diff --git "a/data/dm_maths/full_data_1/1493_11255.jsonl" "b/data/dm_maths/full_data_1/1493_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1493_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Calculate the smallest common multiple of 27064 and 50745.\nAnswer: 405960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -1\/11, -1\/10, -226, 2 in ascending order.\nAnswer: -226, -0.4, -1\/10, -1\/11, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*q - 2*h - 45670, -q + 7*h - 12*h + 6556 = 0. Calculate the highest common divisor of 26 and q.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 151462 + -151458. Let t = -3\/4 - -5\/8. What is the nearest to i in t, -3\/7, -2\/3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/2 and 11\/648.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1788777203 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in two sevenths of a week?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 925245079 to the nearest integer?\nAnswer: 30418","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 18*o**3 + 13*o**2 - 4*o + 38. Let a(z) = 18*z**3 + 17*z**2 - 5*z + 37. Calculate -3*a(u) + 4*d(u).\nAnswer: 18*u**3 + u**2 - u + 41","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y\/(y*y**7)*y*y**(-3\/5) assuming y is positive.\nAnswer: y**(-28\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 105\/64277 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4, -20, -1, -7 in descending order.\nAnswer: -1, -3, -4, -7, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + p = 213, 0*b - 3*b - 5*p + 147 = 0. Let x = b + -37. Calculate the remainder when 64 + (-4 - -3 - -2) is divided by x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25663.\nAnswer: 11, 2333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2240173048?\nAnswer: 2, 53, 5283427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, 5, -0.4, -728.\nAnswer: -728, -3, -0.4, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -2*p**6 + 153*p**4 + 5*p**2 - 241. Let t(n) = -n**6 + 76*n**4 + 2*n**2 - 121. Let a(f) = 3*d(f) - 7*t(f). Find the third derivative of a(z) wrt z.\nAnswer: 120*z**3 - 1752*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6280439 divided by -6\nAnswer: 6280439\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 223910 + (-3525)\/525 + 2\/(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - 1. Let u = -252 + 257. Suppose u*j + 5*f - 55 = 0, 4*j - 35 = 8*f - 3*f. Solve -3*p + p - 4 = -b*o, 3*o + 5*p + j = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (17*f + 9*f - 2*f)*(4*f + 3*f - 5*f) to the form s*f + y*f**2 + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 4*r - 18217595 + 18217731 = 0, 3*w + 9*r - 78 = 0 for w.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72) + -1 - (2 + -1*sqrt(2)))**2.\nAnswer: -42*sqrt(2) + 107","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, m: 10, x: 7}. What is prob of picking 1 x and 1 r?\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*u + 5*u + 0*u)*(-5*u - 5*u - 11*u) + 2*u**2 + 2*u**2 - 7*u**2 to p*u**2 + r*u + o and give p.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 381 = -r + f, 25 = -7*f + 2*f. Let j = 873 + r. What are the prime factors of j?\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1986076.3 + -1986054.299958. Let x = o - 22. What is x rounded to 5 dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 742*r**3 + 5*r**2 - 5*r**2 + 0*r**2.\nAnswer: 742*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t**3\/7 - 15867*t**2\/7 + 158253*t\/7 + 617643\/7 = 0.\nAnswer: -3, 13, 5279","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1132853185 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 - 5*q**2 - 8*q - 15. Let l be r(7). Solve -7*t = 1 + l for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67864 a multiple of 97?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (1\/((-6)\/8))\/(8250\/1125)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 32302040 (base 7) to base 11\nAnswer: 1613470","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 156 = -212. What is the least common multiple of n and 8?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 943?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17569 is divided by 2506?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 5, n: 3, d: 1, t: 5, a: 1}. What is prob of picking 1 n, 1 a, and 1 q?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 189966668 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.665794 and 235.2837.\nAnswer: 235.949494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 45 + -133\/3. Is n < 40?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -79 from -218.\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -3*l**4 - 25*l**3 + 145*l**2 - 255*l + 5. Let r(g) = 2*g**4 + 12*g**3 - 72*g**2 + 128*g - 3. Let n(b) = -3*j(b) - 5*r(b). What is o in n(o) = 0?\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -5*b**3 - 5*b**2 - 10*b + 1. Suppose 9 = -3*g + 3. List the prime factors of z(g).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-308)\/66*3\/(-2))\/((-795)\/3975).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -34*x**2 - 275*x + 845. Determine j(3).\nAnswer: -286","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of -l**4\/36 + 10*l**3\/9 - 19*l**2\/6 + 140*l - 141. Let x(g) be the first derivative of u(g). Determine k so that x(k) = 0.\nAnswer: 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*l**4 + 104*l**3 - 210*l**2 + 148*l - 32 = 0. What is l?\nAnswer: 2\/5, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3\/4 (b) -70 (c) -17 (d) -3 (e) -112 (f) 1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 + 5 = 3*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 3*m**2 - 5*m - 5. Let k be u(-4). Is k less than or equal to 63?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 AM and 1:46 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -7*s**2 + 466*s + 276. Determine a(67).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -451115 and -1.87.\nAnswer: 843585.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + 2*c + 29, 2*c = 5*m + 32 + 43. Let r = m + 18. List the prime factors of r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 6*y**3 - 3*y**2 + y - 3. Let n(r) = 18*r**3 - 8*r**2 + 3*r - 8. Let k = -159 - -156. Calculate k*n(p) + 8*x(p).\nAnswer: -6*p**3 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*a**2 + 2*a**3 + 12*a**2 - 3*a - 2 - 34*a**2 + 12*a**2 in the form z + s*a + h*a**3 + n*a**2 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*o**2 + 44*o**2 + 63*o**2)*(1 - 4 + 2)*(-o + o - 2*o).\nAnswer: 172*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2*-107250\nAnswer: -214500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13.2 - 13.5. What is the nearest to -0.1 in -36, -1\/4, -0.5, l?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, u: 1, i: 3, r: 5, a: 1}. Give prob of picking 1 a and 1 u.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of -u**3\/3 + u**2\/2 + 86. Let p(g) = -3*g**2 + 3*g + 1. Calculate p(r) - 4*q(r).\nAnswer: r**2 - r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -18, -30, -48, -72?\n\"Answer: -3*p**2 - 3*p - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= 20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -1, 0.1, 0.2, 0?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/1390820 and 139\/120.\nAnswer: 8344920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 721504 and 608?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/18 - (-9 + (-395)\/(-45)). Solve n - 5 = v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -2*c + 7. Let l be x(-7). Suppose 0*a - 29 = -4*a - 5*u, 4*u - l = -3*a. Let i(m) = m**2 - m. Calculate the smallest common multiple of a and i(-1).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 1)*(306\/4 - (1503 - 1486)).\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (224\/9)\/(-4) - -6. Sort -2\/3, 7, z in decreasing order.\nAnswer: 7, z, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of 43*h**5\/4 + 15*h**3 + 161*h. What is the second derivative of o(y) wrt y?\nAnswer: 1290*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 177682 is divided by 226.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Work out -2446 * 0.53.\nAnswer: -1296.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -31992181*f - 82368786.\nAnswer: -31992181","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 210 + -1029. Is 310487\/21 - (-78)\/m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2399819 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -3. Let x = -142 - -137. Sort g, 4, x in decreasing order.\nAnswer: 4, g, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*d**2 + 128*d + 3*d**2 - 10*d.\nAnswer: -2*d**2 + 118*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-9)*h)**30 assuming h is positive.\nAnswer: h**(-240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 9 - 2)*(1 + 3 - 2)*(26 - 26 + 7*w).\nAnswer: 112*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 3*q + 12 = 0, 4*a + 12 = -q + 16. Solve 0 = -a*j + 5*j + 20 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1384018 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.18, 0.2, 6, 6\/5, 167, 4 in descending order.\nAnswer: 167, 6, 4, 6\/5, 0.2, 0.18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17571 + 17574. Which is the fourth biggest value? (a) 7 (b) -0.3 (c) -2\/13 (d) -20 (e) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -116 + 118. Suppose -4*l + 2*n = -976, -872 = -s*l - 4*n - 364. What are the prime factors of l?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -279002 - 1157170 = -12598*d for d.\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/2 + 0 - -4. Let d(c) = 0*c**2 - k*c + 8*c + c**2 - 3*c + 3. Suppose -3*r - 5 - 7 = 0. Determine d(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 - g**2 - g - 1. Let b be l(-3). Let o = b + -8. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 10575*c - 2167877. Give j(205).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -1 + 4*j - 4*j - 33*j. Let p be ((-2)\/(-3))\/((-2)\/3). List the prime factors of b(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 - 12*d**2 - 26*d - 23. Let s be o(14). Suppose s*p - 5*k - 2200 = 0, 4*p - 5*p - 4*k + 450 = 0. Does 26 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-64)\/12 + 4\/(-6). Let h = -2 - y. Let o = -1347 - -1347. Solve 0 = -o*z - h*z - 4 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l = 45 - 44. Let r = -0.134 - 11.066. Let u = -16 - r. Which is the third biggest value? (a) u (b) l (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -q, 3*d - 4*q + 1 = 36. Let b = 2 + d. Calculate the greatest common divisor of 287 and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2724 divided by 227.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, c: 1, q: 2, j: 6}. Give prob of sequence djcq.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 66 = -5*b. What is the third derivative of -10*x**2 - 41*x**3 + b - 35 + 0*x**3 wrt x?\nAnswer: -246","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 1. Suppose 0*c + y = c. Calculate the highest common factor of c and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -72 (b) -0.092 (c) 291\/4 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 473 + -323. Let s = 225 - l. Let y = s + -75.0000082. What is y rounded to 6 dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 300 = -g - 84, -3*p - 1986 = 5*g. Let h = g + 402. Sort h, 5, -7, -2 in increasing order.\nAnswer: -7, -2, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.15 + 2003.074811.\nAnswer: 2003.224811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwrwwwwwwwwwwwwwww. What is prob of sequence wr?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -34, -49, -66, -79, -82?\n\"Answer: q**3 - 7*q**2 - q - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-5*(5 + -1 + sqrt(153)))**2 - (sqrt(153) + 0)**2*3*4) + 2)*4 + -3.\nAnswer: 9561 + 2400*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -65, -188, -395, -686, -1061, -1520, -2063?\n\"Answer: -42*t**2 + 3*t - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 445963215?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 18 = -0*t + 5*j, -2*t - 5*j + 39 = 0. What is the remainder when t is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 236\/7 (c) -1397\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 46584*q**2 - 348704 with respect to q.\nAnswer: 93168*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21730 and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvkv when four letters picked without replacement from kkkdvvvvdvkvvvkvkkvv?\nAnswer: 77\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the second derivative of -2*b**3\/3 - 7*b. Let h(l) = -6 - 2*l**2 + 6. What is q(h(c))?\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -48.61 + 48. Let i = s + 0.11. Which is smaller: -2\/7 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/4*480\/4200)\/(1\/(-2))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2926*d*g**2 + 150*d*g - 2*d - 516*g**2 + 4*g + 82 wrt g.\nAnswer: -5852*d - 1032","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2135972970 to the nearest integer?\nAnswer: 46217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 56 + -54. Suppose d*n - 3*h - 3 = -n, -5*h + 10 = 0. Calculate the remainder when -2*(0 + 0 + -4) is divided by n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 + 177*l.\nAnswer: 177*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + (-1 - 7) - -3.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 287514343.\nAnswer: 287514343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of -s**4\/102 + 8*s**3\/17 + 52*s**2\/17 + 8190*s. Let d(p) = 0. What is p?\nAnswer: -2, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36839 and 3553.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -o + 11. Suppose 0*f - 2*f = -k - 7, 2*f = 2*k + 12. Sort 4, o, k in descending order.\nAnswer: 4, o, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158752 is divided by 1484.\nAnswer: 1448","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from {g: 4, p: 4, k: 1, t: 1, a: 1, i: 1}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -38 or 16468?\nAnswer: 16468","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -411687.2 rounded to the nearest 1000?\nAnswer: -412000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 14 - (-15)\/(-6)*-2. Let f be r\/6 - (-3)\/(3\/(-4)). Let m = 0 + 0. What is the nearest to -0.1 in m, -5, f?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 3*p = 3329, -4*p + 11 - 5005 = -3*y. What is the remainder when y is divided by 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -162 + 134 = -7*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**4\/4 - 1413*q**3\/4 + 2817*q**2\/4 - 1407*q\/4.\nAnswer: 3*q*(q - 469)*(q - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 3*h + 136. What is a(-47)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 16608280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*-5*sqrt(18)\/sqrt(3))\/(sqrt(10)\/(sqrt(5)*2) + (sqrt(42)\/sqrt(3))\/sqrt(7))*2 + -2)**2.\nAnswer: 400*sqrt(3)\/3 + 10012\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/8)\/(n**(-10)\/n))**(-8) assuming n is positive.\nAnswer: n**(-89)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -4 + (sqrt(84) + (sqrt(84) + 1*sqrt(84))*6 + (sqrt(84) + 2*sqrt(84) - sqrt(84) - sqrt(84))*1)\/(sqrt(96)\/(-2*sqrt(648))).\nAnswer: -252*sqrt(7) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -35 + 1?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 28143672*m + 30750983 with respect to m.\nAnswer: 28143672","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 1 = -t. Let h(w) = -w**2 + 4*w + 5. Let g be h(5). Let n(u) = -u**2 + 0*u**2 + g*u**2. Let i(a) = a**2 + a + 1. Calculate t*n(m) + 2*i(m).\nAnswer: m**2 + 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23 by -101.\nAnswer: 23\/101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, 4, 0.17, -2\/5 in descending order.\nAnswer: 4, 0.17, -2\/5, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, -274, 5, 0, 26 in descending order.\nAnswer: 26, 5, 4, 0, -3, -274","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*l**3*q + 8*l*q + 681*q with respect to l.\nAnswer: 21*l**2*q + 8*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 - 4*b - 5. Let f be m(3). Let k be 4\/16 - 94\/f. Calculate the greatest common factor of k and 132.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 765 and 720?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 - 10.7. Let y = q - 1. Let m = y + 0.1. Which is the closest to -2? (a) 5 (b) 2 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 12*x**4 + 136*x**3 + 464*x**2 + 440*x + 100 = 0.\nAnswer: -5, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7308541 divided by -53.\nAnswer: -137897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 35*a**2 + 129*a + 963. Calculate q(-7).\nAnswer: 1775","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2*f - 19. Let b be i(-12). Let j(l) = l - 3. Let o be j(3). Sort -3, b, o in ascending order.\nAnswer: -3, o, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 45304255 + -45304111.000126. Let d = 144 - y. What is d rounded to 5 dps?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.11, 2\/5, 2, 3815 in increasing order.\nAnswer: -0.11, 2\/5, 2, 3815","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 - 11*a + 27. Let d be z(8). Suppose v = -d*s - 0*v + 41, 76 = 4*s - 4*v. Is 4 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 27.5 + -27. Let j = -4 - -3.9. What is the nearest to j in 4, -3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4119?\nAnswer: 3, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 230966 * 1.8\nAnswer: 415738.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 430089.5 litres in millilitres?\nAnswer: 430089500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 + 6*v**2 + 32*v + 21. Calculate s(-8).\nAnswer: 661","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -3 (b) -0.4 (c) 88 (d) 4398\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h + 11*h + 163 = 0. Let o = -86 - h. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + 3. What is the third smallest value in q, 1\/7, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -27*c - 105 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -72 - -85. Solve -4 + a = 3*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 378529 is divided by 1247?\nAnswer: 688","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 38*j - 3 + 0 in the form c + o*j and give o.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((5\/(-10))\/((-7)\/4*1675\/469))\/(-1)\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/2 and 49\/19443832.\nAnswer: 19443832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 891284.\nAnswer: 2, 163, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1446, 0, 2, 161, -2 in descending order.\nAnswer: 161, 2, 0, -2, -1446","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -884 + 59 = 75*y for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -28\/69 + -6\/23. Let h = -0.35 + 0.85. Which is the closest to -0.6? (a) m (b) h (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 + 21*o**2 + 635*o - 11940. Determine r(17).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-4)\/(s*s**(1\/6)))\/(s**7\/(s\/(s**(-4)*s))))\/(s**(-4)\/(s\/(s\/(s*s\/s**2*s*s)))*s**(1\/4)\/((s\/(((s\/s**(-2\/23))\/s*s)\/s))\/s)) assuming s is positive.\nAnswer: s**(-691\/276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13129?\nAnswer: 19, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, -8, -2, 1 in ascending order.\nAnswer: -8, -3, -2, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -29082 divided by -4?\nAnswer: 14541\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 13\/4 of a year?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 224831 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 3\/10, 2, 0.02?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of p**6\/660 - 7*p**5\/165 + 25*p**4\/132 - 4*p**3\/11 - 91*p**2. Let f(r) = 0. What is r?\nAnswer: 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 8) to base 11.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 54 - 54.1. What is the closest to v in 73, 4, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 7) to base 6.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 529 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, x: 2, h: 2, k: 2, p: 1}. Give prob of sequence hh.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -56 + 56.1. Let g = 0 - -4. What is the third biggest value in 5, g, h, -2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2870.\nAnswer: 2, 5, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 626, 858, 1474, 2666, 4626, 7546, 11618?\nAnswer: 17034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3\/4 - 5255*i**2\/4 + 372442*i - 27155484.\nAnswer: (i - 4959)*(i - 148)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**4\/3 - 2041*n**3 - 18376*n**2\/3 - 4084*n.\nAnswer: n*(n - 6126)*(n + 1)*(n + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 258364*f**3 - 140772*f**2 + 2.\nAnswer: 1550184","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5 and 254255?\nAnswer: 254255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (4 - (-6 + 4 + 8)) - 4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 279720 and 486.\nAnswer: 2517480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1257.607 kilometers to micrometers.\nAnswer: 1257607000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -3\/8 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 58 - -19. Let y = -81 + b. Let w(a) = -a**2 - 5*a - 1. Give w(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.6734 to one decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bq when two letters picked without replacement from ubbqbubkuqkubbqqgb?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -9*n - 25. Determine m(-11).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 439 - 384. Suppose 0*f = -7*f + 133. What is the remainder when a is divided by f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8\/15811 and -155\/7566.\nAnswer: 1233258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 188479263, 188479262, 188479259, 188479254, 188479247, 188479238, 188479227?\n\"Answer: -t**2 + 2*t + 188479262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*q + 44 = 104 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.0507 + -3.9493. Let o be (-2)\/7 - (-66)\/(-14). Which is the second biggest value? (a) o (b) 0.5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-251 + 19 + 4)*(-v - 3 + 3) to r*v + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = a + 4*h + 3, -h + 15 = 5*a. Let j be 1*(a + (-1 - -10)). Suppose -3*k + 2*z = -j, 4*k + 3*z = 1 + 25. Solve 4*t = 4*s, -s = k*t + 6 - 24 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 39*a + 57 + 53 - 32 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 57*d = 59*d - 7234, n - 3626 = 2*d. List the prime factors of n.\nAnswer: 2, 5, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -641*t - 8393 = -750*t. What is the greatest common factor of t and 913?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2 + 12*p + 17. Let h be o(13). Suppose 0 = -d + h*d - 17070. Let l = 96701\/17 - d. Calculate the common denominator of l and 2\/9.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 770900469?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5\/7 (b) 4636 (c) 0.4 (d) -50\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -723, -721, -727, -741, -763, -793?\nAnswer: -831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (42*c - 42*c - 37*c**2 - 3*c**2 + 3*c**2 - 2*c**2 + (c + 3*c - 3*c)*(2*c + 3*c - 6*c) + 63 - 13*c**2 - 63)*(1 + 0 - 3).\nAnswer: 106*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 217 divide 10486959?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(56)*1)\/(sqrt(8) + 5*sqrt(16)\/sqrt(2)).\nAnswer: -sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kukbumjh. Give prob of picking 1 u, 1 m, and 1 k.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 10295972101 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(336\/(-18))*4?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2813303*z**3 + 14845626.\nAnswer: 8439909*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + 3 + -7 - (-9 + (8 - 11))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1107.747ug to grams.\nAnswer: 0.001107747","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1515, 1522, 1533, 1548, 1567, 1590?\n\"Answer: 2*z**2 + z + 1512","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 301.839 - 3.4\nAnswer: 298.439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 3*q + 5 + 0 = 0, -4*a + 2*q + 14 = 0. Let w(d) = -d + 5. Let x be w(3). Find the third derivative of -x*z**3 - 3*z + a*z**2 + 3*z wrt z.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - 3. Solve p - 4*p - o = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20 - 17. Suppose -3*b = -t*c + 93, -3*c - 151 = -8*c + b. Is c a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 - 660*q + 1314*q + 14 - 663*q.\nAnswer: -9*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -923080*t - 960. Let u be z(13). What is u rounded to the nearest 1000000?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*r**3*v - r**2*v - r + 126*v with respect to r.\nAnswer: -24*r**2*v - 2*r*v - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 88?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2\/41, 89, -41?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/13, -3, 3, 1, 0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n*n\/((n*n*n**7)\/n)*n)\/((n*n**(-8\/5))\/n*n*n)*n**(-5)\/((n*n*n**0)\/n))**(2\/13) assuming n is positive.\nAnswer: n**(-8\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 3*p = 13, -p + 12 = -3*k + p. What is the remainder when (-225)\/(-33) - k\/11 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4931 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 325 + -3537\/11. Calculate the common denominator of f and -1*-1*3\/9*62.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-21)\/(-28))\/(75\/(-60))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31 - 10 - 21 - 2*i.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14.5 - 14. Sort 8, -0.3, x.\nAnswer: -0.3, x, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 - 2*w - 2. Let o be 1 + 7\/(0 + 1). Suppose 0 = 1518*d - 1526*d + 96. What is the remainder when l(o) is divided by d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8379478 is divided by 52.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -200234*h**3*m**2 - 5*h**3*m + 53*h**3 + 504*h**2*m - 22*h**2 + 3*h*m**2 + h*m + 13*m**2 + 11 wrt h.\nAnswer: -1201404*m**2 - 30*m + 318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-1))\/(94\/376).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 34 + 102*r - 2*r**3 - 7 - 103*r as y*r**3 + w + a*r + c*r**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/21 (b) -1\/3 (c) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 - 5*k**2 + 5*k - 5. Let c be n(4). Let x be 46*(-2*1)\/(-1 + c). Suppose 8*q - x = 6*q. What is the highest common factor of q and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1300.7 + -1300.69. Let l be (6 - 7)*(-3 + 2). Let q be 2\/(-2*3\/2). What is the nearest to l in -5, q, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4557 + 7?\nAnswer: -4550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1506 times 0.063?\nAnswer: -94.878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26 - -79. Suppose 0*l + 39 = 3*l - 3*a, -5*l = -a - o. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-66 - 3)*1\/3. Let g = -23 - a. Solve 0 = -3*y - g*y + 3 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -161\/330 and -73\/7370.\nAnswer: 22110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.5943 to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -81.99 - -5.\nAnswer: -76.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 1\/7 (c) -1\/2 (d) -2\/227\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 795?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1603\/6? (a) 2 (b) 2\/37 (c) -66\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = -u - 13, -2*s + 0 = 3*u + 7 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -10*n**3 - 2*n**2 - 2*n + 2. Suppose -21 = 7*j - 7. Let q be a(j). Is 309\/4 equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 205, -0.004, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) 21 (b) 0.1 (c) -0.9 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(5\/6))**16\/(t\/(t*t**(-11)))**23 assuming t is positive.\nAnswer: t**(-719\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-7)\/((-14)\/2090)*1\/1?\nAnswer: 5, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 29834 - 29830 = 5*o, 8*x + 5 = 2*o - 3 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 77*x + 2. Suppose -9 = -3*r - 3*m, 0 = 5*r + 115*m - 114*m + 1. What is j(r)?\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 f when three letters picked without replacement from aaaffaafaa?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 + 29*d**2 - 18*d - 36. What is the tens digit of y(-18)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -29 - -42. Let j be (-1 - (-58)\/4)\/(-1). Let f = k + j. Which is greater: f or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-66)\/17)\/(42\/4641*-13)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -62, -122, -182, -242, -302, -362?\n\"Answer: -60*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2. Let p(x) = 71422637*x + 1. Give p(y(c)).\nAnswer: 71422637*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -137 greater than 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22730161 - 0.3.\nAnswer: 22730160.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = i - 11, -5*p = i - 4*i + 1. Suppose -3 = 2*m - i. Suppose 0 = -3*f + 4*a + 6004, 3*f - 2*f = m*a + 2002. Round f to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 9024527 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 4 + 5 + 6 + 4 + -4?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3b6 (base 12) to base 13\nAnswer: -34b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = 3*l + 3, -3*l - l - m = 13 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 2*r - 3. Let j be 513\/162 - 3\/18. Let l(a) = -a**2 - a + 1. Let m be 2\/4 + (-2)\/(-4). Calculate j*l(o) + m*z(o).\nAnswer: -3*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -107 + 106. What are the prime factors of g + 3 - -150 - (2 - 3)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 49153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*m**13)\/m*(m*m*m*m**(-14))\/m)**28 assuming m is positive.\nAnswer: m**56","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.20046 to two dps.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p**3 - 40*p**3 - 2*p**2 + 4*p**2 - 2*p**2.\nAnswer: -43*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 4381811\nAnswer: -5\/4381811","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + -1001001111?\nAnswer: -1001001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 12*l - 1 - 3 - 7. Let o(w) = -w + 1. Let c(u) = 2*b(u) + 22*o(u). Let r(h) be the second derivative of -h**4\/4 + h. Determine c(r(q)).\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4960127.\nAnswer: 4960127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 720831162, 720831164, 720831166?\nAnswer: 720831168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 9. Suppose -5*p - 5*b = -20, -z*p - b - 3*b = -14. Let x = 2 + p. Solve 3*f - 4 - 3 = -x*a, -2*a - 4*f = 4 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 78 - 73. Suppose 2*w + 6 = 0, -2*w - 81 = -4*j + w. Let c = j + -16. Solve -4*x + c = -u*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - -8 - 3 - 50 - (15 + -13)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -248 (base 10) to base 7.\nAnswer: -503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from yylcqxfxxqyyxcf?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -4*l**3 + 3*l**2 - 4*l + 2. Let c be h(1). Let b be c\/(-18)*8*(-810)\/(-12). Let v = -14 - -24. What is the highest common factor of v and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -10106266, -20212532, -30318798, -40425064, -50531330, -60637596?\n\"Answer: -10106266*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31, -2, -8, 5, 100 in descending order.\nAnswer: 100, 5, -2, -8, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/7691, 2, 0.3, -169?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6095?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 4*z = -7 - 23, 5*o - 3*z - 68 = 0. Suppose 4*q = -o*q + 748. What is the smallest common multiple of 28 and q?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of 1\/5*b**5 + 0*b**4 - b + 0*b**2 + 0*b**3 + 1. What is the first derivative of m(p) wrt p?\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -135*j + 1. List the prime factors of n(-2).\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.4 - -0.3. Let s = z + 0.1. Let y = 899 + -899.05. Which is the nearest to 0? (a) -1\/6 (b) s (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10668?\nAnswer: 2, 3, 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 - 6*o**2 - 6. Let n(w) = w + 10. Let t be n(-6). Let z(g) = 24 - 19 + g**3 + 9*g**2 - t*g**2. Give 5*m(q) + 6*z(q).\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(1\/13)*i*i\/i**(-8)*i*i)\/(i*i**(-3\/8)*i**(-7)\/i))\/((i*i**(1\/3))**(4\/11))**(-11) assuming i is positive.\nAnswer: i**(7733\/312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00016111448668 to five dps.\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1651 + 1653. What is the second biggest value in g, 0, -254?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-104)\/12)\/((-14070)\/(-378) + -37).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-288960)\/(-21) + -2 + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 3235*n + 6537. Determine q(-2).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 28 + 122*m - 36 + 102. Let s(h) be the first derivative of -41*h**2\/2 - 31*h - 1. Let r(l) = -7*s(l) - 2*t(l). Differentiate r(u) wrt u.\nAnswer: 43","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**4 + 2*f**4 + f**4)*(3 - 2 - 2)*(-14 + 51 - 17).\nAnswer: -80*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19627, -39279, -58935, -78595, -98259?\nAnswer: -117927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + sqrt(2) + sqrt(8)\/(sqrt(8)\/sqrt(2)))**2*-6 + (sqrt(200)*-2 - sqrt(200)) + ((sqrt(20)*-2)\/sqrt(10))**2.\nAnswer: -100 - 30*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37, 61, 85?\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v + 2*v + 0*v)*(1 - 3 + 0)*(0 - 5 + 4).\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*w**3 + 6*w**3 - w**3 - 7*w**3.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 48 - 45. Which is bigger: u or 0.3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + 6 + -11 - -1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10934 and 1139621?\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i**2 + 3*i**2 - 2*i**2)*(-3 - 6 - 7)*(4*i**2 - 5*i**2 + 3*i**2).\nAnswer: 64*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.809 + -2.01. What is j rounded to 2 dps?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 450 - 463.21. Let o = b + 13. Round o to 1 decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 + x + 1. Let k be d(2). Let j(g) = -120*g**3 + 2*g**2 + g. Let y be j(k). Let p = -66 + y. What is the highest common factor of p and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in six fifths of a meter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 247116.\nAnswer: 2, 3, 20593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 1262620?\nAnswer: 1262620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3956 + -829. Suppose j = -20*a + 21*a. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -75\/154 and 129\/1400.\nAnswer: 15400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 43*l**2 - 3*l - 2. Suppose -10 = -2*w - a, -w - 4*w - a = -19. What are the prime factors of c(w)?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/((p\/(p*p*(p*p**(-2))\/p)*p)\/p))**(1\/27))**2\/((p\/(p\/p**1)*p*p**0\/p*p)\/(p*p**2*p*p*p*((p**(-8)*p)\/p)\/p*p)) assuming p is positive.\nAnswer: p**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 655 is divided by 649.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the second derivative of 0 - 3\/2*n**3 + 0*n**4 + 1\/10*n**5 + 35\/2*n**2 - 27*n. What is the first derivative of i(p) wrt p?\nAnswer: 6*p**2 - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/(c*c**(-20)*c)*c**(-1)*(c**(-2\/17))**(-1\/19) assuming c is positive.\nAnswer: c**(5816\/323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2156) + sqrt(44) + sqrt(44))\/sqrt(4))**2*-5.\nAnswer: -4455","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*h - 12*h - 20 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -374*b + 153. Let j be w(4). Let l = j + 2847. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -177*r + 51*r + 69*r to the form f*r + z and give f.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2052\/(-20))\/(-9) - -3. Let p = s - 218\/15. Let f be (20\/(-24))\/((-2)\/(-3)). Which is the biggest value? (a) 0 (b) p (c) f (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of 4*s**5\/25 - 14*s**4\/5 - 44*s**3\/15 + 168*s**2 + 720*s - 586. Factor y(x).\nAnswer: 4*(x - 10)**2*(x + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of -3*d**5\/40 + d**3 + 2*d. Determine j so that q(j) = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqq when three letters picked without replacement from {q: 7, g: 1, x: 1}.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 473.397.\nAnswer: 2366.985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 2) in base 13?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 11 = -2*c, -15*a + 7*a = -5*c + 74 for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -1 + 6*a - 3*a - 4*a - 4. Determine f(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = u - 32. Let k = u + -6. Solve -g = -k*a, -a - 2*g - 14 = g for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -185 (b) 0.4 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -231*p + 339*p + 284*p + 787*p + 0 + 0 + 2*p + (p + 2*p - 2*p)*(-1 + 1 + 1) + p + 5*p - 4*p.\nAnswer: 1184*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -3520487 * 4\nAnswer: -14081948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2391343840 rounded to the nearest 1000000?\nAnswer: 2391000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*f = -1490 + 1400 for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9.522 - -9.222. What is the second smallest value in 9, -0.4, 0.4, 0.3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1085309 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 103242 (base 6) to base 10\nAnswer: 8522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2*c**2 + 147. Let n be q(0). Let r = 147 - n. Solve r = -4*y + 9*y - 25 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129704442 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 102001112 (base 3) to base 9\nAnswer: 12045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of 0 + o**2 + 1\/4*o**4 + 0*o**3 + 10*o. Let u be f(-2). Calculate the greatest common divisor of u and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 34*x**2 + 2*x - 23. Let h(q) = -35*q**2 - 3*q + 25. What is 2*h(d) + 3*k(d)?\nAnswer: 32*d**2 - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -1) + (-2 - 3) + 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 PM and 8:28 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s**2 - 1 + 4*s**2 + 1.\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of j**5\/20 - 3*j**4\/4 - j**3\/3 + 3*j**2 - 9*j. Let f be i(9). List the prime factors of (-3)\/f + 1729\/28.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*-15957401\nAnswer: -63829604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -184 + 299 + 204 + 5*o**2 + 219 - 4*o**2 in the form v*o**2 + f + w*o and give f.\nAnswer: 538","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -12131 (base 4) to base 3\nAnswer: -120022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g + 27 + 3. Let j(m) = -2*m**2 - 2*m + 11. Let t be j(g). Let s = t - -169. Is s a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 AM and 8:35 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 17 + 0*x - 9*x - 6. Let c(a) = 28*a - 34. Let r(t) = 5*c(t) + 16*f(t). What is the first derivative of r(h) wrt h?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*i - 825 = -28*i. What is the greatest common divisor of 22 and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 79 = -2*o, -2*o - 3 = 2*k - 29. Suppose 5*c = n + k, -4*c - c = -15. Suppose -4*j = -z - n*z - 8, -3*z = -5*j + 10. Is 3\/4 != j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -19 and 2.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (1 - -4 - 5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -49 divided by -3?\nAnswer: 49\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32387, -32388, -32389, -32390?\nAnswer: -32391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 438 and 29724?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18.0390366*4.\nAnswer: 72.1561464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-2))\/((-22)\/(15972\/(-66))).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of 0 + 1\/24*y**4 - 5*y**2 + 0*y + 1\/3*y**3. What is the least common multiple of b(8) and 18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s**2 + 5*s - 7. Let c(z) = z**2 - 6*z + 8. What is -5*c(n) - 6*k(n)?\nAnswer: 7*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 7, m: 6}. What is prob of picking 3 z?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6265)\/(-420) + -12 + 6*(-50)\/180?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in -3\/8, 0.5, 317\/203?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-38)\/7 - (-13 + 13 - 6). Which is the closest to 0.1? (a) 0.5 (b) 8 (c) x (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 4*z - 13 = 0, 2*v - 4*z = 5*v - 5. Suppose 0 = -18*s + 19*s - v. Solve s*m = -2*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a51 - 4?\nAnswer: -a55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -0.1, -0.4, -1854924, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2000 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3787369?\nAnswer: 3787369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -625*m. Let b be v(-3). Let p be (b\/(-2))\/(6\/1280). What is p rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -66816, -83123, -99428, -115731, -132032, -148331, -164628?\n\"Answer: g**2 - 16310*g - 50507","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 78880\/1275 - (-4)\/30. Suppose 22 = -51*c + j*c. Solve 0 = -c*u + u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1262*l - 53900 = -894*l for l.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/152 and 59\/384?\nAnswer: 7296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9.42 + -9.9066. What is a rounded to two decimal places?\nAnswer: -0.49","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10220 and 28484?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -15*c - 21. Let b be a(-13). Let m = 257 - b. Let o = -76 + m. Solve 0 = 5*p + 5*u - 3 - 2, 0 = p - u + o for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-36)\/21*84\/(-18). Calculate the highest common factor of f and 200.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*w + 197?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 - 32*t + 140. Let d be q(27). Solve -d*w - 3 = 2, z - w = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 + 5*v**2 - v - 5. Let q be a(-5). Let y be 2 + (-3 - 20\/(-8))*q. Let p(u) = u - 2 - 10*u**2 - y*u + 2. Let k(j) = j**2. What is k(p(x))?\nAnswer: 100*x**4 + 20*x**3 + x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -184239 or -184233?\nAnswer: -184233","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 4 - 4 - -6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/5 + 37191\/(-5). Let q be ((-892805)\/24)\/5 - 6\/6. Let z = s - q. Find the common denominator of -151\/24 and z.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + -5.6. Let l = -2 - g. Let q = -3.9 + -0.1. What is the nearest to 0 in 1, q, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -5*k**3 + 2*k**2 + 3*k + 2. Let w be (0\/1 - 1)*(4 - 3). Determine c(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 255 - 255 + 2032*f**2 - 974*f**2 - 544*f**4 wrt f.\nAnswer: -13056*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of l**2 + 9*l + 30. Give v(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 7*u = -126. What is the third derivative of 21*v**2 - 10*v**3 - 6*v**3 + u*v**3 wrt v?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67199 is divided by 47?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/199329 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -334*m + 219 - 2891 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-2 + 6*(2 + sqrt(192)) + sqrt(192)) - (-5 + ((-3*sqrt(135))\/sqrt(5))\/sqrt(9) + -2))**2.\nAnswer: 35298*sqrt(3) + 335476","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 15) in base 10?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -166 + 165 - (2 + -5 - 2)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -36 + 55. Suppose 4*q - a = 83, -7*a = -12*a - 15. Let b = q - y. Are b and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of x**4\/36 - 5*x**3\/9 + 4*x**2 + 1013*x. Suppose a(k) = 0. What is k?\nAnswer: 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3\/4 - 13783*k**2\/4 - 11669050*k + 1412848125.\nAnswer: -(k - 117)*(k + 6950)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2\/3 - 7*o + 18.\nAnswer: (o - 18)*(o - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1081041?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1625199 a multiple of 105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 216 and 186408?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1170*v - 169864 + 66904 for v.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 66868.33us?\nAnswer: 0.06686833","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*n = -5*n - 18. Let k be ((-4)\/20)\/1 - n\/10. Which is the nearest to k? (a) 3\/5 (b) -1 (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-39)\/351)\/(13\/(-82485)*-15)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 0.01, -12?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 1260?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -17, -19, -11, 7?\n\"Answer: 5*p**2 - 17*p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 20965?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -740*u + 745*u = 640. Suppose -110 = -3*o + 5*w - w, 5*o - w = 206. What is the first derivative of -32*n**3 + u - 56 - o wrt n?\nAnswer: -96*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is ec4 - -ea?\nAnswer: fae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1))**(-39))**1 assuming c is positive.\nAnswer: c**39","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from {p: 2, m: 6, l: 6, r: 1, j: 2}?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32801, -31011, -29221?\nAnswer: -27431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 43447144 divided by 43447144\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - -546236?\nAnswer: 546239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 + -7 - 3) + 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 - -6. Let n = -7 - -2. Let j = g - n. What is the closest to -1\/3 in j, -2, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 12:49 PM?\nAnswer: 5:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1104136 - 4?\nAnswer: -1104142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2*c**2 + 164*c**2 - 36 + 35*c - 27 + 28*c. Let m(n) = -13*n**2 - 5*n + 5. Calculate 63*m(t) + 5*q(t).\nAnswer: -9*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 233 - 13. What is t rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -213 - -173. What is the nearest to 0 in y, 0.2, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**1\/x**(1\/10))**(5\/4)*((((x\/x**(-4))\/x)\/x)**(1\/60))**(2\/93) assuming x is positive.\nAnswer: x**(4189\/3720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6910 and 490.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 - 7*j - 737. Let u be w(31). Let c(v) = v**2 - v - 2. Let g be c(6). What is the greatest common factor of u and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -2*z - 8. Let t = -10 + z. Find the third derivative of 32*j**4 - 36*j**t + 3*j**2 + 5*j - 5*j wrt j.\nAnswer: -96*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -36 + 51. Let p = -4 - w. Let j = 16.6 + p. Round j to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 - 6*p**2 + 5. Let m be b(6). Suppose y = m*y - 16. Suppose -99 + 27 = -y*k. Is 9 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/20*10\/6*6\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzvzzvzzzzzzvzvzvz. Give prob of sequence zz.\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 8*t**2 - 28*t + 6. Let b(p) = -2*p + 3. Give 2*b(a) - y(a).\nAnswer: -8*a**2 + 24*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 1 = 4. What are the prime factors of (10\/a)\/(4\/6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6032 rounded to 1 dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 120003 + 2?\nAnswer: 120005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by 39?\nAnswer: 8\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000919531 rounded to six decimal places?\nAnswer: 0.000092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -6 (b) 3\/2 (c) 0 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -733*t + 742*t + 31671. What is the common denominator of 67\/1064 and (-4)\/44 + t\/1584?\nAnswer: 2128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 102 in 21, -4, -0.21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 210 + (2 - 5) + 5?\nAnswer: 1060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15470962 is divided by 418134?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tbo when three letters picked without replacement from qqbqqoqjbqqoqqoot?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 - (-34 - -10) - (-4 - -3 - 5).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 - 11*h**2 + 13*h + 15. Let y be q(-12). Suppose u - 2 = -3*l - l, 2*u = y*l + 15. Let z = u - 6. Solve -2*c + z = -6 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 413740 divided by 20687.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1345, 5350, 12025, 21370, 33385?\nAnswer: 48070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(432)*6)**2.\nAnswer: 62208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -38 + 49. What is the smallest common multiple of 4 and m?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 - 2*c + 2. Let l(h) = -h**2 + h - 1. Let b(v) = 4*l(v) + 2*x(v). Let r(g) = -53*g**2. Give b(r(z)).\nAnswer: -5618*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -21, 2\/13, 0.085?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(-1 + sqrt(162)) - (sqrt(72) + 0 + (-2*sqrt(6))\/sqrt(3))) + -2 + 4)**2.\nAnswer: -176*sqrt(2) + 984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1128389*m**4*w - 13377114*w wrt m.\nAnswer: 4513556*m**3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 6*j - 18. Calculate the remainder when 15 is divided by j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -25, 4, -4, 24 in decreasing order.\nAnswer: 24, 4, -4, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -71 + 74?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 5:23 AM?\nAnswer: 12:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 116 - -47. Let m = -93 + w. What is the remainder when m is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 5*j - 21, -4*h + 3*j = -0 + 7. Let g = -635.6 - 121.4. Let n = 762 + g. Which is the nearest to -1\/4? (a) 0.5 (b) h (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -298 - -294. Let b(m) = -7*m**4 - 13*m**3 + 9*m**2 + 12*m - 3. Let t(p) = p + 1. Let f(u) = w*b(u) - 4*t(u). Determine d, given that f(d) = 0.\nAnswer: -2, -1, 1\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1484964?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 98*g**2 + 9*g + 223 + 18*g - 25*g**2 + 0*g**2 - 25*g wrt g.\nAnswer: 146","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-117)*(0 + (-11 - -41)\/(-5)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 16*p**2 - 683*p - 99. What is the least common multiple of 580 and i(43)?\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 - 12*o**2 - 10*o + 21. Determine c(9).\nAnswer: -312","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*s**4 + 66*s**3 - 726*s**2 + 2662*s = 0. Calculate s.\nAnswer: 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 5*j + 1386 = 0. Suppose -3*p = -0*p + j. What is p rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -41 - 2?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 + 4*t**2 - t - 2. Let j be o(-4). Suppose -20 = -j*a - h, -2*h = -4*a - 7*h + 28. Is (-993)\/(-6)*a\/6 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**4 + a**2 - 1. Let t = 64 - 58. Let p(s) = -5*s**4 - 3*s**2 + 2. Let d(v) = t*m(v) + 3*p(v). What is the third derivative of d(f) wrt f?\nAnswer: -216*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 33*g**2. Let o(r) = 3*r**2 + 12*r + 12. Let a(f) = -9*f**2 - 34*f - 34. Suppose -162 = -19*p + 161. Let t(v) = p*o(v) + 6*a(v). Determine u(t(q)).\nAnswer: 297*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 + 1 + 3)*(-5*r - 1 + 1) + (0 - 2 + 0)*(-4*r + 3*r + 3*r))*(5*r**2 + 2*r**3 - 5*r**2) to u*r**2 + k*r**4 + a*r + i*r**3 + h and give k.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(25) - (sqrt(125) - (sqrt(125)*1 - sqrt(125)))\/sqrt(5))\/(1*sqrt(125) - sqrt(5)))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-1\/9)*z**(1\/19)*(z**6)**(-3\/20) assuming z is positive.\nAnswer: z**(-1639\/1710)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 884156195 to the nearest integer?\nAnswer: 29735","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*r - 2968 + 2968 - 72*r**3 to the form i*r**3 + l*r**2 + a*r + y and give i.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2, -0.3, -19\/41, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 880*a + 7339 - 1833 = -884 - 1530 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 PM and 10:01 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 8, f: 1, j: 3, h: 3, n: 3}. What is prob of picking 3 m and 1 n?\nAnswer: 14\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 PM and 7:36 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 69.3 + -69. Let m = 0.6 - h. Let j = 6 - 32\/5. Which is the biggest value? (a) j (b) m (c) -1\/12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 22*((-39)\/26)\/1. Suppose 5*g = -h + 401, 32 = g + h - 49. Let x = s + g. Calculate the remainder when x is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4980 divided by 113.\nAnswer: 4980\/113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-105)\/70*(-2)\/13.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3185 is divided by 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -6 - 1 + z + 3 + 3. Let s(y) = 10285 - 5144 - 5145. Calculate -4*l(c) + s(c).\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.06883 to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93 - 95*h - 70*h + 25*h - 18*h + h**3.\nAnswer: h**3 - 158*h - 93","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + -31 - -11) + 11?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from inziiiiiiiiiiiiin. Give prob of sequence zn.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4197201?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -210, 31\/8, -2\/9, -1\/4, -1\/5 in descending order.\nAnswer: 31\/8, -1\/5, -2\/9, -1\/4, -210","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 u when two letters picked without replacement from ykuqg?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 - 1669*c + 233307. Calculate s(154).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*z - 55 = 13*r - 42*z, 5*r + z + 19 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*g**3 + 768*g + 0*g**3 - 779*g - 5 + g**2 - 2 + 2 in the form f*g**2 + v*g + l*g**3 + h and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5019271?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1237 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -23*o**2 + 16*o**2 + 2 - 23*o**2 in the form l*o + f*o**2 + x and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/13 - 84\/(-39). Let r(d) be the first derivative of 1 - 2*d - 1\/3*d**3 + 0*d**k. Differentiate r(j) wrt j.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -135, -28, 1 in increasing order.\nAnswer: -135, -28, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of -p**6\/70 - p**5\/20 - p**4\/28 + p**3\/14 + 22*p**2 - 172. Let f(l) be the second derivative of i(l). Solve f(k) = 0.