 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15224 and 176.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 18112 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-1*sqrt(700) + 3)**2 + (sqrt(175) - (sqrt(175) - (-1*sqrt(175) - sqrt(175))))**2*-4 + 4.\nAnswer: -4923 + 180*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -10982 to the nearest one hundred.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-80)*4)\/((-1)\/(-10))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -7*k - k**2 + 379 - 384 + 2*k**2 + 0*k**2. Let x(j) = -j**2 + 8*j + 6. Suppose p - g = -4*g + 11, -p = -4*g + 3. Calculate p*x(q) + 6*i(q).\nAnswer: q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 64*0.7\nAnswer: 44.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g - 9. Let r be k(-9). Suppose 0 = -x + 2 - r. Let d = x - -1. Which is the third biggest value? (a) 5 (b) 0.2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.25 in -3, -1, -1\/5, 6\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 19*o - 11. Let z be u(8). Let v(y) = -z*y + 141*y + 2*y**2. Let k(f) = -18*f. What is v(k(c))?\nAnswer: 648*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 48, 10, 5, 4 in ascending order.\nAnswer: 4, 5, 10, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 196 and 56?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2 - 34554*f - 587129.\nAnswer: -(f + 17)*(f + 34537)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/4*630\/(-135). Solve -2*r - f = -13 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2611179?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rcrrcimrrg. Give prob of sequence cir.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 99440737*f**2 - 41070055 wrt f.\nAnswer: 198881474*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 6\/(-10) + (-9)\/(-315)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 3055 = -2*n, 0 = -2*y - 5*n + 2*n + 1241. Let j = y + -346. Suppose 0 = -4*v - 5*c + j, v - 2*c - 274 = -3*v. Is 14 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1625737?\nAnswer: 709, 2293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -620 - 729 = -71*o for o.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 - 1 - -3*(-1)\/(-3). Let p = -1 + -2. Let l = p + 4. Sort l, j, -1\/2 in ascending order.\nAnswer: j, -1\/2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - (-1 + -2))*(-73)\/(-2). Factor -i + 65 - 4*a + 24*a**2 + 4*a**3 - 16*a**2.\nAnswer: 4*(a - 1)*(a + 1)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 559, 549, 539, 529, 519?\nAnswer: 509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 2\/125 of a kilometer?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1688476*g**2 + 136597*g + 1 wrt g.\nAnswer: -3376952","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 + -55\/7. What is the second biggest value in 2\/3, j, 5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 AM and 12:44 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 - 20. Let s be ((-63)\/n)\/(2\/(-6)). Let g = 1224 + -1250. Is g at most as big as s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-33952156)\/(-104) - 10\/260 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 13) to base 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 928022912 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-28)\/(-5))\/(-7))\/((-2)\/(-5)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9499501 years in centuries?\nAnswer: 0.009499501","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 268319 is divided by 89439.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1765?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12519, 12511, 12503, 12495, 12487?\nAnswer: 12479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1303516500 rounded to the nearest one million?\nAnswer: 1304000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(-5 - -2)*4. Suppose -2*p - 3*c = -245, -t*p + 4*c + 497 = 3*c. Round p to the nearest 10.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48228351?\nAnswer: 3, 16076117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -174 (b) -0.4 (c) -1 (d) -38\/9 (e) -0.34\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 231314243 (base 5) in base 16?\nAnswer: fe59f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*l + 10, -8 = 5*j + 63*l - 62*l for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -27*s**3 + 4493730*s**2 + 20472057*s - 9986340 = 0.\nAnswer: -5, 4\/9, 166439","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23 - 25. What is the second biggest value in 5, d, 2\/3, 0.2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 618734383 to the nearest integer?\nAnswer: 24874","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5749?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -4*k**2. Let b(t) be the first derivative of 0*t - 4 - 1\/2*t**2. Calculate b(p(v)).\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -32 + 32.00000094. What is o rounded to seven decimal places?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 393508941?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 12\/25 of a milligram?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t - 47. Let y(j) = j**3 + 41*j**2 - 130*j + 98. Let w be y(-44). Let s(q) = -w + 282*q + 10 - 284*q. Give l(s(r)).\nAnswer: -2*r - 47","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9353 + 15895. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h - 6*h + h**4 + 0*h**4)*(11 - 11 - h).\nAnswer: -h**5 + 2*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2494325 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 90.38523nm?\nAnswer: 0.09038523","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9809?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (i**2 - 2*i**2 + 2*i**2)*(3 + 0 - 5)*(4*i**2 + 0*i**2 - 6*i**2) in the form k*i**2 + r + p*i + l*i**4 + g*i**3 and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - 2 - (-29 + 9 + 33)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 42 + -41.79. Let n = 0.209985 - v. Round n to five decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -4. Let v = 425 + -443.3. Let s = v - -18.6. Which is the nearest to -5? (a) 5 (b) s (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 + j**2 - 11*j + 9. Give g(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 149*o - 60 + 5\/2*o**2 = 0?\nAnswer: -60, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sl when two letters picked without replacement from llslllllslsl?\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = -8*k. Suppose k*b + 2 = n + 5*b, 4*n - 8 = 5*b. Suppose 0 = -2*t - 6, n*c - 5*t - 7043 = -2*c. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95 + -98 - (21 - (0 + -9 - (17 + -23)))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 204509021 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 19855 to the power of 1\/2, to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21301945 by -9785.\nAnswer: -2177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 - 4*u**2 + 8*u + 12. Let c be a(-5). What is the biggest value in c, -0.1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 520503 is divided by 111?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 6*w + 4*x + 13, 4*x + 3 = -5*w. What is the third smallest value in 29\/5, -1, w, -2\/3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 2*k + 5 = 21, -3*n = -2*k + 26. Is -19 > n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.6, -5, 17, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1380\/8970*(326 - 1).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o = 125 + 43. Let s be (1 + (-56)\/o)\/((-5)\/6). Let k(v) = 18*v**2 - 5*v - s*v - 31*v**2 + 12*v**2 - 4. Determine k(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 51\/4 of a meter?\nAnswer: 1275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 divided by -8.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32*k**4 + 690 + 44*k**4 - 10*k**4)*(k + 2*k + 0*k).\nAnswer: 6*k**5 + 2070*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 9, f: 2, l: 5}. What is prob of picking 1 l and 1 f?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 212 + -194. Let i be (2\/9)\/((-12)\/s + 1). Factor -i*q**2 + 8\/9 + 2\/9*q**3 + 0*q.\nAnswer: 2*(q - 2)**2*(q + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(1 + sqrt(48)) - (sqrt(75) + 1 + 1*sqrt(75))**2.\nAnswer: -305 - 36*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v = -2*v, -6 = -3*d + 5*v. Suppose 4*c + d*i - 6 = 0, 0 = -4*i - 3 - 1. Suppose c = -2*q + 6. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence naa when three letters picked without replacement from {s: 2, o: 2, n: 4, a: 8}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 9 + -5 + (-2 - 9) - -3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4631 and 253.\nAnswer: 106513","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of 11*y**4\/16 + 9*y**3\/8 - 3*y**2\/4 + 10*y. Factor c(w).\nAnswer: 3*(w + 1)*(11*w - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + -6. Let c be (-6 - 0)\/r - 2. Suppose -71 = -5*a - c*o, 2*a - 5*o - 6 = -o. Calculate the lowest common multiple of a and 9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -7*m**2 - 23*m - 6. Let p be d(-3). Sort -0.4, -4, p, -3\/11 in increasing order.\nAnswer: -4, -0.4, -3\/11, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.39 * 0.6\nAnswer: 0.234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-3) - 13\/(-3). Solve -w - h*w = -20 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 7*r - 3*r + 5753, -2*r - 4 = 0. Suppose -o = -4*n - 395, -3*o + 5*n - 2*n = -p. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.2 (b) 0.1 (c) -2 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*j*z - 60507*j + 369*z**2 + 7*z with respect to z.\nAnswer: -2*j + 738*z + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1.9, 2\/34743, 13?\nAnswer: 2\/34743","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/5 of a hour?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -196507, 2, -20 in ascending order.\nAnswer: -196507, -20, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15 and 4600.\nAnswer: 13800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 3*k = -27 + 4, w - 4*k + 28 = 0. Let r = -23 + 51. Calculate the remainder when (w + r)\/(4\/26) is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 326 - 221. Let f = 74 - h. What is the tens digit of ((-6)\/3)\/2*f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 11:09 PM?\nAnswer: 2:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2580 = -4*l - 8*l. Let q = 616 + l. Is 36 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*r**3 + 1096*r**2 + 11323*r wrt r?\nAnswer: -18*r + 2192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 833118025 to the nearest integer?\nAnswer: 28864","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f - f + 3*f)*(-2*f**3 - 847*f - 2*f**3 + 869*f).\nAnswer: 8*f**4 - 44*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f + 1. Let r(l) = 240*l - 15. Calculate 15*k(d) + r(d).\nAnswer: 225*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9018234 or -9018237?\nAnswer: -9018234","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/264)\/((-3)\/18)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.922 to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m + 2*m - 4*m)*(2 + 0 - 1) + 5*m + 1 - 7*m - 4*m.\nAnswer: -7*m + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 304 + 20?\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of -3*a**4 - 247*a**3 - 5673*a**2 + 2883*a + 532. Solve t(m) = 0 for m.\nAnswer: -31, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2010 + 2017. Solve -12*g - 30 = -l*g for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 + 7.1?\nAnswer: 25.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -133 + 137.92. Let v = u - 4.6. What is v rounded to 1 decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 15) to base 10\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-4)*(-128)\/816.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 20069083 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 124*p = -58*p + 890 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a - 100 = 3*a. Let m = -2 - -12. Suppose -3*o + m = -o. What is the greatest common factor of o and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21\/(-13 + 330198\/25399).\nAnswer: 3, 7, 2309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 2*p - 3. What is the units digit of -1 + 15\/(p + 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.4667 * 0.199.\nAnswer: 0.4908733","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + 2.8. Let b = c - 0.8. Let w = 0.5 + b. What is the closest to 0 in -2, -2\/11, w?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 62218 + -62218.0999992. Let i = 0.3 - 0.4. Let n = b - i. What is n rounded to six decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -921 - -924. What is the closest to -0.1 in -0.3, 2, 8, i?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 160 + -80. Suppose -4*c = -5*l + 100, -4*l + v = c - 4*c. Calculate the least common multiple of 16 and l.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -38*a - 20. Let q(o) = 10. Let n(v) = -57. Let p(m) = 6*n(m) + 34*q(m). Let b(f) = 2*c(f) - 4*p(f). What is the derivative of b(k) wrt k?\nAnswer: -76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -29*d**2. Let g(z) be the second derivative of -13*z**4\/12 + 151*z. Give g(t(a)).\nAnswer: -10933*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 l when two letters picked without replacement from {l: 1, o: 4, x: 1, r: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/22 and 530\/(-480)*9\/12.\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23.954427 rounded to two decimal places?\nAnswer: -23.95","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 + 33\/15 - (-1180)\/100. Let k be (12\/q)\/(-1 + (-2 - -2)). Let s(h) be the first derivative of -h**2 - h - 2. Determine s(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(34) + sqrt(34) + (sqrt(102)*-5)\/sqrt(3))\/sqrt(2) + 4.\nAnswer: -3*sqrt(17) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 5*(sqrt(405) + (sqrt(405) - (-3 + sqrt(405)*-2))**2 - (-3*(sqrt(405) + 1))**2).\nAnswer: 3 + 45*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 436 is divided by 132?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-12\/11)\/w**(-13))\/(w\/w**(-2\/11)*w)**(-6) assuming w is positive.\nAnswer: w**25","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 1. Let q(u) = 5*u + 3. Suppose 532*s = 553*s + 84. Give s*m(b) - q(b).\nAnswer: -5*b - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -412444088 + 1?\nAnswer: -412444087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -2 (b) 23885 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.382 - 198.618. Let f = 198.045 + w. What is f rounded to 1 dp?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjjjjjjjjjhj. What is prob of picking 1 j and 1 h?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -42*c*r**4 - 2*c*r**3 - 1442*c*r - c + 5*r**4 wrt r.\nAnswer: -504*c*r**2 - 12*c*r + 60*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -70 - -100. Suppose 4*w - 3083 - 1483 = -5*y, 4*y - w = 3657. Is y\/10 + (-12)\/i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -5*w - 8, -5*m = 2*w - w - 8. Solve -c = m*c + 9 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -3992.511?\nAnswer: -3992.511","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l**2 + 28*l + 26. Let g be r(15). Let j = 5.72 + -0.72. What is the nearest to j in -2\/7, g, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 27 and 94?\nAnswer: 2538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 1:04 PM?\nAnswer: 12:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 2*h**2 - 2*h + 1. Let b(t) = -3*t**2 + 3*t - 1. Let f = 478 - 475. Determine f*b(c) + 5*y(c).\nAnswer: c**2 - c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of -s**6\/180 - 2*s**5\/45 - 5*s**4\/36 - 2*s**3\/9 + s**2 + 36. Solve d(j) = 0 for j.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1666800?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -7*t - 1. Let f(m) = -m + 1. Let d(k) = -6*f(k) + l(k). Let z be d(-7). Let g = 101 - 97. Solve q + z*q = g for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 2*b**2 + b + 1. Let u be s(-2). Let o be 6\/(-2)*u\/(-3). Let d be -2*(-4 - (-41)\/(-2)). What is the greatest common factor of o and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 446596942?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -125*d - 20*d + 33*d.\nAnswer: -112*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2299*j**3 - 1150*j**3 - 3354*j**3.\nAnswer: -6803*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 + (-23 - (0 + 1 + (128 - 138)))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i - 5. Suppose -4 = 4*j - 12. Suppose v = -j*v - 21. What is the remainder when 2 is divided by h(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -48*s - 335*s + s**3 + 0*s**4 + s**4 + s**4 + 94*s in the form i*s**3 + y*s**4 + o + m*s**2 + h*s and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -844569 (base 12) in base 2?\nAnswer: -111111100001000100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 74320.28l?\nAnswer: 74320280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 81797 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -476 + 672. Calculate the greatest common divisor of b and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13375, 13373, 13371, 13369, 13367?\nAnswer: 13365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 AM and 12:15 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(7))*-3 - (-1 + -1*sqrt(7) + sqrt(7) + sqrt(7) + sqrt(7)))**2.\nAnswer: -40*sqrt(7) + 191","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 307 a factor of 12201043?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 689466 and 18?\nAnswer: 2068398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1920 and 7220.\nAnswer: 693120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2*j + 16. Give h(-11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/17779735 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(-6)*1*-4. Suppose -4*f = -5*s + 63, -4*f + f - 28 = -2*s. Suppose -s = -w*u - 3. What is the highest common factor of 8 and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4098768*q**5 - 2*q**4 - q**3 + 2*q**2 + 194454*q + 174.\nAnswer: 245926080*q**2 - 48*q - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5590072 divided by 2?\nAnswer: 2795036","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/60*(-308)\/(-21)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 635337090?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*o**4 + 4334*o**3 + 2358730*o**2 + 11659666*o - 14022732 = 0. Calculate o.\nAnswer: -1081, -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -8 (c) 5\/2 (d) -0.04 (e) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 31 + -11. Let p be (3\/(-2))\/(30\/y). List the prime factors of p\/(-4) + (-1194)\/(-24).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -146, -291, -434, -575, -714, -851?\n\"Answer: j**2 - 148*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (2 + -11) - 2 - 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1206 and 300026?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3988386 is divided by 3539?\nAnswer: 3472","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and 2.973?\nAnswer: -1.4865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 PM and 7:44 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 5986*g + 5. Let i(f) = 21498719*f + 17958. Calculate 5*i(j) - 17958*m(j).\nAnswer: -2993*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -3 (b) 1\/7 (c) -45796 (d) -4 (e) -2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = k + 6*j - 9, 0 = 4*k + 4*j for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 7:46 AM?\nAnswer: 1:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 86 + -0.12\nAnswer: 85.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**4 + 9620*x**3 - 13202706*x**2 + 3931347680*x - 334012529792.\nAnswer: -2*(x - 2221)**2*(x - 184)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2 - 7*s + 2. Let x be f(-6). Suppose -x*n + 20 = -4*n. Suppose -4*p + 200 = -l - 155, 0 = -n*p - 5*l + 450. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1762\/2643 + (-26)\/24.\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 25 = -3*x, -4*z = -8456*x + 8458*x + 22 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(405) + sqrt(5))**2 + 3 + sqrt(15)\/sqrt(3).\nAnswer: sqrt(5) + 503","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 541*q - 6197 - 24126 - 596 = -90*q for q.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 8 = t. Is -3*((t - 2) + -23) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.33 + 0.17. Let g = 46 + -45.94. Let x = 0.34 + g. What is the nearest to -1\/4 in s, x, 3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40 and 3700760?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -204, 0, -1.\nAnswer: -204, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6548487 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37608988 is divided by 149.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 122 (base 4) in base 3?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hoeg when four letters picked without replacement from eueuughuhueou?\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 2\/27, -2\/5, -4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 2*b - 5 - 1, -4*b + 16 = -4*u. Suppose u = 3*p - 5. Solve p*r = -5 + 1 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7450165199 rounded to three dps?\nAnswer: 0.745","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 56280.17mg in grams?\nAnswer: 56.28017","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -205982 <= -205982?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of -3*r**2 + 0*r**6 - 1\/210*r**7 + 0*r**5 + 0 - 1\/2*r**3 + 0*r + 0*r**4. Differentiate b(s) wrt s.\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 - 10*q - 18. Let j be b(-8). Let w = -87 - -86.9. Let g = 0.03 + -5.03. What is the closest to w in j, 1, g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of 2*a**3 - 5*a**2 - 48*a - 237. Is k(18) a multiple of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 470.06 from 1611916.\nAnswer: 1611445.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 506 less than -341710493?\nAnswer: -341710999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 AM and 3:18 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*1)\/((-8)\/(-88)*22)*(-9)\/(-63).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t**3 - 9762*t**2 + 17915*t**2 - 9182*t**2.\nAnswer: -2*t**3 - 1029*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-10)\/(-28)*180\/225. What is the closest to 1 in 3, 0.6, g, 0.2?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4922*u + 4942*u - 180 = 0 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1979, -3830, -5681?\n\"Answer: -1851*y - 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 109170661 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 + 14. Suppose k*n + 12 = 5*n. Which is greater: -4 or n?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.054 + -1.946. Which is the biggest value? (a) -2\/7 (b) -3 (c) s (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/3 + (-4)\/(-12). Let u = -674 - -668. Let r be (52\/u + 8)\/(2\/15). Sort o, r, 10, -2 in decreasing order.\nAnswer: 10, o, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1331 + -0.6.\nAnswer: -1331.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17 - 35) + 13 + 2 - (-9 + (1 - 0)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -675, -676, -685, -702, -727, -760?\nAnswer: -801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/((-12)\/4)*(-38)\/57.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqi when three letters picked without replacement from {n: 4, i: 4, q: 6}.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 - 6*x + 6. Let v be t(-5). Let k(i) = -43*i**2 - 2918*i + 413. Let a be k(-68). Sort -5, -4, v, a in ascending order.\nAnswer: -5, -4, a, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*x**4 - 2 - x**2 + x - x**2 - x to the form r*x**2 + i*x**3 + f + b*x + k*x**4 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.01 and 380?\nAnswer: 380.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in one fifth of a microsecond?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.03 in -2\/5, 6\/23, 0.4, -1\/100?\nAnswer: -1\/100","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*m - 6 + m + 2*m - 5*m to the form w + v*m and give w.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -0.5, -1\/43?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 74299852 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-1 + -1)*0. Suppose -4*h + 3*h + 12 = r. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 4, t: 1, s: 2, r: 4}. What is prob of picking 1 t and 2 r?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 1033*l**2 + 4998*l + 6081. Let s(m) = 5168*m**2 + 24992*m + 30404. Let u(c) = -16*j(c) + 3*s(c). Solve u(a) = 0 for a.\nAnswer: -39\/16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - z = 84. Does 9 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19 + 21. Which is smaller: -1\/2 or f?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.11 and -0.4.\nAnswer: -0.044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*p**3 + 246*p**3 - 62*p**3 - 61*p**3 - 59*p**3 - 28*p.\nAnswer: -3*p**3 - 28*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = r + 4*o - 7*o + 15, -o - 8 = 4*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 AM and 10:04 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -198*o + 558*o = -179*o + 14679 + 12810 for o.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 97 + -99.28. Let s = d - -24.68. Let i = s + -22. What is the closest to 0 in i, -1, 2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27749?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 + 1. Calculate o(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (21\/35)\/((-6)\/(-8))\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4979 + 4980.9691. What is l rounded to 1 dp?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 460, -357, -3694, -10811, -22968, -41425?\n\"Answer: -210*u**3 + 653*u + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -299*h**4 - 35*h?\nAnswer: -3588*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 24*n. Let w be (9 - 7) + -1 + 1. Let f(d) = 0*d**w - d**2 + 0*d**2. Give f(h(m)).\nAnswer: -576*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 3 u when four letters picked without replacement from {k: 4, u: 16}?\nAnswer: 448\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 3*t + 3804 = 539, -t = 4*f - 2629. Suppose -38 + f = -6*s. Let n = -417\/4 - s. Is n smaller than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/58095 in 4, -0.9, 1, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.058, 204, 3?\nAnswer: 204","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qttfnjqhtj. What is prob of picking 2 t?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**14*k)\/k**(2\/9))**9*((k*((k**(2\/3)*k)\/k)\/k)\/k)**(2\/19)*(k*k**9)\/k*k*k**(2\/3) assuming k is positive.\nAnswer: k**(-1888\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (26 + 5 - 10)*(0 - 230*w + 0 - 126*w) to the form x*w + m and give x.\nAnswer: -7476","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*p = -25*p - 6. Solve p = -5*d - 4 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((3\/6)\/1)\/((23030\/12348)\/(-235))\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-18) + (-4)\/18. Suppose 4*g - 1 + 4 = 3*l, v = -4*g + 5*l - 13. Solve -5*t - g + 19 = 4*y, y - 4*t = 4 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*5*(5 + sqrt(1008)*2))**2.\nAnswer: 54000*sqrt(7) + 912825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -2*f**2 - f + 2. Give l(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5811\/2555 + -48\/365. Let -l**2 + 1\/7*l**3 - 9\/7 + r*l = 0. What is l?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 18*n - 20. Is h(12) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5.485 + -5.5. Let o = -4.015 - u. Let a = -18 - -20. What is the second biggest value in a, 0.05, o?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + -5. Let s = 11 + d. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 + 2*k + 1. Let n be w(-2). Let j = 39 - 39.4. Which is the closest to n? (a) -0.1 (b) 5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 451 and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -335, -675, -1025, -1391, -1779?\nAnswer: -2195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6942 - -10601. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - 5. Let t be (-40)\/(-78) - v\/(-3). Let o = 1279\/5 + -257. Which is the third smallest value? (a) 0.1 (b) o (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.25 - 0.75. What is the closest to -2\/5 in 1, 4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 61852 and 503699?\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + -1dce?\nAnswer: -1dcb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 AM and 10:19 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3081 + 112*l + 1541 + 1534)*(2 - 2 + 1).\nAnswer: 112*l - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((sqrt(240)\/sqrt(5) + sqrt(12))\/(sqrt(6) - (sqrt(24) + sqrt(6))*-1) + -3))**2 + -1.\nAnswer: -18*sqrt(2) + 79\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68*h + 47*h + 25*h.\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -961\/8 + 120. Which is the third smallest value? (a) d (b) 0 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -3*l + 6. Let r(q) = q - 5. Let v(o) = -5*h(o) - 6*r(o). Let j(s) = 3*s. Let z = 12 + -29. Give z*j(t) + 6*v(t).\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*m**3 - 2*m**3 + 3794*m**2 - 3794*m**2.\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 + 6\/1)\/(-1). Let m = i - -4. Let o = 56\/145 + 2\/145. Which is smaller: o or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -802*p**2 - 6*p + 6. Let r(h) = 369720*h**2 + 2765*h - 2765. Calculate 2765*j(i) + 6*r(i).\nAnswer: 790*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 47477, 95046, 142623, 190208?\nAnswer: 237801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 625 = 34*n - 21. Suppose 18 = j + 4*r, -5*j = -14*r + n*r - 75. What is the highest common factor of 56 and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -14973\nAnswer: -2\/14973","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -280 + 40 = -12*r. Solve -5*g + 3 = 4*v + 8, -v = -5*g + r for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 != -603098?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 190 = 2*k + 90, -3*k = n - 132. Let g = n - -223. Is 19 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 291*m - 298*m + 35. Solve t + 3*j + 5 + 8 = 0, 20 = -m*j for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 669 is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14\/9 + -11\/9. Suppose r - 5*v + 12 = -8*v, 3*v + 18 = r. What is the closest to r in 0.2, d, -1\/7?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19 - -20)\/(10\/4).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2887*h + 2*t - 568 = 2967*h, 2*h = -2*t - 6 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1197864564 divided by -19637124\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 43\/2 - (-3)\/6. Suppose -f - 3*d = -6 - 1, -f + 47 = -5*d. Calculate the greatest common factor of f and m.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*c = 29*c + 144 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1267595385+-17\nAnswer: 1267595368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21175971?\nAnswer: 3, 263, 26839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 2*u - 3 = -w, 3*u = -5*w + 15. Solve -g + w*g = -4 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 138006?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 6*k**2 - 4*k**2 + 1)*(11*k**2 + 9 - 9) + (-3*k**2 + 4*k**2 - 3*k**2)*(-4*k**2 + 5*k**2 - 3*k**2) + 2 - 2 + 2*k**4 - k**4 - 2 + 2.\nAnswer: 27*k**4 + 22*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 29600, 59245, 88918, 118619, 148348, 178105, 207890?\n\"Answer: 14*s**2 + 29603*s - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 5 = 2*a. Suppose -4 = -a*t + 3*t. What are the prime factors of 23 + 1 + 8\/t?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of (1\/(-3))\/((-2)\/108)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z**3\/4 - 175*z**2\/4 = 0. Calculate z.\nAnswer: 0, 175","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/5)\/((-7)\/(-35)). Suppose -2*r = 5*v - 8, -3*r = 2*v - r - l. Which is bigger: 2\/3 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57c26 (base 14) to base 6.\nAnswer: 4325122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, 40 in increasing order.\nAnswer: -2, 0, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-376942)\/(-873) + (-2)\/(-9). What is the greatest common factor of 3 and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -15*p + 6. Let j be h(4). Let u be -1*3 - ((-32410)\/126)\/(-5). Which is bigger: u or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2779 + 3125. Calculate the remainder when k is divided by 97.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23011111022 (base 4) in base 7?\nAnswer: 33460415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1519 - 3064 + 3*f + 1545.\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*q + 19*q - 3*q)*(157 + 10 - 46).\nAnswer: 2541*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 147.8 - 129. Let u = 0.41 - -20.59. Let m = u - z. What is m rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 - -16. Suppose 5*l = 4*g - 215, -2*g = 4*l - 141 + 27. Calculate the remainder when g is divided by d.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2*l + 2)*(0 - 1 + 5)*(-5 + 6 + 8) as h + q*l and give q.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1898?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 13*n**2 - 4*n - 1. Let x = -11 - -13. Suppose -2*i - x*i = 16. Is m(i) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in g**4 + 3*g**2 - 3*g**2 + 2*g**3 + g**2 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 7*k + 19. Let m be y(-8). Let x = 65 + m. What is the remainder when 109 is divided by x?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*m, -a + 148 = 4*a - m. 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 be (-36)\/10*(-25)\/15. Suppose b = 8*t - 2. Which is greater: t or 10\/11?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of 539*i**5\/60 + i**4\/12 + 22*i**2 + 3*i. Let x be 1 + 1 - (2 + -1). Is b(x) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3225 - 252543?\nAnswer: -300212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 306545858?\nAnswer: 2, 311, 492839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 304 + -100. Suppose -4*a + 16 = 0, 0 = 5*u + 3*a - 7*a - d. Calculate the remainder when u is divided by (-32)\/56*(-13 - 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63801?\nAnswer: 3, 17, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1736419*m**2 + 830753*m - 1?\nAnswer: 3472838","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4928 and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12806 + -12518. Calculate the lowest common multiple of k and 140.\nAnswer: 10080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 4*n + 13004, 12599 = -3*d + 3*n + 32117. Suppose 8*b - d = 3*b. List the prime factors of b\/30 - (-4)\/(-10).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of -9*m**5\/20 + m**4\/6 - 4*m**3\/3 - 15*m - 2. Let c(a) = -6*a**3 + a**2 - 5*a. Determine 8*c(b) - 5*w(b).\nAnswer: -3*b**3 - 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -360*-0.02.\nAnswer: 7.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1349601 divided by 40897\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*o + 761405 = 35668 - 397895. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45023306*x - 342 = 45023312*x for x.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 + 6*k**2 + 2*k + 4. What is the smallest common multiple of 22 and t(6)?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1484960.353 - 1484078. Let f = 882 - i. Let q = f - -0.4. What is q rounded to 2 decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from {j: 9, y: 11}?\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13\/10? (a) -19\/4 (b) 2\/75 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 7*f**2 + 174*f - 755. Give j(-32).\nAnswer: 845","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 47 + -44. What is the least common multiple of r and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 243 is divided by 88.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.5641068 centuries?\nAnswer: 56.41068","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.09 - 0.09. Let y = 0.4 + w. Sort 1, y, -2 in increasing order.\nAnswer: -2, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z + 3*z + 2*z**2)*(-1535*z + 1518*z + 1529*z) + (2*z - z - 2*z)*(-2*z**2 - 3*z**2 + 6*z**2) - 2*z**3 - 4*z**2 + 4*z**2.\nAnswer: 3021*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 322\/3, 2, 0.5, -0.5, 0.2?\nAnswer: 322\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the second derivative of a**4\/12 + 3*a**3\/2 - 4*a**2 + 18*a. Let x be g(-10). Let j = -5 + 9. Solve 4*k - x*d - 1 + 5 = 0, -j = 2*d for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(3\/5))**25\/((u\/(u\/u**30*u*u))\/(u\/(u*u*(u\/(u\/((u*u**(-25)*u)\/u)))\/u*u))) assuming u is positive.\nAnswer: u**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2020, -0.5, -2, -0.09 in increasing order.\nAnswer: -2, -0.5, -0.09, 2020","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 294, 2\/7, 1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.95 + -7.9. Round r to 1 dp.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 912.44 + -1174659.\nAnswer: -1173746.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 151859, 151862, 151865, 151868?\n\"Answer: 3*d + 151856","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19379, -19377, -19377, -19379?\nAnswer: -19383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -8*k - 5. Let q be y(-4). Suppose -31 = 3*g - 4*r + 54, 0 = -4*r + 16. Let w = g + q. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -2*p**2 + 38*p - 3. Let q(v) = 5*v**2 - 78*v + 7. Let y(t) = 7*i(t) + 3*q(t). Let y(g) = 0. Calculate g.\nAnswer: -32, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -147, -317, -503, -705?\nAnswer: -923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 984 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3505 + 1212?\nAnswer: 5121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/((522\/(-12))\/29)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of -n**11\/498960 - n**10\/56700 - n**9\/22680 - n**5\/20 - 4*n**2. Let k(z) be the third derivative of b(z). Factor k(q).\nAnswer: -2*q**3*(q + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1172 - 4840. What is the common denominator of (-2)\/(-5) - f\/1680 and -53\/2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6223\/15 + -415. Let o = 369\/4 - 93. What is the nearest to -1\/3 in o, 0, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 46.06 + -46. Sort 5, i, -1, 4 in descending order.\nAnswer: 5, 4, i, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**2 + 5*q**3 + 2*q**2 - q**3 + 2*q. Let s(m) = -m**3 - m. Let y = 16599 - 16605. Give y*s(b) - 2*c(b).\nAnswer: -2*b**3 - 2*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 7 = 3. Let a(n) = -2*n**3 + 3*n - 4. Let j(y) = -y**3 - y**2 + 3*y - 3. Suppose -3*r - 2 + 11 = 0. Let b(p) = i*a(p) + r*j(p). Factor b(z).\nAnswer: (z - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1952.602837 to one decimal place.\nAnswer: -1952.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - 2*g + g + 232, 3*i - 242 = g. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 4*b + 6. Let u(c) = -21*c + 2 + 39*c - 17*c. Let x(j) = -4*s(j) + 12*u(j). Let p(a) = 2 - 2 - 76*a + 62*a. Determine x(p(k)).\nAnswer: 56*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 5 - 2)*(-6*z**3 + z**3 + 2*z**3) - 15*z**3 + 45*z**3 - 111*z**3)*(0 + 0 - 2*z)*(2*z + z - z).\nAnswer: 252*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 + 12*t**2 + 25*t - 24. Let l be u(13). Suppose l*k - 40 = 127*k. Solve k*v + 5 = 3*v + 2*r, 0 = 2*r for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 269, 300, 331, 362?\nAnswer: 393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -65*c**5 - 9*c**4 - 17197*c**3 - 5170*c**2 + 2*c - 15469 wrt c.\nAnswer: -3900*c**2 - 216*c - 103182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1421 - 121. Suppose 74*b - y = 54*b. Calculate the greatest common divisor of b and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -4*k + 3. Let m(d) = 6*d - 6. Let p(n) = 2*j(n) + m(n). Calculate p(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 243820189 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9869665 is divided by 4070?\nAnswer: 3985","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 121 + -157. Does 17 divide 1734\/4*(-24)\/u*1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40167 and 516456?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -46*p**4 - 2*p**2 + 6*p wrt p.\nAnswer: -552*p**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwwww. What is prob of picking 3 w?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -65, -265, -597, -1061, -1657, -2385, -3245?\n\"Answer: -66*b**2 - 2*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -185 + 915 = 30*r - 20 for r.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + -8. Let u = 94 + -106.6. Let x = u - p. What is x rounded to one decimal place?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 2292089?\nAnswer: -1\/2292089","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 a, and 1 s when three letters picked without replacement from aususaua.\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2500601?\nAnswer: 2500601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -12 + (-12 - (8 + 0 - 16))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15 (base 13) to base 5.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 0\/(-5) + (-15)\/(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 101 divide 52924?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (11*a**3 - a**3 - 2*a**3)*(2*a - 4*a + 3*a) - 1 + 1 - a**4 as o*a**2 + c*a**3 + s + b*a**4 + q*a and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (20 + -41 - -6).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 - 823272\/36*(-3)\/(-2)*-2. Round p to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -216 - -324. Suppose 3*v - w = -9*v. Calculate the remainder when v is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.5 - 0. Let q = 132 - 128. Let w = -285 + 286. Which is the third biggest value? (a) k (b) -4 (c) w (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 401431618?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xoxoozzopxopxpo. What is prob of sequence zopo?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 2 = 3*u. Let l = 0.86544 + -0.28544. Which is the closest to 1? (a) l (b) -1 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -2*i - 4*i + 11*i - 7*i. Let m(p) = p**3 + 6*p**2 - 7*p - 1. Let u be m(-7). Let d(q) = -q. Give u*v(w) + d(w).\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 4*p. Let s be (13\/104)\/(3\/8). Let g(m) be the first derivative of -2 + 0*m + 0*m**2 + s*m**3. What is k(g(a))?\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 61475.9544ms?\nAnswer: 0.00010164675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 741\/(-10621)*-43*(0 + 58\/(-6)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*f + 42*f = 280 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f. Let t(c) = -32270*c - 103. Determine t(o(l)).\nAnswer: 32270*l - 103","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14666721.\nAnswer: 3, 29, 263, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-94)\/6)\/(12\/(-45)). Let t = -60 + m. Let l = -45 - -224\/5. Which is the nearest to 2? (a) l (b) t (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2128 is divided by 174.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1055 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 1 + 3. Suppose i + r - 1 = -0, -l*i = 2*r - 8. What is the highest common divisor of i and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -2) + (2 - (-145)\/(-25)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -31*v**3 + 77*v**2 wrt v.\nAnswer: -186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 655383, 1310767, 1966151, 2621535, 3276919?\nAnswer: 3932303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from zzhhz.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -79752 by 12.\nAnswer: -6646","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + d - 9 = 0. Suppose d*q - 2 = q. Calculate the remainder when 31 is divided by q*12 - 2\/2.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/((-4 - -5) + 1). Let o = 3590\/13 + -276. Factor 0 + 2\/13*p**b + o*p.\nAnswer: 2*p*(p + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30.44, 4\/17, -2\/21 in ascending order.\nAnswer: -2\/21, 4\/17, 30.44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2380 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 plus -127887606?\nAnswer: -127887609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2372 - -2388 - (-1 + -41).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1714 - 0.2214. Which is the closest to 1? (a) -2\/5 (b) r (c) 2 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -359*d**2 + 0*d + 6001 - d + 346*d**2.\nAnswer: -13*d**2 - d + 6001","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 12 - 5202?\nAnswer: -51a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 318074.6 nanoseconds in seconds?\nAnswer: 0.0003180746","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3777, -5, 5, 4, -3 in decreasing order.\nAnswer: 3777, 5, 4, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2696 and 0.7?\nAnswer: -1887.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eevokokeokovooekvkk. What is prob of picking 2 o?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + ((-1275)\/100)\/(1\/(-4)). Suppose 0 = -6*i - 20 + z. Solve 9 + 6 = -4*f - j, 3*f - i*j = 6 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5365 (base 9) to base 15\nAnswer: 1282","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 40 = 807. Calculate the greatest common factor of 59 and w.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**2 - 72*d + 700.\nAnswer: -4*(d - 7)*(d + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1677471 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 76 and 646?\nAnswer: 1292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 5 = -3*c + 3*g, -104*c - 1034 = -65*c + 167*c + 2*g for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 2206?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 11856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/19, -0.2, 0.9934087?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10886, -20881, -30876?\nAnswer: -40871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5066?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 3 = 0, -660*v = -665*v - 3*j - 13 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ootocttcutuuuut. Give prob of picking 1 c, 1 u, 1 o, and 1 t.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 b, and 1 d when three letters picked without replacement from {f: 4, d: 1, k: 3, q: 1, h: 2, b: 1}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/20715 and 101\/13810.\nAnswer: 41430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6\/283 - -12001\/7924. Let w = -16\/7 + q. What is the biggest value in -16, 0.3, w?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7424 is divided by 268.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000020218448 to 7 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2*h**3 + 7*h**2 - 20*h + 6. Let y(d) = -2*d**3 - 8*d**2 + 19*d - 8. What is -5*i(c) - 4*y(c)?\nAnswer: -2*c**3 - 3*c**2 + 24*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 116751, 933997, 3152221, 7471911, 14593555, 25217641?\n\"Answer: 116748*t**3 + t**2 + 7*t - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y**2\/8 - 515*y\/8 + 23973\/4 = 0. Calculate y.\nAnswer: 122, 393","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Is 24483 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 322\/21*3 - -2 and 44?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = x - 8. What is the remainder when 58 is divided by x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1355 and 98405791.\nAnswer: 492028955","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/4 of a milligram in micrograms?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -69*j**2 - 411*j + 18.\nAnswer: -3*(j + 6)*(23*j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1715 - 75*m**3 - 1819 + 1011*m**2 + 3536 - 20*m**6 wrt m.\nAnswer: -2400*m**3 - 450","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*m - 147 = -75 + 103. Solve -3*h = 2*r - 4, -15*r + 16*r = m for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence opo when three letters picked without replacement from opooopoppppoppppppp.\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -7, -8, -9, -10, -11, -12?\n\"Answer: -i - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1593 - 599 + 23*a**2 + 72*a - 1169 - 6737 + 80 with respect to a.\nAnswer: 46*a + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-14) + 6\/70. Let c = 15\/16 + -3\/16. Let g = -0.7 - -0.6. What is the third biggest value in g, c, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/(sqrt(30)\/sqrt(5)))\/((sqrt(77)\/sqrt(11) + sqrt(7))*5).\nAnswer: sqrt(2)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/(-147) - (-10)\/(-14)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2137.184 + 2151. What is c rounded to zero dps?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 4*i = -6*b + 18, 0 = -4*b + 2*i + 2 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -332bd - -2?\nAnswer: -332bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u**2 + 4*u + 2*u + u - 2. Suppose -2*t + 4*s + 15 = -t, 2*t + 30 = -4*s. Is g(t) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a**2 - 3*a**2 - 5*a**2 + (a + 1 - 1)*(9*a + 23*a + 19*a))*(5 - 3 - 8).\nAnswer: -276*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -51e8 (base 15) to base 16\nAnswer: -43a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*8\/(-2)*522\/348.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + (-1 - 170\/(-4)))*64\/((-4096)\/128)?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 51, 108, 165?\n\"Answer: 57*g - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010000000 - -100110010011?\nAnswer: 110000010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3701\/9912 + -2\/1239. What is the closest to 66 in -4, 3, r, -0.4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a litre in millilitres?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - f = -1307 - 11870, 4*q = -5*f + 52709. What is the least common multiple of 4 and q?\nAnswer: 13176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16752 or -16751?\nAnswer: -16752","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -34*j - 924. Let s be h(-28). Which is the smallest value? (a) -5 (b) -0.05 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12*45\/(-36) + 15. Is v greater than -6\/3929?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 813*b + 5753. What is g(-7)?\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2313?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 AM and 2:51 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 16) to base 6\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 74177 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 12 + 11)*(-3*i + 5 - 3*i + 4*i)*(2*i + 0*i - 5*i).\nAnswer: 120*i**2 - 300*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 175091429 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6775911, -13551822, -20327733, -27103644, -33879555, -40655466?\nAnswer: -47431377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((13\/(-13))\/(2\/12))*15\/85\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o - 1. Let c(z) = -20*z - 4 + 0 - 2 + 1. Let w(j) = -c(j) - 4*k(j). What is the first derivative of w(y) wrt y?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (13 - 0) - (5 - (12 + -4)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -11*z**3 - 29*z**2 + 8*z + 3. Let b(r) = 2*r**3 + 2*r**2 - r + 6. Let d(m) = 5*b(m) + s(m). Calculate d(-19).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + -30 + (2 - (-18 - -8))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 98331715?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 10712 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-3 - -1 - -4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + 7 + 0 + 2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + 21?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1816*t**6 + 5*t**4 + 109*t**3 - 247561*t**2 - 5*t wrt t.\nAnswer: 217920*t**3 + 120*t + 654","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 15 or 65\/3?\nAnswer: 65\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1)\/y)\/y*y*y*y*y**4*(y\/y**(-4))\/y*y**(5\/3)*(y**(1\/10)\/(y**(-2\/11)\/y))\/((y\/(y**3*y))\/y*y**(2\/5)*y) assuming y is positive.\nAnswer: y**(4471\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - -121110132002?\nAnswer: 121110132010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkeeeeeekeeeeee. Give prob of sequence eek.\nAnswer: 11\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -3111*a + 9151. Calculate b(3).\nAnswer: -182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/(r\/(r\/r**(-2\/19))*r)))**(-47) assuming r is positive.\nAnswer: r**(-799\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 41.5 + -19. Let c = -23 + m. What is the closest to 0.1 in c, 0.1, 2\/11?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 6 = -2. Let z = a - -10. Calculate the greatest common factor of z and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -132*q**5 + 54230*q**3 - 452*q**2 - 2*q - 7073.\nAnswer: -7920*q**2 + 325380","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wh when two letters picked without replacement from wwhhwhww.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.2194298733 less than -0.1?\nAnswer: -1.3194298733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 - 25*u**2 + 40*u + 28. Let p be l(-26). Let d = p + 413. Does 7 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - 1. Solve -8 = -4*u - l for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -5*k - 23. Let v be p(-5). Solve -y - 20 = -3*q, v*q - 7*q + 45 = -4*y for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 35, 98, 161?\n\"Answer: 63*d - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/5, -14\/9, -2\/97, -2.73?\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 63774*a*x**2 + 131*a*x + 11515*x**2 - 19*x + 13 wrt a?\nAnswer: 63774*x**2 + 131*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 140 and 42?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12564 - 590484\/47. Let c = 1720\/423 - g. Which is smaller: 5 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -2*q + 59, -w + q + 81 = 4*w. Solve -4*t + 18 + 4 = -2*z, -2*z - w = -3*t for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o + 23. Let h be x(-21). Factor 16*n + 27*n**2 - 60*n**h - 16 + 29*n**2.\nAnswer: -4*(n - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 - -59486.\nAnswer: 59483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 84 and -73.\nAnswer: -6132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 117 and 2054.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 82 + -80. Suppose 5*l + s*t = 21347, 0 = -4*l - 4*t + 6948 + 10120. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -26053552 + 13?\nAnswer: -26053536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 + (-2 - 1) - (168 + -125).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*(-4 - 31)\/(-1). Let x = 14 + -34. Let j = x + m. Solve -c + j = 4*d - 2*d, -5*c = d - 30 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - -2. Let h = -4 + v. What is the closest to h in 3\/2, 5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(4*((sqrt(60) - (sqrt(4860) + sqrt(4860) + sqrt(4860)*-1 + sqrt(4860)))\/sqrt(12))**2 + (sqrt(315)*-6 + sqrt(35))\/(-2*sqrt(14)\/sqrt(2) + sqrt(7))).\nAnswer: -5780 - 17*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/7 - 504\/49. Let z = m + 12. Suppose 2*r + 0*s + z*s - 28 = 0, -10 = -5*s. Is 12 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 6 = -4*i + 3*i, 2*i = 6 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -2*m - 4. Let x be l(6). Is 11 a factor of x\/12 + (-392)\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 182\/(-369) + (1*20 - (-23056)\/(-1179)).