\nAnswer: -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6657767 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 3*b + 72 = -5*f, 4*b - 3*f + 72 = 0. Let o = b + 31. What are the prime factors of o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142953 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -98 + 86 - (-9 + 1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 minus 5845722783.06?\nAnswer: -5845722782.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 - 2 - -1 - 0. Let l be h + 1 + 1 + -1. Which is smaller: 2 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -1026*c**2 + 2306. Let a(o) = -511*o**2 + 1153. Let j(z) = -11*a(z) + 6*u(z). Find the first derivative of j(y) wrt y.\nAnswer: -1070*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 45 and 123147770?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, y: 1, h: 3, w: 10}. What is prob of picking 2 w?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wif when three letters picked without replacement from fiddddfvkvfwvdd.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 8 + 0 = 0. Factor t*l**3 - 5*l**5 - l + l - l + 4*l**5.\nAnswer: -l*(l - 1)**2*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -30527, 2, 1\/3.\nAnswer: -30527, -5, 1\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/3)*f)**(-2\/71)\/(f**0)**6*(f**(2\/7)*f\/f**(2\/5))\/(f**(-7)\/(f\/(f\/(f**6\/f))*f)) assuming f is positive.\nAnswer: f**(103238\/7455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -7*l**2 - 4*l - 4. Let f(h) = 6*h**2 + 7*h - 1. Let n(o) = -6*o**2 - 6*o. Let i(c) = 3*f(c) + 4*n(c). Determine 4*i(r) - 3*k(r).\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + 1*sqrt(612)*5 - -5*(-3*sqrt(612) + 4)) + -5 + 4)**2.\nAnswer: -2760*sqrt(17) + 61729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14 and 117677.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, -5, 0.37?\nAnswer: 0.37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90*m**3 + 19521869 - 19521869.\nAnswer: -90*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -265 = -4*v - 615 + 282 for v.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 66723 divided by 3\nAnswer: 22241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 2*g - 300, -3*g + g + 282 = 4*r. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -36*f**2 - 129*f - 375. Let t(x) = 19*x**2 + 65*x + 186. Let g(r) = 8*n(r) + 15*t(r). Solve g(b) = 0 for b.\nAnswer: -14, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 13*b = 10*b - 163, -2*b = a + 37. Suppose -307 = -3*u + 5. Let w = u + a. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -5*k + 8. Suppose -k = -x - 4. Suppose -a + 3*a = x. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + 71 - 9. Let v = -30 - o. Suppose 4*u = -v - 3. Put -5, u, -21 in increasing order.\nAnswer: -21, -5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 157.4 - 157. Let v = 166 + -151. What is the nearest to 0 in v, k, 4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 e when two letters picked without replacement from iwcxxet.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 - q**2 + 8. Determine g(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -829\/9 + 92. Let g = 1.339 - 1.249. Which is the closest to -0.1? (a) l (b) g (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28, 37, 52, 73, 100, 133?\nAnswer: 172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (12\/4)\/(22\/((-12540)\/(-38)))\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (2 + 0 - 5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 11. Let a = 22 + -18. Let n(f) = 0 + f + 4 - 2 - a. Determine n(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46579 is divided by 291.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2783412.\nAnswer: 2, 3, 77317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 12.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4104910169 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 6396265.188 to the nearest one hundred thousand.\nAnswer: 6400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of -11*o**3 - 5*o**2\/2 + 5*o - 6. Let m(t) = -16*t**2 - 3*t + 3. Let z(q) = 6*a(q) - 10*m(q). Let p(y) = y. Determine p(z(h)).\nAnswer: -38*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1397\/595 smaller than -90?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 777 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5647?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 114*g - 24. What is the least common multiple of q(1) and 50?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 140\/(-30)*54\/(-21). Let z be (-21)\/(-126) + 106\/t. Solve 0*x = 9*x + z for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2706253*s + 554393 wrt s?\nAnswer: -2706253","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2918 to the power of 1\/2, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -28 - 24?\nAnswer: -4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 176 divide 4928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 223, 88068 in increasing order.\nAnswer: 2, 223, 88068","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2.06717325 from -8.8.\nAnswer: -10.86717325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + 21\/(-2))*(17766\/141 + -122)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -2*k**2 + 18*k + 35. Let d be q(11). Let s be (-2 + (-42)\/(-24))*8. Let w(z) = -5. Let j(c) = c + 20. Calculate d*w(n) + s*j(n).\nAnswer: -2*n + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5935 is divided by 263.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 275, 572, 851, 1106, 1331, 1520?\n\"Answer: -d**3 - 3*d**2 + 313*d - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93*c - 8*c - 63 + 68 + 9*c - 4.\nAnswer: 94*c + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2040)\/425*10\/(-12). Let m = 3 - 2. Let h be (-2 - m)\/((-3)\/2). Solve 0 = h*j + l*r - 2*r - 20, 0 = -3*j - 5*r + 40 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -76485, -152972, -229459, -305946?\nAnswer: -382433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -2. Let j(q) = -q - 96. Determine j(w) + 4*r(w).\nAnswer: -w - 104","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-12) - (-25)\/30. Let k(v) = v**2 + 4*v - 3. Suppose z + z = 14. What is the remainder when z is divided by k(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 5) to base 2.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-4) + (-1)\/(-6). Let r = -2.918 + 2.418. What is the second biggest value in -3, r, c?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 PM and 7:57 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kuuuueeue. Give prob of sequence ku.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 i when three letters picked without replacement from vivivivvvv.\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*q + 7*q - 20, 4*q = -2631*n + 2628*n - 28 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.6 and 2906471.\nAnswer: -4650353.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 34*f = 33 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 17*h**2 - 5*h. Let v(j) = -9*j**2 + 3*j. Determine -3*s(m) - 5*v(m).\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.063949512 to five dps.\nAnswer: -0.06395","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 90 = -0. Let i(y) = -3*y - 2. Let b be i(-4). Is (-1)\/(-5) + p\/b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1388796365?\nAnswer: 5, 11, 53, 347, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 2 + 4 + 17*h.\nAnswer: 17*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 2611043?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 384896 to the power of 1\/2, to the nearest integer?\nAnswer: 620","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of 7*m**5\/60 + 3*m**2. Let c(t) = 4*t. Determine c(s(l)).\nAnswer: 28*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1584) + -1 + 5 + (-5*(-1 + sqrt(1584)))**2 - -4*((sqrt(1584) + -1)*4 - (sqrt(1584) + sqrt(1584) + (sqrt(1584) + 0)*-4))**2)*3.\nAnswer: -8676*sqrt(11) + 803367","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (8 - 2) - (-3 - -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 8800*p - 18 = -8805*p, -4*p = 5*h + 43 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 140 times -0.46?\nAnswer: -64.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8973?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-98 - -168) + -104 + (1 - 18).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - -69bded0?\nAnswer: 69bded3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -75627, -151137, -226529, -301803, -376959?\nAnswer: -451997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -793*i**4 + 3 - i**3 + 774*i**4 + 2*i**3 to u*i**2 + k*i**3 + d*i + h*i**4 + j and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2. Let d = -4 - -5. Let r(x) = 2 - 2*x**2 - d + 5 - 3 + 3*x. Let n(m) = 4*m**2 - 7*m - 7. Let f(z) = 6*n(z) + 14*r(z). Determine f(a(q)).\nAnswer: -4*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + 8. Suppose -117*i - 13 = -364. What is the third biggest value in r, -3, i?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of -o**6\/24 - o**5\/4 + 18*o**2 + 30*o. Let a(v) be the first derivative of d(v). Factor a(x).\nAnswer: -5*x**2*(x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/8, -31, 4, -2\/13 in descending order.\nAnswer: 4, 1\/8, -2\/13, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1997\/(6\/9*12). Let y = q - 249. What is the common denominator of y and (19*1)\/(960\/560)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1251879 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2104862 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 7, v: 2, e: 2, y: 3, m: 4}. What is prob of sequence ymeh?\nAnswer: 7\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7.37 - -7.77. Let x = -11 - -7. Which is the second smallest value? (a) m (b) 0.2 (c) -0.9 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q - 3*q + 2*q)*(-27 - 65 - 1784*q + 1771*q) + 1 - 2*q**2 + 0 + 1.\nAnswer: 63*q**2 + 460*q + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**2. Let z(p) be the third derivative of -p**5\/30 + p**2. Give z(s(u)).\nAnswer: -2*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3996*n - 2090 = 3995*n. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110 (base 8) to base 15.\nAnswer: 4c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 50*g - 105*g - 770 for g.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of 4*q**3 + 7*q**2 - 2*q. Let o(d) = -5*d - 3. Suppose h - 4 + 7 = 0. Give h*m(w) - 14*o(w).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c**3 - 138*c**2 - 437*c + 366. Give o(72).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30, 37, 50, 69, 94, 125, 162?\nAnswer: 205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -3*c + 12, -10*c = -d - 9*c + 2. Put d, -4, -55 in descending order.\nAnswer: d, -4, -55","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1288 = 144*v - 5480 for v.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8681 less than 25988?\nAnswer: 17307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.1, -4.46, -0.4, -4?\nAnswer: -4.46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 - 14*m**2 + 14*m - 9. Let o = 21 - 8. Let b be y(o). Suppose -3*x - 20 = -8*x. Solve -d = -b*g - 0*g + 11, -24 = -x*d - g for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-144)\/(-10) + 6\/(-15). Suppose -3*w - 2*w = -20. Suppose 7*f - 3*f + 2*a = 12, -f - 4*a = w. Solve m + 3*n = 2, n = -2*m + f*n - j for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 1. Let x(j) = 2*j - 6. Determine -11*r(n) - 2*x(n).\nAnswer: -4*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n**4 + 0*n**4 + 3*n**4 - 2*n**4 + 1 - 2 + 0*n**4 + (n + 2*n + 0*n)*(-3*n**3 + 5*n**3 - 3*n**3).\nAnswer: -4*n**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/3564 and 47\/430596?\nAnswer: 4736556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2055290 or 2055291?\nAnswer: 2055291","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/1841 and 8\/49.\nAnswer: 12887","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 24\/(-42) - (-85)\/(-35)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 477 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2003499901 to the power of 1\/3, to the nearest integer?\nAnswer: 1261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 1461*r**2 - 1473*r + 12 = 0. What is r?\nAnswer: 4\/487, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -167\/3978 and -7\/306.\nAnswer: 3978","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 5 + 3 = 0. Suppose 3*l + 2*l - 5 = -2*z, q*l + z - 2 = 0. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 3*t + 32. Let u(n) = n**3 + 2*n + 32. Give 2*a(o) - 3*u(o).\nAnswer: -3*o**3 - 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ujbuwujjpjjjjjjwjbt. Give prob of sequence wub.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 h when three letters picked without replacement from qihqhhqhqqhqqiq?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -103*m**2 + 5*m + 50. Let q(p) = 57*p**2 - 3*p - 26. Calculate -9*q(c) - 5*x(c).\nAnswer: 2*c**2 + 2*c - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 846191 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5139 = v + 2*s, 10314 = -v + 3*v - 5*s. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 16 = 0, 0 = -5*x - 5*w + 7*w + 18 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*h**2 + 3*h**2 - 32*h**6 - 39*h**2 + 9*h**6 wrt h?\nAnswer: -2760*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -x - 2*x + 323, -2*x = -2. Suppose 3 = -h + q. Suppose -2*l = 13 - h. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6430.0009045 + 6430. What is a rounded to five dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 + 5*y**2 - 4*y + 3. Let i be z(4). Determine x so that 0*x**i + 4*x**3 + 18*x**4 - 3*x**2 + 2*x**3 - 3*x**3 = 0.\nAnswer: -1\/2, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (p - p + p)*((-2 + 2 + 1)*(-5 + 5 - 3*p**3) - 5*p**3 + 5 - 5) as k*p**3 + c*p + q*p**4 + n*p**2 + w and give q.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 225*b + 4815 = 479*b + 281*b for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7200 and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2851, 2728, 2615, 2518, 2443, 2396, 2383, 2410?\nAnswer: 2483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -2. Suppose 25*f - 141*f + 14964 = 0. Let t = p + f. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 739, 580, 311, -68?\nAnswer: -557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5342 - -5339. Put -3.4, 1\/8, f, 2\/3 in descending order.\nAnswer: 2\/3, 1\/8, f, -3.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 2 = 2*z, 0*z - 4 = 2*z - 4*w. Let m(n) = -z*n**3 + 6*n**3 + n**3. Let j be m(1). Solve -j*t + 5*f - 19 = 0, -5*t + 4*f - 12 = 11 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, x: 1, p: 2, f: 6}. Give prob of picking 1 x and 2 p.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 618552833 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 101 a factor of 19641167?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 + 3)*(-12 + 14). Solve 2*k + 8*k - 468*k**2 + 353*k**d = 0.\nAnswer: 0, 2\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3504*x + 3452*x = 936 for x.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange d**2 + 207199*d - d**2 - 207701*d + 2*d**3 - d**2 to w*d + f + r*d**3 + i*d**2 and give w.\nAnswer: -502","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30 is divided by 18.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 22*j - 1065 = 51*j for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 832 - 601. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8*(-17)\/408)\/((-2)\/(-318))?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 52 = 7*j. Let s be (-1 - j) + (-4 - 5). Let r(m) = 2 - 2 + 4*m**2 + 4. Let w(n) = 1. What is s*w(c) + r(c)?\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 13126 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -66 - 137. Let l = n - -1099. Is 64 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.045671 and 0.3.\nAnswer: -0.0137013","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 302930 is divided by 217?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 29 = 4*c, -c = 3*c - 733 + 765 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + ((-6)\/4)\/((-21114)\/(-552))?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 0 - 8. Let y = -2 + m. Solve 0*c + y*c + 5*n = 17, -4*n + 20 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 3*r = -43521, 3*f - 25626 = -5*r + 17919. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18 or 58?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 3*p - 4, 0 = 5*p - 3*p + 3*g - 20. Suppose -p = -4*u + 12. Is 3 a factor of u\/(-5)*(-120)\/16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7881181.\nAnswer: 7, 11, 19, 5387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1467 - -2511. List the prime factors of p.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 22190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 4 - 16 = 0, -2*o - 6*p - 14*p = 2*o - 68 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 679385 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-154)\/(-55) - 4\/5. Suppose 2*c + 3*v = 55 + 229, -4 = p*v. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114*o - 1423 + 625 = 0 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23920 is divided by 20.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8438e5 + 3?\nAnswer: 8438e8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 + 4)\/((-4 - -2) + 1). Let h(i) = -i**3 - 4*i**2 + 5. Determine h(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of -y**3\/3 + 25*y**2\/2 - 75*y + 127. Let m be s(20). Solve 6*x - 7 + m = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -2*l + w, 0*l + 2*l = 3*w - 1. Let x be ((-2)\/l)\/(14\/(-35)). Let j be -1 + 4 - (x - -3). Are j and 3\/23 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xgggxgggxgg. What is prob of picking 3 x and 1 g?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(432) + (sqrt(972) + sqrt(972) + -1)**2.\nAnswer: -60*sqrt(3) + 3893","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17 and 4312849?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -4*c**3 - 3*c**2 - 8*c - 4. Let j(m) = 5*m**3 + 4*m**2 + 9*m + 5. Determine 4*i(y) + 3*j(y).\nAnswer: -y**3 - 5*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g - 277347 + 92188 + 92976 + 92183.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/(-3) + 124\/6. Let x = -18 + u. Factor 0 + x*s**2 + 0*s + 1\/3*s**3.\nAnswer: s**2*(s + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 204050 and 693?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 478571 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2847286444 to the nearest integer?\nAnswer: 53360","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -b - 4. Suppose -b*g = 3*g. Suppose -2*h - 3*h + 185 = g. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*j*k**2*r**2*t**2 + 17*j*k**2*r + 113*j*k**2*t**3 - 4*k**2*t - k*r**2*t**3 + 2*k*r**2*t**2 wrt t.\nAnswer: 678*j*k**2 - 6*k*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 9 = 26. Let x be (-117)\/o - (-2)\/7. What is the highest common divisor of x and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19168 and 26541690?\nAnswer: 1198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 3 + -3 - (8 + -33 - -32)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/259 smaller than 18.86?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1549937 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1289\/30 + 638\/15. Suppose -x + 4*x + 3 = 0. Find the common denominator of 32\/((x - -18) + 4) and z.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 10*f**2 - f + 4. Let o be u(3). Let n = 636\/7 - o. Which is the nearest to 0? (a) -3 (b) n (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(2\/23)\/h)\/h)\/(h*h\/h**(-1))*((h\/(h**2\/h))\/h)\/(h\/((h\/(h\/h**1))\/h*h*h*h)) assuming h is positive.\nAnswer: h**(-90\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 - 8*q + 5. Let z be o(-8). Solve -k = -0 + z for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kq when two letters picked without replacement from {p: 2, q: 3, k: 4, s: 2}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 6*b**3 + 6*b + 7. Let m be u(-1). Put m, -3, 1 in decreasing order.\nAnswer: 1, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 9 - 5 = 0. Suppose 4*j - 5*f = 21, g = -5*j + f + 28. Suppose -7*u = -j*u - 186. List the prime factors of u.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 100 and 108918280.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of -2*v**6\/15 + 67*v. Solve u(o) = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 15\/4 of a kilometer?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x**2 + 483530*x - 967068 = 0. What is x?\nAnswer: -241767, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -2*v**3 - 22*v**2 + 12*v + 10. Let i(q) = -q**3 - 9*q**2 + 5*q + 4. Calculate 12*i(g) - 5*z(g).\nAnswer: -2*g**3 + 2*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -150 + 339. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6915265277 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -7 - (2 + -2) - -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, v: 1, k: 2, i: 1}. What is prob of sequence va?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -71 - -32. Let s = -50 - m. What is the units digit of 2\/s + 65\/55?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62466544 to the power of 1\/2, to the nearest integer?\nAnswer: 7904","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 9.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (114 - 114 - 48*w)*(-4 + 0 + 3) to the form c*w + q and give c.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3313242 (base 6) to base 3.\nAnswer: -22101210122","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 346 is divided by 75?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -d85712 + 27?\nAnswer: -d856da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 420 divided by 420.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*k + 10*k + 227 = -88 for k.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2204 is divided by 734?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15415902?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 33547 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 13 = 1. Let c = 4 - l. Let r(j) = -j + 13. Let q be r(c). Is q bigger than -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6804)\/(-30))\/(7\/35). Which is smaller: n or 1133?\nAnswer: 1133","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 41112*11.7\nAnswer: 481010.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 74527420 to the nearest integer?\nAnswer: 8633","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(190) + ((sqrt(190)*-2 - sqrt(190)) + sqrt(190) + sqrt(190) - sqrt(190)))*-4)\/((sqrt(10) + sqrt(90))*4).\nAnswer: sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/4*0 - -92. Let a = -83 + n. Which is greater: a or 8?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 + 5*k**2 + 4*k + 14. Let q be a(6). Suppose q*r = -4*u + 898, 36 = 2*r - 2*u - 844. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 0 + sqrt(11) + -3 + (((2*sqrt(132))\/sqrt(12))**2 - 1*sqrt(99)).\nAnswer: -2*sqrt(11) + 42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.21 - 4.017. Round f to two decimal places.\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from ammjdaammmmaaajaaaam?\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5239.052ms to microseconds.\nAnswer: 5239052","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 775104523*w**3 - 16479*w**2 + 835.\nAnswer: 4650627138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = b - 8 - 14, 5*v - 5*b - 70 = 0. Suppose 5*j - 40 = -d - 6, j = 2*d + v. List the prime factors of j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-87)\/(-29)*(-4)\/(-6)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of d**4\/3 + d. Let h(p) be the second derivative of -p**3\/3 - 35*p. Give h(r(f)).\nAnswer: -8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 9:33 AM?\nAnswer: 2:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l - 2096 - 604 = -91*l. Let r(a) be the third derivative of 0*a**3 + l*a**2 + 0 + 0*a - 23\/24*a**4. Let y(x) = -x. Determine y(r(f)).\nAnswer: 23*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vkkv when four letters picked without replacement from {v: 7, k: 7}.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -19092610+-0.03\nAnswer: -19092610.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + 30 + (9 - (3 - -11)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -16452 - -2?\nAnswer: -16450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -103 - -106 - (39 - 8).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g - 16. Let p be k(14). Let m be (p + 2)\/3 - 0. Solve -z = -m - 1 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 32*p - 58*p + 27*p. Let l be z(2). Suppose -5*q + l*o = -199, -4*q - o + 80 = -74. Calculate the greatest common divisor of 39 and q.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/(-9))\/(-17*(-50)\/(-1275)). Put f, -2, 0.36, 1, -1\/5 in decreasing order.\nAnswer: 1, 0.36, -1\/5, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 + -12217102871.\nAnswer: -12217102874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -40\/33 and ((-42)\/21)\/((-30)\/(-53))*1.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -17579548 and 6.2?\nAnswer: 17579554.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -3*l - 29, -l = -3*f - 0*l + 26. Suppose 19*j - f*j - 29796 = 0. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = -491*u + 501*u, 3*x = -5*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -5 + 19 + -4.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 4 = 0, 4*k = -0*p - 4*p + 24 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g + 0*g + 3*g + 0*g - 2*g + g + (-2 + 4 - 4)*(-g + 0 + 0) - 3 + g + 3 - 18*g + 49*g - 62*g.\nAnswer: -28*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -101 + -40?\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 + 9.3. Which is the second smallest value? (a) -0.1 (b) 0 (c) z (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -6*y - 1. Let b(w) = 5*w + 1. Let r(l) = -4*b(l) - 3*i(l). Let j(v) = -1 - 15*v + 0 + 6*v + 10*v. Determine -j(g) + r(g).\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2665786730 + 2665786730 - 26*v**2.\nAnswer: -26*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 - -12*(-6)\/9. Suppose 53 = 4*s - z - 2*z, 0 = 2*z - 2. Let c = i + s. Is c a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((d*d**(-3)*d)\/d)\/d)\/(d*d*(d\/(d\/(d*d**4)*d))\/d*d))**39)**(-49) assuming d is positive.\nAnswer: d**17199","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 71017663 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p = -127 + 613. Calculate the remainder when p is divided by 42.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*k + 157 - 24 - 1 for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -448, -1710, -3808, -6736, -10488?\n\"Answer: a**3 - 424*a**2 + 3*a - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 25*w = 15 + 52, 3*f + w - 2920 = -2963 for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1299 + -1198. Is t a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 + 29. Suppose 0 = j - 0*j - p. Suppose -l - j = -3*l. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19578188?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2126 = 38*d + 1328 for d.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -96 and -19?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 142740077.\nAnswer: 53, 167, 16127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 - 7*y - 4. Let z be s(8). Suppose 6*i = 3*i + 183. Let p = i + z. What is the remainder when p is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((3*((-6*sqrt(891)*2 - sqrt(891)) + -2) - (5 + (1*(sqrt(891) + 1) - (0 + sqrt(891))*5)))*-3)**2.\nAnswer: -39298284 - 272160*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 + -13. Suppose 4*j - 2 = q*j. Suppose 0*c**j + 0 + 0*c + 1\/5*c**3 = 0. What is c?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + 3 + (-6 - 8).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a tonne in kilograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/4))**(-35)\/(y*y\/y**1)**(-1) assuming y is positive.\nAnswer: y**(-31\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*(3\/7)\/(3 - 132\/42). Let f(q) = -q**3 + 2*q**2 - 10*q + 1. Let u(s) = -3*s**3 + 5*s**2 - 21*s + 3. What is v*u(w) + 7*f(w)?\nAnswer: 2*w**3 - w**2 - 7*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 - -25. What is the remainder when 43 is divided by n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 133.00578 rounded to the nearest 10?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 11 - 6 - 1 - (3 - 1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c\/(c*c*c\/c**(2\/5)*c)*c*c)\/c)\/(c**(2\/7)\/c))\/(c*((c*c*c**3\/c*c)\/c)\/c)**31)**30 assuming c is positive.\nAnswer: c**(-26226\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 30 = 0, -u - 10*l - 49 = -5*l for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*j - 73 = -29*j. What is the remainder when j is divided by 37?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*n + 662 + 508 = 0. Let g be -1 + n\/(-45) - 119\/(-105). Solve l = -5*j - g + 4, -4*j + l + 6 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 104*p = 102*p + 50, -u + 5*p - 5 = 0 for u.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1850 - 1851 - 2785*o + 2777*o + 3701.\nAnswer: -8*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -g + n - 9, 0 = -5*g - 4*n + 42. Let s = 8 + g. Is 4 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 3:52 PM?\nAnswer: 9:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 67 - 63. Suppose -147 = -3*n - 3*i, h*n = 2*i - 45 + 253. What is the greatest common divisor of 3 and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -22\/3545 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 221639611?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 - 9*q**2 - 3*q - 3. Let c be k(-9). Suppose 2*n - 4*n = -c. Is 6 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0028892288 to two dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 699804?\nAnswer: 2, 3, 7, 2777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -10892 < -10888?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/95324 and -46\/77.\nAnswer: 7339948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -1 (b) -3\/2 (c) 102 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*((-12)\/(-54))\/((-84)\/(-1239))*6.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 263317 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 10:24 AM?\nAnswer: 9:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -40385998 + 40386040.999866. Let v = 43 - l. Round v to five decimal places.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7 + 4*o + 7 + (-55 - 123 - 32)*(-3*o - 3*o + 3*o).\nAnswer: 634*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3033\/378 - -12*22\/231 and -17\/3399?\nAnswer: 6798","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 233 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*f**3*m**2*z + 36*f**3*z + 346*f**2*z + 2*f*z - 2*m**2*z wrt f.\nAnswer: 36*m**2*z + 216*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19*j**5 + 13*j - 11*j + 3*j + 4*j wrt j.\nAnswer: 380*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 55, 3, -3 in descending order.\nAnswer: 55, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 2, -11, 2094, 0, -1 in ascending order.\nAnswer: -11, -1, 0, 2, 6, 2094","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -54067910 divided by -5\nAnswer: 10813582","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23.7 + -27. Let x = 2.8 + t. Sort x, 4, -5.\nAnswer: -5, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -270*j**6 + 335*j**2 wrt j?\nAnswer: -32400*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 143*i = 68*i - 49*i + 160, 2*i + 80 = -2*x for x.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3120, -4, -0.6, -117 in descending order.\nAnswer: -0.6, -4, -117, -3120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 2 - 1259*i + 2446*i - 1245*i + 5.\nAnswer: -58*i + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -227\/452 at most as big as -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -293 - -295. Which is smaller: 12 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 1:32 PM?\nAnswer: 3:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 22*z**2 - 20*z**2 + 4*z - 2*z**4 + 3*z**4 - 16*z**3 + 9*z**4.\nAnswer: 2*z*(z - 1)**2*(5*z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-7)\/(84\/366)*302)\/(2\/(-4)).\nAnswer: 2, 61, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7357907 - 97.56.\nAnswer: 7357809.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert b6 (base 12) to base 6.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*u**2 + 20*u**2 - 10*u**2 + 36*u**2.\nAnswer: 36*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z + 34 = 10. Which is bigger: -7 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of -t**3\/3 + t**2 - 4*t - 12. What is d(5)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40957122103 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.2 times 11876?\nAnswer: 26127.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/(c*c*c**7*c)*c))\/c**10)**(4\/7)\/((c\/(c\/c**2)*c\/(((c*c**(-1\/7)*c*c*c)\/c)\/c))\/(c**2)**(-25)) assuming c is positive.\nAnswer: c**(-362\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1212182 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = 5*y - 10 - 30, 4*y = m + 7 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of 1\/60*t**5 + 13\/210*t**7 + 0 + 0*t**4 + 0*t**6 - 15*t**2 - t + 47\/6*t**3. What is the derivative of l(q) wrt q?\nAnswer: 52*q**3 + 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -4 - 9*x - 5*x + 0 + 7*x + 8. Calculate u(-2).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lal when three letters picked without replacement from {l: 9, k: 1, a: 4}?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -6 + 3 + 15*c**2 + 3*c + 2 - 2*c. What are the prime factors of r(1)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -20 - -b8b?\nAnswer: b6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4993674.6 less than -1.55?\nAnswer: -4993676.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2760*h**2 - 41397*h - 15. Give v(15).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2*l**2 - 96*l + 359. Determine p(44).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -523 + -3?\nAnswer: -526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -62.008 * -0.1\nAnswer: 6.2008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1016, -863, -734, -635, -572, -551?\nAnswer: -578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/16*1440\/324\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -11.84 and 1036.54?\nAnswer: -12272.6336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/3)\/((-10)\/6)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide (-8)\/40 - (130411\/(-5) - 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11132?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -75*v**5\/7 + 3450*v**4\/7 - 6588*v**3\/7 - 552*v**2\/7 + 1056*v\/7 = 0.\nAnswer: -2\/5, 0, 2\/5, 2, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-5)\/(-10))\/(4\/(-48)). Let m be (-5)\/4 + z\/(-4). Which is the closest to 0? (a) 4 (b) m (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 + 6*j + 4. Let x be d(-3). Let c = 13 + x. Solve -2*l = 2*y - c, l = 2*y + 3*y + 4 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 - 2 + 4)*(-2 - 2 + 3) - 5 + 1 + 2 - 5 - 1 + 4 + 6 - 1 - 1)*(-4*u**2 + 6*u**2 + 0*u**2).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-4)*(1 + 2 + 1). What is the tens digit of 0\/(-4) + 82 - 0\/j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 49, 35, 1, -59, -151, -281, -455, -679?\n\"Answer: -r**3 - 4*r**2 + 5*r + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 6*w**3 - 34*w**2 - 722*w + 14. Let x be l(21). What is the greatest common divisor of 112 and x?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100197.\nAnswer: 3, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 243517 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of -1 + 4 + -2 + 2089*14\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 634728.4m in kilometers?\nAnswer: 634.7284","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 o, and 1 k when three letters picked without replacement from koczh?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyioyoii. What is prob of picking 3 i?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3831889 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 18021 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 30 + 147. Let v = p - 174. Solve -v*o + 8 = -7 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((36\/54)\/(7\/36))\/((-15)\/(-140))\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*m**2 + m**2 - 185*m + 78 - 104*m.\nAnswer: -2*m**2 - 289*m + 78","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.7 - -0.7. Let z = o + 7. Is z smaller than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 156*r**2 - 338*r**2 + 99*r**2 + 96*r**2.\nAnswer: 13*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 4.4. What is the third biggest value in f, 3\/2, 0.3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*r + r - 20*r - 12*r + 2*r.\nAnswer: -25*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -23629530, -47259027, -70888524, -94518021?\n\"Answer: -23629497*k - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qggg when four letters picked without replacement from qqqqgqqqggq?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.05 * 12550\nAnswer: 627.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 11 + 2318\/(-427).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2213019 (b) -1\/3 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 687987?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 + 2. Let m(u) = -4*u - 5. Let c be m(6). Let h = 39 + c. Suppose -10*q + h = -5*q. Determine y(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -2*x**4\/3 + 4900*x**3\/3 + 26278*x**2 + 64116*x = 0.\nAnswer: -13, -3, 0, 2466","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 18 - 17 - 108\/26 - -3. Let b(x) = -x**3 + 4*x**2 + x - 1. Let o be b(4). What is the nearest to 0.2 in o, 1\/5, j?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -967 + 950.28. Let x = 2.02 + n. What is x rounded to 0 decimal places?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(3*(0 - 2\/(-8))). Let l be s\/(40\/(-162)) - 2\/10. Let w(x) = x**3 - 11*x**2 + x - 5. Let v be w(11). Solve v*t = 2*t + l for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-1))\/(17\/(-17))*-3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttt when three letters picked without replacement from yyttyyt.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 376286962.5000359 + -376286981. Let t = -18.5 - i. Round t to six decimal places.\nAnswer: -0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -35 - 1 - (104 + -109).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 - (27 + -16 + -12). Let l(s) = -s**2 - 2*s + 2. Determine l(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 80 + -55. What is the remainder when (6\/(-4))\/(12\/(-784)) is divided by i?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*v**2 + 4*v**2 + v**2)*(-3 + 3 + 1)*(-1158983663 - 3405*v + 1158983663 + 5*v**2) to the form g*v + r*v**3 + z*v**4 + b + h*v**2 and give z.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1642426499 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*f**2 + 4*f**2 + 2*f**2)*(-11 + 33 - 10)*(-2*f - f + f) to t + h*f**2 + s*f**3 + x*f and give s.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -3*d**2 + d. Let v(h) = 4*h**2 - 1. Let c(n) = -3*m(n) - 2*v(n). What is c(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 4*k - 7 = s, 5*s + 5*k = 40. Solve s*y + 8 = -2*o, 5*o + y + 20 = -0*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003597 to six dps.\nAnswer: 0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of -g**6\/360 + g**5\/120 + 5*g**3\/3 - 2. Let k(z) be the third derivative of y(z). Suppose k(t) = 0. Calculate t.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7\/35 + 12\/(-10). Calculate the remainder when (-17*(2 + -1))\/w is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24904 and 30847?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -81*v**5 - 552*v**3 + 631764*v.\nAnswer: -1620*v**3 - 3312*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(6)\/sqrt(3) + sqrt(2))*5 + -3 + (sqrt(2) + -1)*-2.\nAnswer: -12*sqrt(2) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1141, -3, 59119 in descending order.\nAnswer: 59119, 1141, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 668, -686, -1956, -3100, -4076?\n\"Answer: 7*d**3 - 1403*d + 2064","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**2\/2 - 4191*f\/2 - 51450.\nAnswer: -3*(f + 25)*(f + 1372)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 36*v**2 - 8 - 81*v**2 - 3*v + 45*v**2 - v**3 to o*v**3 + q*v + d + t*v**2 and give d.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1357082, -2713549, -4070016, -5426483, -6782950?\n\"Answer: -1356467*u - 615","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -762, 0.2 in decreasing order.\nAnswer: 0.2, -0.5, -762","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/(b*(b**(-5)\/b*b)\/b)*b*b**(-4\/7)*(b**(1\/7))**(-18) assuming b is positive.\nAnswer: b**(27\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17316 - 17324 = -4*p. Let l(i) be the first derivative of 0*i - 14 - 1\/2*i**p. Let u(y) = 28*y**2. Determine l(u(o)).\nAnswer: -28*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 94, -159, -1110, -3107, -6498?\nAnswer: -11631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 268 or 266?\nAnswer: 268","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*n = -2*x - 17*n - 14, 0 = 2*x + 5*n + 17 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 divided by -2?\nAnswer: -353\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -58198 * -5.\nAnswer: 290990","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4726 - 18905\/4. What is the nearest to m in -5, 1\/2, 295?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-1*(((sqrt(500) - (sqrt(500) + 1)) + sqrt(500) + 4 - sqrt(500) - sqrt(500)*-4*-5) + -5))**2.\nAnswer: 20000*sqrt(5) + 5000100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*f + 5*f - 33*f + f + 0*f + 4*f.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 121273 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/1 - 2\/9. Let z be 15*1*(-5)\/(-15). Suppose z = p - 0. What is the second smallest value in p, -0.2, n?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -5*z + 0 + 4*z - 4. Let x be w(-3). Let r = 0.64 - 0.34. Which is the closest to -0.1? (a) r (b) x (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*i - 2*i + 0*i)*(1 - 1 + 2*i) + 3*i**2 - i**2 - i**2 + 5*i**2 + 0*i**2 - 3*i**2 + 0*i - 2*i**2 + 0*i in the form v + w*i + x*i**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/19, 3\/7, -0.5, 4 in ascending order.\nAnswer: -0.5, -2\/19, 3\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8050*p**4 - 3*p**2 + 9*p + 4001927.\nAnswer: 32200*p**3 - 6*p + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -774 - -1362. What is the remainder when n is divided by 59?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -n**2*y**2*z + 217*n**2*y**2 - 5*n**2*z**2 - 34*n*y**2*z**2 + n*y**2 + 2*z**2 wrt z.\nAnswer: -10*n**2 - 68*n*y**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k**3 - k. Let r(v) = -3*v**3 - 2*v + 62. Let m(w) = -2*c(w) + r(w). Differentiate m(i) with respect to i.\nAnswer: -21*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 0.9, -3135 in increasing order.\nAnswer: -3135, 0.9, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 r when two letters picked without replacement from rgmfc.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (((-2)\/(-55))\/1)\/((-102)\/(-255))\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -14 - 1150?\nAnswer: -1164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 56 - 55. Calculate the highest common factor of t and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 70\/(-168)*(-12)\/20*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6495497 + 84485626\/13. Let h = -3399 + d. Do h and 2\/3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + -2. Suppose -k*g + 22 - 67 = 0. Calculate the common denominator of -97\/8 and (-192)\/g - 0 - -1.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -130 + 216. Suppose -6*n + 128 = 5*r - 2*n, 5*n = 4*r - v. Suppose 5*q = 7*q - 5*l - 12, -4*q = -2*l - r. Is 6 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 i when two letters picked without replacement from {p: 1, l: 1, i: 2, z: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - -171)*5\/2. Let c = x + -3829\/9. Are c and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1072200 divided by -357400.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 12396593 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/(-90) - (7\/(-15))\/(20 - 51772\/2795)?\nAnswer: 3\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(304) + (2 + sqrt(304))*-3 + -5 - ((sqrt(304)*-3)**2 + -3 + sqrt(304) + (2 + sqrt(304) + 0 + sqrt(304) + sqrt(304) - sqrt(304)) + sqrt(304)).\nAnswer: -2743 - 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1155 - 1146.09. Let j = -0.09 - z. Let y = -15.5 - j. Round y to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 60137 and 262416.\nAnswer: 2886576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*c**2 + 0 + 0)*(-3*c**2 + 5*c**2 + 0*c**2) + 18*c - 15*c**4 - 18*c)*(2 + 0 - 3 + (-1 + 4 - 5)*(-3 + 3 - 2) + 2 - 2 - 1 + 2 - 4 + 3).\nAnswer: -33*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2863 divided by 4?\nAnswer: -2863\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**2*c*c**2\/c*c*c)\/(c\/(c\/(c*c**(-1))*c)*c\/(c\/c**1)) assuming c is positive.\nAnswer: c**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 6*b + 22. Let u be v(-4). What is the nearest to 1\/3 in u, 8, 3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h + 139*h**3 - 304*h**3 + 170*h**3 + 16*h**2 to the form z*h**2 + g*h + v + n*h**3 and give z.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.2 and 4.46417566909.\nAnswer: 4.26417566909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -702*b**2. Let m(k) = 7*k**2. What is z(m(a))?\nAnswer: -34398*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5724*k**2 - 2*k - 2 + 2 - 5728*k**2.\nAnswer: -4*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -17.39, 986, -1\/4, -6, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*t - t + 10. Which is the nearest to -0.3? (a) 0.2 (b) 0 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 15*c + 4 + 7)*(2*c**2 + 3*c**2 - 6*c**2).\nAnswer: -15*c**3 - 3*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -137.9 + 147. Let c = w - 0.1. Let j = c - 9.3. What is the nearest to -1 in 4\/7, j, 0?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 69*g**2 - 81*g + 328. What is the ten thousands digit of l(26)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -3*z**3 + 82*z**2 - 104*z + 8. What is x(26)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*f - 6*f + 2*f)*(-4*f + f + 5*f) + (-2 - 3 + 7)*(85*f**2 + 97*f**2 - 135*f**2) in the form s + u*f**2 + z*f and give u.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**1*f\/(f**(-9)\/f)*f**16*f**15)**46 assuming f is positive.\nAnswer: f**1978","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -79 divided by 3.\nAnswer: -79\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.299 + 1.38. Round c to two dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 157, 515, 1109, 1939, 3005?\nAnswer: 4307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -9*u. Let m(g) = 5*g - 9. Suppose 2*j = -2*c - 7 - 19, 2*c - 5*j + 61 = 0. Let a(v) = -v + 2. Let k(w) = c*a(w) - 4*m(w). What is s(k(n))?\nAnswer: 18*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -10201 <= -10203?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011111100101110100000 - 100011?\nAnswer: -1011111100101111000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 122*p**4 + 295.\nAnswer: 488*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1 or 165?\nAnswer: 165","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3950988 is divided by 2268?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -97 - -120. Find the second derivative of -15*c**3 + 6*c**2 - 2*c + 25*c**3 + 1 + f + 38 - 2*c**2 wrt c.\nAnswer: 60*c + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 388449.518 to the nearest one thousand.\nAnswer: 388000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + sqrt(65)\/sqrt(5) - sqrt(13)) + 0)*6 + 3.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3159.9439 rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -5*g - 185 - 82, 3*g = -3*m + 369. Suppose -261 + 35 = 2*f + 5*j, -f + 4*j - m = 0. List the prime factors of 5 + -1 + -4 - f.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + c - 84 = 4*u, -c - u - 27 = 0. Let i be c\/6 - 14*1 - -3. Is -13 < i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31 times -7\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -g*o**3 + 2*g*o**2 + 78*g*o - 6*g - 17*o**3 - 5*o**2 - 2*o wrt o.\nAnswer: -6*g*o + 4*g - 102*o - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2147 a multiple of 106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*k = 14*k - 1334. Solve -n = k - 32 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54889 to the power of 1\/3, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 11 = -13. Suppose 0 = -o*v - 4*j, -4 = 5*j - j. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 4:11 PM?\nAnswer: 11:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2, 83, 318, 785, 1562?\n\"Answer: 13*k**3 - k**2 - 7*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12481059*h**6*y**2 + h**3*y**2 - 49*h**2*y**2 + 3152*h**2*y + 2*h**2 - 6*y**2 - y wrt h.\nAnswer: -1497727080*h**3*y**2 + 6*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -42\/17 - -176\/85. Let m = 11 - 8.75. Let b = m + -2.3. What is the smallest value in s, b, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of -k**2 - 3*k + 12. Let z(d) = 16*d + 31. Let c(f) = 24*f + 46. Let o(u) = -5*c(u) + 7*z(u). Calculate -9*j(h) + 2*o(h).\nAnswer: 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5*(-9)\/(-54))\/5*(-8)\/(48\/9).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 23*j**3 - 6*j**4 - 44*j**3 + 3*j**5 + 24*j**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 1\/9, 0, 258\/5 in ascending order.\nAnswer: -0.5, 0, 1\/9, 258\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1134522997 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*b - 19 = -22*b - 10*b. Put -360, 4, 5, b in increasing order.\nAnswer: -360, b, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 6, q: 7, d: 2}. Give prob of sequence bbb.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**4 - t**3 + t**2 - 2*t + 1. Let w(c) = 3*c**4 + 19*c**3 - 242*c**2 + 12*c - 6. Let m(s) = 6*k(s) + w(s). Find the third derivative of m(i) wrt i.\nAnswer: -72*i + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -106 + 447cd?\nAnswer: 446c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 171 a factor of 25010?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2023000 + -213223?\nAnswer: 1203111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 43.5345 and -0.503.\nAnswer: -21.8978535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -186, 13, 2, 3, -101, 0, -5 in descending order.\nAnswer: 13, 3, 2, 0, -5, -101, -186","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -17*l + 458. Let q be i(27). Sort 2\/9, -50, q, -2.\nAnswer: -50, -2, q, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -478 or 1\/6?\nAnswer: -478","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -44 - (31 + -71 + 15)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 2*z**2 - 6*z + 3. Let l be r(-5). Suppose -3*a = 5*s - 354, 0 = -4*a + 2*s + 3*s + 507. Let j = a - l. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13544*o + 6703*o + 7848 = -6623*o for o.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f**2 + 0*f**2 + 3*f**2)*(-15 + 32 + 15)*(-1 - 3 + 6).\nAnswer: -64*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10643 + -5775?\nAnswer: 2646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5b + 17?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 647650103 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4712 less than or equal to 116?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 - 2. Let a be l(-2). Let r(v) = 16*v**2 + 4*v**a - 3*v + v - 3*v**2. List the prime factors of r(-2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 341179?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-129)\/20 + 6)\/((-16)\/(-90)) and 3\/16.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 91901 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-13))\/((-4)\/((-10)\/(-45)*-9))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16667 (base 9) to base 11.\nAnswer: 8699","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 503*n - 1059*n - 1112 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -84784, -169566, -254348?\nAnswer: -339130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 - 12*s**2 + 13*s + 3. Let b be n(-13). Suppose w - 4*r = b, -5*r + 3 = -2. List the prime factors of 47\/w + 16\/56.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 31.662 - 0.562. Let c = -9.9 - a. Let y = c + 40.9966. What is y rounded to 3 dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12964, 12039, 10498, 8341, 5568, 2179?\nAnswer: -1826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/((u*u**5*u)\/u)))\/(u\/((u*u\/u**(3\/7))\/u))*u**(-2\/75)*u*u**(13\/6) assuming u is positive.\nAnswer: u**(3049\/350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 159398514 by 6122.\nAnswer: 26037","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of h**8\/1120 + h**5\/40 - h**4\/3 - 2*h. Let j(u) be the third derivative of c(u). What is the first derivative of j(v) wrt v?\nAnswer: 18*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a milligram in micrograms?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*a - a + a)*(-3*a**3 - 3*a**3 + 19*a**3) - 51*a**4 + 0*a - 27*a**4 + 0*a - 27*a**4 to the form z*a**4 + h + b*a**3 + q*a**2 + c*a and give z.\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Is 1388557 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 60 and 13788465?\nAnswer: 55153860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*(714\/60 + -12).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7970760*f + 69375466.\nAnswer: 7970760","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -5\/343?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dr when two letters picked without replacement from drdoddrdrrxbkdoo?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(245)*-2)*-1*6)**2 + 0 + ((sqrt(45) + sqrt(315)\/sqrt(63))\/(sqrt(441)*-1))**2.\nAnswer: 2016*sqrt(5) + 15622064\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -99467a (base 12) to base 7\nAnswer: -26455105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3\/9 + 812*t**2\/9 + 162077*t\/9 - 162890\/9.\nAnswer: (t - 1)*(t + 358)*(t + 455)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h + 18. Suppose -4*r + 435 + 85 = 0. Suppose 14*j - j = r. What is the remainder when l(8) is divided by j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30*(-12)\/(-1404)*(108\/(-20))\/(-3).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -55827\/55 - -1015. Let j = t - 47\/220. Let u = 0.063 - 1.063. Sort 4, j, u in decreasing order.\nAnswer: 4, j, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 27 - 27. Suppose 5*f = -a*f. Suppose 4*r + 8 = f, -2*z + 1 = r - 11. Solve 5*o + 2*c = 6*c + 2, z = -2*o - c for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00067080468 to 6 dps.\nAnswer: -0.000671","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.1 + -5.1. What is the third smallest value in 0.4, h, -1\/4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -480 divided by -30?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*12\/60*1\/(-4)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 929, 818, 715, 626, 557?\nAnswer: 514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 5 = -3*b + 20, -11 = 4*y + 5*b for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 divided by 6?\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/((-20)\/130 - (-46)\/286). Is 22\/n + 252780\/52 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1026998.\nAnswer: 2, 7, 109, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -2*n**2 + 28*n + 81. Let f be i(15). Suppose 0 = -5*m + b + f, 5*m - 59 = b - 2*b. Solve 0 = -m*d + 14*d + 9 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 76573842?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -o**2*p**3 + 92*o**2 - 27*o*p**3 - 2*p wrt p.\nAnswer: -3*o**2*p**2 - 81*o*p**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 1 = -p, 4604*p - 2 = 4601*p - 2*y for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*q - 12*q - 2*q.\nAnswer: -35*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of -b**7\/840 - b**4\/3 - 2*b. Let v(q) be the third derivative of k(q). Let x(o) = -2*o. Determine x(v(p)).\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of 1913 - 1935 + 2*l + 12*l**2 - 4*l. Differentiate q(f) wrt f.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 9, 19, 31, 45?\n\"Answer: z**2 + 7*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*w + 3*w + w)*(-2*w + 0*w + w)*(58 - 91 - 27) to the form d + m*w + u*w**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 224 + -126. Is 24 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange o**2 - 2 + 13*o**4 + 5*o**2 - 4*o**4 - 10*o**4 to the form d*o**3 + t*o + m*o**4 + x + k*o**2 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -187512*n**5 + 5*n + 302470 wrt n?\nAnswer: -3750240*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-22) + 1*2268\/198\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of 103*n**7\/42 - 11*n**4\/12 + n**3\/6 - 955*n**2\/2 + 4231*n. What is the second derivative of d(z) wrt z?\nAnswer: 2060*z**3 - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of -2*o**2 - o - 13. Let h = 3 + -4. Let g be j(h). Solve 0 = g*b - 2 + 14 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.0562786748 + 8465.4372586748. Let o = s + -8465. Let g = o - 0.38. Round g to four decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.051 - -1.051. Let t = -0.1 - -0.1. Let b = t - n. What is the smallest value in b, -3, 2\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3d5 (base 14) to base 8.\nAnswer: -1407","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*k - 54 = 16*k for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**4\/7 - 13053756*q**3\/7 + 21300068213442*q**2\/7.\nAnswer: 2*q**2*(q - 3263439)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7785759.8 + -1.2.\nAnswer: 7785758.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - -13. Suppose 7*p - 8*p - y = 0. Is (p\/(-6))\/((-4)\/(-144)) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -4*s + 1. Suppose -r + 1 = 0, -3 - 1 = -n - 5*r. Let i(h) = -h + 1. Let x(l) = n*i(l) + a(l). Let b(q) = -2*q**2. Determine x(b(d)).\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6130956 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (105 - 7*i**2 - 105 + (4*i - 3*i**2 - 4*i)*(-3 - 1 + 6))*(1 + 8 - 1) + 4*i**2 + 3*i**2 - 5*i**2 + (2*i + 1 - 1)*(-5*i + i + 5*i).\nAnswer: -100*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 20 = -7*x. Find the first derivative of -3*h**x - 7 + 27 - 6 + 4 wrt h.\nAnswer: -6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 2*h - 5*h = 14, -3*f - 4 = 5*h. Suppose 5*g + w = -3, 5*g - 4*w + 3 = 15. Solve g = -v - v - f for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/16 and -36\/7?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -2512, -4, -1, -122 in decreasing order.\nAnswer: -1, -4, -122, -2512","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 56 + -10156?\nAnswer: -10100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + -5.3. Let z be 6*(-3)\/(-27) - 11\/3. Which is the nearest to -1\/4? (a) z (b) 2 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 785 is divided by 99.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-1580.\nAnswer: 474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 114.01 + -114. What is the biggest value in 1\/9, y, 0.1?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1047\/13 or -82?\nAnswer: -1047\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-45)*(-1020)\/(-306).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16 + -10. Let d(w) be the second derivative of w**3\/3 - 9*w**2\/2 + 2*w. Give d(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 23, 31, 45, 65?\n\"Answer: 3*j**2 - j + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 388821200 to the nearest one million.\nAnswer: 389000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 289*a - 287*a. What is the smallest common multiple of 292 and a?\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1512 + 14004?\nAnswer: 12052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 + -3 - (694 - 698)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*m + 23*m + 12 = 0. Let q be 0 + m - (2 - (-3 + 4)). Calculate the least common multiple of (-3)\/((q - 4)\/8) and 1.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/42? (a) -5 (b) -0.3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w - 1. Let y(m) = -3*m + 3. Let q(i) = -8*v(i) - 3*y(i). Let r be q(5). Suppose 4*h + r = 20. What is the greatest common factor of h and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1151, 1149, 1137, 1115, 1083, 1041?\n\"Answer: -5*s**2 + 13*s + 1143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -34 + (-23 - (-58 + (-36 - -69)))\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-79009)\/(-2135) - (-3012)\/(-459330)\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of -y**4\/24 - 13*y**2. Let a(g) = -24*g. Calculate a(t(o)).\nAnswer: 24*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of -7*u**5\/20 - 9*u**4\/4 - u**3\/2 + u**2\/2 - 19*u. What is the hundreds digit of s(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-7)*13895\/794?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(((sqrt(272) - (sqrt(272) + 1))*3 + sqrt(272)*1 + -1)**2 + ((1 + sqrt(2448))**2 - sqrt(153)\/(sqrt(9)*-1 - sqrt(9)))).\nAnswer: -5474 + 15*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/96 and 53\/112.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -196, -179, -154, -121, -80, -31?\n\"Answer: 4*c**2 + 5*c - 205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 + 88*g + 1227. Let v be j(-17). Suppose -144 = -2*w + w + 4*i, 5*w - i = 701. What is the highest common divisor of v and w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 4*b + 10 = 0, -b = 3*a + 2*b + 33. Let i be (-6)\/(-3) + (3 - 2). What is the second smallest value in -4, -1, a, i?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*r**2\/7 + 834654*r\/7 + 92739\/7 = 0.\nAnswer: -30913, -1\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (108\/(-693))\/(236\/3894).\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 223805607 to the power of 1\/3, to the nearest integer?\nAnswer: 607","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c. Let z(a) = -52 - 55 + 107 + 268*a. Calculate z(x(v)).\nAnswer: 268*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 493.172 rounded to zero dps?\nAnswer: 493","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 8, -1\/2, -5 in increasing order.\nAnswer: -5, -1\/2, 0.1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 - 2*i**2 + i - 12. Give o(5).\nAnswer: -182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2*c**5 + 2 + (-2*c + 2*c**2 + 2*c)*(-c**3 + 3*c**3 + 0*c**3) + 1 - 1 + c**5 + 0 + c**5 + 1 - 20.\nAnswer: 8*c**5 - 19","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 2:56 PM?\nAnswer: 2:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 22+8266\nAnswer: 8288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9d - -57?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 7*f - 3. Let n be b(-3). Let l(u) = -u**2 + 1. Let t be l(5). Is t != n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50462000 rounded to the nearest 1000000?\nAnswer: 50000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -140, -147, -154, -161?\n\"Answer: -7*i - 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 - 3*k**2 - 3*k. Give b(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -6*1*(-1)\/(-3)*-43. Let c = 43 + k. Suppose -5*u + 2*y = -480, -2*u + 4*y + 63 = -c. What is the tens digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) -1\/35 (c) -7.4 (d) 0.6 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of 0*g + 0 + 0*g**7 + 1\/90*g**5 - 1\/120*g**6 + 5*g**2 + 1\/1008*g**8 + 0*g**4 + 0*g**3. Determine y so that x(y) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 7\/(-2)*(-5 - (-101)\/21). Let r = 0 + -3. Which is bigger: u or r?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 151790 - 151790 + 37*c**2 + 945*c**2. Let z(q) = -5*q. Calculate z(y(r)).\nAnswer: -4910*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 71930 to the nearest one thousand.\nAnswer: 72000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = 0, -3*a - t = -8327 + 8363 for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.02, 40, -2\/9, 2.46, 0.2 in ascending order.\nAnswer: -2\/9, 0.02, 0.2, 2.46, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 1)*(4*m**4 - 6*m**4 + 0*m**4) + 5*m**4 - 2*m**4 - 2*m**4.\nAnswer: -3*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1561 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2291 + 3?\nAnswer: -228e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 at least as big as 65\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 22 + 3. Let z(d) = -2 + d**3 + 4 - 3*d**2 + 6*d**2 - c*d. Suppose 3*o - 2*s = 7, 240*o = 253*o - 3*s + 32. Determine z(o).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 AM and 2:41 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/144)\/((-11)\/((-22)\/(-2))).\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 23 = 3*q - q, 2*q = -v - 11. Let p be 1*5 + (18 - 19 - -2). Which is the nearest to p? (a) -1 (b) v (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80 + (-82 - 44) + 57?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -s**3\/5 + 76*s**2 - 2567*s\/5 - 16412\/5 = 0.\nAnswer: -4, 11, 373","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1 + 0.4. Let x = -3.17 - -0.17. Which is the closest to -0.1? (a) x (b) f (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of 3*l**6\/20 - 17*l**3 - 31*l**2 + l. Let c(p) be the first derivative of m(p). Let w(u) = 4*u**2. What is w(c(v))?\nAnswer: 11664*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 38898 + -38896. What is the nearest to q in -0.1, -262, 1\/5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 17 = 10. Differentiate 4*x + 3 + u - 5 - 3*x with respect to x.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2*x**2 - 1. Let n be 54\/72 - ((-50)\/8 + 1). Let o(t) = 20*t**2 - 49*t - 6. Let k(m) = n*i(m) - o(m). Find the second derivative of k(c) wrt c.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s**5\/7 + 6*s**4\/7 - 4*s**3\/7 = 0. Calculate s.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (-10 - -5) - -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 PM and 9:35 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (132*l - 1040 + 519 + 523)*(3 + 26 - 7).\nAnswer: 2904*l + 44","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 34299 = 2*t, 8*y - 5*t = 3*y + 57140. What are the prime factors of y?\nAnswer: 7, 23, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5172 less than 153567915?\nAnswer: 153573087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.293956 decades in millennia?\nAnswer: 0.09293956","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 AM and 6:23 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-50)\/3*(0 - (-12)\/(-10)). Solve -2*l - 2*h + 4 = b, 4*h = -l - 17 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of -2*i**3\/3 - 92. Let u(s) = s**2. Give u(g(z)).\nAnswer: 4*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 71 + (42 - 40) - 131\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from {j: 4, y: 3, z: 2, s: 2}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5888 - -5864.17. Let v = c - -24. Let w = -0.03 - v. Which is smaller: 0.3 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + 0 + -2 + -9. Let n = 10 + c. Does 9 divide (n + -3)\/((-4)\/36)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19245\/21 - (-20)\/35 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 + 12*m + 13. What is a(-6)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*o = 32 - 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 5*q, 23 = 27*i - 28*i - 3*q for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.188 rounded to 1 decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 - -39. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -883 from -10.\nAnswer: 873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ziiietjiiiieiiiiiii. Give prob of sequence zz.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10463\/32944 - -33\/464. Calculate the common denominator of v and -11\/10.\nAnswer: 710","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2 - 10*d - 10. Suppose -5*v + 11*g = 15*g - 195, 2*v + g = 78. Suppose 19 = -p - 5*l - 13, 5*l + v = -2*p. Determine k(p).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-13)\/(a*(a\/a**2*a)\/a*a))**11\/((a**0*a**8*a)\/(a**(2\/21)\/a**1)) assuming a is positive.\nAnswer: a**(-3442\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2313a6 (base 11) in base 4?\nAnswer: 1121303123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -95*u - 190. Calculate t(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4.548 and -20098.329.\nAnswer: -20093.781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = -3*n + 3*z, -5*n - 10*z + 5*z = 20 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3 - 72066*w**2 - 649152510*w + 649224578.\nAnswer: -2*(w - 1)*(w + 18017)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 38\/99 and -155\/199332.\nAnswer: 2192652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 887, 1343, 1797, 2249, 2699, 3147?\nAnswer: 3593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + o**2 - 1)*(-1468 - 1313 + 3014).\nAnswer: 233*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 + -1)*2 - -2. Let q be v + 1 + -1 + 1. Let m(i) = i**2 - 3*i. Let x be m(3). Sort q, 3, x in ascending order.\nAnswer: q, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 611028 divided by 10?\nAnswer: 305514\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-7)\/3 - -4) + 1\/3. Let i(h) be the second derivative of 2*h + 2\/9*h**p + 0 - 1\/6*h**4 + 7\/27*h**3. Solve i(r) = 0.\nAnswer: -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qk when two letters picked without replacement from kwppq?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 + 84 = 6*m. Suppose -4*v + 22 = -4*x - m, 11 = 2*v - 3*x. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 + 28*f + 33. Let r be c(-25). Let x = r - -50. Solve 4*v - x = -0*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 11*t**2 - 13*t - 25. Suppose -w - 11 = 5*j, w - 1 = 5*j - 2. Is l(w) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6015, 23961, 53871, 95745?\nAnswer: 149583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -1, -0.226, -2\/15, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 163138916.\nAnswer: 2, 613, 66533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 5*m = -48. Let u(x) = -2*x. Let c(p) = p. Let w(g) = -6*c(g) - 2*u(g). Let y be w(-2). What is the greatest common divisor of y and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/3 (b) -25189 (c) -106\/43 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -9*d**2 + 4*d + 1. Let z(p) = 4*p**2 - 2*p - 1. What is 3*a(g) + 5*z(g)?\nAnswer: -7*g**2 + 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13064*q - 12996*q + 2244 for q.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 6*s + 130. Let c = s - -130. List the prime factors of c.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**16)\/c**(-1\/3)*(c**3)**(2\/73))**(-1\/41) assuming c is positive.\nAnswer: c**(-3814\/8979)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 12357483 to the power of 1\/3, to the nearest integer?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -9*p**2 + 41*p**2 - 21*p**2. Let v(y) = 12*y**2. Calculate d(v(w)).\nAnswer: 1584*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 - 1786*x - 347196. Give b(-222).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fpfofphff. What is prob of sequence ff?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 189142, 378313, 567522, 756787, 946126, 1135557, 1325098, 1514767?\n\"Answer: 3*t**3 + t**2 + 189147*t - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.313+393989\nAnswer: 393989.313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20 + -15. Put 3, 2, i in decreasing order.\nAnswer: i, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -4*t**2 - 18*t + 72. Give g(4).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 702.2907 meters in nanometers?\nAnswer: 702290700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.3 - 3.7. Let r = 4.6 + g. Let f = -0.6 - r. What is the smallest value in -0.5, f, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -119, -120, -121?\n\"Answer: -y - 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rbrrrrrrrrrr. What is prob of picking 3 r?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(14\/3)\/(u\/u**(-4)) assuming u is positive.\nAnswer: u**(-1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 710560.\nAnswer: 2, 5, 4441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19 + 20. Sort 2, h, -5 in descending order.\nAnswer: 2, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 195 + 169 = 2*x, 8*q - 5*x = 10*q + 44 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 93349*156\nAnswer: 14562444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + -2. Suppose -p - 1 - 21 = 0. Let z = p + 89\/4. Which is smaller: z or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.0959 and 371.\nAnswer: 371.0959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1763897?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 48\/(-36)*3 - 7\/(-8). Is k less than or equal to -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.074 - -0.104. Let p = w - 7.83. What is p rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - -1cfb2d?\nAnswer: 1cfb2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 8 + 0)*(-3 + 1 - 4)*(64*c**2 - 11*c**5 - 64*c**2).\nAnswer: 594*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -19*c + 17*c + 3*a - 3, 5*c - 18*a = -42*a - 102 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of -l**6\/720 + 17*l**5\/60 - l**4\/12 + l. Let m(g) be the third derivative of h(g). Is m(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 517?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 521350150?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum -35.68634 and -11070.\nAnswer: -11105.68634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -6885*d**3 - 3222*d**2 - 412*d - 8 = 0. Calculate d.\nAnswer: -2\/9, -2\/85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24 (base 11) to base 8.\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 60949 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t = 170 - 50. Suppose -23*o = -t*o - 165. Calculate the greatest common divisor of 33 and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 29\/198 - -20983\/1386. Let r = f + -15. Put 1\/5, 5\/3, r in ascending order.\nAnswer: 1\/5, r, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*f + 50888*f**3 + 2*f + 4*f - 50880*f**3.\nAnswer: 8*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3542738 to the nearest integer?\nAnswer: 1882","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 4*x - 8. Let n(g) = 4*g - 7. What is -4*f(m) + 5*n(m)?\nAnswer: 4*m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 + 15*l**2 + 60*l + 2. Give t(-8).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y + 3*y = -1375. Which is smaller: y or -0.6?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 59, 48, 25, -16, -81?\nAnswer: -176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (6*(-4 + sqrt(112) - -6*(sqrt(7) + 0) - (sqrt(252)\/(sqrt(6)*-1))\/sqrt(6)) + 5)**2.\nAnswer: -2508*sqrt(7) + 30849","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -3*z - 1148, -2311 = -2*u - 8*z + 11*z. Suppose 3 = u*d - 1162*d. Solve -v + 12 = d*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6459 + -116207\/18. Calculate the common denominator of h and 37\/15.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 0*h = -2*l + 24, 4*h + 5*l = 9. Let a(o) be the first derivative of -1\/2*o**2 - 3 - o. Determine a(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 80 + -83. Let m(g) = g - 1. Let d(n) = 2*n - 2. Calculate c*d(f) + 8*m(f).\nAnswer: 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8576*m**2*x**4 - 752*m**2*x**2 - 5*m**2 - 2*m*x**5 + 2*x**2 wrt x.\nAnswer: 205824*m**2*x - 120*m*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/42 and -71\/32025.\nAnswer: 64050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 AM and 4:40 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 160*j + 88*j + 109*j + 118*j - 375*j.\nAnswer: 100*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 451413 a multiple of 521?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -39\/4, -4.1, 1?\nAnswer: -39\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((4*(-2 + sqrt(2299) + (sqrt(2299) + 0 - sqrt(2299))))**2 - (sqrt(2299)*2*-3 + -4)**2) + -1.\nAnswer: -45930 - 1232*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7322 (base 8) to base 6.\nAnswer: -25322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1\/50 - -23\/100. Let l be 292\/28 + 9\/(-21). Suppose -5*x = -3*x - l. Sort f, 0.3, 1, x.\nAnswer: f, 0.3, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/(-96) + (-4)\/6)*6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-7) - (-46)\/(-14). Let v(m) = 2*m**2 + 3*m + 4. What is v(a)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111697 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1310\/(-30))\/((-4)\/24). Suppose 5*f - b = -3*r, 2*f - 5 = f. Calculate the remainder when r is divided by 28.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**1*i\/(i*i**(-3)*i*i)*(((((i**4\/i)\/i)\/i)\/i)\/i*i)\/(i**(-3\/7)*i))\/((i*i*i*i*(i\/i**0)\/i*i)**(2\/13)\/(i**1)**47) assuming i is positive.\nAnswer: i**(4337\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 44 = 4*b, -118*k + 4*b + 38 = -119*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lv when two letters picked without replacement from blpnppbpobpbpopbpbbv?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/18 - (-86)\/(-18). Suppose 27*f + 9 = 30*f. Suppose 0 = 4*i - 14*i - 70. Sort f, d, i in descending order.\nAnswer: f, d, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + -2 + sqrt(304) - -6*sqrt(475))**2 + ((sqrt(76) - (-1*sqrt(76) - sqrt(76)))*-2)\/(sqrt(4) + sqrt(4) + sqrt(16)*2).\nAnswer: -141*sqrt(19) + 23279","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 103 + -330?\nAnswer: -221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + -22132?\nAnswer: -22201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, 1.2, -6716 in descending order.\nAnswer: 2, 1.2, -4, -6716","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 49 - (449 - 373).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the third derivative of -5*n**4\/6 - n**3\/6 + 4*n**2. What are the prime factors of y(-1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/10 and 163\/45180.\nAnswer: 45180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 + 16. Let u = r - 3. Let a(w) = w**3 + w**2 + w + 7. What is the units digit of a(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and -3226494.\nAnswer: 9679482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -194 - -196. Suppose -4*d + 7*z - 12*z + 52 = 0, i*d - 32 = -z. What is the lowest common multiple of 114 and d?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (7\/42)\/(2\/64). Let y = 14\/3 - j. Let q = -4\/3 - y. Put -2\/11, -2\/7, q in ascending order.\nAnswer: q, -2\/7, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 98632.96 litres?\nAnswer: 98632960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14242, -28510, -42780, -57052, -71326, -85602?\nAnswer: -99880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f. Let a(z) be the second derivative of z**3\/6 + z**2\/2 - 2*z. Let x(v) = -4*v - 2. Let l(t) = -2*a(t) - x(t). Give y(l(s)).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -114ab0 (base 12) in base 16?\nAnswer: -43e24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.25 and -5336.\nAnswer: -6670","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -7*z**3 + z - 1. Let x be k(1). Suppose 5*g = 8 + 2. Suppose 4*s = -0*s - 4*t - 12, 5*t - 6 = -g*s. Is s at least x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c**4 - 3956*c**3 + 100768*c**2 - 639952*c + 908544 = 0. Calculate c.\nAnswer: -1014, 2, 7, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*q + 176*q - 81*q.\nAnswer: 39*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*f - 1216 = 3*f - 76*f for f.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = 56*z - 54*z. Let n(f) = 2*f**2 + 6*f - 2. Let i = 11 + -7. Calculate the remainder when n(i) is divided by z.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 (base 11) in base 12?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7642 - 30573\/4. What is the second biggest value in 3\/7, a, 5, -0.08, 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -701 divided by 1.\nAnswer: -701","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -8 + (-1 - 0) + 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 52, 14, -84, -242?\nAnswer: -460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8 + (16 - 4))*3\/(-12). Let c(r) = -4*r - 10. Suppose -4*o - 7 = 5. Let z be c(o). Sort 0, j, z, -26 in increasing order.\nAnswer: -26, j, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 396 - -3?\nAnswer: 399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 20 = o, -55111 = -6*o - 9*i - 55054 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11838 + 18677. Let p = j + -136881\/20. What is the common denominator of ((-22)\/8)\/(-2 + -2) and p?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 + 2\/5)\/(1\/10). Let v = -15 - -44. Let d be 2\/(3*6\/45). Solve -3*a + d*b = -35, b + v = a + g*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -869? (a) -0.2 (b) -1 (c) -5 (d) 806 (e) 1 (f) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -644 - -657. Calculate the highest common factor of 13 and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17 - -20. Suppose -u*h + 13 = -5. What is the highest common factor of h and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*i + 0*i - i)*(-4 + 5 - 3 + (-1 - 8 - 5)*(0 - 2 - 1)) to the form r + x*i and give x.\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 6 = -4*m, 0 = -4*y + 4*m + 8. Let d = -3.3 + 3.5. Let x = 0.97918 - -0.02082. Which is the closest to -0.1? (a) y (b) d (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - 6.6. Let k = -0.7 - b. What is k rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6961298.083 to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1 - 5) + 5)*-7. Solve u*z - 21*z = 56 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - 6) + (4 - 10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -98802606 or -98802607?\nAnswer: -98802606","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + f - 2)*(-28 + 3 - 9).\nAnswer: -34*f + 34","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 149 times -0.02\nAnswer: -2.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 - 7. Suppose k*x + x - 148 = 0. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -11*o**3 + o**2 - 2*o. Suppose -3*r + 2*r = 2. Let m be p(r). Suppose -2*v = 2 - m. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.3 (b) 33 (c) -5388 (d) -32 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 235167115*v**3 + 3*v**2 + 18*v - 408140 wrt v.\nAnswer: 1411002690","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 908056, 908054, 908052, 908050?\n\"Answer: -2*o + 908058","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 5:06 PM?\nAnswer: 4:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/3)\/(4\/240). Let h = 6 + o. Does 13 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 4.498762l?\nAnswer: 4498.762","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.14 - -2.04. Which is the closest to -0.1? (a) w (b) 2\/9 (c) 1 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of s**6\/360 - 7*s**5\/60 + 3*s**4\/8 + 9*s**2. Let j(v) be the second derivative of a(v). Let d be j(6). Is -4 greater than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -427.2 + 427. Which is the closest to 1? (a) 4\/5 (b) -1 (c) x (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 + 82*v**2 + 169*v + 678. What is x(-80)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 5*h + 18816 - 184796, 0 = 2*h + 8. Does 12 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 434, 533, 646, 779, 938?\n\"Answer: i**3 + i**2 + 89*i + 343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1535\/7 + 219. Which is the nearest to -4.9? (a) d (b) 2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16297112 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = s - 26. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121 = -30*o + 165 + 256 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 485664 and 22.\nAnswer: 5342304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (28 - -4) + 3 + -37?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (7 - ((-2 + 5 - -8) + 0))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18979 - 4915521\/259. Let n = -23152\/2331 + d. Let i = n - -10. Which is smaller: -1 or i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 180 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-5*4\/(-60)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -834149*w + 417124*w + 417028*w.\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -20 + (14 - -3 - 11)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5 - (-3 - -5) - -1. Suppose 3*u + z - 9 = -2*z, f*u - 2*z - 42 = 0. Differentiate -1 + 6*m + u - 10*m + 0 with respect to m.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36790751 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of 146803025 and 84.86.\nAnswer: 146803109.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 8635.\nAnswer: -3\/8635","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 208282?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, 0.06, 1\/5, -136 in descending order.\nAnswer: 1\/5, 0.06, -2\/11, -136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = r + 16. Let x(f) = -4*f**3 + 29*f**2 - 8*f. Let w(n) = n**3 - 7*n**2 + 2*n. Let l(c) = -9*w(c) - 2*x(c). Give l(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 30, -4, -18620 in descending order.\nAnswer: 30, 0, -4, -18620","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, d: 3}. Give prob of sequence dhd.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -2*t**2 - 40*t - 142. Let y be d(-5). Is y at least -4\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-5)*(-10)\/(-12)*6?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 916, 917, 918, 919?\n\"Answer: v + 915","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1853 rounded to 3 decimal places?\nAnswer: 0.185","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, i: 2, j: 1, d: 1}. What is prob of picking 1 i and 1 k?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2 + w + 3. What is z(-5)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = 94\/1595?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 175 - -2?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-12)\/(-28) + (-6144)\/28. Let y = -213 - o. Solve 0 = -y*g - 11 + 35 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r**(-3\/2)\/r))**(14\/5)*r*r*r**(-7)*r*r**(-7\/4) assuming r is positive.\nAnswer: r**(81\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7779 - 15554 + 7775 + a.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, k: 7, m: 11}. What is prob of sequence kk?\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-103307)\/(-3))\/(10*18\/540) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 p when two letters picked without replacement from rpprpppp?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16084?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1213\/4 + 305. What is the third smallest value in 0.3, j, -2\/11?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/(-2)*(-355)\/(-213). Calculate the common denominator of -19\/11 and 3\/(-2) + (-1053)\/(-2600)*w.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -1.935, -2\/3, -5, -0.18 in descending order.\nAnswer: 0.2, -0.18, -2\/3, -1.935, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 156.1 and -585?\nAnswer: 741.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -218*z**4 + 4*z**3 - 487*z**2 wrt z.\nAnswer: -5232*z + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d + 2. Let w be -1 - 4\/(-6)*-6. Let j be c(w). Find the third derivative of a**3 + 4*a - j*a**2 - 3*a - a wrt a.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 15470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of -d**5\/10 + 1041*d**4 - 4334724*d**3 + 9024895368*d**2 - 9394916078088*d - 6121. What is t in a(t) = 0?\nAnswer: 2082","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - v = -58. What is the remainder when v is divided by (15\/(-4) + 3)*-36 - 7?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1171.23 to the nearest one hundred.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*c + 394 = 160*c. Solve 5*a + 3*n = 6*a - c, 2*n = 4*a - 8 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 222043.56 rounded to the nearest one thousand?\nAnswer: 222000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of 0*s**4 + 1\/60*s**5 + 0*s + 0*s**3 + 6*s**2 + 0. Let h be m(-2). Is h equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 96396*h*q - 136*q + 899 wrt h?\nAnswer: 96396*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*f + 136 = 23*f - 17*f for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2 + 52*i - 395. Let u be t(10). Which is smaller: 1\/4 or u?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 173?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000777 to five dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 PM and 3:50 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 4*s = -2*s - 11, 5*s + 8 + 16 = 5*s - 3*s + 3 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21 - -12. Let m = -8.5 - l. What is the biggest value in -6\/11, -0.4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the third derivative of 11\/3*c**3 + 0*c**4 - 36*c**2 - 43\/120*c**6 + 0*c**5 + 0 + 0*c. What is the derivative of l(x) wrt x?\nAnswer: -129*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 9\/2 - 1\/2*m**2 + 0*m = 0. What is m?\nAnswer: -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 917 by -6.\nAnswer: -917\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - b - z + 5414 = 0, 5*z = b - 1794. Let j = -1029 + b. What are the prime factors of j?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 18 = -5*l. Suppose -4*q + l*z = -4, q = -5*z + 2*z - 14. Is q less than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/(-4)*(-16)\/(-12). Suppose -y = -u - 6, 0*u + 2*y + 24 = -4*u. Let s(l) = -l**2 - 6*l + 4. Let k be s(u). Sort 2, k, g in descending order.\nAnswer: k, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -12*v - 5. Suppose 54 = -4*y + 2*j, 2*y - 5*y - j = 48. Let k be h(y). Let t = k - 94. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h**3\/9 + 746*h**2\/9 - 1844*h\/9 + 736\/9 = 0. Calculate h.\nAnswer: 1\/2, 2, 184","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -83 + 99. Let k = 992.063 + -1008.06234. Let t = k + h. What is t rounded to four decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*w + 20*w + 12. Solve 2*m = 4*x + 2, -m + 4*x = w*m - 12 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**3 + 135*a**2 - 770*a + 960.\nAnswer: 5*(a - 3)*(a - 2)*(a + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 863? (a) -0.2 (b) -0.02 (c) -1.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -35 - 3*f**3 + 35 + (-2*f - 2*f + 5*f)*(-2*f**2 + 4*f**2 - 4*f**2) + 2111*f**2 - 2111*f**2 + 290*f**3.\nAnswer: 285*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 - 3*y**2 - 2*y - 3. Let p be o(-3). Suppose -t - p = -0*t. Let n(d) = 2*d**2 - 4. List the prime factors of n(t).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00331 to 3 dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -179, -2, -0.3, -232, -4, 39 in increasing order.\nAnswer: -232, -179, -4, -2, -0.3, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 39864 and 66440?\nAnswer: 199320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 116681915?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of n**4\/12 + 7*n**2. Let i(z) = 10*z. Give i(m(d)).\nAnswer: 20*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -176*o**2 + 948*o - 3. Let t(b) = 5*b. Give d(t(j)).\nAnswer: -4400*j**2 + 4740*j - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1155*y**3 - 18*y**4 - 1151*y**3 + 0 + 1 + y - 4*y**4 - y + (-y**2 + 0*y + 0*y)*(-2*y**2 - 4*y**2 + 4*y**2).\nAnswer: -20*y**4 + 4*y**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 202?\nAnswer: 1616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34, 372, 1316, 3166, 6222, 10784?\nAnswer: 17152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -25*f**2 - f - 38. Let v be 200\/16 - (-1)\/(-2). Let o be i(v). What is o rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 4*g - 76 = 0, -2*l = 5*g - 14 - 23. Let y be 5*-16*(-10 + 3003\/105 + -19). Calculate the greatest common divisor of l and y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 4\/5 (b) 1\/6 (c) 2\/3 (d) -306.16 (e) -0.23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4330 + 4333. Let u(q) be the first derivative of 0*q**5 - 4\/3*q**6 + 0*q**4 + 15 + 0*q + 5\/3*q**a + 0*q**2. What is the third derivative of u(j) wrt j?\nAnswer: -480*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18183 is divided by 728?\nAnswer: 711","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 2*v = 9. Suppose -2*r - 3*p - v = 12, -5*r - p - 5 = 0. Solve -4*h + 5*h - 2 = r for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 8*r. Let f(k) be the first derivative of k**3\/3 + 6. What is b(f(t))?\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -2*w**2. Let a(m) = m**2 + m. Let s be a(1). Suppose -4*i + 2 = -2*z - 14, 0 = 5*z - 3*i + 5. Let u(q) = -4*q**z + q**2 + 4*q**s. What is u(f(l))?\nAnswer: 4*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = -3*c + 11, 4 = -4*i - 4*c + 8 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pmispsiiqiis. Give prob of sequence sp.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 2267*w**2 - 37*w - 44*w + 81*w in the form i*w + b*w**2 + r and give b.\nAnswer: -2267","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 289698926?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 244*a = 82*a + 324 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 3*o**2 + 70*o - 530. Calculate j(-50).\nAnswer: 3470","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 d when three letters picked without replacement from {d: 15, s: 4}.\nAnswer: 140\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1477255?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 491 and 776229756?\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73097?\nAnswer: 67, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 242244442 (base 5) in base 8?\nAnswer: 4247444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 162 is divided by 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - -1. Let i be 2\/2*(-4 + 4\/1). Suppose i*w**2 - 1\/3*w**5 + 0*w**3 + a - 1\/3*w**4 + 0*w = 0. What is w?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -4\/7258275 and 31\/675.\nAnswer: 7258275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -107*z + 210 + 111 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 20 = 10. Let p = 10 + -10.2. What is the nearest to j in -1, -1\/3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 4 = -4. Let z = 8 + h. What is the common denominator of 89\/2 and (1 - 114\/z) + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 + 10*y**2 + 19*y + 15. Is 21 a factor of c(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 - 49*z**2 + 137*z + 45. Let r be h(46). Sort -2, r, 5.\nAnswer: -2, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.95 - -4. Let m = 0.15 - j. Let d = 0 - -0.2. Is m greater than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 32*n - 3422. Let l be t(107). Let k(d) = -d**2 - 8*d - 1. Let p(g) = -7*g. Determine l*k(s) - 3*p(s).\nAnswer: -2*s**2 + 5*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1\/58676 - -117343\/528084. Find h such that 0*h + 0 - 2\/9*h**3 - l*h**5 + 0*h**2 - 4\/9*h**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 208 = 3*h - h, 0 = -5*w. List the prime factors of h.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1237 (base 11) to base 7\nAnswer: 4463","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + -16 + 7 + 5?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 174 a factor of 14215?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 138480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 14388969 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4296 - -4192. Sort 2, k, 2\/25 in increasing order.\nAnswer: k, 2\/25, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9757084ug in kilograms?\nAnswer: 0.0000000009757084","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31*j - 4*j**2 + 2*j**2 + 2741344 - 2741455)*(-3*j**2 + 2*j**2 - 2*j**2)*(2 + 4 - 3).\nAnswer: 18*j**4 - 279*j**3 + 999*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(4\/2) - -22. Let d(i) = -10 - 2 - 5 + 2*i + 3. Let j be d(10). Solve m = -k + j*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.3 (b) 1\/116 (c) -21\/4 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 15*p**2 + 3 - 4)*(1 + 2 - 2)*(-1 + 6 - 2)*(0 + 1 + 2).\nAnswer: -135*p**2 - 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 201*l**2 - 321*l**2 + 122*l**2.\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 16*c**2 - 4*c + 11. Let v(n) = n**2 + n + 1. Let i(k) = l(k) - 4*v(k). Suppose 24 = 2*r + d, -19*r - 3*d + 48 = -15*r. Is i(r) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5512 and 318.\nAnswer: 16536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/(-9)*-6*(-2)\/(-8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 PM and 5:38 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 11665 (base 11) to base 6\nAnswer: 205345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 26*c - 265 = 5*q + 31*c, 0 = -3*q + 98*c + 5194 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-6)*(-196)\/42?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (1\/16*(-84)\/105)\/(-10*(-90)\/(-750))\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9392 + 9492. Calculate the greatest common divisor of d and 7100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8188290 divided by 74439.\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 2*k**3 + 7*k**2 - 7. Let i(n) = -2*n**3 - 6*n**2 + 6. Suppose 83*a + 256 = 19*a. Determine a*l(z) - 5*i(z).\nAnswer: 2*z**3 + 2*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m. Let r(q) = -19*q**2 - 14*q + 3. Give a(r(d)).\nAnswer: -19*d**2 - 14*d + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(363)*-2)**2*-4 - (sqrt(192)*2 + sqrt(30)\/(sqrt(10)*1) + 5)**2.\nAnswer: -29932 - 170*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + 4 + (-4 - (-1 + 0)). Suppose 2*o + y + 28 = 246, -5*y = s. Let l = -94 + o. Calculate the remainder when 146 is divided by l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2896, 5943, 8988, 12031, 15072?\n\"Answer: -b**2 + 3050*b - 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/1944 and -43\/104209092.\nAnswer: 208418184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9\/12*10\/(-9). Let f = -333 - -1001\/3. Which is the closest to m? (a) f (b) -0.2 (c) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -5*v**4 - 12610*v**3 - 188265*v**2 - 601900*v - 551540 = 0.\nAnswer: -2507, -11, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-2\/5)*(r*r**(-1\/4))\/r)**(-1) assuming r is positive.\nAnswer: r**(-23\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_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: Put 18, 0.26, 5, 1\/30, 0.3, 325\/6 in decreasing order.\nAnswer: 325\/6, 18, 5, 0.3, 0.26, 1\/30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do 2\/10205 and -15 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from akkakak. Give prob of sequence kkak.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 27*m - 6. Let a be n(1). Solve -3*f - 15 + a = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (30 + (-52 - -28))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c. Let t(m) = -m**2 - 1. Let y(o) = -36*o**2 - 30. Let z(b) = -30*t(b) + y(b). Determine z(d(h)).\nAnswer: -24*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 0, 435, -100, 0.3.\nAnswer: -100, 0, 0.3, 0.4, 435","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iniifinindimniifi. Give prob of sequence di.\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.012333 rounded to three decimal places?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -3*i + 4*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5 + 20)*1\/5 - 5. Suppose n + 5*n - 236154 = x. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.05+-61304306365\nAnswer: -61304306364.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -408.889946+0.1\nAnswer: -408.789946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1790, -3582, -5374, -7166, -8958, -10750?\nAnswer: -12542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 + 6*c**2 + 9*c - 9. Let o be v(7). Suppose -5 = 2*d - 3*f, 0*f - 3*f + 9 = 0. Solve -o*i + d = 7 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-268)\/(-5))\/(1\/5) is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 198*(30\/9 - 2). Suppose 3*n - 7*n = -f. Is n\/(-4)*(-50)\/15 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 1 = 7*n, 112*x - 117*x - 6*n - 38 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 0, 4*t = 2*i - 13 - 27. What is the remainder when 4*((-50)\/(-8) - -3) is divided by i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 280*f + 7*f**3 - 28*f**2 - 13*f**2 - 284 + 3*f**3 - 11*f**3 - 26*f**2 = 0?\nAnswer: -71, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f**(2\/5))**(-37))**(-2\/11))**(-3\/7))**(-2\/81) assuming f is positive.\nAnswer: f**(296\/10395)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.177 rounded to 1 dp?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, l: 3}. Give prob of sequence ln.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = d + 2, 7 = -d + 4*a + 1. Let j be 66\/14 + d\/7. Suppose 4*h + 5*z + 7 = -0*h, 9 = -3*h - j*z. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - ((0 - 4) + (-1 - -1 - -9)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1700 and 250?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -747 - 882 = -3*c. What is the hundreds digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, -1\/2, 1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3918*q = -383*q - 9628 + 6708 + 45340 for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 21747342 a multiple of 87?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -147*k - 9. Let y(a) = 49*a + 3. Let z(b) = 6*h(b) + 17*y(b). Let q(c) = -c**2 - 6*c + 5. Let i be q(-7). Is z(i) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, 4 in descending order.\nAnswer: 4, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 818, 814, 806, 794, 778?\nAnswer: 758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/sqrt(3) + 2 + -2*sqrt(8)\/sqrt(4).\nAnswer: -sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 4556845\nAnswer: 1822738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -23, -1, 61, 175?\nAnswer: 353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - 1ca09?\nAnswer: -1ca0a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 6*b**2 + 8*b - 8. Let u(n) = n**2 + 9*n + 9. Let f be u(-6). Let k be (10\/30)\/((-1)\/f). Let r(z) = -2*z**2 - 3*z + 3. Determine k*v(y) + 8*r(y).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.29 + -11.29. Let q = -10.9 - x. Let s = q - 2.1. What is the closest to -1 in 1\/2, s, 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3040404 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3315\/12376)\/((-25)\/(-420)).\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oggjllovgog. What is prob of picking 1 l and 1 o?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2241 divided by -747\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -97 - -105. Let y be -8 + i + (-5)\/(-1). Suppose -8*n = -y*n - 7413. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 434032445*k**3 - 9548900130*k**2 + 4099500*k - 440.\nAnswer: 5*(k - 22)*(9317*k - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -262 (base 10) to base 13.\nAnswer: -172","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y**2 - 9*y. Let t be s(6). Let a = t - 4. What is the remainder when 25 is divided by a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 11875 - 108869. Let k = -48286 + w. Round k to the nearest one thousand.\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 336 - 4371\/13. Let d = 40\/117 + k. What is the biggest value in -5, d, -7?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 54*h + 3 + 3)*(8*h**3 - 14*h**3 + 18*h**3) - 23*h**3 + h**4 - 5*h**2 + 23*h**3 to the form f*h + v*h**2 + y*h**3 + g*h**4 + p and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kbbxbbxvm. What is prob of picking 1 v, 1 m, and 1 b?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 12 = -4*t, -6*t = -2*t for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - 38. Let j = i - -32. Let q be j\/4 + 70\/4. Which is smaller: q or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 5, p: 3, k: 1, i: 1, r: 1}. Give prob of picking 1 n, 1 k, and 2 p.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1538, -1966, -2686, -3704, -5026?\n\"Answer: -f**3 - 140*f**2 - f - 1396","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*f = 50*f + 3540. Suppose 4*t + 3*x = 1149 + 107, 0 = t - 4*x - f. Which is smaller: 312 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -75201*t + 2347. Is m(-12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -67 + 87. Let o(m) = 51 - 28 - s + m. Let h be o(1). Solve -h*i + 2*i = -10 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 - 6*n - 18. Determine k(9).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 77*w - 148 - 545 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p = -296*p - 6847 + 41739. Suppose 0 = c - 11. What is the smallest common multiple of c and p?\nAnswer: 1342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.536 to two dps.\nAnswer: -1.54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -3*w**2 - 12*w - 16. Let q(c) = -c**2 - 5*c - 8. Give -2*l(u) + 5*q(u).\nAnswer: u**2 - u - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9*(3 + -2)*(-2)\/(-6). Solve 3 = h*i + 9 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*6\/2*1. Let b be x\/18 - 397\/(-6). Calculate the highest common divisor of 6 and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 381857, 381856, 381855, 381854, 381853, 381852?\n\"Answer: -r + 381858","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7 + -174?\nAnswer: -181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*u - 4*z, -31*u + z = -34*u + 9. Solve -3*m + m = u*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2 - 4*o + 2. Let p(b) = -b**2 + b - 1. Let v = -6 - -4. Let s(i) = v*p(i) - t(i). Give s(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 9:27 AM?\nAnswer: 6:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 247594?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 46\/(-598)*26 - ((-28)\/2 - 1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (21468\/(-11))\/((-35)\/25). Let m = 2904841\/616 - g. Let t = m - 3309. What is the common denominator of 121\/12 and t?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(5\/6)\/y**(2\/5))\/((y\/y**(-4\/7))\/(y**(-3\/2)*y)) assuming y is positive.\nAnswer: y**(-172\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*g**2 - 41425312*g + 20308951.\nAnswer: -4*g - 41425312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21.63 + -22. Let d = 3 + -3.03. Let i = d + u. Which is the third biggest value? (a) -5\/2 (b) 0 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14.5 - -0.0033\nAnswer: -14.4967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 50917348150222 and 0.2?\nAnswer: 50917348150221.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1198483*c**3 - 864927*c**2 + 3*c wrt c.\nAnswer: 7190898","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -20*x - 11. Let q(g) = 5*g**2 + 34*g - 4. Let c be q(-7). Suppose s = -3, 3*s + 27 = -c*z - s. Does 20 divide o(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 16442*h*y**2 + 2*y**2 + 15220 wrt h.\nAnswer: 16442*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 5 - 59713*x - 9.\nAnswer: -59713*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -136*g**3 - 202*g**3 + 543*g**3 + 377*g**3 + 96*g**3 + 301*g**3.\nAnswer: 979*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2*l + 1. Let h(b) = 2*b + 1. Suppose 345 = 51*u + 39. Let j be 147\/12 - 1\/4. Suppose 0 = -2*k + 2 - j. Calculate k*h(p) + u*x(p).\nAnswer: 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -89, 269, 639, 1027, 1439, 1881, 2359?\nAnswer: 2879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - 0) + -3 + (7 - 4). Let a(t) = -3 + b*t - 21*t**2 + 23*t**2 - 2*t. Give a(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 3 = -3*f, -3*f = -n + 16. Is n a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 26*n + 10. Let d = -11 + 18. Let t be m(d). What is the tens digit of 12\/20 + t\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 352*o - 3133 - 6723 for o.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 17*y**3 - 9*y**2 + 13*y + 15. Let l(n) = 8*n**3 - 4*n**2 + 6*n + 7. Suppose -5*a + 25 + 20 = 0. Let o = 4 + a. What is o*l(j) - 6*r(j)?\nAnswer: 2*j**3 + 2*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*z + 132*z = 7606105. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00101786 to 5 dps.\nAnswer: -0.00102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 373377971 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = -5*b + 24, -5*a + 24 = 4*b - 3*a for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lj when two letters picked without replacement from lifzijjfjhfj.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -5850*k. Let o(f) = -2*f. Determine o(y(v)).\nAnswer: 11700*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of 5*i**3\/6 - 91*i. Let f(q) = -5*q**2. Give f(x(n)).\nAnswer: -125*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3776980?\nAnswer: 2, 5, 127, 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of m**4\/12 - m**3 - 4*m**2. Let s be q(5). Let h = -12.1 + 12. Which is the closest to h? (a) s (b) 0.2 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 41 - 42. Let m = 19 + j. Suppose -2 = r, 2*s - 4*r - m = -4. Solve -2*z - z - s = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18147993 - -0.9.\nAnswer: -18147992.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 - 33. Is -23 <= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 437 is divided by 280.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 915369?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (1*2)\/(683\/683)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = -4 - 5 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - -10) + (-5 - -6) + 9?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 3243 + 979. Let g = i + -501. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * -84502.\nAnswer: -422510","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6695039 divided by 13919.\nAnswer: 481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 - 11*n - 19. Let h be k(17). Suppose -p + h = -0*p. Let j = p + -77. Calculate the least common multiple of j and 1.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5315, 5139, 4653, 3701, 2127, -225?\nAnswer: -3511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 4*j + 5 = 0, -19 = -3*v + 4*j - 2*j. Suppose 4*k + v = 3. Let d be 4\/38 - (-72)\/38. Solve k = 4*w - d*w - 2 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 + 2 = 4*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, -28, 0.3 in increasing order.\nAnswer: -28, -4, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2942.83 rounded to the nearest 100?\nAnswer: -2900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/31, 7.6, 2\/25, -1\/11.\nAnswer: -1\/11, 1\/31, 2\/25, 7.6","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = 5*j - 6*k, j + 19 = 19*k - 16*k for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 11, t: 9}. What is prob of sequence cctc?\nAnswer: 99\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*(-13)\/(663\/34).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 77.6.\nAnswer: -77.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 18 + 25*j - j**2 + 3 + 0*j**2. What is the tens digit of o(22)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -32.78321 + -0.06959. What is q rounded to the nearest integer?\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2971368\/13 or -228568?\nAnswer: -228568","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 665858322 to the nearest integer?