\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 5:44 PM?\nAnswer: 7:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -37 + 20. Is -0.1 less than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i**3*i\/(i*i**(-2\/5))*i**(3\/2)*i**0 assuming i is positive.\nAnswer: i**(59\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b - 12. Let l be k(9). Let n be (2\/l*-1)\/(5\/30). Suppose 27492651 = n*a + 5092651. What is a rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 573 - 1 = -143*d. Let w(y) = -2*y**2 + 2*y - 2. Let j(m) = m**3 + 7*m**2 - 7*m + 7. Let l be (14\/8)\/(4\/(-32)). Give d*j(o) + l*w(o).\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 119\/6 + -2 - (-12782)\/(-6972).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-143)\/(-39) + (-972)\/(-5103) + 3*(-3)\/(-63)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (18 - 7 + 9)*(-g + 4*g - 2*g) as y + u*g and give u.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 + o**2 - o - 4. Let f be t(0). Let i = 96 - 97. Sort 0, i, f in decreasing order.\nAnswer: 0, i, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + 2*u - 21. Suppose -c - u = -27. Solve 0 = c*q - 25*q + 25 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g - 1. Let v(f) = -2. Let k(n) = 2*a(n) - 3*v(n). Suppose 85 = 2*s + 3*s - 5*r, 2*r = -4*s + 56. Suppose 4*z = 1 + s. Determine k(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -54*x**2 + 15*x + 27. Let s(w) = 21*w**2 - 7*w - 14. Determine -6*a(j) - 13*s(j).\nAnswer: 51*j**2 + j + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*h**2 + 6*h**2 + 3*h**2 + (-1 + 1 + 2)*(0*h + 0*h + h**2) + 2*h - 2*h + 3*h**2 - 2*h**2 - h**2 + 5*h**2.\nAnswer: 16*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -2794 at most -2\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.17444m in centimeters?\nAnswer: 2617.444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -p - 2*z, z + 3 = -p - 4. Let s = 37 + p. Is s a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 - 10. Suppose 0 = 4*z - 2*m - 11 - 11, 0 = -3*m - 3. Let o(d) = -6*d**3 - d + z*d**3 + 0 + j. Determine o(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 116793840?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*z + 0*z**3 - 2*z**3 - 5*z**3 + 5*z**3 in the form h*z**2 + x + o*z**3 + g*z and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -1319 and -1\/4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 682.022 - 682. Let r = 92 + -91.882. Let o = n + r. Which is the biggest value? (a) o (b) 0 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 - (-2 - (0 + 0)). Let x = 0.0425 + -4.0425. Sort z, x, 0.5 in ascending order.\nAnswer: x, z, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26 + (-6 - (2 + 4))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of i**7\/315 - 7*i**6\/36 + 67*i**5\/90 - 11*i**4\/12 - 19*i**2 - 22*i. Factor z(a).\nAnswer: 2*a*(a - 33)*(a - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 + 15*l**2 - 19*l + 7. Let z be h(-16). What is the units digit of 1*926 - 7*z\/77?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -5*i**4 - 15*i**3 + 5*i**2 + 25*i + 10. Let r(w) = w**4 - w**2 - w - 1. Let l(c) = h(c) + 10*r(c). Suppose l(v) = 0. What is v?\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of 0*h**6 + 1\/15*h**7 + 0*h + 14*h**2 + 0 + 0*h**4 + 0*h**3 - 7\/60*h**5. What is the third derivative of n(v) wrt v?\nAnswer: 336*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -335468329, -335468320, -335468305, -335468284?\n\"Answer: 3*x**2 - 335468332","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/4 of a kilogram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*l + 15 + 5 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 285 is divided by 277?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -3*o - 693, -69*l + 64*l + 3414 = 2*o. Suppose 10*r - 1936 = l. Is r less than 262?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-38)\/(-38)*((-1)\/2)\/(4\/(-6))\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 12, -2.1, -29, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20183772 is divided by 31.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = 4*q + 3, 6 + 3 = 3*v for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 154 + -143.9. Let u = 10.214 - o. Let c = u + 34.486. Round c to the nearest integer.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 4 + 3. Suppose -2*i - 34 = -2*t, 0 = -3*i - 2 - v. Let b = t + -10. Calculate the remainder when 11 is divided by b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*o**3 + 2*o - o**3 + 4*o**4 - 290 + o**2 - 5*o + 286 to the form m*o**3 + r*o**2 + n*o**4 + y + j*o and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*a**2*b**3 + 2*a**2*x + 461*a**2 - 2*b**4*x + 2*b*x wrt b.\nAnswer: 9*a**2*b**2 - 8*b**3*x + 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rtu when three letters picked without replacement from {r: 1, u: 11, t: 3}?\nAnswer: 11\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of r**4\/12 + 3*r**3\/2 - 5*r**2\/2 - r. Let g = -5 + -5. What are the prime factors of m(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwwbwwbwwbw. Give prob of picking 1 w and 3 b.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -20*r + 17. What are the prime factors of i(-11)?\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0679 - -1.6088324\nAnswer: 1.6767324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1429909, 5719592, 12869041, 22878256?\n\"Answer: 1429883*r**2 + 34*r - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 969 - 3*n - 485 - 484. Let r(c) = 5 - 3 + 3 + 9*c - 4*c. Determine r(m(f)).\nAnswer: -15*f + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, m: 1, f: 1, c: 1, g: 2, v: 1}. Give prob of sequence gc.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -20451\/106 or -193?\nAnswer: -20451\/106","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of -o**7\/84 + o**6\/15 - 5*o**4\/12 + o**3\/12 + 3*o**2\/2 - 5*o - 1. Let w(k) = 0. What is k?\nAnswer: -1, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 7, d: 6, i: 4, s: 2, e: 1}. What is prob of sequence cie?\nAnswer: 7\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 217 divide 2740133214?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 124 + -11?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from exxfefexfexeeeefeexx. Give prob of picking 1 x, 1 f, and 1 e.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 960, 1559, 2160, 2763, 3368?\n\"Answer: n**2 + 596*n + 363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of -5*o**6\/6 + 11*o**5\/2 - 55*o**4\/4 + 50*o**3\/3 - 10*o**2 - 4*o - 6. Let d(p) = 0. Calculate p.\nAnswer: 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 + 1)*838\/2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -104*x - 729. Let u be s(-7). Let g = -8 - -9. Let k = -3 - -2.5. Which is the nearest to u? (a) k (b) -2\/17 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12850, -10688, -7088, -2050, 4426?\nAnswer: 12340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18, 19, 20, 21, 22?\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-119)\/(-1190))\/((-3)\/((-30)\/4))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, z: 4, l: 10}. What is prob of picking 1 z and 1 k?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/14*1\/(-6)*-293. Let v = 100\/7 + o. Factor a**4 - a + 2\/3*a**3 - 2\/3*a**2 - v + 1\/3*a**5.\nAnswer: (a - 1)*(a + 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 3*b - 0*i - 5, -17 = b + 4*i. Let v = -18 - -2. Let a = b - v. What is the highest common divisor of 10 and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (48 - 16 - 24)*(-1 + 1 + 1)*(-3 + 6 - 2)*(-1 - 2 + 2)*(-4*y + 16*y + y)*(-4*y**4 + 4*y**4 - 2*y**4).\nAnswer: 208*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (2\/4)\/((-3)\/(-6))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1074549143 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**0*b)**42\/(((b*b**(1\/4)*b*b)\/b)\/((b*b**(2\/13))\/b*b*b)))\/(b**(1\/3)\/b**(-2\/7))**34 assuming b is positive.\nAnswer: b**(22775\/1092)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-258)\/(-3) + 3072 + -3062.\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -3*k, 3143302 = -3*o - 4*k + 3143283 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 7:06 AM?\nAnswer: 12:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 11 - 5)*(2 + 3 - 6)*(4*i - 4*i + i**3)*(-4*i - 2*i + 3*i).\nAnswer: -33*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 633128 and 10?\nAnswer: 3165640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 239610316 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 355*m - 345*m + 50 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -3*l - 26. Calculate w(-11).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 294 and 66.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 215*i - 198*i. Let z(m) be the first derivative of -m**2 + i*m + 3 + 7\/3*m**3. Find the second derivative of z(t) wrt t.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 4*i - 3*i - 3 + 3. Let d be j(10). Let y(l) = 4*l + 12. Is 8 a factor of y(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = -3*v + 30, -36*v + 15*v + 25*v = -5*j + 38 for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - -c?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101033?\nAnswer: 71, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -150*d**6*y**2 - d**6*y - 413*d**2 + y**2 wrt d?\nAnswer: -18000*d**3*y**2 - 120*d**3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m*((m**(-3\/7)*m)\/m)\/m*m*m**(-2\/17)*(m*m*m*(((m*m**(-6))\/m)\/m)\/m)\/((m*(m*m**1*m*m*m)\/m)\/m) assuming m is positive.\nAnswer: m**(-898\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1332\/(-56) + -32 + 56. What is the closest to -1 in 2, y, -1\/14, 3\/4?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -202*n - 3634. Let q be r(-18). Let g(i) = i. Let d be (1 - 1)\/(1 + -3). Let v be g(d). Solve v = -3*t + q*s - 19, t + s + 8 = -t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16825253 rounded to the nearest ten thousand?\nAnswer: 16830000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2515985, 5031986, 7547987, 10063988, 12579989, 15095990?\nAnswer: 17611991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -289.1 + 78. Let o = 211 + l. Is o smaller than -17.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36 and 414.\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.48 to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 12\/13, 1, -0.5 in decreasing order.\nAnswer: 1, 12\/13, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of l**4\/4 + 6*l**3 + 17*l**2\/2 + 3*l + 1. Let c = -20129 - -20112. Let x be w(c). Solve 5*h - 8 = x*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 + 7*h**2 + 7*h + 1. Suppose -4*y = -32 - 0. Let w be z(y). Let r = -3 - w. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4527590589 rounded to two dps?\nAnswer: 0.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*y**2 + 78*y**2 - 3*y**2.\nAnswer: 96*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 212822 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 2. Let z = -2362 - -2365. Solve t*p = 1 + z for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(1125))**2.\nAnswer: -30*sqrt(5) + 1126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -2*j**2 - 84*j - 543. What is a(-34)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -153333*i**2 - 14*i + 5. Let m(n) = -51111*n**2 - 5*n + 2. Let y(k) = -17*m(k) + 6*o(k). Let q be y(3). What is q rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.06? (a) 0 (b) -57 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 182 - 782 = 0. Let x be ((-2)\/6)\/((-10)\/d). Suppose -x = -5*y - 0*y. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 5*g = 0, 3*l - 35 = -631*g + 635*g for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, b: 1, c: 1, f: 3, g: 3, r: 3}. What is prob of picking 1 o, 1 c, 1 f, and 1 r?\nAnswer: 18\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 370\/296*(-392)\/(-10) is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2289 by 7.\nAnswer: 327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 346301 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 779 and 76?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1839 equal to -1823?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, -28, -101, -216, -385, -620, -933?\nAnswer: -1336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w + 0*w + 95 - 100)*(2 - 2 - 4*w)*(-w**2 + 6*w - 5*w + w).\nAnswer: 16*w**4 - 52*w**3 + 40*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (-23 + 15 - -33) + -60.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.56618412 - -45.9.\nAnswer: 44.33381588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/16 and 10\/(-16)*(-7)\/((-42)\/78)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sssbssssssssvsssbsbs. What is prob of picking 1 s, 1 b, and 1 v?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -42.34 - -42. Let m = -4 + 3.96. Let g = m - o. What is g rounded to 1 dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48.11 rounded to the nearest integer?\nAnswer: -48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 8\/7, 1, -2, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twenty-nine fifths of a gram?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -607126304 divided by 91808.\nAnswer: -6613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/1450 and -1\/140?\nAnswer: 20300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 3*g + 7, g + 0*o + 2*o + 9 = 0. Which is bigger: g or 3\/16?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from {z: 3, n: 12}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 64 - 75 = -5*c - 8, -6*m + 3*c + 15 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11 - 6 - (0 - 65) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1641 (base 11) to base 14.\nAnswer: aa2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 8) to base 12\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2084*i**3 - 693*i**3 - 694*i**3 + 1891*i**2 - 1891*i**2 - 698*i**3.\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.78 - -0.18. Let s = p - 2.4. Which is the closest to 2? (a) s (b) 3 (c) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33471 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 w = -3 - -3.5. Let a = -3.5 + w. Put -1\/6, a, -5 in descending order.\nAnswer: -1\/6, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -255*w**2. Let m(u) = 26688*u. Give m(f(j)).\nAnswer: -6805440*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 z when four letters picked without replacement from {b: 7, r: 2, z: 4}?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 903 is divided by 204.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y + 0*y - 196 = 0. Suppose 3*t = y - 1. What is the first derivative of -t*v**2 - 5*v**2 + 4*v**2 - 9 wrt v?\nAnswer: -20*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 3*h**3 - 3567819*h**2 + 1060775917485*h + 1060779485307 = 0.\nAnswer: -1, 594637","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5776 - 8254 = -8*q + 674*q - 4706 for q.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n - 5. Let p be g(-8). Suppose 10 = 5*k - 10. Factor k*w**4 + 3*w**2 - 2*w**3 - 4*w**5 + 6*w**p - 7*w**2.\nAnswer: -4*w**2*(w - 1)**2*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 - 19*p**2 - 77*p + 119. Let c be g(-9). Solve -4*s - 16 = -w - 0*w, -7 = 3*s - c*w for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44065, 44067, 44069, 44071, 44073?\nAnswer: 44075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28*-12*9\/576)\/((-2)\/((-96)\/(-90)))?\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 6*j - 6 + 55*j + 25 - 8. Is p(12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2800 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 745.9 + -746. Which is bigger: s or 840?\nAnswer: 840","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + -2. Let i = 1\/953 - -3807\/4765. Let n = -8 + 3. Which is the second biggest value? (a) i (b) o (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v - 4*v - 2*v)*(-987*v**2 + 1067*v**2 + 1611*v**2).\nAnswer: -6764*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 31830909*n + 2824347 wrt n?\nAnswer: 31830909","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:21 PM and 10:33 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 27641.95+-190\nAnswer: 27451.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/5)\/(10\/(-20)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1312976212 to the nearest integer?\nAnswer: 1095","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 110181 and 171?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1171543 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of -241\/120*l**5 - 1\/252*l**7 - 250\/3*l**2 - 7\/45*l**6 - 215\/36*l**4 + 16*l + 0 + 425\/9*l**3. Solve r(t) = 0 for t.\nAnswer: -10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 + 20 - (9 - (0 + -1 + 3)) - -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 266578?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -67356176 by -2.\nAnswer: 33678088","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-30)*4)\/(18\/5)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 306*v**2 - 2*v + 1. Is n(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**4\/5 + 14*b**3\/5 - 15*b**2 - 36*b\/5 + 324\/5.\nAnswer: (b - 3)**2*(b + 2)*(b + 18)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.69 - 5.69. Put 5, -0.5, c in ascending order.\nAnswer: c, -0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -0.69, -3 in decreasing order.\nAnswer: 2\/5, -0.69, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 395 - 389. Let q(p) be the third derivative of -6*p**2 + 1\/120*p**k + 0 + 1\/2*p**3 + 0*p**5 + 0*p + 0*p**4. Find the first derivative of q(b) wrt b.\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3975 = -242*q + 1089 + 1712. What is the highest common factor of 11 and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 3 = -6. Let f be ((-6)\/(u\/(-1)))\/1. Let c be ((-8)\/(-30))\/(f\/(-5)). What is the nearest to 0 in -3, c, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 4800 - 1278 = 0. What is the remainder when d is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58745148?\nAnswer: 2, 3, 7, 11, 63577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 262*q**2 + 2*q. Let r(t) be the first derivative of 6*t**2 + 888. Calculate m(r(b)).\nAnswer: 37728*b**2 + 24*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 564 is divided by 176?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -95, 5, 0 in descending order.\nAnswer: 5, 0, -2, -95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of d**5\/120 - d**3\/12 - d**2\/6 + 13*d. Factor c(s).\nAnswer: (s - 2)*(s + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -1122\nAnswer: 1\/374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.04*0.04.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2976347 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the third derivative of -17*a**4\/24 - 20*a**3\/3 - 2*a**2 + 1. Differentiate y(x) wrt x.\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 6*q + 21. Calculate u(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/354214 and -79\/70.\nAnswer: 1771070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -175874, -175871, -175868, -175865, -175862?\nAnswer: -175859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -736*y + 6594. Determine t(9).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 390050 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -44969, -45178, -45387?\nAnswer: -45596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -102, -89, -74, -57?\n\"Answer: l**2 + 10*l - 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*y**5 - 33407548*y**3 - 4608773*y + 6 wrt y.\nAnswer: 40*y**3 - 200445288*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -143*x**4 + 21*x**3 - 11*x**2 + 1766?\nAnswer: -3432*x + 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 315.57942 milliseconds?\nAnswer: 0.00008766095","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 21 = x - 2, -2*j - x + 53 = 0. Calculate the smallest common multiple of j\/(-10)*70\/(-14) and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 2 = -5*x + 15, -4*x + 8 = 3*j. Let n = 0.3 - 0.3. What is the closest to n in -0.4, j, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 654.5451 rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1300) + -1)**2 - sqrt(1300) - sqrt(1300)) + ((-3*sqrt(143))\/sqrt(11))**2)*5.\nAnswer: -200*sqrt(13) + 7090","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -214586598 - -0.2.\nAnswer: -214586597.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*p**5 + 7662568*p**2 + 34042607*p?\nAnswer: -60*p**3 + 15325136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - 7.3. Let f = d - -0.2. Let n = -0.02 + -0.28. Which is the biggest value? (a) f (b) 4\/5 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7169211 + -3554789. What is m rounded to the nearest 1000000?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 919*d**4 - 4*d + 809. Let v(n) = 1837*n**4 - 7*n + 1617. Let s(c) = 7*g(c) - 4*v(c). What is the first derivative of s(z) wrt z?\nAnswer: -3660*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -13*a - 2. Let c be h(1). Let m = c + 20. Suppose m*o = 11*o - 12. Solve 0 = p + o - 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 l when three letters picked without replacement from llalaaaaala?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qwqtwwk. What is prob of picking 3 w?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 222917424 divided by 122\nAnswer: 1827192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-70))\/(14*(-10)\/40 - -4).\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 8 - 0. Let k = n + 1. Suppose -2*p + 99 = 3*u - 0*p, -5*u + k*p + 140 = 0. Calculate the remainder when u is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - i = -3*t + 506, -5*t = -3*i - 842. Suppose h = -h + t. What is the remainder when h is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21074009051 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 35949085.1 rounded to the nearest 100000?\nAnswer: 35900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 2\/5, 0.148, 1\/2, -4?\nAnswer: 0.148","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 13, l: 6}. Give prob of picking 3 l and 1 p.\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/6*s - 1\/6*s**2 + 1\/3.\nAnswer: -(s - 1)*(s + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 - 3*f - 1. Let k be z(-6). Suppose w + 16 = k. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/400839 greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 769813?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -106909, -106885, -106861, -106837?\n\"Answer: 24*s - 106933","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 10 + 2 = 0. Find the common denominator of 41\/(-66) + o\/(-12) and -37\/10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 0*k = 5*q - 24, -2*q + 43 = q + 11*k - 117 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - i + 5*f - 2218 = 0, 2*i + 2*f - 2230 = 0. Suppose h = j - 427, 257 - i = 2*h + 2*j. Let r = -247 - h. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 75052, 600413, 2026398, 4803319, 9381488, 16211217, 25742818?\nAnswer: 38426603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 841174793?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 110.81 at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 + 9*a**2 - a + 17. What is z(9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 51.5 - 51. Which is the nearest to -5? (a) y (b) -4 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - f - 4*f = 50, -3*w + 6 = -3*f for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.469083km to nanometers.\nAnswer: 1469083000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 451780 = -5*o - 7089045. Let n = 3578165 + o. What is n rounded to the nearest one hundred thousand?\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154035.2535 take away -82312?\nAnswer: 236347.2535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0 and 9.46944085?\nAnswer: 9.46944085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (((-33)\/(-660))\/((-2)\/(-16)))\/((-154)\/10). Which is the nearest to -1\/4? (a) g (b) -1 (c) 3\/22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 48, 187, 418, 741, 1156?\nAnswer: 1663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + -5 - -5) + 228\/48 + -3 + -3.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 702 = -b + 694, 2*b - 47 = -0*b + 5*d for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2*w**2. Let h(x) = 5*x - 99. Determine h(z(v)).\nAnswer: -10*v**2 - 99","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 25\/(-210) + 2\/7\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 5 - 4)*(-3 + 3 + 2*y) - 6 + 4*y + 6 + y + y - 4*y + 249*y - 2168*y - 1216*y - 507*y in the form h*y + m and give h.\nAnswer: -3636","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9042101 days in microseconds?\nAnswer: 78123752640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-310)\/8 + 27\/36. What is m rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = -39*n + 33*n, -2*m + 5*n = -39 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/14 - (-145)\/(-70)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -32*v. Solve b - 4*b - 3*y - 21 = 0, -3*b + 2*y + 4 = v for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 j, and 1 t when three letters picked without replacement from {t: 2, n: 1, j: 4, b: 1, w: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 = -4*m - 6556. Let k = 5119 + m. Let q = k - 34679\/10. Find the common denominator of q and 18.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -6*g**3 + 2*g**2 + g - 12. Let f be h(-4). What is the greatest common factor of 50 and f?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 - 2*o**2 + 2*o - 1. Let l be j(1). Let x = 7 - l. Suppose 2*h - x = -5*p + 4, -p = -2*h + 31. Is 14 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1581 + -958. List the prime factors of w.\nAnswer: 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -b - 10, 4*b + 3*y = -7 - 51. What are the prime factors of (297\/(-18) - b) + (-1438)\/(-4)?\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-97)\/(-49179)*169)\/(1\/(-435))?\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 37430 and 394.\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 7, g: 1, s: 1, h: 3}. What is prob of sequence hhhv?\nAnswer: 7\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3 times -27645\nAnswer: -82935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -5*d**4 - 70*d**3 + 175*d**2 + 240*d = 0.\nAnswer: -16, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q**2 - 1326*q + 236228 = 0.\nAnswer: -809, 146","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 187 is divided by 107?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s**3 + 2*s**3 - 5*s**3.\nAnswer: -5*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 332214 + -2104?\nAnswer: 330110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h**3\/8 + 5515*h**2\/8 + 38507*h\/4 = 0. Calculate h.\nAnswer: -5501, -14, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 102910 (base 10) in base 11?\nAnswer: 70355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n - 2 - n**3 - 3 - 3*n**2 + 3. Let j(b) = -4652*b + 27909. Let p be j(6). Calculate o(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.4 - 0.5. Let j = -0.6 - -4.6. Which is the closest to x? (a) -0.3 (b) -0.1 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 76 + -74. Solve o*r + r = 3 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14359 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 257336 and 275959?\nAnswer: 1693","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of -7 + (-2104)\/(-20)*5 + -6 and 63.\nAnswer: 3591","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + -10 + 3 - -3. What is the third biggest value in l, 32, -3, -0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 r when three letters picked without replacement from rrrrrrrmmrrrr.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 27*g - 28*g = 40816, -5*r = -5*g - 40840. Is r a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 9640 = -1760. Suppose 0 = 2*x + 2*x - 4*b - s, -4*b = -2*x + 946. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00724 plus 27276350023?\nAnswer: 27276350022.99276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + 2*g + 2*g)*(33 + 29*g + 31*g - 66*g).\nAnswer: -18*g**2 + 99*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 + 6*h**2 + 5*h + 10. Let b be u(-4). Let a = 28 - b. Suppose 14*t = 16*t - a. Calculate the least common multiple of t and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4389372 and 14916.\nAnswer: 1356","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -10*b**2. Let x(v) be the third derivative of 7*v**4\/8 - 59*v**2. Determine s(x(d)).\nAnswer: -4410*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k + 62. Let q(z) = -z**3 - 9*z**2 - 89*z - 616. What is the remainder when h(0) is divided by q(-8)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -4 - 4. Suppose 0 = -14*u + 17*u + 24. Let l(s) = -s**2 - 11*s - 20. Let n be l(u). Put 0, h, n, 2 in decreasing order.\nAnswer: n, 2, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, l: 1, n: 3, r: 3, e: 5}. Give prob of sequence nwne.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 23557*u + 2. Let h(z) = -2*z. What is n(h(t))?\nAnswer: -47114*t + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least -21\/967?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.69*-26737.94.\nAnswer: 18449.1786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 3.6 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 96390381?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 95050 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 330 and 2102925.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 - -10. What is the greatest common divisor of 28 and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 778*(-26)\/(-180) - (-8)\/36. Let h = 112 - q. Let m be (-33)\/36 + (-4)\/(-6). Which is the closest to 3? (a) h (b) -3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/5, 2\/11, -136, -18, 0.2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 149380013 is divided by 1189?\nAnswer: 1187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -50*u + 56*u. Let o = 0 + 4. Suppose v - u*v = -o. Solve -g = -5*i - 0*g + 16, 2*i + 8 = v*g for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/((-54)\/(-294))*15\/10*48. Which is the closest to 0.1? (a) -0.2 (b) g (c) 2\/11 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o + 10*o**2 - o + 6*o + o**3 + 5 - 4*o**2. Let i be (-16)\/3 - 3\/(-9). Determine k(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1226, -1227, -1228, -1229, -1230?\n\"Answer: -m - 1225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23096?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 120 - 105. Suppose -5*w = -4*v - s, 10*v - 5*w + 15 = 5*v. Let x be (882\/21)\/(-2 - v). Which is smaller: -16 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 + 14*p**2 + 11*p - 8. Determine t(15).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 - (-15 + (-5 - -6)). Let u = 42 - -14. What is the greatest common divisor of u and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 14*g + 1. Let j be q(6). Let n be 2\/(-8) - j\/(-20). Solve -n*o = -4 - 12 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 2*m + 3 + (2 - 2 + m)*(1 - 2 + 0) + (-m - 4*m + 2*m)*(-1 - 3 + 2) in the form l*m + b and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -17*j**2 + j + 1. Suppose -4*a = -3*a - 2. Suppose -5*d + 4*d - a*l - 1 = 0, -2*l + 1 = -d. Let x be h(d). Is x at least as big as -18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**3 - 81*h**2 - 3612*h + 45540.\nAnswer: 3*(h - 46)*(h - 11)*(h + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 5. What is the derivative of 4 - 5 + 2*r**3 + 2 + n wrt r?\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 11:37 PM?\nAnswer: 9:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (592\/24*1)\/((-2258)\/(-3387)).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4817 * -3.\nAnswer: -14451","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 11:22 AM?\nAnswer: 3:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 14754917 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*f = -f - 1141 - 331 for f.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -44*a. Let h(c) = -2*c**2 + 645*c. Calculate u(h(k)).\nAnswer: 88*k**2 - 28380*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n - n - n)*(-1 + 2 + 0 + (-209 - 259 - 123)*(-1 + 1 - 1))*(4 - 1 + 0)*(2 + 1 - 1).\nAnswer: -7104*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 13746600 to the nearest 100000.\nAnswer: 13700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ozogzozzgooguo. Give prob of sequence oz.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3715 = -5*h - 5*z, 3*z + 2200 = 4*h - 737. What are the prime factors of h?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*a**6 + 99*a**4 + 9*a**3 - 9107*a**2?\nAnswer: 240*a**3 + 2376*a + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -134 + 153. Suppose -j*g + 340 = -28977. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -443 - 456 - 2*q + 899.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the third derivative of d**6\/120 - 3*d**5\/20 + d**4\/3 + d**3\/3 - 28*d**2. Let c be o(8). Solve -c*h = 5 + 1 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -32, -74, -120, -170, -224, -282?\n\"Answer: -2*g**2 - 36*g + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/9))**(8\/7)*s*(s**(3\/4)\/s)\/s*s**(-1\/3)*s**(-6)\/(s\/s**3)*(s**(1\/5)*s)\/(s\/(s*s*((s*s\/(s*(s*s**(-2\/11))\/s)*s)\/s)\/s*s)) assuming s is positive.\nAnswer: s**(-20173\/13860)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q - 3. Let p(t) = -2 - 1 + 4. Let h(g) = 5*a(g) + 15*p(g). Let c(o) = -2*o + 0 + 0. Give h(c(j)).\nAnswer: -10*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -9295805 divided by 1?\nAnswer: -9295805","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101 = -4*j + 121, j = 5*i - 18230. What is i rounded to the nearest one hundred?\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 34*2*(-3)\/12. Let k be 6\/8 + t\/12. Is k at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 62788, 251037, 564780, 1004011, 1568724, 2258913, 3074572, 4015695?\n\"Answer: -n**3 + 62753*n**2 - 3*n + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 202?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -346760.8 rounded to the nearest 1000?\nAnswer: -347000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, u: 1, f: 2, o: 1, y: 3, m: 1}. Give prob of sequence yy.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 64120 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 - 9*s**2 + 2*s - 8. Let g be k(9). Suppose 0*r = 2*r - g. What is the nearest to 2 in r, 0.4, -1\/7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of 0*m**3 + 1\/12*m**4 + 0*m + 6*m**2 + 0. Let c(f) = 20*f + 6. Let n(q) = 2*q + 1. Let x(b) = c(b) - 6*n(b). Give l(x(j)).\nAnswer: 16*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t = l - 10*t - 992, 2*l - 5*t - 1979 = 0. Are l and 977 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 36 = -2*c, -5*r + 1554 - 1521 = -4*c. Let l(t) = 2*t**3 + 25*t**2 - 5*t - 206. What is l(c)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 - 19. Let o(n) = n**2 + 5*n - 6. Give o(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 divided by -30.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 - 3*t + 5. Let l be n(4). Let o = l + -53. Is (-4)\/(o\/1733)*(-4)\/4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 222*i**4 + 5*i**3 + 4*i**2 + 4606*i - 4. Let u(r) = r**3 + r**2 + 2*r - 1. Let m(k) = f(k) - 4*u(k). What is the second derivative of m(b) wrt b?\nAnswer: 2664*b**2 + 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15345*u**4 + 728*u**2 wrt u?\nAnswer: -368280*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, w: 1}. Give prob of sequence hh.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 872635 to the power of 1\/2, to the nearest integer?\nAnswer: 934","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 3:00 AM?\nAnswer: 7:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -20*z - 1. Let g(r) = 10*r + 1. Let v(k) = -2*c(k) - 5*g(k). Is v(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 53911882?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24775 and 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = -5*v + 60, 3*v - 56 = x - 0 for v.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 67 + 1 + 21\/(63\/6). Let v(u) = 9*u + 1. Let l(p) = p - 4. Let d be l(7). Let w be v(d). What is the greatest common factor of y and w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0*3\/6 - -4. Suppose -6*b + 4*b - y = 0. Does 6 divide 32\/5 - b\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 122000123102 + -211?\nAnswer: 122000122231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 64*x**2 - 7*x + 1. Let k be r(3). Suppose 0 = 3*d + c - 427, 6*d = 2*d + 2*c + k. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24535 - 24547.41412. Let q = 12.784 + n. Let h = q - 0.37. Round h to four dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 72.\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -2*p - 8. Let y be x(-9). Let k be (-86)\/(-10) + 4\/y. Suppose 52 + k = 5*t + 3*m, -45 = -5*t + 5*m. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20081 or 341352\/17?\nAnswer: 341352\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 1278?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of -6*v**5 - 108*v - 106. Find the first derivative of b(c) wrt c.\nAnswer: -120*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10096*a**5 + 4408*a wrt a.\nAnswer: 201920*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1194503, -2388997, -3583491, -4777985, -5972479, -7166973?\n\"Answer: -1194494*q - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + (-15 - -5) - (-1 + -3).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*u - 0*u. Suppose -3*c + 36 = u*k - 4, -5*c = 3*k - 30. Suppose -4*i + 572 = -w, 4*i + k = 2. What is w rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -181*f - 236*f + 134*f - 8*f + (2*f - 4*f + 3*f)*(1 - 4 + 5).\nAnswer: -289*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 10:47 PM?\nAnswer: 9:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-4)\/(r\/(r**21*r*r*r)))\/(r**(-16))**(-6) assuming r is positive.\nAnswer: r**(-77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**2 + 5*u + 68. Let a be g(35). Let i = 6189 + a. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*h + 11*h - h**2 + (-3*h + 5*h - h)*(-2 - h + 2) + (4 - 4 + h)*(-16 - 3*h + 16) + (-h + 6*h + 3*h)*(-h + 1 - 1).\nAnswer: -13*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*f + 5*f + 15*f - 28*f + 6*f.\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 977405 divided by -1367\nAnswer: -715","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 63275173?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -29*c - 40. Let g be d(-7). Let z = g + -161. Suppose 3*i - 2 = -2*a - 0*a, -2*i + 4*a = -12. What is the highest common factor of z and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21165 greater than or equal to 21019?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 95708.32um to kilometers.\nAnswer: 0.00009570832","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.8 + 1.9. Let o = 1.9 + 8.1. Let m = o + -15. What is the second smallest value in h, 1\/7, m?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0 and 181849763475.\nAnswer: 181849763475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1128159585?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 885364 or 885366?\nAnswer: 885364","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45 divided by -4.\nAnswer: 45\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 420389 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 174 and 861402.\nAnswer: 24980658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 511*f + 2687*f + 983*f - 162*f in the form m*f + r and give m.\nAnswer: 4019","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = f + 2*g - 4, -2*g - 4 = 3*f - 16 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/456 and 89\/120.\nAnswer: 2280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9993653?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (5 + -3)) + 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -30860442 + 54489172. Let l = v + -23628712.000009. Let m = l + -18. Round m to six dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -1 + 14*h + 3 - 14*h**2 - 7. Let f be -1 + (8 - -1) + 0. Let w(n) = -205 + 10*n**2 - 5*n**2 - 5*n + 207. Determine f*w(y) + 3*u(y).\nAnswer: -2*y**2 + 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -582.9 + 583.4. Which is the closest to 0.5? (a) 4 (b) -0.8 (c) 0.4 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + 27 + -64 + 29.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11*a + 15*a + 6*a)*(-1 + 3 - 3)*(0*a + 2*a - a) to t + z*a + x*a**2 and give x.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 97045 * -39.3.\nAnswer: -3813868.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 1270 to the nearest 100.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22680 - 22673. Solve x*d = 1242 - 1298 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -287, -308, -333, -362, -395, -432, -473?\n\"Answer: -2*b**2 - 15*b - 270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(56)\/(sqrt(56)\/sqrt(7)) + -3)**2*-2.\nAnswer: -144 - 36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -252314, -252301, -252288, -252275, -252262, -252249?\n\"Answer: 13*q - 252327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3675? (a) 35 (b) 64 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 3*x)*(13*x**3 - 6*x**3 + 8*x**3 + (-x**2 + 3*x**2 - x**2)*(x + 0*x - 3*x)).\nAnswer: 39*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h**2 - 3*h**2 - 3*h**3)*(147 + h**2 - 84 - 98) + 0*h**3 + h**5 + 0*h**3 + (0 - h + 0)*(-4 + 2*h**4 + 4) - h**5 + 0*h**5 + 0*h**5.\nAnswer: -5*h**5 + 105*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 w when two letters picked without replacement from {u: 1, p: 1, w: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.5 (b) 116 (c) 0.041 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 5:44 AM?\nAnswer: 8:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o**2 - 14*o - 10*o**2 - 4 + 14*o.\nAnswer: -13*o**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 171 or -18\/35?\nAnswer: 171","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6500 divided by -325.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sg when two letters picked without replacement from {s: 3, g: 1, p: 5, v: 4, w: 1, f: 3}.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 88 * -1390858.\nAnswer: -122395504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -109 (base 10) in base 11?\nAnswer: -9a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 318.48 and 12 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15 - (-4 + 9 - -2)) + 1?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29\/(58\/51092) + -20.\nAnswer: 2, 12763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 + (-2 + 30)\/4. Suppose -4*o - 6*f - v = -2*f, 0 = 5*f + 5. Suppose o = 2*q - 2*g - 306, 3*q + 145 = 4*q + g. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of 181*v**4\/12 - 4*v**3\/3 + 7*v**2\/2 + 18*v - 34. Let s(d) be the first derivative of j(d). List the prime factors of s(1).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 977*x - 58. Let z(g) = 326*g - 17. Give -2*b(n) + 7*z(n).\nAnswer: 328*n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 + s - 6. What is the remainder when 143 is divided by x(5)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2 - 37*r - 108. Let x be j(-34). Sort x, 2, -9 in descending order.\nAnswer: 2, x, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*l - 50*l = 84*l + 4320 for l.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -183, -181, -177, -171, -163, -153?\nAnswer: -141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.16711773 to three dps.\nAnswer: 0.167","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -7*g**2 - 7*g - 7. Let t(a) = 3*a**2 + 3*a + 3. Let s = 14 - 9. Suppose l = 4*l - 6. Determine l*c(b) + s*t(b).\nAnswer: b**2 + b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 6 = 2. Let d(j) = j**2 + 44 - 44. Calculate d(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19509032*c**4 - 2*c**3 + 12*c**2 - 19788 wrt c?\nAnswer: 468216768*c - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0*(0 + 2\/4). Let u = 3 + s. Differentiate 2*h**4 + 0*h**4 - u + 2 with respect to h.\nAnswer: 8*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5713*c + 9 = 5712*c - 4*u, -5*u = -3*c - 7 - 3 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-27)\/9)\/(0 - 1). Calculate the greatest common factor of 1 and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-17641)\/(-230))\/13 + -6.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*b = 51*b - 227 + 884 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of k**6\/780 + k**5\/195 - 5*k**4\/52 - 12*k**3\/13 + 82*k**2 - 4*k. Factor o(r).\nAnswer: 2*(r - 4)*(r + 3)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.88 + -4.627. Let z = h - 2.623. What is z rounded to one decimal place?\nAnswer: -2.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 182996213 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2103 + -5267. Let t = h - -15261. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 + 14*g**2 + g - 13. Calculate b(14).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4\/49 or -3062?\nAnswer: -4\/49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 663?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**4 + u**2 - u**2 - 3*u**4 - 2*u**4 + 2*u**4 + (4*u**4 + u**4 - 3*u**4)*(-2 - 3 + 3) + 5*u**4 - 2*u**4 - 2*u**4 - 4*u - u**4 + 4*u.\nAnswer: -8*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - 0*w + 16, q - w = 0. Suppose -55 = -q*i + 129. What are the prime factors of i?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 + 11. Let t(h) = h**3 + 11. Suppose 0 = 2*s - 2*o - 22, -1 = -5*s - o + 24. Calculate s*f(g) - 5*t(g).\nAnswer: g**3 + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 7, 1\/6, 6, -1, 0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*o + 4*n + 13, 27*n = 22*n - 35 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 3*o + 4 = 0, 3*k - o = 23. Let d be 2\/k - (-132)\/48. Suppose 9\/5*f**2 + 9\/5*f**d + 3\/5*f + 0 + 3\/5*f**4 = 0. What is f?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0*7\/49 + 26. Suppose -30 = -5*m + 4*g, 3*m = 3*g + 5 + 16. Suppose 3 = m*j - 3*f, -4*j - 6 = -3*j - 4*f. Solve x = -5*k + j for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 589097220?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -27 - 3. Let c be 4\/(-6) + (-76)\/h. Suppose -84 = -2*u - 4*x, -c = 3*x - 3. Calculate the highest common factor of 16 and u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1116664 is divided by 558119?\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -3*s + 0*s + 5 - 6 + 5*s**2 - s. Let v(i) = -238*i - 2 + 11*i**2 - 1 + 229*i. Determine -7*f(x) + 3*v(x).\nAnswer: -2*x**2 + x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5 + (-20)\/(-4))*-1. Solve -5*t + 2*t = x for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 + 14*d**2 - 12*d - 15. Give x(13).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -3*a + 4*a**2 - 3*a**2 + 13 + 7 + 4*a. Let j be d(0). What is the third derivative of 8*u**2 - j + u**3 + 20 wrt u?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.282 - -70.382. Let c = 71 - x. Is c greater than -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence swww when four letters picked without replacement from swwwswwswsssws.\nAnswer: 35\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 7*c - 53. Determine b(-28).\nAnswer: -249","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*m + 18 + 38. Solve 0 = 2*c - m + 2 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of f*n**3 + 28*f - 3*n**3 + 67*n**2 wrt f?\nAnswer: n**3 + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 12*o**2. Let a(u) = 132*u + 0 - 284*u + 143*u + 0. Give g(a(f)).\nAnswer: 972*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -3*l, 5*n + 3*l - 10 = -28 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 328309863350 - 21826039715093593\/66480. Let j = 1\/4432 - r. Calculate the common denominator of (-19)\/2*(-3)\/(-18) and j.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53 is divided by 15 + -2 + 2 + -1?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 0.1 (c) 14\/5 (d) -3439\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 39 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 13101? (a) -0.07 (b) -114 (c) 3 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 2*g - 52 = -3*g, 4*g - 164 = -5*o. Suppose -5*l = 4*d - 27985, -11 + o = -5*d. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101000110111 + -10?\nAnswer: 1101000110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -36*p**4 + 280248*p**3 - 5776900*p**2 + 3757856*p - 621120 = 0.\nAnswer: 1\/3, 20, 7764","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -293489, -293488, -293487, -293486?\nAnswer: -293485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -497 and -21976.\nAnswer: 10922072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -p - 3*y + 1028, 4*y - 619 = -3*p. What are the prime factors of p?\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*y**4 - 1031*y + 445*y**5 + 515*y + 516*y + 972*y**2 wrt y?\nAnswer: 26700*y**2 - 48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18913690 divided by 8?\nAnswer: 9456845\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 24\/56*(-2)\/3. Let o = 1 - 3. What is the nearest to -1 in -3, c, o?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1959212, 1959190, 1959168?\nAnswer: 1959146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7169 a factor of 2609895957?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 120 - 100. Suppose -3*v = -7*v + k. Suppose 4*h - v*c = 68, -4*h + 3*h + 17 = -4*c. Is h a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1913, -4052, -6415, -9002, -11813, -14848, -18107?\n\"Answer: -112*f**2 - 1803*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1051.4 - 1052.4. Which is the biggest value? (a) o (b) -0.2 (c) 0.3 (d) -3\/2 (e) 64\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 414868698 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-48)\/2)\/(3\/(-2)). Suppose -y = -2*r - 2*r. Solve -3*h + r*h = -z + 7, 0 = z - h + 1 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2723.7 - -2724. Which is the biggest value? (a) 0.4 (b) -6 (c) 40 (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -201*k = -203*k - 10. Sort -2, k, 1, 99.\nAnswer: k, -2, 1, 99","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(15) + sqrt(105)\/(sqrt(7) + 1*sqrt(7)))\/sqrt(3))**2 + 2.\nAnswer: 41\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 0, -7, -26, -57?\n\"Answer: -6*z**2 + 11*z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 3*m - 1. Let p be o(2). Let x be p\/2*(-8 - -10). Suppose -x*g = 4*i, g = 4*i - 5*i - 1. Which is greater: -26\/5 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-58)\/2 - (1 + -3). Let j(b) = 2*b**2 - 4*b - 17. Let n be j(-4). Let g = n + u. Solve -4*d + 12 = g for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -10107.235903118 - -3.\nAnswer: -10104.235903118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-44)\/(-12))\/(-19*(-16)\/2736)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 620 - 619.999291. What is i rounded to 4 dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 738383686.\nAnswer: 2, 369191843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1759176427 to the nearest integer?\nAnswer: 1207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4420 = -4*r - 2211 - 2209. Which is bigger: r or 46\/1167?\nAnswer: 46\/1167","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, n: 1, v: 2}. Give prob of sequence yv.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o - 14. Let f(a) = -3 - 3 + 5 + 5. Let x(p) = -14*f(p) - 4*m(p). Let i(g) = -g**2. What is x(i(c))?\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 44, 2, -5, 13531, -1\/2, 1\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 51700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 + 50 = k + 4*x, -3*k + 134 = -4*x. Suppose -k*s = -48*s - 182. Let t = 91 - s. Solve -5*z + z + 16 = t for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -391*v - 3101. Let p be n(-8). Calculate the highest common divisor of p and 81.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11907.26*-0.35.\nAnswer: 4167.541","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 - 771*z**2 + 52525*z - 14181. What is h(-834)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 24*q**2 + 321*q + 65*q**2 - 4352*q - 43*q**2.\nAnswer: -2*q**2 - 4031*q - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 337 (b) -4 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -176977, -176979, -176951, -176875, -176733, -176507, -176179, -175731?\nAnswer: -175145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 156.802 - 155.3. Let p = 1.5 - r. Round p to two dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/120 and 89\/41310.\nAnswer: 165240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 - 8*m**2 - 6*m + 7. Let p be i(-7). Let s(b) = p*b + 0*b - 2*b. What are the prime factors of s(-9)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -749 - 71?\nAnswer: -80a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17788*r**4 - r**3 + 36*r**2 + 5547578*r wrt r.\nAnswer: 213456*r**2 - 6*r + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 19 + 2 = 2*s, -2*s = -8 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (408\/210)\/((-8380)\/146650).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*o + 19*o + 5*k - 11 = 0, 5*k = 2*o - 1 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*g - g + 30. Let b be g\/30 - 26\/(-5). Solve 15 = -4*j - b for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1101 + -1099. Sort 21, r, 1\/4 in descending order.\nAnswer: 21, r, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, w: 2}. Give prob of picking 1 b and 1 w.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -233 in -0.2, 0.2, 3\/5, 24?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19256 - 135423\/7. Let g = v + 90. Which is smaller: g or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -j**2*r + 27*j*r + 234*r wrt j?\nAnswer: -2*j*r + 27*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -2 + 14. Suppose -4*c = 2*k - 28, c - 5 = -0*c. Suppose -k*d + 48 = -0*d. Solve i*a - 3*a = 2*g + d, 0 = 3*g + 12 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4\/3 (b) 678 (c) -45 (d) 33 (e) -5 (f) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 - 3*d - 18. Let s be b(6). Let t be ((-18110)\/(-8))\/(s + 4\/16). Suppose -7*n + t = -5*n - j, 2*j = 6. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the third derivative of 5*q**4\/24 + 12560*q**2. Let w(v) = -186*v**2. Let h(r) = 37*r**2. Let z(s) = -21*h(s) - 4*w(s). What is z(l(i))?\nAnswer: -825*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, y: 8, c: 7, w: 4}. Give prob of sequence cywy.\nAnswer: 196\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2391 = 185*n - 726 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1795, 3368, 4921, 6448, 7943, 9400, 10813?\nAnswer: 12176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 96117 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 222*c**2*k**3 + c**2*w**2 - 255*k**3*w wrt w?\nAnswer: 2*c**2*w - 255*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.033 and 2771.\nAnswer: -91.443","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -23\/4 in 0.9, -0.2, -3, -21.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1764 and 252?\nAnswer: 1764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, -8, 4\/2109, 6.8, -2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 8*g**2 + 1. Let z(h) = h**2 - 4*h + 3. Let a be z(2). Let c be p(a). Suppose 0 = -4*b - 4*t + 48, 2*b - 33 = -2*b + t. Is b bigger than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 391*g - 960 = 371*g. What is the lowest common multiple of 48 and g?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33, -17, 37 in descending order.\nAnswer: 37, 33, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 45*o + 1. Suppose p = 4*p + 9, 0 = -m - 5*p - 15. Suppose m = n - 0*n + 5*j + 23, -3*n = -j - 11. Is d(n) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 32 - 21791487?