\nAnswer: 873","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 25096140 to the power of 1\/4, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -5 - 670\/(-15)*-3. Let p = x - -143. Suppose -5*j = 12*q - 14*q + 529995, p*j - 4 = 0. What is q rounded to the nearest 10000?\nAnswer: 270000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*d - 7*d - 104*d**2 - 4*d + 6*d + 2*d as z*d**2 + q + s*d and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in thirty-one fifths of a minute?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15 + 12. What is the closest to -2 in -1\/3, r, 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 97, 192, 283, 364, 429, 472, 487, 468?\n\"Answer: -t**3 + 4*t**2 + 90*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, v: 2, g: 1}. Give prob of picking 1 g and 1 k.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 337*j + 8090. Determine n(-24).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 4 - 9 + 7*m + 3*m**2 - m**3 - 8*m + 10 + 2*m - 12*m**2. Suppose 2*q + 17 + 1 = 0. What is l(q)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86173 is divided by 639.\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 812 to the power of 1\/2, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 11*x + 3. Give l(-2).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*v - 14*v - 20 = 0. Let p(q) = q**3 + 9*q**2 + q + 1. Let h be p(-9). Is v at least as big as h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 57 = 145. Let y(i) = 10*i**2 - 2*i - 1. Let z be y(-1). Calculate the highest common factor of z and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 10*b*r*t**3 - 82930*b*r*t + 2*b*r - 2*b + 10*r*t + 1430466*r wrt t?\nAnswer: 30*b*r*t**2 - 82930*b*r + 10*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.2 - -0.1482?\nAnswer: -1.0518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 29993227*a**3*r**2 + 4*a**3 + 31*a**2*r - 4970*a**2 - 2*a*r - 9*r**3 + 5*r + 1 wrt r?\nAnswer: 59986454*a**3 - 54*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + (150\/54 - (-8)\/36). Solve v*z + 3*z - z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -2*f. What is the least common multiple of 10 and l(-4)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 182 = 6*g. Let n = g + -101. Calculate the lowest common multiple of 36\/(-45) - 108\/n and 1.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -82*b**2 + 500*b + 21. Give l(7).\nAnswer: -497","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate d*r**3 + 2*d*r**2 - 2566*d*r - 11280409*d - 78*r wrt r.\nAnswer: 3*d*r**2 + 4*d*r - 2566*d - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(135)\/sqrt(144)*4)\/(sqrt(25)\/(sqrt(5)*2) + -2*sqrt(5)*-2)*1.\nAnswer: 2*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do -13807\/3262 and -4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 2*d - 1139, -758 = 2*f - 0*f + d. Let j = 2643\/7 + f. Let v be (-10)\/(-3) + 3\/(-9). Which is the smallest value? (a) v (b) j (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-1))\/(4*2\/(-16))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 39853969*v**5 - 1155790353*v**4 - 39121657*v**3 + 1155790237*v**2 - 732312*v + 116 = 0.\nAnswer: -1, 2\/6313, 1, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -575*d**3 - 281*d**4 + 577*d**3 + 467 - 33 wrt d.\nAnswer: -1124*d**3 + 6*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2650\/18 + 44\/(-198). Suppose -42*u + 5*v = -47*u + 65, -4*v - 4 = 0. Calculate the highest common divisor of u and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 22 = 2*g - 12, 3*m = 4*g - 12. What is the units digit of (-2)\/m + 285\/12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2268)\/252*14\/(-9).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3885.1 - 3885. What is the nearest to 1\/4 in -2, c, 6?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 - 2*n + 1. Let k(f) = -f**2 + 262*f - 1543. What is the least common multiple of v(3) and k(7)?\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-27 + 18 - -11)*1. Solve -5*w = -4*x - 9, 3*w + 195 = -i*x + 196 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.659 rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 - 39 - (2 - 1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1293792 and 318.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1739 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*c - 3416 = 6*c - 856 for c.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2765.\nAnswer: 5, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14 + 0 - (47 - 58)) + -5 + 9.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Does 105 divide 29464609?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of -5*c**4\/12 - 6*c + 10. Let a(n) = -15*n**2. Calculate a(m(o)).\nAnswer: -375*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 30976547 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1))**34\/(((x**(-6)*x)\/x)\/(x**6*x)))\/((x*x**(-1\/4))**41)**(-6) assuming x is positive.\nAnswer: x**(327\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*p**2 - 330*p*x + 2836*p - 227*x - 914 wrt p.\nAnswer: -4*p - 330*x + 2836","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -135640801.1 to the nearest ten thousand.\nAnswer: -135640000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2\/6 + 47827*b\/6.\nAnswer: -b*(b - 47827)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 18560 times -0.25?\nAnswer: -4640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3523724 weeks to minutes.\nAnswer: 3551.913792","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/4 - 23039994\/(-12). Suppose -b = 2*b + c. What is b rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the third derivative of 0 + 7\/60*y**5 - 1\/8*y**4 + 0*y**3 - 6*y**2 + 0*y. List the prime factors of o(2).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwtwtwjwwwttwwttj. What is prob of picking 4 w?\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - (2 - -1)) + 23.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-30)\/(-40))\/((1\/36)\/1). Let y = r - 16. Calculate the highest common divisor of y and 539.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.25 + 285644\nAnswer: 285642.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1 and 636763.\nAnswer: 636763","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17 by 906.\nAnswer: -17\/906","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.0011 - 1.0011. Let i be (2\/16)\/(6\/8). Let w = 4.5 + 0.5. What is the nearest to m in i, 1\/4, w?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24364206?\nAnswer: 2, 3, 53, 8513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -6346*i - 2 + 6346*i - 2*i**2 + 2*i**2 + 2342*i**3 in the form p*i**2 + l*i**3 + o*i + x and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 101\/33, -2.4, -3, -2\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3.49246 micrograms?\nAnswer: 3492.46","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 18, -5, -15, 0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10155 and 873330?\nAnswer: 873330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 22302201001 (base 4) to base 11\nAnswer: 1661a90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -34071285.386 rounded to the nearest 10000?\nAnswer: -34070000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -504233688*w - 955697295 with respect to w.\nAnswer: -504233688","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.9414 + -0.0586. Let z be (-54)\/(-152) + 2\/(-8). What is the third biggest value in z, 4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + -3. Let g be (-9)\/6*-3*8\/(-18). Let h = g + 3. Is h equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19.6 - -3.6. Let a = 17.5 + 1.5. Let y = q + a. Put -4, y, -3 in decreasing order.\nAnswer: y, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145 a factor of 42170156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(-2\/7))\/r**(-4))\/(r\/((r*(r*r\/(r*r**(-2\/9)*r))\/r)\/r)*r)**(4\/25)*((r\/r**(-2\/3))**(-7\/8))**(-13) assuming r is positive.\nAnswer: r**(11995\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 a when three letters picked without replacement from {a: 2, d: 1, o: 3, c: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*c**2 + 0*c**2 + c**2)*(-11 + 1 - 4) in the form f*c**2 + r + x*c and give f.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 4*t + 8 = -7*i, -5*t - 9 = 3*i. Solve -2*c - 6 = i for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 220001 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/(-7)*(-16113)\/(-786)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3 (b) -10248 (c) -4 (d) -1 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 - 538*s + 123. What is p(0)?\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a centimeter in micrometers?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = u + 88, 6*v = -4*u + 3*v - 421. Let o = u + 97. Let d be 4\/o*1*(-18)\/(-282). What is the nearest to 0 in 5\/3, 1\/6, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 331047?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f, 4*t = -5*f - 2766 + 43074. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-3*((sqrt(275)*2)**2 + 0)*2.\nAnswer: -19800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6382*o**5*z**3 + 9*o**5*z + 10*o*z**2 + 1708*z**3 - 2*z wrt o?\nAnswer: 127640*o**3*z**3 + 180*o**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -7037.5 - 5?\nAnswer: -7042.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96396?\nAnswer: 2, 3, 29, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -29 in -1\/6, 5, -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 37494 + -37488. Let s(z) = 23*z**2 + 147*z - 17. Let i(h) = 8*h**2 + 49*h - 6. Calculate c*s(j) - 17*i(j).\nAnswer: 2*j**2 + 49*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -23.98508146 - 0.01532854. Let k = 24 + b. What is k rounded to 4 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1565*o + 1578*o = 3123*o - 59 - 101 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25307 + -16142. Is d a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/5)*p*p*p**(-9)*p*p)**19\/(p**(3\/8)*p**7)**(-1) assuming p is positive.\nAnswer: p**(-3353\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23 + 0. Let i = y + -23.05. What is i rounded to one decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 9 = 4*l - l, -l = 5*a - 14. Suppose -2*d + 5 = -5. Suppose d*v - a*u - 75 = 0, -5*v + 5*u + 137 = 52. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -2. Let f = d + 0.09. Let c = 0.146 - f. What is c rounded to two dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2006 by -5.\nAnswer: 2006\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/22 and (-19 - -6)\/(336\/(-11)).\nAnswer: 3696","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-18) + (-33066)\/(-81). Suppose -4*r + 612 = 2*c - k, 0 = r - 3. Suppose -61*o + c = -59*o. Is 42 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - (-133 - -388)) + 141?\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1281, -1561, -1953, -2463, -3097, -3861, -4761, -5803?\n\"Answer: -w**3 - 50*w**2 - 123*w - 1107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of 2*h**7\/945 + 7*h**6\/270 - h**5\/45 - 55*h**4\/54 + 100*h**3\/27 + 22*h**2 + 73*h + 2. Factor b(y).\nAnswer: 4*(y - 2)*(y - 1)*(y + 5)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*s**2\/7 + 48188748*s\/7 + 32125836\/7.\nAnswer: -3*(s - 5354306)*(3*s + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-111)\/30)\/((-2)\/(-5)). Let v = 9 + g. Let y = -1 - -0.5. Which is the closest to 0.1? (a) 2 (b) v (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-15)*-3)\/(9\/135*222)\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 1240824.6 hours?\nAnswer: 51701.025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.4 and 332063092?\nAnswer: 332063091.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1714084283 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2150 (base 12) in base 15?\nAnswer: -1140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (27 - 9)*(7 + (-725)\/105). Factor 1\/7*v**2 + 36\/7 + k*v.\nAnswer: (v + 6)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100102204 (base 5) in base 10?\nAnswer: 2347179","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*v**5 - 5660*v**4 - 15581*v**3 + 2334*v**2 + 21668*v - 2680 = 0.\nAnswer: -67, -2, 10\/81, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 2, -10\/81723, 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -16 + 46\/3*b**2 + 2\/3*b**4 + 20\/3*b**3 - 20\/3*b = 0.\nAnswer: -6, -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -57 - -64. Let s(x) = -12 + 33 - q + 3*x - 12. Give s(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7265918?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1154626?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three thirds of a week in minutes?\nAnswer: 77280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02930661261 rounded to 5 dps?\nAnswer: 0.02931","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + -3 + ((3*sqrt(900) + sqrt(900) - sqrt(900)) + sqrt(36))\/(sqrt(12) - sqrt(132)\/sqrt(891)))*-3)**2.\nAnswer: -1296*sqrt(3) + 8892","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10863.46107s in weeks?\nAnswer: 0.017962071875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103*a = -22*a - 81. Sort 2, a, -5.\nAnswer: -5, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1591?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 4*o**2 + 2*o - 7. Suppose -4*u - 3 = -19, 5*j + 4*u = 26. Let f(a) = 4*a**2 + 2*a - 5. Let n(v) = j*r(v) - 3*f(v). Give n(2).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-3)\/(-14)*747\/27 and (-1)\/(-4) - (-375)\/(-84).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = 2*n - 72, 0 = 3*g + 4*n + 62960 - 62992 for g.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 + 216*i - 72*i + 28 - 15.\nAnswer: 144*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18558944?\nAnswer: 2, 579967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22 by -4463.\nAnswer: 22\/4463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 69\/126 + (-608)\/(-2128).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-9)*(-16 + 1875\/120).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2 less than or equal to -2972582?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 5, e: 3, n: 7, t: 2}. What is prob of sequence tzez?\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 7 = -4*y, 4*g + 62 = -5*y. Let j be g\/4 - (-8)\/32. Let a = j - -9. Round a to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 825368205?\nAnswer: 3, 5, 53, 1038199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 121858, -5, 11, -1, -2 in increasing order.\nAnswer: -5, -3, -2, -1, 11, 121858","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**4 + z**2 - 1. Let p(n) = 10*n**5 + 4*n**4 + 4*n**2 - 3*n - 4. Let s(v) = p(v) - 4*y(v). What is the second derivative of s(m) wrt m?\nAnswer: 200*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (35\/(-245))\/(1\/(-2)) - (-33416)\/7 a multiple of 77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27529958?\nAnswer: 2, 97, 141907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 190\/245 + (-4)\/7. Let v = t - -4\/49. Which is the second biggest value? (a) -5 (b) -20 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26485 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 6*x. Calculate a(3).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*o = -81*o - 16 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 288 - 160. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of -29*i**9\/504 + i**5\/30 - 2*i**2. Find the third derivative of g(o) wrt o.\nAnswer: -3480*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (((-54)\/81)\/(2\/18))\/(-2). Let s be ((-4)\/3)\/((-3)\/(-9)). Let n be ((-8)\/(-6))\/(s\/6). What is the third biggest value in -5, q, n?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 + 37. Let g be v(0). Let f be (-2)\/7 - g\/(-7). Suppose -l - f*s = -37, -2*l + 15 = 3*s - 38. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -423 and -3?\nAnswer: 420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/28)\/n)\/(n**(-2\/27)\/n*n) assuming n is positive.\nAnswer: n**(-727\/756)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 + 3*q + 2. Let c be y(-2). Suppose c = 3*d - 9 - 0, 0 = 3*a - d - 18. What are the prime factors of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -2\/9 (c) 4 (d) -27 (e) 2\/7 (f) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wcwc when four letters picked without replacement from {w: 14, c: 4}.\nAnswer: 91\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 116, 119, 122, 125, 128, 131?\n\"Answer: 3*t + 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7242?\nAnswer: 2, 3, 17, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*d**2 + 322*d**2 - 125*d**2 + 421*d**2 to the form n*d**2 + w + s*d and give n.\nAnswer: 601","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i**(-4\/7)*i))\/(i**(1\/8)*i)*i**(2\/5)*i\/i**(-2))**(-2))**(1\/64) assuming i is positive.\nAnswer: i**(-797\/8960)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -6*z**2 + 3*z + 3. Let d = -27 - -27. Suppose 3*i + 9 = d, 4*u - 8*u = i - 9. Let j(g) = -11*g**2 + 5*g + 5. Give u*j(b) - 5*s(b).\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 281451?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 827 - 788. Suppose -o = 2*o - 18. What is the remainder when i is divided by o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1637 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 15066094721 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1397588 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/648 and -71\/810.\nAnswer: 3240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/(-18 + 6\/2) and 5\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -35*k**3\/3 + 5207648*k**2\/3 - 193711263295*k\/3 - 11069232050\/3 = 0. What is k?\nAnswer: -2\/35, 74395","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2\/7, -7, 232\/3, -1, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 393 is divided by 140.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-2)*(-27)\/2106*(-2)\/3?\nAnswer: -2\/117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dddzddddzddddaadda. What is prob of picking 1 z and 2 d?\nAnswer: 13\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 6, i: 5, u: 2, y: 3, t: 1}. Give prob of sequence usi.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1163649 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((2 + sqrt(1100))**2 - (sqrt(176) + 3)**2).\nAnswer: 16*sqrt(11) + 914","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(70) - (sqrt(70)*-2 + sqrt(70))))\/sqrt(10) - (-1 + sqrt(7) + -1 + (1 + sqrt(847))**2).\nAnswer: -846 - 29*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 14.9 * 480\nAnswer: 7152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 3*j - 20. What is the smallest value in -0.1, 2\/3, j?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((9\/12)\/(225\/25))\/((-5)\/8)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.07 - -0.43. Suppose -29*g + 55 = -3. Let r be g\/18*(-6)\/7. Put r, -0.3, a in descending order.\nAnswer: a, r, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -59308 or 6?\nAnswer: -59308","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - -8?\nAnswer: b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (10 - (4 - (-8 - -2) - 3))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 181 at most as big as 212?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -2*v. Let u = 9668 - 9668. Let t(j) be the first derivative of -4\/3*j**3 + 0*j + u*j**2 + 24. What is c(t(r))?\nAnswer: 8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 48 = -0*p. Let i(u) = u**2 + 4*u - 29. List the prime factors of i(p).\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (10078\/20)\/(0 - 2). Let s = 252 + z. Which is smaller: -1 or s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-357)\/476 - (0 - 18\/8).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/2 + (-6)\/(-4) + -2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.7 + 0.2. Suppose 2*s - 2*o = 6*s + 26, 4*s = -5*o - 29. Let t be ((-6)\/5)\/(s\/20). Which is the biggest value? (a) j (b) -1 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 7*s**3 + 9*s**2 + 115*s + 4. Is n(25) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4165 is divided by 692.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9667992?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 48029 to the power of 1\/2, to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5\/(-30)*4*-9. Let z be 94\/(-4)*(21\/f - 4). Let v = z + -12. Which is the third smallest value? (a) 1\/4 (b) v (c) 3\/4 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*s**2 - 4*s**5 - 985*s + 985*s + 1 - 2*s**3 - s**4 + s**4 - s**5 + (-3*s**3 + 3*s**3 - s**3)*(2*s**2 + 2*s**2 - 2*s**2).\nAnswer: -7*s**5 - 2*s**3 - 4*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.029081ml?\nAnswer: 0.000029081","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 158524180?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5314495 to the power of 1\/2, to the nearest integer?\nAnswer: 2305","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 + 16*x**2 + 3*x + 46. What is w(-16)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 819 - 355. Let y be v\/11 - (-16)\/(-88). Suppose 2*p + y = -3*c + 10, -2*p + 28 = -2*c. What is the second biggest value in c, 5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -3, 0, 5 in decreasing order.\nAnswer: 5, 0, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.364 - 1.09735. Let v = -0.06195 + o. Let f = -0.8 - v. Round f to 3 dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2785*d + 2824*d - 322842. Does 82 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01777349414 to 5 dps.\nAnswer: -0.01777","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -159*q**2 - q - 6. Let y be f(-3). Let i = -899 - y. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -39*m**3 - 1297*m**2 + 5*m - 4191973?\nAnswer: -117*m**2 - 2594*m + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 13287 - -36?\nAnswer: 13334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 408 = x, -4*l + 320 = 4*x - 8*x. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 24\/(-168) + (-534)\/(-14). Suppose -5*u = -5*o - 205, -3*u + 0*o + 122 = -2*o. Let y = u - q. Solve 2 = 2*l + y*l + 3*v, -4*v = -8 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of p**6\/360 + 4*p**4\/3 - 13*p**3\/6 + 11*p**2. Let h(t) be the first derivative of i(t). Does 5 divide h(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 20 = 4*q, 4*q + 2*b = -2*b - 12. Let y be (-6 + (-12)\/6)\/(-3 + q). List the prime factors of (1 - (y + -221)) + -2.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236966 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r**5\/2 - 3*r**4\/2 - 99*r**3\/2 + 183*r**2\/2 + 48*r - 90 = 0 for r.\nAnswer: -6, -1, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 2, -0.2, -3, -0.81?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1917 times -0.59?\nAnswer: -1131.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 729493 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -2 + 8*i + 6 - 20*i + 13*i. Let u = 4 + -3. Let o be 8\/u - (8 - 4). Determine r(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5455.2521 - -1.2521. Let r = -5406.184 - d. Let i = 48 - r. Round i to two decimal places.\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1469011 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -11\/4, 0.4, 1\/2, 0.6 in increasing order.\nAnswer: -11\/4, 0.4, 1\/2, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -10*p + 90. Suppose -90*w = 63 - 963. Calculate m(w).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 PM and 6:00 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-35.\nAnswer: -175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1610540 to the power of 1\/5, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(1 + 4*(6*(sqrt(2299)*2 + sqrt(2299) - sqrt(2299)) + 5*-1*sqrt(2299))) + -2)*-1)**2.\nAnswer: 21560*sqrt(19) + 45060449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -21*y**2 - 3140643. Let i(v) = 3*v**2. What is w(i(r))?\nAnswer: -189*r**4 - 3140643","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/2*2\/(-4))\/2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -4*t**2 - 9*t + 3. Let b(g) = -17*g**2 - 37*g + 11. Let w(p) = 2*b(p) - 9*l(p). Determine w(-6).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26 (base 13) to base 6\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(500) - (sqrt(500) - -2*(sqrt(500) + sqrt(500)*1))) + sqrt(500) + 1 + -5 + -4)**2.\nAnswer: 480*sqrt(5) + 4564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2. Let b(v) = -16*v**2 + 23. Let j(l) = b(l) - 3*m(l). Find the first derivative of j(h) wrt h.\nAnswer: -26*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 less than 0.292788?\nAnswer: -1.707212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -606, -2980, -6926, -12444, -19534?\n\"Answer: -786*y**2 - 16*y + 196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20246 to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -461, -232, -3, 226?\nAnswer: 455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 337, -27.\nAnswer: -27, 15, 337","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*j - 2*j. Let p be (2 + -4 - 1)\/j. Let r(x) = p*x**2 - 2 + 2. Let n(k) = 2*k**2. What is n(r(t))?\nAnswer: 18*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3243, 3185, 3127, 3069, 3011, 2953?\nAnswer: 2895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*a - 417 - 687. Suppose -5*f - a = -7*f. Is (-3 + f - -3) + 3 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -86 + 150. What is the highest common divisor of w and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-128 - 15*i + 128)*(2*i - 4 + 4)*(-7 + 7 + 14*i**3).\nAnswer: -420*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f. Let u(n) be the third derivative of 11*n**4\/24 - 11*n**2. Determine z(u(t)).\nAnswer: 11*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 429170 and 11.\nAnswer: 4720870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 60 = -3*y + 33, 0 = -5*z - 40. Which is bigger: y or 9\/8?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n. Let v = 20 + -18. Let b(s) = -2 + v - 3*s. What is b(l(w))?\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 4*r = k - 57, -5*k + 267 = -r. Let v = k + -22. Let d = v + -21. What is the highest common divisor of d and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 + 2*f**2 + 2*f - 2. Let r be w(2). Let h = -8 + 8. What is the closest to h in -2\/19, 5, r?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -286, -572, -858?\n\"Answer: -286*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5643 - -5645. Factor -2\/3 - 16\/3*w**v + 6*w.\nAnswer: -2*(w - 1)*(8*w - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12 - 5*v - 12)*(39 - 39 - 5*v**2 + (-2 - 3*v + 2)*(-1 - 1 + 1)*(10*v - 7*v + 4*v)) to l*v + k*v**2 + m + p*v**3 and give p.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1305)\/(-1566)*(144\/75)\/3.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7134*j - 7132*j = 18 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:00 PM and 9:28 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -223361 to the nearest 10000.\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of -w**9\/52920 + w**7\/4410 - w**5\/420 + w**4\/8 + w**2. Let b(c) be the second derivative of x(c). Let b(h) = 0. What is h?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5*(-4)\/(-400))\/((-34)\/(4352\/80))?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -8*i + 2. Let w(m) = -3*m - 3. Let a be w(-4). Let n = -45 + 41. Let j be n + a + 3\/(-1). Determine l(j).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -5. Suppose 5 = -m, -3*v + 6 + 4 = -2*m. Which is the nearest to v? (a) -0.3 (b) 1\/9 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1001011110111010 (base 2) to base 9\nAnswer: -58247","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (36\/216)\/(((-147)\/(-2646))\/((-70)\/(-3)))?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1973 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 29037*m*o**3*v + 15*m*o**2*v - 12*m*o*v + m*o - 2*o**3*v - 20*o**2 wrt o?\nAnswer: 174222*m*v - 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -257, -331, -405, -479, -553?\n\"Answer: -74*t - 183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 PM and 5:37 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 33*b**3 + 52*b**2 - 100*b**3 + 137*b**3)*(4 - 4 + b) in the form k + c*b**4 + f*b + a*b**3 + q*b**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1057633766?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*m - 62*m + 27*m + 119 = -96 for m.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -2*w - 2. Calculate the greatest common divisor of 21 and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.07 times 1414920\nAnswer: -99044.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -3*(sqrt(68) + sqrt(68) + 3)*1 + (-2*sqrt(68) + -5 - (-5 + sqrt(68) + 1)))**2.\nAnswer: 360*sqrt(17) + 5608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**0)**36*(v*v**1)**49)\/((v**(-3)*v)\/(v**(-7)*v)*v**(-3)\/(v*v*v*v**(-2\/7)*v)) assuming v is positive.\nAnswer: v**(957\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 PM and 7:04 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*p + 171739 = 86*p - 12689. What is the remainder when p is divided by 28?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2873 - 2695 - (46 + 2 + -1)?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-14)*t*t\/t**(-1) assuming t is positive.\nAnswer: t**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkeekrrk. Give prob of sequence ee.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 9327.71ng in tonnes?\nAnswer: 0.00000000000932771","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1857577 times 0.4?\nAnswer: 743030.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(76)*2*-5)\/((sqrt(48)*-1)\/sqrt(12) + sqrt(196)*-1).\nAnswer: 15*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 10:39 PM?\nAnswer: 8:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j = 5*j - 4*p + 111, -104 = -j + 3*p. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2428527683 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/(-3) + (-295)\/42 and 29\/22?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/6)\/((-158)\/1422)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1555*d - 1552*d + 13*s = 7*s - 21, -d + 3*s + 13 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 78.09671 centuries in decades?\nAnswer: 780.9671","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -213 + 341. Let s(x) = 3*x**3 - 123*x**2 - 9*x + 417. Let n be s(41). Calculate the greatest common divisor of u and n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 114*k - 47*k - 403340. What is the hundreds digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-48)\/(-30))\/(2\/180). Suppose 5*i = a + 6. Calculate the remainder when i is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 y when four letters picked without replacement from yyyyy?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-3))\/(156\/(-117))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 17*s**3 + 33*s. Let b(m) = 50*m**3 + 98*m. Give 4*b(u) - 11*z(u).\nAnswer: 13*u**3 + 29*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v**2 - 4*v + 3. What is the units digit of b(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000111 rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -511, -493, -477, -463, -451?\n\"Answer: -u**2 + 21*u - 531","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h + 32. Suppose 4*d + m = d - 34, d - 5*m + 38 = 0. Let g be s(d). Solve -3*c + 0*c = -g for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/((-9)\/4 - -3) + 98 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 7 = 15. Let o(u) = 2*u**3 + 23*u**2 - 20*u. Let t(p) = p**3 + 8*p**2 - 7*p. Let m(v) = f*t(v) - 4*o(v). What is m(2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 73 - 65. Let p be (-14)\/l - (-3)\/(-12). Find the common denominator of 65\/22 and p\/5 - (-2934)\/(-240).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times -5986446\nAnswer: 598644.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 5*j - 19 = 2*j, -3*j + 9 = 0. Differentiate 35 - 4*p**2 + 7*p**2 - 22*p**k with respect to p.\nAnswer: -38*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -98, -75, 6, 3 in increasing order.\nAnswer: -98, -75, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 5*g - 2. Let d(r) = -14*r + 6. Let c be ((-4)\/(-28))\/((-674)\/(-14154)). Let y = 22 - 14. Give c*d(v) + y*m(v).\nAnswer: -2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 11011111000010 (base 2) in base 8?\nAnswer: 33702","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -281 - -405. Suppose -a*l + 119*l + 10 = 0. Calculate the lowest common multiple of 109 and l.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -39.5 - -51. What is x rounded to 0 decimal places?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 194*m**2 - 2148*m + 75. Determine f(11).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5579 + -5431. What is the remainder when 729 is divided by o?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 551314140*u**4 - 58550451*u.\nAnswer: 6615769680*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of -5*i**4\/6 - i**3\/6 - 21*i**2\/2 - 6*i. Let u(s) = -2*s**2 - 4. What is 2*j(b) - 11*u(b)?\nAnswer: 2*b**2 - 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 14699 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cs when two letters picked without replacement from scssc.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -73.7084 to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - -23)*-2*(-478)\/8. Suppose -3*g + 2912 = -s. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 8*j - 51. Calculate g(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 41464, 331486, 1118646, 2651512, 5178652, 8948634, 14210026?\n\"Answer: 41428*c**3 + c**2 + 23*c + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.0766 to 1 decimal place.\nAnswer: -10.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l = 7*l. Suppose l + 0 = -3*m. Solve -2*s + 5*s + 9 = m for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = -3*v - v - 18, -2*v - 8 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -76713129 divided by 14841?\nAnswer: -5169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -602 + 878. Suppose 3*o = -4*z + 264, 0 = o + 2*z + 13 - 115. Calculate the highest common divisor of o and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 - -3 - (-1 + 2). Suppose -18 = -5*f - 8. Solve -5*t = -c*n + 11, -n = -t + 1 - f for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1\/4 (b) 2\/7 (c) -3.73 (d) 3\/47 (e) 2.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, i: 3}. What is prob of picking 2 i and 1 j?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*m**2 + 0*m**2 + 7*m**2 + (-3*m**2 + 0*m**2 + m**2)*(-3 - 6 + 3) - m**2 - 2*m**2 + 4*m**2 as p*m**2 + n + f*m and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.97473 to 2 dps.\nAnswer: 1.97","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 5*j + 1, -2*n + 5*j + 31 = 0. Suppose -n - 476 = -3*f. Does 12 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -1\/4 (b) 3\/7 (c) 0.1 (d) -30 (e) 11.8 (f) -1 (g) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 9*o**2 - 10 - 3*o**2 + o - 5*o**2 - o. Let j(q) = 3*q - 3. Let l be j(3). What is the units digit of u(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.815 + -130328842.\nAnswer: -130328841.185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -0.5 (b) 0.9 (c) 1\/5 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -9543.3792 times 4\nAnswer: -38173.5168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + (-14)\/(-8))*36\/(-90).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 3*n + 26, 4*h - 8 - 4 = -2*n. Let l = 13 - 27. Which is the second biggest value? (a) 5 (b) h (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 14076462 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*v + 10*a - 54, -2*v - 5*a + 31 + 14 = 3*v for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**3 - 2496*s**2 - 9920*s.\nAnswer: -4*s*(s + 4)*(s + 620)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 40, 1199, 3122, 5803, 9236, 13415?\n\"Answer: -p**3 + 388*p**2 + 2*p - 349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the second derivative of 7*s**4\/12 - 2*s**2 + 7*s. What is the first derivative of x(g) wrt g?\nAnswer: 14*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 1. Let q(v) = v**2 + 3*v + 2. Let g(c) = 3*h(c) - q(c). Let z be (-6)\/(-21)*(18 + -4). Suppose -p + 12 = -a - z*a, 3*p + 3 = 2*a. Give g(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 28561525, 57123047, 85684565, 114246079, 142807589, 171369095?\n\"Answer: -2*m**2 + 28561528*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-16)*360\/(-405)\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tmttsmfszzst. What is prob of sequence sz?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 27358.\nAnswer: 54716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 18 - 19 - (-3 + 0). Solve 0 = 5*s + w*f - 14, 2*s - 2*f = -s + 2 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -11*c + 1. Let f be z(1). Let g be (-8)\/f*460\/8. Find the second derivative of -2*v**2 + 46 - g + 3*v wrt v.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) + sqrt(171)*-2)*1 - (sqrt(171) + 3*-1*sqrt(171)))\/(1*sqrt(9)*-3 + (sqrt(9) - sqrt(99)\/(sqrt(44)\/sqrt(4) + sqrt(11)))).\nAnswer: -2*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -2*m + 6. Suppose r = -5*i + 19, i + 20 - 7 = -3*r. Calculate l(r).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 5*n + 25, 0 = h - 4*h + 2*n - 12. Let k(w) = 2*w**3 + 26*w**2 + 23*w + 2. What is the remainder when (-1)\/h*(60 + 8) is divided by k(-12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6022 is divided by 1892?\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -48.031 take away -1.712013293?\nAnswer: -46.318986707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 1 + 7 = 5*v, 0 = 5*v - 10. Let x be (6\/(-13))\/((-6)\/(-8)). Which is greater: x or y?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -34.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + 7. Let l be 16\/(-56) + c\/7. Suppose -3*m + 12 = -l*m. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + -1. Let w(y) = -y - 1. Let x(f) = 0 + 10*f + 7 - f. Let q(z) = 4*z + 3. Let h(k) = 5*q(k) - 3*x(k). Calculate v*h(i) + 6*w(i).\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-24)\/16*8\/(-1))\/2. Let x(k) be the second derivative of k**3\/6 - k**2\/2 - k. Determine x(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-16)\/40 + (-14)\/(-10). What are the prime factors of 2 + (-1 - b) + 14?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-20) + 26\/24 + 3822\/(-2691)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 39645?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - -101200012?\nAnswer: 101200020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*m**4 + 57*m + 2*m**2 - 57*m)*(4 - 4 + 2*m).\nAnswer: 16*m**5 + 4*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 1. Suppose -1289*a + 8 = -1293*a. What is the nearest to a in q, -1, 5\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 429104595 a multiple of 1551?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w = -3*w + 1422. What is the third derivative of -w*p**6 + 10*p**2 - 41*p**6 - 71*p**6 + 13*p**2 + 52*p**6 wrt p?\nAnswer: -26160*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -99\/2 - -51. Let i = -10.6 - -11. What is the second smallest value in i, a, -5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**17*x*x\/x**(2\/21)*x**(-1)\/x*x*(x\/x**(-12)*x)\/x assuming x is positive.\nAnswer: x**(649\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -4*b**5\/3 - 672*b**4 + 720*b**3 + 70472*b**2\/3 - 38500*b - 60600 = 0.\nAnswer: -505, -6, -1, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 851.999788 - 852. What is g rounded to four dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1\/11 - -25\/33. Let r = -2 + 1.6. Let v = r - -0.4. Which is the closest to 1? (a) u (b) -0.4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 - 8*v**2 + 536*v - 43. Determine y(-28).\nAnswer: 629","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3613, -7271, -10945, -14647, -18389, -22183, -26041?\nAnswer: -29975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 20*l**2 - 2*l. Let t be g(-1). Calculate the highest common factor of 176 and t.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -7. Is 380 + w\/2 - 2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(539) + 2 + 1 + 2 + (1 + sqrt(539) + 5)**2*-6)*-6.\nAnswer: 2982*sqrt(11) + 20670","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 4*j - 138. Calculate the remainder when j is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 3 + 2)*(b**2 - 4*b**2 + b**2) + 143 - 143 - 17*b**2)*(-b - 4*b + 0*b).\nAnswer: 105*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/11? (a) -12\/607 (b) -2\/19 (c) 3 (d) -0.632\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26\/45 + -163\/90. Let x = -2\/5 - y. Let s = -3.027 - -8.027. Which is the nearest to -2\/3? (a) 0 (b) x (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 4*w**2 - 23*w + 31. Let r be i(-5). Is 245 greater than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 - -1)\/(((-42)\/(-119))\/(-6)). Solve -g = -2*x - 27 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -194 - 86 = -5*x. Let i(o) = -o**3 - 7*o**2 + 4*o + 7. Let n be i(-7). Let d be (-3)\/(-9)*-2*n. What is the highest common factor of x and d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of g**6\/360 - g**4\/6 - 2*g**3\/3 + 2*g**2. Let q(i) be the first derivative of a(i). Give q(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43, 60, 91, 142, 219, 328, 475, 666?\nAnswer: 907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*k**3 - k**2 + 4*k**4 + 2*k**3 + 6104 - 6102 + 2*k to the form m*k**4 + u + q*k**3 + c*k + o*k**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2338?\nAnswer: 2, 7, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 AM and 9:27 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.2451*-0.1\nAnswer: -0.02451","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 4*h**3 + 5*h**2 + 5*h - 2. Let o(p) be the second derivative of p**5\/4 + p**4\/2 + p**3 - p**2 - 50*p. What is 5*o(b) - 6*s(b)?\nAnswer: b**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45 is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1011956 and 198?\nAnswer: 9107604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3, -1, -14, 36, 0.19?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 64969770911 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 588 = 5*p - 5*z + 93, 0 = -5*p + 4*z + 497. Solve -15 - p = 58*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30273 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 times 347?\nAnswer: -2429","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 12486 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 3*z - 36 = -3*b, 4*b + 128 = 4*z. Let y(u) = -5*u + 3. Let r be y(-7). Let s = b + r. Solve s*x = -3 - 12 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -34 - -33.9. Which is the closest to k? (a) -7 (b) -3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 46, -60, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + 24dea?\nAnswer: 24ded","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/40250 and 19\/62370?\nAnswer: 35862750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2139006 to the power of 1\/2, to the nearest integer?\nAnswer: 1463","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s - 132. Let t(d) = -3*d - 257. Determine 3*t(a) - 7*u(a).\nAnswer: -2*a + 153","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 7 = -h, -2*h - 4*k - k = -4. Let b(r) = -1. Let z(n) = 4*n + 5. What is h*b(c) - z(c)?\nAnswer: -4*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 14*p - 37. Let v(o) = -12*o + 69. What is v(b(h))?\nAnswer: -168*h + 513","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 2*s = 4, -7 - 5 = -4*s for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8823*u = -8852*u + 319 for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (127 + -47 - 66)*(-2)\/(-1)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 272746?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 129586551239 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 31457660 a multiple of 164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 307 - 108. What are the prime factors of g?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 188061738?\nAnswer: 2, 3, 2447, 12809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 PM and 3:16 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168 = 16*f - 2*f. What is the least common multiple of f and 22?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*c + 16030 + 2331. List the prime factors of c.\nAnswer: 43, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 15*j - 509. Let w be r(32). Which is the smallest value? (a) -4 (b) -0.01 (c) w (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10\/(-8)*(-8959 - 13) + -2. Suppose 3*b = 16180 + a. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.8 + 424.8. Let k = n + -426. Let u = 5.4 - 5. Which is the biggest value? (a) 0.2 (b) u (c) -4 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/43262596 and 7\/20799325.\nAnswer: 1081564900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23)\/5980*13*2\/4?\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2960 divide 1323830901?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4500401 is divided by 3785?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xe when two letters picked without replacement from {e: 4, x: 1, m: 2}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*b = 89*b + 20. Calculate the lowest common multiple of b and 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -3*g + 1. Let k be p(2). Let i be k*-2*3\/10. Solve i*h = -2*h + 25 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = 4*i - 16, -2*c + 86*i - 87*i = -11*c - 4 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -3*q - 3. Let d be f(-2). Suppose -8 = 2*o, d*g = o - 1 + 5. Let r(h) = -h + 5. Give r(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/((d\/(d**3*d))\/d))\/d**4)\/(d*d*d\/(d*d**(-1))*d*d\/d**(-1\/3)*d*d)*(d**(-5)\/d)\/d*d**(-2)*d*d*d**(1\/69) assuming d is positive.\nAnswer: d**(-919\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Solve -10*s + 5*s = 5 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 + 8*p - 10. Let d be w(6). Let q(b) = -13 - 57*b**2 - b**3 + 2*b + 49*b**d - 16*b. Is 15 a factor of q(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2824400817?\nAnswer: 3, 7, 487, 13151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -85 divided by -3?\nAnswer: 85\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 23924832 and 96.\nAnswer: 23924832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1028538435 divided by -15\nAnswer: -68569229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of -n**6\/480 + 61*n**5\/80 - 121*n**4\/32 + 181*n**3\/24 - 2002*n**2. Factor z(s).\nAnswer: -(s - 181)*(s - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -330 divided by -1?\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18.5 - 3.5. Let y = 2923.03 + -2908. Let n = y - v. Which is the second biggest value? (a) n (b) -3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 981212008 divided by 413.\nAnswer: 2375816","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -275 - -399. Let h = -184 + v. Let l = h - -65. Solve l*r + 11 - 1 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 + x + 1. Let a(s) be the first derivative of -s**4\/2 + s**2\/2 + s + 18. What is 3*a(c) - 3*t(c)?\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -64\/111 and -19\/30?\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -5. Suppose 2*g - 2 = 2*l, 10 - 3 = -2*l + 3*g. Let i(s) = s + 4. Let o(b) = l*n(b) + 5*i(b). Let m(u) = u**2. Determine o(m(v)).\nAnswer: 5*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 (base 3) in base 13?\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - 141140241?\nAnswer: -141140240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1737185 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.97 and -1651830?\nAnswer: 1651829.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 831086083.\nAnswer: 79, 10520077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 33236 by -8309.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/4 of a decade in months?\nAnswer: 1770","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98694 is divided by 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2*1\/2 + (-88)\/22\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 1 + (3 + 1 + 1)*(3 - 5 + 1))*(-5 + 2 - 3)*(5*r**3 - 4*r**3 - 5*r**3).\nAnswer: -96*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 78465 to the power of 1\/2, to the nearest integer?\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/3))**(-3)\/(u\/((u*u**(-14\/9))\/u))**(-39) assuming u is positive.\nAnswer: u**(296\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = -8*j + 33 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-42068)\/1170 + 12 - -24.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of 31\/6*g**3 + 0*g**5 + 0*g**6 + 0 - 29*g + 0*g**2 + 0*g**4 - 6\/7*g**7. What is the second derivative of x(s) wrt s?\nAnswer: -720*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -472651 divided by 106?\nAnswer: -472651\/106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 216421 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -133667 (base 8) in base 14?\nAnswer: -131d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 2*z + 8 = 2*s, -5*z = s + 7 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99*t = 103*t - 8, -3*t + 21 = 3*z. Let a(s) be the third derivative of -1\/60*s**z + 0*s - 3\/2*s**3 + 12*s**2 - 1\/3*s**4 + 0. What is a(-7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11*g**3*i - 2*g**3 + 18668*g**2 - 3*g*i + 964*i wrt i.\nAnswer: -11*g**3 - 3*g + 964","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/(sqrt(72)\/(sqrt(96) + sqrt(6)) - sqrt(12)).\nAnswer: -5*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 + 0)\/(3 + -2 + -4). Solve 2 + j = h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, 19, 3, -7 in descending order.\nAnswer: 19, 5, 3, 2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -15.41 and 107792.\nAnswer: -1661074.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 35832667 to the nearest integer?\nAnswer: 5986","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((61105\/(-303))\/(-55))\/((-22)\/(-72))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 10, 4, -54438, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of 0 + 29\/48*q**4 + 116*q**2 + 0*q + 1\/120*q**5 - 5\/2*q**3. Factor v(l).\nAnswer: (l - 1)*(l + 30)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11081 less than or equal to -11079?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*x**3 - 2*x**3 + 206112*x**2 - 206023*x**2 - x**3 - 3*x**3.\nAnswer: -x**3 + 89*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 367820467?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z + 9. Let h be k(5). Let o = h + -5. List the prime factors of 1*o\/(-1)*21.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*a + 15*a - 4*v + 11030, -2*v + 16 = 0. Is 26 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 AM and 10:42 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 79065?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 68062283 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 2 + 5)*(2*f - 3*f + 0*f) + f - 2 + 2 + (-134*f + 119*f + 401*f)*(12 - 8 + 11) in the form y + j*f and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 408*m + 470. What is w(-2)?\nAnswer: -346","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 12:12 PM?\nAnswer: 9:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000338187213 to 7 decimal places.\nAnswer: -0.0003382","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.5 - 2.5. Suppose 2*j = -7 + 3. Let d be ((-4)\/2)\/((-7)\/j). Sort d, -2\/7, r in increasing order.\nAnswer: r, d, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -55*k - 119*k + 7724382. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/9, -900, -14022?\nAnswer: -14022","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 361655?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -188 + 183 - (-2 - -11)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 205 a factor of 18666?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 10:43 AM?\nAnswer: 9:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*r + 2*k + 1 - 7, 0 = -2*r + 4*k - 16 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -6*i**2 + 7*i - 7. Let m(x) = 7*x**2 - 2*x + 7. Let t(q) = 3*q**2 - q + 3. Let v(k) = 2*m(k) - 5*t(k). Calculate -d(f) + 5*v(f).\nAnswer: f**2 - 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b307676 + 4?\nAnswer: b30767a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21086 - -125513\/6. Let l = 170 + j. What is the common denominator of 34\/27 and l?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1053, -903, -749, -591?\nAnswer: -429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4166?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(288) + 0 + -5)*-6)**2 - (2 + (-1 + sqrt(288))**2 + (4*sqrt(288))**2*-4).\nAnswer: -7752*sqrt(2) + 31425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -111 (base 3) in base 6?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*y**6 + 2*y**6 + 11*y**2 + 0*y**6 + y**6 wrt y?\nAnswer: 600*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-2\/7))\/t**2)**(-39)*(((t*t\/(t*t\/(t\/t**1)))\/t)**(4\/27))**(-16\/11) assuming t is positive.\nAnswer: t**(104695\/2079)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -14*n**2 + n - 2. Let a(r) = -29*r**2 + 3*r - 5. Let s(x) = x**3 + 22*x**2 + 16*x - 100. Let p be s(-21). What is p*m(k) - 2*a(k)?\nAnswer: -12*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 + 36. Let i = -20.8 + v. Let l = i - 0.19999975. What is l rounded to seven decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 not equal to -2738\/4731?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/2310 and 47\/6?\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r - 127 + 37 = 0. Suppose 6*p - 3*v + 17 = 2*p, p = v - 4. Let f be (r\/(-8))\/(p\/(-20)). Solve -z - z - 1 = c, f*c = z + 6 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + -62. Let z = -255\/4 - m. Let g = 91\/62 + 1\/31. What is the nearest to 1\/2 in g, 1, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 10:06 AM?\nAnswer: 8:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*r**3*s + 9*r**3*u**2 + 6*s*u**2 - 48*s*u - s wrt u.\nAnswer: 18*r**3 + 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 - 7. Let y = 2 - s. Let r be 4\/8*(y - 1). Which is bigger: -4\/5 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23 + 190. List the prime factors of z.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -31313 by 1021.\nAnswer: -31313\/1021","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.08, -0.03, -6, 82?\nAnswer: 82","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 14) to base 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - -1)\/((-1)\/(-8)). Suppose 3*w + 18 - 6 = 0. Let r be 0 - (-1 + (w - 1)). Solve -h - 2 = 5*o - t, -2*h - 4*o = -r for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1340, -1368, -1386, -1388, -1368?\n\"Answer: f**3 - f**2 - 32*f - 1308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 469557 and 708696.\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/(-108))\/(3*(-2)\/(-18))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15 - -27. Suppose -5*a - 3*f - 17 = 8, -a = 2*f + y. Let x = a + 8. Calculate the remainder when x is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 329396060?\nAnswer: 2, 5, 7, 53, 103, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9\/7*(-14)\/(-3)*-1. Is (780787\/l)\/(-7) - (-120)\/144 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jgc when three letters picked without replacement from jgcgjgjjj?\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 6*t - 2. Let z(v) = 6*v - 2. Let r(j) = 6*m(j) - 5*z(j). Let q(p) = -7*p + 2. Let o(c) = 2*q(c) + 3*r(c). Find the first derivative of o(d) wrt d.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 divided by 2637\nAnswer: -13\/2637","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 + 6*s**2 + 6*s - 5. Let g = -19 + 32. Let y = -7 + g. Let z(l) = -3*l**3 + 17*l**2 + 17*l - 14. Determine y*z(n) - 17*p(n).\nAnswer: -n**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 74, 73, 12, -127, -362, -711, -1192, -1823?\nAnswer: -2622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 AM and 10:39 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3261?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -5*j**5 - 1475*j**4 - 5840*j**3 - 5820*j**2 = 0.\nAnswer: -291, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxkkxxxxxxxkxxx. Give prob of sequence kxkx.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (-10 - (-11 - 0))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 217 = 39. Let u be (-19 - 1)\/(2\/t). What is u rounded to the nearest ten?\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -10*s**3 - 4*s**2 - 1. Let g(j) = 4*j + 997*j**3 - 496*j**3 + 3*j**2 + 1 - 490*j**3 - 4*j. Calculate -3*g(w) - 2*t(w).\nAnswer: -13*w**3 - w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -34453327*i**2 + 127466226*i?\nAnswer: -68906654","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 793\/31, -0.05, 7 in decreasing order.\nAnswer: 793\/31, 7, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -287 = -50*t + 49*t. Calculate the remainder when t is divided by 249.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 745705 and 1250860.\nAnswer: 38776660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3945*m**2 + 3 - 3947*m**2 - 3.\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -4*(5 + 1\/(24\/(-150)))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (2 + -1 - (9 + -8))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -2*g - g**2 - 961 - 7*g - 8*g + 956 + 0*g**2. Give b(-17).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from juujxh.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -4*r**3 + 1772*r**2 + 16272*r = 0?\nAnswer: -9, 0, 452","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 12439521937 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*a**4 - 1071*a**3 - 654*a**2 + 432*a = 0. Calculate a.\nAnswer: -1, 0, 2\/5, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 3*b - b - 25 = 0, 5*b = -25. Let g(x) = 1. Let v be (-1)\/((-1)\/(-1))*-6. Let j(z) = -4*z + z - v + 2*z. What is u*g(n) + j(n)?\nAnswer: -n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 241 is divided by (66 - 2) + (8 - -4)\/(-4).\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8172460*r**3*x**3 + 130896*r**3*x**2 - 2*r**3*x + 3*r**2*x**2 + r*x**5 - 6*x**2 wrt x?\nAnswer: -49034760*r**3 + 60*r*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, -4, -1, 106, -9 in ascending order.\nAnswer: -9, -5, -4, -1, 5, 106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -10*a + 10. Suppose a*j - 10 = 11. What is the third derivative of 2 - 311*f**j - 2 - 27*f**2 + 289*f**3 wrt f?\nAnswer: -132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 + 29*b**2 + 52*b - 50. Calculate i(-27).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/90 and -31\/64707462?\nAnswer: 323537310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -3*k**5 - 3049704*k**4 - 30496839*k**3 - 100639374*k**2 - 134185716*k - 60993480 = 0.\nAnswer: -1016558, -5, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 14 + 10*d + 3*d**3 + 5 - 1 + 1 - 2*d**3 - 13*d**2. Does 42 divide x(13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*((-57)\/(-76))\/(27\/144).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 832580 or 833120?\nAnswer: 833120","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -439769, -439683, -439597, -439511, -439425?\nAnswer: -439339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 PM and 4:43 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29279?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19296 is divided by 135?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 326634\/(-24745)*(5\/(-3))\/1?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4610595 is divided by 5609.\nAnswer: 5606","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -j - 13*j**2 + 3*j - 2*j in the form s*j**2 + t + q*j and give s.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 16) in base 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*p - 13*p - 5*d - 1970 = 0, 3*p - 1192 = -2*d. What is the greatest common divisor of 108 and p?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 - 25*r**2 - 13*r + 258. Calculate o(-24).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19972779.\nAnswer: 3, 6657593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -11*b**5 + 5*b**4 - 2*b**3 + 8*b**2 + 13*b - 7. Let o(f) = 2*f**5 - f**4 - f**2 - 2*f + 1. Let s(r) = -n(r) - 6*o(r). Factor s(q).\nAnswer: -(q - 1)**3*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*v - 2*l, -2*v - l + 0*l + 6 = 0. Suppose -101 = -5*k - s, -5*k = -v*k + s - 41. Let a = k + -11. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9313 = -440*p - 1247 for p.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 697 and 73117?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -283*v + 154*v = -132*v - 3*z - 42, -36 = 3*v + z for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-10))\/(423\/94)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6*(-2)\/(-8))\/(13\/((-12844)\/38)).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 3*c**2 - 3*c**2 - 2*c**2. Suppose -5*l + 14 = -16. Let t(i) = -2*i + 2*i - l*i + 4*i. What is a(t(g))?\nAnswer: -8*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -108 + 61. Suppose 4*q - 3*q + 21 = 0. Let c = q - p. What is the greatest common divisor of c and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of -h**4\/90 + 14*h**3\/45 - 13*h**2\/15 + 147*h. Factor n(x).\nAnswer: -2*(x - 13)*(x - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in 5\/3, -2\/15, -0.4, -42, 22\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36224186.\nAnswer: 2, 79, 229267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/17819 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3197678, -3197679, -3197680, -3197681, -3197682?\nAnswer: -3197683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k + 0*k + 30 = 0. Solve k*j - 12 = -j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-12)\/9*(-3)\/2. Find the second derivative of -26*u**2 + m*u + 15*u - 18*u + 1 wrt u.\nAnswer: -52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 + 25*q**2 - 85*q - 57. Calculate v(-28).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - m = -69, -4*a + 39 = 3*m - 24. What is the tens digit of 12\/a - (-1470)\/9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50053*-86.\nAnswer: -4304558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 AM and 7:10 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1305, 16379, 5 in increasing order.\nAnswer: -1305, -2, 5, 16379","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -11*z - 8 - 1 + 434*z**3 + 3 - 436*z**3. Let p(x) = 4*x + 0*x**3 + 6*x**3 - 5*x**3 + 2. Let v be (-1 - -1) + (-2 - 1). Give v*c(q) - 8*p(q).\nAnswer: -2*q**3 + q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3\/8, -6\/7, -0.3, -71, -3\/7 in ascending order.\nAnswer: -71, -2, -6\/7, -3\/7, -0.3, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*t - 0*t + 2100. Let n = t + 182. Calculate the remainder when 285 is divided by n.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) 1 (c) 3 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-231)\/35)\/(-33))\/(2\/3)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 56622983 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 4*r + 2. What is the remainder when (-2)\/2*(-180)\/20 is divided by r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 PM and 3:17 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*q**3 + 6 + 66*q**2 - 3*q**3 - 73*q**2 to the form y*q**2 + g*q + u + t*q**3 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, c: 2, x: 1, u: 1}. What is prob of picking 1 d and 1 u?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73*p**2 + 577*p**2 + 381*p**2.\nAnswer: 885*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/((-20)\/(-608)) - (-5 - -3). Let s = -76 + x. Is 5 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 52 in 6, 1181115, 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q + 2. Let w be n(3). Let r be (12\/w)\/(2\/(-4)). Let o(j) = -j - 1. Calculate the remainder when o(r) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1228 is divided by 88?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-30)\/48 - 1\/(-8). What is the nearest to 1\/5 in n, 1\/2, 1\/8, 5?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16173 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 737 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -11035 (base 10) to base 11\nAnswer: -8322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) -7811 (b) -41 (c) 0.2 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 b when two letters picked without replacement from {g: 2, b: 1, r: 7}.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1949855 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -326.00000138 - -326. Round i to seven decimal places.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y**3 + 2*y**3 - 4*y**3 + (0*y + 3*y - 2*y)*(y - y - 2*y**2) - 2*y**3 + 2*y**3 - y**3 + (y**2 - y**2 + 2*y**2)*(-4*y + 0*y + 2*y).\nAnswer: -9*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -23450*u**4 - 2*u**3 + 3258*u**2 + 2 wrt u?\nAnswer: -562800*u - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of -z**3 + 44. Let t(m) be the second derivative of m**3\/3 - m. Calculate t(h(k)).\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 296918 or 296919?\nAnswer: 296918","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/1882593 and -35\/18?\nAnswer: 3765186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 36*u + 178. Let x(c) = 67*c + 357. Let d(q) = -5*w(q) + 2*x(q). What is the hundreds digit of d(-31)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2*d**3 + 5*d**2 - 2*d + 5. Let g be u(-4). Let i be ((-14)\/g)\/((-1)\/(-30)). What is the highest common divisor of 30 and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 412744950 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8519880541 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of -6 + 36 - 7 - -1 and 108.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54958?\nAnswer: 2, 27479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 117450 a multiple of 81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (46*r + 30*r + 8*r)*((3 - 3 - 2*r)*(-2*r + 2*r + 2*r) - 4*r**2 + 4*r**2 + 2*r**2).\nAnswer: -168*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*m + 19*m - 2*m + 15*m.\nAnswer: 22*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -10, -5 in increasing order.\nAnswer: -17, -10, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 38016 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*v - 37666 = 9447. What are the prime factors of v?\nAnswer: 4283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4\/206355 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -2*d + 25, 3*d = -0*s + 4*s + 65. What is the remainder when 246 is divided by 3\/d*15 + 80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 89*r**3 + 251*r + 58088 with respect to r.\nAnswer: 267*r**2 + 251","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -t, 5*l - 5*t + 9927 = 38712. Suppose -4*d = -9*d + l. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u = 2*v + 4*u - 669, 4*v - 4*u - 1328 = 0. Let r = v + 392. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -16a - 3?\nAnswer: -170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 288 = -17*v + 305. Put 5, v, -3, 12 in increasing order.\nAnswer: -3, v, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 754727?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-20)\/5 - -6) + 1 + -1. Solve -3*d = 4*l + 11, -q*l + 23 = -4*d + l for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + -24161?\nAnswer: -24155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 282149827?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -18530834\nAnswer: -37061668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -267*z + 271*z - m = 12, -15 = -5*z - 4*m. What is the least common multiple of 663 and z?\nAnswer: 663","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of -j**4\/8 + j**3\/6 - 13*j**2\/2 + 3*j. Let b(i) be the first derivative of d(i). Let y(w) = -2*w. What is 3*b(t) - 4*y(t)?\nAnswer: -t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 26 - 26. Suppose -10*g - 63 = -c. What is the smallest value in 1, g, 157?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1813 * 1831.\nAnswer: -3319603","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 499, 3579, 11813, 27769, 54015, 93119, 147649, 220173?\n\"Answer: 428*d**3 + 9*d**2 + 57*d + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.68174 - -0.68. Round l to 4 dps.\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/14046 and 61\/3.\nAnswer: 14046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - 2*o + 174, -24 = 2*i - o - 133. Suppose -5*u - 71 = -i. Sort -2, u, -1 in descending order.\nAnswer: -1, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 424, 3, 2.\nAnswer: -11, 2, 3, 424","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2*-2)\/((-6)\/(-2) - 4). Let x(f) = -f**2 + 5*f - 1. What is x(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 6*f + 15 + 19 - 54 + 8. Let j be z(2). Solve j = 2*m + 3*w - 2*w - 6, 2*m + 3*w = -2 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 2 m when four letters picked without replacement from {o: 2, m: 10, w: 6, e: 2}.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 737*a - 14019. Give o(19).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*u = 2*u - m - 9, 5*u + 4*m = -25 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -13*a - a**3 + 21 - 5 - 15*a**2 + 4*a - 6*a. Let u be p(-14). Let l(r) = u*r**2 - 21 - 31*r**2 + 5. Let b(v) = -2*v. Give b(l(z)).\nAnswer: 2*z**2 + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/18 and ((-82)\/145)\/((-132)\/(-165)).\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -3) + 1 + (6 - (6 - (2 - 44))).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -22 - 2114141?\nAnswer: -2114213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + -1 + (45 - 3). Let h = f + -28. Is h a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15419370 to the nearest integer?\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -16\/3867 and 77\/1305.\nAnswer: 1682145","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 3 = -9. Let g(w) = 9*w**3 + w**2 + w + 1. Let p be g(-1). Let y be 1*2*(-20)\/p. Solve -c*d = -y*d - 4 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -65872 (base 9) to base 13.\nAnswer: -16b95","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 103*k**2 - 99*k**2 + 13 + 16*k - 13 - 5*k**3 as c + v*k**2 + y*k**3 + d*k and give y.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2 + 15*u + 56. Let c be k(17). Let r = 19 + 3. Calculate the greatest common factor of c and r.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17215 is divided by 2864.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -9 - -6) + -9.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 10:08 AM?\nAnswer: 1:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*d - 1 + 1)*(2*d - 5 + 5)*(-24 - 37 + 21) + (5*d - 3*d - 3*d)*(-212 + 212 - 25*d)*(3 + 3 - 4) to the form i*d + h + y*d**2 and give y.\nAnswer: 210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27 + -22. Let l be 2\/z + 104\/40. Which is the closest to l? (a) -2\/5 (b) -0.2 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21585 is divided by 1457.\nAnswer: 1187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/680*4)\/(-3*(-3)\/(-10))?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/((-135)\/21)*2\/(-7)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of -5*q**4\/24 + q**3\/6 - 175*q**2. Let x(c) = -c - 4. Let u be x(-7). What is m(u)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*h**3 + 0*h**2 - 3*h**4 + 2*h + 51007 - 51009 - 3*h**2 as f*h + x*h**3 + a + l*h**2 + q*h**4 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*n + 62*n + 13*n = -1008 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 643937783 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 6542.\nAnswer: -654.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 - 20*i**2 - 74*i + 652. What is p(22)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-17)\/170)\/((-15)\/225)*24\/27?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 55, 189, 561, 1291, 2499, 4305, 6829, 10191?\nAnswer: 14511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 2969?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4511, -9021, -13531, -18041, -22551, -27061?\nAnswer: -31571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5905, -23606, -53107, -94408, -147509?\nAnswer: -212410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 929, 4, -2 in descending order.\nAnswer: 929, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 28395740 times 2\nAnswer: 56791480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 201297 to the nearest integer?\nAnswer: 449","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1741 is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/190 - (114\/76 - 1457\/1026)\nAnswer: -5\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.11068 and -880.\nAnswer: -97.3984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1168 at most 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of -10*k - 15*k**6 + 64*k**6 + 2*k**4 + 49 - 2*k**4 + k**2 - 199. What is the second derivative of j(z) wrt z?\nAnswer: 5880*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*v - 24 = i + 36*v, -10*i - 2*v - 16 = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*m - 3*x + 233 = -47*m, -3*m - 73 = -31*x for m.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/6)\/((-40)\/180).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1440020 - 3441?\nAnswer: 1431024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -8. Solve m*d - 5 = 5 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 11:12 PM?\nAnswer: 5:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*f = 20*f - 2*p + 10, 3*p = 0. Do f and -10\/19 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-7) - 2908323\/(-336). Let r = d + -8659. Calculate the common denominator of 73\/8 and r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -2*n**2. Let i(p) = -2084*p - 470. What is i(o(a))?\nAnswer: 4168*a**2 - 470","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-272)\/(-12))\/(-4))\/((-47)\/141)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -g - 58, 5*g = -3*m + g + 87. What is the remainder when 86 is divided by m?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 - 2*i + 3*i)*(4*i**2 + 2*i**2 - 3*i**2 + (2*i - i - 5*i)*(2*i + 2*i - 3*i)).\nAnswer: -i**3 + i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 + 23*f + 26. Let d be g(-22). Suppose 2*c + z - 55 = 82, -3*z = -d*c + 279. Calculate the highest common divisor of 69 and c.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 times 0.1513?\nAnswer: 3.3286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + -3.4. Let i = 1973 + -1972. Which is the biggest value? (a) f (b) i (c) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 3*w**2 - 5*w + 4. Let g be s(4). Let f = -20 + g. What is the least common multiple of f and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hg when two letters picked without replacement from {g: 2, h: 3, m: 7, k: 1, w: 1}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 29707 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 12\/4 + -2 + -1 + 27. Let n(j) = 5*j**2 + 13 + j**2 - 4*j - b - j**3 + 13. Let s be (20\/(-6))\/(4\/(-6)). What is n(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 39*z - 1. Let y(i) = -2*i + 8. Let r(a) = f(a) - 5*y(a). Suppose 15 = 3*o - c, -4*o - c + 28 = -5*c. List the prime factors of r(o).\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53346 is divided by 25824?\nAnswer: 1698","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 p when two letters picked without replacement from appppppppppp.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95300 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 2*n**2 - 3*n - 2. Let l(i) = i + 7. Let z(x) = x + 7. Let b(m) = 4*l(m) - 5*z(m). Let r be b(-11). List the prime factors of w(r).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c**3 + 23*c**2 + 9*c - 32. Let u be d(-11). Calculate the remainder when ((-5336)\/(-230))\/((-4)\/u) is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 651084, 652725, 654378, 656049, 657744?\n\"Answer: a**3 + 1634*a + 649449","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, y: 2, w: 5}. What is prob of picking 2 b?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*i = 20*i - 5*i + 648 for i.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -131444\/33 or -3984?\nAnswer: -3984","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 986583 is divided by 3094?\nAnswer: 2691","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 14\/126 - (-28)\/(-63). Which is the nearest to -0.1? (a) 1\/3 (b) 15 (c) -6\/7 (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 + 9*h + 11. Let r be m(-9). Suppose 5 + r = 4*n. Suppose 5*v = -10, 5*i + 52 = 9*i - n*v. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -282*w**2. Let i(s) = -24*s + 8. What is i(f(n))?\nAnswer: 6768*n**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gcmcpssxp. What is prob of picking 1 c and 1 p?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (621\/483)\/(102\/28)?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-2\/35))\/l)**(-2\/23)\/(((l**3*l)\/l)\/l**(-1\/27)) assuming l is positive.\nAnswer: l**(-65902\/21735)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36912, 3, 76.\nAnswer: -36912, 3, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 362*l - 357*l. Let n(f) be the second derivative of 1\/4*f**5 + l - 25\/2*f**2 - 35\/12*f**4 + 55\/6*f**3 - 32*f. Factor n(o).\nAnswer: 5*(o - 5)*(o - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 624425882*q**2 - 689538279*q?\nAnswer: 1248851764","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.02 (b) 0.1 (c) 1656 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + g + 14 = 0, -10 = -5*b + 7*g - 2*g for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3. Suppose -k + 2*k = 2. Suppose 7*j = k*j + 15. Let p(w) = 3*w**2 - 9*w**3 + j*w**3 - 2*w**2. Determine 4*a(t) - p(t).\nAnswer: 2*t**3 - t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -0.6, 1\/9, -0.3, 4?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 18269.19 rounded to the nearest 1000?\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 219144 and 134136.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - 0) + -15 - 1. Let d be 2\/8 - 124\/q. Suppose 3*i = -4*h + 9, i + 0 = -3*h + d. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p + 1. Let f be 1 + -3 - 2\/1. Let u = -3 - f. Let g(s) = -2*s**2 + 5*s + 3. Give u*g(h) - 4*z(h).\nAnswer: -2*h**2 + h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4193?\nAnswer: 7, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 - 17*c**2 - 21*c + 5. Let d be g(-16). Let a = d + 14. What are the prime factors of a?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 16\/(-6)*(-3)\/10. Which is the third smallest value? (a) -5 (b) 2\/7 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 142 + -101. Calculate the highest common divisor of p and 82.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 1441?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 5*h**3 + 2*h**2 - 2*h + 1. Let y be l(1). Let a(o) = 2*o - 2. Is a(y) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -13862*m. Let h(k) = -2*k. Give h(w(q)).\nAnswer: 27724*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j + 6. Let w(f) = 4*f**2 + f + 1. Let h be w(-1). Let x be u(h). Suppose 2*v + v = 5*b + 42, x*v = -3*b + 9. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 648.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 4*x - 20, 5*x - 39 = -4*u - 14. Suppose u = -t - 5 + 11. Suppose t*m + 2 = 182. What is the remainder when m is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pe when two letters picked without replacement from {o: 6, y: 4, p: 3, g: 2, e: 3}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3356783?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.1048498ml?\nAnswer: 0.0001048498","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77941888.\nAnswer: 2, 643, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = -8*u, -2*o = -2*u - 1946 + 1918 for o.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 106 (b) -2\/7 (c) 3\/11 (d) -4 (e) 5 (f) -2\/13 (g) 1\/5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2 - 158*b - 4255. Give d(-124).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.77 to zero dps.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5572435609 to the nearest integer?\nAnswer: 1773","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x**3 - 34*x**2 + 23*x - 1. Let n(q) = q**3 + 17*q**2 - 11*q + 1. Let j(p) = 3*g(p) + 7*n(p). What is the units digit of j(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 1:12 AM?\nAnswer: 11:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of 7\/24*a**4 - a**2 + 0 - 1\/60*a**6 - 5\/6*a**3 + 1\/30*a**5 + 0*a. Let g be c(-7). What is g rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1669, -1673, -1677?\n\"Answer: -4*n - 1665","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 441264 and 1392.\nAnswer: 441264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 183 + -177. Let a be (-3)\/1 + x + 1 + -1. Solve 0 = -2*b + a*b + 5 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1034 (b) 0.3 (c) -1 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 189 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of -r**6\/10 - r**3 - 6*r. Find the second derivative of n(i) wrt i.\nAnswer: -36*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 - 6*d**2 + 17*d + 8. Let y be f(-8). Suppose -g - 2 + 4 = y. Factor -g*o**2 + 8*o - 1036 + 0*o**2 + 1030.\nAnswer: -2*(o - 3)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8)\/(-10)*130\/(-4). Let j = i - -24. Let n be -4*j*15\/40. Solve 3*q + 3 = -a, -n*q + 0 = 3 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -5. Let z = 86 + -49. Differentiate -3 - 3*b**3 + 37*b**v - z*b**2 with respect to b.\nAnswer: -9*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7043 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 5*n**2 - 3*n - 8. Let c be 3\/(-6) - 1*7\/(-2). Is 14 a factor of v(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -426.7525 - -15030960.\nAnswer: 15030533.2475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29671.55541 + -29672. Round d to one decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 9*q + 381. Let l be m(-40). Solve 26*p - l*p + 15 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6774 is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1018 and 20.\nAnswer: 10180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 42478?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 53798347 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 32553*h**6*j - 2*h**2*j + 73*h**2 + 2 wrt h?\nAnswer: 3906360*h**3*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -27*w**3 + 529*w**2 + 1126*w - 1. What is v(-2)?\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -4*f**3 - 35*f**2 + 13*f + 13. Let p(b) = 6*b**2 + 46*b - 127. Let c be p(-10). Let m(u) = 2*u**3 + 18*u**2 - 6*u - 6. What is c*m(n) + 6*d(n)?\nAnswer: 2*n**3 + 24*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the first derivative of 8975*d**4\/4 + 3185*d**2\/2 - 9341. What is the second derivative of p(w) wrt w?\nAnswer: 53850*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2020211212111 + 11?\nAnswer: -2020211212100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 227, -8, 0.00321?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2720 is divided by 194?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.2 and 35.239.\nAnswer: 35.039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 + 2*i**2 + 2*i - 1. Let m(n) be the first derivative of 5*n**4\/4 + 11*n**3\/3 + 11*n**2\/2 - 6*n + 2. Let s = 39 - 35. Give s*m(y) - 22*b(y).\nAnswer: -2*y**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in seventy-three quarters of a meter?\nAnswer: 1825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 178 - 175 - (0 + 0 + -7)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -1090036?\nAnswer: 3\/1090036","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 - 0\/(1 - 0). What is the closest to -0.1 in q, -2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2313873 and 72.\nAnswer: 18510984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2*k**3 - 198*k**2 + 121*k - 1305. Calculate the remainder when x(-100) is divided by 20.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.06064 - -0.00064. Which is the nearest to 1? (a) -2\/7 (b) 0.2 (c) -2\/3 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**2 + 0*s**2 - 4*s**2)*(2*s**2 - 2*s**2 - 2*s**2)*(-18 + 34 + 5).\nAnswer: 210*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 8 = -w + 5, 0 = 3*q - 2*w + 6. Put q, 16, -2 in increasing order.\nAnswer: q, -2, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 200 - 196. Suppose -s = -o*t - 445, -5*t = -2*s + 328 + 547. What are the prime factors of s?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-107)\/(-1284)*((-26)\/10 - -1)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p + p - 3*p)*(142*p - 7*p**2 - 142*p).\nAnswer: -14*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 710823 and 1087809?\nAnswer: 2271","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 48 + -36. Solve -8*m - 4 - v = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 474 and -4.\nAnswer: 470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 13193.5 centuries in years?\nAnswer: 1319350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + -2347a31?\nAnswer: -2347a36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 335 and 3?\nAnswer: 1005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 8*f + 0*f + 1 - 9*f. Let z(b) = -b**5 - 2*b**4 - b**3 - 5*b + 5. Let o(i) = 5*c(i) - z(i). Let o(j) = 0. What is j?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = 10*g + 38 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4580 + -4579.9. Which is the biggest value? (a) 0.5 (b) h (c) 5.1 (d) 5 (e) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/(-2))\/(-3 + 408\/138). Suppose -f*c + 15 = -20*c. Let q(w) = -w**3 + 6*w**2 - 7*w + 1. Give q(c).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -354*d + 136*d + 82*d + 130*d. Let n(j) = 25*j**2 + 5. Determine r(n(z)).\nAnswer: -150*z**2 - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/4 + 10\/4. Factor 30*o**m - 6*o**2 - 51*o - 103 - 3*o**3 + 133.\nAnswer: -3*(o - 5)*(o - 2)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -282*h + 268*h - 3*n = -39, h + 3*n = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a millisecond in microseconds?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -35*f**2 + 10*f**4 - 10*f**4 + 7*f**2 - 7*f**5 wrt f.\nAnswer: -420*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 457032 and 417?\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*h + 29*h - 453 = 0. List the prime factors of h.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2122 (base 3) to base 6.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z + 268 = -4*z. Let p = -39 + z. Does 28 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of -10\/3*q**3 + 0*q**2 + 1\/40*q**5 + 1\/12*q**4 + 0*q + 1. Let o(n) be the third derivative of t(n). Determine o(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8*a*o*s*w - 648*a*o - 217*a*s**2 + 12*a*w + 3*a - o*s**2*w wrt s?\nAnswer: -8*a*o*w - 434*a*s - 2*o*s*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(700) - (-1*sqrt(700) + 4))**2.\nAnswer: -160*sqrt(7) + 2816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 803441467*n**2 + 815721091*n?\nAnswer: 1606882934","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2128*s**3 - 8811*s**3 + 3967*s**3)*(4*s + 9*s - 1 - 6*s - s).\nAnswer: -16296*s**4 + 2716*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 122 and 1511214?\nAnswer: 1511214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20122022 (base 3) to base 9.\nAnswer: -6568","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13815533 is divided by 2302575.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 15*r + 6*r = -4*r - 180, -153 + 55 = -o - 3*r for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.9057 - 20.2553. What is s rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 + 76*v**2 - 11*v + 834. Calculate k(76).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/2*-2)\/(((-98898)\/16854)\/(-311)).\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5400*z + 20482 - 15171 + 20466 = -6623 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 310311233 (base 5) in base 4?\nAnswer: 10303222201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19 - 8) + 20 + -5.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of -u**5\/20 + u**4\/2 + 4*u**3\/3 - 3*u**2 + u. Let y = -216 - -63. Let w be 34\/y + (-130)\/(-18). Determine d(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33203, -33140, -32969, -32636, -32087?\nAnswer: -31268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5*752\/1560*(-4 - 172\/(-40)) and 41\/390.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-10)*((-1 - 2280\/112) + 21)?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 62409.8l?\nAnswer: 62409800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85 = 2*x - 2*j - j, 3*x + j - 155 = 0. Calculate the least common multiple of 50 and x.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 62515 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d + 4. Let u be w(-4). Let l be 10*(-2)\/u*2. What is the units digit of (-4)\/(-2) - 25\/l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) -0.5 (c) -3 (d) 11 (e) 2\/91 (f) -2\/8921\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -20110 to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2022\/8 - (-10)\/8 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15 - 8)\/(685\/(-2055))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 50*c**4 - 6*c**2 - 3*c - 1072. Let g(l) = 102*l**4 - 10*l**2 - 5*l - 2143. Let y(w) = 5*a(w) - 3*g(w). Find the first derivative of y(s) wrt s.\nAnswer: -224*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, -90 in descending order.\nAnswer: 5, -5, -90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 219*q - 92*q - 126*q + 94.\nAnswer: q + 94","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of 0*o + 27\/16*o**2 + 80 + o**3 - 3\/32*o**4. Factor g(c).\nAnswer: -3*c*(c - 9)*(c + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 356602 - 30310773\/85. Let t = 8\/17 - x. What is the common denominator of t and -6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 - 12 + 201*p**3 + 1840*p - 1840*p - 401*p**3 + 193*p**3.\nAnswer: -7*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 2*d**2 - 126*d + 1803. Calculate q(38).\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (3860 - 3896) + (19 - (0 - 0))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -461.4 - -461.7. Let r = 0.02 + 6.98. What is the closest to 1\/5 in r, -0.4, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -181, -400, -617, -832?\n\"Answer: g**2 - 222*g + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 302 = -4*m + 314, 0 = 5*r + 5*m - 65 for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1957 + 4276. What are the prime factors of k?\nAnswer: 3, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*y - 1. Suppose y*k = -k + 20. Solve 5*x - k*f - 40 = 0, x = 2*f + 15 - 2 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -419143*b**2*s**3 + 4*b**2*s**2 + 749*b**2*s + b*s**2 + 2*s wrt s?\nAnswer: -2514858*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02964 take away 0.5?\nAnswer: -0.52964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3016939 <= 3017044?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - -5617?\nAnswer: 5620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 72 and 3816?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-3\/2)\/((s*(s**3\/s)\/s)\/s)*s\/(s**(-1\/8)*s)*s*s*(s\/s**6)\/s)**(-35\/2) assuming s is positive.\nAnswer: s**(1785\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(2592))\/((sqrt(24)*4)\/sqrt(4)))**2.\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.2 or 51933254?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 PM and 6:23 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**2 - 106468*b - 11663080.\nAnswer: -4*(b + 110)*(b + 26507)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from {g: 5, i: 14}?\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jqaqsa. What is prob of picking 2 q?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/8 + ((-7)\/(-14) - 24)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -161 + 5312603?\nAnswer: 5312412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (1 + (sqrt(19) + sqrt(38)\/sqrt(2))**2 - (sqrt(76) + 0 + sqrt(76)) - (1 + sqrt(76)\/sqrt(256))) + -4.\nAnswer: -33*sqrt(19)\/8 + 71","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2\/9 + 242*q - 483916\/9.\nAnswer: -2*(q - 778)*(q - 311)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1944\/13 at most 149?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -379132, -379152, -379174, -379198, -379224, -379252?\n\"Answer: -q**2 - 17*q - 379114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.59 - 4.41. Which is the closest to -2? (a) -2\/39 (b) y (c) -4 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -7*l - 3. Let d(h) = 12*h + 5*h - 2*h - 958 + 965. Calculate 6*d(r) + 13*p(r).\nAnswer: -r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -42*m - m - 20*m - 5*m. Let t(h) = -2*h. Give t(r(x)).\nAnswer: 136*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(4\/5)*i**(-4\/9))**(-3\/25) assuming i is positive.\nAnswer: i**(-16\/375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2660 or -2672?\nAnswer: -2660","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -9*i - 10. Suppose 7*l - 29 = 27. Let c be 9\/2 - (-12)\/l. Let r(n) = -55*n - 60. Let u(p) = c*r(p) - 35*o(p). Differentiate u(k) with respect to k.\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*k - 16*k = -4*t + 64, 0 = -3*k + 4*t + 20. Solve 0 = 4*b - 2*z - 8, 3*b + k = 8*b - 3*z for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, z: 2, d: 5, v: 1, x: 9}. Give prob of sequence dzvd.\nAnswer: 1\/1836","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 - -11. Let w(k) = -q*k + 3*k - 1 + 2*k + 4. Determine w(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -47*g + 35*g. Let x(u) = -u**2 + 6*u. Let k be x(6). Which is smaller: g or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 397831422 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 6 - 1 + 0*i**2 + 3*i - 4 + i**2. Let u = 22 + -19. Suppose -4 = -2*o - 2*p, 20 = -u*o + 5*p - 6. Calculate y(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.175 - -1112516702\nAnswer: 1112516702.175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 102*i - 3061. Let o be x(30). Let n = -1\/274 + 3017\/822. Is o less than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sttstttstsststttstt. Give prob of sequence tst.\nAnswer: 154\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -3*x - 20, -4*t - 9 = -2*x + 7. Let q(l) = -l**3 + 3. Let a be q(0). Suppose x*r = -r - 2*y + 18, -28 = -r + a*y. Solve r = 5*m - 3 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**2 - 2172*h - 2168.\nAnswer: -4*(h + 1)*(h + 542)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -118*j**4 - 34 + 20*j**3 + j - 18*j**3 + 33 to u + z*j**4 + b*j**2 + a*j + s*j**3 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23847102?\nAnswer: 2, 3, 441613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 222308 a multiple of 373?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 + -12. Let d(w) = -w + 6*w**2 - 5*w + c*w. Calculate the smallest common multiple of d(1) and 7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23 + 16. Let l = -22\/3 - q. Is -1 equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 v when two letters picked without replacement from quaqoaauqvauuvqu?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 428*x - 120 = 431*x. Let l(u) = u**2 + 34*u - 227. Let c be l(x). Solve -10 = 3*m - c for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11\/12, -4\/5, -351, -1, -12, 2 in decreasing order.\nAnswer: 2, -4\/5, -11\/12, -1, -12, -351","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 - 5*x**2 + 7*x + 24. Let g be u(-6). Suppose 3*l - 5*q = 524, -g*q + 23*q = l - 168. Is 32 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/13)*(h*h*((h\/((h*h*h**(2\/91)*h)\/h))\/h)\/h*h)\/h)\/(h**40*h)**(-3\/11) assuming h is positive.\nAnswer: h**(10324\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(384)\/(sqrt(8) + sqrt(648)*3 + sqrt(648) + sqrt(648) + sqrt(8) - sqrt(8)) + 1 - (-3 + ((4 + sqrt(3) + -2)*1)**2*5).\nAnswer: -458*sqrt(3)\/23 - 31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 6*k + 82. Let m be d(14). Let y = m - 183. Is y smaller than -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 374 and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 4*n**2 + 817288*n + 186133728 = 0?\nAnswer: -204094, -228","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (2148\/(-5))\/((-180)\/600).\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -1106, 3939?\nAnswer: -1106","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -289, -9582, -18875?\n\"Answer: -9293*r + 9004","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) + ((sqrt(153) - (sqrt(153) + 4*sqrt(153) - sqrt(153))) + sqrt(153))*-6)*6)\/((-4*sqrt(567))\/sqrt(7)).\nAnswer: -13*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**3 + 20*m**2 - 52*m + 28.\nAnswer: 4*(m - 1)**2*(m + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2*(-9)\/10*395\/237. Let l(a) be the first derivative of 0*a**4 + 0*a**2 + 24 - 7*a**i + 34\/5*a**5 + 0*a. Find the third derivative of l(d) wrt d.\nAnswer: 816*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(1296)\/sqrt(12) + sqrt(36)\/sqrt(3) - (sqrt(75) + (sqrt(75) + 0 + sqrt(75))*-6)*-1) + -1)**2.\nAnswer: 470*sqrt(3) + 33140","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 + 4 - (-4 - (6 + (-3 - 1)))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 4*k + 2*c - 58, -k + 4*c + 44 = 0. Let t(v) = 56 - k - 28 - v. Let q(o) = -3*o + 11. Determine -6*q(h) + 17*t(h).\nAnswer: h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 + 7*b**2 + 6*b + 19. Calculate the smallest common multiple of z(8) and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2079*y**3 - 1039*y**3 - 1259*y**3)*(1 + y - 3*y**2 - y).\nAnswer: 657*y**5 - 219*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 7 = -5*k. Let q(o) be the first derivative of 0*o**2 - o + k + 1\/3*o**3. Factor q(x).\nAnswer: (x - 1)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 60 and 2.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -421? (a) -1 (b) -4\/3 (c) 0.3 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38930?\nAnswer: 2, 5, 17, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1805 a factor of 601111196?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -131, -273, -439, -635, -867?\nAnswer: -1141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003649379608 to 7 decimal places.\nAnswer: -0.0036494","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/48*4161\/(-9709)?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -4*w**2 + 17*w + 3. What is the tens digit of s(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2683728.\nAnswer: 2, 3, 18637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 + 4*c**2 + 6*c - 2. Suppose 2*j + 5*x - 11 = 0, -3*j - 2*x = -32 + 10. Let v be j\/(-28) + (-37)\/(-7). Give w(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 89978426 to the nearest integer?\nAnswer: 448","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2*i**2 + i. Let l(w) = -9*w**2 + 10*w + 3. What is -l(s) + 5*p(s)?\nAnswer: -s**2 - 5*s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -111\/22 and 37\/7690012?\nAnswer: 7690012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 k when two letters picked without replacement from cccchcckcccchhccckcc?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32 (base 16) to base 14.\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1839, -3681, -5531, -7395, -9279, -11189?\n\"Answer: -c**3 + 2*c**2 - 1841*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 969 is divided by 45.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 0 + 2 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, 7, 1543, -6 in descending order.\nAnswer: 1543, 7, 4, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 - -11*(3 + -2). Calculate the highest common factor of z and 77.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11521059 is divided by 1789?\nAnswer: 1688","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 248046 is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of 51\/2*r - 66 - 3\/8*r**4 + 19\/2*r**3 - 105\/4*r**2. Solve q(a) = 0 for a.\nAnswer: 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (60\/21)\/((-25)\/(-70))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of (-1)\/(25\/65 - 2\/5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-24 - 2*o**2 + 21 + 16)*(-4 + 4 + o**2) in the form n*o**3 + c*o**2 + f*o + x + y*o**4 and give c.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1379, 2755, 4129, 5501?\nAnswer: 6871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.3, 2\/7, -0.36, -8?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2781836575 to the nearest integer?\nAnswer: 52743","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 7 = -n + 1, 10 = n + 2*k. Let h(t) be the third derivative of t**5\/30 + 7*t**4\/24 + t**3 + 2*t**2. What is the remainder when h(-4) is divided by n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 PM and 2:04 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*t - 2*t - 8. Let d = 6 - t. What is the remainder when 38 is divided by d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(209))\/sqrt(11)*-6 - (sqrt(19) + (sqrt(209) - sqrt(209)*2)\/sqrt(11))*1 - (3 + -1 + -2*sqrt(2299)*-2).\nAnswer: -56*sqrt(19) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 3241664?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31.507 + -31.3. Let n = 3.207 - m. Let y = -13 - -25. Which is the biggest value? (a) y (b) 0.3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {o: 5, z: 2, i: 1, b: 2, l: 1, x: 2}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - 4. Suppose 0 = -w - 3 - 2, -5*w = -h*l + 27. Calculate the remainder when ((-2)\/(-1))\/2*2 is divided by l.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2700324 by -150018.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 14 = 4. What is the units digit of 1*((-10)\/b - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/5 of a decade in months?\nAnswer: 1248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 217802773 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -341791, -683581, -1025373, -1367167?\n\"Answer: -a**2 - 341787*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-7 - 2)*60\/72. Put -3, 3\/4, 3, b in decreasing order.\nAnswer: 3, 3\/4, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2*c**2. Let f = -52 + 97. Let q(h) = 56*h - 128*h + f*h. Give l(q(s)).\nAnswer: 1458*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 67 - 47. What is the remainder when o is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2065445391.\nAnswer: 3, 59, 11669183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -5*x + 325, 3*x - 130 = -2*t + 7*x. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 235 (base 9) to base 4\nAnswer: 3002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - 1235111021?\nAnswer: -1235111030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 + 3*o + 6. Let q be n(4). Suppose -3*s = -0*s - 3. Let u = 14 + -9. Solve q*t - s = 1, u*i = 2*t - 22 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -73 (base 9) in base 8?\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 13208 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 75380566 a multiple of 183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*m + 2*j - 12, j - 3*j = 3*m - 2 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -38*p + 145. Let u be (8 + 410\/(-40))\/(2\/16). List the prime factors of q(u).\nAnswer: 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of -q**4\/12 - q**3\/3 + 16*q. Let d(j) be the second derivative of y(j). Let o(w) = -2 + 2 - 4 - 2 + w. Give -8*d(s) + 3*o(s).\nAnswer: 3*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1833*h = 1808*h + 270175. Is h a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3930?\nAnswer: 2, 3, 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 677514764?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 3*p = -15, z - 2*z + 5*p - 25 = 0. Put -12, z, -5 in decreasing order.\nAnswer: z, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 116?\nAnswer: 1\/58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 34 + -12. List the prime factors of q.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 41026, 41033, 41044, 41059, 41078?\n\"Answer: 2*k**2 + k + 41023","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i - 7 - 23 = 0. Let l be 64\/28 - (-4)\/(-14). Let a(z) = 9*z**l - 7*z - 4 + 4 + 9. Let h(b) = 14*b**2 - 11*b + 14. Calculate i*h(p) + 8*a(p).\nAnswer: 2*p**2 - p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*-4*4\/(-136)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-32)\/40)\/((-3)\/((-3)\/(-2))).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (48\/(2 - (-4 + 5)))\/2. Let j = t + -17. Calculate the highest common factor of j and 175.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 + 11*q + 17. Let g be r(5). Suppose 6*t = 11*t + 220. Let v = t + g. Solve 0*a + v*b = -3*a + 18, 4*b - 18 = -a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-58)\/(-20) - (-4)\/(-10)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24 and 30?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tounnltg. What is prob of sequence gtto?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3255*u + 644200 = 927385 for u.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1066, -1083, -1134, -1237, -1410, -1671?\nAnswer: -2038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 2*u**3 + u**2 - 2*u + 2. What are the prime factors of o(2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/((-9)\/(-48)))\/((-4)\/32). Let m = t - -294. What is the remainder when m is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -50, -65, -96, -149, -230, -345?\nAnswer: -500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3580, -7001, -10264, -13369, -16316?\nAnswer: -19105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*m**3 - 199024481*m**2 + 199024481*m**2 + 7*m**3.\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -282 + 349. Calculate the greatest common divisor of c and 469.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nw when two letters picked without replacement from nnnnwnnn.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tbbt when four letters picked without replacement from {t: 4, b: 6, y: 1}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -14.9, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + -5. Let f be j*(7 - -1)*3. Let z = -33 + f. Solve 5*w - 2*t - z = 0, t = 3*w - 3*t + 5 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 4*h = -33 + 69, 276*l = -103*l - 5*h + 3007 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -53, -98, -145, -194?\n\"Answer: -g**2 - 42*g - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*b**2*v**3 - 31*b**2 + 3*v**3 - 12*v**2 wrt b.\nAnswer: -4*b*v**3 - 62*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9381374*k**4 + 12*k**3 - 146554*k + 1415 wrt k.\nAnswer: -112576488*k**2 + 72*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2823 divided by 2192\nAnswer: -2823\/2192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -242 + (-2 - -4) + 1. Let v = 279 + q. Sort 5, v, 0.\nAnswer: 0, 5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3\/5 (b) 62 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 496 and -23820?\nAnswer: -11814720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + -5.3. Let p = -17.97 + -0.03. Let z = 19 + p. Which is bigger: f or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5301, -5610, -5919, -6228, -6537?\nAnswer: -6846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.68 less than 2409914?\nAnswer: 2409923.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6078 + 6077.999983632. Round t to 6 decimal places.\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -2*y + 12. Let f be n(4). Let v be 32*2\/(-30) + (0 - -2). What is the third smallest value in f, -1, -0.05, v?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 12:20 AM?\nAnswer: 9:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 q when four letters picked without replacement from tqtdffqpqqt?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 5*l - 14 = 0, -3*l + 3 = 2*m + 11. Solve -2*k = 4 - m for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 660 and 5844.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4429894743?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -71, -5.8, 3, -1, -2\/31?\nAnswer: -5.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 100 + w - 17 + 5*w**5 + 47*w**5 + w**5 - 18*w**5 wrt w?\nAnswer: 700*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-240)\/1320 - (2 - (-882)\/(-374))\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19, 134, 435, 1012, 1955, 3354?\nAnswer: 5299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((25\/(-20))\/5)\/((-14)\/16)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -6. Let m = -1 - -6. Factor 3*u**4 - u**3 - 2*u**3 + u**c - u**m + 0*u**4.\nAnswer: -u**2*(u - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -63 + (105 - (31 - -20)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1745564809 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -158 - -77. Let l = -47 - f. Suppose a + 3*z = l, -4*a + 96 = -3*z - 100. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -128\/1993 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3157 and -188?\nAnswer: 593516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9469\/47345)\/(((-69)\/(-18))\/(5\/4))?\nAnswer: 3\/46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*y + 0*y - 3*y**3 - 6*y.\nAnswer: -3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-5 + sqrt(5)*2 + ((sqrt(25)*3)\/sqrt(5) - sqrt(5)) + -2).\nAnswer: -12*sqrt(5) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 566 + -568.648. Let y = u + 1.681. Round y to 1 decimal place.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 - 5*q**3 + 8 - 6 + 4*q**3.\nAnswer: -q**3 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -172\/3 - -58. Is 3 at most as big as w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -353 + 367. Let x(i) = 10*i**2 + i - 1. Calculate the lowest common multiple of m and x(1).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 830343?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 265, 269, 283, 313, 365, 445, 559, 713?\nAnswer: 913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11100101010 - -11011?\nAnswer: -11100001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001503070469 rounded to 5 decimal places?\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -119, -200, -249, -266, -251, -204?\n\"Answer: 16*y**2 - 129*y - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.023605157 rounded to 5 dps?\nAnswer: -0.02361","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5209?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 24*k + 32. Let m(j) = j + 1. Let s(r) = 5*g(r) - 160*m(r). Let y be s(-2). What is the greatest common factor of y and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/107 or 0?\nAnswer: -2\/107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*w - 288 = -p, -55666*w = -55663*w + 3*p + 48 for w.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -93 + 7 + 73 + 29*q**2 - q + 10 + 60*q**2 in the form b*q**2 + s + x*q and give b.\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 25 = -6*z - 5*r, -7 = 2*z - r for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that d**3 - 1117381*d**2 - 3352150*d - 2234768 = 0.\nAnswer: -2, -1, 1117384","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -495, -1049, -1723, -2577, -3671?\n\"Answer: -10*j**3 - 484*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 64031?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2*j**2 + 700*j - 22074. Determine z(29).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -27*k**2 - 371*k - 16. Calculate the remainder when m(-7) is divided by 210.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1275 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q - 2*q - 25 + 4*q. Suppose -16*a = -65 - 95. Let w be m(a). Calculate the highest common divisor of 55 and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 - z - 6. Let q be k(5). Suppose o + 2 + q = 0. Let j = o + 23. Solve 0 = -d + 3*x - j, d - 2*x + 6 = -d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 6, s: 5, h: 2}. Give prob of picking 1 s and 2 h.