\nAnswer: -21791455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*q - 0. Let y(w) = -6*w - 2*w + 0*w + 2*w**q + 4*w + 2. What is the common denominator of y(-4) and -81\/50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 * 13\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -j**4*k + 59*j**4 + 651*j**3*k - 2*j**3 + 3312*j**2*k + j**2 + j + k wrt j.\nAnswer: -24*j*k + 1416*j + 3906*k - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -3\/7 (c) -265\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -5*d**3 - 100*d**2 - 555*d - 900 = 0.\nAnswer: -12, -5, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -14*r**2 + 8*r - 2. Let f(a) = -9*a**2 + 5*a - 1. Suppose -7*m - m - 40 = 0. Determine m*j(o) + 8*f(o).\nAnswer: -2*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 502503?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1118 (b) 44 (c) 2\/35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -57 or -61?\nAnswer: -61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 71\/6 (c) 0.4 (d) 52\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -40*u - 56. Calculate h(-6).\nAnswer: 184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/32*(-5149)\/(-30894).\nAnswer: -1\/96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002180305615 to seven decimal places.\nAnswer: -0.0021803","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from {n: 2, a: 7}.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.42, -415941, -1, 4\/5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2\/2 - 16818*f - 141422562.\nAnswer: -(f + 16818)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 7*i**4 - 4 + 9 + 9*i - 11 - 6*i**4 as n*i + s*i**2 + x*i**4 + u*i**3 + w and give n.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 448252381 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r + 2*r + 2*r. Suppose 0*f - f = s - 4, 5*f - 5*s = 0. What is d(f)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -75*u + 339*u + 63*u + u + 2 - 2 + u - 3*u + 0*u + (1 + 0 + 2)*(-2*u + 2*u - 2*u) to the form a*u + b and give a.\nAnswer: 320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5329 + 5332. Solve -d = c, u*c - d + 9 + 7 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 936926*l. Let a(d) = 12*d. Give t(a(r)).\nAnswer: 11243112*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -8049, -16029, -24009?\n\"Answer: -7980*p - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 97*s**2 + 6*s - 4. Let x(f) = -13*f - 1. Calculate n(x(y)).\nAnswer: 16393*y**2 + 2444*y + 87","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 347042?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 6) to base 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3.6 + -260.13\nAnswer: -263.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d**5 - 177*d**4 + 318*d**3 + 1458*d**2 + 1209*d + 255 = 0. Calculate d.\nAnswer: -1, -1\/3, 5, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3123*h**3 - 10*h**2 + 2079*h**3 + 10*h**2.\nAnswer: 5202*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + -4230?\nAnswer: -4221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 7:22 PM?\nAnswer: 11:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 + 16*r**2 + 15*r - 26. Determine y(-15).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*a**2 - 67 + 67)*(3*a**2 - 5*a**2 + 0*a**2)*(-a + 2*a - 2*a).\nAnswer: -34*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -204738.4043 to the nearest one thousand.\nAnswer: -205000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 368028 is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -8*g**5\/3 - 20*g**4 - 88*g**3\/3 + 124*g**2\/3 + 32*g - 64\/3 = 0.\nAnswer: -4, -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -4*u + 204, -3*u - 228 = -3*f + u. Suppose 15*m - f = 6*m. Let a be -3*26\/(-10) - m\/10. Which is greater: a or 3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of v**4\/4 + 2*v**3 - 4*v**2 - 3*v - 1. Let u be y(-7). Let m = -41 + 43. Solve -m*a - u = -2 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -410, 1, 4 in ascending order.\nAnswer: -410, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2545\/1694 - 2\/847. Let d be (1 - (0 + 0))*0. Which is the nearest to -0.4? (a) -4 (b) n (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.18 + 0.18. What is the closest to -1 in p, -1\/3, 1\/7?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -719*b**3 + b - 402 with respect to b.\nAnswer: -2157*b**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -56390256 by -6.\nAnswer: 9398376","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -120022020 (base 3) in base 16?\nAnswer: -2b95","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 55 and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/10, 13, 1, 0.2, -3122 in decreasing order.\nAnswer: 13, 1, 0.2, -3\/10, -3122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**5 - 45*v**4 - 150*v**3 - 210*v**2 - 135*v - 33.\nAnswer: -3*(v + 1)**4*(v + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -58369*t**3*x - 3412037*t**3*z + 7*t**2*x*z - t*z - 4*x*z - 2*z wrt x?\nAnswer: -58369*t**3 + 7*t**2*z - 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -35 + 22. Let x = z + 8. Let d(h) = -3 + h**3 + 14 - 3*h**2 - 3*h + 7*h**2 - 8. Give d(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 25 + 24bb?\nAnswer: 2513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2069 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 7, n: 5, l: 2}. Give prob of sequence nen.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6473 - 2266 = -3*j. List the prime factors of j.\nAnswer: 3, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55162027 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 135.95 + -136.35. What is the fourth biggest value in -2\/11, -6, p, -64, -1?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = -4*z - 0*r + 10, -3*r - 16 = -2*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -968.385 to the nearest 100.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 206075543 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together 21625169741 and -7285.\nAnswer: 21625162456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, 2\/3, 3\/2, -38, 8.8?\nAnswer: 8.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 14 = j - 3*j, 0 = 3*d + 2*j - 2. Suppose 5 = -d*l + 49. Is l a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 586 (base 15) to base 14\nAnswer: 655","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j - 3. Let t be y(-3). Let r = 1 - -4. Solve r*b - 2*b = t for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 AM and 11:50 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 198012028 to the power of 1\/3, to the nearest integer?\nAnswer: 583","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -998*f = 5854 - 12593 + 52647 for f.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 264 and 192?\nAnswer: 2112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 289173569 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 285*u = 273*u + 52836. What is the highest common divisor of u and 148?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -2*h**2 - 6*h - 3. Determine x(-4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*k - 11*k + 365*k - 336*k.\nAnswer: -21*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -353879*p = -354318*p + 878. Find x such that 1\/9*x**5 - 82\/9*x**p + 58\/9*x**3 + 53\/9*x - 17\/9*x**4 - 13\/9 = 0.\nAnswer: 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 15) to base 6\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 4*o = -7*d + 4, -2*d - 4*o = 20 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 36 - 36 + 22*s**3 + (3 - 6 - 8)*(-2*s**3 + s**3 + 0*s**3).\nAnswer: 33*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*j = -2*d + 13, -199*d = 2*j - 174*d - 77 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from {k: 3, z: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 2*w + 5*k - 3 = 0, 0 = -10*w + 5*k - 25 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 14*g - 141. What is k(17)?\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000011110111111 - 100101?\nAnswer: -10000011111100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n**2 + 850162*n**3 - 850164*n**3 + 2*n**2.\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/2392 and 49\/492752.\nAnswer: 492752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -270 by -15.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8484 - -17498. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13 + 3?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in -0.1, -0.5, 1, 2\/15?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 13*o + 377 = -642 + 271 for o.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 20\/(-16)*(0 - 4). Suppose 5*z + 115 = 3*n, 2*n + 0*z = v*z + 75. Calculate the greatest common factor of n and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 198.81 - 198. Let d = -0.11 + g. Let w = 34 + -38. Which is smaller: d or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 PM and 8:39 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 189377 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - -19. Suppose -2*m - 5 = -h. Solve 16 = m*t - 4 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eqme when four letters picked without replacement from eeqeeeqmeqqee?\nAnswer: 28\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.0984274252 and -0.1587.\nAnswer: -0.2571274252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + v + 1421 = 0, 2*v - 3521 = 40*m - 45*m. Is 19 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -14.49 and 2?\nAnswer: -28.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - (-84 - (-12 - (3 + 14))).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -68640 by 22.\nAnswer: -3120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4428*h*s**4*z + 1003*h*s**2*z + h - 2*z wrt s.\nAnswer: -106272*h*s*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a millennium in months?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 - 22*p**2 - p + 28. Let x be a(22). Suppose -2*s + 4*s = 4. Let h = x - s. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 4557 = -5*g + 2*g, 3*g - 4557 = -4*l. Suppose g = 4*n + 3*n. What are the prime factors of n?\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 4*u**2 - 564*u + 560 = 0.\nAnswer: 1, 140","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*v**3 - 3*v**2 - 29*v**3 + 3*v**2.\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 4*b - 118, -3*z + 120 = 5*b - 35. Let d = z - 24. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 166\/3920447 + 76170074263\/6860782250. Let p be (4\/125)\/(28\/(-2)). Let i = p + x. Calculate the common denominator of 70\/3 and i.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1917 + 1912. Let g(v) = -4*v**2 - 5*v + 5. Suppose -12 = -2*r - 0*r. Let x(t) = -3*t - 4*t**2 + 6 - 6*t - t + 4*t. What is f*x(a) + r*g(a)?\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + f - 1)*(-8 + 13 - 6)*(5 + 10 - 3) to u*f + t and give u.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 6:45 AM?\nAnswer: 12:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/15 and -41\/16255?\nAnswer: 48765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 71205383.\nAnswer: -4\/71205383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -52803, -407061, -1368617, -3241119, -6328215?\n\"Answer: -50608*y**3 - y**2 + y - 2195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1024364 to the nearest integer?\nAnswer: 1012","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -43 + 45. Let n be (-72)\/(-33) + w\/(-11). Suppose 146 = -0*d + 3*d - 2*t, -2*t - n = 0. Does 9 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x**2 - 85*x**2 - 10*x**2 - 51*x**2 - 53*x**2 - 21*x**2.\nAnswer: -218*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 AM and 6:13 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 8613.431 nanograms in milligrams?\nAnswer: 0.008613431","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3327, -6630, -9933, -13236?\n\"Answer: -3303*f - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -23 - 4*q**2 + 23. Let i(y) be the first derivative of 3*y**2\/2 + 94. Calculate c(i(g)).\nAnswer: -36*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((-3*1*sqrt(78) - sqrt(78))\/(sqrt(6) - (sqrt(54) + sqrt(6))*1))**2.\nAnswer: 217\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-4))**(2\/139)\/(((y**(-10\/3)\/y)\/y)\/(y**(3\/10)*y)))**(-31) assuming y is positive.\nAnswer: y**(-850051\/4170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 16 + 24. Put -6, -1, -2, i in descending order.\nAnswer: -1, -2, i, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + g - 2*g + (-2 + 2 - g)*(-1 + 3 - 1))*(615*g**2 - 1258*g**2 - 86*g**2).\nAnswer: 2187*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 68 + 55. Let y = x - 118. Solve -3*o = o + 5*m + y, -o - 5*m = 5 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 338872?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (-9 - (9 - 3))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + (sqrt(3645) - -5*-3*sqrt(3645) - (4 + -3 + sqrt(3645)))*3)*1)**2.\nAnswer: 4860*sqrt(5) + 7381129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 b when three letters picked without replacement from ttwmttbm.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1482*s + 3012*s - 3416 = 1474*s for s.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2520.1204 and -0.5?\nAnswer: 2519.6204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.8 - 0.2. Let d = -463 - -461.07. Let i = 1.63 + d. Which is the closest to 1? (a) i (b) w (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) -4 (b) 4 (c) 5\/4 (d) 3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 - 12*q**2. Let r(u) = -u**3 + 19*u**2 + 22*u - 28. Let t be r(20). Let c be k(t). Let f be (-2)\/23*(3 - 2). Are c and f unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -42 - -54. What is the common denominator of 5\/27 and (-178)\/54 + -7 + t?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(2\/5)*d\/(d**(-3\/2)\/d)*(d**(-2\/3)*d)**(-17)*(d**(-1\/2)\/(d**(-2)*d))\/(d**(-6\/5)*d**(4\/7)) assuming d is positive.\nAnswer: d**(-67\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.25 - 0.35. Let v = -11372 + 11376. What is the closest to c in v, -5, -0.08, 0?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24.0483km to nanometers.\nAnswer: 24048300000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 11*n - 30. Let i be 10 + 90\/(-6) + 6. Sort 21, i, n in descending order.\nAnswer: 21, n, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16175373 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 3*q. Suppose q = z - 5 - 0. Suppose 2 = -z*j + 6*j. Solve 0 = j*v + o + 2, -1 = -4*v - 3*o - 3 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -97817*c. Let w(g) = g. Calculate w(d(o)).\nAnswer: -97817*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27 + -21. Which is smaller: 2 or u?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 + a + 1. Let k(s) = -4*s**2 - 2*s - 2. Suppose 2*i - 5 = g, -5*i - 1 + 21 = 5*g. Determine g*k(p) + 2*w(p).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -572 + 582. Let b(r) = r**3 - 2*r**2 - 4*r - 2. What is the remainder when b(4) is divided by n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/3))**(-3)*(s\/(s**(-4)\/s*s))\/s*s\/(s**(-5)*s)*s*(s*s**(-2\/13))\/s*s*s**(-7)\/s*s**(2\/3)*s**(2\/15) assuming s is positive.\nAnswer: s**(302\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 74204113 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -19081088?\nAnswer: -3\/19081088","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -540*w**3 - w**2 + 383*w.\nAnswer: -3240*w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1459086569 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -156539 + -9a?\nAnswer: -156628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*i - 2*q = 106, 10008*i + 2*q = 10003*i + 38 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -4*a + a, 56 = -4*v + 4*a. Let q = v + 7. What is the second biggest value in 0.5, q, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 2:19 PM?\nAnswer: 9:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by 73.\nAnswer: 7\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/4, -29, 3, 4\/9, -5, 3\/28?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -7*k**3 - k - 1. Calculate the remainder when 12 is divided by m(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6624078 a multiple of 435?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(3\/4)\/(p\/(p*p*p*p**(1\/2))*p))\/(p**(-2\/7))**(5\/2))\/(p**(-2\/9)*p**4)**(-1\/45) assuming p is positive.\nAnswer: p**(34567\/11340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 464\/19, -2\/5, 4\/3 in increasing order.\nAnswer: -2\/5, 4\/3, 464\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38383*g**3 + 50513*g**3 - 107859*g**3 - 135867*g**3.\nAnswer: -154830*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 2221?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 4740 = 2*o, -7900 = 5*x + 4*o - 3*o. What is the common denominator of (2\/40)\/(15\/x) and -59\/30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2323 - 2746 - 2226 - 1330 - 3320)*(-8*c + 2 - 9*c**3 + 8*c).\nAnswer: 65691*c**3 - 14598","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-6)\/(-21))\/(((-8)\/(-7))\/8). Solve -3*n - 5*x = n - 19, 3*n + w*x = 9 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (0 + sqrt(832))*2.\nAnswer: 16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y**4 - 2*y**2 + 2*y**2 + y**2 + (-4 + 2*y**2 + 0*y**2 + 3)*(30122*y - 30122*y + 1222*y**2).\nAnswer: 2446*y**4 - 1221*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 5*z + 67, -24 = 2*z + 4*n - 0*n. Let o be ((-40)\/(-910))\/((-12)\/z). Which is greater: 1 or o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2 + 25. Let k be (2 + -2)\/(-4 - -2). Let u be w(k). Suppose -u = -2*i - 5. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19157 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 40 = -i. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 + 7. Let l(d) = -d**3 - 3*d**2 - 2*d - 4. Let x be l(p). Find the third derivative of -i**2 + 2*i**2 - 2*i**x - 2*i**6 wrt i.\nAnswer: -240*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14.4 - 12.4. Sort -8, -1.3, i.\nAnswer: -8, -1.3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(120) - (sqrt(120) + -2*sqrt(120) + sqrt(120)))\/(-1*sqrt(294)).\nAnswer: -2*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7307?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*d**2 + 9510*d + 3957525 = 0. What is d?\nAnswer: -1287, -615","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - -21) + (-10 - -11) + 5.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -1449*l**2. Let y(g) = 4*g. Give y(d(k)).\nAnswer: -5796*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.9 - -3. Let u = 3 + 4. Let m = 5 - u. Which is smaller: m or s?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3854603?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2495, 19980, 67431, 159830, 312159, 539400, 856535?\n\"Answer: 2497*g**3 + g**2 + 3*g - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 44356398?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -17204 or -17193?\nAnswer: -17193","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 16168409 a multiple of 215?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 12) in base 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - -1) + (0 - 11). Let t be (8\/u)\/((-6)\/15). What is the third derivative of -t*h**2 + 2*h**2 - 2*h**4 + 6*h**4 + h**2 wrt h?\nAnswer: 96*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/5 - 18\/(-5). Suppose -2*c = -j*c + 2. Is (c\/(-3))\/((-7)\/126) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3592673 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-128)\/(-80)*(-90)\/468)\/(2*-1)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 3*m - 2, -4*p = -p - 2*m + 6. Let z = 2.1 + -0.9. Suppose 4*g = -7 + 3. What is the second biggest value in g, z, p?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 149715 and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 680031, 1360049, 2040065, 2720079, 3400091?\nAnswer: 4080101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 30897886.\nAnswer: 61795772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8 - 8*m - 7 - 9 + 1)*(-29 + 14*m + 29) in the form y*m**2 + d + u*m and give u.\nAnswer: -322","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 + (-284)\/12*12\/80. Let c(u) be the third derivative of 0*u**3 + 0*u - 2*u**2 + 0 - 1\/4*u**4 + i*u**5. Factor c(j).\nAnswer: 3*j*(9*j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 54 = -162. Find the common denominator of 1 - (248\/12)\/1 and 1\/((-4)\/((-196)\/f)).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0+0.2189\nAnswer: 0.2189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u - 4. Let j(r) = -10*r + 13*r - 4*r - 5. Let o be (-1)\/(30\/(-14) + 2). Calculate o*x(b) - 6*j(b).\nAnswer: -b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 211619 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-20007833)\/(-164593) - ((-2)\/(-6))\/((-13)\/3). Which is bigger: -2 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 times -18\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 946971 is divided by 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36775, -73851, -110927, -148003?\nAnswer: -185079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - w - 197 = 0, -4*l - 4*w + 30 + 142 = 0. What is the remainder when 85 is divided by l + (-4 - (3 - (0 + 2)))?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1\/1205 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -da7 + 3d25?\nAnswer: 2d5c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -2\/12589 (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 19*l + 4 + 19*l**3 - 44*l**3 + 23*l**3 + 2 - 5*l**2. What are the prime factors of a(-8)?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 8*s. Let z(y) = 54*y - 2. Let k(w) = -85*w + 3. Let n(l) = 4*k(l) + 6*z(l). Determine i(n(j)).\nAnswer: -128*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.7826593 to 3 decimal places.\nAnswer: 5.783","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 3, 15, 21 in decreasing order.\nAnswer: 21, 15, 3, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-14)*j*j\/(j**(-2)*j) assuming j is positive.\nAnswer: j**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u - 3*u + 3*u)*(-2 - 1 - 2)*(-2*u**4 - 3*u**4 - 2*u**4).\nAnswer: -35*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2*l**2 + 2*l - 3. Let a(w) = w**2 + 17*w + 55. Let f be a(-13). Let r(t) = 4*t**2 + 3*t - 5. Determine f*r(i) - 5*m(i).\nAnswer: 2*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 130 = -2*o - 92, -d = o - 54. Let f(p) = -p**3 + 3*p**2 - 3*p - 4. Let s be f(3). Let h = d + s. Does 21 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -347*h + 5470. Give l(16).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + sqrt(52) + sqrt(13) - sqrt(52)*3)*4 - (0 + sqrt(1300) + (sqrt(156)\/sqrt(192) - sqrt(13))))**2.\nAnswer: 850*sqrt(13) + 100325\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 m when three letters picked without replacement from {o: 1, d: 6, v: 1, j: 3, m: 4}.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 5*f + 76 = -a, a - 52 = f. Suppose 587799*d - 587844*d = -630. Calculate the highest common factor of a and d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/18 and 17\/36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 + 139*o + 2314. Determine h(-123).\nAnswer: 346","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -29 + 19. Let k be p*((-90)\/(-4) + -2). Let v = -545 + k. Round v to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 + 9*m + 6. What is h(-7)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) -60 (c) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -173 + 5. Let l = -203 - t. What is the second biggest value in 5, 2, l?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120002022 (base 3) in base 2?\nAnswer: 10101011110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -11 - (11 + 0 + 351\/195*-17)\nAnswer: 43\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 14946857, 14946826, 14946795, 14946764, 14946733, 14946702?\n\"Answer: -31*i + 14946888","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -66434*o**5 - 7569*o + 2.\nAnswer: -1328680*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 - 7*n. Let o be d(-7). Suppose o = -4*f + 12, -5*f = h - 6*h + 50. List the prime factors of h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7.45 - 52.28. Let w = u - -5.33. Round w to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -12\/2537, 5, -4, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 377829?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2067452*o**2 - 4*o. Let u(w) = 21*w. Give u(z(h)).\nAnswer: 43416492*h**2 - 84*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 56\/1288*299*((-2)\/(-5))\/(13\/(-65))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 603 divide 1979046?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 474693050 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 41, 43, 47, 53, 61, 71, 83?\n\"Answer: p**2 - p + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 388 + -553. Let d be 682\/n - 4\/(-30). Does 47 divide (((-32)\/10)\/d)\/(14\/1190)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 15 = -2*n, 3*n = 3*w - 21. Suppose w*y - 288 - 566 = 0. What are the prime factors of y?\nAnswer: 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 516 is divided by 119.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 + 0. Let f = 18 - z. Let g(b) be the second derivative of b**4\/6 - 2*b**3 + 6*b**2 + b - 10. Let h(y) = y**2 - 5*y + 5. Determine f*g(d) - 12*h(d).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 188337251 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 5*j = 281 - 216, -p + 67 = 4*j for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -2, -3, 3, -1, 5 in decreasing order.\nAnswer: 5, 3, -1, -2, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 3 - 3)*(-46*p - 96*p - 161*p).\nAnswer: -1212*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**2 + h - 4. Let m be 15*11\/66 - (-6)\/4. Let q(a) = -3*a**2 - 4*a - 3. Let z(k) = k - 1. Let x(l) = -q(l) - 6*z(l). Calculate m*x(g) + 9*t(g).\nAnswer: 3*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4 + -2 + 3)\/(3\/(-5)). Let p(n) = -n**3 - 22*n**2 + 50*n + 53. Let q be p(-24). Solve -k*z + q = -0*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 470805309 by 849.\nAnswer: 554541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*f + 173 - 320 + 147.\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2*i**2 - 5*i - 6. Let o be (-21)\/15 - 9\/15. Let j be 2*4\/4*o. Is t(j) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -30\/101 (b) 1 (c) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 95 and 4844715.\nAnswer: 4844715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 224*n + 800. Let i be h(-3). Calculate the greatest common divisor of i and 6464.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (9 - 9)\/(1 + 1). Let z = 557 + -552. Which is the smallest value? (a) -3 (b) -4 (c) z (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 PM and 3:05 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-2\/3)*y)**(-1\/46)*y*y*y*y**5*y**5 assuming y is positive.\nAnswer: y**(893\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2833*c - 9056?\nAnswer: 2833","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-3)\/5)\/((-1)\/5). Suppose -m - b*m = 3*s - 20, s + 20 = 4*m. Is m a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 161\/(-46) - 63\/(-14). Which is smaller: c or -10\/43?\nAnswer: -10\/43","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -2\/25 (b) 0.11 (c) -279 (d) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a + 12. Let o(v) = -2*v + 12. Let h(c) = -2*o(c) + 3*s(c). Let j be h(-10). Sort j, -0.3, -1\/2 in decreasing order.\nAnswer: j, -0.3, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 328127934?\nAnswer: 2, 3, 54687989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of 453*u**4\/4 + 746*u**2 + u - 237. What is the derivative of r(x) wrt x?\nAnswer: 2718*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1216 a factor of 2757888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 3*q - 23 = 0, v - 5*q + 0 = -1. Find the third derivative of 0*p - 36*p**2 - p - 17*p**v + p wrt p.\nAnswer: -408*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-395)\/1422)\/((-53)\/30 + 14\/140).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (5 - 44\/8)*0. Put 22, 5, l, -2 in ascending order.\nAnswer: -2, l, 5, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjjm when four letters picked without replacement from {j: 6, w: 1, m: 4}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of p**7\/840 - p**6\/360 - p**5\/60 - p**3 - 3. Let f(m) be the third derivative of l(m). Factor f(i).\nAnswer: i*(i - 2)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -658 + -0.19?\nAnswer: -658.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*m = -80 - 40 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 510\/1020 + (2\/(-6))\/(4\/10)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -16797 (base 11) to base 9\nAnswer: -35310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2*(3 - 2) - (-90)\/42 and 2*(-2 + 35\/11).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 v, and 1 c when three letters picked without replacement from bvqbqcbqdcbqdbb.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2*w**2. Let i(m) = -m - 4. Let n(l) = 3*l + 6. Let b(z) = 3*i(z) + 2*n(z). Determine h(b(r)).\nAnswer: 18*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*c = -27 - 21 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5021 to the power of 1\/2, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t**3\/4 - 112799*t**2\/2 - 2030463*t\/4 = 0. What is t?\nAnswer: -9, 0, 225607","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m**5\/15 + 6356*m**4\/5 - 361444*m**3\/15 - 239752*m**2\/3 - 412302*m\/5 - 83732\/3 = 0. Calculate m.\nAnswer: -1, 22, 9515","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2*g**2 + 2*g + 1. Let l(i) = 0*i**2 - i**2 - 682 + 681. Calculate -2*k(c) - 2*l(c).\nAnswer: -2*c**2 - 4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 60 + -1798531?\nAnswer: -1798491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 divided by 40?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-13)\/(-3))\/(3\/(-9)). Let y = k + 8. Suppose 12*t + 44 = 44. What is the nearest to 1 in 2\/13, y, t?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -113822603108810888297346753643127\/82072024342 - -1386862381199517559444. Let b = 1279\/596458 + p. Let k = b + 1\/1787. Which is smaller: -1 or k?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1243.04 - -1196. Let h = -1.6 + 48.6. Let k = h + t. Which is the biggest value? (a) 0.2 (b) -2\/15 (c) -2 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 p when two letters picked without replacement from {o: 1, y: 2, s: 2, p: 2, q: 1, d: 1}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 143*c**3 + 14*c**2 - 10*c + 12. Let s(b) = -71*b**3 - 8*b**2 + 6*b - 7. Give 3*q(a) + 5*s(a).\nAnswer: 74*a**3 + 2*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the third derivative of -r**7\/42 + 5*r**6\/24 - 3*r**5\/4 + 35*r**4\/24 - 5*r**3\/3 - 18*r**2. Factor o(x).\nAnswer: -5*(x - 2)*(x - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 194 - 186. Does 2 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14496, 4, 3, -1\/11 in increasing order.\nAnswer: -14496, -1\/11, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7 + 65*y + 52*y - 107*y + (3*y - y - y)*(0 + 0 + 1) + 4 - 4 - y.\nAnswer: 10*y - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3, 4, 25, 66, 133, 232, 369?\n\"Answer: p**3 + p**2 - 3*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2129*s + 45 + 50 - 136 + 41.\nAnswer: 2129*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8427337 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 8 = 2*g, 5*c + 2 - 15 = -4*g. Suppose h - g = 18. Let o be (-10)\/h*(-1 - 3). Solve -2*b = -o*s - 5 + 3, 17 = -3*b - s for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -3*h + 5. Let p = -7 + 0. Let v be m(p). Solve 5*b + 2*z - v = 0, -3 = -3*b + z + 6 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) -28\/5 (c) -38 (d) -2 (e) 60\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 15.585 to one dp.\nAnswer: 15.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1638760351?\nAnswer: 131, 2677, 4673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the third derivative of q**9\/7 + q**7\/105 - 2*q**5\/15 - 3*q**4\/2 + 34*q**2. Find the third derivative of l(c) wrt c.\nAnswer: 8640*c**3 + 48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99.64438 years in decades?\nAnswer: 9.964438","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 17\/4 of a decade?\nAnswer: 510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 24*v**3 + 49*v**2 + 5*v - 3. Let g(r) = r**3 + 13*r**2 + r. Calculate -4*g(x) + y(x).\nAnswer: 20*x**3 - 3*x**2 + x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 101640 and 18150?\nAnswer: 508200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 3*g**3 - 82929*g**2 + 1657380*g = 0.\nAnswer: 0, 20, 27623","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 4*o = 6, 16 = 5*l - 10*l - 2*o. Let u be (-5 + 10 - 0) + -20. Is (u - -19) + (l - 0) - -4305 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 943727767?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -5 + 5\/((-15)\/(-6)). Let i be 12\/(0 + -1 - d). What is the second derivative of -r**5 + 6*r**2 - i*r**2 - 3*r wrt r?\nAnswer: -20*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 20*z**2. Let l(b) = 66385*b - 6461. Let r(i) = 144*i - 14. Let a(s) = -6*l(s) + 2769*r(s). Determine x(a(c)).\nAnswer: 3629520*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-102)\/(-68))\/(18\/(-120)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-104040)\/(-1836))\/(12\/(-9) - -3).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 219, -79?\nAnswer: 219","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1190, 4616, 10336, 18356, 28682, 41320?\n\"Answer: p**3 + 1141*p**2 - 4*p + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 5:51 AM?\nAnswer: 8:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3728 is divided by 1187?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8077963141 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*y = 12 - 46. What is the third derivative of -7*l**3 + 9*l + 0*l**2 + 4*l**2 - 3*l**4 + 3*l**y - 6*l**2 wrt l?\nAnswer: -72*l - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 786*x - 790*x + 5*k - 93, k = -x - 21 for x.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*s**4 + 47201*s**3 - 24949*s**2 - 6*s wrt s.\nAnswer: -96*s + 283206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -28 - 90 + 238*o + 4*o**3 - 26*o**3 - 78 - 2*o**4 - 19*o**2 + o**2.\nAnswer: -2*(o - 2)*(o - 1)*(o + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 713163 = 30*g + 27*g - 24*g. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -3*t**2 - 4*t + 1. Let z(q) = q + 1. Let k(b) = -y(b) - 3*z(b). Calculate k(3).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 164.189 grams?\nAnswer: 0.000164189","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12998478 and 11208.\nAnswer: 2802","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 s when two letters picked without replacement from swskwswxwukuwxwxkw.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 15*c**2 + c + 2. Let a(b) = -61*b**2 - 3*b - 9. Let u(q) = -2*a(q) - 9*y(q). What is the second derivative of u(r) wrt r?\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 87340*b**4 - b**3 - b**2 + 6*b + 49244.\nAnswer: 349360*b**3 - 3*b**2 - 2*b + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -67*z**3 - 3*z**2 - 78*z + 107912 with respect to z.\nAnswer: -201*z**2 - 6*z - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 182 and 130.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 309*a. Let o be k(-1). Let r = -134 - o. Let j = r + -2623\/15. What is the biggest value in 1\/8, j, -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*l + 2*g - 18 = -17*l, -5*l = 2*g + 22 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3366?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1474948\/9 or 163883?\nAnswer: 163883","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*z - 6 + 6)*(-2*z - 16 + 85 + z) - 3*z + 3*z + 2*z**2.\nAnswer: -3*z**2 + 345*z","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - -1. Let v be (l + 7)*(-10)\/(-6). Let s = v + -8. Does 3 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*k + 90 + 108. Let b(q) = 11*q - 24. What is the tens digit of b(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 176 - 176.000174. What is h rounded to five decimal places?\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 247, 14, 86.\nAnswer: 14, 86, 247","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 24*g + 24. Let d(y) = -y + 7. Let b(w) = -9*w + 23. Let h(k) = -b(k) + 4*d(k). Let a be (7\/(-2))\/((-1)\/(-4)). Calculate a*h(m) + 3*v(m).\nAnswer: 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -3*h - 135, 227 - 728 = -4*k - h. Is k a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*m\/m**(-1\/2)*m))**(7\/4))**36\/(m**(-5)\/m*m**(2\/7)*(m**(-1\/8)\/m)\/(m*m**(-5\/2))) assuming m is positive.\nAnswer: m**(-8521\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -14*v**2 - 84*v - 40. Give f(-6).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 9314 and -122.2?\nAnswer: -1138170.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, y: 2, x: 2, w: 4, v: 6}. What is prob of picking 1 c and 1 x?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -397*b + 1534*b = 38658 for b.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 minus 0.12046?\nAnswer: -5.12046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 4*sqrt(16)\/sqrt(8) - (sqrt(18)*1 + sqrt(6)\/sqrt(3) + -1))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmx when three letters picked without replacement from {m: 5, x: 2}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 746389 is divided by 2001?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -4*o + 6*o + 4*o**2 + 9 + 11*o. Let p(j) = -j**2 - 3*j - 2. Determine 4*l(x) + 18*p(x).\nAnswer: -2*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3\/4, 2, 0.04, -1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 304366353?\nAnswer: 3, 101455451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 + 18*c + 4. Suppose 6*b = -91 + 199. Give l(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -75 - -41. Let p = -10 - q. What is the greatest common factor of 72 and p?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-2)*15\/45*6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of s**9\/432 - s**5\/20 + 4*s**3 + 4. Let v(q) be the third derivative of b(q). What is the second derivative of v(l) wrt l?\nAnswer: 140*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*v**3 + 10*v**3 - 9*v**3.\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15934 and 109996?\nAnswer: 3409876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 24 - 17. Calculate the remainder when 17 is divided by f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.5 in 1, 5, -2\/3, 1.7754, -1\/2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(((-5)\/(-2))\/(-5)). Let f(d) = 2*d**3 + 3*d**2 + 2*d - 1. Let a be f(o). Let p = 15 + a. What is the greatest common factor of p and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1, 195, 725, 1759, 3465, 6011?\n\"Answer: 28*l**3 - 2*l - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*l - 3*l + 2*l + (-3*l + l + 4*l)*(2 + 0 + 1))*(-27*l**3 + 245*l - 245*l) to u*l**4 + r*l**2 + a + n*l**3 + v*l and give u.\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100000001111110101100 (base 2) to base 4.\nAnswer: -10001332230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 15*(-1)\/(-2)*-2. Let l be (42\/30)\/((-3)\/c). Suppose -8460 = 4*p - l*p. What is p rounded to the nearest one hundred?\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/17 (b) -1\/5 (c) 3 (d) -19702\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-1 - 0) + (-6 - (-2 + 16 - -5))\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of -4*y**2 + 0*y**3 - 1\/42*y**7 + 0*y**4 + 0 + 1\/60*y**5 + 0*y + 0*y**6. Find the third derivative of w(n) wrt n.\nAnswer: -120*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -232121 + -23?\nAnswer: -232210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 q, and 1 i when three letters picked without replacement from gdqdaiai?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 928334524.\nAnswer: 2, 13, 2473, 7219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1335 - 1401 = 12*v + 10*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32, 532, 6 in decreasing order.\nAnswer: 532, 6, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 955520 and 303079.\nAnswer: 1493","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -2*v**4 + 74422*v**3 + 40309530*v**2 + 80395786*v + 40160680 = 0.\nAnswer: -532, -1, 37745","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 70 (b) 5 (c) -28196\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - r - 12 = 0, 0 = 5*d - 4*r + 5*r - 8. Suppose 2*k - 3*g = 0, -d*k - 2 = -3*g - g. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 0.8 (c) -15530\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 11148 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d**5\/9 + 184*d**4\/9 + 2446*d**3\/9 - 15856*d**2\/9 + 6808*d\/3 = 0 for d.\nAnswer: -74, -23, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 53681 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 - 27.5. Let h = p + 31.9. Let k be 0 + 1\/(28\/(-16)). What is the second smallest value in h, 3\/7, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 345.\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 = 3*f - 835. Let x = f - 253. Solve 2*p = -x + 8 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 4*u = -0*u - 9 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than -42\/29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7813 - 14242 = -2005*r for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 220*q**3 - q**2 + q - 5. Suppose 3*b + 60 - 66 = 0. Let w be a(b). Suppose -115*d + w = -114*d. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2248, -4316, -6374, -8416, -10436, -12428, -14386, -16304?\nAnswer: -18176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 11:31 AM?\nAnswer: 4:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 47 + (-24 - (-8 - (-7 - (21 + -31))))\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 398111023.\nAnswer: 157, 233, 10883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 502984.8 litres?\nAnswer: 502984800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*l**3 + 130*l**2 + 38*l + 5 wrt l.\nAnswer: -18*l + 260","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 l when two letters picked without replacement from {l: 1, p: 1, d: 2, b: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(51) + sqrt(459)*6)\/(2*sqrt(3)*2 + sqrt(3)))**2.\nAnswer: 6062\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-235*v**3 + 248*v**3 - 922*v**3)*(-2*v + 0*v + 0*v) in the form i*v**2 + h*v**4 + j + a*v**3 + y*v and give h.\nAnswer: 1818","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 a factor of 159000?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 2148*u**3 - 28829*u**2 + 7*u - 7. Let p(w) = 1431*w**3 - 19219*w**2 + 5*w - 5. Let g(v) = -5*k(v) + 7*p(v). Find the third derivative of g(i) wrt i.\nAnswer: -4338","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 47 - 14954*o + 29898*o - 14952*o. Give k(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 197*b - 31611 - 6109 = -623*b for b.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -79 - -103. Solve -5*y + p = -y + u, -y + 2*p = 13 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16369 + 16372. Solve -2*b + s*v - 19 = -9, 3*v = 5*b + 16 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2220 - 514. What is the tens digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -4*x**2 + 4*x - 2. Let f(z) = -5*z**2 + 5*z - 2. Let t(y) = 5*f(y) - 6*l(y). Let u(d) = -2*d**2 + 2*d + 5. What is 5*t(g) - 2*u(g)?\nAnswer: -g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -89, -120, -151, -182, -213, -244?\nAnswer: -275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2011, -1992, -2001, -2050, -2151, -2316?\n\"Answer: -2*c**3 - 2*c**2 + 39*c - 2046","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-3))**(1\/30)*k*k**(1\/12)\/k*k*k*k**(5\/4))**20 assuming k is positive.\nAnswer: k**(196\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-13)\/(-91)*-2 - (-50)\/28. Factor -11\/2*f**2 - 1\/2*f + r - 7\/2*f**3.\nAnswer: -(f + 1)**2*(7*f - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in -424\/3, 0.06, -0.5?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35282*p**3 - 17400*p**3 - 17700*p**3.\nAnswer: 182*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, 1, -7.\nAnswer: -7, -3, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 2*m + 5*m**2 - 3*m - 2 - m**3 + 4*m + 2*m. What is the units digit of x(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 6657 = -3*d - 1173, 4*d - 5485 = -3*u. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -2 (b) -36\/11 (c) -1\/157 (d) 38 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 610906?\nAnswer: 2, 47, 67, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + -9. Let t = x + 5. Let r = 2.9 + -3. Put r, t, 0.3 in decreasing order.\nAnswer: 0.3, r, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -4.6. Suppose -3*y + 0*z + z = 0, 3*y = -5*z + 18. Let a = 6.1 - 2.1. What is the closest to y in w, a, -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2067*2341\nAnswer: -4838847","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 21a5 (base 12) to base 7\nAnswer: 13601","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the third derivative of -t**4\/12 + 2*t**2. Let x(q) = 2*q**2. Calculate a(x(i)).\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 + 0 = 5*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/16*224\/42?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 - (-4 - -6)\/1. Let z = 6 - 15. Put z, d, 0, -4 in increasing order.\nAnswer: z, -4, d, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5035 + 4?\nAnswer: -5031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -9578\nAnswer: 957.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 13 - 17 = 0. Let p be (y - (-16)\/(-6))*(-45)\/100. Which is smaller: -3 or p?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*k**2 - 2*k + k**4 - 2*k**2 + 3*k**2 + 16*k**3 - 2 - 15*k**3 to the form v + g*k + c*k**3 + s*k**4 + h*k**2 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 12718 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: Rearrange -72 - t**2 + 14*t**3 - 5*t**3 + 74 to z*t**3 + j*t + v*t**2 + c and give z.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -15643404 (base 7) in base 10?\nAnswer: -1523463","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14347, 14346, 14345?\nAnswer: 14344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3 + 2)*3)\/5. Let g = 9.1 + -9. Let y = -5.71 - -3.71. Which is the smallest value? (a) w (b) y (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 33.4 (b) -0.8 (c) -5 (d) -7 (e) -2\/13 (f) -3\/4 (g) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -153 + 408. Suppose 4*m - d = -m. Let q = -32 + m. Calculate the remainder when 55 is divided by q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 353*c - 176*c = 3005*c + 52540 + 54924 for c.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 580\/28 - 45\/(-35). Solve r*d - 13 = -57 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**2 + 1293*n - 7650.\nAnswer: -3*(n - 425)*(n - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -8. Solve 0*b = 4*b + l*w - 2, 5*w = 5*b - 25 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 3*i + 0*i + 996 = 0, -i + 1 = 0. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16.8 + -17. Let i = 0.1 + -1.1. Which is the closest to i? (a) s (b) -0.1 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 12*k = 12. Let n(w) = -3*w**2 + 3*w - 7. Let g(u) = u**2 + 1. Let l(a) = k*n(a) - 4*g(a). Calculate l(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2287 + 4807. Suppose 3*w - i = -w. What is the highest common factor of 9 and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 777053.9m in centimeters?\nAnswer: 77705390","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -74 + 76.87. Let q = 3 - i. Let j = q - -0.17. Sort j, -2\/13, -0.2.\nAnswer: -0.2, -2\/13, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 2 = 3*x - 5, 2*x - m = 5. Let g(q) = -4*q**2 + q - 2. Let r(k) be the first derivative of 5*k**3\/3 - k**2\/2 + 2*k - 4. Give x*r(j) + 4*g(j).\nAnswer: -j**2 + j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41 - 73 - 4*x**2 + 32.\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1804, 7012, 15686, 27820, 43408, 62444, 84922?\nAnswer: 110836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 107890147 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8182705?\nAnswer: 5, 1636541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2.34162545 <= -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51 = -3*o - 14*p, -11*o = -6*o + 3*p - 24 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 471 - 469. Let a(b) = 39*b + 17 - 44*b + 5*b**h - 4*b**3 + 3*b**3 - 11. What is a(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -j**2*p**2 - 74*j**2*p + 6*j*p**2 - 2*j*p - j wrt j?\nAnswer: -2*p**2 - 148*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 56 and 415800.\nAnswer: 415800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 364, 1122, 1894, 2686, 3504?\nAnswer: 4354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h + h + 0*h)*(3 + 1 - 3)*(0 + 4 - 1 + (1 + 4 - 1)*(6 - 3 - 2)).\nAnswer: -14*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 45.2 - 44.57. Let d = -9.3 - -9. Which is the biggest value? (a) s (b) -4 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 7:43 AM?\nAnswer: 9:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 97 = -43. Suppose b = o - 0*o + l, -5*o = -10. Calculate the greatest common factor of b and 260.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4094.\nAnswer: 2, 23, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 28429 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -52 + 51. Let f = 0.1 - 0.4. What is the closest to -1 in -5, w, f?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -348*s + 196*s - 808*s = 21120 for s.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 49252698293 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -4*v. Let u(d) = -168*d**2 + 47*d + 2. What is u(m(t))?\nAnswer: -2688*t**2 - 188*t + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4a7d13 (base 14) in base 10?\nAnswer: -2557229","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d**2 + 56*d - 86*d + 30*d.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 5 + 14)*(-3 + 4 + 1)*(-3 - 8 + 6)*(2*h - 3*h + 3*h).\nAnswer: -440*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -275, -269, -259, -245, -227?\nAnswer: -205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 5*v**2 - 3 - 2*v - 4*v**2 - 2. Let o be r(4). Suppose -3*b + 6 = -3*m, -4*b + o + 23 = 2*m. What is the least common multiple of m and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1055 + -4?\nAnswer: -1060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*y = -79*y - 435 + 285 - 347 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -873 (base 14) to base 12.\nAnswer: -b71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -13*((-6)\/(-3) - 1). Let l = 2 - k. Let t = l + -9. Does 3 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7542 + 7686. Solve t*z - 157*z = -26 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 PM and 2:27 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -276273 by 10.\nAnswer: -276273\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - 2.5. Let o = b - 3.5. Suppose 5 = -x + 3*l, -4*x - l = -8 - 11. What is the nearest to -1 in 3, x, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.05 - -1.95. Sort 1\/5, -2\/5, -0.5, i in increasing order.\nAnswer: -0.5, -2\/5, i, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/5 (b) 163 (c) 492\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, -21, -1, 2 in descending order.\nAnswer: 5, 2, -1, -5, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2178, 4359, 6550, 8757, 10986, 13243, 15534?\nAnswer: 17865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14850865 is divided by 23424?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21814 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 92646396 and 2754.\nAnswer: 918","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000186516 to 7 decimal places.\nAnswer: 0.0000187","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 12 + -8 - -6 - (-2 + -7).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 a, 1 b, and 1 g when four letters picked without replacement from {a: 2, g: 1, v: 1, b: 1, s: 1, f: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -12977107, -25954222, -38931337, -51908452?\n\"Answer: -12977115*a + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3, 8, 13?\n\"Answer: 5*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (36 - 0)\/(-3) - 1. Let w(r) = r**3 + 12*r**2 - 15*r - 1. What is the tens digit of w(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*a + 2*f = 4*f + 90, 2*f + 90 = 55*a + 34*a - 86*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3343586558?\nAnswer: 2, 13, 128599483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 + 9*h + 2. Let g = 10 - 19. Let n be m(g). Solve -3*a - 3 = -n*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 48 = 39. Suppose 4*g = -z + 13, 3*g = -h*z + 6*z - 9. Solve g*q - 5*p - 9 = 0, -3*q + 3 + 0 = 3*p for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55163 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence svcp when four letters picked without replacement from {c: 7, v: 1, s: 1, p: 10}.\nAnswer: 35\/46512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-11)\/((l*l**(-2\/27)*l)\/l*l)*l**7*l*l**0\/l assuming l is positive.\nAnswer: l**(-160\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17 + -9. Let h = n + -5. Find the third derivative of 6*b - 6*b + 3*b**h + 5*b**2 wrt b.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-6)\/4)\/3*(5210 - 5212). What is the closest to 76 in 4, 2, s?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -35*f - 119. What is the hundreds digit of j(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = s - 12, -40 = -5*s + 2*h + 3*h. Let c(k) = -6*k**3 + 5*k**3 + 3 + 1 - s*k**2 - 6*k. Give c(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(5\/3))\/(z*z*z\/(z\/z**(2\/3)))*z**(-2\/3)\/((z**(1\/4)*z)\/z*z*z) assuming z is positive.\nAnswer: z**(-25\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by -6566.\nAnswer: 1\/938","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vlp when three letters picked without replacement from {v: 1, p: 1, y: 1, l: 1, d: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -36 - -34. Let v be a\/(-2)*(-6 + 13). Let z = v + 13. What are the prime factors of z?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -178744, -178746, -178748, -178750, -178752, -178754?\n\"Answer: -2*x - 178742","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**2 - 11*r - 14. Suppose 0 = -3*q + 4*s + 199, 2*q = -2*q + 5*s + 264. Calculate the remainder when q is divided by h(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*u - 0*u, u - 17 = -4*a. Suppose -127 = -a*l + 103. Let t = -30 + l. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -63657418.9 + 74486073. Let s = -10828654.73000033 + n. Let t = 0.63 + s. Round t to seven dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4826710 is divided by 27900?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.07, 8, 2\/15, -3\/8, 0.44221, -5\/2?\nAnswer: 0.44221","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 PM and 10:43 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 207\/106913 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(15\/6 + -2). Let w = m + 6. Let v(t) = 3*t**2 - 2*t - 1. Let s be v(2). Solve 15 = s*h - w*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, q: 4, y: 1, f: 6}. What is prob of sequence fff?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 101.32 - 53.32. Which is the fourth biggest value? (a) k (b) 12 (c) 0.2 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11393082 a multiple of 402?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 585\/(-65) + (4\/10 - (-494)\/65).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100110101011 (base 2) in base 10?