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 + ((2 - 5) + 6 - (-2 - 1713)). What is the highest common divisor of w and 129?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135328099 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6911380?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together 607883032 and -10459.\nAnswer: 607872573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 714*c**3 + 85*c**2 - 85*c + 85. Let d(f) = 17*f**3 + 2*f**2 - 2*f + 2. What is -85*d(h) + 2*z(h)?\nAnswer: -17*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/3, -3, 48, -2\/4135, 4, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -754*a + 10904 = -870*a for a.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 + 2*u**2 - 1. Let b be l(-2). Let n = 3 + b. Solve -27 = -3*q - z - n*z, -2*q = -3*z + 2 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 3, 342409, 5, -8.2, -3, -7, 0.1?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/(-1) + (-15 - -14). Is -1\/8 >= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*o - o**3 - 3*o + (3*o - o - o)*(2 + 2*o**2 - 2) + o**3 + 9*o**2 - 3*o**3 - 5*o**2 + (3*o**2 - 6*o**2 + 2*o**2)*(-5*o + 4*o + 3*o).\nAnswer: -3*o**3 + 4*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate n*p**3 - 52*n*p*w + 12*p**3*w - 4*p**3 with respect to n.\nAnswer: p**3 - 52*p*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 233968 to the power of 1\/2, to the nearest integer?\nAnswer: 484","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 227?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107*p - 18 = -101*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.02 less than 66?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 4*u + 51 - 43 = 0, -5*o + 3*u = 2. What is the greatest common divisor of 122 and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -3*o + 0*o - 8 + 8*o - o. Suppose 5*a + 15 = 5*s - 35, -a - 30 = -5*s. Let y be l(s). Calculate the highest common factor of 3 and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -27\/4, 2\/21, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -319 + 318.9. Which is the second smallest value? (a) -5 (b) -2\/9 (c) s (d) -0.32\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (35\/49)\/(32 + 2457\/(-81)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17.6 - 7.9. Let m = -26 - h. Which is the nearest to 1\/2? (a) -1 (b) 0.2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 59855083?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 29*n**2 - n + 15. What is the units digit of h(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 16\/289, -0.5, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -4*j + 11 + 5, -3*m - 12 = 0. Let i(h) = 2*h - 3. What is i(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)*2*-5 + sqrt(110) + (2*sqrt(110)*-6 - sqrt(110)) + sqrt(110))\/(((sqrt(100)*-2 + sqrt(100))*-4)\/sqrt(10)).\nAnswer: -21*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 2*d**3 - 14*d**2 + 15*d - 109. What is n(7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 - 14*s**2 - 8*s - 4. Let q be k(15). Let r(v) = 101 - q - 2*v + 3*v. Let b(w) = 3*w - 3. Calculate b(r(z)).\nAnswer: 3*z - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 4 = k, -22*x + 5*k + 65 = -34*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25, -40, -63, -94?\nAnswer: -133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -3.34. Let k = 0.04 - o. Round k to 1 dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 3*k - 2. Let c(n) be the third derivative of n**6\/12 - n**3\/6 - 2*n**2. Give c(k).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1555*m**4 + 384*m**2 wrt m?\nAnswer: 37320*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/3 (b) -3 (c) 1 (d) -2 (e) -2259\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88863 - 16948 = -3785*v for v.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 495338*h + 858. Let o be d(9). What is o rounded to the nearest 10000?\nAnswer: 4460000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -86 * 14234.8.\nAnswer: -1224192.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lo when two letters picked without replacement from lllleollelllelle.\nAnswer: 11\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*c**3 + 6*c**3 - 3*c**3)*(10 - 1 - 1) to the form g + q*c + n*c**2 + h*c**3 and give h.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/7 bigger than 0.384?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from usxuuwussxwsuxwss. Give prob of picking 2 w.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 115749704 and 16366.\nAnswer: 810247928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3420)\/14 - (-6)\/21. Let k be -5 + i\/(-30) + (-2)\/15. Suppose -2*b = -u + 3*b + 3, 0 = -2*u + k*b + 27. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, 1\/6, 942.1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 20*j**2 - 26*j + 28. Let o(h) be the first derivative of 11*h**3\/3 - 7*h**2 + 15*h - 278. Let g(r) = 11*o(r) - 6*p(r). Solve g(m) = 0 for m.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.05 - 0.45. Let s = -0.1 - -0.1. Let u = s + w. Which is the closest to -0.1? (a) -3 (b) u (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18 and 6435?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1008152?\nAnswer: 2, 126019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -6*w - 3. Let k(r) = 487*r - 909*r + 446*r. Determine k(d(y)).\nAnswer: -144*y - 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 8 - 16. Let k be 36\/(-16)*y\/(-3). What is the second derivative of -4*q - 4*q**5 - k*q**2 + 6*q**2 wrt q?\nAnswer: -80*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -319 and 3.81513.\nAnswer: -1217.02647","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(3 + (-4 + (sqrt(20) - -3*sqrt(20) - sqrt(20)))*-3).\nAnswer: -18*sqrt(5) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.376 - 0.624. Let t = 11 + -15. Let v = -547\/4 - -136. Which is the nearest to o? (a) v (b) t (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 561*v + 45155*v + 25321*v - 6064*v.\nAnswer: 64973*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 0)*(0*g**2 - g**2 + 2*g**2) + (2*g + 6*g - 3*g)*(-g - g + 4*g).\nAnswer: 8*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 785987.\nAnswer: 29, 27103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 4\/3, 6, 0.1385 in ascending order.\nAnswer: -1\/2, 0.1385, 4\/3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12*a**2 + 12 - 3*a**2 + 16*a**2)*(-2 - 1 + 1 + 1 - 3 + 4 + (-3 + 0 + 4)*(-1 + 2 + 1)) as q*a + o*a**2 + l and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l. Let z(v) = 480 - 480 - 28*v. Give h(z(k)).\nAnswer: -28*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-161)\/(-138) - 94\/60.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(21)\/(sqrt(6)\/sqrt(2) + sqrt(3)) - (sqrt(63)*6)**2) - (3 + sqrt(112) + -3 + ((1*sqrt(112) + sqrt(112) - sqrt(112)) + sqrt(112))**2).\nAnswer: -7252 - 5*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (22166\/6)\/((-1)\/(-3)). Let r = p + -3938. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -653*f*x**3 - 124*f*x + 2*f + 2*x**3 + 7*x wrt x?\nAnswer: -3918*f*x + 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -312*z + 12 + 151*z + 11*z - 4*z to the form x*z + d and give x.\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1982581*y**2 + 991290*y**2 + 991290*y**2.\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/6 and (-86)\/(-26) + 0\/(-1 - -3).\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 80855 and 85?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.3 from 0.23.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of -g**6\/120 + g**5\/10 - g**4\/8 + 2*g**3\/3 + 3*g**2. Is 14 a factor of o(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9 - ((-552)\/(-32) - 8). Sort -0.5, -448, v.\nAnswer: -448, -0.5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 20517, 20515, 20513?\n\"Answer: -2*f + 20519","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10.74 - -1174.26. Let u = v + -1185.0002465. Round u to 5 dps.\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -8*l**2 + 2*l - 9. Let x = 39 - 35. Let h be d(x). Let s be (h\/(-42) - 3)*-4. Which is the second smallest value? (a) s (b) -3\/7 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -227 + 343. Let t = s - 106. Let k(w) = -w + 8. Determine k(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2044 (base 6) to base 3.\nAnswer: 122001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**2 - 4*v. Let p(z) = -132 - z + 264 - 132. Let r(b) = i(b) - 4*p(b). Let a(u) = 9*u**2. Give r(a(q)).\nAnswer: -81*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 70\/4*6\/15. Let j(u) = 6*u + 0*u + 0*u**2 - x - 6*u**2 + u**3 + 0*u**2. Determine j(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 711 (base 8) to base 9\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 22816604 divided by 31778\nAnswer: 718","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 + -9. Suppose 3*j + 2*j - 20 = y. Solve 0 = 3*q - 9, -j*q + 9 = -3*p + 4*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2717 and 1287.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of -k**3\/3 - 2*k**2 + 12*k. Let a be d(-3). Solve -4*f - 6 = -a for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1289.\nAnswer: 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57478 = 26*j + 17*j - 247048. What is the hundreds digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(3\/5)\/b)\/b**(-17) assuming b is positive.\nAnswer: b**(83\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 2 + 1. Let q be (p + 10)\/1*-1. Let z = 3 - q. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of -s**3\/3 + 6*s**2 + 5*s + 128. Let h be l(0). Let m(q) be the third derivative of q**4\/6 + q**3\/3 - 2*q**2. Give m(h).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -8*b + 0 + 28\/3*b**2 - 4\/3*b**3 = 0?\nAnswer: 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1.2 (b) -20 (c) 0.2 (d) 152\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 238 and 357?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2773*v + 30. Let w be a(3). Suppose -22*s + w = -17127. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((30 - 20) + (-8 - -4) - 4) + 10\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42.508908 minutes to days.\nAnswer: 0.029520075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26 + -29. Let z(w) = 2*w**2 - 3. Let i be z(t). Suppose 10*n + 30 = i*n. Calculate the highest common factor of n and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 - 10*s + 4. What is y(9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 8\/6*-1*6\/(-28)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a kilometer in centimeters?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(15) - (sqrt(15) - sqrt(135)))*-2 - sqrt(135)\/(sqrt(45)\/sqrt(5)))\/((sqrt(6) - 2*sqrt(600))\/sqrt(2)*1)*-4.\nAnswer: -28*sqrt(5)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 422 + -415. Solve -d + 0 = 7*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.084 and -0.0332.\nAnswer: 0.0508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 3*v. Let u(w) = -5*w**2 - 12*w - 4. Let l(t) = 4*t**2 + 9*t + 3. Let p(g) = -4*l(g) - 3*u(g). What is q(p(r))?\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000065895 rounded to seven decimal places?\nAnswer: 0.0000066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, -12, -67, -176, -357, -628, -1007, -1512?\nAnswer: -2161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 3*p - 9 = 0, -28*p = -25*p - 3 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -2*z**5\/11 + 4*z**4\/11 - 2*z**3\/11 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -20*w**3. Let j be o(-1). Suppose 15*r = 17*r + 744. Let b be 1984\/r*(0 + (-3)\/4). Solve 0 = a + b*a - j for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 11 + 29143*q + 5037*q.\nAnswer: 34180*q","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kov when three letters picked without replacement from {n: 2, o: 1, k: 2, b: 1, v: 2, u: 1}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -9*(-16)\/(-24) - -12770 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003240309 rounded to 6 dps?\nAnswer: -0.00324","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 46992.742 + -46953. Round n to 0 decimal places.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 16) in base 12?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/18 + 148\/18. Suppose s = -r + 3*r. Suppose 0 = 5*a + r*i - 383, 0*a = -a - 3*i + 70. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -32\/9? (a) 4 (b) -0.41 (c) 2.1 (d) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -783*x - 34207 = -100*x - 10302 for x.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*z = 42*z - 151*z + 5662 for z.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 - 39 = -b. Calculate the highest common factor of 150 and b.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 a when two letters picked without replacement from zzzbaozaaz.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7124*y - 1713*y = -216440 for y.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -2*r**2\/9 + 47986900*r\/3 - 287842821451250 = 0.\nAnswer: 35990175","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 26815861?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 9:23 AM?\nAnswer: 8:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2, -14, -42, -88, -158?\n\"Answer: -j**3 - 9*j + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -5 + -37 - -21 - -2\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-3)\/2 + (-736)\/(-192).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r**2 - 6*r**2 - 14*r**2 + 3*r**2.\nAnswer: -16*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 c when three letters picked without replacement from dhcczddldcd?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.068? (a) 4\/7 (b) -0.4 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*(-50)\/135 + (-4)\/(-18)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 213 a factor of 27587121?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12 + 25*x**2 + 175*x - 357*x + 17*x**2 + 178*x wrt x.\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a week in minutes?\nAnswer: 68040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*g = 4432 - 4472 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 23 = 2*l, 2*c + 4*l - 5*l - 31 = 0. Suppose 69 = 4*h + c. Calculate the greatest common divisor of 154 and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4756 + 4756.2. Let i = -0.01 + -0.49. What is the third smallest value in 5\/2, 1, s, i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 323670.\nAnswer: 2, 3, 5, 10789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-114)\/4)\/((-2)\/12). Suppose -2*x = x - a. Suppose -m + x = 3*f, -5*f + f = 3*m - 76. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 347, 357, 365, 365, 351?\n\"Answer: -x**3 + 5*x**2 + 2*x + 341","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*w + 0*w - 6527*w**2 - 3 + 6528*w**2 + 0 as f*w**2 + n*w + c and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 5. Let r(y) be the third derivative of y**4\/24 - 2*y**3\/3 + 3*y**2. Let f be r(3). Which is the smallest value? (a) f (b) m (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1710\/(-133))\/(3\/(-28)). Let h be 225\/j + 3\/24. Sort 5, h, -32.\nAnswer: -32, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -4*w**3 - 33*w**2 - 15*w - 51. Determine y(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1623782 divided by 6?\nAnswer: -811891\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of -f**4\/4 + f**3\/3 + 14*f - 1. List the prime factors of x(0).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 2*c**2\/7 - 1718*c\/7 + 9360 = 0.\nAnswer: 40, 819","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2186570 and 910.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-3*sqrt(17) + sqrt(17) + 2.\nAnswer: -14*sqrt(17) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1727 - 115 = 5*j - 4*a, 3*a - 364 = j. Round j to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -2*c. Let t(p) = p + 9. Let m be t(-7). Suppose 0*l + 4*h = -2*l + 4, -2*h = 2*l - m. Let a(q) = 2*q**2 + 3*q**2 + l*q**2. Give d(a(o)).\nAnswer: -10*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 = 3*d + 19 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6025 is divided by 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -4*k - 19. Let u(a) = -130*a**2. Calculate h(u(i)).\nAnswer: 520*i**2 - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of -17*z**3\/6 - z + 42. Let d(a) = -3*a - 3. Let t(f) = 3*f + 4. Let b(y) = 4*d(y) + 3*t(y). Give l(b(j)).\nAnswer: 51*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.7, 1\/23, 0.2, 2\/15, 0.5?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 + 65 = 5*z. Suppose 0*u = 2*u + z, -5*n - 4*u + 1080 = 0. Suppose 3*p + 7*p - n = 0. List the prime factors of p.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -232*c**2 + 15745*c + 2076. Calculate l(68).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -4551000 to the nearest one hundred thousand.\nAnswer: -4600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9024.36 micrometers to meters.\nAnswer: 0.00902436","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*l**2 - 108*l**2 + 32*l**2 + 39*l**2.\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7992*y - 4*y**2 - 8000*y + 16007*y + 0*y**2.\nAnswer: -4*y**2 + 15*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 162209 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2699, 10448, 23367, 41462, 64739, 93204, 126863?\n\"Answer: l**3 + 2579*l**2 + 5*l + 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 52 and 117182.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/6 - 21\/(-6). Suppose -2*n + 6 = 0, 6*v + q*n - 24 = 5*v. Solve d = 4*o + 20, 6*d - v = o + 4*d for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6298 + 862*y**2 - 6298)*(0 + 0 - y).\nAnswer: -862*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + -3 - 11) + (-43 - (67 + -186)).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 149933462 to the nearest integer?\nAnswer: 531","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -86 + -22 + (6 - -12) + -1 + -5.\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(7\/4)*a**(-3\/2))\/(a\/(a\/((a\/a**(2\/5))\/a)))**(-10\/17) assuming a is positive.\nAnswer: a**(1\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 239*s + 24. Let w(l) = 2*l - 4. Calculate m(i) + 7*w(i).\nAnswer: 253*i - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 513 and 178266636?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77044 divided by -2.\nAnswer: -38522","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 3*q + 4 = -2, 6 = -4*b - 3*q. Suppose w + 3*d = b, 2*w - d + 3*d - 4 = 0. Solve -3*k - n = k, w*n = -5*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + -2. Suppose -5*m = 5, -2*m - 96 = 5*z - 379. Suppose 62*r = z*r + 25. Solve -5*y + r = 2*h + 2, 5*y + 3*h = j for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 2*p + 20, -3*z + 41*p + 12 = 38*p. Let a(t) be the third derivative of 0 - 1\/24*t**z - 5\/3*t**3 - 26*t**2 + 0*t. What is a(-13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3 + (-15)\/(-6))\/(430\/(-516)). Let g = -2\/87 + -79\/348. Which is the closest to 0.2? (a) g (b) d (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12abc (base 15) to base 11\nAnswer: 40a26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s - 2. Determine y(-11).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 - (18\/60)\/(2\/(-4)). Put p, -5, 3 in decreasing order.\nAnswer: 3, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/4811 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13815451.\nAnswer: 13, 19, 55933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40)\/(-7) + (-62 - -56).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2475654*d + 2008995 wrt d?\nAnswer: -2475654","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 36505126?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*((x\/(x*x**(-26)*x*x))\/x)\/x*x**(13\/6))**(-1\/3) assuming x is positive.\nAnswer: x**(-151\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**3 - 12*z**2 - 952*z.\nAnswer: 4*z*(z - 17)*(z + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 6, 21, 68, 165, 330, 581?\n\"Answer: 3*r**3 - 2*r**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 19565 + -1?\nAnswer: 19564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*s**3 + 15*s**2 - 105*s + 2.\nAnswer: -12*s + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -39 - 2*k**3 - 55 - 10 - 157*k + 0 with respect to k.\nAnswer: -6*k**2 - 157","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.43 - -1.6. Let g = u - 0.07. Which is bigger: g or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.1 * 366573\nAnswer: 769803.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/13*(-80314)\/(-18534)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 2*n**3\/7 - 24*n**2\/7 + 6*n - 20\/7 = 0.\nAnswer: 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of -7\/6*m**4 + 0*m**2 + 0 + 0*m**3 - 187*m. Let r(d) = 15*d**2. Determine x(r(y)).\nAnswer: -3150*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00516322316 rounded to seven dps?\nAnswer: 0.0051632","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -31.32 - -30.92. Let m = 8 + -7.6. Which is the smallest value? (a) m (b) x (c) 2 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*n = -5*n + 40. Sort 0, -0.39, n in ascending order.\nAnswer: n, -0.39, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4359 = 16*s - 2681. Which is bigger: 439 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -2*x - 6. Let y be h(-5). Let k be 219\/292*8 + 0 + (-16)\/3. Which is the closest to -0.4? (a) k (b) y (c) -0.5 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.007209058576 to 4 dps.\nAnswer: -0.0072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/44 and 85\/1832?\nAnswer: 20152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 PM and 5:17 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 274*b. Let k(w) = -49044*w. Give -3*k(i) - 536*s(i).\nAnswer: 268*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -4*a**2 - 3*a + 3. Let p be r(-3). Let i be p\/(-30)*10\/4. Suppose -f = i*f - 15. Solve -10 = -3*t - 1, -4*q - 5*t - f = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 632?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 518 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -20334 + -5?\nAnswer: -20339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-267)\/(-3115)*20\/(-30)?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -5. Let l = 4091 + -4094. Let j(v) = -v**3 + 4*v**2 - v - 4. Let o be j(3). Put h, l, o in decreasing order.\nAnswer: h, o, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*g**3 - 1633415298*g**2 + 74112376537261452*g - 49408250298878616.\nAnswer: 3*(g - 90745294)**2*(3*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * -0.235591\nAnswer: 0.0471182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 43*t. Let c be g(4). Suppose c = 5*s + 52. Is s a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of -o**6\/120 - o**4\/24 - 2*o**2. Let g be c(0). Suppose g = -4*y - 58 + 246. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.23 + -0.67. Let a = -20.9 - w. Let m = a - -15.3. Round m to zero dps.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 70*h**2 - 67*h**2 - 693*h**2 + (-5*h - 1 + 1)*(h - 4 + 4) to the form r + x*h**2 + p*h and give x.\nAnswer: -695","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) -2\/11 (c) 3 (d) -1\/3 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -98 + 185?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 + 4*r**2 - 3*r. Let w be k(3). Let f(t) be the third derivative of -1\/30*t**5 + 0*t + 0 + w*t**3 + 1\/6*t**4 - 3*t**2. Factor f(h).\nAnswer: -2*h*(h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14\/5*k**2 + 0 + 0*k - 2\/5*k**5 + 18\/5*k**4 - 6*k**3 = 0. Calculate k.\nAnswer: 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6807 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-42 - -44)\/(2\/34). Suppose k*q - 1461 = -d + 30*q, -q + 4383 = 3*d. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 55*b + 3 - 33*b.\nAnswer: -88*b + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*q - 53730 + 53730.\nAnswer: -17*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*r - 2*c - 1293 + 1209, 5*r - c = 565 - 466 for r.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/6 in 1, 4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(125))**2 + sqrt(5) + (sqrt(45)\/(sqrt(9)*-2))**2.\nAnswer: sqrt(5) + 493\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 27*16\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of 39\/20*z**5 + 1\/4*z**6 - 7*z**2 + 1 - z**4 - 8*z**3 + 0*z - 5\/14*z**7. Determine s so that i(s) = 0.\nAnswer: -4\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21672 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 311 + -202. Let u = 1275.2302733 - 1166.230279. Let i = y - u. Round i to 6 decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*4\/(-72)*8\/10.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = o - 6*c - 13, 11 = 5*o + 3*c. What is the greatest common factor of o and 212?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 - 6*s + 5. Let o be ((-15)\/(-3) - -3)*(-11)\/(-44). Let y(b) = -36 + b + 0*b - o*b + 37. What is -p(t) + 6*y(t)?\nAnswer: -t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 579 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/52)\/((-1)\/(-4))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176)\/(sqrt(11) + sqrt(176)) + (sqrt(144)*-2)\/sqrt(9))\/(-2*sqrt(392)*-1).\nAnswer: -9*sqrt(2)\/70","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -847*b = -921*b - 536 - 1758 for b.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5 and 3395?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -75, -73, -69, -63, -55?\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19847\/16 + 1239. Find the common denominator of o and (2*(-3)\/(-32))\/((-3)\/77).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -169 - -182. Solve 3*o + l = -n + o, -2*n = -3*o - 2 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-3\/4)\/(x\/(x\/(x\/(x*x\/x**(-1\/4))))))\/(((x**6*x)\/x)\/x*x\/(x**(-1\/38)\/x)) assuming x is positive.\nAnswer: x**(-124\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 2*m - 2*q + 26 = 0, 0 = 4*m + 5*q - 35. Suppose -2 = -m*n + 2*s, -3*s - 26 = -3*n - 8*s. Suppose -4*t + n = -3*t. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -6*q + 5. Suppose -3*i + 19 = -4*u, -5*i - 17 = 4*u - 6*i. Let w(g) = 7*g - 6. Calculate u*w(y) - 5*h(y).\nAnswer: 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b - 0*b - 4*i + 60, 5*i = 3*b - 53. Let s be 359\/4 - 2\/(-8). Let u = 96 - s. Calculate the lowest common multiple of u and b.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (5 + 20\/(-5))*16. Let d = -42 + c. Let y = d + 37. Solve 0 = u + y - 10 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18221434, -18221416, -18221398, -18221380, -18221362, -18221344?\nAnswer: -18221326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87*u + 57*u - 80*u - 18*u.\nAnswer: -128*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4372 + -8743\/2. Let b(m) = m**2 - 8*m + 5. Let g be b(8). What is the third biggest value in g, 18, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.048 and 0.3.\nAnswer: -0.0144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17.7 - -13. Let q = v - -5. Let n be ((-1)\/(-2))\/(2\/3). Which is the nearest to 0? (a) 0.1 (b) n (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14*g*r**2 - 92*g*r wrt r.\nAnswer: 28*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 3*w. Let l(x) = 125*x**2 - 20*x - 20. Let f be (-11 + 1)\/((-3)\/6). Let a(p) = 18*p**2 - 3*p - 3. Let j(h) = f*a(h) - 3*l(h). What is t(j(k))?\nAnswer: -45*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -107 + 537\/5. What is the second biggest value in -1\/2, i, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u**2 + 590*u + 17405 = 0.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -36 + 207 + -79 + -90?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1295575 and 125?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6422*b**2 + 4068*b + 1 wrt b?\nAnswer: 12844","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -365*m**3*u**4 - 2*m**3*u - 22*m**3 + m**2 + 26*m wrt u.\nAnswer: -1460*m**3*u**3 - 2*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 70\/7 - (-4 + 1). Suppose -9*k = -n*k + 880. Calculate the greatest common factor of 20 and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-20)\/(-5 - -9) + 2 + -400. Let l = -401 - y. Solve -l*p = -10*p + 16 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -3*f + 61. Calculate n(19).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -20 + 2*f**2 + f - 1492*f**3 + 1494*f**3 - f in the form k*f + u*f**2 + w + n*f**3 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 64 = -5*x, 5*o - 6*o + 3*x + 28 = 0. What is the remainder when ((-72)\/10)\/((-1)\/5) is divided by o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*n**2 - 6*n**2 + 2*n**2)*(-2*n**3 - 55*n + 55*n + 13).\nAnswer: -2*n**5 + 13*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: a2b8d6 (base 15) to base 3\nAnswer: 112112221020010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/(z*z**(2\/11))*z)\/z)\/z)\/(z**6*z)*(z**(1\/4))**(2\/3) assuming z is positive.\nAnswer: z**(-529\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (45\/(-10))\/(36\/(-8))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -10 - (-3 + (19 - 5) + -7).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uouuouoouvouoo. Give prob of sequence uuou.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22 + 50. Let v be 1\/(8\/6) - 105\/t. Let s(a) = -17*a + 6. Is s(v) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 - 8*r**2 - 11*r + 21. Let g be k(9). Let u be 7\/2 + g\/(-2). List the prime factors of 1 - (-3 - u) - -1.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/13, -0.1, 3, -4, 106?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 3 - 1)*(-852*b - 172920 + 172920) as w + k*b and give k.\nAnswer: -852","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let q = -13\/41 + -360\/287. Suppose -47 = 10*f - 27. Is f < q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 131475 is divided by 40.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 52\/10 + 18\/(-90). Let u(x) = g + 11 + 11*x**2 + 13 - 40 - 3*x. List the prime factors of u(4).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -29 (base 11) to base 16.\nAnswer: -1f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 41?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -81 - -180. Let i(t) = -14*t - 37. Let l be i(-5). Suppose 5*m - 5 - 6 = -c, -3*m = 3*c - l. Calculate the highest common factor of q and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -5*j + 18, 5*j + 4 = 4*n + 31. Let c(o) = o + 5. Let s be c(n). Let d be (s\/5)\/((-1)\/5). Which is smaller: d or 0?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -1033, -81\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 - 99*f - 1777. Let z be m(-24). Solve 4*c + 3 - z = -h, -h = -c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -232.9697 + -0.0303. Let p = r - -233.00000754. Round p to six decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 735, 740, 753, 774?\nAnswer: 803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 + 7*h**2 - 21*h - 81. What is the remainder when 165 is divided by b(-7)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16737363 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) 2\/5 (c) 7 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*z**4 - 2*z**4 - 3*z**4 + (-2*z + 3*z + z)*(z - 2*z**3 - z) - 4*z**4 + 3*z**4 + 3*z**4)*(-5*z + 3 - 3).\nAnswer: 5*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 174\/((0 - 0) + 2). Let u be ((-194)\/(-14))\/((-1)\/o). Let r = -1213 - u. What is the common denominator of -49 and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/4248 and 157\/219480.\nAnswer: 658440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i**3 - 29*i**2 - 12*i + 33. Calculate x(-14).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and 9378?\nAnswer: -37512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8 or 140?\nAnswer: 140","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3003, 2997, 2989, 2979, 2967, 2953?\nAnswer: 2937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -584152.\nAnswer: 1\/584152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 650.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xuuupup. Give prob of picking 1 p and 3 u.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 - 13. Suppose 0 = m - y - 4. Solve 4*c + 4*f = 2*c - 22, f = -m*c - 19 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 9, 5, -1\/3, -1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -24194 - -24192.5147. What is k rounded to 2 dps?\nAnswer: -1.49","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 155 by 12.\nAnswer: 155\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2*o - 7. Give y(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-6)\/3)\/((-6)\/15). Suppose 6 = p*m - 9. Solve -n - m + 2 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 43422754?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*s - 3. Suppose 4*l = -4*n - 8, s*n - 4*l = -0*n + 16. Suppose 3*y = -0*y + 9. What is the least common multiple of n and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = 5*i - 12, 2*i + 2045*p - 12 = 2048*p for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -268*q**3 + 14*q**2 - 14*q + 925. Let n(a) = -89*a**3 + 4*a**2 - 4*a + 309. Let d(p) = 21*n(p) - 6*v(p). What is the first derivative of d(t) wrt t?\nAnswer: -783*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 207 divide 2670067?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12887897*r*t - 58*r - 5*t + 189322 wrt t.\nAnswer: -12887897*r - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*d**2 + 302180*d + 4231500 = 0. What is d?\nAnswer: -14, 60450","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 284 divided by -4?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -12*o + 25*o - 14*o. Let p(w) be the first derivative of -8*w**3\/3 - 2. Give p(q(y)).\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 0*x - 3*x = -117, 0 = 2*z - 5*x - 93. Calculate the highest common factor of z and 1107.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + w + w + 5 - 5*w**2 - 3 as v + d*w**2 + o*w and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -2*v - 3. Let d be l(-6). Let a = d + -7. Find the third derivative of 0 - 3*g**4 + 0 - g**a - 2*g**2 wrt g.\nAnswer: -72*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 847 + -491. Let z = g - 110. Calculate the remainder when z is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24b1498 (base 13) to base 8\nAnswer: 53546727","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 3*t**3 + 8*t**2 + 22*t - 8. Suppose -4*b + 37 = -5*k, 5*k + 23 = k + b. Let c(v) = -2*v**3 - 5*v**2 - 15*v + 5. Calculate k*o(r) - 8*c(r).\nAnswer: r**3 + 10*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/100 and 61\/20?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 - 7 + 2 - 25 - 4*u. Let l be v(-4). Is 40 a factor of l\/(4\/239) + 9\/18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20670705 and 250554.\nAnswer: 41341410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -561*h + 3*x + 4 = -559*h, 6*h - 4*x - 12 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 7, d: 4, g: 5, r: 3}. Give prob of sequence dx.\nAnswer: 14\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1093069?\nAnswer: 1093069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-5062)\/4)\/(74\/(-240)). Let u = b - 4104. What is the common denominator of -47\/9 and u?\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 50.4 - 43. Let q = 7.39426 - y. Round q to 4 dps.\nAnswer: -0.0057","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-5 - (4 - (-1 + 10))) + -1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 42 (base 6) to base 13\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4625\/9 - -1549\/3. Suppose 285*n - 138*n = 116*n + 62. Which is smaller: p or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-18)\/(-30))\/1*5. Suppose 33 = -2*i - 5*w, -3*i - 27 = 6*w - u*w. Does -4 = i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -18*i - 1. Let u(r) = -343*r - 21. Give -4*u(v) + 77*w(v).\nAnswer: -14*v + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123 is divided by 26?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 53, -162953, 2 in decreasing order.\nAnswer: 53, 2, -7, -162953","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1509*m**3 - 1894*m**2?\nAnswer: 9054","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(-12)*4 + 12. Solve 5*u = l - 0*l - 7, -3*u + 5*l = f for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c = -c - 10. Let y = 6 - 2. Calculate the lowest common multiple of c and -2*6\/y - -8.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7576 + -1671. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (24\/135)\/(2\/5)\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 13) in base 16?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4637740 is divided by 526.\nAnswer: 524","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -232\/7 - -4422\/133. Suppose -l + 29 = 2*l + 4*i, 4*i - 26 = -2*l. Suppose -j + l*n - 1 + 7 = 0, -6 = j + 3*n. Are y and j unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -14686.4 to the nearest one thousand.\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -0.5 (b) 0.2 (c) 4 (d) -7\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 4039014?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) -2\/3 (c) 5 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2039.8 - -2043.8. Which is the closest to -1? (a) -4\/5 (b) s (c) -2.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2.59 or -3?\nAnswer: -2.59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*r - 53 = -10*r - 3*x, -3*r - 5*x - 25 = 0 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*p - 2 + 2 + (-4 + 3 + 3)*(0*p + 0*p - 2*p) - 2*p + 4*p - 4*p to the form c*p + j and give c.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2 + 10*y + 27. Calculate f(6).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + -2641478?\nAnswer: -2641482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(1216))*5)**2.\nAnswer: -400*sqrt(19) + 30425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 9:14 AM?\nAnswer: 8:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/(-16) + (20 - (-2133)\/(-99))\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(2057)*2 - 1*1*sqrt(2057))**2 - 1*(sqrt(612)*2)**2*-2.\nAnswer: 110*sqrt(17) + 6978","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-149 + 297 - 181)*(0 - 5 + 4)*(-a**2 + 1 - 1) + 3*a**2 + 5*a**2 - 6*a**2 to v + y*a**2 + u*a and give y.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1589.31 years in months?\nAnswer: 19071.72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o**4 - 152*o**3 - 660*o**2 - 504*o = 0 for o.\nAnswer: -3, -1, 0, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/50 of a gram?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82187 = -3438*u + 856*u + 437 for u.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -29a01 (base 13) to base 7\nAnswer: -445054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 4*x = -144, v + 0*v = -x + 46. Let t = 61 - v. Calculate the greatest common divisor of t and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2733*a**4 + a**3 + 6361?\nAnswer: -10932*a**3 + 3*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 888554 - 3951614 = -195*n. What is the tens digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (2 - 0) - -3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11100000 + -1000110?\nAnswer: -100100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -18*d + 10. Let v(z) = z. Let g(f) = o(f) - 4*v(f). Differentiate g(q) wrt q.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3482233448 to the power of 1\/2, to the nearest integer?\nAnswer: 59010","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -87757 - -10601.\nAnswer: -77156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2 - 4)*(-223*j + 424*j - 232*j) + 1 - 21*j + 37*j - 26*j to the form h + o*j and give o.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0, 5.85, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) 49 (b) -0.1 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 9) to base 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f - 3. Let r be s(5). Let k be 1 + 0\/(0 + r). Is k < 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 14) to base 4.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 8, f: 7, k: 5}. Give prob of picking 1 f and 1 k.\nAnswer: 7\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = w - 3*f, 97 + 34 = 5*w - f. Does 4 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 + 27*x**2 - 57*x + 55. Determine r(-28).\nAnswer: 867","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 614931, 615052, 615225, 615426, 615631, 615816, 615957?\nAnswer: 616030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-118)\/295)\/(2\/15). Put n, -4, -117, 4 in descending order.\nAnswer: 4, n, -4, -117","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 853067.\nAnswer: 683, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7513 - 5884 = -181*a for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r**3)**5)**(-26\/7))**(-23))**38 assuming r is positive.\nAnswer: r**(340860\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6690\/7 - 60700\/63. Calculate the common denominator of a and 7048\/648 - 70\/7.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102101201 (base 3) to base 16.\nAnswer: -2074","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4754 - 4753.999996066. Round y to seven dps.\nAnswer: 0.0000039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c be -4 - ((-6)\/(-9))\/(-2)*33. Suppose -1008 = -c*u - 11*u. Calculate the highest common factor of 42 and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 18*b - 2. Let s(i) = 6*i + 9 + 0 - 6 - 4. Determine 3*m(o) - 8*s(o).\nAnswer: 6*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h - 2*h - 2 = 2*g, 4 = g. Solve 0 = -2*r - 2*r + 5*q + 12, -4*r + h*q + 12 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1, 1\/6, 4, -1\/8, -16, 0.01, 0.04?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a litre in millilitres?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i**3 + 2*i**2 - 3. Let r = -94 - -62. Let v = -35 - r. Let f(t) = 3*t**3 + 4*t**2 - 5. Let k(s) = v*f(s) + 5*m(s). Factor k(g).\nAnswer: g**2*(g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 4:27 PM?\nAnswer: 12:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10111*o + 1353*o - 10801*o + 2767*o + 1008*o.\nAnswer: -15784*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 - 44*f**2 - 37*f - 307. What is the remainder when 254 is divided by u(45)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/18)\/(-2 + 22\/12).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1 (b) -4 (c) -6110\/11 (d) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 332 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.6, 1\/4, -251.79 in ascending order.\nAnswer: -251.79, 1\/4, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -139739 and -0.2.\nAnswer: 27947.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 PM and 1:57 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 PM and 10:34 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21 - 23) + -1 + -2 + (6 - 3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (6 - (0 - 0)) + -13 - -1\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 16) to base 15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/5 (b) 1.3 (c) 3 (d) 1\/4 (e) 8 (f) -2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 348 = -p. Let k = -60 - p. What is the closest to 2 in -5, k, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 5:01 PM?\nAnswer: 7:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 8 = 0, q - t + 4 = -6*t. Let p = q - 3. Suppose 0 = -5*h - p*m - 0*m + 32, m + 1 = 0. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 28, 3558, 9444, 17686?\n\"Answer: 1178*h**2 - 4*h - 1146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.6, -3\/5, 1\/4314, 3.72?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + 2*g - 414, 3*q + 0*q = 5*g + 304. Let h = -84 + q. Is h even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(14\/(-5 - 2))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -4 - 3*c**3 + 5*c - 4*c**3 - 1 + 6*c**3. Let q(r) = -3*r. Let f be q(-1). Let b(m) = f - m + 2 + 1 - 5. Calculate -2*a(n) - 10*b(n).\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 687, 113, -1, 39 in increasing order.\nAnswer: -1, 39, 113, 687","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 44641 and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1086, -2, 0 in ascending order.\nAnswer: -1086, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c**4 - 3*c**4 + 3*c + 0*c**4)*(c - 2*c - c).\nAnswer: 2*c**5 - 6*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*d + 2*w + 30, -6*w - 248 = -4*d - 120 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -297954 or -298066?\nAnswer: -298066","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-6) + 16\/12. Let l(h) = 2*h**2 + 2*h - 1. Let p be l(i). Let d be (p - 8\/3)*21. What is the greatest common factor of d and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10216159231 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17173 + 50635 + 18818 = -1510*h - 20200 for h.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the second derivative of q**4\/12 - 85*q**2\/2 - 53*q. Let x(b) = -b**2. What is p(x(o))?\nAnswer: o**4 - 85","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1628 - -1634. Calculate the remainder when 344 is divided by n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 1815 = 2*n, 9*j - n = 5*j + 2415. List the prime factors of j.\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/(-2))\/(3\/6). What is the third derivative of -f**6 - r + 1 + f**2 - 2*f**6 wrt f?\nAnswer: -360*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6955 - -7495. Calculate the lowest common multiple of d and 132.\nAnswer: 5940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 55 (b) -45 (c) 1\/2 (d) 0 (e) -1.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + 352?\nAnswer: 349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -2*v**3 + v**2 - 3*v + 25. Let n be g(0). What is the greatest common divisor of n and 125?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 - 17*s - 39. Let c(g) = 1. Let k(l) = 4*c(l) - d(l). What is the remainder when 23 is divided by k(19)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 - 32*z**2 - 61*z - 97. Calculate i(-31).\nAnswer: 833","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 + 87*g + 341. What is p(-83)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in -1, -0.01, 18?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 + 6*c**2 - 4*c + 3. Determine r(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xffxb. What is prob of picking 2 x and 1 b?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) 4 (b) -1 (c) -4 (d) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-4) - (-228)\/16. What is the greatest common divisor of 126 and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 387608386 and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 97 + -140.8. Let o = u - -44. What is the smallest value in 4, -3, o?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 133*g + 5 = 132*g. Let a(y) = y**3 + 4*y**2 - 3*y. Let f be a(g). Which is greater: -11 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11270702, 11270701, 11270700, 11270699, 11270698, 11270697?\nAnswer: 11270696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 119196454?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the first derivative of -5*c**3\/3 - 5010*c**2 - 10015*c - 3561. Determine k, given that w(k) = 0.\nAnswer: -2003, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (-15 - (-2 - 2)) + 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 118\/15 in -2, -0.1, -164939?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7\/134 - 1499\/804. Let x be (18\/(-20))\/(2\/42561). Let y = x + 19147. Find the common denominator of y and f.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkk when three letters picked without replacement from kkbkkbkkkkkbkkkk?\nAnswer: 143\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.0646 rounded to 0 dps?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i**3 + 2 - 22 + 20 + 2*i**3.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((-1 + sqrt(117) + 5)**2 - (-4 + (1*sqrt(117))**2)) + (sqrt(234)\/(sqrt(9)*2))\/(sqrt(242) - (sqrt(242) - -2*sqrt(242)))*5.\nAnswer: 16 + 1051*sqrt(13)\/44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 53 and (-21)\/(-7) + (-8)\/(-2) - (-608)\/4?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 5*b**2 + 1. Let o be y(-1). Suppose -h + o = -0*h. Let r(u) = u**3 - 6*u**2 + 3*u + 3. Does 11 divide r(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, 0.3, 2, -1, 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 560357521?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 166 is divided by 52?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1006 + 15562138094241*l + 1006 - 15562138094239*l.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, d: 2, j: 1, q: 2, b: 11}. What is prob of picking 2 q and 1 j?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 AM and 10:36 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/21876 and 43\/20053?\nAnswer: 240636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, c: 4, u: 6, p: 4, i: 1, x: 3}. What is prob of sequence ulc?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.03 - -7.03. Let t = 5 - q. Which is the third smallest value? (a) 0.3 (b) 2\/5 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1b3336b (base 12) to base 3\nAnswer: -101220012211002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + 5*u, 5*q + 0*q + 4*u = -2. Let r be -1*q\/8 + -1. Which is the second smallest value? (a) -5 (b) r (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3652?\nAnswer: 2, 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (3588\/(-276) + (-206)\/(-12))*(-3)\/(-35)?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xwafwglflflg. Give prob of picking 3 f and 1 l.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 219*z**2 + 2. Let l(t) = 9*t - 2137. Give l(c(s)).\nAnswer: 1971*s**2 - 2119","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1551124.\nAnswer: 2, 387781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03356929 rounded to 4 dps?\nAnswer: 0.0336","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6464538937 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from swesieisw. Give prob of picking 2 i.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122*a + 206*a - 92 = -596 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 62*p**2 + 47*p + 661. What is the units digit of y(-17)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, i: 2, d: 1, t: 2, c: 1}. What is prob of sequence ac?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 3*t**5 - 35001*t**4 + 4327815*t**3\/4 + 2260170*t**2 + 5724813*t\/4 + 287991 = 0.\nAnswer: -1, -1\/2, 33, 11636","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6049919.\nAnswer: 41, 59, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -734553 divided by 153.\nAnswer: -4801","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 32*g + 2456. Determine r(-76).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*c = -128 + 161. Solve -c*w - 32 = 5*g, 2*w - 5*w - 3*g = 24 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f + 3*f - 3*f)*(-f**3 + f - f) + (-f**2 + f**2 + f**2)*(-10*f - 6*f**2 + 10*f).\nAnswer: -8*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - 8. Let j be (r\/2)\/(6\/(-16)). Solve 3*g = j*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -1380*p - 15172. Calculate l(-11).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + 2*v - 16. Let b be (-88)\/154 - 6\/14. Is 0 + 914 - (v + b) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 5:40 AM?\nAnswer: 2:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14\/15 + -296\/285. Let d(v) be the first derivative of v**3\/3 + 7*v**2\/2 + v - 1. Let j be d(-6). What is the second biggest value in f, j, 0.4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.3881255 nanograms?\nAnswer: 0.0000000003881255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -268281 smaller than -268281?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, l: 7}. Give prob of picking 1 l and 1 c.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 - 2*v - 1. Suppose 0 = -b + 4*b + 3. Let g be x(b). Suppose o - 7 = 3*s, -o = 5*s - 0*o + 25. Put s, g, 5 in increasing order.\nAnswer: s, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 10*m**2 - 12*m - 183. Is x(-11) a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4840482?\nAnswer: 2, 3, 67, 12041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1 + -0.1. Let b = 25 + -24.5. What is the closest to 0 in -3\/2, t, b?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -1115*f - 869705. Give k(-780).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19 + -15. Suppose -3*l = -j*m + 41, -18 - 30 = -4*m - 4*l. Let n = m - -19. What are the prime factors of n?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -10*y - 2. Let z be f(3). Let r = 32 + z. Suppose -i + 0*o = 3*o + 1, -2*i - 5 = 3*o. Put i, -3, r in increasing order.\nAnswer: i, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2 + 0. Let k = 148 + -145. Which is the nearest to 0? (a) k (b) 2 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*k**2 + 0*k**3 + 0*k**3 - k**3 + 10*k**2.\nAnswer: -k**3 + 15*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vobbvopvbvovp. Give prob of picking 2 p.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 6857839?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*h - 0. Let w = 0 + -1\/3. Let j = -1 + 1. Which is the closest to w? (a) h (b) 5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 21*g + 18. Let o(z) = 2*z**3 + 2*z**2 - 111*z + 13. Let p be o(-8). Calculate i(p).\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -38*p**2 + 23. Let w(a) = 15*a**2 - 9. Let x(t) = -5*j(t) - 13*w(t). Let m(n) = -4*n. Determine m(x(k)).\nAnswer: 20*k**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqvvqqqqbiivqi. What is prob of picking 1 v and 1 q?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 221209 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ancn when four letters picked without replacement from {w: 1, a: 2, n: 2, c: 1}.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*u - b - 20, u + 2*b = 557 - 283 - 281 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 54659495 to the nearest integer?\nAnswer: 380","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -5*p + 4, 2*p = 6*p + z - 11. Suppose p*k = -5*u + 14, 4*u = -k - 1 + 11. Suppose c - u*w - 6 = 2, 3 = -3*c - 3*w. Solve c*v + 16 = -2*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-138)\/184)\/((2\/8)\/(-1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/210)\/((-14)\/49).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j - 13. Let a be w(-16). Suppose -h = 3*v + v - 20, 0 = 4*h - v + 5. Suppose 3 = g - 3. Solve h = a*y - 6 - g for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of -z**3\/6 - 3*z**2. Let o(m) = 2*m - 2. Let i(r) = -4*f(r) + o(r). Calculate i(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1246 is divided by 160?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are 18220 and 18220 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10305 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -488 + 1476. Is b a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10.403 + -18.69. What is j rounded to 1 dp?\nAnswer: -8.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - q)*(-19*q**2 + 9*q**2 - 14*q**2 + (3 - 2 - 2)*(3*q**2 - 3 + 3)).\nAnswer: 27*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -371*u**3 + 74*u - 4. Let g(i) = -2*i + 2. Let q(o) = c(o) + 4*g(o). Find the second derivative of q(y) wrt y.\nAnswer: -2226*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -228533 (base 9) to base 8\nAnswer: -414417","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -854 + 1?\nAnswer: -853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 135 = 3*q. Let w = q - 10. What is the highest common factor of 119 and w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 68\/93 and 61\/2341833.\nAnswer: 2341833","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 22450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together 45 and 1045.\nAnswer: 1090","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 406*y - 807*y - 72 = -389*y for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2341.\nAnswer: 2341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a decade in years?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - -4. Let g = -10 - -13. Suppose -g*s - 5*d - 7 = -s, -4*d = -5*s - 1. Which is greater: s or z?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.687 rounded to zero dps?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of -p**4\/3 + 62*p**3\/3 - 116*p**2 + 400*p - 4. Factor r(q).\nAnswer: -4*(q - 29)*(q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 447.4 + -27.1768.\nAnswer: 420.2232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 35294382?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1020 (base 4) in base 10?\nAnswer: -72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/(-1))\/(12\/(-6))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (2 - (-10 + 0)) + (883 - 883) + -21?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -561, 5, 13, 4, 3, 0 in descending order.\nAnswer: 13, 5, 4, 3, 0, -561","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of a**2 + 0 - 1\/2*a**3 + 0*a - 1\/6*a**4. Let n(m) = -5*m - 4. Determine 4*g(c) - 3*n(c).\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 522270496.\nAnswer: 2, 11, 599, 2477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 107095145?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -3*sqrt(2736)*-3 + -3*(sqrt(2736) + -1)**2.\nAnswer: -8208 + 180*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -125 and -883.5.\nAnswer: -1008.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1873164.\nAnswer: 2, 3, 139, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**2 - 2*y**2 + y**2)*(4 + 17 - 1).\nAnswer: 20*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 596*w - 867. What is the units digit of a(26)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36 and 27594?\nAnswer: 55188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 458356.1 meters in kilometers?\nAnswer: 458.3561","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 6:15 PM?\nAnswer: 11:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4384210*y**4 + 6643936*y**2.\nAnswer: -105221040*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - 1031113223123?\nAnswer: -1031113223113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -0.14, -0.2, -5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -386 - -385.998808. What is k rounded to 4 decimal places?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 1 = 0, 0*s = -s + 4*w + 7. Let c = s - -10. What is the least common multiple of 3 and c?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18370?\nAnswer: 2, 5, 11, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/9 in 0.01, -1\/6, -2, -1.4?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.14 - -0.14. Sort -5, o, 0.3 in descending order.\nAnswer: 0.3, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 929.\nAnswer: 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*j**2 + 14*j**2 + 24*j**4 - 2*j**4 + 0 + 0 + (-3*j**3 - 7*j**3 + 3*j**3)*(j - 2*j + 2*j).\nAnswer: 15*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**2)\/q)\/q*q**(1\/2)*(q\/(q**(3\/2)\/q)*q)\/q**(-7) assuming q is positive.\nAnswer: q**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1082*b**2 + 2115*b**2 - 1056*b**2 - 12 + 12.\nAnswer: -23*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(5) + -5)*-6.\nAnswer: 30 + 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 29\/51 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -159508 divided by -3\nAnswer: 159508\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*q**2 + 2 - 30*q**4 + 0*q**2 - 5*q**2 - 18*q**3 + 32*q**4 as z*q + p*q**3 + v + j*q**4 + u*q**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 PM and 2:08 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.3 (b) -3 (c) 0.1 (d) -2\/7 (e) 37 (f) -6.5582\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of 0*q**2 + 0*q**4 + 8 + 2\/3*q**3 - 1\/2*q**6 + 0*q**5 + 0*q. What is the third derivative of v(a) wrt a?\nAnswer: -180*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1708, -3, 4, -7, 0, 5 in increasing order.\nAnswer: -7, -3, 0, 4, 5, 1708","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 1088?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5500 and 88.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -12\/13, 1848, -2.27?\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/1181 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, e: 2, r: 1, z: 1, w: 1}. Give prob of picking 2 e and 2 d.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -75675935*k**4 - 126163721 with respect to k.\nAnswer: -302703740*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 + 18. Let r = 17 - a. Let s = r + -8.5. What is the closest to 0.1 in 0.4, 2, s?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of 59*c**3\/6 + 345*c**2\/2 - 429*c. Give q(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20414 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 317677050?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 3*q = 15, -2*t + q + 2*q - 15 = 0. Which is the closest to t? (a) 2\/3 (b) 2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -50 (base 7) to base 9\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 96, -4, 184 in decreasing order.\nAnswer: 184, 96, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/41426 and 115\/3024098.\nAnswer: 3024098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*o - 32*o = 5*d - 31342, 0 = -5*d - 4*o + 31333. Is 43 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9005.581 + 9053.581067. Let d = 48 - w. What is d rounded to 5 decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q**2 + 7*q - 7*q)*(-52*q**2 - 4*q**2 - 22*q**2).\nAnswer: -312*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*x - 4*x + 0*x - 7*x**2 as l*x**2 + t*x + s and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -2.3 bigger than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 PM and 4:12 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 357\/4 smaller than 88?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 78.6 - 159. Let d = -80.4002996 - a. What is d rounded to 5 dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -2*v. Let i be o(-2). Suppose -7*q + 20 = -2*q. Let r = i + q. Is r at most 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3754, 15799, 35900, 64057, 100270, 144539?\n\"Answer: 4028*s**2 - 39*s - 235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 106 + 89 = 0. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1 (b) 4 (c) 5 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 + (-69)\/(-9))*(-15 - 0). What are the prime factors of ((-9165)\/s)\/(1\/8)?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -2*m**2 + 182348*m - 4739696 = 0.\nAnswer: 26, 91148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -9*c**3 + 13*c**2 - 13. Let s be (12\/5)\/(2\/5). Let b(a) = -4*a**3 + 6*a**2 - 6. Give s*u(w) - 13*b(w).\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of n**5\/60 + n**4\/24 - n**3\/6 + 2*n**2 - 21*n. Give i(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -4*t - 2. Let w be ((-7)\/21)\/((-1)\/(-3)). Let q be g(w). What is o in 17*o**2 - 2 + 2 - 15*o**2 - q = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 35 + 8)*(-11 + 6 - 10)*(3*z**4 + 3*z**4 - 5*z**4) in the form h*z**3 + o*z + c*z**2 + j + u*z**4 and give u.\nAnswer: 390","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -88, -5, 5, -83, -1, -2 in descending order.\nAnswer: 5, -1, -2, -5, -83, -88","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: 3340332131 (base 5) to base 8\nAnswer: 34035633","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0081 - 0.217007.\nAnswer: -0.225107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jsd when three letters picked without replacement from {d: 1, s: 1, j: 1, m: 2}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14511 + -14513. Let a(s) be the second derivative of -s**5\/20 - s**4\/6 + s**2\/2 - s. What is a(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 AM and 3:13 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 9 = 5*n - 7*n, 5*m - 5*n - 30 = 0. Let o be (-650)\/(-39) - m\/(-3). Solve 0*h + o = -h - 5*u, -3*u = -2*h + 18 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.8*7064.\nAnswer: -5651.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -78*b**2 + 778*b - 784*b - 11*b**4 + 1 + 9*b**4 in the form i*b**4 + a*b**3 + f*b**2 + m*b + n and give m.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 40118920 to the power of 1\/2, to the nearest integer?\nAnswer: 6334","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83*x + 445 - 445 + 72*x - 4*x**2.\nAnswer: -4*x**2 - 11*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, -3567, 0 in decreasing order.\nAnswer: 4, 0, -3, -3567","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 55 + -9 + -141 + 117?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1522576417 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -2*v**3 + 9*v**2 - 8*v + 7. Let j be z(3). Let y(h) = -881*h + 882*h - j + 4. Determine y(9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1159 + -764. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1287\/2145)\/(6\/(-80)) - 6.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6 + -9)\/3 - -8. Solve -28*i - 126 = -j*i for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 37 (b) -2 (c) 0.11 (d) -119\/4 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-11)\/13 + 14\/(-91))\/1. Let i be ((k - -1) + 1)*-1. Let c be i + -2 + 209\/99. What is the third biggest value in -0.4, c, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -3*v + 4*h + 4, -h = 4*v - 36. Let f(x) = -3*x**2 + 3 + 4*x**2 - v + 8*x. Is f(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of 11*x**4\/6 + x**3\/3 + x**2\/2 + 260*x + 11. Let y(p) = -110*p**2 - 11*p - 5. Give -11*h(v) - 2*y(v).\nAnswer: -22*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 12*a + 16 = -8*a, 0 = w + 2*a + 4 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 204 divide 529788?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8437 and 46628231?\nAnswer: 767","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -227, -0.5, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17)\/85 + -3 + (-69)\/(-20)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/21 - 716\/(-7). Suppose 5*q - j = 148. Let r be 2 + (-3 - -6) + 0. What is the highest common factor of r and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*t - 92345 = 748*t + 496*t + 78*t for t.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-1*2\/6). Let r be 1\/(-3) - ((-16)\/(-24) + -5). Suppose r*z - 3*z = 3*d + 138, 5*d = z - 142. What is the greatest common divisor of z and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27492953 and 645.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.33, -41, -1\/5, -1, -3 in decreasing order.\nAnswer: 0.33, -1\/5, -1, -3, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**4\/b)**50*b**(3\/5)\/(b*b*b**(-12)) assuming b is positive.\nAnswer: b**(803\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-36)\/(-24))\/(58\/(98136\/(-54)))?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 9*m - 82. Let i be p(10). Solve 5*k = i*k + 26*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/55, 2, 10, 1, -1\/15 in decreasing order.\nAnswer: 10, 2, 1, -2\/55, -1\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10148*a + 324810 + 50666 = 0 for a.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.12 - -0.52. Let t = 34954.3 + -34954. What is the fourth biggest value in -0.08, t, r, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/9 + (-40)\/42. Let y = 4 - 0. Which is the closest to m? (a) -0.5 (b) y (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -12*q. Let u(t) = t. Let o(h) = 6*u(h) + v(h). Let d(l) = 81*l. What is o(d(b))?\nAnswer: -486*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 13) + (-999165)\/(-16933) + -45?\nAnswer: 2\/287","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/12880 and 29\/140.\nAnswer: 12880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 87423 and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.8 in 1, 4, 0.5, -27, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 34582196?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -21 to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 47*m - 38*m - 45. Suppose 0 = -2*j - 4*c - 6, -m*c = 5*j - j + 15. Put -1, j, -89 in increasing order.\nAnswer: -89, j, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 3, 270 in descending order.\nAnswer: 270, 10, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**2 + 4*z - 9. Let i be b(-7). Let j be (i\/24)\/((-2)\/(-16)). Solve -13 = -j*t + 3*l, -15 = -2*t - t - 3*l for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 0*b - 5*b. Let q(w) = w**2 - w - 4. Let c be q(3). Find the first derivative of k + b*k - 2 + 2*k - c*k wrt k.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - 1000?\nAnswer: -1011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(100)\/(sqrt(45)*-4))\/(sqrt(96)\/(sqrt(18)\/sqrt(3))).\nAnswer: -sqrt(5)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jvvvjjjvjvvjjjqvvqj. What is prob of picking 1 v, 1 q, and 2 j?\nAnswer: 48\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 + 0.13187.\nAnswer: 0.03187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 192140 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (320\/(-96))\/((-2)\/(-6))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j + 8. Let m be -5*(0 - 1) - -50. Let p(w) = -25*w + 220. Let o(u) = m*n(u) - 2*p(u). Let f(l) = 15*l**2 + 4. Calculate f(o(t)).\nAnswer: 375*t**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-44)\/24 + -3 + 33\/(-198).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 29 + -38 - (-1 + -1)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15950.\nAnswer: 2, 5, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5940 + -3336. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 a factor of 59346?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-54)\/(-24) + (-1)\/4. Suppose -x + 6 = g*x. Let a = 0 - -3. Solve w - a*w + x = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6 + ((-561)\/(-6))\/(-17))*-4. What is the nearest to k in -1\/4, -8\/11, 1, 5?\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 947 is divided by 53.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 w when three letters picked without replacement from {u: 1, w: 1, y: 2, b: 1, a: 1, o: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*p**3 - 75*p**2 + 170*p.\nAnswer: -5*p*(p - 2)*(p + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3727644 is divided by 207091.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that s**5 - 23474*s**4 + 750430*s**3 - 6704892*s**2 + 11252385*s - 5274450 = 0.\nAnswer: 1, 15, 23442","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1422*y - 11 + 8 + 1474*y + 48.\nAnswer: 2896*y + 45","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1037 and 1598?\nAnswer: 97478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -20, -1, 40\/9, 4\/31, 1, 15, -5?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 43920387*o**3 + 19520334*o**2 + 2168980*o + 8.\nAnswer: (9*o + 2)**2*(542227*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - 20?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 12c5 (base 14) to base 11\nAnswer: 2539","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j - j + 3*j)*(-2 + 2 - j**3) + 4*j**4 + 4*j**4 - 3*j**4 + 8*j - 8*j - 3*j**4.\nAnswer: 4*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.5 + -0.5. Suppose 3*m = m. Let t = -12 + 7. Which is the second smallest value? (a) m (b) t (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 - 3. Let n(r) = -r**2 + 6*r + 5. What is the smallest common multiple of 6 and n(l)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -398.8 - -16506.746?\nAnswer: 16107.946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28\/(-56))\/((-1)\/(-4))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/(i*(i\/i**(-3\/8))\/i)*i\/(i\/i**(-1)))**(-28)\/(((i**1\/i)\/i)\/i*i**(3\/2)\/i*i\/(i**(-5\/4)\/i*i)*i\/(i\/((i*i*i**(1\/5))\/i)*i)) assuming i is positive.\nAnswer: i**(191\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*h + h - 2*d + 1, -145*h + 296*h - 5*d = 147*h + 32 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - f**3 - 5 + 6*f**3 - 85*f.\nAnswer: 5*f**3 - 85*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 - -14. Let b = 5.771 - -0.029. Let y = 4.8 - b. Sort y, 2, o, -0.1 in decreasing order.\nAnswer: o, 2, -0.1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (969\/(-18))\/(-17) + (-10)\/60. Let a(t) be the second derivative of 0*t**2 + 0 - 5\/6*t**4 + 5\/6*t**g - 3*t. What is the second derivative of a(i) wrt i?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2141 and -0.2.\nAnswer: 428.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 AM and 2:44 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720)*-1)**2 + sqrt(720) + (sqrt(25)\/(sqrt(5)*1))**2.\nAnswer: 12*sqrt(5) + 725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4104 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, -1\/3, 0.017, 2\/77, -5.\nAnswer: -5, -3\/4, -1\/3, 0.017, 2\/77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -95*u**3 - 93*u**3 + 183*u**3 + 2*u**3 + 0*u**3 - 3*u**3 + (13 + 18 + 7)*(4*u - u**3 - 4*u).\nAnswer: -44*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 + -29 + -7 + 26?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 1 + 3, -5*s = -5*v - 10. Suppose v = -5*q - 2*k + 795, -4*q + 0*k = -k - 623. Let z = -26 + q. Is z a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 157 - (217 + -93 + -21).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 4*m**2 + 2*m - 5. Determine y(-3).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 101 divide 404?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, 28, 5, 1827 in descending order.\nAnswer: 1827, 28, 5, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17 - (-28 + 14)) + 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/1)\/((-40)\/(70\/(-7)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.0531 + -0.4531. Which is the closest to 0.1? (a) 3 (b) r (c) 0.5 (d) -0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 801867743 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2833 - -2836. What is the nearest to -0.2 in 0, 0.2, 5, x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83601 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4869292 = 5*k - 899292. What is k rounded to the nearest ten thousand?\nAnswer: -790000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 12:59 PM?\nAnswer: 9:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(6\/105*(-2 - -7)). What is the greatest common factor of 7 and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -42310, -48529, -54748, -60967?\n\"Answer: -6219*s - 36091","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 9729?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66775?\nAnswer: 5, 2671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 27947*z. Let a(c) = 2*c - 3. What is a(x(s))?\nAnswer: 55894*s - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24 by -12.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.06875 (b) 3\/2 (c) -0.1 (d) 159\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7090 and 214827?\nAnswer: 709","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(-28) + 154\/49. Suppose -2*n = -4*p + 16762, -4*p = -r*n - 5080 - 11677. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + -8. Let k(j) = 6*j + 1. Let a be k(f). What are the prime factors of a\/(-3) - 4\/(-12)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.48, -5.5, -16, -132, -4\/5?\nAnswer: -132","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, n: 1, a: 1, u: 2}. Give prob of sequence an.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -37048346029 - -37048987598.99804. Let h = j - 641638. Let x = h - -68. Round x to four dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*i + 11. Let g(m) = -m**3 - 2*m**2 + 6. Let h be g(i). Let z = -55 - h. What is the highest common factor of z and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*y - 67*y + 26598 = 0. Calculate the greatest common divisor of y and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 200 and 3500.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 6\/((-1008)\/(-42))*(-64)\/152\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27964645 to the nearest integer?\nAnswer: 5288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r**3 + 0*r**2 + 4 - 13*r**2 - 17*r**2 + 16*r**2 to i*r + c*r**2 + t + w*r**3 and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25 and 23524075?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**3 - 7*i + i - 2 + 4*i)*(-2*i + 0*i + 3*i).\nAnswer: -i**4 - 2*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 22 = 5*q. Let n(t) = -7*t**2 - 8*t - 1. Let b(u) = 20 + 7*u**2 - 18 - 2*u**2 + 15*u + 8*u**2. Give q*b(g) - 11*n(g).\nAnswer: -g**2 - 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 + 7*n + 5. Let p(h) = 1. Let g(c) = p(c) + y(c). Suppose 605 - 306 = -53*t - 19. What is g(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 2*q**2 + 59*q + 348. Give w(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/16)\/(3\/(-32))*(-63)\/210. Let 4\/5*v**4 + 0*v + 0 - 1\/5*v**5 - o*v**3 + 0*v**2 = 0. Calculate v.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1117, 3198, 6205, 10132, 14973, 20722?\n\"Answer: -w**3 + 469*w**2 + 681*w - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -22*21\nAnswer: -462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 248 + -243. Put j, -26, -2, 3 in descending order.\nAnswer: j, 3, -2, -26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 81, 317, 855, 1845, 3437, 5781, 9027, 13325?\n\"Answer: 25*a**3 + a**2 + 58*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.5 + 0. Let c = -52 + 31.2. Let g = -21 - c. What is the nearest to 1 in 0, g, l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**12\/i*i*i\/(i*i**(-3\/8)))\/(i\/((i*i\/(i*(i\/(i**4\/i))\/i))\/i))**(-2\/7))**(14\/5) assuming i is positive.\nAnswer: i**(717\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 - 3*o**2 + 5*o - 1. Let j be t(-4). Sort 0, 1, j in decreasing order.\nAnswer: 1, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide (-386)\/(-10) + -3 + 51\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 9*p + 1. Let m(s) = -10*s - 1. Let q(i) = -3*c(i) - 4*m(i). What are the prime factors of q(1)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 31 + 39701\/(-1218) + (-4)\/(-42). What is the fourth smallest value in 1\/87, 0, d, 0.7, -3?\nAnswer: 1\/87","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 AM and 7:29 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 + 9*n**2 + n. Calculate h(-8).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 102094?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11771 + -11762. Calculate the highest common divisor of 1002 and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4 + (-22)\/(2\/(-1)). Suppose -h + 0*h - 8 = 0. Let n = g + h. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 66 and 165795333?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 - 6*c**2 - 7*c - 20. Let o be ((-1)\/(-2))\/(4\/(-96)*2). What is the tens digit of r(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a + 9. Let f be u(-3). Let p(s) = -3*s**2 + 1049 - 521 + 18*s - 525 + 0*s**2. Calculate p(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 854397 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31 - 28.12. Let c = -0.88 + m. Is -2.6 at least c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 714*w - 54 = -4*z + 713*w, 0 = 2*z - 4*z + 5*w - w - 180 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77884910.\nAnswer: 2, 5, 233, 33427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001217 rounded to 3 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 6 = 3*s, 0 = -3*s + c + 422 - 416 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54035103 is divided by 75?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((2*sqrt(396)*-2)**2 + sqrt(396) + sqrt(396) + (sqrt(396)*-3)**2 + 4).\nAnswer: 60*sqrt(11) + 49520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + -6 + 12 + (-209)\/41. Which is the fourth biggest value? (a) 2\/3 (b) 4 (c) -4 (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -40, -40, -26, 2, 44, 100?\n\"Answer: 7*b**2 - 21*b - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 8*n**3 + 9*n**2 - 93*n + 3. Let z(y) = 2*y**3 + 3*y**2 + 2*y + 1. Give -h(r) + 3*z(r).\nAnswer: -2*r**3 + 99*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/2*0\/(-2). Let w(u) = u**2 + 6*u + 4. Let z be w(-6). Suppose -3*v + 9 = t, 3*t = -2*v - z + 3. Solve r = 3*m + 3*i + 3, -m + 5*i - v = -33 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1820?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 12:21 PM?\nAnswer: 2:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6744712?\nAnswer: 2, 13, 64853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 - 9*f**2 - 7. Suppose 0*w = w - 2*j + 5, -w - j + 10 = 0. Suppose 35 = 5*m - 4*s, -w*m - 5*s = -0*s - 80. Is c(m) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1781444 is divided by 11956?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 169 a factor of 3415201?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 2*z - 3*z - 2*z + 5*z. Let t(o) = -3*o. What is 3*f(x) + 3*t(x)?\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzrbbrbbzzzzbzzbzbz. What is prob of sequence bbrz?\nAnswer: 77\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -9*l. Let o(n) = -n**3 + 5*n**2 + 2*n - 2. Let s be o(4). Let c(b) = -21*b + s*b + 4 - 4. Calculate c(g(h)).\nAnswer: -9*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of b**4\/18 - 4*b**3\/3 - 51*b. Let j(d) = 0. What is d?\nAnswer: 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 x, and 1 o when three letters picked without replacement from {t: 1, o: 1, x: 1, n: 1, d: 2, l: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 + 60 = 2*d. Suppose -17*i + d*i + 192 = 0. Is i a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 13960*h**2 - 113*h + 21838444 wrt h?\nAnswer: 27920*h - 113","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -579 by -2.\nAnswer: 579\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*(-888)\/(-7560) + 2\/(-14).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q**2 + 0*q**2 + q**3 + 0*q**3 + 4 - 7*q - 5*q**2. Let f be d(5). Solve -2*p + 5*o = -5*p - f, -5*o = 2*p + 16 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -51, -90, -123, -150, -171?\nAnswer: -186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -56\/267 and -44\/69.\nAnswer: 6141","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6\/277 (b) 5\/2 (c) 3.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6701371?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11355145*s**3*u**2 + 9*s**3*u - 3*s**2*u**4 - 5*s*u - 84314*u - 1 wrt u?\nAnswer: 22710290*s**3 - 36*s**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 11 = -n, 3208*t + 106 = 3206*t + 5*n for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**3 + 288*v**2 + 1204*v + 912.\nAnswer: -4*(v - 76)*(v + 1)*(v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 41396, 165619, 372676, 662567, 1035292, 1490851, 2029244?\nAnswer: 2650471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 1 = 11. What is the smallest common multiple of 2 and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (24\/12 + -3)*10\/25. What is the nearest to m in -1\/3, 43, 1\/6, 0.2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -25, -2, 411, 3 in descending order.\nAnswer: 411, 5, 3, -2, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 354 - 709\/2. Let d = -2 - -2.1. What is the third biggest value in l, -4\/9, d?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 870380319 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-40)*8)\/(((-99)\/(-737))\/9).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 35333, -3, 4 in decreasing order.\nAnswer: 35333, 4, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1238 is divided by 27?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express k**2 - 3 + 2*k**2 + 1007*k - 2007*k + 1003*k - 3*k**4 - 4*k**3 in the form h*k**3 + p*k**2 + o*k**4 + m*k + u and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the second derivative of 1\/2*a**2 + 0 + 0*a**3 + 6*a - 7\/30*a**6 + 0*a**4 + 0*a**5. What is the first derivative of t(i) wrt i?\nAnswer: -28*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -897 - 543 = -20*k. Is 4 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * 99.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 357633 or 357537?\nAnswer: 357537","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -32081 - -61531. Is 192 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q + 4*q + q)*(3*q**2 - q**3 - 3*q**2) - 6*q**3 + 6*q**3 + 7*q**4.\nAnswer: 5*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 375999565*c*x*y**2 - 2391*c*y**2 + 29784*c*y + x*y**2 with respect to x.\nAnswer: 375999565*c*y**2 + y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-12)\/8 + 4)*2. Put p, -2, 3 in increasing order.\nAnswer: -2, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -28, 53?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 617?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3 + 197*z + 55*z**2 + 289*z + z**3 + 0*z**3 + 116*z**2.\nAnswer: 3*z*(z + 3)*(z + 54)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*o = -22*o + 6440. Let p = 102 + o. Which is greater: p or -221?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + -56\/9. What is the closest to p in 0, 1, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13\/26 - (27\/2)\/(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2498593 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -29*j**2 - j + 4. Let v(u) = -15*u**2 + u + 2. What is -3*a(q) + 5*v(q)?\nAnswer: 12*q**2 + 8*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 76082737 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 294 and 42.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -453.2 and 0.1151?\nAnswer: -52.16332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2910*p**3 - 3974*p**3 - 1802*p**3 + 1844*p**3.\nAnswer: -6842*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 7639.685nm in meters?\nAnswer: 0.000007639685","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 6*t**2 + 151*t - 509. Determine o(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*(s**(-2)*s)\/s*(s\/((s*s**(2\/17)*s)\/s*s*s))\/s*(s\/(s*s**(-2\/7)\/s*s))**(-40))**(-2\/11))**(-39) assuming s is positive.\nAnswer: s**(-144300\/1309)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 4*u = -3*l + 350, 457 = 4*l + 3*u. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 710821 + 13?\nAnswer: 710834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 0 + u**2 + 0 - u**3 - 6 to s*u + k*u**3 + v*u**2 + q and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d = -3*d + 2*d. Put -0.5, 0.3, d, -2 in ascending order.\nAnswer: -2, -0.5, d, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(128) + sqrt(128) - sqrt(800).\nAnswer: -20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j + 2*j + 0*j)*(-11*j - 77*j - 29*j - 32*j).\nAnswer: 149*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*f**3*o**3 - f**3*o + 1599*f**3 + 583*f**2*o**3 - f*o - o**3 + 2*o**2 wrt o.\nAnswer: -30*f**3 + 3498*f**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40421, 40438, 40455, 40472, 40489?\nAnswer: 40506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -153 - -503. Let j = m + -442. Which is smaller: -93 or j?\nAnswer: -93","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -4*i - a - 3, 2*i + 5*a - 24 = 0. Suppose i*h + 3*z - 92 = -z, 262 = 5*h + 2*z. What is the remainder when h is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4\/27, 6\/7, -1?\nAnswer: -4\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-24)*(-126)\/42\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = x - 4. Suppose -2*b - 1 = -3. Let h = -1 + b. Solve 4*d + x - 20 = h for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.275 + -0.175. Let y(o) = 2*o**3 + 25*o**2 - 14*o - 9. Let n be y(-13). Which is the nearest to l? (a) -0.02 (b) -1\/4 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-14)\/3 - 4*(-5)\/30. Let v be (-15)\/(-4) + 3 + 11\/n. Solve -5 = 4*q - 5*z - 33, -2*q - 2*z = v for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 4)*(2*d + d + 8*d)*(-2 + 3 + 2).\nAnswer: 99*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-2\/3)*s*s**(2\/21)*(s*s*(s\/s**(-6))\/s*s*s)\/(s*s**(1\/7))*(s**(-6)*s*s**(-1))**(-1\/19) assuming s is positive.\nAnswer: s**(1277\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 258397 times -532\nAnswer: -137467204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6014811ng to tonnes.\nAnswer: 0.0000000000000006014811","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15057 < 15063?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 103024\/77 - 1338. Suppose 3*z = 8*z. Let i be z*(-4)\/(-12)*-1. Which is bigger: u or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6 - 58*j**3 + 100*j**3 - 75*j**4 - 42*j**3 with respect to j.\nAnswer: -300*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 PM and 4:47 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0*(-24)\/768)\/((-15)\/(-3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2866 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -13\/1370 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16478 is divided by 3280?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - 732\/90 - (-304)\/30?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1043 - -1060. Let c be 291 + 6\/(-3 - 0). Calculate the highest common factor of k and c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32200531?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 2*s - 3*c - 52, 3*c = 4*s - 92. What are the prime factors of s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 + 13*j + 31. Let h be t(15). Suppose o - h - 5 = 0. Let v(d) = 2*d**3 - 3*d**2 - d + 4. Calculate the remainder when v(3) is divided by o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2219609519 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, n: 2, v: 4, o: 2}. Give prob of picking 1 n and 1 o.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 272 - 176. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 1, -1\/3, 0, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 135564 divided by 3.\nAnswer: 45188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 0.92 (b) -3 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 628661302480.93 + -628722733722.929979. Let n = -61431214 - a. Let t = n - 28. What is t rounded to 5 dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = h + 6. Let y be (-32)\/h*(-3)\/(-2). Solve -t - t - y = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 82280 to the nearest integer?\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1238?\nAnswer: 2, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llla when four letters picked without replacement from {l: 4, a: 2, z: 1, n: 2}?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 4\/75 of a day?\nAnswer: 4608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 18\/5 of a millennium?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/2 and 1062\/(-224) - -2 - (46 + -49).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 less than -1415176?\nAnswer: -1415175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 3*f - 3*f + 6*f - 3*f = 2*f, 0 = 10*x - 3*f + 130 for x.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + 4. Suppose -s - 4*i + l = -15, 32 = 5*s + 3*i. Does 3 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -729*p**2 + 524*p**3 - 1038*p**3 + 514*p**3 + 666*p**5 + 600*p**5 wrt p?\nAnswer: 75960*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -2*i. Let f(a) = -7*a - 2. Let r(m) = -279*m - 81. Let j(h) = 81*f(h) - 2*r(h). What is j(y(t))?\nAnswer: 18*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, -6, -3.\nAnswer: -6, -5, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(4\/5)\/p**11*(p**2)**(-1\/66) assuming p is positive.\nAnswer: p**(-1688\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 179 + 167. Let i(r) = -17*r**2 + 3*r - 3. Let x(q) = 5 + 18*q**2 - 3*q - q - 1. Let a(s) = c*x(s) + 4*i(s). Let u(k) = 2*k**2. Give u(a(l)).\nAnswer: 392*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = p - 3*m - 10, 2*m = 3*p - 34. Solve p*k - 6 = 12*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 22844\/27, 3\/5, -0.04, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, -563812, -2\/11 in decreasing order.\nAnswer: -2\/11, -1\/5, -563812","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.2539 + 0.2\nAnswer: 0.4539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of h**3\/3 - h**2\/2 + h + 517. Let q = -6 - -4. Let p(v) = v**3 - 3*v**2 + 3*v - 3. Determine q*p(n) - 6*b(n).\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 59361 and 24111.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fa when two letters picked without replacement from hfhhhhhhfffhfffffahf?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2551851?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -20 (b) 5 (c) 4 (d) 37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 7*b - 6. Let o be f(5). Suppose 0 = 4*x - 734 + 218. Let j = -100 + x. Do j and o have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 4:50 PM?\nAnswer: 12:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5497.15 or -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 18913556 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -297*d + 54*d + 61*d + 59*d + 59*d + 54*d.\nAnswer: -10*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sissssissss. What is prob of sequence iis?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9\/1 - (-2 + (-48)\/(-8)). Suppose l*i = 2*m + i - 17684, -3*m = -i - 26521. Round m to the nearest one thousand.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-2 + (-4*2*sqrt(320))**2).\nAnswer: 122868","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 39*(-53)\/(-8904)*-56?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -539, -511, -487, -467, -451?\nAnswer: -439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 6822, 13644, 20466, 27288?\n\"Answer: 6822*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 3*h**2. Let p(y) = 11*y**2 - 3*y - 100871. Determine p(q(r)).\nAnswer: 99*r**4 - 9*r**2 - 100871","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*u + 8*u**2 + 185 - 5*u - 183)*(-48*u**3 - 34*u**3 + 25*u**3).\nAnswer: -456*u**5 - 57*u**4 - 114*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3726 - 4858 + 1692 + 565 = -333*z for z.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 22 = -7. Let j(b) = -28*b - 5. Let d be j(2). Let k = d + 65. Solve f*i + 4*t + 8 = 0, 4*i + 4*t = k - 12 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 5\/4 of a kilometer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 3:34 AM?\nAnswer: 5:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/3 (b) 0 (c) 2 (d) 0.03 (e) -3 (f) 181 (g) 0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 231 and 5775?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10647112*b - 8671256 wrt b.\nAnswer: 10647112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4765 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*f + 15 = -46*f. Suppose -11 + 2 = -f*w. Solve 0 = 4*v + 1 + w for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a century in years?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in -6\/5, 2, -229?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (((-2142)\/(-8))\/(-7))\/((-15)\/80). What is the highest common divisor of 12 and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -2\/7, 5, 16?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 28\/35*(-11 + 1). Let f(d) = -d - 5. Let g be f(p). Suppose -g*l = -168 - 12. Calculate the highest common factor of l and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*c**2 + 2*c**2 + 5*c**2 + (7 - 3*c - 7)*(4 - 4 - 2*c) + 2*c**2 + 5 - 5 + c**2 + c**2 - 3*c**2 to the form d*c + i + y*c**2 and give y.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 9*j**2 + 5*j. What is the units digit of s(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1594341 and 12223281.\nAnswer: 36669843","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 932 - 440. What are the prime factors of f?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2397 is divided by 786.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11006 + 641 = -5*o. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -4*l**3 + 43*l**2 + 422*l + 861. Let g(y) = -11*y**3 + 130*y**2 + 1264*y + 2584. Let v(b) = -3*g(b) + 8*r(b). Solve v(n) = 0 for n.\nAnswer: -4, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a week in seconds?\nAnswer: 30240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3d9 (base 14) to base 7.\nAnswer: -2162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 23309521 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + 642\/378 - 212\/(-477). What is the closest to 1 in 2, 3\/7, 0.2, j?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -91, -121, -155, -187, -211, -221, -211, -175?\n\"Answer: x**3 - 8*x**2 - 13*x - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 612 and 164160891.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 193*r**3 + 168*r**3 - 452*r - 358*r**3 as f*r**2 + t + j*r**3 + k*r and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5262?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**3 + 2*o**3 - 2*o**3)*(o + 0 + 0) - 16*o**4 - 455*o**3 + 455*o**3 + 2*o**4 - 2 + 2 + (2*o**4 - o**4 - 3*o**4)*(-1 + 5 - 2).\nAnswer: -16*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14 and (-3)\/6 - (-58)\/4?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -6\/7 + 2\/7*p + 6\/7*p**2 - 2\/7*p**3 = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1441 and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(4\/15))\/(s**(7\/2)*s))\/(s**22\/s**(-21)) assuming s is positive.\nAnswer: s**(-1403\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55500513 (base 6) to base 7.\nAnswer: 20132502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 231 and 11047509?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.18 and -4042174436.\nAnswer: -4042174436.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 - 71*s - 640. Let d be c(-56). Calculate the highest common divisor of 940 and d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - -1. Suppose 0 = 2*o - 6*o + 64. Solve p*a = -2*a - o for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(117)*3 + sqrt(117) + 1 - (sqrt(26)\/sqrt(2) + -3)*1).\nAnswer: 8 + 22*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -842*a**2*s**2 + 1307*a*s**2 wrt a?\nAnswer: -1684*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmqmmhmqmmmmmn. What is prob of sequence mm?\nAnswer: 11\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-3))\/((23\/23)\/((-1)\/1)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -519, -5, 0, -2, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-41)*n**(-3\/8)*n**(-24)*n*n*n**36*n assuming n is positive.\nAnswer: n**(-211\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = 6*g + 20, f + 2*g - 5*g - 4 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1470011 (base 8) to base 12.\nAnswer: 1841a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 g when two letters picked without replacement from {r: 6, u: 1, p: 3, g: 3}?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 11*x + 209. Let f be o(-19). Put 5, 3, 23, f in decreasing order.\nAnswer: 23, 5, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1550 + -1553. Let f be -1 - -2 - 3\/(-1). Put 1, f, d in decreasing order.\nAnswer: f, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that y**3\/4 - 9*y**2\/4 - 63*y = 0.\nAnswer: -12, 0, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5\/10*(-12)\/(-3). Let k be (-1)\/2*f\/(-1). Let v = 138 + -134. Solve -v - k = -5*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 2*p - p - 129020, -2*m = 5*p - 645010. What is p rounded to the nearest 10000?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1781 - 23?\nAnswer: -1814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4*1 - -2 - -5. Calculate the common denominator of -77\/6 and b*((-14)\/(-18))\/1.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmmm when four letters picked without replacement from {c: 2, m: 7}.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10556646 is divided by 5208?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1576 to the power of 1\/2, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-1))\/((-4)\/(-4)*1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -3*g - 436 + 439 + 2*g. Suppose 0 = -5*t + 2*t + 18. Calculate u(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6.14 - -5.84. Let o = 10 + -15. What is the third smallest value in -3\/11, o, h?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-31)\/((-3627)\/2704) + (-8)\/72.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 368 and 752.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(1300) + -2) + sqrt(1300) + -1 + sqrt(1300) + (5 + sqrt(208) - sqrt(13)).\nAnswer: -27*sqrt(13) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 46616807 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*r + o - 22 = 0, 0 = -201*r + 197*r + 37*o - 41*o + 44 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-35)\/14)\/((-5)\/148) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -6*j**2. Let c(l) = 0*l + 3*l - 5*l + 0*l. Determine c(r(s)).\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 5*h + 5*g + 3, 0 = -5*h - g - 14. Let i be 1*(1*h)\/3. Is 8 a factor of (-1 + i)\/(2\/(-16))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 333.8 + -303. Let h = b - -173.2. Let r = h + -202.87. Round r to 1 dp.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 224531147 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5698 and -110489.\nAnswer: 629566322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*v - 2*v + 22. Suppose 2*m = -3*m - 150. Let u = m + 50. What is the remainder when u is divided by v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + -5. Let h be 4\/(-6)*(-3)\/2. Which is the third biggest value? (a) h (b) d (c) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 236862433?\nAnswer: 236862433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + 3. Suppose 60 = y*k - 6. Let r = -4 - -8. Solve 0 = r*g + j + 2 + k, -g + j - 7 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90*j**3 - 123905*j + 61675*j + 62230*j.\nAnswer: -90*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand j + 0*j - 2*j + (j - 2*j + 2*j)*(2 - 2 - 4) + 14 - 14 + 9*j.\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/4)\/((-3)\/(-4)).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 756934108?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 o when three letters picked without replacement from {f: 2, t: 3, o: 5, z: 2}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-5))\/(252\/70)*-3*4\/4.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*y + w = 4*y - 7, -4*y + 5*w = -21 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 7:44 AM?\nAnswer: 2:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -53*v + 446 wrt v.\nAnswer: -53","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5631?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.29665 minus -1254374?\nAnswer: 1254363.70335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -6*b**3 - 6*b**2 + 5*b - 5. Let i(x) be the second derivative of 7*x**5\/20 + 7*x**4\/12 - x**3 + 3*x**2 - 3*x. Give 5*i(z) + 6*n(z).\nAnswer: -z**3 - z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 + -5.7219.\nAnswer: -6.1219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/o**(-4\/9)*o**(-3)*o*o*o*o**(1\/4)*o**(1\/17)\/o assuming o is positive.\nAnswer: o**(461\/612)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -178, -169, -160?\nAnswer: -151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -859, -1014, -1169, -1324, -1479, -1634?\nAnswer: -1789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1041*g = -1054*g + 598. Solve 45 = 13*w - g for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 2*n + 12, 0*t + 18 = 2*t + 2*n. Suppose -a - t = -2*a. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*w - 3*b + 6, -38 = -3*w + b. What is the remainder when 31 is divided by 90\/w - (-2)\/4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -337 - -336. Let v be 5 + 4\/(-2) - -2. Do v and k have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-11)\/(-2) - (-8)\/(-16). Solve 5*r - 15 = 5*w, t*w + 0*w + 29 = -2*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -4*r - r. Let b be (-2 - (-4 - -2)) + 0 - r. Factor 2*u**2 + 2*u**b - 2*u**2 + 10*u - 7*u**2.\nAnswer: -5*u*(u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2752*a - 1308*a - 1433*a.\nAnswer: 11*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -48*f**2 + 3*f - 2. Let s be q(1). Let v = -45 - s. Suppose v*k + 24 = 5*k. What is the remainder when 29 is divided by k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 49.746 - 0.046. Let p = 52 - r. Let u = -2.68 + p. What is u rounded to one dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88547 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -215 at most -215?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 187?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -7240400 rounded to the nearest one hundred thousand?\nAnswer: -7200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccc when three letters picked without replacement from eecceeeeceecccce.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -76 + 31?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3*(-12)\/18 + (-9)\/4. Which is the nearest to p? (a) -0.1 (b) 0.3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 284309 is divided by 335?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = 2*r + 24, -42*r = -41*r + 13*p - 10 for r.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**3*d**22\/d*(d**(-3\/17)\/d)\/d**(-8) assuming d is positive.\nAnswer: d**(524\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -10*b**3 - 20*b**2 - 2*b**3 - 2*b + 1 + 16*b**2. List the prime factors of a(-2).\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-59432)\/(-204) + 1\/(-3) is divided by 59?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2481426177 to the power of 1\/3, to the nearest integer?\nAnswer: 1354","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 124927 (b) -2643\/4 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 0*t - 4 = 0. Suppose -t*j + 4 = -2. Sort -2, 0, j in descending order.\nAnswer: j, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3460537 a multiple of 234?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -660012\nAnswer: 1\/330006","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 4 - 6. Let p = 162 + -158. Solve -3*w - 5*y = -8, -w + 3*y + j = p for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 7389854 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 27402 plus 0.1?\nAnswer: 27402.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*m**3 - 12*m**3 + 5*m**3.\nAnswer: -15*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17175157, -17175158, -17175159, -17175160, -17175161?\nAnswer: -17175162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 2*p + 213. Let b(r) = -3. Determine 6*b(x) + m(x).\nAnswer: 2*x + 195","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6\/379 + -11779\/1895. Let v be 2\/17 + 2490\/510. Suppose 2*t + 0*t = 0, -b - 2*t - v = 0. Which is smaller: c or b?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 70116, 140234, 210352, 280470, 350588, 420706?\n\"Answer: 70118*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w**4\/4 + 317205*w**3\/2 - 33526980075*w**2\/4 - 335460147750*w - 3355236007500 = 0. What is w?\nAnswer: -20, 105755","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/62772 and -49\/172623?\nAnswer: 690492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 160463404?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-168)\/240*5\/(-14))\/(7\/24).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -3*d**2 + 11*d. Let u(l) = 6*l**2 - 32*l. Determine 8*r(p) + 3*u(p).\nAnswer: -6*p**2 - 8*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 3*c**3 - 26882322*c**2 + 60221576126976*c + 120443259783264 = 0.\nAnswer: -2, 4480388","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44, 43, 42?\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*j - 1 + 0 - 2 - 1 - 8*j**2.\nAnswer: -4*(j - 1)*(2*j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 937 = 2902. Suppose -341 = -2*i + i - 4*w, -2*i + w + z = 0. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 513300 is divided by 14665?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8584 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 41.92358 centuries?\nAnswer: 50308.296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 22740000 rounded to the nearest one million?\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 15830*n**2\/13 + 4*n\/13 = 0?\nAnswer: -2\/7915, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 241*w**5 + 3*w**4 - 3*w**3 - 7*w + 339 wrt w.\nAnswer: 4820*w**3 + 36*w**2 - 18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(95) - sqrt(95) - sqrt(95))\/sqrt(5) + 1.\nAnswer: -4*sqrt(19) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.14355558 + -0.21750334?\nAnswer: -0.36105892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 8, a: 5}. What is prob of picking 2 v?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100 is divided by 38.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/1003 and 37\/99533.\nAnswer: 1692061","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, 4, -2\/17, -13, 0.8?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 278.3243nm in kilometers?\nAnswer: 0.0000000002783243","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 5*c = -10, 6*g = 3*g - 4*c - 11. Let n(j) = -j**2 + 4*j. Give n(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31764?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 138*p + 274*p + 6 - 136*p + p**2.\nAnswer: p**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 143418569 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8205?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 106*z - 2 + 28 - 16.\nAnswer: 106*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36 and 9549.\nAnswer: 38196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (22 - (11 - -2)) - (1 + 1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -29218071*p. Let d(c) = -2*c**2. Determine d(a(z)).\nAnswer: -1707391345922082*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 470430 is divided by 42761.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 742*n**3 - 7*n**2 - n - 4. Let p be o(6). Suppose -2*q = 2*j + 3*j + p, -j + 4*q = 31980. Round j to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110012 - -2?\nAnswer: -110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2417949929.\nAnswer: 421, 5743349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -3) + (-12 + 22 + -2 - -28).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/((((t\/(((t\/(t\/((t**(-6)*t)\/t)))\/t)\/t*t*t))\/t)\/t)\/t))\/(t**(-6\/11)\/t))**(-27) assuming t is positive.\nAnswer: t**(432\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 73813 and 134023?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -661, -1321, -1981, -2641, -3301, -3961?\nAnswer: -4621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.654397 to 2 decimal places.\nAnswer: 2.65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7 - 57?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-50)\/(-125)*30*-5*(-2)\/20.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -19 + (-9 - (-5 + -14 + 2)) + -13\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8.3 - -17.1. Let i = v + -9. Which is the biggest value? (a) i (b) 1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -92107, -184615, -277123, -369631, -462139?\n\"Answer: -92508*x + 401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 733 + -732.99989812. Round x to 6 dps.\nAnswer: 0.000102","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -207311*p + 86870*p - 362761*p.\nAnswer: -483202*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 48 + -40. Suppose f = 19*y - 15*y. Suppose b - p + 30 = 74, 5*p = y*b - 82. Calculate the remainder when b is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 15 + -8 - (4 + -2). Which is the biggest value? (a) -4 (b) u (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2 - 5*d + 4*d + 133*d**3 - 2*d**2 - 65*d**3 - 64*d**3. Let r be u(1). Sort r, 2, 4 in decreasing order.\nAnswer: 4, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of -g**6\/90 + 7*g**5\/10 - 13*g**4\/12 - 41*g**3\/9 - 759*g. Let i(j) = 0. Calculate j.\nAnswer: -1, 0, 2, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 28019 - 19613. Is n a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k + 640 + 2055 = 0. Suppose -9*l + k + 1856 = 0. List the prime factors of l.