\nAnswer: -2475","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8810?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 32 - 32. Solve 3*x - 2 = 2*q + 2, f = -5*x - 5*q + 40 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - 3. Suppose 4*w + 526 = 3*h, w + z*h = 6*h - 138. Let m = 183 + w. Is 20 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2 + 146*j + 11833. Give p(-58).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -896*g + 2584*g - 771*g = 0. Let u = 0.1 + -0.1. Which is the nearest to g? (a) 1\/5 (b) 5 (c) u (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.5, 1.8, -1.07?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2245.956 millilitres in litres?\nAnswer: 2.245956","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 79309 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/(g**13\/g)*(g\/(g*g**(-1\/10))*g)\/g*g assuming g is positive.\nAnswer: g**(-99\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -34 + 71. Suppose -u + j = -23. Suppose -2*c + 4 = 0, -4*h + c + u = -c. Is 16 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 121552739?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/(-8) + (-49)\/28)*-44. Solve 35 = 81*j - n*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - i - 6, -2*y + 4*i + 2 = 3*y. Suppose -y*k = 5 - 9. Suppose k*m = 22 + 6. Is 7 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14 - -66. What is the derivative of j*b**3 - 8*b**4 - 26*b**3 - 26*b**3 - 9 wrt b?\nAnswer: -32*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 - 48\/20)*5. Factor -7*f**2 + 3*f**s + 4*f**2 + 2*f**2 - 5*f**2.\nAnswer: 3*f**2*(f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 58067334 to the nearest integer?\nAnswer: 7620","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 PM and 8:36 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, h: 1, o: 1, g: 3, y: 4}. Give prob of picking 2 y.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*b + 6*b - 5*b)*(-15*b - 63 + 63) + 11*b**2 + 1 + 0*b**2 + b**2 in the form g + v*b**2 + z*b and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 938513?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -328, -1537, -3552, -6373, -10000?\nAnswer: -14433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 1 = 11 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 179 - 47. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 61, -27, 4, -2, 1 in descending order.\nAnswer: 61, 4, 1, -2, -9, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 + 3*f**2 + 9*f - 11. What is i(5)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7.18 - -5.5. Let h = 1.78 + m. What is the nearest to 5 in 8, h, 0.5?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/9*f**4 + 0 - 4\/9*f + 0*f**3 - 2\/3*f**2.\nAnswer: 2*f*(f - 2)*(f + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2528?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -12121.94+1.52\nAnswer: -12120.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -22 > -0.194?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21996, 4, -2 in decreasing order.\nAnswer: 4, -2, -21996","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -110 - -48 - -85 - (105 - -2)?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -4*j**3 + 6*j**2 + 5*j - 9. Let t = 1463 + -1461. Calculate q(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 - 7 + 13 + 3 - 30 - 9)*(-25*o - 42*o - 23*o).\nAnswer: 3600*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 0*n = 0. Suppose t = -4 - n. Suppose -2*i - 8 = -2*l, 5*l + i - 28 = -2*i. Put t, 2, l in descending order.\nAnswer: l, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1536444030 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 5500*i**3 + 4*i**2 - i - 2. Let m(s) = -s**3 - 18*s**2 + 18*s - 18. Let h be m(-19). Is r(h) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 23*f**2 + 32*f**2 - 54*f**2 - 2. Let u(s) = -8*s**2. Give u(y(n)).\nAnswer: -8*n**4 + 32*n**2 - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - 141?\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2372 rounded to 3 decimal places?\nAnswer: 0.237","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/53)\/(570\/380)\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, 34, 4, 100 in descending order.\nAnswer: 100, 34, 4, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h - 1 - 1 + 8)*(-3*h**2 - 3*h**2 + 4*h**2).\nAnswer: -4*h**3 - 12*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 AM and 2:05 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -273781, -274180, -274587, -275002, -275425?\n\"Answer: -4*a**2 - 387*a - 273390","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 350 - 344. What is the second biggest value in -5, 0.4, 1\/6, h?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 111808?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 530 and 63494?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/3, -8961893, -0.3 in ascending order.\nAnswer: -8961893, -5\/3, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - z + 730004 = 0, 2 = 5*z - 18. Round u to the nearest ten thousand.\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 + -3)*(-4)\/6. Suppose 0 = -u*i - 2 + 6. Solve 0 = i*o - 0*o - 3*r - 7, o + 5*r - 10 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/18)\/((-9)\/486*6). Let b be -4 - (s + 1 - 3). Put b, 1, -13 in ascending order.\nAnswer: -13, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 200131424 (base 5) in base 15?\nAnswer: 108079","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:48 AM and 11:30 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -1680*t - 2. Let k(y) = 4*y**2. Determine n(k(m)).\nAnswer: -6720*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/1579 <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 79 and 79?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-70)\/40*(-61)\/122*(-2)\/(-2)?\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -19, 76\/49, -2\/11, 0.4, 0?\nAnswer: 76\/49","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -119233*p + 119233*p + 27*p**3 - 26*p**3.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 + 8*n**2 + 9*n - 8. Let f(m) = -72 + 75 + 0*m**2 + 2*m - 3*m**2 - 5*m. What is -8*f(o) - 3*l(o)?\nAnswer: 3*o**3 - 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*b + 28*b + 4*k = 865, -k + 288 = b. Let v = b - 286. Solve -z = -0*z + v for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 412542 divided by 45838\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l*l\/(l*l**(5\/3))*l*l**(-1\/15)*(l\/(l*l**(3\/17))*l)\/l**(-7\/3) assuming l is positive.\nAnswer: l**(376\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3220.\nAnswer: 2, 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = d + 1. Is d greater than -0.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*u - 2*u**2 + 31*u - u + 14*u + 5*u to the form t*u**2 + c*u + a and give c.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - 4. Suppose 3*y = 7*y + d*h + 20, 3*h = -y - 15. What is y rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of -1 + 1\/2*t**2 + 7*t. Does 3 divide n(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.4, 2\/9, -15\/7, -1\/4, 2.86.\nAnswer: -15\/7, -1\/4, 2\/9, 0.4, 2.86, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -691 - 1367 = -6*n. Let k = n - 224. What are the prime factors of k?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3744 and 333216.\nAnswer: 333216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiuijiijiijjjuj. Give prob of picking 1 i and 3 j.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-232693)\/(-662))\/703*3*(-4)\/(-198).\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 - k + 3. Let j be o(0). Suppose -3*z - 3 = 4*y - 1, 0 = -2*y + j*z + 8. What is the greatest common divisor of y and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2936\/120*79\/553 + 2\/(-63)*3.\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -5*x**2 + 10*x - 27. Let b(u) be the third derivative of -u**4\/24 - u**3\/6 + 36*u**2. Let f(a) = 6*b(a) - c(a). Does 15 divide f(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 + 4*g + 3. Let s be b(-3). Let h be (-4)\/(s - -4)*-521. Suppose -6*z + 5*z + h = 5*v, 2*v = -z + 206. What is the tens digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 65*g*t**3 - 8*g*t + 101*t**3 - 9*t**2 wrt g?\nAnswer: 65*t**3 - 8*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53 - 11 - 42 + 2499*b**2.\nAnswer: 2499*b**2 - 106","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3030021 (base 4) to base 2\nAnswer: 11001100001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -541 - 317 - 2*m - 347.\nAnswer: -2*m - 1205","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vovvovooovvo. What is prob of sequence oo?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 125 a factor of 4048750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 402 (base 5) to base 2\nAnswer: 1100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(2448) + 1 + -5 - (sqrt(2448) + sqrt(2448)*-2 + 3))**2 - (1*sqrt(2448)*-4 + 5)**2) + -2 + -5.\nAnswer: -432*sqrt(17) + 88049","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhuhhlhuzzhy. Give prob of sequence hl.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 1 + -1 + 6 + -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000100001110001110 - 101110?\nAnswer: 1000100001101100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.06 + -0.46. What is the closest to 1 in 0.2, g, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 + 16*b**2 + 12*b + 15. What are the prime factors of o(-15)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -123 in -16\/13, 0.42, 13?\nAnswer: -16\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -3 - (-16)\/(-8)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 40, 5, -10708 in decreasing order.\nAnswer: 40, 5, -10708","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -384 + w - 6*w - 195 - 660 + 184 in the form b + j*w and give b.\nAnswer: -1055","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqqe when four letters picked without replacement from eaeaaeeqeqaqaq?\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 6:32 AM?\nAnswer: 3:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 174 + 802. Suppose -9*s + h = -77. Round s to the nearest 10.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 - 3*l**2 + 18*l + 13. Let i be o(-6). Let y be (1 - 0)*(-17 + 9 + i). Let s(c) = -2*c - 4. Let h be s(-4). Solve h = -b + y*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -48071\/10 + 4815. Find the common denominator of (-3)\/12 + (-182)\/24 and t.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 12*w**2 + w - 6. Let h(b) = 23*b**2 + 2*b - 12. Let a(l) = -2*h(l) + 5*q(l). Does 4 divide a(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 188*x - 1341 - 163 = 0 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 99?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2280 and 29640?\nAnswer: 29640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are -16\/9 and 0.228543 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -157*q = -163*q + 18 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*v - 2*v + 17*v - 64*v + 8*v.\nAnswer: -36*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-11)\/(-10) - 1)*4. What is the nearest to t in 5, 0, -0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of -8*d**3\/3 - 18*d. Let q(c) = -3*c. Determine k(q(m)).\nAnswer: 48*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30 is divided by (7\/(-14))\/(2\/(-28))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -12*m - 10. Let h(g) = 2*g + 1. Let i(n) = -24*h(n) - 3*z(n). Let c(s) be the third derivative of s**5\/60 + 158*s**2. Give i(c(j)).\nAnswer: -12*j**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add 858 and 6.\nAnswer: 864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13\/6099694 or 1?\nAnswer: 13\/6099694","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/9 + (-19)\/(-3). Let o(m) = 13*m**2 - 7*m + 7. Let p(f) = -7*f**2 + 3*f - 4. Let u(b) = -6*o(b) - 11*p(b). Is u(h) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 + 2*v + 2. Let k be t(-3). Suppose m - 2 - 5 = 2*u, 0 = m - k*u + 8. Is 17 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 472 + 8421 + 3178 + 389 = 140*n for n.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*c + 2*c - 2*c)*(3 - 2 + 0) + (0 + 1 + 1)*(2*c + 1 - 1) - 2*c - 3*c + 3*c.\nAnswer: -5*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1.74 times 141\nAnswer: 245.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -11001101 (base 2) in base 13?\nAnswer: -12a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 768 or 2257\/3?\nAnswer: 2257\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1037551 is divided by 1338.\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times 456463.21?\nAnswer: 228231.605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 5 = -4*o, -5*f - o - 45 = 0. Let n = -1259561\/6 + 208995. Let q = n + 917. Calculate the common denominator of q and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 3 + 23. Let a be ((-6)\/9)\/(d\/528). Suppose -j = j - a. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1569\/290 - 183\/29. What is the smallest value in -5, -0.07, -1\/2, j?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of x**3\/3 - 17*x**2\/2 - 14*x + 15. Calculate the remainder when 69 is divided by h(19).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 76.456 to one dp.\nAnswer: 76.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/1620 and 7\/3645?\nAnswer: 14580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 4, 5\/2 in descending order.\nAnswer: 4, 5\/2, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2*j**2 + 8*j + 9. Let i(t) = 3*t**2 - 12*t - 10. Let x(g) = -3*i(g) - 4*r(g). Determine x(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 z when two letters picked without replacement from {z: 1, k: 7, y: 2}.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.18 * -18556.\nAnswer: -3340.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6527*s**4 + s**3 - 2*s**2 + 252*s wrt s.\nAnswer: -156648*s + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 + 11*z**2 + 24*z + 26. Let a = 53 + -40. Let d be n(a). Solve d = v + v + 8 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - 3. Let m = -0.04 + -2.96. Let t = 0.98 + -1.02. Sort s, -1\/4, t, m.\nAnswer: m, s, -1\/4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -10266, -11888, -13510, -15132?\n\"Answer: -1622*q - 8644","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 293597, 294601, 295605, 296609, 297613?\n\"Answer: 1004*g + 292593","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 8*k - 2040 = -6*k. What is the greatest common divisor of 1360 and k?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3521 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 40 - 32. Let q = 51 - g. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27262446 is divided by 12297.\nAnswer: 12294","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - 1)*(-6)\/(-1). Let n(g) = -104*g**2 - 3*g + 1. Let s be n(1). Let m = -102 - s. Calculate the highest common factor of j and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(18\/(-45)))\/((-5)\/4)*(-21975)\/879.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 - 3*m**2 - 32*m - 6. Let y be z(14). Let s be ((-8)\/(-16))\/(2\/8) - y. Round s to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - -92?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(3\/2))\/b**(-9)*(b**1)**(-1\/12))**50 assuming b is positive.\nAnswer: b**(2525\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*j - 9*j = -30*j + 399 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.15 - 140.\nAnswer: -140.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7373?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 + 69 = 7*l - 9 for l.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*j - 64 = 50*j. Let r be (-2)\/(j\/3)*72\/(-297). Suppose 0*b - 2\/11*b**5 + 2\/11*b**2 - r*b**4 + 2\/11*b**3 + 0 = 0. Calculate b.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 19274*v + 77104. Give y(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a meter in millimeters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -498 less than -17?\nAnswer: 481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 178164.\nAnswer: 2, 3, 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-4 - 626)\/(1\/(-6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4575 + 7384. List the prime factors of g.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -747699 - 2630733 = 114*v - 326*v. Is v a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -321 (base 11) to base 14\nAnswer: -1d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 6, u: 2, w: 3, y: 2}. Give prob of sequence wew.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5294355.\nAnswer: 3, 5, 11, 2917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -53138*r**3\/5 + 326*r**2 - 5*r\/2 = 0. Calculate r.\nAnswer: 0, 5\/326","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 + 18*r**2 - 18*r - 4. Let c be u(17). Let z be ((-10)\/15)\/1 + (-29)\/c. Which is smaller: 2 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of -c**4\/24 - 17*c**3\/6 + 2*c**2 + 28*c. Calculate w(-11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 - 2) + (-63)\/(-7). Suppose k*v - 4*v - 2*s - 13 = 0, -2*v - 2*s = -2. Calculate the greatest common divisor of 15 and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0097709211 rounded to two decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 48 = i + 3*i, -5*a + 46 = -3*i. Let o(u) = u + 72. Let s be o(0). Let t = s + i. Is t a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 749 is divided by 33?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2671.75 - -2903. What is v rounded to the nearest integer?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - 9?\nAnswer: -d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 6*y - y = 530, 0 = -2*c - 5*y + 221. Let o = c - 94. What is the third derivative of 22*k**2 + 6*k**2 + k**3 - 9*k + o*k wrt k?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 + 2*h**2 - 2*h + 1. Let x(n) = 0*n + 2 - 5*n + 2*n**3 - 5*n + 5*n**2 + 5*n. Determine -5*d(z) + 2*x(z).\nAnswer: -z**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3314 is divided by 559.\nAnswer: 519","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 3*t**2 + 272*t - 27340. Give z(-151).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 + 9. What is the smallest common multiple of b(0) and 11?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in 1\/4, -2\/19, -2, -10?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 + 14*d**2 + 14*d + 18. Let n be s(15). Suppose -8*i = -n*i + 10. What is the lowest common multiple of 7 and ((-6)\/(-18))\/(i\/(-66))?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**0)**(-28)\/(h**0)**(3\/32))\/(h\/(h**(-3)\/h)*h**(-4)*(h**(-3)\/h*h)\/(h\/(h*h\/((h\/(h*h**(-2\/3)))\/h)))) assuming h is positive.\nAnswer: h**(2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 2 p, and 1 s when four letters picked without replacement from {s: 4, x: 6, p: 5}?\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(833) + 1)**2 + 0 - (5 + sqrt(153)\/(sqrt(18)\/sqrt(2))).\nAnswer: 13*sqrt(17) + 829","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 176 and 48179384?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(550)*1)\/(sqrt(12)\/(sqrt(6) - sqrt(12)\/sqrt(2)*6)).\nAnswer: -50*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81 = x - 2*y, -32*x - 1208916*y = -1208914*y + 2592 for x.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -8*w + 1. Suppose 9*v + 9 + 0 = 0. Let j(i) = i. Give v*a(l) - 4*j(l).\nAnswer: 4*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*x**3 - 22*x**2\/9 - 32*x\/9 + 8\/9 = 0. What is x?\nAnswer: -1, 2\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12380828.\nAnswer: 2, 17, 163, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mam when three letters picked without replacement from hhmqqhqmqqqehaaqx.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 - 43 = 5*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16070 divided by 213.\nAnswer: 16070\/213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 - (-4 + -3 - (3 - 7)). Suppose -4*t - 5*o + 25 = 0, -t - 3*o = -0*t - 15. Sort x, 4, t in decreasing order.\nAnswer: 4, x, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.172112 minutes to nanoseconds.\nAnswer: 370326720000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/12*14\/(-42).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/770 and 45\/16.\nAnswer: 6160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 390?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14364?\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-4*3\/(-4))\/((-4)\/4)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14903869*p**3 + 17296545*p?\nAnswer: 89423214*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5350, -8726, -12102, -15478, -18854?\nAnswer: -22230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-12)\/(-10)*(-15)\/6. Let s(d) = 2*d**2 + 4*d + 1. What is the units digit of s(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -2*i**4 + 420*i**3 - 32928*i**2 + 1141504*i - 14751744 = 0?\nAnswer: 42, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kxxx when four letters picked without replacement from pxmxmxxmkmxvim?\nAnswer: 5\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10291 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11782?\nAnswer: 2, 43, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1)\/l**(-4\/3))**(-24\/11)\/((l**(-1))**(-2\/27)\/(l**(-6)\/(l\/(l\/((l**(-3)\/l)\/l))))) assuming l is positive.\nAnswer: l**(-535\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -145*o**2*u**3 - 64*o**2*u - 609056*u**3 wrt o?\nAnswer: -290*o*u**3 - 128*o*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 24428052 to the power of 1\/2, to the nearest integer?\nAnswer: 4942","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*n - 5. Let v(a) = -1267*a - 2. Let j be v(n). Suppose -4*r + j = 1782. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143407 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/(b**1\/b)*b*b*b*(b*b**1)\/b*b*b*b*b*(b**2)**(-2\/59) assuming b is positive.\nAnswer: b**(527\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -g, 0*h = -4*h + g - 6254. Suppose 5*c + 4460 = 3*u + 2*u, 3*c + u + 2692 = 0. Let y = c - h. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1404)*-2)\/sqrt(3))**2.\nAnswer: 1872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + 1)*(3 - 2 + 2)*(3*r + 1 - 1)*(-2*r + 4*r - r) to the form w*r**2 + f*r + y and give w.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 + 121*i**2 + 107*i - 1902. What is k(-120)?\nAnswer: -342","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -2*p**3 - 79*p**2 - 373*p + 25. Give s(-34).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 2 - (27 - 18)) + -1 + 2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 453 = 6*q - q, -5*l + 277 = 3*q. Let r = 88 - q. Let t(o) = o**3 - o**2 - 2*o - 4. Let x be t(3). Put 4, r, 0, x in descending order.\nAnswer: x, 4, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(180)*-3 + 4 + 0.\nAnswer: -18*sqrt(5) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (14 - (-2 + 10))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14591962 is divided by 2729.\nAnswer: 2728","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 166092, 332186, 498276, 664362, 830444, 996522, 1162596?\n\"Answer: -2*y**2 + 166100*y - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 9 = -r + 2, r - 4*q = 21. What is the tens digit of 12\/16*r*36?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 21 - 7 = 4*o, 5*i = 20. Let n be o\/(-3)*1 - 0. Suppose -n*j = 0, 4*c + c - 25 = j. Solve 0 = 5*l - c*z - 15, 5 + 0 = 2*l - z for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 PM and 3:47 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 4*p - 28, p - 18 = 4*a - 65. Suppose -2*s + 122 = a. Calculate the highest common factor of s and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 387*g - 3*d - d - 36, 5*g + d - 20*d + 22*d + 27 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3004)\/(-30))\/(16\/(-20)). Let d = 412\/3 + -5\/6. Let m = d + l. Find the common denominator of -28\/5 and m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (68 - 68 - 2*n)*(3 - 5 + 1)*(1 - 1 - 2*n).\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -6186, -12385, -18584, -24783?\n\"Answer: -6199*a + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 19709 divided by -19709?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 7*p**3 + 7. Let m be (-48)\/(-10)*40\/12. Suppose m = -0*u + u. Let n(c) = 22*c**3 + 22. Give u*g(a) - 5*n(a).\nAnswer: 2*a**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of t**4\/12 - t**2. Let h(n) = -n**2 - 9*n + 2. Let z be h(-8). Let p(k) = -290 + z*k + 585 - 294. Give -2*p(v) + 11*q(v).\nAnswer: 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.136 - -0.359. Round k to one decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the third derivative of a**6\/120 + 19*a**5\/60 + a**4\/8 - 53*a**3\/6 - 47*a**2. What is the tens digit of v(-18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/13, 32, 94, -2\/229, 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 95*w**3 + 3028.\nAnswer: 285*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*d*f**3*u - 9*d*f**2 - 97727*d*f*u**2 - 3*f**3*u**2 - 15*f**3*u - 635*f**3 wrt f.\nAnswer: 30*d*u - 18*u**2 - 90*u - 3810","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - r + 228 = 0, 2*r = 3*n + 62 - 204. Let g = n - -47. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 75560?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1201 is divided by 253?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-3 - -4 - -3) - -17\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*w**4*x**2 + 168*w**4 - 2*w**3*x - 5*w**2*x**2 - 3*w**2*x + 7*w**2 wrt w.\nAnswer: -48*w*x**2 + 4032*w - 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -6ccbd (base 14) to base 5\nAnswer: -32002233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 4. Let q = r - -2. Suppose -1 + 17 = j. Calculate the least common multiple of j and q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 - w - 5. Let g be v(4). Suppose -4*c = -3*c - 3. Solve g*d - 2*d - 14 = 2*r, c*d - r = 9 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -12238256 or 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1637, 3229, 4821, 6413, 8005?\nAnswer: 9597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -799907, -1599913, -2399919, -3199925?\nAnswer: -3999931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -91, -46, 9, 62, 101?\n\"Answer: -2*v**3 + 17*v**2 + 8*v - 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 5*j + 43, -2*k - 22 = -4*k + 5*j. What is the units digit of k*2*1\/6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*j + 67 + 37 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of -4*k**2 - 3. What is the least common multiple of g(-2) and (8\/2)\/((-1)\/(-2))?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -l**4*o + 2*l**2*o**3 - 3851*l*o - 85*o**3 - 2*o wrt l?\nAnswer: -4*l**3*o + 4*l*o**3 - 3851*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 137 + -123. Calculate the lowest common multiple of 40 and (38\/(-42) - 6\/d)*-12.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2438, 2420, 2424, 2462, 2546?\n\"Answer: 2*t**3 - t**2 - 29*t + 2466","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19202 - 16525. Calculate the remainder when c is divided by 99.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 224516?\nAnswer: 2, 37, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 4, 2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 divided by -10.\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of y**8\/1008 - y**7\/630 - y**6\/360 + y**5\/180 + 2*y**2 + 60. Let s(z) = 0. Calculate z.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 + 7*y**2 + 5*y - 1. Let d be s(-6). Suppose -3*p + 2*z = 6*z - 140, 4*z - 20 = 0. What is the greatest common divisor of p and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.978438 rounded to three decimal places?\nAnswer: -0.978","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11*z - 6*z - 29*z)*(38 - 3*z - 33 - z) in the form m + f*z**2 + q*z and give q.\nAnswer: -230","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (38 - 26) + (-20 - -7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9110804*f*n**3 + 63*n**3 - 2*n + 2494 wrt f.\nAnswer: -9110804*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3184, 3172, 3160?\n\"Answer: -12*g + 3196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 83*c**2 - c + 20 wrt c.\nAnswer: 166","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -4 (b) 3 (c) -1 (d) -0.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-240)\/(-7410)*(-2679)\/(-564)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -3*x**2 - 8. Let l(a) = a**2 + 3. Suppose 0 = -9*j - 5 + 230. Suppose -7 = 6*g - j. Let b = 4 + 4. Give b*l(y) + g*q(y).\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 6 - ((-5 - 1) + 8 + -2)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 + 3811*m**2 + 41802*m + 27. What is o(-11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2175\/(-580)*(-1*1)\/((-140)\/7).\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 403229545?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, k: 5, u: 1, t: 1, y: 1}. Give prob of picking 1 y and 1 q.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a kilometer in meters?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*v - 180689 - 511798. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*d**2 + 5 + 0*d**4 + d**4 - 2*d**4 - 2*d**2 in the form z*d + j*d**3 + y*d**2 + u + x*d**4 and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -324859 or -2598875\/8?\nAnswer: -2598875\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 186*n + 1001*n - 954 + 146*n + 954.\nAnswer: 1333*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {a: 3, r: 13}?\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -195 = -12*z - 3*z. Suppose j = z - 9. Suppose b - j*g - 60 = -g, 3*g = 4*b - 195. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 113023003 (base 4) in base 8?\nAnswer: 271303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 AM and 10:41 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 749430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -3\/2618759?\nAnswer: -3\/2618759","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.272, -3, 135, 2\/5, -1, 0.02 in ascending order.\nAnswer: -3, -1, -0.272, 0.02, 2\/5, 135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 913 - -12749?\nAnswer: 13460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 PM and 1:06 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 26855 - 44180 = -4*p, -3*g - 5*p = -42621. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 + -2 + 1)\/3. Suppose y*z - 46 = -2*z. What is the remainder when z is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 9:59 AM?\nAnswer: 2:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -58\/91 > 6729.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 123065 - 123065.000145753. Round f to 6 decimal places.\nAnswer: -0.000146","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1*-3)\/(-7 - -8). What is the tens digit of 0 - 40*(-3 + (d - -5))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-2\/7)\/w)**4*w*w\/w**8*w\/((w\/(w\/((w\/w**(-1\/3))\/w)))\/w))**(-21) assuming w is positive.\nAnswer: w**199","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 + 3*r - 546. Is t(-45) a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43218 - 5*m**2 + 43226 + 187*m**3 - 23*m**2.\nAnswer: 187*m**3 - 28*m**2 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of j**4\/4 + j**3\/3 + 6*j - 1. Suppose 3*q - 9*k + 8 = -5*k, 10 = 3*q + 5*k. What is z(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -30579*j**4 + 2*j**3 - 113*j**2 - 20395384 wrt j.\nAnswer: -122316*j**3 + 6*j**2 - 226*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 77 + -76.9. Suppose 4*g = 2*h + 98, 5*g - 167 - 53 = 5*h. Let r be 2\/6 - (-7)\/h. What is the closest to k in -5, r, -0.3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 a factor of 20100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d = 5*n - 6*d - 1160, 928 = 4*n + 5*d. Calculate the greatest common divisor of n and 1102.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10.3494 * -46\nAnswer: -476.0724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*p - 9*p + 4*p + 48*p.\nAnswer: 91*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 525*y + 3959*y + 416*y + 1.\nAnswer: 3850*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*p + 892 + 0*p - 882)*(-1 - 3 + 5).\nAnswer: 8*p + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 j, and 1 v when three letters picked without replacement from {p: 1, j: 11, o: 4, v: 3}?\nAnswer: 11\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -2*i + 1. Let o(v) = 2*v - 1. Let s(z) = -2*c(z) - 3*o(z). What is the remainder when s(-3) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 4 = 4*j. What is the common denominator of -71\/132 and 595\/42*j - -4?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*q + 1710*q**2 + 8*q - 1714*q**2 as l + y*q + p*q**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/((g*g**(-1\/5))\/g))\/g)\/g**(3\/2) assuming g is positive.\nAnswer: g**(-3\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -2*n**2 - 4*n + 7. Let z(a) = -a**2 - 2*a + 4. What is 2*q(s) - 5*z(s)?\nAnswer: s**2 + 2*s - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)\/(sqrt(11) - (sqrt(11) + sqrt(99))))\/(-4*sqrt(36)).\nAnswer: sqrt(2)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + -1. Let z be (3 + -2)*g\/(-4). Let v = 0.02 - -2.98. Which is the smallest value? (a) z (b) v (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1332024 + -110?\nAnswer: -1332134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 19235.86 meters in centimeters?\nAnswer: 1923586","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*s + 2*s + 28. Let b(o) = o**2 - 8*o + 10. What is the lowest common multiple of 5 and b(s)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*i - 5*y = 90*i + 76, -2*i + 44 = -3*y for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3 (b) 57 (c) -2\/5 (d) 0.3 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 AM and 5:42 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 232862 and 4.\nAnswer: 465724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-57)\/(-12) - (-4 - (-60)\/16). Suppose s = -s + 3*m + 16, 5*s + 3*m - 19 = 0. Suppose -r - 12 = -s*r. Solve o*q = -7 - r for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12695.000030182 - -12695. What is i rounded to 5 decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -2977.\nAnswer: 1\/2977","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14310344 - -10?\nAnswer: -14310334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 1194299381 = 1194299380?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.1 and -0.31?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7 - (-2 - (7 - 20)). Let q = 2 - 2. Sort q, -3, l in descending order.\nAnswer: q, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**6*g*g**(-1\/7))\/(g**(-2\/11)\/(g\/(g*g**0)))*(g**(-2)\/g)\/g*((g*g**(4\/7))\/g)\/g*g**(-1\/4)\/g*g*g\/g**0 assuming g is positive.\nAnswer: g**(1035\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 - (452 + -438 - (2 - 20)).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -10105614 (base 8) to base 10\nAnswer: -2132876","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2015196 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 4 = -1669850*s + 1669849*s, -5*s - 2*i = 36 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-16)\/(-24))\/((-8)\/(-324)). Let a(u) = u. Let k(l) = 45*l. What is g*a(j) - k(j)?\nAnswer: -18*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1700)*4 + -3 - (-1 + sqrt(1700))*6)*-6*-5*-6.\nAnswer: -540 + 3600*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -41*b - 37. Let h be u(-3). Let y be h\/4 + 18\/12. What is the highest common factor of 368 and y?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 610 and 107482.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {t: 9, a: 1, d: 9}.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 16.2 or -2125650?\nAnswer: 16.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffffjfjfjfeffe. Give prob of picking 2 f.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 36827 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -11066 - 2?\nAnswer: -11068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of 611*a**4\/12 - 27*a**3 - 198*a. Find the second derivative of j(f) wrt f.\nAnswer: 1222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104*w - 96*w + 2 - 700*w + 884*w.\nAnswer: -16*w + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, k: 7}. What is prob of picking 1 k and 1 h?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -15*y**5 + 366*y**4 - 2724*y**3 + 3912*y**2 + 18048*y - 7680 = 0.\nAnswer: -2, 2\/5, 8, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(5040) + sqrt(5040) - sqrt(5040)) + sqrt(35) + 1*sqrt(140))\/(1*1*sqrt(5) + sqrt(40)\/sqrt(72)))**2.\nAnswer: 5103\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 134795349 divided by -1\nAnswer: -134795349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 2 = -8. Let x(j) = j - 4*j + 4*j - o*j. Let m(f) = -f. Give m(x(i)).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 145 and 129 + 26 + (-10 + 5)*2.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*x**3 - 375*x**2 - 192*x + 189.\nAnswer: 3*(x - 63)*(x + 1)*(2*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -81 + 121. Let b = -0.0667938217 - -40.0667949817. Let m = b - k. Round m to 7 decimal places.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 247 a factor of 10297737?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -260*n**2 + 13*n - 13. Let p(w) = -41*w**2 + 2*w - 2. Let a(z) = 4*l(z) - 26*p(z). Let j(g) = 143*g. Calculate a(j(c)).\nAnswer: 531674*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.439 + 0.139. Put 0, 2.4, h in ascending order.\nAnswer: h, 0, 2.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 + -30. Let u = 50 + p. Let b(o) = 6*o - 31. Let g be b(11). What is the highest common divisor of u and g?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o - 2*o + 6*o)*(10*o**2 - 5*o**2 + 28*o**2 + 3*o**3).\nAnswer: 12*o**4 + 132*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + (-31 + 0 - (500 + -513)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 591 is divided by ((147\/14)\/(-21))\/(((-6)\/3)\/104).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 723 = 3*l + 2*q, 5*l + 3*q - 1201 = 0. Let v = l - 171. Calculate the remainder when v is divided by 35.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1786277 * 117.\nAnswer: 208994409","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -10*a + 4. Let w(f) = 9*f - 3. Let r(u) = 3*c(u) + 4*w(u). Let t be (-12)\/(-15) - (-1)\/5. Let p(v) = -1 - v + t. Determine r(p(b)).\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + 5 + 49 - (-7 + 7 - 0)) + 7.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -298 in -3, 5.9, 1\/4, 7\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 706.1 + -1049.62. Let d = -306.5248 - h. Let v = -37 + d. Round v to three dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*z + 456*z - 104769 = -476*z - 32144 for z.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 29\/(52\/(-364)*(-7)\/1)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2.52*0.3\nAnswer: 0.756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -5*o + 6. Let j(r) = -r + r**3 - r**2 - r - 2*r**3 + r - o. Let w(t) = -21*t**3 - 21*t**2 - 18*t - 18. Let l(q) = -18*j(q) + w(q). Factor l(p).\nAnswer: -3*p**2*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + k + 27 = 0, 2*i + 31 = 11*k - 8*k. What is the hundreds digit of 3 + (-13)\/4 + (-3690)\/i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-2*5\/50)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 841 + -13d?\nAnswer: 703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide (-4773)\/(-13) + (192\/(-208))\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 133044 (base 5) in base 11?\nAnswer: 4069","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 29*v - 1. Let x(k) = -158*k - 345. Determine -5*i(b) - x(b).\nAnswer: 13*b + 350","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 265245950?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -j**3\/4 - 2231*j**2\/2 - 13379*j\/4 - 4459\/2 = 0. Calculate j.\nAnswer: -4459, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2052746 by -37.\nAnswer: 2052746\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 585 divide 32723145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 - 7. Suppose 0 = 5*o - 0*o - q - 9, 3*o = q + k. Suppose -5 = d + 4*u, -4*d - o*u + u = -10. Solve j - 1 = d*a - a, 3*j + 12 = a for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22\/539*133)\/((-3)\/(-27) + (-156)\/756)?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 29 by -12743094.\nAnswer: -29\/12743094","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -843 = -35*l - 738 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2469 + -14779\/6. Find the common denominator of (-474)\/54*(-72)\/32 and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -1757*x. Let t(s) = 6*s**2. Calculate b(t(y)).\nAnswer: -10542*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 868 + 21044?\nAnswer: 218ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 28 - 9 = -5*n, -27 = -3*n + 3*f. Solve n*r + 13 - 4 = b, 5*b + r = 19 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 5, 0, -51, -24, 2, 16 in ascending order.\nAnswer: -51, -24, -6, 0, 2, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(2) + 5 + 3 + sqrt(50) + sqrt(2))*-4)**2.\nAnswer: 2240*sqrt(2) + 3168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 60073 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*f + 135\/4*f**5 + 0 + 905\/4*f**3 - 165*f**4 - 110*f**2 = 0. What is f?\nAnswer: 0, 2\/9, 2\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2\/39, 1\/4, -2\/5, 1, -236?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17354 is divided by 115?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-680437)\/(-4) - (-642)\/856. What is s rounded to the nearest 10000?\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 5*m - 398, 324 = 4*m + 6*i - 3*i. List the prime factors of m.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 93 + -69. Solve 12 = 3*a, -v - v = 4*a - q for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*(4 + (-344)\/84)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 344059, 344072, 344093, 344122, 344159?\nAnswer: 344204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -8*n. Suppose -4 = t - 5*t. Let z be 6\/(72\/(-10)) + t\/(-6). Calculate y(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10137*g**3 + 5*g**2 - 338204*g?\nAnswer: 60822*g + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 860927845.\nAnswer: 5, 3307, 52067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 - 8*o**2 - 20*o + 2. Let c(b) = -b**2 - 7*b + 114. Let u be c(8). List the prime factors of w(u).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10673\/2 or 5336?\nAnswer: 5336","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -86.21+3\nAnswer: -83.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 - 38*s**2 + 39*s - 55. Let d be t(37). Find the second derivative of -9 + 21*f + 8 - d*f - 35 + 3*f**4 wrt f.\nAnswer: 36*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**0)\/h**(2\/19)*(h\/(h**(2\/5)*h))**(-10\/11) assuming h is positive.\nAnswer: h**(263\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 15013127 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3686 and 98.009.\nAnswer: -361261.174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29\/(-522)*-12 - 58\/24?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40\/35 + (2136750\/539)\/75?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - (-8)\/9)\/1. Let x = 8499 + -8498.9. Let y = -6 - -8. Which is the closest to x? (a) q (b) 1\/4 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 5*l. Let a(x) = 2*x**2 + 12*x + 4. Let m be a(-6). Solve 7 = 2*q - v - 5, m*q + 4*v - 12 = l for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zkh when three letters picked without replacement from pnhzknp?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 14510 to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 26 + 45. Calculate the remainder when c is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 232086467 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2442724 (b) 2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 5*b + 32 + 51, 2 = -2*b. Suppose l + 3*u = -l + 4, -u = -5*l + i. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -14112193*v. Let d(x) = 4*x**2. Determine o(d(k)).\nAnswer: -56448772*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12\/(-6)*1\/2. Let k be ((-1126)\/68)\/(2\/4). Let y = 33 + k. Is q at most y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**2 - 8*x + 12. Let s = -27 - -68. Let j = 36 - s. What is the remainder when 107 is divided by c(j)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of -n**7\/168 - 13*n**6\/20 - 1071*n**5\/40 - 441*n**4 + 9261*n**3\/8 + 583443*n**2\/4 - 331*n + 4. Factor p(q).\nAnswer: -(q - 6)*(q + 21)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -123.06 - -122. Let h = -0.06 - r. Which is the closest to h? (a) 0.4 (b) 0.1 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*z + 340 = 74*z. Suppose -2*l = z*l - 23148. What are the prime factors of l?\nAnswer: 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -75*u**2 - 4071*u + 2848. Determine m(-55).\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0029521 to four decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -948, -944, -930, -900, -848?\nAnswer: -768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 93548 to the power of 1\/3, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 + 6*v - 3. Let u(q) = 3*q**2 + 17*q - 8. Give -11*r(p) + 4*u(p).\nAnswer: p**2 + 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2137, -8680, -19623, -34966, -54709, -78852?\nAnswer: -107395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**2\/15 + 1828*b\/15 - 2448\/5 = 0. What is b?\nAnswer: -918, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of -11*i**6\/120 - 7*i**4\/24 - 4*i**2. Find the second derivative of g(m) wrt m.\nAnswer: -66*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 3. Let i = 7 + -5. Suppose 8*g + 4 = 12. What is the closest to 2\/3 in i, n, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5519030 to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 91*j - 2 = -93*j, 0 = -2*t + 4*j + 12 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2\/23 (b) -5 (c) 0.03 (d) 1\/41\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11\/22 + 129\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10779.8 rounded to the nearest one hundred?\nAnswer: -10800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = l - 4. Let j = 72 + l. What are the prime factors of j?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.5 + -0.50472427459.\nAnswer: -5.00472427459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = q + 12, 0 = -p + 12*q - 13*q + 16. Solve -2*i + p = 22 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 3*i**2 + 3*i + 3. Suppose 0 = -j + 5*k + 18, k + 1 - 5 = 4*j. Calculate g(j).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*j**3 - 3*j**3 - 3*j**3)*(-3*j**2 + j**2 + 0*j**2) - 52*j**5 + 97*j**5 - 51*j**5 - 4*j.\nAnswer: -4*j**5 - 4*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a century in decades?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + 3 + 3 + -3. Factor -4*o**4 + f*o**5 - 4*o**5 + 4*o**5 + 2*o**3.\nAnswer: 2*o**3*(o - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 326 + 326 = 0. Put 6, 2, s in increasing order.\nAnswer: s, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 5*x + 1 = 16, 0 = -3*a - 3*x + 21. Solve -a*i = -0*i + 15 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -125, -257, -389?\n\"Answer: -132*n + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -167\/12 + 1205\/84. Let p = 14\/9 + -4\/3. What is the closest to p in 5, q, 4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-374)\/357*-14 + 2*(-4)\/(-24)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 33647 - -14?\nAnswer: 33663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73682?\nAnswer: 2, 7, 19, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3631\/85 - -213\/5. Suppose l + 484 = 6*l + 3*x, 5*l - 466 = 3*x. Let z = l - 87. What is the second biggest value in g, 2, z?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4 or 370840?\nAnswer: 370840","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 AM and 1:17 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7390907 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(68)*-1)\/sqrt(4) - sqrt(17)*2*6)**2 - ((sqrt(17) - (sqrt(17) + sqrt(34)\/sqrt(2))*4)**2 + (2 + sqrt(17) + 1*sqrt(17) + sqrt(17))**2)) + 4.\nAnswer: -12*sqrt(17) + 1887","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 32116220?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (2 - -7 - 26)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -98.529 plus 232.2666059?\nAnswer: 133.7376059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 6*a. Calculate the remainder when 6 is divided by a + -4*(-3 + 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -47607 - 1?\nAnswer: -47608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 49856 - 32441. Let z = -383051\/22 + i. Find the common denominator of z and -43\/108.\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -683352\/4739 or -144?\nAnswer: -144","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*h - 43507 = -0*h + 57*q - 43792, -h - 2*h = -4*h - 2*q + 17 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f. Let k(g) = 3*g - 10. Let c be k(-7). Let y = c - -47. Calculate the remainder when y is divided by j(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 - a**2 - a - 22. Let t be x(0). Let d = -15 - t. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 23\/3 of a millennium?\nAnswer: 92000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wyywwhhwwww. What is prob of picking 2 h and 1 w?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7297508l to millilitres.\nAnswer: 729.7508","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 minus 308780351?\nAnswer: -308780350.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of 2*z**7\/21 + z**6\/15 - z**5 + 2*z**4\/3 + 8*z**3\/3 + 7*z**2. Let c(k) = 0. What is k?\nAnswer: -2, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-125)\/(4875\/78))\/((-2)\/(-6) - 1). Solve 3 = i*m + t, -m + 6*m + 11 = t for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18\/13 - -77\/65. Let v = 3\/10 - j. Sort -4, -0.4, v in decreasing order.\nAnswer: v, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 96*c**2 - 176*c**2 + 95*c**2 + 18*c**5 wrt c.\nAnswer: 1080*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 5*i - 3*i + 0 - 2. Let a = -5 - -5. Suppose a = 4*h - h + 9. Calculate v(h).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.3 (b) -19 (c) -3 (d) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 6 - 3)*((-9 + 0 + 3)*(2*q - q - 2*q) - 3*q + 6*q - q).\nAnswer: 8*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1872, 0, 4 in ascending order.\nAnswer: 0, 4, 1872","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22 and 8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7739824 is divided by 2541.\nAnswer: 2479","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2561 (base 8) in base 4?\nAnswer: 111301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 + 8*k**2 + 18*k + 21. Let s(d) = d**2 - 9*d - 12. Let x be s(11). Let b be y(x). Solve -3*t - 13 = -3*a - b, -2*a = -4*t - 16 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -103.09486 to one decimal place.\nAnswer: -103.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 29*u**3 - 29*u**3 + 6*u**4 + (0 - 3 + 2)*(4*u**3 - 2*u**4 - 3*u**4 + 3*u**4) in the form i*u**4 + r*u**2 + g*u**3 + n + y*u and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 15 = -5*a + 5*w, 33 = -4*a + 5*w for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8584726?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fz when two letters picked without replacement from sfzsfof?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10100111101000000011110000010 - 10?\nAnswer: 10100111101000000011110000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 161*u + 4. Is c(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-5)\/((-45)\/7137) - (-1)\/(-1).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6584?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, t: 1, i: 1, b: 1, h: 2}. Give prob of sequence hb.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 7 - (-17 + -6 - -30)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, e: 1, n: 3, k: 1, y: 1, h: 9}. What is prob of sequence yy?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*j**6 - 843762*j**5 + j**2 + 6224826*j.\nAnswer: -720*j**3 - 50625720*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -24477*g + 244792. What is f(10)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -40285*f*s**4 + f*s**3 - f*s + s + 5983057 wrt s.\nAnswer: -483420*f*s**2 + 6*f*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 70\/8 - (-1017)\/452. Solve -4*y = -19 + j for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 11 - (-23)\/(-3) - -4.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x**4*x*x\/x**(-3)*(x*x*x*x*x*x\/(x\/x**5))**12 assuming x is positive.\nAnswer: x**130","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffffffffffdff. What is prob of picking 3 f and 1 d?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/(d\/d**(-3\/31)*d)*d**(5\/2)*d\/(d*d*d**24*d)*d*d\/(d**(9\/7)\/d)*d assuming d is positive.\nAnswer: d**(-9497\/434)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3053*f - 3073*f + 100 = 0. Solve -x + m = 0, 3*x = f*x + m for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00016415 rounded to five dps?\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 31075 and 55.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-10))\/(((-144)\/60)\/6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45 divided by -45.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 4*d = 22, 0*y = 4*y + 2*d - 16. Let r be (1 - 3) + (-255)\/(-210) - (-444)\/296. What is z in -r*z + 0 + 1\/7*z**y = 0?\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.963 - 33908.8988.\nAnswer: -33906.9358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 - 204*t**2 - 897*t + 19403. Give q(-199).\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11 by 146.\nAnswer: 11\/146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 66935430 to the power of 1\/3, to the nearest integer?\nAnswer: 406","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18 - 15. What is the closest to -1 in -4, 6, v?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - -1177?\nAnswer: 1172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5651?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 50 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 + 7*d**2 + 7*d**2 + 1.\nAnswer: 14*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -187, 2\/3, -2\/3, 20, 0.5, 9, -3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(40\/(-15) - -3). What is the second derivative of 51*f**3 + 100*f - 71*f**p + 48*f**3 - 13*f wrt f?\nAnswer: 168*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + h = -30. Let s = 16 + h. What is the least common multiple of 10 and s?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n + 2*n + n**2 + 5*n)*(-4*n**3 + 0*n**3 + 6*n**3).\nAnswer: 2*n**5 + 6*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 11*v**3 + 28*v**2 + 10*v + 180. Let x(h) = -7*h**3 - 19*h**2 - 7*h - 119. Let i(p) = 5*m(p) + 8*x(p). Calculate i(-12).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5627912734 to the nearest integer?\nAnswer: 1779","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(-18)*-5 - 2. Let u be (15\/(-27))\/((-28)\/(-66)). Let i = k - u. What is the nearest to 0 in i, 2, 3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = z - 9. Suppose 5*y = 8 - z. Calculate the lowest common multiple of 1 and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4761.97 from 466.4.\nAnswer: -4295.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3\/11 + 1054*k**2\/11 - 275609*k\/11 - 1119364\/11.\nAnswer: -(k - 529)**2*(k + 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/4 + (-93)\/(-6). Let p = -3018 + 15092\/5. What is the second smallest value in s, p, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 b when three letters picked without replacement from booroob?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-156)\/(-104)*(-4)\/2. Let w(t) = -5*t. Let v = -3 + 4. Let j be w(v). Sort k, j, 1 in increasing order.\nAnswer: j, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 + -5. Let r = 3 - f. What is the common denominator of r\/(-3) + (-69)\/18 and -23\/11?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -5*d - x + 2, 5*d = x + 19. Let w be (30\/(-4))\/(d\/(-8)). Let m = w + 34. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4\/13, 2\/17, 40.14, 0.3, 0, 4, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*v - 2*v - 24. Suppose v*d - 170 = d. List the prime factors of d.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2665 is divided by 862?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/5 of a kilometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -43480 + 5913309\/136. What is the common denominator of 23\/5508 and k?\nAnswer: 11016","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -99 + 139. Suppose m + 10 = 5*v. Solve -3*w = 2*w - v for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 46\/147 and 43\/21252?\nAnswer: 148764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 0, 167, -4, -1 in decreasing order.\nAnswer: 167, 0, -1, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -4\/3 (b) 9 (c) -0.4 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 - b**2 + 69*b + 529. Determine n(-11).\nAnswer: 980","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 47 and 423.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 + v + 2. Let y be s(3). Suppose -3 = -3*l, -5*k + 2*l - 4 + 2 = 0. Suppose k*j = j - y. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1885006 to the power of 1\/3, to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11010623 divided by 19697.\nAnswer: -559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 1109 - 3421 = 0. Is (4 - 1)\/(6\/(-4 + c)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - -2 - 1)\/(24 - 26). Let d(s) = 5*s + 14. Let p be d(t). Solve -2*v - 4 = -5*q - 1, 3*v + p = -2*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 35143323 + 540?\nAnswer: 35144303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + a776105?\nAnswer: a776101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (6*sqrt(68)\/sqrt(4) + sqrt(17) - sqrt(17))*5 + (-3 + -1*sqrt(1088) + 2)**2.\nAnswer: 46*sqrt(17) + 1093","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 80036867?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n - 5 + 5)*(0*n + 2*n + 0*n) - 33*n**2 - 31*n**2 - 3*n + 59*n**2.\nAnswer: -7*n**2 - 3*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 244 is divided by 119.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 + 9*n**2 + 2*n - 38. Give y(9).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 8 = 3*p, 5*p - 15870 = -4*n. Let v = n + -2638. List the prime factors of v.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23054 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of o**4\/12 + 13*o**3\/3 + 48*o**2 - 2*o + 49. Let f be l(-4). Solve 3*z - y = 7, -3*z - y + f = -z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32507764?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -91 + 91 - 387*q - 677*q as l*q + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2971508140.\nAnswer: 2, 5, 2417, 61471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*s + 3 + 17*s - 3.\nAnswer: 13*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -765040, -3060131, -6885270, -12240457, -19125692?\n\"Answer: -765024*i**2 - 19*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1997 is divided by 39.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*m*o**2*q**3 - m*o**2 + m*o*q**3 - m*o*q**2 - 148*m*o - o**2*q**2 + 170*o*q**3 wrt q?\nAnswer: -12*m*o**2 + 6*m*o + 1020*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -10*r - 11. Let b be h(14). Let v = b + 19. Let f = -15 - v. Is f a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.096 and 98.2764?\nAnswer: -9.4345344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k - 3*k - 2*k)*(2*k - 3*k + 0*k)*(2 - 5 - 3) + (-k - 2*k + k)*(-k + 2 - 2).\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -1, -12, 2\/9, -3253 in decreasing order.\nAnswer: 2\/9, -0.2, -1, -12, -3253","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102 + -1100000001100?\nAnswer: -1100000001202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in thirty-one halves of a hour?\nAnswer: 55800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + 212?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -2\/23, -68885, -1\/6, -2?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = 5*j - 55 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*z + 1401*z**2 - 118*z**2 + 29*z + 49*z**2 - z.\nAnswer: 1332*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 139463 is divided by 274?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y + 3*y - 2*y + 7*y.\nAnswer: 5*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2 - m - 6. Let r be d(6). Let x(z) = z**3 - 2*z + 2. Let h be x(2). What is the greatest common factor of h and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2968?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -4*r + 27 + 34, r - z - 14 = 0. Calculate the greatest common divisor of 243 and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 945406 is divided by 367.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5108 and 13988258.\nAnswer: 2554","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 5*v**2 + 2187230*v + 239198753645 = 0?\nAnswer: -218723","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 3*q + 15 = 0, -d + 0*q + q = -1 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(405) - (sqrt(405) - (-3*sqrt(405) - sqrt(405)))) + -2 + sqrt(405))*-2)**2*-2.\nAnswer: -467072 - 13824*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 6620*t**3 + 6 + 6645*t**3 + 62*t**2.\nAnswer: 25*t**3 + 62*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 173147 is divided by 50?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 2*n - 64 = -6*v, 3*v - 58 = -n. Let s(j) = j + 0*j - 4*j + 13 + j**2 - 6*j. Calculate the remainder when s(11) is divided by v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 369, -2, 0 in decreasing order.\nAnswer: 369, 3, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (4 + -2)) + 7 + -9.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 4*v**3 + 359*v**2 - 89*v + 64. What is j(-90)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4.2 (b) -30 (c) -0.0724 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 AM and 2:51 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6417897.\nAnswer: 3, 23, 47, 1979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i - 3. Suppose 2*l - 3*a + 6 = 2*a, 3*a = 2*l + 6. Let o be d(l). Solve -5*b + 41 = 4*n, o*b - 3*n + 37 = 5*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 735748.\nAnswer: 2, 13, 14149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1858?\nAnswer: 2, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2 + c + 43. Calculate the remainder when k(0) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 368\/230*(-175)\/10?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95*k + 3422 = -1328. What is the greatest common divisor of 3590 and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3654777.\nAnswer: 3, 7, 79, 2203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m**5\/3 + 16*m**4\/3 + 38*m**3\/3 + 8*m**2 = 0. Calculate m.\nAnswer: -4, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1111122 (base 5) to base 6\nAnswer: 230241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u**2 + 95*u - 96 = 0. Calculate u.\nAnswer: -96, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = -5*j - 27, -2*j = 2*u + 12 - 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -3485?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -182889 by -60.\nAnswer: 60963\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -68.3073253 to zero dps.\nAnswer: -68","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -145 - -213. Let r = -572 + 648. Let f = r - s. What is the highest common divisor of 64 and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3*((-14)\/(-35) + 8\/(-18)). What is the third smallest value in q, -0.1, 0, -8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of -z**8\/23520 - z**7\/2940 - z**6\/840 - z**5\/420 + z**4\/6 + 2*z**2. Let l(d) be the second derivative of i(d). Factor l(w).\nAnswer: -2*(w + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 196 - 144. What is the remainder when a is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0651308 minus -971?\nAnswer: 970.9348692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 264, 532, 790, 1032, 1252, 1444?\n\"Answer: -l**3 + l**2 + 272*l - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 120 = 11*m + 3*m, 0 = 5*m - 4*u + 24 - 57 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-379 + 41*m**2 + 379)*(18 - 18 + 10*m**3 + m**3 + m**2 - m**2 + (6*m - 3*m - m)*(2*m - 2*m + m**2) + 2*m**3 - m**2 + m**2).\nAnswer: 615*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of -z**2\/2 + 1. Let j(u) = -5*u**2 + u**2 + u**2. What is r(j(v))?\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 60 + -34. What is the smallest common multiple of w and 12?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 19 - 5*k**2 - 37 + 4*k**2 + 2*k**2 as g*k + t + j*k**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17189 is divided by 17164.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v = -15 - 9 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21 or 2888959?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 7*z + 72 = 0. What is the smallest common multiple of z and 28?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.12 + 0.22. Let u = 0.61 - 0.01. Let j(h) = -h**3 + 6*h**2 + 2*h - 7. Let x be j(6). What is the closest to o in -4, x, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 37289655989.69 + 0.4\nAnswer: 37289655990.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5598336 + -1381664. Round s to the nearest one hundred thousand.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -7.089 and -10754461.\nAnswer: -10754468.089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-264)\/(-26) + 14\/(-91). Solve -2*l - r - h = 0, -3 = 4*l - 4*r - 7 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5)\/(42\/24 + -3). Suppose -2*c = -2*v - 2, -3*v - 5*c - 7 = -4*v. Let t = -94 - -99. Sort t, v, s in ascending order.\nAnswer: v, s, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26824?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1, -35, -139, -347, -695, -1219?\n\"Answer: -6*z**3 + 2*z**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - 6. Let g = -54 - -27. Let d be 1 - (g\/(-10))\/3. Put d, 2\/3, c in descending order.\nAnswer: 2\/3, d, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21 (base 3) to base 4.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2212 (base 4) in base 8?\nAnswer: -246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1\/4))**(-36))**13 assuming b is positive.\nAnswer: b**117","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of q**3\/2 + 3*q**2 + 5*q. Let h be x(6). Suppose -4*i + 8 = -h. Is 2 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 8.28184.\nAnswer: 4.14092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (2 + -6 + 2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 5*o**2 - 3*o + 3. Let m be b(2). Let y be m\/20 + 2\/(-8). What is the smallest value in y, -4, 3\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000831651 rounded to six dps?\nAnswer: 0.000083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-5) + 410\/(-25). Suppose 3*i = 15, i - 21 = -0*h + h. Let b = h - z. Solve b*w + 9 = 3*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14 in -1, -5\/2, -1\/3?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 14) to base 10.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvuvllovlollljoolvo. Give prob of picking 2 l and 1 o.\nAnswer: 35\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) 4 (c) 1\/5 (d) -1 (e) -0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 65049?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 3*x + 165 = 0, 14*h - 10*h = -5*x - 626. Is 2\/3 at least h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.06*0.035.\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -361.5 or 0?\nAnswer: -361.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 324*o + 44278 = -1144*o - 235*o for o.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 127, 125, 123, 121, 119?\n\"Answer: -2*x + 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1478 + 2918. Suppose d = 3*r + 6*r. Does 20 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, n: 2}. Give prob of sequence nh.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**3\/2 - 10689*i**2\/2 + 4747224*i + 23869920.\nAnswer: 3*(i - 1784)**2*(i + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/5)\/(1080\/(-900))\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -135, -132, -868 in decreasing order.\nAnswer: -132, -135, -868","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -2*x - 32. Let a be j(-20). Suppose a + 5 = d. Suppose 0 = -d*s + 17*s - 2044. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2895313593 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19 + 23. Let h be (v - (-46)\/(-10))*-75. What is the highest common factor of h and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 437 - 435. Suppose 5*j + n + 5 = 4, -y*n = -4*j + 2. Solve -5*a + 3*r = -j*a - 12, -2*r = 3*a - 11 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(65)*2*2)\/(1*((-1*sqrt(320) - sqrt(320)) + sqrt(5))).\nAnswer: -4*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/(8\/6 - (-8)\/(-24)). Suppose u = 8*d - 498 - 38. Suppose 0 = -65*k + d*k - 300. Is k a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 170377 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 197397493?\nAnswer: 41, 53, 90841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 5*d - 44 = 0. Suppose -8*b - d + 124 = 0. Is 4 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.437 + -12.613. Let x = a - 0.65. Round x to 0 dps.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16*6\/12)\/((-8)\/(-4)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/8 and -15\/4606?\nAnswer: 18424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -x + 29. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 3*b**2 - 3*b - 578. Let x(y) = 2*y**2 - 2*y - 578. Let w(f) = 3*k(f) - 4*x(f). Let c be w(0). Let t = c - 395. Is 31 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + -b?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -150 (base 6) to base 4.\nAnswer: -1002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 b when two letters picked without replacement from nbynnnnbynnnbbnnyn.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5 and -2003.\nAnswer: -1998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-6)\/15)\/((-12)\/45))\/((-59)\/(249216\/1296))?\nAnswer: -44\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyyy when four letters picked without replacement from {y: 8, u: 4, e: 5}.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1748 and 228.\nAnswer: 5244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 146197298 and 247.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a gram in micrograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1476)\/(-36) + 8 + 4. Solve -2*s - 6 = 0, l = 2*x + s + 52 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16571 and 454.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11584 and 15928?\nAnswer: 127424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 12 - 2)*(t + 3*t - 5*t)*(-2 + 4 - 1) - 1 + 1 + 3*t.\nAnswer: 17*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4611 is divided by 65?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**2\/8 - 2803191*v\/8 + 700797\/2.\nAnswer: 3*(v - 934396)*(v - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 AM and 4:26 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.2 or -4463272?\nAnswer: -4463272","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u, 1 p, and 1 a when four letters picked without replacement from uyuucupuppcapupu.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(8)*-5)\/(sqrt(20)\/(sqrt(35)\/sqrt(7))) + 3*(sqrt(162) + ((sqrt(162) + (sqrt(162) - (sqrt(162) + -2))*-6)**2 - sqrt(162))) + -4.\nAnswer: -668*sqrt(2) + 914","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3215 - -3213. Sort g, -7, -1, 34, 0 in increasing order.\nAnswer: -7, g, -1, 0, 34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*y - 4*f, 12 = 5*y + f + f. Let h = y + 25. List the prime factors of h.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -4*j + 7. Let z(f) = -4*f + 7. Let q(u) = -5*y(u) + 4*z(u). Is q(10) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*1.84.\nAnswer: -0.184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 5 + 3 + -11 - -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -295cc863 + -5?\nAnswer: -295cc868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 78 - 45. Let j be (-5)\/(-25) + (-822)\/(-15). Let v = j - a. What are the prime factors of v?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((-5 + (-3 + sqrt(1539) - sqrt(1539)))*2)**2 + 2).\nAnswer: -1548","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 244 divided by -10498.\nAnswer: -122\/5249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 245614665 a multiple of 863?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1009836 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -79357 by -3328.\nAnswer: 79357\/3328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*z + 2*i - 10, -i + 2 = 5*z - 3 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2724\/80 + -34 + 2495\/100.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -41*d**2 + 337*d - 245. Calculate q(7).\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 20899 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 44*17*37\/(-2516)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = -g + 250268 - 250219, 2*g = -q + 98 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -a - 142, 0*a - 256 = -4*r - 5*a. What is the highest common factor of r and 253?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rqwwrpwoppqiqwwwrq. What is prob of sequence pirw?\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 1409*l - 40826. Calculate the remainder when (-1143)\/(-7) + 2\/(-7) is divided by t(29).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/2 + (-129)\/10. Let l be 356\/(-28) + (-115)\/(-161). Is l greater than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1303047 to the nearest integer?\nAnswer: 1142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -39*z**2. Let k(p) = 17*p - 2. Give n(k(x)).\nAnswer: -11271*x**2 + 2652*x - 156","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - x + 5. Let t(d) = 2*d**3 - 6*d**2 - 7*d - 5. Let r be t(x). Round r to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47847 = -68*r - 45807 for r.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12 in -0.1, 3, -1847, -97, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 199931 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -292682.5 and 93.\nAnswer: -27219472.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 - 9*n - 5. Let d(c) = -c**3 - 4*c**2 - c - 3. Let m be d(-3). Let w be b(m). Let j = 426 + -427. What is the closest to -0.2 in w, j, 3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 4) to base 12\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 5*m - 15. Suppose -4*b - 4 = 28. Let a be (3 + b)*2*2\/(-4). What is the highest common factor of m and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 - h**2. Let z be v(-1). Let j(x) = 0 - 7 + 6*x - x**2 + 3 + z. Calculate j(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -8*q**3 - 21*q - 5 - 5*q**3 + 14*q**3 + 11*q**2 - 18. What is the remainder when z(-12) is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*m + 0*m - 4*m)*(2 + 2 - 2) - 5*m - 3*m + 9317 - 9323.\nAnswer: -2*m - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2 - 6*q - 4. Let g be v(-4). Suppose 8 = 20*m - 72. Suppose -10 = -m*n + 6. Solve -n*f - g = -3*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (119\/20825)\/((10\/14)\/(-5))\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nocd when four letters picked without replacement from cddooxodddnnccndxc?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 148, 781, 1894, 3487?\nAnswer: 5560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t*t**44*t)\/t*t**41)\/((t\/t**(-15\/11))\/(t*t**45)))**(-2\/29) assuming t is positive.\nAnswer: t**(-2874\/319)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(4032) + sqrt(4032) + 1 + sqrt(4032) - sqrt(280)\/(sqrt(10) - sqrt(10)*-2)))**2.\nAnswer: 1712*sqrt(7)\/3 + 320716\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 4*u**2 + 4*u - 360. Let g be l(-11). Calculate the highest common divisor of 150 and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*z + 802*m = 799*m + 64, 3*m - 8 = 5*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (149*-1)\/(9 + (-1264)\/140). Suppose 7*y - 33852 = -s. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 + 2*j + 2. Let m(x) = -2*x**2 + 5*x + 9. Determine 4*c(n) - m(n).\nAnswer: -2*n**2 + 3*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 2826?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/63 + (4 - 0)\/28?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - -122223203?\nAnswer: 122223200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 290?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*a - 676 - 395. Let d be (0 + 2)*a\/6. Suppose -11*f + d*f - 4990 = 0. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + 4)*2\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 156788 + 10*l - l**3 + 63*l**2 - 4*l - 156788 to the form b*l + o*l**2 + a + t*l**3 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-704)\/4*(-2544)\/(-6996)\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -3*n. Let z be l(-1). Suppose -4*o + 53 = -7. Suppose -r - 4*g + 12 = 0, -r - 2 + o = 5*g. Solve 5*h + z = -s, -3*s = -h - r + 1 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 8*n - 12. Let k be u(1). Let x(h) = -13*h. Let l(w) = 6*w. What is k*x(m) - 9*l(m)?\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 379200 to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 27966585, 27966598, 27966611, 27966624, 27966637, 27966650?\n\"Answer: 13*r + 27966572","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -27 - -22. Put 4, c, -1\/7, 0.7 in ascending order.\nAnswer: c, -1\/7, 0.7, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -575 - -579. Suppose -f = 4*f + 5. Let v = m - f. What is the smallest common multiple of 1 and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (-21 + 0 - -45)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-5.32.\nAnswer: 1.596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 35*b - 292. Calculate g(8).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-10)*0\/1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*v = -55*v + 25 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/8*6\/9. Let z = 1416 - 1419. What is the closest to l in 5, -2\/5, z?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19 - 1808\/96) + (-85)\/60.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 15) in base 13?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 300664729.\nAnswer: 43, 503, 13901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * -6.9800122\nAnswer: -2.79200488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12867045489*k**2\/5 - 39928416*k + 154880.\nAnswer: (113433*k - 880)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 12:34 AM?\nAnswer: 3:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1319 - 1314. Solve -i*l - s = 21, -72 + 51 = l + 3*s for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -14*b - 2. Let v be m(-12). Suppose 3*c + v = 7. Which is bigger: -54 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 n, and 1 z when three letters picked without replacement from {z: 1, h: 3, s: 3, n: 1, y: 5, a: 2}?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -966 divided by 5\nAnswer: -966\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -3489319, -12, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*r - 498 = 370. Is 37 greater than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*(-4)\/(-36) - (-23)\/(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 114 + -119. Calculate the remainder when 25 is divided by -5 - p\/(25\/55).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.08654 - 338.\nAnswer: -338.08654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -2153881 > -2153876?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 880 by -4.\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.08 - -80.08. Let y = -76 + p. Let r = y + -3.8. Which is the second smallest value? (a) -1 (b) r (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 + 24*t + 96. Calculate j(23).\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 848 is divided by 424?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cgiwwm. Give prob of sequence iww.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -2*q**2 - 3. Let i(v) = -19*v**2 - 4*v + 15. Let p(g) = 32*g**2 + 7*g - 28. Let y(t) = 7*i(t) + 4*p(t). Give 14*w(u) - 6*y(u).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 245.17306 - 1670.\nAnswer: -1424.82694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 2*x + 1. Let g be o(2). Suppose 0*u = g*u - 255. What is the units digit of u\/9 + (-4)\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (77\/22 - 5)*-10 - 13. Factor -2*b - 1\/2*b**4 - 3*b**o + 5\/2*b**3 + 4.\nAnswer: -(b - 2)**3*(b + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 PM and 10:00 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (59 - 58)\/((-2)\/(-30554)*2\/10). What is l rounded to the nearest one thousand?\nAnswer: 76000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-14*u - 10*u + 10*u)*(u**2 - u**2 - 2*u**2) + 3*u**2 + 3*u**2 - 5*u**2 - u**3 to the form k*u**2 + w*u + l + s*u**3 and give s.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 + 14*s**2 + 2*s - 13. Let k be i(14). Let q be (-2 - 5\/(-3))\/(k\/9). Let t = 1 + -7. Which is the third biggest value? (a) -5 (b) q (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -9. Let c(p) = p**2 - 12*p. Let m be c(12). Suppose -4*o = -3*x - 2*o, m = 5*x - 2*o - 4. Calculate the least common multiple of n and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/4760960 and -109\/2906400.\nAnswer: 499900800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30532, 122133, 274796, 488521, 763308, 1099157?\nAnswer: 1496068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/5587999 or 0?\nAnswer: 1\/5587999","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 85698152, 171396306, 257094460, 342792614, 428490768?\nAnswer: 514188922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (32\/56)\/((-1)\/(-7)) + (-9 - -46). Solve -44*x = -f*x - 5*m - 13, 2*x + 4*m + 28 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/2)\/3*-1. Suppose 0 = -3*n + 6*n - 6. Let o be 710003 - l*6\/n. What is o rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 107 = 5*g, 182 + 90 = 22*g + n. Let c(s) = -5*s**2 - 8*s - 1. Let l be c(-6). Let r = 36 - l. Calculate the greatest common factor of g and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = 5*k + 25, -2*r + k - 156 = -150 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 322*b + 39. Let n(r) = 7*r**2. What is n(z(k))?\nAnswer: 725788*k**2 + 175812*k + 10647","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21 - 17. Let g be (-88)\/(-6)*3\/2. Suppose -18 = -j*i + g. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2 - 7*s - 6. Let q be f(-6). Let v = 49 - q. Calculate the greatest common divisor of 7 and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4019207?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10331*b - 10280*b = 0. Factor 0*t**3 + 3\/5*t**5 + 0*t**2 + 0 - 12\/5*t**4 + b*t.\nAnswer: 3*t**4*(t - 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -4*q + 14, -5*q + 14 = 4*w - 29. Suppose 2 = 2*z - 3*c - 1, 5*c = -4*z + w. Let v = z - 0. Solve m + 9 = -v*u, -2 - 1 = u - 5*m for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of -a**5\/30 + 13*a**4\/12 + 17*a**3 - 2*a**2 + 8*a. What is the first derivative of f(l) wrt l?\nAnswer: -4*l + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-8)\/(-6))\/(4\/6). Solve 14 = 4*d - b for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90921447.9 rounded to the nearest 1000?\nAnswer: 90921000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zsmjiszzjzaj. What is prob of sequence ija?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rf when two letters picked without replacement from {g: 9, v: 1, f: 2, r: 4, c: 1}.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -2*t**3 - 31*t**2 + 18*t + 35. Let x be c(-16). Suppose -x*a = 76 - 85. Calculate the greatest common divisor of a and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q**3 + q**3 - q**3 + q**3 + q**3 + q**3 + (0*q + q + q)*(3*q**2 - 2*q**2 + 2*q**2).\nAnswer: 11*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 452*c**2 - 441*c**2 + 0 - 8 - c**3 + 29*c. What is the units digit of q(13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o. Let n be 5*(-1 + (3 - 1)). Let f(w) = -3*w - w + 2*w + n*w. Calculate x(f(k)).\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, r: 1, h: 2, i: 1, s: 1, m: 2}. Give prob of picking 1 m and 1 i.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 3*v + 27 = -5*w, -4*w - 22 = -v. Suppose -v*a + 5*t - t = -24, 2*t = -4*a - 2. What is the derivative of 2*f**2 - f**a + 3 - 5 + 1 wrt f?\nAnswer: 2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2464.16 seconds in nanoseconds?\nAnswer: 2464160000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from elmlsrr. Give prob of picking 1 r and 1 e.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 - 31*o**2 + 32*o + 15. Let c be y(-32). Solve -5*k + 0 - c = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence phhm when four letters picked without replacement from ppsyppmyhyyhypp.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -243 - -178. Let c = -65.3 - i. Put -1, c, 3\/5 in decreasing order.\nAnswer: 3\/5, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11939957?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 - 5)\/(6\/(-315)). Let h = -14 + y. Suppose -o + 2*o = 13. Calculate the highest common factor of h and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*c - 4*w, 5*c = c + 3*w + 12. Suppose -m - 2*m = -c. Suppose d + 13 = b, -4*b - m*d + 53 = 13. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r - 16. Let i be d(10). Suppose 0 = i*h - 9*h - 5. Let y(b) = 2*b + 3. Let m(s) = -s - 1. What is h*y(j) - m(j)?\nAnswer: -j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, b: 7}. What is prob of sequence bbb?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2609*c = -2619*c - 100 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1564096 is divided by 45.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -83745*u**2 - 195544 wrt u.\nAnswer: -167490*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 24594\/15 + (-2)\/(-5). Suppose 0*u - 20 = -5*u - 5*l, -5*l - 30 = -5*u. Suppose -y + 150 = -u*b. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14406385 divided by 14.\nAnswer: -2058055\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 902933 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4\/5 (b) -1.2 (c) -4 (d) 44 (e) 9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 44463\/13 + -3423. Let o = -1\/650 + 1561\/650. Find the common denominator of o and q.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6643645 to the power of 1\/2, to the nearest integer?\nAnswer: 2578","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, s: 9}. What is prob of sequence ss?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*w**3 + 6 - 6.\nAnswer: 16*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1006110?\nAnswer: 2, 3, 5, 7, 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 180.232 hours in microseconds?\nAnswer: 648835200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 + 2*h**2 + 2*h - 1. Give l(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/3*0*(-9)\/81\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -31*a**5*w**2 - 5*a**4 + 3*a*w**2 + 30*w**2 - 2*w wrt a?\nAnswer: -620*a**3*w**2 - 60*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 + 11*b + 1. Let g be f(-10). Let k be (-84)\/(-16)*(-12)\/g. Solve -k = -r + m, 2*r - 4*m = -r + 26 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppp when three letters picked without replacement from {s: 5, a: 1, p: 14}?\nAnswer: 91\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/3351 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105*b = -127728 - 935082. List the prime factors of b.\nAnswer: 2, 3, 7, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -5*w - 7. Let y be q(-3). Suppose y*g - 3*g = 30. Suppose -g = -4*j + 42. Calculate the remainder when 46 is divided by j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(2*3\/4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (12 + 32 - 99)*(-v**3 - 6*v**3 - 4*v**3) as y*v**2 + f*v**3 + a + k*v and give f.\nAnswer: 605","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*d + 15*d - 36 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 - -14. Let y = z + -11. Suppose 0 = 3*n - 3*h - 3, 4*n - h = -5*h - 36. What is the closest to -1\/3 in -1\/6, y, n?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/3 and (6\/(-20))\/(11\/198).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(1\/3))**(-1\/7)*(o**(2\/5))**(-5))**(2\/83) assuming o is positive.\nAnswer: o**(-86\/1743)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/17 in -3, -0.223, -32, 0.5?\nAnswer: -0.223","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2706733 at least as big as 2706808?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/23, 0.3, 1\/7, -0.4 in decreasing order.\nAnswer: 0.3, 1\/7, -4\/23, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3026939 + 3026941.548658. Let y = j + -2.55. What is y rounded to 5 decimal places?\nAnswer: -0.00134","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 343300 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + -22003?\nAnswer: -21333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -3*v - 5. Let w = -8 - -3. Let o(y) = -31*y + 7. Let u(q) = 82*q - 20. Let t(i) = -8*o(i) - 3*u(i). Determine w*t(n) - 4*c(n).\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 = d - 5*b, 0 = 52*b - 50*b + 6. Calculate the remainder when 298 is divided by d.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 2*t - 10 = -2*h, h = 4*t + 2. Suppose 0*i + 2*i + 71 = -q, h*i + 363 = -5*q. Let k = q - -108. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1419115483 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1546 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 344 is divided by 35.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33505 is divided by 242?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -32*p**3 + 5*p**2 + 5*p - 1. Let t be (38\/(-7) - (-24)\/(-42)) + 4. What is the remainder when y(t) is divided by 21?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123932 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: Evaluate -2*5\/((-300)\/18).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 204 a factor of 134313447?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 - 3*y**2 + 3*y + 3. Give l(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a4b + 1b?\nAnswer: a6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z = -14*z - 192. Let d = z + 71. What are the prime factors of d?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 11 = -5*y - 4*v, -16 = -3*y - 5*v for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.1, -1\/6, -0.155, 49, 32.\nAnswer: -1\/6, -0.155, -0.1, 0, 32, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 7*g**2 - 7. Let k(z) = z**2 - 1. Let a(m) = 4*m**2 - 4. Let t(q) = 2*a(q) - 7*k(q). Give -r(h) + 6*t(h).\nAnswer: -h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-12)\/20 - 2*4\/20. Let d be 5\/(-3)*6\/(-52). Are y and d equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 r, and 1 o when three letters picked without replacement from {l: 1, n: 1, e: 2, r: 2, o: 1}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) - -3*(sqrt(68) - sqrt(68)*1 - sqrt(68)))\/sqrt(4))**2.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 33*q**3 + 575 - 575 + (q - q + 2*q)*(-q + q - q**2).\nAnswer: 31*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1488 + 1399.9. Let y = c + 92. Let q = y - 4. Which is greater: 8.4 or q?\nAnswer: 8.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of 0*u**4 - 14*u**2 + 0*u**3 + 13 + 0*u + 11\/5*u**5. Find the second derivative of p(q) wrt q.\nAnswer: 132*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -280, -278, -276, -274, -272, -270?\n\"Answer: 2*o - 282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 60 = -0*x + 4*x, 110 = 5*u + 2*x. Solve -365*a - 3*h - u = -363*a, 5*a + 4*h = -36 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -2*p**2. Let o(b) be the first derivative of -9*b**2\/2 - 1. Determine o(i(n)).\nAnswer: 18*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(1*sqrt(152)*-2)\/sqrt(8).\nAnswer: -4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 1218 divide 516893622?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (7\/(-14))\/((-2)\/12). Suppose 28*w = 22*w - 6. Put n, 2, w, 5 in ascending order.\nAnswer: w, 2, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 772.8635 years in centuries?\nAnswer: 7.728635","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0264569 + 0.1.\nAnswer: 0.0735431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 301 - 303 - (14 - -3)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3401 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 74?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/(-4))\/((-73)\/(-2190)). What is the highest common divisor of 39 and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 66 - (6 - (-7 + 16) - -8) - 10?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 16669901?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -6*-38\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 5) to base 16\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -74 - 124022*f**2 - 4691*f**3 + 7*f + 124023*f**2 + 228 wrt f.\nAnswer: -28146","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 3*g + 5. Calculate h(10).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000072979 to 7 dps.\nAnswer: -0.0000073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15896 or 15907?\nAnswer: 15896","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 118694659?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -4 + 76. Suppose 0 = -l + 2*o - 28, 2*o + 50 = -2*l + 3*o. Is l bigger than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 3*f - 256 = 0, 3*n + 0*f = 5*f + 163. Let p = -64 + n. Let v be 2 - (1 + 1 + p\/48). What is the third biggest value in v, 0.2, 0.4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aap when three letters picked without replacement from {x: 1, a: 2, p: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/11 (b) -1\/9 (c) 38\/3 (d) 0.13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 2) + 1430 + -1443.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1260*t - 1258*t = -i - 2, 0 = -11*i + 3*t + 28 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-902)\/66*(-1641)\/(-598). Let u = h + 1\/299. Calculate the common denominator of 11\/19 and u.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44816705.83 rounded to the nearest ten thousand?\nAnswer: 44820000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 - 1)\/1 + 107 + 1. What is the highest common factor of h and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 12:57 AM?\nAnswer: 11:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 5*c**3 + 5*c**2 - 115*c - 13. Give f(-6).\nAnswer: -223","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1392793 a multiple of 211?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 105.223 + 0.177. Let v = 105 - w. Sort -2\/9, v, -0.1, 6 in descending order.\nAnswer: 6, -0.1, -2\/9, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.519078 rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -0.051, -0.4, 0.5, 10\/7, 42?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 79, 185, 313, 475, 683, 949, 1285?\nAnswer: 1703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-5))\/((-1141)\/(-105) - (10 + 0))?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 107\/8, 0.3 in increasing order.\nAnswer: -2, 0.3, 107\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -6, -42, -78, -114, -150?\n\"Answer: -36*a + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 2 - (-83 + 87)) + (-9 - 1).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -469*s + 470*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3022331.57 rounded to the nearest 100?\nAnswer: -3022300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23342 is divided by 614?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -43 + 42 - ((6 - 2) + 0).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -16*8\/160*15\/(6\/(-2))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 23*f**3 - 2*f**2 + f. Let l be b(1). Let k = -186 + 115. Let m = k + 75. Solve 3*g = 5*i - l, m*g + 1 = -5*i - 5 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.05 - 2.05. Let i = p - -2. Let m = 1\/63 + -4\/9. Which is the second smallest value? (a) i (b) -0.4 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i. Let u(l) = -250453*l**2. What is g(u(c))?\nAnswer: -250453*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*l = 48*l - 8. Let k = 1 + 2. Put 1, l, k, -25 in ascending order.\nAnswer: -25, 1, l, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0 (b) 17 (c) 3 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 + 55 + 4*m**3 - 9 - 6*m**3 - 5.\nAnswer: -2*m**3 + 64","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 89603 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 85695 divided by -2955?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99543 is divided by 68?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -z**3 + 6 + 1 - 2*z**4 + 0 + 0*z**4 as j*z**3 + c*z**4 + s*z**2 + v + h*z and give v.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 65 - 167. Let l = 114 + d. What is the biggest value in 0.2, -3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 11 = 1, 4*o - 8 = -2*b. Let v(j) = -j**3 - 4*j**2 - 3*j + 4. Let r be v(b). Solve 4*q - q = -15, -4*q = l + r for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6.0067 - 0.0067. Which is the closest to 1\/4? (a) -0.5 (b) w (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21451, 42840, 64179, 85462, 106683, 127836?\nAnswer: 148915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zn when two letters picked without replacement from {p: 1, j: 5, n: 3, z: 5, e: 3, v: 1}?\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -9*m**4 + 237*m**3 - 438*m**2 - 1608*m + 576 = 0.\nAnswer: -2, 1\/3, 4, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13915 and 115?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*k**2 - 101 + 101.\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1 and 4545?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 - 18*m**2 - m - 10. Let i be o(-18). Let c(v) = 14*v - i*v - 7*v. Let n(a) be the third derivative of a**5\/15 - a**2. What is n(c(y))?\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -207*t**3 + 207*t**3 + 7*t**2 + 4*t**4 - 2. Let n(m) = 7*m**4 + 15*m**2 - 5. Let k(o) = 2*n(o) - 5*r(o). What is the third derivative of k(b) wrt b?\nAnswer: -144*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67*-6*4\/(-8)?\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*y - 134 = -5*i - y, 4*y + 108 = 4*i for i.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.1 (b) 3 (c) -6 (d) -5 (e) 0.35 (f) 18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -432 smaller than -433?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 9, 12, -5, -782, 3, 4 in ascending order.\nAnswer: -782, -5, 1, 3, 4, 9, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 708246.\nAnswer: 2, 3, 7, 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 1:37 AM?\nAnswer: 2:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 5*n - 5119, -4*h = -4*n + 1126 - 7946. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 3*q**3 - 65*q**2 - 16*q - 446. Determine k(24).\nAnswer: 3202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - 12. What is the remainder when 2 is divided by (1*-1)\/(6\/l)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of -k**6\/210 + k**5\/140 + k - 12. Let n(r) be the first derivative of w(r). Factor n(y).\nAnswer: -y**3*(y - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -199695030\/29 or -6886035?\nAnswer: -199695030\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 + 206*c**3.\nAnswer: 206*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 4*r = -9*r, -5*x + 17 = -2*r. Let t = x + -1. What is the units digit of (t + (1 - 3))*22?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 z when two letters picked without replacement from ohlvbzo?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and 204?\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1*-9)\/((-40)\/(-200)). Let x be (-21)\/(-1674)*-10 + (-10)\/t. Which is smaller: 1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12141 is divided by 92?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -2*j - 10. Let f be u(-7). Suppose -k - f*k - 75 = 0. Let m(a) = -a**3 - 16*a**2 - 18*a - 9. What is the tens digit of m(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6554649481?\nAnswer: 223, 29393047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, 29, 94, 215, 410?\nAnswer: 697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1145893513 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5044062 and 888?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 199372701?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of y**3\/3 - 5*y**2\/2 - 4*y + 7. Let a be h(6). Is 27 a factor of (-496)\/24*(-9)\/a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12b5ba1 (base 14) to base 13.\nAnswer: 1b48562","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 6, -3 in decreasing order.\nAnswer: 6, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 92 = 57*r - 50*r. Suppose -3*d = t - 219, 126 = 2*d - 4*t - 6. Let u = d - -56. What is the lowest common multiple of r and u?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 159, 149, 131, 105, 71?\n\"Answer: -4*n**2 + 2*n + 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1365769*v + 17595 = -1366160*v for v.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 2*p + 226 = 0, -218 = 4*w + 2*p - 30. Let b = w + 46. Suppose -4*n + b*m = -4*m - 384, -5*m = -n + 84. What are the prime factors of n?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*b**4\/5 - 63*b**3\/5 - 24*b**2\/5 + 63*b\/5 + 6 = 0. Calculate b.\nAnswer: -10, -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ay when two letters picked without replacement from aaayygaag?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*i = 0, 30 = -54*s + 57*s + 4*i for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4 (b) -74 (c) -2\/5 (d) -3.1 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0.3, -3, -4, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -117, -458, -1025, -1818?\n\"Answer: -113*c**2 - 2*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23 - 53. Let z be -1*2*15\/a. Let r be -2 - z\/((-1)\/5). Solve 0 = 5*b - r*b - 4*p + 12, b = p - 4 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*w - 2*w + 2*w + (-13 + 2*w + 13)*(0 - 1 - 1) + (2 + 2 + 0)*(5*w - 4*w - 2*w) as p*w + i and give p.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w**(-15)*w))\/(w\/w**(1\/5))*(w**(-2\/7))**5 assuming w is positive.\nAnswer: w**(447\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 403 = 145. Suppose a = 4*m - 45. Calculate the highest common factor of m and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 220123 (base 4) to base 13.\nAnswer: 1240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 - 10*j**2 + 9*j + 3. Let v(c) = -c**2 + c. Let a(f) = -5*v(f) + w(f). Let o be a(4). Is (-1)\/(2*o\/(-114)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of -j**4\/8 + j**3\/6 + 9*j**2. Let g be s(1). What is the common denominator of 39\/11 and g\/(-80)*-22 - 4?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*q + 42*q = 0. Sort 2\/19, q, 4, 3 in ascending order.\nAnswer: q, 2\/19, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -4*d - 38. Let g be p(-11). Suppose 0 = -7*l + 20 - g. Factor -8*k**l + 4*k**3 - 3 - 13 - 35*k + 7*k + 0.\nAnswer: 4*(k - 4)*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 + 8*y**2 - y - 9. List the prime factors of w(-7).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 r, and 1 q when three letters picked without replacement from {y: 2, l: 3, j: 2, q: 1, r: 5, v: 6}?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2 - 6*d + 6. Let y be w(5). Let t(k) = k + 7. Let m be (4\/3)\/((-8)\/36). Let a be t(m). Is y != a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 791.2111 litres to millilitres.\nAnswer: 791211.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = t + 3*q, 4*t - 7*q + 52 = -2*q. Let c be 18\/(-22) + t\/44. Let k = c + 4. Solve k*n + n - 12 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x = 12*x + 4*a + 34, -4*x = 5*a + 44. Suppose m = 91 - 25. Let c = m + x. 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: Let z = 1519\/2515 - 2\/503. What is the biggest value in z, 0.2, -4, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100946930 is divided by 85?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 203 (base 10) to base 13.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*m**2 + 6*m - 21*m**2 - 6*m.\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirty-one fifths of a meter?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n**3 - 20*n**2 + 68*n - 64 = 0. What is n?\nAnswer: 2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -491 divided by 1?\nAnswer: -491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (635 - 635 - 72*l**2)*(-l + 3*l - 4*l + 1).\nAnswer: 144*l**3 - 72*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 0. Let j = 0.8 + 2.2. Let v = u - j. Put -0.2, v, -1\/8 in increasing order.\nAnswer: v, -0.2, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/34300 and 69\/789880.\nAnswer: 27645800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 4121334 (base 5) to base 10\nAnswer: 67094","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2637 rounded to 1 decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/(-27)*(-12)\/(-64).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 45\/2 - 25. Suppose -23 = 2*l + 5*g, -5*l - 2*g - 9 = 17. Which is bigger: l or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 - (8 - -3 - -11).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + y = -220, 2*q - 86 - 30 = -y. Suppose -5*v - 21 = -q. Calculate the smallest common multiple of v and 15.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 49 - 49. Suppose g = -2*u - 4*l + 2016, -2*l = -3*u + 2*l + 3004. Suppose 51*v - u = 47*v. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14563\/2850 - 326\/75. Find the common denominator of m and 51\/28.\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*-1*(34\/136)\/(-9*9\/3564)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 51 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 - 3*x**2 - 2*x + 4177. Is c(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 2*sqrt(112) + sqrt(112) + 3 + sqrt(112) + 0 + (sqrt(112) - sqrt(112)*2 - sqrt(112))*-6 + 2*sqrt(112)*5)**2.\nAnswer: -416*sqrt(7) + 75716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4 and 1689712?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-6) + ((-8)\/(-33))\/(190320\/(-31746) - -6).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -16 + 17406\/54*2115 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 275?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 a factor of 74841?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 5*w**2 + 5*w - 69. Let v be i(-16). Suppose -1133*j = -v*j - 2092. What are the prime factors of j?\nAnswer: 2, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3170915101 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (69*a**4 - 92*a + 134*a**4 - 1756*a**4 + 92*a)*(-a + 0*a + 3*a).\nAnswer: -3106*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0571615 kilometers to millimeters.\nAnswer: 57161.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 - 1. Let j be m(0). Suppose 0*h - 2*h = -10. Let q(z) = -z**2 - 9*z + 7. Let a be q(-10). Put h, a, j in increasing order.\nAnswer: a, j, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*x + 2*h + 20, 23 = 5*x - 16*h + 14*h for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 4*l - 3 = 10, -4*l = 8. Let h = 12 + t. Suppose -y = -h*y. Solve y = 6*p - 2*p - 3*z - 4, 0 = p + z - 1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) -2276 (c) -3 (d) 0 (e) -1.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 3 = -2*m, 4*m + 2*v - 15 = v. Put m, 7, 1 in ascending order.\nAnswer: 1, m, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4530\/50 - (-3)\/(-5). Suppose 4*q = 2*i - m, -26 = 3*q - 11. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 5*k**4 + 13360*k**3 + 9134235*k**2 + 1857420180*k - 1866567780 = 0.\nAnswer: -1749, -462, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of -6*t**6\/5 + 78*t**5\/5 - 661*t**4\/12 + 535*t**3\/6 - 75*t**2 + 900*t. Let m(u) = 0. Calculate u.\nAnswer: 5\/6, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 33 = 40. List the prime factors of (-5 + o\/2)*-142.\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*(560\/(-30))\/(-14)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28 - 26. Let w(v) = 6*v**2 - v**f - 4*v**2. Let o(j) = -j - 1. Let q(i) = -4. Let u(m) = -4*o(m) + q(m). What is u(w(y))?\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141 is divided by 15?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3818.\nAnswer: 2, 23, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r + 5*r + r + 3*r + 0*r + 0*r + (0*r - r + 3*r)*(-1 + 1 + 2) + 8*r - 14*r - 3*r.\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 453593929 is divided by 147?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8426 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 167410000 rounded to the nearest 1000000?\nAnswer: 167000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -17323290?\nAnswer: 1\/3464658","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 AM and 7:05 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 7 = -3*l + 1, -2*v = -l - 24. What is i in 3*i + 6*i**3 + v*i**2 - 8 - 6*i - 5*i = 0?\nAnswer: -2, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of -3013*y**9\/504 + 37*y**5\/30 - 29*y**3\/6 + 15*y**2 - 32. What is the third derivative of r(v) wrt v?\nAnswer: -361560*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of -1523*x**4\/8 - 4897*x**3\/6 - 1632*x**2 - 3. Differentiate n(c) wrt c.\nAnswer: -4569","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -5*r**3 + r**2 + r. Suppose 0 = u + 5, -5*u = -4*k + 2*k + 13. Let o = -7 - k. Is v(o) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -551*j - 51*j**2 + 567*j + 13*j**2 wrt j?\nAnswer: -76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b**4 - 119338*b**3 - 3542443861*b**2 + 1070801973300*b - 80512037122500 = 0. Calculate b.\nAnswer: -59819, 150","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -62554184, -62554186, -62554188, -62554190, -62554192?\nAnswer: -62554194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/((-315)\/24) - (-735)\/(-1715)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20254.761 months in years?\nAnswer: 1687.89675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 + 9*w + 6. Let r be d(-8). Let o be (-1)\/(1 + 1)*r. Solve -i + 1 = -o for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -658679 + -121324. Let l be 6 + -3 + q + 0. Round l to the nearest one hundred thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-10)\/l)**(-1\/3)\/(l**(-21)*l\/(l*l*((l*l*(l*(l\/(l*l**15))\/l)\/l)\/l)\/l*l)) assuming l is positive.\nAnswer: l**(32\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-26)*-1*-40*(-12)\/2880?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 5 (c) -1777\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4852875 is divided by 13945.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.14408 * 0.07\nAnswer: -0.0100856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1478, 1349, 1154, 899, 590, 233, -166, -601?\nAnswer: -1066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/w**(-4))\/w*w)**(-39)*(w**(-6))**6)**(-6\/23) assuming w is positive.\nAnswer: w**(1386\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 176 and 2560768?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*f**2 + 729*f - 37606 with respect to f.\nAnswer: 16*f + 729","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-10)\/8288*(-45)\/45. Which is greater: v or -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 + 4 + (-15 - 81\/(-9)). Put i, -4, -2, 14 in descending order.\nAnswer: 14, -2, -4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n = -52 + 94. What is the hundreds digit of 5 - (7*-1059)\/n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*o - 33*o - 25*o + (-3*o + 5 - 5)*(5 + 1 - 1)*(-2 + 0 + 0) to j + v*o and give v.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 v when two letters picked without replacement from {v: 5, a: 7}.\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 20 - -4014?\nAnswer: 4034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-1\/4)*(p**(-12)\/p)\/p*p\/(((p**(-1)\/p)\/p)\/p)*p*(p*p**(-2\/13))\/p*p assuming p is positive.\nAnswer: p**(-385\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1413*q**6 + q**5 - 994*q**3 + 34624*q**2 + 953.\nAnswer: 169560*q**3 + 60*q**2 - 5964","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 26954 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -4*g**2 + 11*g + 9. Let n(d) = 5*d**2 - 12*d - 9. Let h(r) = -3*n(r) - 4*o(r). Let b be h(11). Solve b = 4*j - 3*m, -3*j + 5*m + 17 = 3*m for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of -q**3 - 12*q**2 - 87*q - 41. Differentiate y(b) wrt b.\nAnswer: -6*b - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 240 = 4*d + z, -4*d = -228*z + 232*z - 216. Solve -43*c + 110 = -d for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -565.246 to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.9002 + -0.0998. Sort d, 3.83, 2\/15.\nAnswer: d, 2\/15, 3.83","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3277061 to the nearest integer?\nAnswer: 1810","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -66 + (24 + 50 - 32).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*(1 - 0) - -1. Suppose 3*v - 7 = -8*p + 3*p, 3*p = -4*v + 13. Let l be -3*4\/(-4) - p. Solve 16 = l*o - h*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**4\/11 + 50908651*q**3\/11 - 152725959*q**2\/11 + 152725961*q\/11 - 50908654\/11.\nAnswer: (q - 1)**3*(q + 50908654)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 + 16*c**2 - 3*c + 26. Suppose -25 - 38 = 5*r - 2*b, 2*r = -2*b - 14. Is 31 a factor of d(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of 0 + 2*h**2 - 2\/3*h**3 + 10*h + 1\/12*h**4. Does 7 divide r(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 - 9*a + 48. Let u(y) = -16*y**2. What is h(u(j))?\nAnswer: 256*j**4 + 144*j**2 + 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/23051 and 79\/368816.\nAnswer: 368816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 - 7*d + 12. Calculate the remainder when 31 is divided by g(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 178554147?\nAnswer: 3, 181, 328829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 44*i - 7. Let a be h(7). Let c = -465 + 889. Suppose -5*o + a = -c. Is o a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 + 2 + (0 + 2 - 1)*(-13 + 4 + 0))*(-17*d - 6*d - 7*d).\nAnswer: 240*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1)\/(-3))\/(5\/30). Let b be (1 - c\/2)\/(-2). Let x = 35\/74 + 1\/37. Is b > x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, b: 5, w: 3, d: 1, q: 3}. What is prob of picking 2 q and 1 b?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 68196 and 324.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3128 is divided by 331.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14742 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 7*d - 2. Let n be 9*(6\/(-3) + 3). Let g be 2\/(-3) - (-42)\/n. What is the remainder when y(g) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 + 26. Let p be -1 + (-3 - (-64)\/r). Which is the nearest to -0.06? (a) -5 (b) 1\/5 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 2*c + 228 = -5*h, 212 = -5*h + 2*c. Let t = h - -66. Let n = -48 + 68. Calculate the lowest common multiple of t and n.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10504\/11 - -954. Is 0 > j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k**2 + 3*k - 12. Let l = -356 - -352. Determine c(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 7:13 AM?\nAnswer: 7:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 5, k: 1, l: 4, u: 3}. What is prob of sequence mml?\nAnswer: 20\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (1 - -4)\/5 - 219\/354 and -113\/18.\nAnswer: 1062","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.07 in -0.4, -46, 0.1, 0, -0.05?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.592782 milliseconds in minutes?\nAnswer: 0.0002598797","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 96*u + 95*u + 5 = 0, -4*z - 2*u = 2 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 826921\nAnswer: -3307684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -12*t**2 + 36*t + 2. Let x be v(2). Is ((-6)\/9)\/(x\/(-70239)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -18.4 in 2, 0.5, -0.06, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2189 + 749 = -288*o. Solve -d + 7 = 2*a, 18*d - o*a + 10 = 13*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -9*j**3 + 28*j**2 + 182*j + 25. Is b(-18) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 270 = -4*m - 3180, -5*v + 2910 = 2*m. Round v to the nearest 10.\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of 43*o**2\/2 + 4*o + 13. Is h(2) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 4876?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - o - 1, 0 = -3*c - 0*c - 2*o - 2. Suppose -5*v - s + 240 = c, -2*s = 3*v + 2*s - 144. Does 12 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*10.95.\nAnswer: 43.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33168*o + 15 = z + 33169*o, -2*z - 15*o - 22 = 0 for z.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 170 - 170.274. Let g = 0.074 + z. Which is the fourth biggest value? (a) g (b) 3 (c) 4 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 36*b + 6. Let j = -28 - -30. What is the remainder when f(j) is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17204 is divided by 150.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-72*(-70)\/3360)\/(9\/(-204))\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 2*q = 9, -x + 3*x - 2*q + 6 = 0. Calculate the smallest common multiple of (-2 - x)*3 - 1 and 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4324301323 (base 5) to base 10\nAnswer: 9212713","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1308338 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.7695338 centuries?\nAnswer: 0.07695338","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 6:55 AM?\nAnswer: 9:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 19 + 1501?\nAnswer: 1520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 4*u = 4, 2*v - 3*u - 3 = 4*v. Suppose -4*p - 8 = 3*m - 0*m, v = -p + 5*m + 21. Suppose -7 = 2*i + p, w + 3*i - 7 = 0. Is 9 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 611, 556, 503, 452, 403, 356, 311?\n\"Answer: z**2 - 58*z + 668","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 97*f + 13778. Determine n(-142).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3445679.\nAnswer: 17, 157, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 6 = -0*t. Suppose -t*i = 4*n + n - 88, i - 5*n - 29 = 0. What is the remainder when i is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.345228 rounded to 3 decimal places?\nAnswer: -0.345","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104789 is divided by 52?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -9860432?\nAnswer: 4930216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a kilogram in grams?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1779953881?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -1568*b - 1554. Calculate y(-1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, o: 4, j: 2, i: 4}. Give prob of picking 1 k and 1 i.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/26560 and 23\/4888.\nAnswer: 16228160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*u - 1780 = 23*u. What is the third derivative of 26*d**2 - 9*d**4 + 2*d**4 - 89 + u wrt d?\nAnswer: -168*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*m + 246 = -293. Let v be (28\/m)\/(6\/14). Let k = -4.6 - -5. Put v, 5, k in decreasing order.\nAnswer: 5, k, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95 = 3*c + 4*j - 39, 2*c + 60 = -4*j for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/7, -0.3, -3\/8, -0.39?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4210789 and 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 93.\nAnswer: 4\/93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g\/((g**(-45)\/g)\/g)))\/g)\/(g*g\/(g\/g**(-1\/2)))*(g**(3\/4)*g)\/g*(g*(g*g**(-38))\/g*g)\/g assuming g is positive.\nAnswer: g**(-339\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a kilogram in grams?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1.1*54\nAnswer: 59.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9\/4*g**2 - 1\/2*g**3 - 1\/4*g**4 + 1\/2*g - 2 = 0. What is g?\nAnswer: -4, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19992 to the power of 1\/2, to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -16\/27 and 62\/77340441.\nAnswer: 696063969","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 165 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 35*p + 2 - 26*p + 3919*p**2 - 10*p - 1 to the form s*p**2 + v + k*p and give s.\nAnswer: 3919","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*m + 1866 = -54*m. What is the hundreds digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 40*r - 61*r + 41 + 23*r + 7*r**2 + 0*r + r**2 + 0*r + (-5*r + r + 5*r)*(-4 - 2*r + 4) + r**2 + 2*r**2 + 2*r**2.\nAnswer: 11*r**2 + 2*r + 41","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 h, and 2 x when four letters picked without replacement from xsxwlxswwhxm?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -2*m**2 + 6*m + 53. Let q(d) = d**2 - 2*d - 1. Give 4*q(v) + x(v).\nAnswer: 2*v**2 - 2*v + 49","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 3*p**3 - 134*p**2 - 181*p - 30. Let z be g(46). Let t(l) = 6*l**3 - l**2 + 3*l. Let q be t(3). What is the greatest common divisor of z and q?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bwhhhyhhhbhhh. What is prob of sequence bby?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 2*q**2 - 2*q + 1. Determine w(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 63*x = -33356. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1440 divided by 90.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000006442 rounded to seven dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {d: 6, c: 7}.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 11*(-4)\/(-60) - (-4)\/(-12). Let j = 551 + -548.8. Which is the second biggest value? (a) -2 (b) k (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34999261 divided by -2\nAnswer: 34999261\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 876928 by 64.\nAnswer: 13702","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3636484, -3636482, -3636480, -3636478, -3636476, -3636474?\n\"Answer: 2*l - 3636486","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/(t\/t**(-5\/4))*t**(-15)*(t**2)**(2\/45) assuming t is positive.\nAnswer: t**(-2909\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 + -20 + (-13 - (5 + -1 - 7)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -148.3 rounded to the nearest ten?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - 12\/(-10)) + 168\/(-1176). What is the third biggest value in x, 1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -259*y**6 + 10*y**2 - 4*y.\nAnswer: -31080*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -90858820 divided by -3494570.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 3*g - 4*g + 4*n, 3*g - 5*n = 28. Suppose 0 = g*a - 4*a - 126. What is the greatest common factor of a and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 + 9*h**2 - 7*h - 4. Let j be u(8). Suppose 2 + j = m. Does 11 divide ((-188)\/m)\/((-10)\/15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3211, -0.082, 0.4?\nAnswer: 3211","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-268*m**2 - 210*m**2 - 215*m**2 - 296*m**2 - 111*m**2)*(11*m + 2*m + 3*m + 0 + m + 0 + (m - m + 2*m)*(-3 + 1 + 0) + m - 2*m + 3*m).\nAnswer: -16500*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2863329171 by -3.\nAnswer: -954443057","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 7*z - 3*z = -178, -140 = 4*y + 4*z. Which is the closest to 0.1? (a) 2 (b) y (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 3 = -4*r, -3*r = -a - 6. Is (a\/(-6))\/(2\/556) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 + 3*(0 - 1). What is the third derivative of y**5 - y**5 + 4*y**2 + m*y**5 + y**6 wrt y?\nAnswer: 120*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(363) + 2 + (sqrt(108) - (sqrt(108) + -2)).\nAnswer: 4 + 11*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.75? (a) -0.4 (b) 4 (c) -92 (d) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*b**2*j*w**2 + 6*b**2*j*w - 4*b**2 + b*j*w**2 - b*j + 10*j*w**2 - 2*w wrt w.\nAnswer: -8*b**2*j + 2*b*j + 20*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000000 + -1101011001100?\nAnswer: -1101100001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1648 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*n**2 + 3*n**2 - n**2)*(5 + 119*n**2 - 5) to r*n**4 + o*n**3 + f*n**2 + h*n + d and give r.\nAnswer: -476","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 + 8. Let l = 105.62 + -101.62. Let m = l + b. Sort m, -2\/3, 2 in decreasing order.\nAnswer: 2, -2\/3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69190309 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33235 is divided by 60.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 20*v**2 - 7*v - 5. What is the tens digit of p(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 6*s. Let f(v) = v + 111. Calculate d(f(l)).\nAnswer: 6*l + 666","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 442\/(-51)*6\/(-4). Suppose 5*i - w = -h - h, -h = -4*i. Suppose 3*u = m - 133, -m - 4*u = -h*m + 409. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f - 5*f + 6*f)*(0 + 0 + 2*f) + (2*f**2 - 3*f**2 - f**2)*(2 - 3 - 1).\nAnswer: 10*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35198 + 29206 - 34279 = 10915*b + 57964 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1747 + -0.2875. Let s = -0.47 - v. What is s rounded to three decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j + 3*i - 21, 0 = -2*j + 4*j + 5*i - 7. Let g be 4*(-1 - (-8)\/j). Factor g - 4\/3*h + 1\/3*h**2.\nAnswer: (h - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 30*z**2 + 135*z - 98. Let l(t) = -11*t**2 - 48*t + 33. Let n(x) = -11*l(x) - 4*q(x). Calculate n(10).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c**2 - 2*c**2 - 2*c**3)*(98 + 48 - 85 - 5*c).\nAnswer: 10*c**4 - 122*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5152.48 days to nanoseconds.\nAnswer: 445174272000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8*22\/176*-2*-4*(-177)\/24?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 8324879 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 + q. Let b(w) = 5*w**2 - 8*w - 4. Let g(f) = b(f) + 4*x(f). Let y be g(6). What is the highest common divisor of 24 and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 5*x = 55 - 15, -15 = -5*x. Suppose 5*t - 8*t = -12. Calculate the remainder when (t\/(-3))\/(7\/(-630)) is divided by k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -434.56508983 - -434.32509. Let k = 0.24 + h. Round k to 7 decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -213, 886, 2717, 5280?\nAnswer: 8575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*-5*(-4)\/(-30).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 3*o**3 - 3*o**2 - 12*o - 8. Let q be b(6). Suppose 0 = -5*w + 45 + q. Does 7 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2638?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2*b**3 + 30*b**2 + 6. Let n be p(-15). Solve -2*j - n = -z - 2, -2*z = 8 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 s when three letters picked without replacement from {s: 12, b: 2, r: 3}.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2 - 5 + 2*l - l - 2*l - 2 - l**3. Let r be (-4)\/14 + 10\/35. Give o(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6810307*v**3 - 6810286*v**3 + 13620595*v**3.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f + 1. Let n be u(-5). Let k(g) = g - n + 3 + 3. Let b(m) = -7*m. What is k(b(i))?\nAnswer: -7*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*3*(1 + sqrt(13)).\nAnswer: 3 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 552*n - x - 16 = 547*n, n + x - 2 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 + 4*c**2 - 12*c + 7. Let r be s(2). Solve z + 12 = r*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 577 divided by -1102?\nAnswer: -577\/1102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 + 15*c**2 + 14*c + 4. Let r be a(-14). Solve 0 = 5*q + 9 - r for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*l - 147 - l**3 - 50*l + 21*l + 4*l**3.\nAnswer: 3*l**3 + l - 147","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o - 4. Let n be 3*12\/(-10)*60\/(-9). Suppose 0*k = -6*k + n. Determine a(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + 16230\/945 - (-45)\/63?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 50203000 to the nearest one hundred thousand.\nAnswer: 50200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -127*l**2 - 19 + 62*l**2 + 58*l**2 + 22 - 13*l**3. Let x(u) = -5 - 4*u**3 + 11 - 2*u**2 - 5. Calculate -2*c(b) + 7*x(b).\nAnswer: -2*b**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m**(-1\/2)*m)*m**(1\/3)\/m)\/(m\/m**2*m\/((m\/m**(1\/13))\/m)) assuming m is positive.\nAnswer: m**(-19\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -2*d**3 + 52*d**2 - 51*d + 29. Let t be m(25). Solve 3*r - t*r = -0*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-1))\/10*(-16)\/(-4)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 + 19. Let t(x) = 2*x**2 + x - 1. Let u be t(1). Let i be (1 + -1)\/(2\/u). Solve -5*y - f - 1 = -2*q, i = 4*q for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26 + 118 + (-51 + 26 - -49)\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9018165137 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -669*g**2 + 180861*g + 308419879 wrt g?\nAnswer: -1338*g + 180861","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffeffeqfoqoffqf. Give prob of picking 2 q and 2 o.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -14*r**3 + 3. Let j(b) = 57*b**3 - b**2 - 13. Let u(c) = 2*j(c) + 9*w(c). Let m be u(-1). Solve 5*x - 5*k - m = -31, -x + 3*k - 4 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, d: 1, y: 1}. What is prob of picking 2 q?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {s: 5, v: 7}.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence izgb when four letters picked without replacement from {g: 2, y: 4, b: 1, p: 3, z: 1, i: 1}.\nAnswer: 1\/5940","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/75 in 1\/9, -5, -4, -0.4?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q, 2*q + 3031 - 636 = 5*a. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 5 = -2*n - 5*r, -5*n + 4*r = -14. Let k be 12\/(4 + -1) - n. Suppose 13*a - 495 = -k*a. What is the remainder when a is divided by 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46 + 20885*m + 46 - 20888*m.\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -3*o - 2*g, 3*g = -3*o + o + 21. Let s(m) = -m**3 + 11*m**2 - 11*m + 13. What is the tens digit of s(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 2\/359, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 (base 11) in base 9?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3465 and 1197?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l**2 + l**3 + 0*l**3 - 2*l**2)*(102*l + 175*l - 87*l + (-1 + 1 - 1)*(2 - 2*l - 2) - 2*l + 2*l + l + 2*l + 0 + 0 + 4*l - l - 5*l).\nAnswer: 193*l**4 - 386*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together -283457998 and 0.84.\nAnswer: -283457997.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12599 - 12599.2. What is the nearest to -2 in 32, v, -0.1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -22880, -4, 1629, -5, 1.\nAnswer: -22880, -5, -4, -3, 1, 1629","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 3966967?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 31815 times 833\nAnswer: 26501895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 8*k + 721. Let c be o(-91). Let m(z) = 5*z**2 - 20*z - 9. Let b(i) = -3*i**2 + 10*i + 5. What is c*b(t) - 4*m(t)?\nAnswer: t**2 + 10*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -2\/5 (b) -154 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 478898, 957754, 1436628, 1915526, 2394454, 2873418, 3352424?\n\"Answer: q**3 + 3*q**2 + 478840*q + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 5*x + 8 = 0, 2*x - 12 = -3*d + 4*x for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5054601881 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -69*d**2 - 2912*d. Let h(q) = 3*q**2. What is i(h(j))?\nAnswer: -621*j**4 - 8736*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 994 = 4*i - s, 3*i - 2*s = 226 + 522. Let t be (-9)\/(-45) - i\/(-10). Solve 3*b + 2 = -5*a - t, -b - 5*a = 19 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3, 5, -4, -243, 7 in decreasing order.\nAnswer: 7, 5, -1, -3, -4, -243","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -20, -2, 122.8, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 17\/((-187)\/44) + 5\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-729)\/(-4374)*((-107)\/5 + (-3)\/5)\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w. Let o be z(-6). Suppose -3*t - 16*j + 85 = -17*j, 3*t = 3*j + 93. Let q be (3\/(-9))\/((-57)\/t - -2). Solve -q = -g - o for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -4*f + 1. Suppose 2*g + f = -3, 0 = t - 4*g - 20. Solve -t*z + 3 = -z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -8*c**2 - 3*c + 6. Suppose 3*u - 18 = -0*u. Let l(b) = -9*b**2 - 3*b + 7. Let p(t) = u*l(t) - 7*n(t). What is the second derivative of p(o) wrt o?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*m + 8629337 - 8629337.\nAnswer: 44*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 54 or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/3720*-93)\/(6\/(-236))*3?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2320220557?\nAnswer: 13331, 174047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*j**2 + 7*j**2 - 12*j**2)*(9*j + 83*j + 193*j + 6*j - 5*j + 0*j + (-3 - 3 + 4)*(j + 3 - 3) - 2 - 2*j + 2 + 2*j + 0*j - j)*(-2 + 3 + 1).\nAnswer: -7358*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 x when three letters picked without replacement from ouoqqqx?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1220026389 to the power of 1\/6, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5780517?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91407.\nAnswer: 3, 30469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -51 - -5?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72 is divided by 17*((-2)\/14)\/((-5)\/35).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.206 - -2.35. Let i = k + -0.173. Sort 0.3, -5, -0.2, i in increasing order.\nAnswer: -5, -0.2, i, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/19? (a) 0.19 (b) -2 (c) 86 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 15870 (base 15) in base 5?\nAnswer: 4210110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 5:17 AM?\nAnswer: 4:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/381? (a) -0.4 (b) 1\/2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 426 - 3820\/9. Find the common denominator of x and 74\/6*3\/(-9).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -190.4 + 161. Let v = -17.6 + d. Is -2 less than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-4))\/((-20179)\/(-68)). Which is bigger: -1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*2\/(-12))\/(2\/12).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of -107*x**4\/4 + 2*x**3\/3 + 133*x + 319. Differentiate r(y) with respect to y.\nAnswer: -321*y**2 + 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -2*f**4\/3 + 352*f**3 + 4708*f**2 - 31408*f\/3 + 5410 = 0?\nAnswer: -15, 1, 541","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*j - 17*j - 24 = 0. Does 19 divide 3 + (-437)\/j - (-1)\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2*r**3)*(-2*r + 3 - 3) + (-3*r + 2*r + 2*r)*(-3*r**3 - r**3 - 4*r**3) + 3*r**4 + 0*r**4 - 2*r**4.\nAnswer: -3*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(567) + (sqrt(567) + (2 + sqrt(567))**2 - sqrt(567)) + 1 + sqrt(35)\/(sqrt(5) - (1*sqrt(180) - sqrt(5))) + 3.\nAnswer: 179*sqrt(7)\/4 + 575","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 1 = -36 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 3*z**2 + 22*z - 13. Let u be j(-8). Let s = -3\/92 + -169\/460. Let v = 13 - 6. Which is the second smallest value? (a) v (b) u (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21 - 20. Let r be (-2)\/(-10) - (-138)\/(-15). Let m be -5*3\/r - 0. Which is smaller: w or m?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of b**3\/3 - 5*b**2 + 3*b + 17. Let g be n(10). Solve -2*o**3 - 4*o**g - 14*o**2 + 10*o**3 - 6*o**2 = 0 for o.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4292 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 less than -8155949873?\nAnswer: -8155949876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 161*j**2 + 51*j - 304. What is the thousands digit of w(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 712166 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*i + 4*i - 4*i)*(-40709 - 62892 - 55315 + 45799) to t*i + j and give t.\nAnswer: 226234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2422637?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.8 - 1.2. Let y = -0.01 + 0.21. Which is the closest to 0? (a) y (b) 3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.166 times -0.2?\nAnswer: 2.8332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116967?\nAnswer: 3, 127, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 49560 + -49555. Let j(g) = 3*g - 5. Let q be j(4). Which is the second biggest value? (a) q (b) 3\/2 (c) i (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-2\/7)*r)**(4\/7)\/(r\/r**(-3\/11)*r**(3\/4)) assuming r is positive.\nAnswer: r**(-1545\/2156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lh when two letters picked without replacement from {l: 1, v: 3, h: 2, d: 1, p: 1, x: 3}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 - 3*f - 1. Calculate m(-9).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1511 - 1565) + -1 + 73?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -1, -n - 3*y + 4 = -10. What is the remainder when n is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/(-6) + 95\/15)\/2. Solve 3*d = g - 6 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44278.08cm in micrometers?\nAnswer: 442780800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4d (base 16) in base 2?\nAnswer: -1001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -144 divided by 12?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5)\/(-25) + 6892\/15. Let j = -482 + x. What is the common denominator of -69\/4 and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 6 - 3)*(-7 + 7 - 3*q**3)*(-2 - 2 + 6) - 2*q**3 + 4*q**3 + 3*q**3.\nAnswer: 17*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -70, -72, -74, -76, -78?\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1417542.\nAnswer: 2, 3, 7, 33751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 1. Let a be ((-45)\/(-6))\/(-5) + 6\/12. Let b(l) = 17*l**2 + 27. Let t(k) = a*b(k) + 2*m(k). What is the first derivative of t(q) wrt q?\nAnswer: -34*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/4 (b) 3 (c) 1\/3 (d) 0.5 (e) -6 (f) 6162\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 - 4*o**2 - 3*o + 4. Is 4 a factor of y(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2ca5a + 97?\nAnswer: 2cb02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 12727107 and -10.\nAnswer: -127271070","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-26) + 0)\/(14\/(-14))*2.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 884229883 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 48 = 5*c. What are the prime factors of (c\/10)\/((-2)\/15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of g**5\/100 + g**4\/40 - 2*g**2 - 10. Let a(k) = 0. Calculate k.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o**4 + 3*o**4 + 0*o**4)*(-19631 + 2*o - o + 19838).\nAnswer: -o**5 - 207*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/7)*(z**(2\/11)*z)\/z)**(-26\/3)\/((z**0)**(-2\/47)*z**(1\/9)\/z**(3\/2)) assuming z is positive.\nAnswer: z**(-3691\/1386)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 185*f = 42*f + 705, -2*f - 5 = -3*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24233874?\nAnswer: 2, 3, 7, 17, 33941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 38*v + 1. Let r(k) be the first derivative of -5*k**3\/3 - 391. Determine w(r(p)).\nAnswer: -190*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/2? (a) -0.4 (b) 8583 (c) -22\/3 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**4 - 2850*k**3 + 100713*k**2 + 575190*k.\nAnswer: 3*k*(k - 913)*(k - 42)*(k + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 17 (b) 4 (c) -1993 (d) -69\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6639?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14859 * 5002.9.\nAnswer: -74338091.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 226\/9*(-20)\/40 - -13?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.07 to 0 decimal places.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -430 + 33977. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -90 + 36 + -7 + 21?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in thirty-seven fifths of a kilogram?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 149 = l, -145 = -0*f - 5*f + 5*l. Suppose 2*d + 12 = f. Find q such that -3\/2*q**2 - 27\/2 + d*q = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of s**4\/6 - 3*s**2\/2 + 2*s + 1. Let q(b) be the first derivative of w(b). What is the first derivative of q(o) wrt o?\nAnswer: 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -207.5 - -210.5. What is the nearest to u in -4, -2\/5, -5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 111*x**3 + 3*x**2 - 14*x**2 + 13*x**2 + 2 as c + k*x + g*x**2 + r*x**3 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -3 + (1 - -4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -97 - 339*z + 132*z + 144*z. Let c(u) = -3*u - 1. Let x(o) = -6*c(o) - i(o). Differentiate x(g) with respect to g.\nAnswer: 81","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j + 21. Suppose -o = -2*o. What is the remainder when u(o) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 3*z - 28. What are the prime factors of z?\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 0.3, 0, 0.603?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3\/451349 - -8019117518\/24824195. Let r = o + -3189\/10. What is the common denominator of r and -145\/6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 49*a - 1774. What are the prime factors of o(109)?\nAnswer: 3, 29, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20 - 42. Let w = p + 62. Suppose -5*g - b = -w, 3*b - 20 = -b. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 + 8*y**2 - 11*y + 6. Let b be p(7). Let w = b + 35. Let o(t) = 10*t + 25. What is the units digit of o(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 800 and 832.\nAnswer: 20800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, r: 9}. What is prob of sequence frrr?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -130 - 3231033?\nAnswer: -3231223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 63 - (-27 + 16 + -16 + -9 - -19).\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(1*sqrt(68) - sqrt(17) - (sqrt(136)*-1)\/sqrt(8))*4)**2.\nAnswer: 4352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 12*p - 13*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -50 - 142780?\nAnswer: -142820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/1*(-136)\/884?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 l, and 1 o when three letters picked without replacement from ooxoxplpco?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 9816619037 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 33667\/2622 - 3\/437. Suppose 0 = -3*k - h - 1600, -4*k - k - 4*h - 2669 = 0. Let v = -3205\/6 - k. Find the common denominator of o and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1374 - 1658. Are -848\/3 and n unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.42, -3, 0.1 in increasing order.\nAnswer: -3, -0.42, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -2*t**3 - 6*t - 2. Suppose -10 = -2*s + 3*q, 0*s + 5*q = -5*s + 75. Suppose -s = 10*g + 29. What is the hundreds digit of m(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that c**3\/6 + 19588*c**2 + 562874400*c - 748012320000 = 0.\nAnswer: -59400, 1272","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8901 and 207.\nAnswer: 8901","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -7.2 times -0.2\nAnswer: 1.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3565*g - 288794 + 140350 - 269685 = 80971 for g.\nAnswer: -140","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2 - 1) + 2)*-5. Suppose 27 - 47 = -j*t. Solve 5*y + 2*b = b + 29, -3*y = t*b - 31 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -40415, -40430, -40455, -40490, -40535, -40590?\n\"Answer: -5*l**2 - 40410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -263*b + 58*b + 4510 = 0 for b.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 25*b**3 + 90*b**2 - 4455*b - 2700 = 0. What is b?\nAnswer: -15, -3\/5, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -17*f + 15*f - 11, 5*l - 19 = 3*f. Calculate the remainder when 247 is divided by l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -26 + -104?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cp when two letters picked without replacement from kplpzpkcczkzcccc?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of -1\/15*z**4 + 0*z**2 + 0 + 0*z**3 + 9*z. Let d(b) = 0. Calculate b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 1, -23290, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1\/5, -73, 0.3, 0?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h + 7*h + 6*h)*(-2*h + 2*h + 2*h**3)*(3 + 2*h - 3).\nAnswer: 52*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/3*-7*18\/21. Let f be (-4)\/g - 30\/(-24). Let i(s) = s. Let r(w) = 1. Determine f*r(j) - i(j).\nAnswer: -j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = o - 0*o + 11, 0 = 4*j + o + 47. Let t = j + 16. Let 9*w**3 - 9*w**4 + 8*w**2 + 12*w**t + w + 2*w + w**2 = 0. What is w?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n + 4*n - 4*n)*(-3*n - n + n + (-n - 4*n + 4*n)*(-1 + 2 - 2)).\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-13))\/(a*a*a**(-2\/21))*(a**(2\/43))**24 assuming a is positive.\nAnswer: a**(11930\/903)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.4, 2\/3, 6, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1 - -421.9. Let n = -421.9514 + s. Let v = -0.065 + n. What is v rounded to three decimal places?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 AM and 1:38 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1154863 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d + 1. Let t(f) = 3*f + 5 + 10*f - 4*f + 10*f - 3*f. Give -10*g(j) + 2*t(j).\nAnswer: 22*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 872.9865 decades?\nAnswer: 8729.865","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 5*k - 3 = -0*k, -4*k = -4. Let y = 81 - 71. Sort m, 3, y in decreasing order.\nAnswer: y, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of 2*f**5\/5 + f**4\/2 - 2*f**3 - f**2 + 4*f + 4. Solve v(y) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - 2. Let r = l + -1.1. Which is the smallest value? (a) 0 (b) -4\/7 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the second derivative of 11\/57*i**4 + 4\/19*i**3 - 53*i - 8\/19*i**2 - 3\/190*i**5 - 1\/57*i**6 + 0. Let l(n) = 0. Calculate n.\nAnswer: -2, -1, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -6*b + b. Let v = -10 + b. Let h(z) = 37*z**2 - z + 1. Is h(v) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17 and 26056495?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -10 (b) -2 (c) 4 (d) -3 (e) -194690\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 2*k**2 + 4*k + 48. Suppose 3*r + 18 = -0. What is the units digit of t(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -2*g**3 + 5*g**2 + 4*g - 12. Let t(i) = -3*i**3 + 7*i**2 + 6*i - 18. Let s(f) = 7*n(f) - 5*t(f). What are the prime factors of s(0)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((5 + sqrt(4)\/sqrt(2) - sqrt(2)) + sqrt(2) - sqrt(2))*3 + sqrt(12)\/(sqrt(36)\/(sqrt(42)\/sqrt(7))))**2 + 2.\nAnswer: 30*sqrt(2) + 229","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9325\/169 + -13893225\/250796. Let r = v + 1\/212. Calculate the common denominator of -31\/8 and r.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4120663 at most as big as -4120669?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*u + n - 9, -14 = u - n - 9 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 20*((-2)\/(-3))\/((-1296)\/243)\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -10100101 (base 2) in base 8?\nAnswer: -245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 2*n + 7. Let u be w(7). What is the common denominator of 1\/9 and (-9)\/u - 3292\/(-168)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 76*m**2 - 42958*m**3 - 44*m - 60 + 85917*m**3 - 42931*m**3.\nAnswer: 4*(m - 1)*(m + 3)*(7*m + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*i**3 - 188 + 761 - 187 - 180 - 206.\nAnswer: -6*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, h: 6, t: 2, a: 1}. What is prob of sequence hoth?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-10)\/2)\/((-5)\/6). Suppose 1042 = -4*t + c*t. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 821 and 1329199?\nAnswer: 821","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millennium in decades?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2106\/17 + -124. Let k = 263 - 263. Is k bigger than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {o: 4, j: 4, s: 2}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16055 + 79502\/5. Let i = 5243\/30 + c. Find the common denominator of -44\/123 and i.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 475 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12\/(-6)*15\/(-2). Let h be 21\/l - (4 - 3). Which is bigger: -3 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o*o**24*o)*o)\/o)\/o*(o*o*(o**(-2\/57)\/o)\/o)\/o)\/(o**(-26)*o*o*o**(8\/11)) assuming o is positive.\nAnswer: o**(-2359\/627)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 PM and 3:44 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -223*l**2 + 19 + 5 + 131*l**2 + 135*l**2 to x*l + h*l**2 + s and give h.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64 = 48*z + 41*z - 73*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12.01 + 0.01. Let k = -7 - p. What is the biggest value in k, 3, 4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*h + 4*h - 7*h**4 + h + h wrt h.\nAnswer: -84*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 + 9*j**2 + j + 11. Let r be y(-9). Suppose 4*i - 8 = 2*i. Let k(t) = -2 + i + t - r. What is k(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 19984894 and 141236.\nAnswer: 39969788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 2 j, and 1 w when four letters picked without replacement from wjjjzbbzj?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2 + 6*h - 3. Let d be b(4). Suppose -g + 0*g - s = -1, -s = -3*g + 7. Let p be -6 + 5 - (-2 + -1). Solve 5*f = -d*j, p*f = -f - g*j + 2 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.75, 3.17, -4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001004394313 to 6 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -96 + 42. Let k = j - -66. Suppose -i - 5*n + 0*n = k, -2*i - 2*n = 8. Put 3, i, -0.1 in ascending order.\nAnswer: i, -0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9798 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*f, -5*x + 0*f = 5*f - 5. Solve -y + 4 = -3*y + a, -2*y - a = x for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2444911\/33339 - 17\/11113. Find w such that 100\/3*w**3 + 16 + i*w + 260\/3*w**2 + 4*w**4 = 0.\nAnswer: -4, -3, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12? (a) 5 (b) 0.05 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -14474?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -16757 > -67023\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7899616 is divided by 462?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 4*n + 5*n + 8*n + 9*n - 25*n. Let q(o) = -157*o + 2. Calculate q(j(m)).\nAnswer: -157*m + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-17)\/2 + 6)*(-18478)\/5 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 + 14*o**2 + o - 6. Give n(-14).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**1)\/b**9*b**(22\/7)*b\/b**(-3\/5) assuming b is positive.\nAnswer: b**(-149\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -13*q + 2. Let k(w) = 21*w + 29*w + 24*w - 75*w + 2. Let m(a) = -2*a + 8. Let n(p) = -4*k(p) + m(p). Calculate v(n(r)).\nAnswer: -26*r + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -64 (base 12) in base 9?\nAnswer: -84","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*q**3 + 689*q**3 - 27*q**3.\nAnswer: 647*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.05 - 0. Let i = l + -0.35. Let c = -1831.6 + 1832. Which is bigger: i or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5 + 1 + -1)\/(-1). Suppose 2*d - 15 = -h, -4*c + 56 = 4*d. Suppose -11 = -5*s + c. What is the greatest common factor of s and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 592 + -581. Find the second derivative of 19*l - 9*l - 27 + 15 + v*l + 7 - 109*l**2 wrt l.\nAnswer: -218","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -74998 and -74999 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -170971 and 5034?\nAnswer: -860668014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express h**2 - 3 + 3 - 9*h + (h + h - 4*h)*(-2*h + 3*h + 4*h) in the form u + t*h**2 + q*h and give t.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2233872748 - 61\nAnswer: -2233872809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7003 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -53*t + 147. Let v = -321 - -311. What is the units digit of c(v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -403, 3, -3, 5, -4 in ascending order.\nAnswer: -403, -4, -3, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 5*n - 16. Let f be i(4). Let y(s) = -5*s**2 - 25*s - 5. Let v be y(-5). Sort v, 5, f, -1 in descending order.\nAnswer: 5, f, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 43316 and 36309.\nAnswer: 637","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from liiiiliilllli. What is prob of picking 2 i?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -38, -382, -1028, -1976, -3226?\n\"Answer: -151*t**2 + 109*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 5*l - a, -2*a + 4 - 2 = 0. Suppose l*g - 2*g = 8. Let k(s) = s**g + s**2 - 3*s**2. Let o(v) = 2*v**2 + 2*v + 1. Determine -4*k(f) - o(f).\nAnswer: 2*f**2 - 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*p**4 + 19778*p**3 + 107*p**2 + p + 219 wrt p?\nAnswer: 72*p + 118668","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 19 and 11.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.61098 to 0 decimal places.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*z + 334 = 2*c + 76*z, -469*c - 5*z + 35 = -465*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.54, -0.3, -0.1, -2\/7, -0.0323, 3\/8?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14 in -1\/5, -3, -1, 1.67?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 63 - 43. Suppose 2*h + 4*a = 20, a - n = h - 3*a. What is the closest to h in -0.1, -0.3, 0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 88\/42 + 10\/(-105)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b879 + -a56?\nAnswer: -c602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/4 + -6 + (-53)\/(-10). Let m(b) = -2*b - 1. Let i be m(1). What is the second smallest value in y, -1, i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 277126058?\nAnswer: 2, 11, 19, 60271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than -205\/691633?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(5\/4))**(13\/4)\/(b\/(b*b**(-23)))**(3\/25))**36 assuming b is positive.\nAnswer: b**(4689\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 2*sqrt(1088))*1*-6 + 5.\nAnswer: -96*sqrt(17) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the third derivative of 169*v**6\/720 + 13*v**5\/40 + 3*v**4\/16 - 10*v**3\/3 - 25*v**2. Let j(q) be the first derivative of w(q). Factor j(r).\nAnswer: (13*r + 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 7*q**2. Let p(x) be the second derivative of x**4\/3 + 572*x. Determine v(p(r)).\nAnswer: 112*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 28\/10 + (-2)\/(-10). Let h = p - -2. Suppose -4*m = m. Solve -2*d - 2*b = -4*b + 12, -h*d - 2*b - 9 = m for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of -x**6\/60 - 2*x**5\/15 + 7*x**4\/4 + 4*x**2 + 70*x. What is d in p(d) = 0?\nAnswer: -7, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of u**4\/24 + 5*u**3\/6 - 5*u**2. Let r be g(-5). Solve r*x = -x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a decade in months?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1593250389?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*v + 86 + 892. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 98490 and 1474.\nAnswer: 1083390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -297 - -196. Let s = -101.3 - f. Which is the fourth biggest value? (a) s (b) 1\/2 (c) -0.4 (d) -6\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 + k + 11. Let w = 309 + -483. Calculate the remainder when w\/(-4) - 3\/6 is divided by d(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -39 - -42. Suppose -c*w + 1 + 71 = 0. Let u be (2 - w\/4) + 8. Solve 3*g = -m + 4, 6*g - 35 = g + u*m for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -2 + (-6 - 0 - 3 - 5)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, 49, 104, 181?\nAnswer: 280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-111952)\/12*6\/(-4) + 75\/15.\nAnswer: 13999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 + 12*x - 13. Let n be p(10). Let r = n - 11. Let g be (-1)\/(r\/(19 - -1)). Solve 0 = -3*u + k - 13 + 1, g*k = -5*u - 40 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(896\/(-84))*-40*(-2)\/2.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 58 - 34. Let c be (-3 - -7)*54\/u. Suppose c*i = -3*i + 17532. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*i**4\/4 - 21*i**3\/2 - 9*i**2\/4 + 30*i + 21 = 0. What is i?\nAnswer: -1, 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/(q**3*q)*q*q\/((q\/(q\/((q*q**8)\/q)))\/q))\/((q*q**(-9))\/q**10) assuming q is positive.\nAnswer: q**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13580 is divided by 6777?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 11:03 PM?\nAnswer: 2:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 284 + -549. Let f = 166 + s. What is f rounded to the nearest ten?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1989 divided by 13.\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*k - 2*k + 5*k + k - 2*k**3 - 72581*k**2.\nAnswer: -2*k**3 - 72581*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/2*0 + 16. Let d = s - -16. Does 16 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*l**2*y - 292*l**2 + l*y + 11*l - 40*y - 2 wrt l.\nAnswer: -12*y - 584","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 17 = 5*z, 43*z + 19 = 19*z + 19*z - 2*u for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6383584 or -6383581?\nAnswer: -6383581","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 8) in base 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138255 is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(245)*2)**2)*-3*-2.\nAnswer: 5898","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 - -3 - 4) + 23. Suppose -s = -2*s + j. Is s a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/(-16) - (-26)\/4. Suppose 0*d = -2*d - g. Let h be 10\/15 - 73\/d. Solve f - h = 6*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, 7\/5, 25.4, 7 in increasing order.\nAnswer: -4, -2, 7\/5, 7, 25.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 y when two letters picked without replacement from {e: 7, y: 3}.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2886*w**3 + 2118*w**3 - 8915*w**3.\nAnswer: -9683*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2241787, 4483568, 6725349, 8967130, 11208911?\nAnswer: 13450692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.02 - 0.01. Let h = -0.09 - v. What is the second biggest value in 3\/5, -2\/11, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 3 and 61\/18 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6139 - 6419. Which is the biggest value? (a) l (b) 1\/4 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5835159143?\nAnswer: 11, 530469013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 397*u - 399*u + 288. What is the greatest common divisor of u and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*j - j + 23912487*j**2 - 2 - 23912460*j**2.\nAnswer: 27*j**2 - 5*j - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - z - 3*r + 179 = 0, -3*z + 3*r = -306. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9950 to the power of 1\/2, to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 32.22027mg?\nAnswer: 0.00003222027","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 + 14*m**2 + 2*m + 17. Determine p(-14).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 5 (b) 861 (c) 9 (d) -5 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2213, -8517, -19023, -33731, -52641, -75753, -103067?\nAnswer: -134583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 173*v**3 - 34*v?\nAnswer: 1038*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -6, 0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nttk when four letters picked without replacement from ttkktkknnknkkkkt?\nAnswer: 27\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/(y*y**11))\/y)\/(y\/y**(-33)))\/((y*y**(3\/4))\/y**9) assuming y is positive.\nAnswer: y**(-155\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the second derivative of q**6\/180 - q**5\/12 + q**3\/2 + 19*q. Let y(k) be the second derivative of p(k). Factor y(z).\nAnswer: 2*z*(z - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -93.22 - -90.22. What is the biggest value in t, 0.07, -0.1, -6?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -526191.157 + 526432. Let w = 241 - g. Let y = -0.1570918 + w. Round y to 5 dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -5*n + 165. Let f(v) = -v**3 + 26*v**2 - 22*v - 53. Let c be f(25). What are the prime factors of x(c)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 + 5.3. Let n = 0.0817 + 1.9183. What is the smallest value in -3\/4, a, n?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 - 5. Suppose 3*q + 5*l - 11 = 0, -3*l - 3 = -4*q + 31. Let o be 1 - d - (q + -15). Solve 2*y - 2*h - 15 = h, -o = -5*y + h for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -114956680 by 1240.\nAnswer: -92707","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m - 4*m + 4*m)*(3 + 3 - 7) - 3*m + 5*m + m + (-2*m + 4*m - 4*m)*(2 - 4 + 7)*(0 + 0 + 3).\nAnswer: -28*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 47880 by 3990.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -97 - (-33 + (-129 - -66))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-171)\/36 - 1\/4. Let n = g + -5. Let r be n*(1 - (-1)\/(-2)). Sort 4, -6, r in ascending order.\nAnswer: -6, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5 - 49\/7 - -5. Suppose -2*d - w = -24 - 9, 0 = w - 5. Put -3, q, d in decreasing order.\nAnswer: d, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 66424395 and 705.\nAnswer: 705","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 0.5, 2\/11, 6\/7 in increasing order.\nAnswer: -0.3, 2\/11, 0.5, 6\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 t when three letters picked without replacement from yyyyytyyyyyyy?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 15b065 (base 12) in base 2?\nAnswer: 1011010101110001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*q - 0. Suppose -s = -q*s + 10, 0 = -3*j - 4*s + 50. Solve -3*d = -d - j for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b - 20016 = 56988. List the prime factors of b.\nAnswer: 2, 3, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 - (-6)\/((-108)\/179835). Let m = 10014 + i. Calculate the common denominator of -37\/44 and m.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 5*q + 5. Let w(y) be the third derivative of y**4\/24 + y**3\/2 + 3*y**2. Let p be w(2). Is 15 a factor of n(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l**(-3\/2)*l)*l)\/l*l*l)\/(l\/(l**2\/l)) assuming l is positive.\nAnswer: l**(7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 - 6*p**2 - 6*p - 3. Let x be (-10)\/(-4)*(2 + -4). Let t be d(x). Let i(s) = -s**3 + s**2 - 3*s + 1. What is i(t)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 5*j + 44 = 0, -5*o + 5*j + 0 + 10 = 0. Calculate the remainder when 10 is divided by o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 158879, 314105, 469331, 624557, 779783?\nAnswer: 935009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 1:24 AM?\nAnswer: 2:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/384656 and -13\/16936?\nAnswer: 28079888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -6*q**2 - 11*q - 13. Let l be m(-12). Is (-1)\/(((-20)\/l)\/(-4)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 42.96 - -10.74. Round j to zero decimal places.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 + 3 + 1)*(5*a + 16*a - 12*a) + (0*a + 2*a - a)*(-1 + 4 - 2))*(-2*a**2 - a + a).\nAnswer: 16*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10312.4 * 25.\nAnswer: -257810","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.042 (b) 78.8 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 705 and 1269?\nAnswer: 6345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 90695 to the nearest integer?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32023013 (base 4) to base 9.\nAnswer: 87565","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4469, 4527, 4641, 4811, 5037, 5319?\nAnswer: 5657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1463)\/(-44) + -33 - (1 + (-6)\/8). Let s(q) be the third derivative of 0 + 7\/6*q**4 + l*q - 39*q**2 - 1\/30*q**6 - 8\/3*q**3 - 2\/15*q**5. Factor s(y).\nAnswer: -4*(y - 1)**2*(y + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**1)**19\/(((x**(-2\/7)*x)\/x)\/x)**(-49))\/((x*x\/(x\/(x*x**(2\/7)*x)*x*x)*x**(-1\/3)*x)\/(x**2*x)**(-9\/8)) assuming x is positive.\nAnswer: x**(-8287\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 262387 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 43 + -41.8. Let l = z + -1.1. Let v = -7 + 3. What is the nearest to l in -0.3, -3\/5, v?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 117 + 3. What is the tens digit of t\/(-60) + (-404)\/(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(1\/4))**10*a\/a**(-8)*a\/(a**0\/a*a))**(-12\/7) assuming a is positive.\nAnswer: a**(-150\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 5, -2*w + 21 = w - 3*h. Let z(g) be the first derivative of -1\/6*g**3 - 1\/4*g**w + 1\/10*g**5 + 0*g - 1 + 1\/8*g**4. Factor z(a).\nAnswer: a*(a - 1)*(a + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (455\/260)\/((-18)\/108)\nAnswer: -21\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*0.117428158\nAnswer: 0.0352284474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 658 and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kc when two letters picked without replacement from bkkkbbkkkbybcbk.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-180)\/(-648))\/((-35)\/(-3)). Let h(n) be the second derivative of 3*n + 0 - 1\/7*n**2 + y*n**4 - 1\/70*n**5 + 1\/21*n**3. Factor h(i).\nAnswer: -2*(i - 1)**2*(i + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 17 = -s, -2*s = 2*s + 3*l + 47. Let n = s - -13. Suppose -u - 3 = 2*y - 16, 4*y - 23 = -n*u. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of c**4\/4 - c**3\/2 + 3*c**2. Let x be (1\/(2\/8))\/2. Determine h(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3\/2 - 3*k**2\/2 + 2*k.\nAnswer: -k*(k - 1)*(k + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4658578.\nAnswer: 2, 17, 181, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -19*x**3 + 26*x**2 + 43*x - 3. Let i(a) = 7*a**3 - 9*a**2 - 15*a + 1. Let l(p) = -8*i(p) - 3*r(p). What is l(7)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10062*v**2 + v - v - 10057*v**2.\nAnswer: 5*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vu when two letters picked without replacement from evkxu.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.02 + 0.32. Let s = -0.7 - l. Let q = -1.0000004 - s. Round q to 6 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -9*u - 347. Give c(9).\nAnswer: -428","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 81 + -47. Suppose 3*o + 4*p - 2 = -0, 0 = 2*o + 4*p. Suppose o*a = 4*a - f. Solve 0 = -4*s - a - 3 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.54 and 5152088.\nAnswer: 2782127.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 3*i + 375 = 2*i, 2*h = -3*i - 365. Let q be h\/(-8) + 6\/(-8). Calculate the highest common divisor of q and 253.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003447600993 rounded to five dps?\nAnswer: 0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4500 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 192567?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 PM and 9:02 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s - 2. What is the remainder when a(-9) is divided by (3\/(-6))\/(1\/(-8))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -116 - -80. Let d = 50 + g. Is 14 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b**2 + 2*b**2 + b**2)*(-2 + 1 - 1)*(-3*b + 3*b - b) + 7*b**3 - 8*b**3 - 3*b**3.\nAnswer: -6*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(56)\/(sqrt(8) + sqrt(800)))**2 + 3.\nAnswer: 370\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-35 - 9*q + 35)*(-q**2 - 5*q**2 + 2*q**2)*(1 + 71*q - 4 - 60*q) to the form l*q**2 + c + g*q**3 + z*q + b*q**4 and give b.\nAnswer: 396","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0.3, -79, -3\/2 in decreasing order.\nAnswer: 4, 0.3, -3\/2, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118*k + 3635 = -144 - 4422 + 1475 for k.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 119 + -835\/7. What is the closest to 1 in 2\/11, 1, y?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -2*u - 3. Let k = 17 + -20. Let d be j(k). Suppose 0 = -d*g + 41 + 37. Does 20 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -277.9 to the nearest ten.\nAnswer: -280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f**4\/3 - 332*f**3\/3 + 328*f**2\/3 = 0 for f.\nAnswer: 0, 1, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.7 - 2. Is -15\/2 greater than or equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -2 + 0 - (-114)\/(-19)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 192 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0117369 centuries to months.\nAnswer: 14.08428","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2053557*o**3*z**4 - o**3*z**2 - 217*o**3*z - 3*o**3 - o**2*z - 15*o**2 + 164*z wrt z.\nAnswer: 24642684*o**3*z**2 - 2*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than 28\/253?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -157 and -10379.4881?\nAnswer: 10222.4881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -141, 3, -11, -4 in descending order.\nAnswer: 3, -4, -11, -141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 18\/9*(-8 - -4). Put -5, 1, v in descending order.\nAnswer: 1, -5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -931421582, -1862843163, -2794264744?\nAnswer: -3725686325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -10*c + 21. Suppose 0 = -64*w + 63*w + 3. Suppose 0 = c*s - k - w, 4*s = 6*k - 7*k + 3. Let p(t) = -t**2 - t. Give p(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -155\/39144 and 69\/5216?\nAnswer: 25521888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -20419*s - 130. Let b be h(-3). Suppose -2*i = 9*i - b. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*p + 3*p - 45738 = 0. Suppose -6*b + 3*w = -4*b - p, 0 = -5*b - 4*w + 5163. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2. Let p(q) be the third derivative of 0*q**4 + 0*q**3 + 13\/60*q**5 + 0 + 0*q - 3*q**2. Give u(p(h)).\nAnswer: 169*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2*1\/(-4) - 34\/(-4). Let j be (-2)\/a + 1\/(18\/(-466196)). Round j to the nearest one thousand.\nAnswer: -26000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-207)\/(-9))\/23)\/(1\/5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -102, -8, -2, 0.2, 4\/9 in ascending order.\nAnswer: -102, -8, -2, 0.2, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/2 - (-158)\/(-20) and -71\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86 - 88 = -2*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 13, m: 3, z: 1}. What is prob of sequence zm?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together 216 and -3.\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 - 11*o**2 + 12*o + 5. Let j be z(-12). Suppose 3*r + 1 = -j*f + 2, -4*f - 1 = 3*r. Solve 3*t + f*t - 15 = 5*l, -6 = -3*t for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 3*t + 9, 8*y = 3*y - t + 35. Suppose 0 = -2*f + 8*f - y. Is f smaller than -14\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -237073 and 0.833260407?\nAnswer: 237073.833260407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 812 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 + 3*p**2 + 3*p + 2. Let v be t(-2). What are the prime factors of 2 + v + 36 - 0?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 1062 = 5*p. Is p a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7.6 + -2.4. Let v = h + 5. Which is the nearest to -0.1? (a) 1\/5 (b) v (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 331599905 to the nearest integer?\nAnswer: 692","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 678786290?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 649?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 117744 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: ((-8)\/28)\/((-18)\/42)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 + 8*u**2 + 28*u - 80. Let t be z(10). Put -5, 10, t, -4 in ascending order.\nAnswer: -5, -4, t, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 7*o - 4. Let v be c(3). Suppose 4*m + 4*u - 265 = -v, 0 = 3*m - 2*u - 176. Suppose 0 = -0*k - 4*k + m. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1851*g**2 - 6*g + 290 wrt g.\nAnswer: 3702","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3659151?\nAnswer: 3, 1219717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fourty-two fifths of a centimeter?\nAnswer: 84000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 - 11*g - 7. Suppose 0 = 87*n + 1905 - 5820. Calculate the remainder when n is divided by c(-8).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 - 3*g - 27. Let u(j) = j**2 + 4*j + 28. Let b(o) = -4*l(o) - 3*u(o). Let s = -14 - -14. Does 12 divide b(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 5*g - 11. Let t(h) = -g*h + 2 - 3*h - 2*h**3 + 0*h**3. Let q(n) = 2*n - 5*n + 5 - 4*n**3 + 5*n - 10*n - 3*n. What is 4*q(r) - 9*t(r)?\nAnswer: 2*r**3 + r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f**3 + 8*f**3 + 12*f**3.\nAnswer: 20*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 + 113. Let r(h) be the second derivative of -h**3\/6 + 9*h**2\/2 + 10*h. Let b be r(-16). Calculate the greatest common divisor of b and x.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -19*s**3 + 46*s**2 + 88*s + 143. Let p(x) = 7*x**3 - 15*x**2 - 29*x - 48. Let z(b) = -3*l(b) - 8*p(b). Does 23 divide z(20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 - 4*s + 6. Let n be r(5). Suppose 0 = -n*o + 18 + 4. What is the highest common factor of 22 and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 623666 + -363661. Suppose 2*p + 3 = -p, 2*g - d = 5*p. What is g rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 2*o - 2 - 2, 2*o + t - 7 = 0. Find the third derivative of 2*p**4 - 10*p**o + 2*p**4 - 4*p**2 wrt p.\nAnswer: -144*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t**3 - t**3 + t**3 - 591.\nAnswer: 2*t**3 - 591","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -14*y**3 - 3*y**2 + 48*y - 29. Let w(j) = -j**3 - j**2 + 16*j + 1. What is l(q) - 3*w(q)?\nAnswer: -11*q**3 - 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.18 + -35.82. Let n = 35.8 + x. Sort n, 1\/3, 5, 3 in ascending order.\nAnswer: n, 1\/3, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.4 in 93, -1.31, 44\/3?\nAnswer: -1.31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -k + 10, 0 = -3*u - k - 3 - 7. Put -5, -2, u, 1 in decreasing order.\nAnswer: 1, -2, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pqiqiqiqiq. Give prob of sequence qqpq.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = p - 19, 2*p + p - 9 = 0. Let i be (20\/(-6) + 2)*-3. Suppose -10 = 2*y - i*y. Sort -2, d, y in decreasing order.\nAnswer: y, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 236*t - 6. Let c be y(1). Let v be 60\/45*(-15)\/(-2). What is the highest common divisor of c and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 4) + 9 + -8?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 + -15. Suppose q*f + 2680000 = -4*f. What is f rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, 249.9, -4437 in descending order.\nAnswer: 249.9, -1\/5, -4437","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81426?\nAnswer: 2, 3, 41, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 2*a - 2*n + 12, 0 = -5*a + 3*n - 24. Put -17, 5, -11, a in descending order.\nAnswer: 5, a, -11, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 275.3022 - 0.5822. Let m = -2.72 + u. Which is smaller: m or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 5*i - 65, -4*d = d - 4*i - 101. Calculate the remainder when (-2745)\/(-54) + (-20)\/24 is divided by d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -4*l - 7. Let i(y) = -y**2 + 14*y - 7. Let g be i(11). Let a(f) = 6*f + 14*f + 10 - g*f + 12*f. Determine 5*a(w) + 7*o(w).\nAnswer: 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/2502 and 43\/555783.\nAnswer: 463523022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 614176 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c + 8. Let u be d(-8). Let b(t) = t**2 - 12*t + 28. Let k be b(9). Solve o + 1 + k = u for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of o**6\/180 + o**4\/12 + o**3\/3 - 2. Let l(s) be the third derivative of a(s). What is the derivative of l(y) wrt y?\nAnswer: 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8125 or 311?\nAnswer: 311","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 502 is divided by 56?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, 2, -10, 0 in increasing order.\nAnswer: -10, -4, -1, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 - 6*i**2 - 6*i + 7. Let a be s(-5). Let n(u) = 4*u**2 - 77*u + 22. Let o be n(19). Solve 3*d - 7 = -l, o*l - a = -2*d + 2 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 15930700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17\/297 + 16567\/594. Let h = c + -28. What is the smallest value in -0.5, h, -5, -0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 1\/11, -0.4, 2?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 4 (c) -675 (d) -0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 36536\/6464427 - 2\/17907. Let f = l - 1450\/1083. Which is the biggest value? (a) 0 (b) -0.3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + 5af?\nAnswer: 5b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -208, -222, -258, -328, -444?\n\"Answer: -2*b**3 + b**2 - 3*b - 204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, h: 1, u: 2, z: 2, w: 1, p: 2}. Give prob of sequence pi.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*n + 83*n = -4 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2168903.\nAnswer: 11, 37, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 67*a**2*u**2*x**2 + 17*a**2 - a*u*x**2 - 2*a*u*x + 953*a*u + 76023*u**2*x**2 - 2*u wrt u?\nAnswer: 134*a**2*x**2 + 152046*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2 - 59*q + 338. Calculate n(7).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 + 19. Let p be i(5). Let r(q) = -q + 5. Let l be r(p). Solve -l = 5*t + 9 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -10 - (4 - -2 - 11). Which is greater: s or -23?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9818085 divided by 1963617\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1120413 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum -6856.9 and -3177325.\nAnswer: -3184181.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*f - 4*q, 3 = -5*f + 6*f - q. Let n = -34 + 33.5. Let k = -0.3 + 1.3. Which is the biggest value? (a) k (b) n (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + 5. Let n(w) = -w**2 + 7*w + 1. Let c be n(d). Suppose -c*l + 5*l + 16 = 0. Does 7 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = 3*o - j, o = 5*j for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-5))**(8\/9) assuming l is positive.\nAnswer: l**(-40\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 2*p**2 - 2*p + 5. Is q(3) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.300076 milligrams in tonnes?\nAnswer: 0.000000000300076","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -100 (base 4) to base 12\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 82.33857l to millilitres.\nAnswer: 82338.57","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 4*w - 0 + 42, -5*w + 96 = 4*q. Calculate the greatest common factor of 261 and q.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -12, 2\/171?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-5100)\/(-76) - 2\/19?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2 + 13*j + 19. Let g be p(14). Suppose 4*f - 46 = -2*b, -41 = -g*b - 5*f + 59. Calculate the remainder when 101 is divided by b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (173*n + 88 - 88)*(4 - 4 - 2)*(n**2 - 2*n + 2*n) as k*n**2 + x + t*n**3 + p*n and give t.\nAnswer: -346","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46 = -38*k + 144 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 182471*p + 912345. Determine n(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1268, -2779, -4292, -5807?\nAnswer: -7324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.04 and -168552.\nAnswer: -6742.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 1 (b) -0.631 (c) 0.8 (d) -0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8441382 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(3)*1 + 2 - sqrt(9)\/sqrt(27)).\nAnswer: 2*sqrt(3)\/3 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -792 + 3?\nAnswer: -789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.006453091 rounded to 2 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -30*c + 459. Calculate g(14).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4504?\nAnswer: 2, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15.92 - 12.92. What is the second biggest value in 2, -2\/47, -11, 4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 154 - 10 = -16*m. Let j(z) = -z**2 - 9*z + 4. Give j(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -8, -2.\nAnswer: -8, -2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -142.99871 + 143. What is h rounded to 4 dps?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 270 and 13020?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -m - 29*m + 2*m + 12*m - 5 as k*m + a and give a.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -z + 3 + z**3 - 11*z**2 + 11*z**2 as h*z**2 + n*z + y + d*z**3 and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of 0*z**2 - 67\/12*z**4 - 84*z + 0 + 43\/6*z**3. Find the second derivative of h(r) wrt r.\nAnswer: -134","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57282833 to the power of 1\/2, to the nearest integer?\nAnswer: 7569","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -69 + 89, 2*a + 4*o = -20. Factor a + 1\/2*v + 3\/2*v**2.\nAnswer: v*(3*v + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 AM and 3:24 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17993*g - 8991*g - 9003*g.\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 490 divided by 373.\nAnswer: 490\/373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 2*c + 2. Let v(d) = -7*d - 16. Let q(f) = 3*p(f) + v(f). Determine q(-10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the third derivative of y**4\/8 - y**2. Let f(r) be the third derivative of 0*r + 0*r**3 + 1\/60*r**5 + 0*r**4 + 0 - r**2. Give d(f(a)).\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -742 at least -538?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 AM and 5:40 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 15*490\nAnswer: 7350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16 and 1232.\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 132079035 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 50\/93 and -53\/3?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbbbbbbbb. Give prob of picking 3 b.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -89, 4 in decreasing order.\nAnswer: 4, -8, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fw when two letters picked without replacement from hwhhhfwwhw.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of -l**6\/270 + l**5\/90 + 5*l**4\/36 - 2*l**3\/3 + 399*l. Determine y, given that c(y) = 0.\nAnswer: -4, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27281445, 54562873, 81844275, 109125639, 136406953, 163688205, 190969383, 218250475?\nAnswer: 245531469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-168)\/4)\/(-6))\/(42\/(-126)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5638075 and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 2*o - 6. Let t be q(5). Suppose 0 - 4 = 4*y. Let l be ((-7)\/(-2) + 3*y)*0. Solve n = 2*k + 3, l*n - 21 = n + t*k for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9 and 242640?\nAnswer: 242640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -5268, -5, -2\/11, -3, 5 in ascending order.\nAnswer: -5268, -5, -3, -2\/11, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4.5 - -0.2. Let b = c + -0.7. Which is smaller: 1\/3 or b?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -8*m. Let o(s) = 57*s. Calculate o(y(w)).\nAnswer: -456*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1213*c**4 - 1347*c**2 wrt c?\nAnswer: 29112*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -56249 + -579.\nAnswer: -56828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.1 and -59560369.\nAnswer: -59560368.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -34*g - 4*g + 12*g**2 - 5*g**2 + 13*g - 20*g + 13. Determine f(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 5*t - 12. Suppose 3*j + 4*s - 33 = 0, -t*j + 3*s + 33 = 4*s. Calculate the remainder when 30 is divided by j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1805 rounded to 2 decimal places?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(-6) + -10 + 39015\/4122. Which is greater: y or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 7 (b) 3 (c) 2\/7 (d) -17 (e) -16.5 (f) -3\/4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -53*n - 81*n + 41*n to the form t + b*n and give b.\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 1:09 PM?\nAnswer: 8:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + 8454?\nAnswer: 8452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = -q - 7, -2 = -5*q + 3*f - 1 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 5*k + 135, -w - 3*k + 80 = 2*k. Let h be (-10)\/w - 24\/(-11). Factor -3*n**h + 8*n**2 + 64 - 15*n - 54.\nAnswer: 5*(n - 2)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108*g + 5151 = -99*g - 56310. What is the hundreds digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6475816415 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/22 and 5\/3412.\nAnswer: 37532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 4 = 32 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -27499\/5 - -5500. Which is the closest to 2? (a) 7\/29 (b) -2\/7 (c) t (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 42440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 20200, 20209, 20230, 20269, 20332, 20425, 20554?\n\"Answer: r**3 + 2*r + 20197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1379970 by 342.\nAnswer: -4035","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1116014 less than -1115585?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -157, -133, -275, -583, -1057?\nAnswer: -1697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -193\/1021350 and 111\/247600.\nAnswer: 8170800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - (-6 - (17 + -9 + 1))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 - 9*i**2 + 2. Let r(t) = -2*t**3 - 17*t**2 - t + 3. Let n be ((-171)\/(-11))\/(-3) - (-16)\/88. Let m(d) = n*s(d) + 3*r(d). Give m(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*z - 111 = 792 + 2447 for z.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 106*m**2 - 45*m**3 - 30*m**2 - 40*m**2 - 36*m**2.\nAnswer: -45*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 16 = -4*a, -p - 2*a = -6 + 8 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -309 (base 10) to base 11.\nAnswer: -261","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*z - w + 67 = 24*z, -11*z = -3*w + 149 for z.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8177 + -8172. Solve 0 = -4*r - 3*w - 19, -b*r + 23 = -10*r - 3*w for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/35)\/(((-792)\/(-63))\/11).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 565 - 7*z + 533 + 38*z - 1613 + 553 - 33*z**2 + z**3. Calculate c(32).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 6*k**5\/7 + 10716*k**4\/7 + 4690584*k**3\/7 + 3979260*k**2 + 41638050*k\/7 = 0.\nAnswer: -1035, -745, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 266007?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1059?\nAnswer: 3, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5\/(-10) + (-16)\/(-12) - (-6)\/(-8). Let u(i) be the second derivative of -18*i + 0*i**3 + 0*i**2 + 0 - b*i**4. Let o(j) = -19*j. Calculate u(o(v)).\nAnswer: -361*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 12.568 and 0.0815?\nAnswer: 1.024292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 9\/6) + (-154)\/308\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (2 + 2*sqrt(832) + 4 + 0)**2.\nAnswer: 192*sqrt(13) + 3362","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -10277, -20436, -30595?\n\"Answer: -10159*k - 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -7*p + 9*p - 5*p + 4*p - 11. Let w = 8 + 3. Determine k(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 10*q**2 + 6*q + 3. Let f(z) = 9*z**2 + 5*z + 2. Let n = -3807 - -3813. Calculate n*o(v) - 7*f(v).\nAnswer: -3*v**2 + v + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 56 + -30. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 57 + (-7 - (-3 + 4)) + 2\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4824 is divided by 964.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*c + 6*c - 230*c = -3476 for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18e51b (base 15) to base 12.\nAnswer: -4a5a08","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/2730 and -75\/19124.\nAnswer: 3729180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*z**2 + 3*z**2 + 8*z**2 + 30*z + 0*z**2 + 6*z + z**3 as r + d*z**2 + s*z**3 + l*z and give l.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 675 - 318. Is 26 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 157*z - 3703. Give s(24).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3332130 (base 5) to base 4\nAnswer: -32100233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the third derivative of 2*q**7\/105 + 7*q**4\/24 - 8*q**2. Find the second derivative of z(n) wrt n.\nAnswer: 48*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 459932 to the power of 1\/2, to the nearest integer?\nAnswer: 678","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19.57 + 0.43. Let q = 40868 - 40887.973. Let a = q + h. Which is bigger: a or -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 6309*j + 36491. Calculate d(-6).\nAnswer: -1363","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.147966693034 from -95.\nAnswer: -95.147966693034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, -3, 0, -1, -19851, 1, 4 in descending order.\nAnswer: 4, 1, 0, -1, -3, -24, -19851","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 710922+-36419\nAnswer: 674503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Solve -648 = 73*q - 19*q for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 30\/(-104) - (-27)\/36. Determine m, given that -c*m**2 - 2\/13 + 6\/13*m + 2\/13*m**3 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 (base 4) in base 13?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -8*l - 6. Let q be z(-33). Calculate the greatest common divisor of q and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -14712090 to the nearest one hundred thousand.\nAnswer: -14700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -379*f + 2*t + 1 = -380*f, 4 = 4*f + 4*t for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 4 - 3 + 4 - 3*s**3 + 11*s + 4*s**3 + 12*s**2. Let k be z(-11). Solve -4*n + 2*h = -9*n + 20, 5*h = k*n + 15 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-6)\/4)\/(45\/(-20)). Suppose 5*u - h + 3 = 0, -2*u = -4*h + 16 - 4. Sort u, 0.1, -47, p in decreasing order.\nAnswer: p, 0.1, u, -47","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -1644, 4 in increasing order.\nAnswer: -1644, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*d + 45052 + 24836 = 0. Does 7 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-13)\/2 + 13\/26. Is 1937 - (0 - (-4 - q)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of p**5\/20 + 73*p**4\/2 + 10658*p**3 + 743*p**2. Factor z(a).\nAnswer: 3*(a + 146)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -3*i. Let d(p) = p. Let z(n) = -8*d(n) - 3*l(n). Let t(b) = 30*b. Give t(z(u)).\nAnswer: 30*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q - 1. Suppose 3*g - 67 = -214. Let h = g - -48. Let n be (-2)\/3 - ((-56)\/(-6) - h). Let d(x) = 6*x - 6. Give n*o(i) + 2*d(i).\nAnswer: i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 10*v + 15. Suppose b = -0*b + 2. Let n(l) = 2*l + 3. Give b*s(k) - 11*n(k).\nAnswer: -2*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 15.2, -2\/335, 4?\nAnswer: -2\/335","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -7.5, -28380, -1\/2, 2, -4 in descending order.\nAnswer: 2, -1\/2, -4, -7.5, -28380","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of k**3\/3 - 54. Let n(c) = -7*c**2. Give q(n(g)).\nAnswer: 49*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 41*l. Let s(x) = 42389*x**2 + 55*x. Calculate s(z(t)).\nAnswer: 71255909*t**2 + 2255*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 3 - 1)*(-4*i**2 + i**2 + i**2).\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1546 - -738. Let h = 825 - a. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 9, 104, 365, 876, 1721?\n\"Answer: 14*g**3 - g**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 53009 or 477074\/9?\nAnswer: 477074\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -596 - 572. Let n(g) = g**2 + 2*g - 1. Let u be n(-3). Let b be h\/(-28) - u\/(-7). What is the highest common divisor of 14 and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1262631*r**2 - 1293090 wrt r.\nAnswer: 2525262*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.538999 to three decimal places.\nAnswer: -1.539","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, -1\/116, 278, 2 in decreasing order.\nAnswer: 278, 2, 1, -1\/116, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3323003 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the second derivative of 6*y**2 - 1\/3*y**3 + 0 + 8*y. Let v be m(6). Solve 3*a - 2*f + 4*f - 2 = v, 0 = -a - 2*f + 6 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6 and 29.51203.\nAnswer: 177.07218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 343 is divided by 37?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + 51?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -74559*v + 820119. What is l(11)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 2 = 11. Suppose 4*j + 0*j + 165 = 5*a, -3*a = -q*j - 96. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/605, 3\/2, -6\/5 in descending order.\nAnswer: 3\/2, -1\/605, -6\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8208 is divided by 2047?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 126807749.\nAnswer: 29, 1217, 3593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2208515 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 7. Let q(j) = j + 6. Let d be q(-6). Let c be 9\/(90\/(-50)) - 3. Sort d, h, c in ascending order.\nAnswer: c, d, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 4, 0, 96749, -5 in ascending order.\nAnswer: -6, -5, 0, 4, 96749","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(1100) - (sqrt(1100) + 1)))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 71428*f**4 + f**3*q + 2*q - 249448 with respect to f.\nAnswer: 285712*f**3 + 3*f**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5605347792 to the power of 1\/8, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 1142 = 7*j, -7*s = -11*s - 5*j + 4614. What are the prime factors of s?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/16 + 815\/4 - 0. Let y = -127 + a. What are the prime factors of y?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -98 (base 10) to base 14\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 10:23 PM?\nAnswer: 5:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 50287 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6469.34ug in tonnes?\nAnswer: 0.00000000646934","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 67 - 63. Let a = -638 + 584. Put r, a, 0 in ascending order.\nAnswer: a, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1140\/3230 - 128\/170. Let w = 2.3 - -8.7. Let z = 20 - w. Sort 2\/3, 0.1, p, z in decreasing order.\nAnswer: z, 2\/3, 0.1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2027, 4014, 5945, 7820, 9639?\nAnswer: 11402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -815398*k**2*x**3 + 3749128*k**2*x + 23*k**2 + 32*k*x**5 wrt x?\nAnswer: -4892388*k**2*x + 640*k*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4271975.72 rounded to the nearest ten thousand?\nAnswer: -4270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 2 + 4 - n + n**3 - n**2 + 5 - 9*n**2. Let q be r(10). Solve -5*j - 11 = -q for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 15, w: 3}. Give prob of picking 1 g and 3 w.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, g: 4, q: 9, r: 1}. Give prob of picking 1 q, 1 r, and 2 g.\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 2*k**3 - 3*k**2 + 6*k + 4. Let q be o(7). Let a = q - 289. What is the remainder when a is divided by 60?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 107*z. Let o(k) be the first derivative of -k**6\/90 - 25*k**3\/3 - k + 157. Let f(x) be the third derivative of o(x). Determine l(f(v)).\nAnswer: -428*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*j + 18*j - 1. Is -1\/747 less than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 237036.\nAnswer: 2, 3, 19753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -42836.53403+-0.839\nAnswer: -42837.37303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n + 4. Let j be q(7). Suppose -3873 + 203 = -5*y. Suppose -4*v + 3*x = 253 - y, 3*v - 5*x = 358. Calculate the highest common divisor of j and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4\/5 (b) -0.5 (c) 0.1 (d) 9.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 20a080 (base 11) to base 2\nAnswer: 1010001111010001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 41*j**2. Let k = 145 + -39. Let f(i) = -i**3 - 27*i**2 + 85*i + 58. Let x be f(-30). Let y(c) = -104*c**2 + x*c**2 - k*c**2. Calculate q(y(n)).\nAnswer: 164*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*g + 11*g + 8*g + 5*g in the form p*g + h and give p.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 130300371?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - 353?\nAnswer: -352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 2*x + 12*x + 5 as y*x + v and give y.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/sqrt(192))**2*5.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yt when two letters picked without replacement from {t: 1, u: 4, a: 1, y: 2, g: 3}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -530 by -1.\nAnswer: 530","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1806*x**5 + 810*x wrt x?\nAnswer: -36120*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 3*s - 342 + 1101, 502 = -2*s + 4*d. Let g = -253 - s. Solve t + 4*j + g = -4, t = 3*j - 1 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) + (sqrt(68)*-2 - sqrt(68)) - sqrt(68))*-6 + -1*(sqrt(68) - (sqrt(68) - sqrt(68)*2) - sqrt(68)))\/((sqrt(1620)*1 - sqrt(20))\/sqrt(5)).\nAnswer: 17*sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 - ((-93)\/12 - (-11)\/(-44)). Let v be (315\/(-14))\/h + 4. Let m = -1\/59 + 181\/236. Which is the nearest to v? (a) m (b) 4 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 29*a**2 - 33*a - 67. Let b be s(-3). Which is smaller: 4388\/15 or b?\nAnswer: 4388\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*x - 44 - 1398 - 450.\nAnswer: 7*x - 1892","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.72734 times -0.0074\nAnswer: -0.005382316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 - 9. Let f(w) = 8*w**3 + w**2 - 2*w + 1. Give f(t).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 5*s = -11508 + 11497, 9 = 3*s for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81613 is divided by 385?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1043974 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -160 + 287. Let n = h + -116. Suppose n*f - 2040 = -9*f. Is f a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14934 divided by -131\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + (-15 - (8 + -7 + -8))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/90*3)\/(6\/30).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/56004 and -62\/507.\nAnswer: 728052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -562 = -b - 470. Calculate the greatest common divisor of b and 2484.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 764 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + y + 47 = 0, -4*y = 2*a + 8 + 12. Let g = 68 - 55. Let f = g + a. Calculate the highest common factor of f and 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 - w**2 + w + 8. Let x be z(0). What is the greatest common divisor of 64 and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12042, 24308, 37016, 50388, 64646, 80012, 96708?\nAnswer: 114956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 268008.9 and -0.5?\nAnswer: -134004.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange o - 9*o**2 + 2*o**2 - o**2 to d*o**2 + t + g*o and give d.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 1872317*w = -1872312*w - 16, -2 = -w for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4\/3, -199, -1\/7, 0, 0.2, 5, 844?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*l + 13 = 2*y + 33*l - 15, -2*y - 3 = -3*y - 3*l for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 77\/5 - 76\/5. What is the fourth smallest value in -1\/6, -41\/6, r, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 8*l - 9 = 0. Suppose 0 = -w - 0 + 2. Suppose l*v + w*v - 295 = 0. Is v a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15399?\nAnswer: 3, 29, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*m + 2*m + m)*(-14 - 5 + 0) - 3*m + 0 + 0 in the form z + u*m and give u.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 97801?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3323 + -1556. Is o a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 + 28*n**2 - 51*n - 70. What is the thousands digit of s(-22)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 + 8*h**2 - 6*h - 2. Let w = -3 - -10. Let y be n(w). Solve -y*k - 8 = -2*m, 4*m + 4*k = 2*m - 10 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3795 divided by 11\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dajpa. What is prob of picking 1 a and 1 d?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -4 + (-3 - 1 - (-29 - -11)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 - 8. Let o = m + -6. Let k = 1.1 - 1. What is the closest to k in o, -1\/5, -0.3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1631.7, -784, 2?\nAnswer: -784","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -12127 and -2.\nAnswer: 24254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*s - 4*t - 33 = 5*s, -3*t - 1 = -s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 109*r**3 + 79*r**3 - 8894*r + 8873*r in the form y*r**3 + g*r + v + p*r**2 and give g.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*y + 20 = -4*y + 2 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.028 - 0.0594. Let i = -0.2756 - s. Let p = i + -0.0428. What is p rounded to 2 dps?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -175832534*-2\nAnswer: 351665068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 858224859 to the nearest integer?\nAnswer: 29295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -r**3\/6 + r**2\/3 = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 - 3 - 8 - 4 - -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 96 and 1374981.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 17017*d**3 + 1430*d**2 + 715*d + 715. Let u(y) = -143*y**3 - 12*y**2 - 6*y - 6. Calculate 715*u(h) + 6*x(h).\nAnswer: -143*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2960 and 2870?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24 and 120?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kklkkkkklkkkk. Give prob of picking 2 k and 1 l.\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86798 is divided by 50?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of -i**4\/4 + i**3\/3 + i**2 - 5. Factor g(p).\nAnswer: -p*(p - 2)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 5 + 3755*n + 4*n**2 + 9 - 3747*n + 6 - 3*n**2. Give c(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 162 - 166. Is c greater than or equal to -2\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20443?\nAnswer: 20443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 0 + (1*(sqrt(1458) + -1 + -4))**2.\nAnswer: -270*sqrt(2) + 1480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 412331813?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -3*b. Let p(i) = 8*i**2 + 3*i - 3. Let y(m) = -105*m**2 - 40*m + 40. Let x(t) = 40*p(t) + 3*y(t). What is x(o(q))?\nAnswer: 45*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 54*d - 51*d + 6 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 605700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 8*s - 4*s + 4*s**3 - 2 - 9*s - s**2. Let x be n(-2). What is the tens digit of ((-16)\/x)\/(4\/322)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - 0. Let m(h) = -h**3 - h - 1. Let d(q) = 7*q**3 + 7*q**2 + 11*q + 3. Let u(x) = p*d(x) + 6*m(x). Let l be 128\/(-22) + 84\/(-462). Give u(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18919187, 3, 4 in decreasing order.\nAnswer: 4, 3, -18919187","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -64 divided by 9?\nAnswer: -64\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1783, 14.6, -1\/2, -3 in ascending order.\nAnswer: -1783, -5, -3, -1\/2, 14.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 300 a factor of 540317?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 48 + -42a3?\nAnswer: -425b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 5*o**3 - 157*o**2 - 67*o + 25. Determine a(32).\nAnswer: 953","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -15\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 907 is divided by 80.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1757 less than -5.380196?\nAnswer: -5.204496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 22?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.432 - -0.021. Let u = w + -0.053. Sort u, -8, 0.5, -2\/11.\nAnswer: -8, -2\/11, u, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*o**2 + 63*o - 579*o - 339*o - 221*o + o**2 to the form h*o + n + l*o**2 and give h.\nAnswer: -1076","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 + 5*l**2 + 11. Give s(6).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a milligram in micrograms?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -6*2*(sqrt(17) + 0 + 4).\nAnswer: -52 - 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-3)\/(-15))\/(-1))\/(88\/(-220))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 12) to base 5\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 791 - 788. Solve -2*g - 8 = v*h, 0*g - 3*h = -g - 4 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/2*(-9)\/459*-6?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.024764, 2, 0.\nAnswer: -0.024764, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (206\/(-4635)*-4365)\/(-2)?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (1 - 3) + (-23 - -23).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3\/11 + 16*f**2\/11 + 30*f\/11.\nAnswer: 2*f*(f + 3)*(f + 5)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 2*v**2 - 586*v + 8842. Calculate u(277).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -69 - -206. Let x = 215 - p. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 + 18*g**2 - 3*g + 82. Calculate d(17).\nAnswer: 320","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j**2\/6 + 12547*j\/3 - 157427209\/6 = 0. What is j?\nAnswer: 12547","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 13715370 rounded to the nearest one hundred thousand?\nAnswer: 13700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(3*5*(sqrt(13) - sqrt(117))**2 - -6*(sqrt(143)*-2)\/sqrt(11)).\nAnswer: -4680 + 72*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3\/5 (b) 85\/11 (c) 1\/109 (d) 20\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -4*s - 15. Determine l(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -320623685*g**4 - 718421761*g wrt g.\nAnswer: -3847484220*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 24671098861 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 6, 0.2, -12\/233?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 + -7. What is the remainder when -335*(-21 + 104\/5) is divided by x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*u**3 - 3*u**3 + 4*u**3)*(2 + 0 + 0 + 3*u)*(-6 + 2 - 1) as n*u + i*u**2 + s*u**4 + d*u**3 + z and give d.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4426 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d + 3*d - 3*d + (-d - 4*d + 4*d)*(2 + 1 + 4) + 2*d - 5*d + d)*(1 + 5 - 2) - 4 + 2*d + 4.\nAnswer: -30*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -3*a**2 - 11*a + 12. Let i be r(-4). Solve -6*j + i = -8*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 165 + -62. Solve -s*y = -102*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 1 + 3 = 0. Is (-2 - -1)\/j*166 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 1130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ai when two letters picked without replacement from {i: 1, v: 1, a: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in eleven eighths of a kilogram?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 932 a factor of 29575512?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.11 + -1391327308\nAnswer: -1391327308.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 192583269 divided by -21398141\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + b - 5 = 0, -25 = 5*k + b - 6*b. Suppose k = 2*f - 4, 7*y - 16384 = 5*y - f. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(18)*-3 + sqrt(18))*-3 + sqrt(18) + sqrt(18))\/(sqrt(600)*-4))**2 + -2)*-3.\nAnswer: 141\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3030 = 806*x - 413*x - 16392 for x.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2548024315?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/3833060 and -107\/9582650.\nAnswer: 19165300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -g**5 - 26953*g**4 - g**3 - 656597*g?\nAnswer: -20*g**3 - 323436*g**2 - 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 9*z**2. Suppose 2*m - 5763 = -s + 98, 8797 = 3*m - 4*s. Let d(o) = -2931 + m + 7*o. Determine q(d(i)).\nAnswer: 441*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 29 - (8 + 5) - 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 456729304?\nAnswer: 2, 5743, 9941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*k*v**4 - 825*k*v**3 - k*v**2 - 2*v**4 + 2*v**3 + 2255*v**2 wrt v?\nAnswer: 48*k*v - 4950*k - 48*v + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-44)\/(-22))\/((-3)\/(-7)*((-136)\/(-108))\/17)?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*d - 5. Let u be d*-28*-2*(-4)\/(-16). Solve 0 = -4*x + 34 - u for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -2*p - 4*g - 5, -10 = -5*g for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 2 = 2*y - 9, -4*y - 4*q = -32. Let s be 1*(y + -2) + 19. Suppose 5*z + s + 45 = 0. Is -12 at most as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 155740 and 1152190.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -1\/4 (c) 0 (d) 315 (e) 0.02 (f) -3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of j**5\/60 + 5*j**2\/2 - 2. Let g(t) be the second derivative of y(t). Let v(p) = -p + 0*p + 0*p. Calculate v(g(r)).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3181653 less than -51?\nAnswer: -3181704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -68, -124, -170, -206?\nAnswer: -232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 2*n - 9, -4*g = -3*n - 21 - 8. Suppose -w + t - 32 = -2*t, -w - 4 = 4*t. Let k = -16 - w. Solve -a + 3*u = 11, -g*a - k*u = -3*u - 25 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19041514?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 5*g - 28 = -3*j, 0 = j + 2*g + 7. Suppose -5*l - b = -39 - 3, -j*b = 3*l - 18. What are the prime factors of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14807 = 80*k - 147*k. Let a be (-1 + 0)\/(2\/(-26)). What is the highest common factor of k and a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((12\/14)\/(120\/84))\/(-1)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -2*y + 35. Let i(b) = 3*b - 70. What is 3*i(a) + 5*x(a)?\nAnswer: -a - 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) -3329 (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = 2*h + 6, 5*a = -3*h - 9 - 6 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 11 + -38 + 29 - -22 - 58\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p + 66 = 10*p. Suppose 0 = -v - 9 + p. Suppose -3*f + 14 = 4*w - 10, -f - 3*w + v = 0. Is f even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -387723223\nAnswer: -4\/387723223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(3\/2)*(f**(-2\/11)*f)\/f)\/((f\/f**(-2\/29))\/f*f\/f**(-7)) assuming f is positive.\nAnswer: f**(-4307\/638)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 AM and 8:16 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 224 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -25648300 rounded to the nearest 100000?\nAnswer: -25600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 - 4*u**2 + 2*u + 2. Suppose 193*y - 14 = 186*y. Calculate n(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -545, 553, 2373, 4915, 8179, 12165, 16873?\n\"Answer: 361*t**2 + 15*t - 921","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 913892 is divided by 1012?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 21507904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, -3, -617\/5 in increasing order.\nAnswer: -617\/5, -3, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-2\/45)\/(w*w\/(w*w**(-1\/5))*w)*(w**(2\/3))**(-4) assuming w is positive.\nAnswer: w**(-221\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)*-2*5 - sqrt(192)\/(1*sqrt(8)))\/(sqrt(1452)*2*5).\nAnswer: -sqrt(2)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/551 and -71\/1803.\nAnswer: 993453","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (9 - (8 - -2)) + 15?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u**(-2)*(u\/u**(-1\/12))\/u*(u**0)**(-42) assuming u is positive.\nAnswer: u**(-11\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 100*g**2*s - 871*g**2 + 3*s**3 with respect to s.\nAnswer: 100*g**2 + 9*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5506 = y - u, -2231*u = -3*y - 2232*u + 16514. Calculate the smallest common multiple of 3 and y.\nAnswer: 5505","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.132848 rounded to four decimal places?\nAnswer: -0.1328","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 376*u**2 - 377*u**2 - 11*u + 18*u**4 - u**3 + 12*u to the form j + w*u**2 + o*u + l*u**4 + d*u**3 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -7*z + 107. Let y be j(15). Which is the fourth smallest value? (a) y (b) -2\/11 (c) -0.2 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 2286555?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of -j**6\/60 + 21*j**4\/40 + 2*j**3\/3 + 34. Solve l(i) = 0.\nAnswer: -4, -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 688879, 688853, 688787, 688663, 688463, 688169, 687763, 687227?\nAnswer: 686543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/(-1 + 3) + -3 + 6. Let w(y) = 3*y**2 - 3*y - 1. Calculate the remainder when 48 is divided by w(c).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23 + -20. Suppose 3*t = n*o + 6*t, 0 = -o - 5*t - 20. Suppose -2 = u + c, o*c + 6 + 4 = 3*u. Solve u = -k + 3*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6600 and 52360.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 28*n**3*q**2*z - 80*n**3*q*z**3 + 3*n**3*z + n**2*q*z**2 + 41*n**2*z**3 - 9*n**2*z**2 + 3*n*q**2 + 2*z wrt n?\nAnswer: 168*q**2*z - 480*q*z**3 + 18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -136, -472, -828, -1216, -1648, -2136, -2692?\nAnswer: -3328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2298 - 2288. What is the smallest common multiple of (-12)\/(-7)*34\/(-8)*-14 and o?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p + 4. Let d(j) = 5*j + 15. Calculate -2*d(t) + 6*z(t).\nAnswer: -16*t - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/4, 421, 1, -0.2, -7, 1321?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 2*a + 2*a = 29, -5*a = -2*v + 5. Let q = -1 - -4. Suppose -3*s + 2 = k - q, s + 2*k - 10 = 0. Solve -v*z = -s*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14*3)\/((-1032)\/(-172)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(95) + sqrt(95)*1)*-6 - 5*(sqrt(95)*2 - sqrt(95)))\/(sqrt(180) + sqrt(180)*1 + sqrt(180) - (sqrt(5) + -5*sqrt(20)\/sqrt(4))))**2 + 1.\nAnswer: 5975\/484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - s - 400 = 0, 4*s - 262 = -4*o + 34. Let x(w) = -w + 5. Calculate the remainder when o is divided by x(-11).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor -x**4 + 2*x**3 + 12*x**2 + 14*x + 5.\nAnswer: -(x - 5)*(x + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 12*x**2 - 1. Suppose 0 = -103*o + 107*o + 48. Let d be (-2)\/(-7) + 178\/14. Let n = o + d. Calculate l(n).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*d + 251 = 40*d + 38*k - 162, -d + 4*k - 39 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 28563869\/681 + -41944. Which is smaller: c or 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9\/(-6)*(-4)\/3. Suppose 5*u + a = -3. Is (22\/4)\/(u\/(-2)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 616753575?\nAnswer: 3, 5, 913709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -46*l - 5. Suppose -b = 4*f - 60, -3*f + 7*f = 2*b + 48. Suppose -5*k + f = 29. List the prime factors of o(k).\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 156 and 1944.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 1:17 PM?\nAnswer: 9:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/15 of a century in months?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of -5*j**2 + 1\/12*j**4 + 0*j**3 + 0 + 0*j. Let i(v) = -5*v**2 - 6*v. Calculate 2*i(n) + 6*t(n).\nAnswer: -10*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 356 a factor of 66352348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*c = 12*c + 10, 9*b - 4*c = 28 - 2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24534 divided by -5.\nAnswer: -24534\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -60*o**3 - 2*o**2 + 320*o - 949. Give b(3).\nAnswer: -1627","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -56 - -56. Suppose -3*v - 2*t + 356 = m, v - t = -3*t + 116. Does 15 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45130193813.2 plus 0.29?\nAnswer: -45130193812.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 - 8*k**2 + 9*k - 2. Calculate j(7).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00555185 to 3 decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.03, -1\/3, -11?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 + ((-18)\/16 - 4\/(-32)). Let q be -2 - (8\/(-2))\/2. Suppose q*w - 1222 = -g*w. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 19*d**2 + 23*d + 1. Let j(f) = 94*f**2 + 114*f + 6. Let w(a) = -14*h(a) + 3*j(a). Factor w(t).\nAnswer: 4*(t + 1)*(4*t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 + 0 = -3*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 3:26 AM?\nAnswer: 7:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(75) + -1 + -5.\nAnswer: -3 + 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*t = 3*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 250419 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -16867.7296 rounded to the nearest integer?\nAnswer: -16868","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 4 + 13 + -38 - -8 - -22.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2784?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 5*m = -5 + 14, 0 = 4*m - 4. Suppose 2*g + 16 = -i*g, -3*t - g = -65. Calculate the remainder when t is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11766 + -1\nAnswer: 11765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 205 is divided by 54?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2251 is divided by 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 593 is divided by 47?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 127\/4 or 33?\nAnswer: 127\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -615 + 667. What is the highest common factor of 325 and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of 491*x**5\/20 + 212*x**4\/3 + 309*x. Find the third derivative of s(f) wrt f.\nAnswer: 2946","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-81)\/(-1) + -1 + (-12)\/(-2). Sort 1, -2, h.\nAnswer: -2, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11.5 times 3\nAnswer: 34.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 + 5*a**2 - a - 3. Let w = 1 - 2. Let c be (-1)\/((-12)\/15 - w). Let t be g(c). Solve 0 = 3*k + 5 - t for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -54452351*v**4 + 30*v + 10512?\nAnswer: -653428212*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, 0, 0.1, -2\/9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 9) to base 14\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c**4 + 71*c**3 + 740*c**2 - 812*c = 0. Calculate c.\nAnswer: -58, -14, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72) + (sqrt(72)*-1 - sqrt(72)) + sqrt(72))\/sqrt(9) + 3 + 0 + 3)**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5719145 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/12)\/(((-9)\/(-3))\/9)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*z**4 - 16*z**4 - 4*z**3 - 10*z**5 + 14*z**2 + 12*z + 2 - z + 3*z**5.\nAnswer: -(z - 1)*(z + 1)**3*(7*z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - -2. Let j = t - 17. Which is smaller: j or 0?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*b - 33*b + 74*b.\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30 + 21 + 9 + 11*p**2.\nAnswer: 11*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -2*h**2 - 101*h + 2366. Give a(27).\nAnswer: -1819","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/(-4)*(52900\/(-29095))\/((-2)\/(-22))?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2*o**2 + 5*o - 2. Let j(c) = 2*c**2 + 4 + 0*c**2 - 9*c - c**2 - 5*c**2. What is -3*j(p) - 5*u(p)?\nAnswer: 2*p**2 + 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, 42, 185, 448, 867, 1478, 2317?\nAnswer: 3420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -71\/5 + 703\/15. Let j = o - 32. Let t be (2828\/168 + -17)\/((-1)\/2). Which is the closest to -2\/3? (a) j (b) 1 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 + 6*y**2 + 33*y - 49. Let r be c(9). Suppose -3*u + w = -5, 36*u - 5*w + r = 31*u. Factor 0 - 1\/2*d**4 + 2*d**u + d - 5\/2*d**2.\nAnswer: -d*(d - 2)*(d - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 85359\/7 - 12195. Let h = 1 - 6. Which is the biggest value? (a) h (b) -2\/3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -2*m + 1. Let l be a(-2). Suppose 4*g + 3*i - 23 = 0, -4*i - 1 = -l*i. Suppose g*b - 1 - 59 = 0. What is b rounded to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-38))\/((-124)\/(-2356))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -26*x + 23*x - 5*d + 150618, 2*d = 5*x - 250999. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3\/7 - 370*p**2\/7 - 761*p - 2688.\nAnswer: (p - 384)*(p + 7)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 5*c = -10. Sort -1, 2, c in descending order.\nAnswer: 2, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of 0*a**2 - 25*a**3 - 105\/4*a**4 + 36\/5*a**5 + 4*a + 0 - 1\/2*a**6. Determine h so that r(h) = 0.\nAnswer: -2\/5, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 - 4*c**2 - 10*c + 7. Calculate s(6).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 173352.\nAnswer: 2, 3, 31, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-40)\/14*(-118)\/(-295)*(-13 + 7). Suppose 0 - 6\/7*r**5 + g*r**2 + 18\/7*r**3 - 12\/7*r**4 + 24\/7*r = 0. Calculate r.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 26 - -52.5. Let k = 83.5 - j. Let m be (-1 - 2)*1\/(-2). Which is the nearest to -0.02? (a) m (b) k (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1724195252?\nAnswer: 2, 13, 43, 683, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2314 (base 10) to base 15.\nAnswer: -a44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 2*r + 2 = -4, 0 = -r - 3. Solve x + x = k for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of r**6\/72 - r**4\/6 + 11*r. Let z(x) be the third derivative of f(x). Let k(t) = -t**2. What is k(z(l))?\nAnswer: -100*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.629914l to millilitres.\nAnswer: 7629.914","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1126.\nAnswer: 2, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6171)*-2 - sqrt(51))\/(1*sqrt(192) + sqrt(192) - sqrt(192)).\nAnswer: -23*sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*f**2 - 3*f**2 - 4*f**2 + (4 - 1 - 2)*(3*f**2 + 0*f**2 - 2*f**2 + (1 + 2 - 5)*(-1 + 1 - 2*f**2)).\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22574*y**2 + 0 + 0 - 22234*y**2.\nAnswer: 340*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -15*s + 2. Let f(o) = 10*o - 4. Let v(q) = -q + 1. Let j(y) = -f(y) - 3*v(y). Give 13*j(u) - 6*n(u).\nAnswer: -u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4334140 (base 6) to base 10\nAnswer: 214764","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -27907\/39 + 716. Let p = u - -1\/117. Let z be 1\/(-2)*(-1 - -3). Which is the second smallest value? (a) z (b) p (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-26)\/429*11)\/((-3)\/((-18)\/10)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -17 - 0 - -9 - 2156. Let p = -1195 - s. Does 57 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1075004005 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -105 - 42041326?\nAnswer: -42041433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1650 + 52*k + 1650)*(-4 + 10 + 10*k - 4).\nAnswer: 520*k**2 + 104*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of 181*n**4\/4 - 1377*n**3 - 2255. Find the third derivative of h(s) wrt s.\nAnswer: 1086","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*3*((sqrt(500) - (sqrt(500)*-1 + 0))**2 + 3 - (((sqrt(500) + 1)*-6 + sqrt(500) - sqrt(500)) + sqrt(500))*-4).\nAnswer: -17811 + 1800*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/27 at most 32.62?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 104 and 169?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 b when two letters picked without replacement from {p: 1, h: 1, i: 2, b: 1, x: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - 4. Suppose 4 = 2*t - 6. What is the third smallest value in -0.1, t, -5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 + 3*i + 133. Suppose 0 = 3*j + 4*y + 12, 3 = j - 2*j - y. Does 19 divide z(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24066416, -48132825, -72199234, -96265643?\nAnswer: -120332052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and (-24)\/(-108) + (-43)\/(-9).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 833, 831, 829, 827, 825, 823?\n\"Answer: -2*g + 835","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 73389.7 micrograms in kilograms?\nAnswer: 0.0000733897","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vhyhxxbkk. What is prob of picking 1 k and 1 x?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.06, 0.4, -1\/2, -48503.\nAnswer: -48503, -1\/2, 0.06, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 126, 199, 290, 405, 550, 731?\nAnswer: 954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2 + 1503*u + 97030.\nAnswer: -(u - 1565)*(u + 62)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 4)*(3*t**5 - 2*t**5 - 4*t**5) + 3*t**5 - 4*t**5 - t**5.\nAnswer: -5*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -6 + 30\/(-3) - -7. What is the remainder when 4\/((-4)\/15)*n is divided by 40?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(209)*-6 - 3*(sqrt(209) - sqrt(209)*-3))\/(sqrt(55)\/(sqrt(5) - 1*sqrt(125))).\nAnswer: 96*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of -3*g**5\/20 + 11*g**3\/3 - 49*g**2\/2 - 217*g. Differentiate x(z) with respect to z.\nAnswer: -9*z**2 + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -2.1378?\nAnswer: 0.1378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 269978507 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nqp when three letters picked without replacement from cccsbsqncsbp.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*x + 32 = -18*x. Let d be x\/14 - (-85)\/(-35). Let w = -7 - -3. Put w, 5, d in decreasing order.\nAnswer: 5, d, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -442 - -442. Suppose -255*p + 265*p - 460 = i. What are the prime factors of p?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7532244 and 97.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 78 + -41. Suppose -q + 96 = -n. Calculate the greatest common divisor of q and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 6*k + 5. Let s(y) = -y - 1. Let f(r) = a(r) + 5*s(r). Let d(m) = -m - 11. Let w be d(-7). Give f(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -79?\nAnswer: -316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*f + 25 = -6*f. Suppose -4*l + 3*l + 14 = 3*y, 5*y - 10 = f*l. Let u be 1 + 4*(l - 3). Let m(c) = c**2 + 2*c. What is m(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 42317*v**4 - 849384*v**2?\nAnswer: 1015608*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 63\/(-1575) + (-1098)\/50. What is the nearest to -1 in s, 4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2\/17 and 3\/(((-27)\/(-26))\/(-1)).\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + 5*d + 35 - 5, -3*q + d = 18. Let y be (-2)\/q + (-370)\/(-15). Suppose -v = 3*j - y + 6, -j - 5*v = 17. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*v + 11*v - 39*v.\nAnswer: -9*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 44651.32nm?\nAnswer: 0.00000004465132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of -l**5\/270 + l**4\/27 - 162*l**2. Determine b, given that i(b) = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(931) + 5)*-6 - (2 + (-3 + 1*sqrt(19))*1).\nAnswer: -43*sqrt(19) - 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-88)\/(-11)*89\/2. Let b be ((-70)\/(-3))\/(9\/81). Let x = o - b. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1196?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - -12034?\nAnswer: 12024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 99\/(-6) - -8 - 30\/(-60)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 289 - 495. Let x = -137 - j. Calculate the greatest common factor of 759 and x.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -337\nAnswer: 5\/337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 5*h**3 + 10*h**2 + 7. Let o(x) = -3*x**3 + 0 - 4 + 28*x - 14*x - 14*x - 5*x**2. Suppose 3*f - 2*w + 18 = 7, 3*w = -15. Give f*o(i) - 4*l(i).\nAnswer: i**3 - 5*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*a**3 + 245 - 245 + (0*a**2 - a**2 - 3*a**2)*(-a - a + 3*a) - 2 - 2*a**3 + 2 to the form j*a + g*a**3 + b*a**2 + t and give g.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -5 + (-8)\/(-4) - -42. Suppose g = d + 2*d. Let t = d + -6. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1414 and -78.7.\nAnswer: -111281.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ni when two letters picked without replacement from jjnip?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -155\/2 - -77. What is the nearest to 0.5 in h, -1, -3\/2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4853247 to the nearest integer?\nAnswer: 2203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 550102 and 182?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -172 (base 9) in base 6?\nAnswer: -402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 2*r**2 - 8*r - 16. Let a(z) = 3*z + 8. Let q be a(-4). Let c(s) = -s**3 - 5*s**2 - 5*s + 4. Let b be c(q). List the prime factors of l(b).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 + 8*j**2 + 7*j - 2. Let z be u(-7). Let g be ((-6)\/4 - -2)*z. Let k = 0 - 1. Do k and g have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-24))\/((324\/(-18))\/(-54)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 290 and 163312485?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from navayeb. What is prob of sequence anyv?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the second derivative of 0*w**2 - 1\/9*w**3 + 0 + 4*w + 7\/36*w**4. Factor a(k).\nAnswer: k*(7*k - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 11737008683 and 69.\nAnswer: 11737008752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, 2, 0, 264, 1 in increasing order.\nAnswer: 0, 1, 2, 3, 4, 264","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 68116020, 68116021, 68116032, 68116059, 68116108, 68116185, 68116296, 68116447?\nAnswer: 68116644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 - 4 = 4*i. Suppose -3 = 4*t + i. Let z(b) = b**3 + 5*b**2 - 4*b - 7. Determine z(t).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 1, -5, -76 in ascending order.\nAnswer: -76, -5, -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjamamaaajjmoajjjj. Give prob of sequence ajo.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 - 7*k. Suppose -6 = 5*l + 3*h, 0 = -3*l - 5*h + 3*h - 4. Suppose -v = 4*t - 18, -v + 3*t - t = l. Let r(q) = -q**2 - 6*q. Give v*j(x) - 7*r(x).\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114 is divided by 46.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -81 by 295.\nAnswer: -81\/295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -575*m**3 - 2*m**2 - 6*m - 3. What are the prime factors of p(-1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 144 and 1116?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5039\/30 - -861\/5. Find the common denominator of 137\/588 and y.\nAnswer: 2940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.9826626l?\nAnswer: 982.6626","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 3 = -4*c - 13, -3*c + 3*q = 3. Let l(f) = f**2 - 8*f + 6. Let n be l(6). Sort 1, n, c.\nAnswer: n, c, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 56064 and 473916?\nAnswer: 876","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 37, 0.4, -1\/5, 1, -1\/7 in ascending order.\nAnswer: -1\/5, -1\/7, -0.1, 0.4, 1, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 - 8*i**2 + 5. Let g = 12 + -4. Let b be p(g). Suppose 2*f - b*h = -0 - 4, 5*f = -h + 44. Calculate the least common multiple of 20 and f.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of -f**6\/60 - f**5\/30 - f**4\/8 - f**3\/3 - 128*f**2. Suppose 2*d = -2 - 2. What is p(d)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 8:28 PM?\nAnswer: 12:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of p**3\/3 + p**2\/2 - 1. Suppose 4*w - 447 = -307. Let j be 14\/w + 8\/5. Determine k(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-14)\/((-4)\/(0 + 40)) + -2.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + m**2 - 3 + 1 + 0*m**2)*(3*m + 7*m + 0*m).\nAnswer: 10*m**3 - 10*m**2 - 20*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -66 - -64. What is the tens digit of (-6)\/q - (-194 + -5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -6*b**2 - 40*b + 485. Let l(p) = -4*p**2 - 21*p + 243. Let h(z) = 3*a(z) - 5*l(z). Calculate the remainder when h(0) is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44328 divided by 5541?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 5.681479 micrograms?\nAnswer: 0.000000000005681479","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 741?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = -z - 6, 166 = 3*k - 3*z + 160 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does -127057 = -127001?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*s + 3*s + 5*g + 26, s - 2 = g. Let l = 1 - s. Suppose 0 = -4*m - 4, -5*z - l*m - 41 + 133 = 0. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7537260935 rounded to 4 dps?\nAnswer: 0.7537","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 397 - 393. Solve 0 = -f*m - 4*g - 4, -2*g + 0 - 2 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 - 8 = -3*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2782 and 286.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8332108*v**3 - 2178517*v**2 wrt v.\nAnswer: 49992648","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 + 6*y + 140. Give d(-10).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*l + 110*t = 114*t + 1340, 4*l - 5*t - 62 - 27 = 0 for l.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*j**3 - 977446204*j**2 - 39808378730565800*j - 26538918719290000 = 0. Calculate j.\nAnswer: -81453850, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = 3606 + 3516. What are the prime factors of i?\nAnswer: 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/6 + 143\/39. Suppose -2*w + v + 64 = 0, -z*w = -2*v + 5*v - 105. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z - 1. Let k(i) = -6 - 6 + 2*i - 5 + 2. Let p be k(7). Let w(a) = a**2 - 3*a - 2. Let u(c) = p*w(c) + 2*d(c). Calculate u(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*((-1)\/(4\/(-4)))\/1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 8 - 18. Put 4, k, -7 in ascending order.\nAnswer: -7, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -1.0112.\nAnswer: 3.0336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 393200 and 2200?\nAnswer: 4325200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y**2 + 23*y - 9. Determine v(-12).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s. Let w(h) = -h - 71. What is u(w(c))?\nAnswer: -c - 71","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 8553118*u - 11. Let i(c) = -2*c + 10. Let x be i(8). Let a be g(x). Let v = a + 36218719. What is v rounded to the nearest one million?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5*r + 2*r + 8*r)*(2*r**2 - 2*r**2 + r**3) + (r**2 + r**2 - r**2)*(-2*r**2 + r**2 + 0*r**2))*(408*r + 72789 - 72789).\nAnswer: 1632*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dx when two letters picked without replacement from {x: 2, l: 2, o: 1, w: 1, d: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000074856 rounded to six decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w**(-18)*w))\/w)**(1\/25) assuming w is positive.\nAnswer: w**(17\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of -11*o**6\/6 - 10*o**3\/3 + 18. Find the third derivative of z(p) wrt p.\nAnswer: -660*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, r: 1, m: 1}. What is prob of picking 1 r and 1 m?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 256390 at most as big as 256393?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4*(-18)\/(-48))\/((-2)\/(-12)). Let z be 16 + (3\/t)\/(1\/6). Solve -z*c + 7*c = 14 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 2*v + 53, 4*w + 4*v + 39 = 203. What is the remainder when 4496 is divided by w?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - 32?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -71 + 215\/3. Let q be 4\/3 - (-4)\/(-4). Let j = -1 + 2. Which is the nearest to q? (a) 0.5 (b) o (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-18 - (0 + -2)) - (120 - 114)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 26816216?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1\/1693104?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -466154584 + 723144584. What is x rounded to the nearest one million?\nAnswer: 257000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*b - b + 8 - 2*b)*(-b**2 - 4*b**2 + 26*b**2)*(b - b + 2*b) as l*b + j*b**4 + v*b**3 + y + f*b**2 and give j.\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2275.\nAnswer: 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a tonne in kilograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 1. Let o(l) = l**3. Let u(t) = t + 10. Let w be u(-9). Let p be o(w). Let f(g) = -g. What is p*f(q) + 2*c(q)?\nAnswer: -q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (1 + 2 + 0)) + 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*j = 85*j + 76, -54 - 10 = -3*y - 4*j for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 1:34 PM?\nAnswer: 10:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23.524 - 0.024. Let g = q - 23.769. What is g rounded to 2 decimal places?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136946 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3002 - 1176299523?\nAnswer: -1176296521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -3483*v + 7061*v + 2*v**2 - 3487*v - 239. What is x(-48)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 113*x**3 - 276*x - 7*x**3 + 538*x - 262*x - 15*x**3.\nAnswer: 91*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.9 and 1138.\nAnswer: -1024.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/1112682 and 24\/927235.\nAnswer: 5563410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = -j + 5*o + 61, 4*o - 15 = -5*j. Which is bigger: j or -111?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 - 8 - p + 2*p**2 - p**2 - p**2 + 3*p**2 + (-4 + 6 + 0)*(2*p**2 - 2*p + 2*p) - p**2 + 2*p**2 + p**2 to the form f*p**2 + k*p + a and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a microsecond in nanoseconds?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2165?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -92*i + 40*i + 52*i - 17 + 27*i**2 as c*i + u + t*i**2 and give t.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00028515741 rounded to 7 dps?\nAnswer: 0.0002852","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1.202 - 14\nAnswer: -12.798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + -54236?\nAnswer: -54232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 389530?\nAnswer: 2, 5, 38953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 3:40 AM?\nAnswer: 8:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -2*v + 4. Let c be 9 - (-2 + 6 + -1). What is x(c)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 562 divided by 1.\nAnswer: 562","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 12\/30 - (-4770778)\/280. Let q = c - 17036. What is the common denominator of q and (-4)\/(-30) - 43462\/(-11160)?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert b6c7 (base 16) to base 10.\nAnswer: 46791","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 2*c = 28, 48*p - 43*p = -3*c + 41 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.71 - 0.21. Let o = -0.18 + 0.08. Let k = 1.9 - o. Which is the smallest value? (a) k (b) -5 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 113342104103 - 2?\nAnswer: 113342104101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 51*w + 12*w - 328*w - 3975 for w.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add -140 and -22.94228.\nAnswer: -162.94228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 942 is divided by 36?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1211221122202 (base 3) in base 2?\nAnswer: 11110000000010000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 871 + -881. Let w be 16\/u + 2 + (-23)\/345. Is w greater than or equal to -3\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20058, 160525, 541788, 1284243, 2508286, 4334313, 6882720?\nAnswer: 10273903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 4777735?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*d + 17*d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of -j**3\/3 + 17*j - 17. Let m be k(5). Let d(i) = -i - 10. What is d(m)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -42.4 - -42. Let z(q) = q**2 + 6*q - 25. Let n be z(-11). Suppose -n*w = -32*w + 2. Sort h, 3\/5, w in descending order.\nAnswer: w, 3\/5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/594448 and -73\/288158668.\nAnswer: 1152634672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) 2 (b) -2 (c) 16 (d) 746\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 3*h - 2. Let p(c) = -4*c + 2. Let y(q) = 5*k(q) + 4*p(q). What is y(6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/10 and (5\/30)\/((-10)\/(-201)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) - sqrt(44))**2 + -3 - (1 + (sqrt(11) - (sqrt(11) + 0)))**2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -d + 2500, 34*d + 521 = w + 30*d. Solve w*b = 493*b + 16 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2980 and 298.\nAnswer: 2980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 11677?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 53*b - 51*b - 20. Solve -7*y + 5*d = -b*y - 2, 5*d + 6 = -4*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.5 - -0.1. Let q(l) = -11*l + 123. Let k be q(6). Let r be ((k\/(-342))\/((-4)\/6))\/(-1). Sort c, r, -1 in descending order.\nAnswer: r, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 979037 is divided by 203?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 34 = y. Suppose -2*d = -6 + 8. Calculate the remainder when y is divided by (-2 - d) + (10 - 4) + 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 - ((-1476)\/(-36) - 40).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(396)*4)\/((sqrt(20) + -1*sqrt(20) - sqrt(20))\/sqrt(5)))**2.\nAnswer: -3168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1666 + -1536. What is the remainder when 320 is divided by r?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -830*r - 4995 + 15 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52)*-2 + (sqrt(13) - ((3 + sqrt(208))**2 + sqrt(13))))*-6 - (2*(3*sqrt(13))**2 + (sqrt(637)*2)**2).\nAnswer: -1480 + 168*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-3 - (-2 - 2)) + 3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30622 divided by -96.\nAnswer: -15311\/48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/9*((-13)\/2 - -5). Suppose 10 = l - 2*l. Let k(g) = 2*g**2 + 8*g + 8. Let x(m) = m + 1. Calculate c*k(d) + l*x(d).\nAnswer: 2*d**2 - 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -12*m**2 - 5501*m + 25. Let k(a) = 38*a**2 + 16504*a - 80. Calculate -5*k(v) - 16*n(v).\nAnswer: 2*v**2 + 5496*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.4621365 rounded to 3 decimal places?\nAnswer: -6.462","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2276*o = 2291*o + 510 for o.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by 1412618\nAnswer: -4\/706309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 131968 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: Suppose -5*b = 4*b - 3*b. Let x = -1\/3 - 0. Sort x, -0.1, b in decreasing order.\nAnswer: b, -0.1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of -8*k - 10\/33*k**3 - 1\/66*k**4 - 25\/11*k**2 + 0. Determine a, given that f(a) = 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 36 = -16 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 4130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -2\/7, -3\/2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*i**2)*(5*i**2 + i**2 - 3*i**2) + 173*i**4 + 184*i**4 - 284*i**4.\nAnswer: 79*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 - -8.3. Let t = -0.08 + -0.12. Let d = p + t. Which is smaller: -1\/2 or d?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of -1\/3*j**3 + 2*j + 0 - j**2. Is o(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 11695, 23386, 35077, 46768, 58459, 70150?\n\"Answer: 11691*s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -106 (base 14) to base 15.\nAnswer: -d7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/84*-3)\/(6\/21)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 160 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of b**3*v**2 - 1262*b**3 - 2*b**2*v**2 - 1859*b**2*v wrt b.\nAnswer: 6*v**2 - 7572","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -125.27 + -0.0672101.\nAnswer: -125.3372101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of n**8\/448 - n**5\/120 + 2*n**4\/3 + 11*n**2. Let l(d) be the second derivative of f(d). Calculate l(-1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w**4 + 14*w**4 + 3*w**4 + (-16*w**2 + 3*w**2 - 16*w**2)*(-w**2 + 0*w**2 - w**2).\nAnswer: 73*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3433341 (base 5) to base 2\nAnswer: 1111000100011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10*((-2)\/(-10) - 1). Calculate the common denominator of x\/(-20) - 98\/(-20) and 11\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13751? (a) 0.1 (b) 2 (c) 4 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15 + -6 - -1) + -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 9348453?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87931 is divided by 2001?\nAnswer: 1888","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + 10056233?\nAnswer: 10056226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11531\/6463 + -24\/281. Find the common denominator of (5\/(-84) - (-2)\/(-24))*-1 and w.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4.71 or 0.062784?\nAnswer: 0.062784","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 - 11*b**2 - 9*b + 6. Let i = 142 + -152. Let z be n(i). Sort 3, z, 0, -10 in decreasing order.\nAnswer: 3, 0, z, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 266.7 + -266.3. What is the nearest to 13\/2 in -4, n, -0.3, 0.2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-22)\/4 - 3\/(-6)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2502871 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-0.46.\nAnswer: 1.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(68)*-4 - sqrt(68)) - (-5 + sqrt(68)*1 + sqrt(68)))**2*6*-2 + -3.\nAnswer: -264687 - 4320*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v**2\/7 + 194816*v\/7 - 2333760 = 0.\nAnswer: 84, 48620","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a and 1 i when four letters picked without replacement from ariararaaaaaaaa?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 128142963 - 128142993.4267078. Let n = 30.5057 + c. Let i = -0.079 + n. What is i rounded to six dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(5) - sqrt(25)\/(-4*sqrt(5))) + (sqrt(5) - (0 + 4*sqrt(5))))**2 + ((sqrt(120)\/sqrt(2)*-4)\/((1*sqrt(96) + sqrt(96))\/sqrt(8)))**2.\nAnswer: -85\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 7\/8 of a millennium?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*f = 58*f + 28. Let p(i) = -i + 2. Determine p(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - (12 - 1 - 11)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a tonne in kilograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + 1)\/((-45)\/(-30))*(-24 - -6)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 5*g. Let c(w) = 4*w + 1. Calculate -4*c(b) + 3*j(b).\nAnswer: -b - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the first derivative of 2*f**3\/3 - 5*f + 2. Let m(v) = -2*v**2 + 4. Let o(q) = 2*k(q) + 3*m(q). Suppose o(u) = 0. What is u?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 411904 is divided by 314?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 3*a - 4. Let w be z(3). Suppose -w*j = 2*q - 678, -243 = 5*j - q - 924. Is j a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 452814383 * 0.3\nAnswer: 135844314.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*a = -23*a + 42. Let u be a*(10\/2 - -10). Suppose -3*s + 2*w + w - 6 = 0, w - 2 = -3*s. Solve s = -4*f - f - u for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52 = u + 5*m, 7*u - 8*u + 3*m = 28 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3770 - 100 = 61*a + 29*a for a.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**3 + 4*r**3 - r**3)*(-2*r + 2 - 2 + (-1 - 1 + 1)*(r + 3*r - 2*r) - 7*r + 0*r + 4*r).\nAnswer: -7*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 + 45*x**2 - 89*x + 141. Determine s(43).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -248*q + 73 - 73 - 240*q + 736*q - 247*q.\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2 + 8*v - 25. Let j(o) = o**2 - 24*o + 93. Let r be j(18). Calculate the remainder when p(r) is divided by 34.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-112 + 112 - 37*m)*(-2*m**2 - 3*m**2 + 4*m**2) + 3*m**3 + 0*m**3 - 5*m**3 - m**3 + 2*m**3 - 3*m**3 - 2*m**3 + 0*m**3 - 5*m**3.\nAnswer: 26*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let c = 560 + -432. Let o = -26012.79441 - -26140.796. Let y = c - o. Round y to four decimal places.\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 5*n + 4102 = -600, -n - 7036 = -3*d. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (135\/162)\/((-10)\/(-8)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/7 (b) -0.79 (c) 2 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u = 3029 - 117. Let f = u + 673. What is the hundreds digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 1. Let i(d) = d**3 - 5*d**2 - 3*d + 7. Let q(h) = i(h) - 4*j(h). Suppose -3*p + 2*g - 14 = -6*p, 4*p + 5*g - 14 = 0. What is the units digit of q(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 22*h**2 - 72. Let y(l) = -13093*l. Calculate v(y(b)).\nAnswer: 3771386278*b**2 - 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 10*x**2 - 43*x - 21. Let y(g) = -22*g**2 + 87*g + 43. Let v(q) = -13*u(q) - 6*y(q). Let f be v(-18). Which is the nearest to 6? (a) f (b) -5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 638329*o - 45162 = 638715*o for o.\nAnswer: -117","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4403444115?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiwgk. Give prob of picking 1 w and 1 k.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Do -691050 and -691058 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 15061 less than 15057?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (80*k**2 + 2*k**2 + 115*k**2)*(2 + 1 - 2) + (3 - 2 + 0)*(-3*k**2 + 3*k**2 - 2*k**2) - 4*k**2 + 42 - 42.\nAnswer: 191*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of -7*v**5\/20 - 2*v**3\/3 - 5*v - 7. Let j(w) be the first derivative of o(w). Find the second derivative of j(q) wrt q.\nAnswer: -42*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25*i**3 - 13985*i**2 + 79160*i + 33900.\nAnswer: -5*(i - 6)*(i + 565)*(5*i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvhvvhvvhvv. Give prob of picking 1 v and 2 h.\nAnswer: 27\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -387, -4, 79864.\nAnswer: -387, -4, 79864","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2253\/62 + -15647\/434. Suppose d + 2*d = 5*r + 23, d + 3 = -r. Which is the closest to 0? (a) y (b) -29 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 0*g - 11 + 4*g + 5*g - 3*g. Suppose -5*a = 20, -3*a + 12 = -z + 4*z. Is c(z) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/6936 and 101\/578.\nAnswer: 6936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*u**2 - 3 - 4*u**2 + 4 - 2 + 2*u**4 in the form o*u + q*u**2 + l*u**3 + m + p*u**4 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2, -0.7, -2\/3, -596\/11, -3, 0, -15\/8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 64*r**2 + 3468*r - 107. Is f(-56) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -82.35*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2191276403 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -115 + 802\/7. Let y = -181\/696 - 10\/87. Which is the closest to 2\/5? (a) t (b) y (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -92242 (b) -4 (c) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of -7*i**4\/4 - 49*i**3\/3 - 340. What is the third derivative of t(h) wrt h?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (5*-3*sqrt(135)*3)\/((sqrt(125) - sqrt(125)*-2*5 - sqrt(125)) + sqrt(125)).\nAnswer: -27*sqrt(3)\/11 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 3*a - 7430 - 1739 = 0, -4*a = w - 4587. List the prime factors of w.\nAnswer: 4583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 + 3. Let p be w(0). Suppose -n - n - p*q = 42, -n + 4*q = 10. Does 17 divide ((-204)\/n)\/(2\/3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -29 - (-5 - (12 + -16 - -12))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) - (sqrt(13) - (-3 + -1 + sqrt(13) + sqrt(13)))) + 4)**2.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -667, -1521, -2553, -3853, -5511, -7617, -10261, -13533?\nAnswer: -17523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -455*g**2 - 4*g. Let j(w) = -240241*w**2 - 2114*w. Determine 2*j(q) - 1057*l(q).\nAnswer: 453*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1\/12 (b) -2 (c) 5 (d) 35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 10:07 PM?\nAnswer: 11:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d**3\/17 - 8*d**2\/17 - 6*d\/17 = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 6 = -4*z. Let l(f) = 5*f**2 - 3*f. What is the units digit of l(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a kilometer in centimeters?\nAnswer: 87500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2061015070 to the power of 1\/4, to the nearest integer?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 89 = -88 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 58*b**2 + 6*b + 2*b**4 - 4*b**3 + 7 - 53*b**2 - 3*b + 7*b**3 to the form p*b**3 + s*b + d + h*b**2 + j*b**4 and give h.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -0.4, -2\/431, 5388, 1\/12.\nAnswer: -2\/3, -0.4, -2\/431, 1\/12, 5388","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 535 (b) 0.3 (c) 985\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 5*f + 205, -3*k - 2*k - 4*f - 210 = 0. Let z = k + 46. Which is the third biggest value? (a) -2\/11 (b) 4 (c) z (d) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.319, -0.2, -17, -8, 3\/53?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 z when two letters picked without replacement from {z: 2, r: 3, m: 3, u: 9, g: 1}?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -223354.39467 minus 1321?\nAnswer: -224675.39467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 u when three letters picked without replacement from {g: 19, u: 1}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:21 AM and 8:04 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 PM and 2:27 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n - 47 = 5*h - 2, -4*h = n - 22 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - 18a2?\nAnswer: -18a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -2*x**2 - 15*x - 55. Determine n(-6).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/((-28)\/(-15)) + 4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 - 28*k + 185. What is w(17)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -776720 divided by -20?\nAnswer: 38836","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 121824 and 84726?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 1.6 = 127258?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 126 - 256. Let i = r - -131. Calculate the greatest common divisor of 17 and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*(-4)\/132*-3. Which is the third smallest value? (a) -2\/3 (b) 1 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -616 (base 8) to base 15\nAnswer: -1b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -3 (c) 228\/193\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 - -17. What is the remainder when 57 is divided by h?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in 0.2, 0, 1\/3, -1.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 + 7*z**2 - 8*z - 15. Let h be c(-4). Suppose -5 = 7*f - 8*f. What is the greatest common factor of f and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22)\/6 + (-704)\/(-66).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*d + 96 = -25*d. Suppose -3*j + d = -3*y, j - y + 16 = 2*j. What is the remainder when j is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 - 135*g**2 + 279*g + 724. What is p(-137)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 62\/(-4) + -9*26\/(-117) and -83\/82.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -333 + 2037. Suppose 0 = -5*r + 8*r - s. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 26*f + 2292. Let y be n(-88). Solve 1 = -5*m - y*k, 0*m - 3*m - 2*k = 1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*n - 43 - 100 = 0, -26*d + 3*n = -29*d + 48 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2*j**3 - 7*j**2 - 2*j + 7. Let i be r(-2). Let g(z) be the third derivative of -5*z**4\/3 + z**2. What is the units digit of g(i)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 2*c = -4. Let m(f) be the first derivative of 11*f**3\/3 + f**2 - f + 13. Give m(c).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*c**4 + c**4 + c**4)*(4 + 4 - 4)*((5 - 6 + 4)*(-7 - 7 + 2) + 0 + 0 + 1 + 2 + 1 - 1)*(-7 + 2 + 1).\nAnswer: -1584*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -195331.6767 to the nearest 10000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2083\/7 - 293. What is the common denominator of 5 - ((-1)\/4 + 376\/96) and l?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -1 (c) -0.5 (d) -11\/4 (e) -296\/5 (f) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (12\/(-9))\/((-2)\/24) and (-92)\/(-12) + 3\/9.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4439 and 92?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -38*o**2 + 228*o - 8. Determine m(7).\nAnswer: -274","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 2:00 AM?\nAnswer: 12:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from {h: 3, u: 2, p: 1, j: 1, z: 3, b: 1}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 10504926400 rounded to the nearest 1000000?\nAnswer: 10505000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -3*a**2 + 10*a + 5. Let d(r) = 3*r**2 - 9*r - 6. Let u(z) = 4*d(z) + 3*n(z). Suppose u(i) = 0. What is i?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-4 + -25 - -13) - -19?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2662 - -5113?\nAnswer: 11105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1197 and 20538?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 + i**2 - i + 10. Let f be j(0). Suppose 0*n - 20 = -5*n. Suppose 4 = n*w - 12. Solve -w*q - q = -f for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -170 = -2*r - 0*r. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 + t**2 + t - 1. Let z be h(0). Let n be (-4)\/z - (-2)\/(-1). Let c be (4\/(-15))\/((-4)\/10). Which is smaller: n or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 5) to base 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 13947792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 288 = -90*h, -21*h = 5*c - 60*h + 22*h + 15*h + 84 for c.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010011 - 10100111011010001?\nAnswer: -10100111100100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -10*h + 24. What are the prime factors of y(-10)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r, 1 x, and 1 d when four letters picked without replacement from {m: 3, f: 3, d: 1, x: 3, r: 2, y: 2}?\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 3*k - 48 = -93, 0 = 4*q - 2*k - 166. Does q = -17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/4 - 2)*-2. Suppose 2*k = 2*r + 16, -5*k + 7*r - 3*r = -40. Determine m, given that 2*m**4 + 0*m + k*m**2 + 6*m + 10*m**f + 3*m**2 + 3*m**2 = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u - 6*u + 4*u + (-1 - 2 + 4)*(-5*u - 6*u + 5*u))*(-1 + 3 - 23)*(-7 + 0 + 4).\nAnswer: -441*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z + 4. Suppose -q - 15 = -4*o, 0*q + 3*q = 2*o - 15. Let y be j(o). Differentiate -4*n**3 + 7*n**3 - y + 2*n**3 wrt n.\nAnswer: 15*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 - 37*g**2 + 11.\nAnswer: -37*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 26*o**2 - 3. Let j(v) = -v**2. Determine u(j(z)).\nAnswer: 26*z**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 44298?\nAnswer: 44298","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21) - (sqrt(21) + -6*sqrt(63)\/sqrt(3)))\/(-2*sqrt(147)) + -1 + sqrt(35)\/(sqrt(20)\/sqrt(4)) + 2.\nAnswer: 1 + 4*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6020250023 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -125 + 28 - (202 + -238)?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 q when four letters picked without replacement from qssqqsqssqqqq?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (62150\/44)\/(-25) - (20\/(-8) - (-4 + 1)).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1405 divide 302434680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 - 58 - (1 - (-2)\/2). Let d = f - -65. Let x(z) = -6*z + 6*z + 9*z. Calculate x(d).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 4*k**2 - 2*k. Let x(h) = -h**3 - h**2 + h. Let b = -132 + 131. Suppose -4*z = -12, -14*g - 8 = -13*g - 2*z. What is b*l(f) + g*x(f)?\nAnswer: 2*f**3 - 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 15*(-63)\/(-13230)*1*-72?\nAnswer: -36\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -12 - (2 + (-1 - (11 + -3))) - 78 - 6\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n**2\/5 - 1844*n\/5 - 850084\/5 = 0. Calculate n.\nAnswer: -922","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:44 PM and 8:25 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27, 19, 23, 45, 91, 167, 279?\nAnswer: 433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 6850, 4914, 1680, -2858, -8706, -15870, -24356?\n\"Answer: -c**3 - 643*c**2 + 7494","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3250200, -6500400, -9750600?\n\"Answer: -3250200*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14122086?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, -24\/2711, -176?\nAnswer: -176","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 3, 2, -4, -128 in increasing order.\nAnswer: -128, -4, 2, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((-2*((-2*sqrt(76)*-5 - sqrt(76)) + sqrt(76)))\/((sqrt(48)\/sqrt(2))\/sqrt(6)*-1) + 4).\nAnswer: 16 + 80*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 347974.8nm in micrometers?\nAnswer: 347.9748","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5 + -3 - -9 - 99\/(-60) and -37\/195.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 6726611 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, 259, 0 in increasing order.\nAnswer: -3, 0, 2, 259","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -400*n - 18011 = 1189 for n.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(0 + 2) + -9 + 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 + 5*z - 4. Suppose -y - 10 = -0. Let m = -13 - y. Determine n(m).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 65 and 364?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4\/181 - 318\/1991. Let n = 31\/60 + 3\/20. Let v = -9 + 13. Which is the nearest to 0.1? (a) s (b) v (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 5*r + 7029 = 6986, -41*r - 205 = 0 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 71 - 70.8. Let g = -6850\/9 - -5773\/9. Let l = -119 - g. Which is the nearest to -2\/3? (a) n (b) l (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7559?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p - 2*p - 2*p)*(7 - 1 - 4)*(-14 - 1 - 1)*(-2 - 3 + 9).\nAnswer: 256*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10.214 - -10.514. Sort 2\/17, -2, u, -0.3, -3 in decreasing order.\nAnswer: u, 2\/17, -0.3, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 56 = l + 3*l, 3*l = j + 27. Let a be (6\/j)\/((-6)\/(-4)). Put 3, -8, a, -1 in increasing order.\nAnswer: -8, -1, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, 1031.\nAnswer: 2, 3, 1031","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -8*a**2. Let u(t) be the second derivative of -t**4\/12 - 13*t. Calculate x(u(l)).\nAnswer: -8*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 21 + ((-150)\/(-24))\/((-10)\/16). Let k(u) = -2*u**2 - 3*u - 3. Let o(b) be the first derivative of 10*b**3\/3 + 8*b**2 + 16*b + 1. Give h*k(t) + 2*o(t).\nAnswer: -2*t**2 - t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24 - -18) + 10 + -37.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20607.3 - -20607. What is the biggest value in -18, 181, v?\nAnswer: 181","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 76121720 or 76121719?\nAnswer: 76121719","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -159.1 + 159. What is the closest to -1\/10 in 1, k, -2\/3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 1\/7, -2, -0.27?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 4257?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000618 rounded to five decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(-9) + 16\/(-30). Let b be (-75)\/(-12) + (-174)\/29. What is the closest to -0.06 in q, 4, b?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 - 24*i**2 - 44*i - 28. Let l be q(-22). What is the units digit of l\/6*(3 - 18*2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 352341?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nxnneynnyncceyr. Give prob of sequence cyc.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -535107*j**3 - 4*j + 1070215*j**3 + 4*j - 535107*j**3.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 4*y + 10 = 0, -4*s - 3*y = 6. Let p = -4.1 + 4.4. Put s, 0.2, p in descending order.\nAnswer: p, 0.2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 29*k**2 - 12*k - 175. What is the units digit of w(-22)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + -11. Let m = -4 - y. Is m\/2 - 81\/(-6) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 180664 and 968.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-2 + (sqrt(2) - (3*sqrt(50))**2)) + -3 + ((sqrt(128) - sqrt(128)*-3) + 1 - (3 + 3 + sqrt(128)))**2.\nAnswer: -1086 - 235*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 824624*r**2 - 824624*r**2 - 2685*r**3.\nAnswer: -2685*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/1223764 and 93\/1576.\nAnswer: 2447528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 AM and 2:03 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 150 divided by -3\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -621, 1, 0, -2, 4.\nAnswer: -621, -2, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 740.396 tonnes to nanograms.\nAnswer: 740396000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*d - 2*d + 0*d in the form t*d + f and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 + 6*m**2 - 8*m - 9. Calculate v(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 - 12*z - 30. Let r = -24 - -28. Suppose 2*u - 4*i = 30, -2*u + u + r*i = -15. Let n be g(u). Solve 3*l + 5*c + 25 = 0, l + 3*c + n = 2*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*y + 5*y - 4*y)*(-1 + 2*y + 1) - 2*y**2 - 1 + 1)*(4 - 1 - 1) - 2 - y**2 + 2 + (3 + 3*y - 3)*(67 - 67 + 10*y) - 3*y**2 + 6*y**2 + 3*y**2.\nAnswer: 23*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 4*k. Let a(p) = 3869*p. Calculate a(h(l)).\nAnswer: 15476*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24564295.\nAnswer: 5, 7, 701837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13458, 26870, 40282, 53694, 67106, 80518?\nAnswer: 93930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -b + 3*b. Suppose -b*q + 60 = q. Solve -q + 37 = -5*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 + 28*r + 217. Calculate i(37).\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1728 and 962496.\nAnswer: 962496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -58*d - 2*d**2 - d**2 - 46*d + d**2 + 103 + 3*d**2 = 0. Calculate d.\nAnswer: 1, 103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 662647 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2 + 1. Suppose 2*o + 2 = -0*j + 2*j, o + 10 = 4*j. Let r be k(o). Let d be 11 - -1*(r + 1). Solve -4*a + d = 1 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -5*k - 15. Let y(q) = -5 + 3 - 12780*q - 12 + 12776*q. Determine 5*x(n) - 6*y(n).\nAnswer: -n + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 862 != -432237?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -77953\/5 - -15468. Let k = g + 123. Let z = -1 + 1.2. Which is the nearest to -2\/5? (a) k (b) 3\/7 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1255949*o = 1255822*o - 3556 for o.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fe when two letters picked without replacement from efsffsssfee.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 77050779 and 7572.\nAnswer: 1893","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -6*g**3 - 1652*g**2 - 643*g - 25578. Determine l(-275).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 AM and 8:27 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2291665 to the power of 1\/2, to the nearest integer?\nAnswer: 1514","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106*h**2 + 1 - 16 + 15.\nAnswer: -106*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -720558 or -720559?\nAnswer: -720558","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a week in hours?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1694121 times 2?\nAnswer: 3388242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38537593?\nAnswer: 71, 542783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1349178476, 1349178477, 1349178478?\nAnswer: 1349178479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -9. Let m = w - -2. Suppose 72 = -5*z + m*z. Calculate the least common multiple of z and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11\/(99\/6))\/(44\/12)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1061 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - (-15 + 14) - 11) + 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8579 a factor of 149146571?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**2 - 8*p + 10. Let u be r(7). What is the second derivative of -16*x + 10*x - u*x**3 + 4*x wrt x?\nAnswer: -18*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*i**2 + i**4 - 25*i**3 - 3 - i**2 + 2*i**2 + 20*i**3 to t*i**2 + z*i + k*i**4 + y + b*i**3 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 8375445 to the power of 1\/2, to the nearest integer?\nAnswer: 2894","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 9 + 1 + -6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 4*y = 4. Let j be y + -6 + 1 + 3. Suppose j*x + 0*x = -3*v + 45, -4*x = -4*v + 40. Is v a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 + 7*c - 4. Let a be p(-9). Let f = a - 9. Let s = -1.9 - -2.1. What is the closest to 1 in 0.02, s, f?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, e: 1, w: 4}. What is prob of picking 2 t?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2668765 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p + 1. Determine k(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 PM and 10:35 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -5*v**3 - 7*v**2 - 11*v + 1. Is y(-2) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -m - 2*m**4 + 6029*m**3 - 178*m**2 + 35*m**2 + 144*m**2 as p*m**3 + t*m**4 + n*m + l + b*m**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 50\/18 - 6\/(-27). Differentiate 2 + 5*b**t - b + b - 11*b**3 wrt b.\nAnswer: -18*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -0.02, -3, -14?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -5*f + 13. Let h be q(-7). Calculate the greatest common divisor of h and 432.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + 6?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/357682 and 123\/364.\nAnswer: 5007548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -180 divided by 8.\nAnswer: -45\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -88963805 divided by 1?\nAnswer: -88963805","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 423.5 + -423.8. Which is the fifth biggest value? (a) 3\/2 (b) g (c) 0.4 (d) 8.2 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the first derivative of -76\/5*c**5 + 144 + 0*c**3 + 0*c**4 + 0*c**2 + 70*c. Differentiate w(a) wrt a.\nAnswer: -304*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 177 - 182. What is the closest to 2 in -0.5, 5, b?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(204)*3*-4)\/(sqrt(144)\/sqrt(3)))**2 + ((sqrt(170) + 2*(sqrt(170) - (sqrt(170)*1 - sqrt(170))))\/(-1*sqrt(30)\/sqrt(3)))**2.\nAnswer: 765","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/4))**18*(i*i\/i**1)**(-1\/4)*((i*i**1*i*i)**(2\/13))**(4\/11) assuming i is positive.\nAnswer: i**(2559\/572)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.802 times 173.86?\nAnswer: 2225.75572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21826?\nAnswer: 2, 7, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 659 a factor of 193916681?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1411349*j*o - 4178792*o wrt j?\nAnswer: 1411349*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*j**2 + 1250193*j**3 - 1250192*j**3 - 1 - 5 to the form a*j**3 + d + x*j + z*j**2 and give d.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 856 = -4*j, 0*q - j - 276 = -q. What is the smallest common multiple of 36 and q?\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-14)\/4)\/(1\/(-14)). Let r = a - 154. Let k be 99\/r + -2 - -3. Are k and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 8 - 0. Let q be (-1 - 5)*(-32)\/c. Suppose v - q = -2*v. Does 21 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 + (-2 - (-9 + 2)). Suppose -o*i + 100 = 2*i. Round i to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/22 - (2 + (-36)\/44). Is 3\/265 not equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-2)\/l)**35*((l\/l**(-9))\/l*l)\/l**(7\/4))**(-49) assuming l is positive.\nAnswer: l**(18963\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z**2 - 3*z**2 - 3*z**3)*(50 + 21 - 19) - 2*z**3 - z**3 + 2*z**3.\nAnswer: -157*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - p = -3063, -3*v + 5*p - 2*p = -3063. Suppose 9*n - v = 68. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 94690 and 41310?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 - (0\/1 - 3). Suppose 16 = -5*t + 4*w - 32, d = w. Let k be 1\/2 - (-6)\/t. What is the third biggest value in -0.1, k, 7?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(11) + sqrt(11) + sqrt(11) + -1 + 4 - (-6*sqrt(44) + (sqrt(11) - sqrt(55)\/sqrt(80))))**2.\nAnswer: 171*sqrt(11) + 36315\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 n when three letters picked without replacement from ssssiisnsssii.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 330*a**3 - 5*a - 1925 with respect to a.\nAnswer: 990*a**2 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + 11 + -3 + -3 + -1 + 0.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.09 - 0.09. Let c = 0.1027 - -0.0273. Is i > c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, e: 6, x: 4}. What is prob of sequence xe?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}