\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h - 16 - 62. Let b = h + 29. Suppose 56 = -b*c + 584. What is the greatest common divisor of 22 and c?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 535?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3156, -1\/9, 0, -0.3 in increasing order.\nAnswer: -3156, -0.3, -1\/9, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = 4*j - 113. Let o be 17\/((-3)\/(-2) - 1). Let a = o - j. Is a a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 49, 66, 97, 148, 225, 334, 481, 672?\nAnswer: 913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -950786*c = -950814*c - 2940 for c.\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4829.10463 - -0.003.\nAnswer: 4829.10763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 + 13*p**2 - 3*p + 1. Let y = 4 - 11. Let u be f(y). Suppose -154 = -3*h + h + 3*m, 4*m + u = 4*h. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 11*u - 5. Suppose 1 = 2*p - 9. Suppose -5*n - 7 - 17 = -2*k, -3*k + 2*n + 47 = 0. Calculate the remainder when s(p) is divided by k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 301 = 4*p - 1027, -2*p = -2*b - 364. What is the highest common divisor of 220 and p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/(q**(-21)\/q)*q*q**7 assuming q is positive.\nAnswer: q**31","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 9028, 9030, 9032, 9034?\n\"Answer: 2*w + 9026","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three tenths of a meter?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -34 + 15. Let r = m + 35. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (0 - 8) + -73 + (12 + -15 - 6).\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 151 - 63?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 2 - 1)*(5 - 5 + 3*v + (3 - 3 - 2)*(0*v + 0*v + v)) to the form x*v + d and give x.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.5 - -2. Let b be -1*1 + 648\/660. Let k = 167\/110 + b. What is the nearest to 0.2 in k, v, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -975*o**3*q**2 + 79*o**3*q - 25452*o**3 - 19*o wrt q?\nAnswer: -1950*o**3*q + 79*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2971462 is divided by 55022.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -4*v - 25. Let y be ((-3)\/4)\/3 + (-101)\/v. Solve -7*w - y = -4*t - 2*w, t - 9 = 4*w for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 881079 divided by -1731?\nAnswer: -509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.15 + 0.2. Let g = -3.92 - -0.97. Let s = g - b. What is the biggest value in -1\/9, s, -1?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*i**2 - 17*i**2 + 2456*i + 2357*i - 4813*i.\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of 3*l**4\/28 + 2*l**3\/7 - 8. Factor g(o).\nAnswer: 3*o**2*(o + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppppppppppppppnpppp. Give prob of sequence pppp.\nAnswer: 15\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 24472740?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 f when three letters picked without replacement from hfhffhhfff?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x and 1 z when four letters picked without replacement from {z: 4, h: 4, x: 7}?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 + 6 - (-27 + 11 + -9)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-8)\/(a\/((a\/(a**(-2\/15)*a)*a)\/a)))\/(a*a\/(a*a*a**(-2\/21)\/a)*((a\/a**(-6\/11))\/a)\/a) assuming a is positive.\nAnswer: a**(-10981\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7317460?\nAnswer: 2, 5, 151, 2423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -690 in -4, -0.6, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 3 = 15. Suppose d - y = 2. What is the remainder when 22 is divided by d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -60, -1, 4690 in descending order.\nAnswer: 4690, -1, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 19898012*b**3 - 1428683 with respect to b.\nAnswer: 59694036*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 408\/5 - 82. Let n be 1\/(-5) - 2226\/(-9030). What is the third smallest value in n, -1, o?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11986.9 + 11987. Which is the third biggest value? (a) t (b) 5 (c) -1.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*f + 2*f + 6*f)*(3*f + 3 - 3) - 1 - f**2 + 1 - 3*f**2 + 4*f**2 - 3*f**2 to u + h*f + y*f**2 and give y.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 72 * 221.\nAnswer: 15912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -310*j**2*r**3 - 2*j*r**3 - 2*j*r**2 + 1716*j*r wrt j?\nAnswer: -620*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - (11 + -21 + 3 + 28)) + 8?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 860\/9 not equal to 96?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 193*x - 7. Calculate y(1).\nAnswer: 186","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.35429 to 2 dps.\nAnswer: 0.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8516, 8631, 8824, 9095?\nAnswer: 9444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 28579 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40\/32*2*-190*(-14)\/(-175).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 - (5 - 2))*-2. Suppose 0*h + o*h - 26 = 0. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 140*s + 2851 - 3831 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/3? (a) 6.48 (b) 9 (c) -5 (d) 2 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (399\/152)\/((-6)\/(-4))*(9 - -15). Solve m = -28*h + 21*h for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28449772, -56899545, -85349318, -113799091, -142248864?\nAnswer: -170698637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 31353616 and 448?\nAnswer: 125414464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11.29 - 0.29. Let q = w - 10.84. Round q to 1 dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 2*t. Let d(a) = 114*a**2 - 152*a - 152. Let c(m) = m**2 - m - 1. Let q(i) = -456*c(i) + 3*d(i). Calculate q(j(f)).\nAnswer: -456*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 2 c when four letters picked without replacement from xuxczuczuxzzuugzuzgg.\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + -6. Let w(h) = h**3 + 5*h**2 - h - 2. What is the units digit of w(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 149 by -92009.\nAnswer: -149\/92009","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (31\/(-186))\/((-6)\/268) - 7. Which is the closest to 200? (a) 2 (b) 0 (c) 0.2 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(38\/(-133)) + (-69)\/3)*-2.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1444433 - -1101?\nAnswer: 2001034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - i + 7*i - 2095 + 2073 = 0, 9 = -3*i for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -555, -559, -563, -567?\n\"Answer: -4*h - 551","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -228, -591, -1254, -2367, -4080, -6543?\n\"Answer: -25*x**3 - 188*x - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - 5 + 1 + 1)*(28 + 24 + 76).\nAnswer: 128*k - 384","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103*p - 743 = 390 for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -43 and 31?\nAnswer: -1333","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 - 3*n**2 - 3*n + 6. Let h be 4\/(-6)*9\/(-2). Let i be y(h). Let p(x) be the third derivative of -x**5\/60 - x**4\/12 - x**3\/6 + x**2. What is p(i)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(684) + sqrt(684)*-2) + -2.\nAnswer: -24*sqrt(19) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 + 6*o - 12. Give q(0).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 8\/29 (b) -5\/4 (c) 0.29812 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 2895267?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 343515212 (base 6) in base 16?\nAnswer: 60bd38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-d + d - 2*d**3)*(-8*d - 8 + 8) + (-2*d**4 + 0*d**4 + 3*d**4)*(1 + 6 - 3) to g*d**4 + i*d**3 + j*d**2 + q*d + p and give g.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, -23.9, 2\/7, -0.08, -5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, c: 2, r: 5}. Give prob of sequence rrc.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 0*n - 4*v + 10 = 0, 4*n = 2*v + 6. Suppose k = 5, -79 = -n*x + 3*k - 4*k. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in 3, 0.01, 2\/35, 20, -4?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/36 and -5\/16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from faaafaafaaaffaaaffa?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 69030?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 11 - 26 = 4*c, -15 = 5*c - 3*q. Let s = 43 + -40. Suppose 0*m = s*m - 3, -4*l - m = -21. Put c, 1, l in descending order.\nAnswer: l, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + h - 124, -3*h + 27 = 2*f - 93. Is 21 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59460.\nAnswer: 2, 3, 5, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 8*u**2 + 3*u - 2. Let h be c(-2). Let r = 17 - h. Let j(g) = -g**3 - 6*g**2 + 7*g + 7. Let z be j(r). Solve 3*m = z*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 335 + -6353\/19. Which is greater: u or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (128\/320)\/((-26)\/(-10)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12340401?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102*l + 4 = -100*l. Let q(f) = 13*f + 28. Calculate the smallest common multiple of q(l) and 24.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -173, -164, -155, -146?\n\"Answer: 9*p - 182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 85*l - 486 = -82*l, -526 = -3*z - 5*l. Calculate the remainder when z is divided by 64\/(-20)*10\/(-1) - -3.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45 + 23 - (-7 - (-18 + -4)).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.268*11690.\nAnswer: -14822.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in five sixths of a day?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (252\/63)\/(104\/(-234)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 PM and 9:06 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-160)\/69)\/4 - 18\/(-27).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 97*d**3 - 5*d**2 + 11*d + 13. Calculate m(-1).\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 6 = 0, j - 3*j = 2*r - 20. Let c = 4 + -1. Find the third derivative of -r*q**3 + 13*q**c + 2*q**2 - q**2 - 6*q**3 wrt q.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 313429860.\nAnswer: 2, 3, 5, 1171, 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 7*p = 5 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of b**5\/60 - b**4\/24 + b**3\/2 - 3*b**2\/2 + 1. Let j(h) be the second derivative of s(h). Determine j(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 + 7*t**2 - 9*t + 12. Determine h(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -38? (a) -2\/75 (b) 0.05 (c) 4\/5 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1344 and 1316.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 260 = 7*t. Let u = t - 7. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 10:55 AM?\nAnswer: 1:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.4 + 0.32. Let z = -5.08 - v. Let u = 6 + z. Which is the third biggest value? (a) u (b) 0.1 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -57.72 + 0.72. Let k = 54 + z. What is the third biggest value in 0.2, 0, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -774433, -3097655, -6969665, -12390463, -19360049?\n\"Answer: -774394*v**2 - 40*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16137 = 107*f - 118*f. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92.07687 millilitres in litres?\nAnswer: 0.09207687","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 90.74385t to nanograms.\nAnswer: 90743850000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.5 + -1. Suppose 7*d = d + 30. Which is the closest to 1\/3? (a) n (b) d (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*f**2 + 3*f**2 + 3*f**2 + (6*f + f - 4*f)*(-2*f - 4 + 4) + 0*f**2 + 4*f**2 - f**2 - 2*f**2 + 2*f**2 - 5*f**2 + 2*f**2 - 16*f**2 + f**2.\nAnswer: -19*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 600620 or 600686?\nAnswer: 600620","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a kilogram in grams?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 5*u = -397, 4*u = -2*r - 19 - 253. Let p = -37 - r. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*k + 4. Suppose 0 = -c + 1 - 8. Put c, 4, k in descending order.\nAnswer: 4, k, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 96, 184, 272?\n\"Answer: 88*b + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 527 or 590?\nAnswer: 590","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4200390 is divided by 656.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 13 = 3*j, 2*j + 0 + 8 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40452240 divided by -48.\nAnswer: -842755","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -2, -4, -3, -0.84254.\nAnswer: -4, -3, -2, -0.84254, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 88 + 341*y**2 - 88 + (y + 4 - 4)*(0*y - 3*y + 2*y) - 18*y + 16*y**2 + 18*y to the form m*y**2 + z*y + l and give m.\nAnswer: 356","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7905.\nAnswer: 3, 5, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000099612183 to six decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -3*a - 3. Let w be (0 + -12 - -3)*-1. Let g = -6 + w. Suppose -g*y - 13 = -2*z, -3*y + 2*z = -y + 10. What is d(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 121 and 363.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*r + r - 7. Let u = r + -3. Suppose 0 = -5*j - u*b + 545, j - 3*b = -2*j + 354. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 786549796?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 20 = 2*c, 3*c + g - 3*g + 2 = 0. What is the tens digit of 4378\/121 - c\/11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1651860 divided by 60.\nAnswer: 27531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24704 by -193.\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-15)*(-30)\/48.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -38\/65 + 5\/13. Let o be -2 + (3 - 0\/(-2)). Let v be (-5)\/3 - (-3 + o). What is the third smallest value in z, 4, v?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 10*n + 23. Let j be m(-2). Let g(f) = 2*f + 2. Let b(k) be the second derivative of -k**3\/3 - 3*k**2\/2 + 137*k. What is j*b(y) + 4*g(y)?\nAnswer: 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 522 and 8294?\nAnswer: 74646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 - 9*l + 12. Let m be g(-10). Let k be (-3)\/m*20\/(-6). Suppose 10*a - k*a + 75 = 5*d, -2*a = -d + 11. Is d 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 1023190?\nAnswer: 2, 5, 7, 47, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 206 + 21. Suppose -2*z - 21 = -3*t - 104, -5*z + t + g = 0. What are the prime factors of z?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bwb when three letters picked without replacement from bkwbbbkkkbkkkbkkkbbb.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28.866 + 29. Let a = f + -0.133931. Round a to 5 dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 2200?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29662062?\nAnswer: 2, 3, 4943677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12\/11*i + 0 + 2\/11*i**2 = 0 for i.\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.049 + -0.041. What is the nearest to 1 in 0.4, -2, w?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - t + 2 = -3*t, -2*n + 3*t = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1397 - -1404. Put w, -5, -1 in decreasing order.\nAnswer: w, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -9*u**2 - u - 1. Let g(m) = 1. Let i(x) = 10*x**2 + x + 7. Let f(k) = -6*g(k) + i(k). Let s(w) = 5*f(w) + 6*t(w). Give s(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 8 = 0, -4*q + 5*q + c = 0. Let k be (-5 - 30\/(-4))*4 + q. Solve 0 = 4*g - 0*g + k for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3775 + 19*b - 4*b**2 + 17*b - 3807 = 0 for b.\nAnswer: 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2*s**2 + 3*s + 1. Let a be k(-4). Suppose 3*b = -a + 66. Suppose 5*i - b = -0*i. Solve -4*c + f - 14 = 0, 5*c = 6*f - i*f - 14 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 638?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -6*k - 216. Let f be a(-36). Suppose f = -65*m + 61*m + 4272. What is the thousands digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*i + 1670 + 549. Suppose -4 = 6*x - 124. Calculate the remainder when i is divided by x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 70 and 952.\nAnswer: 4760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2186813359 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 plus 7061062191777?\nAnswer: 7061062191777.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 33 and 183?\nAnswer: 2013","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5299?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of -x**3 - 396*x**2 - 52272*x - 168. Factor t(o).\nAnswer: -3*(o + 132)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of -u**7\/210 - u**3\/6 + 2*u**2. Differentiate s(l) wrt l.\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-26)\/(-6) - 3)*3. Suppose q - g*q + 12 = 0. Sort q, -4, -2 in increasing order.\nAnswer: -4, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1332?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -656\/5 + 132. Let c(s) be the first derivative of 0*s**3 + 3*s + 0*s**4 - r*s**5 + 0*s**2 - 3. Differentiate c(b) wrt b.\nAnswer: -16*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -9, -34 in ascending order.\nAnswer: -34, -9, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of 10873*q**6\/30 - 497*q**4\/4 - 13335*q. Find the third derivative of d(r) wrt r.\nAnswer: 260952*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 64 - -47?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 13*t + 9. Let v(w) = 3*w + 2. Let n(q) = q**2 - 2*q - 6. Let m be n(-3). Give m*v(h) - 2*l(h).\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 400*b**2 - 405*b**2 + 3 - 44*b in the form t*b**2 + a + c*b and give t.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28.8 - 24. Let y = h + -5. What is the biggest value in 0.6, y, -1\/3?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of -w**5\/15 + w**4\/6 - 2*w**3\/3 + 33*w**2 + 2*w. Let g(r) = -8*r**2 + 7*r - 7. Determine -4*g(l) + 7*q(l).\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 592 divide 249232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 + 7*f - 6. Calculate x(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**2 + 2*u - 2*u)*(-1 - u + 1) + (3 + 1 - 3)*(22*u**3 - 37*u**3 - 4*u**3)*(18 - 4 + 4).\nAnswer: -344*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/5)\/((-5)\/(-275)). Calculate the greatest common divisor of 33 and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5\/4 (b) 3\/23 (c) 2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2660472901?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22a5 (base 11) to base 10.\nAnswer: -3019","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 + 6*s**2 - 2*s - 4. Let g be k(5). Let n(l) = 57966*l**2 + 11*l - 5 + 57951*l**2 - 1 - 115929*l**2 + l**3. What is n(g)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + 9 + -3 + -3 + 4 + -7?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -254*d*z + 622*d - 2*z wrt z?\nAnswer: -254*d - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 4\/13 (c) 2 (d) -0.7 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one ninth of a day?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-29)*(-9)\/(243\/(-18))?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2827042 - 4*o + 1413526 + 1413516 - 4*o.\nAnswer: -8*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 4*q + 6 = -3*v, 11 = 5*q - 2*v. Let n(y) = 8*y**3 - 2*y**2 + 1. What is the units digit of n(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -4*r - 1. Let g(a) = 1. Let v(j) = -d(j) + 3*g(j). Let i be v(-2). Does 6 divide 3 + i + (1 - 4) - -100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of 1 + 5\/24*k**4 - 2\/3*k**3 + 0*k - 1\/60*k**5 + 1\/2*k**2. Let o(q) be the second derivative of s(q). Give o(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -3*a. Let x(d) = -6016874*d**2. Calculate x(c(v)).\nAnswer: -54151866*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) 0 (c) 0.001\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1105843 not equal to -1105835?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c**2 - c**2 - c**2)*(-c**3 - 3*c + 3*c) + 23*c**5 + 10*c**2 - 9*c**5 - 10*c**5 + (-3*c**3 + 0*c**3 + 2*c**3)*(2*c**2 + 5 - 5).\nAnswer: c**5 + 10*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128 = 3*m - 4*d, -5*m + 2*d + 175 = 3*d. Let q = m - 31. Suppose 2*i - 107 = -2*i + q*o, 0 = 4*i - 3*o - 109. List the prime factors of i.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-322)\/(-10) - 9\/45. Suppose 178 - 53 = 5*h + 3*k, 0 = 5*h - 4*k - 160. Calculate the greatest common divisor of h and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1130729 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - 8) + 0 - -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 4*w + 38 = -11, 4*i + 5*w = 64. Suppose 206 = i*k - 14. Is 10 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssssdssvdvvdsvd. Give prob of sequence svd.\nAnswer: 8\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/24 and 101\/36?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**2 - 2*x + 11. Let i(h) = -3*h**2 - 3*h + 23. Let n(c) = -2*i(c) + 5*v(c). Suppose -2*g - 10 + 2 = 0, w - 14 = 2*g. Is 14 a factor of n(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 255378 = 9*q + 84*q. List the prime factors of q.\nAnswer: 2, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * -21.5\nAnswer: -6.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2\/9 (b) -4 (c) 0.1 (d) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 6*q. Suppose 4*p - 644 = -4*r, -3*r - 21*p = -20*p - 481. Suppose 0 = 4*m + 4*a - 652, 2 + 7 = 3*a. Let x(n) = n + m - r. Calculate l(x(s)).\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of b**5\/3 - 2*b**4\/3 + b**3\/9 + b**2\/3 - 53. Factor d(t).\nAnswer: t*(t - 1)**2*(5*t + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -191 - -755\/4. Let b = -2 + 4. Let p = j + b. Is p at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3952 is divided by 656?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1411988.3 from 4.\nAnswer: 1411992.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + sqrt(7)*-3 + 4 + 3)**2 + (2 + sqrt(847) - (sqrt(7) - 1*sqrt(63))).\nAnswer: -15*sqrt(7) + 79","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1965, -2312, -2683, -3090, -3545, -4060, -4647, -5318?\nAnswer: -6085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -180619, -2, 80 in decreasing order.\nAnswer: 80, -2, -180619","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 159004.466579 - 159219.466. Let d = 215 + u. Round d to four dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 33978122 and 14886?\nAnswer: 1654","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -90, 0.3, 25291, -0.11?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48 and 1296.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -206\/2461 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**3\/3 - 182*b**2 - 362*b - 542\/3.\nAnswer: -2*(b + 1)**2*(b + 271)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3005*s**2 + 14328*s**2 + 12261*s**2 - 8*s - 23*s**3.\nAnswer: -23*s**3 + 29594*s**2 - 8*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*1*(-100)\/(-60)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b**(1\/10)\/b*b*b)*b)**(-46)*((b*b**(-15))\/b)**(-30) assuming b is positive.\nAnswer: b**(2273\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 4*z = -30. Let y(c) = -2*c**3 - 16*c**2 - 2*c - 12. What is the remainder when z is divided by y(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2 + 8*a + 12. Give j(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2*a**3 - 2*a**2 - 2*a + 9. Let i be b(-5). Let j = i + -70. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 3 + sqrt(2057) + 3)**2 - (4*3*sqrt(170) - sqrt(170))\/sqrt(10)*4.\nAnswer: 44*sqrt(17) + 2073","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5124699206?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 7:01 AM?\nAnswer: 12:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2*t - 20. Let h be s(0). Let y be h + 16 - (-2 + (-3 - -14)). Suppose u - 3 = 4*a + 2, -5*u = -2*a - 25. Put -4, y, u in increasing order.\nAnswer: y, -4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -7, -12\/1217, 1\/6?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 21*q + 15. What is the tens digit of u(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7747409?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18*15\/225*-5?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -21873*-91.2\nAnswer: 1994817.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2350294 divided by 2?\nAnswer: 1175147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 10b97052 - -1?\nAnswer: 10b97053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = a - 730, -20*b + 730 = -15*b - a. Solve 0 = 42*s - b - 190 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 15*n**2 - 25*n - 95. What is the hundreds digit of u(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 - 23*w - 13. Let z be c(-10). Is 23 a factor of 2416\/18 - 26\/z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 4 - 2 = -2*m, 3*m + 5 = 4*u. Let k(d) = -31*d - 39. What is the units digit of k(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.1 - -3. Let v = -414 + 344. Let g = v - -3. Are u and g equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 16*n + 3. Let z be v(-2). Let g = z - -85. Suppose 2*a - 8 = -5*m + 68, 3*a + m - 88 = 0. Calculate the greatest common factor of a and g.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -6920, -4, -3, -345?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x - 20*x = 72. Calculate the common denominator of -139\/24 and -4 - (-623)\/70 - 4\/x.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 - 4. Let y(c) = 2*c + 4. Let j be y(-6). Let s be (m\/12)\/((-2)\/j). Calculate the greatest common factor of 14 and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 90 + -88. Let s(h) = -9 + n*h - 8 + 2 + 0. Let w(o) = -2*o**2. Calculate w(s(q)).\nAnswer: -8*q**2 + 120*q - 450","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**8)**29\/(r**(-3)*r*r**(1\/4)) assuming r is positive.\nAnswer: r**(1051\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1779*q + 1727*q - 832 for q.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/182 and 1\/12115.\nAnswer: 2204930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -159*r + 80*r + r**2 + 87*r - 78*r + 85*r.\nAnswer: r**2 + 15*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -20c916 (base 13) to base 7\nAnswer: -6356220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 - -1) + (-1 + -6 - -9). Are b and 2\/311 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fflllllllfff. Give prob of sequence fflf.\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7859*z + 7859*z - 16*z**2 + 2*z + 2*z**2 - 2*z + (0 + 0 - 2*z)*(0*z + z + z) to the form k*z + t + v*z**2 and give v.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are 205\/277 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {o: 1, i: 1, l: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 30 + 626515?\nAnswer: 626545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Solve 124*p = 68*p + 83*p + 1647 for p.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*b = 2*q + 18*b, -16 = 4*b for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -126\/5*i**3 + 192\/5*i**2 - 2*i**4 - 56\/5*i + 0 = 0.\nAnswer: -14, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -54\/35? (a) 2\/31 (b) 3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6 + 2\/(-2) + 0. Let b(o) = o**2 - 4*o - 3. Let v be b(z). Let n(q) = 5*q - v*q - 2*q + 9. What is n(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p\/p**0*p**(-5)*p)**(-13))**21 assuming p is positive.\nAnswer: p**546","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 901*d**2*p**2 - 19*d**2*p + 103*d**2 + 45*d*p**2 + d - 6165*p**2 + 5*p wrt d?\nAnswer: 1802*p**2 - 38*p + 206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -6*q**2 - 145*q + 286. Determine r(-27).\nAnswer: -173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*2*(-365)\/(-1752)*-12.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -h + 17, 4*d + 4 + 14 = -h. Solve 2*j - 6 = h for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16773 - -16773. What is the closest to 6 in a, -3, -4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18654339.\nAnswer: 3, 11, 565283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 117\/2 + 2\/(-4). Suppose -3*t - k = -j, 6*j - 236 = j - 3*t. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - g + 3 - g + (3 + 4 - 5)*(3 - 3 - 2*g) + (1 - g - 1)*(811 - 690 - 549) to x*g + t and give x.\nAnswer: 422","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 - 188*i + 8. Let p(h) = -2*h**2 - 187*h + 11. Determine -3*p(n) + 4*v(n).\nAnswer: 2*n**2 - 191*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + (-2 - -5 - -1) + -1. Suppose 5*c + 12 = 2*c. Let g = -1 - c. Solve 4*x = -t*q + 14, 4*q + g*x - 6 = 4*x for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/12*5*(-5)\/100?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 23*z. Let a(s) be the second derivative of 14*s**3 - 813*s. Determine a(m(x)).\nAnswer: 1932*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -2*p**2. Let x = 7 + -4. Let v = 24 - 21. Let j(b) = -b + x - v. What is t(j(i))?\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 190 - 194. What are the prime factors of (-887)\/(v\/22 + (-108)\/132)?\nAnswer: 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.06 - -0.94. Sort b, 2, 2\/13 in descending order.\nAnswer: 2, b, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k - 3*k + 4*k)*(-5 - 5*k**3 + 5 + (0 + 2 - 1)*(-3*k**3 + 5*k**3 - 4*k**3) - 3*k**3 - 2*k**3 + 2*k**3).\nAnswer: -10*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 13988 rounded to the nearest 100?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -193 - 179 + 372 + 22*r**2.\nAnswer: 22*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 80 and 125.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46804, -49369, -51934?\nAnswer: -54499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.23855 - -41.\nAnswer: 36.76145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 766 is divided by 113.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 - 16*z**2 - 52*z - 185. Determine n(-13).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 2*g = -14. Suppose -3*h + 8 = -g. What is the remainder when 28 is divided by h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 42, 0, 4, 3, 27, -572 in decreasing order.\nAnswer: 42, 27, 4, 3, 0, -5, -572","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66635017.\nAnswer: 66635017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1108 - -1110. Let t(n) = -3*n**2 - 10*n + 4. Let j be t(-4). Which is the smallest value? (a) 3 (b) x (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 100.398?\nAnswer: -97.398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 h when four letters picked without replacement from hhhhpphhhh?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + -10. Is 974*v*2\/(-12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 16) to base 13.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -7*a. Let b(w) = -48*w. What is 2*b(t) - 15*c(t)?\nAnswer: 9*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 588102*d*v - 4187*v + 2 wrt d.\nAnswer: 588102*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o + 182 - 382 = 0. Does 21 divide (-10)\/o - 398*14\/(-20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -68, -57, -30, 19, 96, 207?\nAnswer: 358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, d: 4, b: 1, j: 3}. What is prob of picking 4 d?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes after 6:34 AM?\nAnswer: 6:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 53? (a) 0.5 (b) -5 (c) -4\/5 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 9:20 AM?\nAnswer: 8:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3088.1769 rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.312 - 1.313427. Round b to 4 dps.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*w + 48 = -3*p, -476 = 14*w - 3*p - 509 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 32\/45933 or 0?\nAnswer: 32\/45933","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -d**3*q*y + 345*d**3*y + 28*d**2 - 7*d*q*y wrt d.\nAnswer: -6*q*y + 2070*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 - 9*h**2 - 7*h - 33. Suppose 1207 = 7*r + 1137. Let c be v(r). Round c to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1176863 to the power of 1\/2, to the nearest integer?\nAnswer: 1085","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 249?\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20565213 is divided by 909?\nAnswer: 906","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -222 = -h - 1324. Let a = 9929\/9 + h. What is the common denominator of 27\/(-10)*2 + 1 and a?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -43790 to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2*z**2 - 8*z + 9. Calculate the remainder when 64 is divided by n(6).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1753 < 1743?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -74329 + 0.1.\nAnswer: -74328.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -46, -1288, -3654, -7138, -11734, -17436, -24238?\n\"Answer: s**3 - 568*s**2 + 455*s + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 6*j**2 + 133*j - 14. Give u(-23).\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2*y + 6. Let h be d(-5). Let n be (1 - h) + 2\/(-1). Suppose 5*b - 12 = n*b. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2 + 17*g - 67. Let z be i(8). Sort -5, 1\/7, z.\nAnswer: -5, 1\/7, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -193641, -773483, -1739523, -3091761?\n\"Answer: -193099*d**2 - 545*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 2:42 PM?\nAnswer: 12:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/((-28)\/8))\/(-11)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -130 - -5?\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 6638073.3 to the nearest 100000.\nAnswer: 6600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 4:01 PM?\nAnswer: 1:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -669, -1967, -3935, -6609, -10025, -14219?\nAnswer: -19227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 12624165 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 12, 7, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 PM and 12:13 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 3*r. Let s(m) = m**2 + 9*m + 14*m**2 + 7*m**2 - 17*m**2. What is p(s(l))?\nAnswer: 15*l**2 + 27*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -7632*w**3 + 7*w**2 + 1. Let p be b(3). Round p to the nearest 10000.\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - -15. Let s = -8 - -5. Let c = t + s. Is 3 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.2, -2\/17, 54, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8)\/(-20)*(5 + 0). Let y be 6 + (-1)\/(0 - 4\/(-20)). Solve 1 = -3*k - 2*v - c*v, 0 = -v - y for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 + 2\/(2 - 0). Suppose 11 = 5*j + c. Is 2 >= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/30*6 + (-112)\/(-40). Suppose b*f - 5*f - 27 = 0. Which is greater: -8 or f?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -16 - (-4488)\/(-297) - 35\/9?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 44109152?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 134171 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 - 5*n**2 - 5*n + 2. Let b(w) = 2*w**2 - 4*w - 1. Let g be b(3). Suppose -18 = 2*h + g*m, -3*m = 5*h - 2*m + 22. Does 2 divide p(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7780 to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 86\/1376 - 49\/272. Put -323, -0.1, z, 0.2 in decreasing order.\nAnswer: 0.2, -0.1, z, -323","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 489717.\nAnswer: 3, 54413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 + f + 1. Let h(r) = -6*r**2 - 12*r - 12. Let v = -156 - -144. What is v*q(y) - h(y)?\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1177034?\nAnswer: 2, 588517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 5 + 10*g + (0 + 0 - g)*(-3 + 4 - 2) + 0*g + 7*g + 2*g)*(3 + 2 - 1) as l*g + q and give l.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -54610 times -0.3\nAnswer: 16383","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 3*i + 28, 3*i = -4*k + 22 + 28. Calculate the remainder when k is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of -m**8\/6720 + m**6\/720 - m**4\/96 - 17*m**3\/6 - 8*m**2. Let z(i) be the first derivative of u(i). Solve z(l) = 0 for l.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 19\/4 of a hour?\nAnswer: 17100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/4 - (-17)\/(-2). Let l(s) = -s**3 - 9*s**2 + s + 12. Let t be l(x). Calculate the remainder when (-304)\/(-12) - 1\/t is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9182 = -1028*r + 8670 + 59108 for r.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 6*w - 11. Let i(y) = 7*y - 12. Let m(a) = 5*g(a) - 4*i(a). Let b(c) = -2*c + 8. Suppose 22 = -5*h - 8. What is h*m(r) - 5*b(r)?\nAnswer: -2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + 7 - -14 - -1 - 41?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2419*f**5 + 61*f - 9?\nAnswer: -48380*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 3*r - 3 = 0, 0*j - 2*r + 6 = 4*j. Suppose 0 = j*i + 3*i - 24. What is the first derivative of 0*n**2 + 4*n**2 - i - 3 wrt n?\nAnswer: 8*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 2*h = -14, 3*b - 2*h + 50 = -2*b. Let q = -6 - b. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -265153 + 2?\nAnswer: -265151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 977753945?\nAnswer: 5, 7, 27935827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1\/24 + -5\/8. What is the closest to -3 in 4, -2, p?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in three fifths of a milligram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2 - 3*h + 5. Let l be t(3). Suppose -l*n = -6 - 4. Let b(w) = -9*w - 2. Let m be b(-2). Solve -m = -4*f - 0*f + 3*g, 0 = -3*f + n*g + 12 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 372 = j + z, -4*j + 600 = z - 882. Is 10 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/(-4) - 63\/(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + -3220212?\nAnswer: -3220217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -132.07 - -131.97. Which is smaller: y or 2\/5601?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 309758 is divided by 77367.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5974 - 19*h + 5968 + 66*h.\nAnswer: 47*h - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -31, 0, 2\/3, 0.28, -1, 0.5?\nAnswer: 0.28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -60.\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 8*o + 413. Let j(q) = 5*q + 206. Let r(u) = 5*j(u) - 2*k(u). What is the derivative of r(d) wrt d?\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 1) + -6 + 9\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 615608?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/9 + 2 + (-60)\/27. Solve -2*c - r - 1 = u, -3*r + 30 = -c - 4*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 221508.8 grams to milligrams.\nAnswer: 221508800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-70*z - 4665 + 4665)*(-2*z**2 + z**2 + 4*z**2 + 2) to the form g*z + j*z**3 + y*z**2 + x and give g.\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 7 + 3)*(107*p + 97*p - 13 - 213*p).\nAnswer: -63*p - 91","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of 31*d**7 - 41*d**4\/12 + d**2 - d + 409. Find the third derivative of c(p) wrt p.\nAnswer: 78120*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14660022 or -14660023?\nAnswer: -14660023","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*z + 16*z = 99. Suppose d - 1 = -c + z, 2*d - 73 = 3*c. Calculate the remainder when 277 is divided by d.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1537602, -3075277, -4613014, -6150813, -7688674?\n\"Answer: -31*q**2 - 1537582*q + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 5*y = 2, -4*p + 18 = -5*y. Let d(o) be the first derivative of 0*o**2 - 2\/39*o**3 + 2\/13*o - p. Determine f, given that d(f) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13803747?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 294763490?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4753 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-144)*-8)\/(5\/(-2)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -4*o. Let q be (-2)\/(-8)*0 + 3 + -1. Let k(g) = g - q*g + g - 13*g**2. What is k(h(y))?\nAnswer: -208*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 + z**2 + z + 4. Let q be c(0). Suppose q*i - 2*i = 34. Calculate the greatest common factor of i and 153.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 2*r - h + 1 = 0, h = -2*r - 3. Let o(n) = -5*n - 1. Let g be o(-4). Let b be 3\/r - g\/(-4). What is the highest common divisor of b and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xl when two letters picked without replacement from hhhhhlhhhxlhx?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of 13*y**6\/120 + 11*y**3\/6 + 3*y**2. Differentiate u(a) wrt a.\nAnswer: 39*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - m - 28 = 2*q, 4*q + 39 = -m. Let o(c) = -5*c - 6. Let v(t) = 9*t + 11. Let i(j) = q*o(j) - 6*v(j). Let u(g) = -2*g**2. Calculate u(i(f)).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.035 + -0.113. Round s to two dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - 17b?\nAnswer: -180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-32)\/(-418) + (2 - 3)*(-10)\/95. Sort -1, 0.1, 4, -2\/5, p in ascending order.\nAnswer: -1, -2\/5, 0.1, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1067.093 millilitres in litres?\nAnswer: 1.067093","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, -4, -58, 4, 2 in descending order.\nAnswer: 4, 2, -1, -3, -4, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 324.4526 millennia to decades.\nAnswer: 32445.26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of 1 - 3*q**4 + 0*q**3 + 0*q**2 + q + 77\/20*q**5. Find the third derivative of x(k) wrt k.\nAnswer: 462","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1107, 1412, 1717, 2022, 2327, 2632?\nAnswer: 2937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 - 2*m - 7. Let o be 4\/((-7)\/(63\/6)). What is the remainder when i(o) is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a (base 12) to base 7.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -4*j**3 + j**2 + 51 - j + 10*j**3 - 5*j**3. Does 19 divide y(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -6*w**2 - 12*w. Let z(j) = 2*j**2. Calculate p(z(x)).\nAnswer: -24*x**4 - 24*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**6)\/z**(2\/3))**(-22) assuming z is positive.\nAnswer: z**(374\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -32045, -64089, -96129, -128165, -160197, -192225?\n\"Answer: 2*c**2 - 32050*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-3*sqrt(171) + sqrt(171)) - sqrt(1539)*3*-4)**2.\nAnswer: 134064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 0, 11, 44, 111, 224, 395, 636?\n\"Answer: 2*q**3 - q**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/4)\/((-25)\/(-75)) + -1.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3545479?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -28\/265 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -83809 (base 10) in base 6?\nAnswer: -1444001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1850\/3 + ((-400)\/(-30) - 14) is divided by 306?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 5*g**3 + g**2 - g + 1. Let k be h(1). Let u(s) = -s**2 + 10*s - 5. Is u(k) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5\/7 (b) 1\/2 (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -12) + 0 + 0.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 85893297 and 52290.\nAnswer: 1743","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -5*x - 2. Let g be w(-19). Suppose -5*d = -14 - 11. Suppose 0 = -d*m - 3*t + g, -4*t + 37 = 5*m - 57. Is m a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(144))\/(3*(sqrt(8) + -2*sqrt(8)) + sqrt(8) + sqrt(8)) + 2*(sqrt(2) + 2*sqrt(98))*3)**2.\nAnswer: 17298","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from teedpeehhd. What is prob of picking 2 d?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -154.6 + -794\nAnswer: -948.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**3\/2 + 53*t**2\/2 - 11*t.\nAnswer: t*(t + 11)*(5*t - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*w**2 - 2*w - 55*w**2 + 120*w**2.\nAnswer: 8*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2982048259 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -406718500 take away -319?\nAnswer: -406718181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 1, -1278, 0.1.\nAnswer: -1278, 0.1, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4337.475 millimeters to kilometers.\nAnswer: 0.004337475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1 + -0.1. Let z = p + 0.5. Which is the biggest value? (a) z (b) -4\/3 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 111 - 75. Is 16 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - x = -a - 31, -5*x = 2*a + 65. Let s be (5\/a)\/(12\/(-28)). What is the closest to -1 in 3\/5, 0.2, s?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*n = -f + 206*n - 893, -2*f - 2*n + 14 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -12, -2, 7, 3, -149851 in descending order.\nAnswer: 7, 3, 1, -2, -12, -149851","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7685 in -0.3, 0, 72?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -11291377.\nAnswer: 4\/11291377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10140 or 10139?\nAnswer: 10139","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -12*n**2 + 9*n - 9. Let k(b) = -58*b + 60*b - 1 - 1 - b**2 - 2*b**2. Give -9*k(v) + 2*o(v).\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.06 + -4. Let u = y - 0.16. Let k be 1\/(-4)*48\/90. Sort 4, u, k in descending order.\nAnswer: 4, u, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 412462?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, -12220 in ascending order.\nAnswer: -12220, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.10174? (a) 2 (b) 0.3 (c) 3 (d) -0.4 (e) 3\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 40918785?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -5*o + 6. Let r(k) = -4*k + 5. Let u(b) = -5*j(b) + 6*r(b). Let h(w) be the first derivative of 2*w**2 - 2. Give h(u(m)).\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*k**5 - 15324*k**4 + 92030*k**3 + 107352*k**2 = 0. What is k?\nAnswer: -7668, -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -144*z**2 - 140*z**2 + 413*z**2 - 127*z**2 + z**3 - 2 - z + z**4 to the form g*z**3 + u + j*z**4 + k*z**2 + h*z and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sddd when four letters picked without replacement from spppppddsspdpppdpsp?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 8596862633 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 729637 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4897\/4 + 1224. Let m be (-2)\/2*(-6)\/10. What is the nearest to 1 in m, 3\/2, s?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.749731 rounded to 2 dps?\nAnswer: 20.75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of 176*f**4 - 7709*f**3\/6 - 10593*f**2. What is the derivative of p(v) wrt v?\nAnswer: 4224","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -21*g**2 - 1. Let v(t) = 16*t**2 + 28*t. Let w(c) = -6*c**2 - 10*c. Let p(b) = 5*v(b) + 14*w(b). What is 11*p(i) - 2*q(i)?\nAnswer: -2*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25140 and 26520?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17221 and 31501?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 9:09 PM?\nAnswer: 4:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.25 - 9.75. Let c = s - -10.009. Round c to three dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q**3\/4 - 85*q**2\/4 - 2333*q\/4 - 2247\/4 = 0. Calculate q.\nAnswer: -21, -1, 107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3120 + -132405?\nAnswer: -135525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 2*i - 51. Determine p(20).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(-5) + 7 + 76\/(-10). Let a(h) = h - 4. Let l be a(6). Let v(c) = 5 + w - 4 + l - 2*c. Let j(x) = 4*x - 5. Calculate -6*j(b) - 10*v(b).\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 224 and 33380816?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 119, 108, 97?\n\"Answer: -11*r + 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2 from -0.48642633.\nAnswer: 1.51357367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 120778821 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3 and 69.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 16 = -g. What is the third biggest value in g, 2, 0.12?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 117*t + 711. Calculate b(-11).\nAnswer: -576","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of -3*r**5\/10 - 9*r**4 - 45*r**3\/2 - 33*r**2\/2 + 1109. Let p(b) = 0. Calculate b.\nAnswer: -22, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*n**3\/7 + 696*n**2\/7 + 6*n\/7 - 696\/7.\nAnswer: -6*(n - 116)*(n - 1)*(n + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103*t = 805649 - 800911 for t.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/4 of a litre in millilitres?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bvpvdpbbbbb. What is prob of picking 1 d and 2 b?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4702868?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 82 + 7 + -6 + -3 + 5 + 0\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -331*d + 5683 + 4 - 665 = -889*d for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 5*q + 13, -3*i + 3*q = -2*i - 5. Let k(f) = -19 + 11*f - i*f**2 + 8 + 48*f**2. Let c(m) = 7*m**2 + 2*m - 2. What is 11*c(o) - 2*k(o)?\nAnswer: 9*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6744.7 + -6745. Which is smaller: -655 or o?\nAnswer: -655","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/10*((-19120)\/(-32))\/239?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 6*j**2 - 147*j + 82. Let o be g(24). Solve 18*y - 16*y = -o for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 26431*w - 158427. Determine u(6).\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 74 divided by 1?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -4*u - 327. Let d be a(-81). Sort d, -7, 4.\nAnswer: -7, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -68550159 - -0.4.\nAnswer: -68550158.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 6921.7 to the nearest 10.\nAnswer: 6920","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 19 in -0.4, -2, 1665392?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1062012 is divided by 7481?\nAnswer: 7191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/5 + (-527)\/850 and 91\/4?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*(8\/(-20) + 6\/(-10))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 198.8 rounded to the nearest 10?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1555 + -5?\nAnswer: -1562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 321 = 3*o - x, 0 = 4*o - 2*x - 398. Let n = -68 + o. What is the remainder when 126 is divided by n?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83373151 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 814 + -1220. Calculate the common denominator of (5 + -1)\/(252\/b) and 89\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*u + 17*u - 110 + 248 = 0 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 a when two letters picked without replacement from qaidlidiqlilaidli?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of -j**6\/120 - j**5\/60 - j**4\/24 - j**3\/6 - 2*j**2 - 11*j. Let x(z) = -4*z**3 - 2*z**2 - 2*z - 2. Determine 2*m(t) - x(t).\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 - 272*l + 1858. Let v be g(7). Which is the closest to v? (a) 1\/10 (b) -0.07 (c) -0.3 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3d + -5?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -2*i**3 - 22*i**2 - 25*i + 40. Calculate the least common multiple of v(-10) and 75.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*(990\/(-33))\/(-1080)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13\/3026 - -54377\/21182. Factor 3\/7*x**3 + 0 - z*x**2 - 3*x.\nAnswer: 3*x*(x - 7)*(x + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 128 and 10733728?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-1\/5)*h)\/h*h)\/(h*(h*h*h*h*h\/h**(-10)*h*h*h)\/h))**(11\/4)*(((h\/h**(-4))\/h)\/h**4)**(-1\/4) assuming h is positive.\nAnswer: h**(-473\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 3, 1, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 444*z**2 - 220*z**2 - 3 + 3*z - 219*z**2. Suppose -30*t = -35*t - 20. Let w(k) = 4*k**2 + 2*k - 2. Give t*w(g) + 3*q(g).\nAnswer: -g**2 + g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 + 7*z**3 - 3\/4*z**2 - 5\/4*z**4 - 14*z = 0 for z.\nAnswer: -1, -2\/5, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2320, 18549, 62600, 148381, 289800, 500765, 795184, 1186965?\nAnswer: 1690016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 3*y = -0*d - 9, 4*d - 3*y - 24 = 0. Suppose -c - d = -8. What is the third derivative of 15*a**2 + 13*a**c - 13*a**5 - 2*a**6 - 2*a**6 wrt a?\nAnswer: -480*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24 + 24. Suppose j*u + 4*u = 4. Find the common denominator of 43\/12 and ((-13)\/(-208))\/(u\/(-41)).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(272) + 2.\nAnswer: -2 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 5*w + 3425, y - 3*w + 5190 = 4*y. Suppose 0 = 4*z, 3*z = -5*p - 0*z + y. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12553114 divided by 216433.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 - 0 - (-4)\/1. Suppose c - 2 = -3*c + 3*i, 3*c + i = -5. Let d be (v\/(-2))\/c - -5. Solve 0 = 2*f - r + d, 5*f + r - 2*r = -9 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133) - -2*sqrt(133)*3)\/(sqrt(63)\/(2*sqrt(9))).\nAnswer: 14*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(468) - (sqrt(468) + -1)) + 2)**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + (0 - -5) + 0. Let u be (-1 + 142\/71)*(-18)\/(-10). Let 0 - 3\/5*l - 3\/5*l**b - 9\/5*l**3 - u*l**2 = 0. Calculate l.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -ca4 (base 13) to base 16.\nAnswer: -872","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.6 less than -582450?\nAnswer: -582448.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/23? (a) -5 (b) 0.5 (c) 12 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2\/3)*h)**(23\/2))**(-40) assuming h is positive.\nAnswer: h**(-460\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = -4*k + 10, 0 = -30*k + 16*k + 18*k - 18*o + 116 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 divided by -210?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 210438?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 76 + -64. Let d be 4\/14 + 1\/7*w. Solve -5*j - 23 = -d*h, j - 2*h + 19 = 2*h for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 130\/(-39) + 840\/9. What is the greatest common divisor of v and 315?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 6*i**2 - 5*i + 2. Let d(o) = o**2 - o + 1. Give 5*d(k) - t(k).\nAnswer: -k**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 + -3 - (1 + -6) - 9. Let w(z) = z**3 + 10*z**2 + 9*z + 8. What is w(g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -421*v - 218*v + 872*v + (0 + 1 - 2)*(6*v - v - 3*v) to y*v + q and give y.\nAnswer: 231","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 3*a**2 - 92*a - 1433. Let o be k(-16). Is 802 smaller than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-15 + 4 + 6)*(-18*r + r - 12*r)*(2 + 1 - 4)*(-3*r + 2 - 17*r + 0*r) in the form c + v*r + y*r**2 and give v.\nAnswer: -290","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -6*h**2 - 2*h - 1. Suppose i + 3*t = -13, 0*i - i = -3*t - 11. What is d(i)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q**4\/3 + 352*q**3\/3 - 60808*q**2\/3 + 396416*q\/3 - 92800 = 0. Calculate q.\nAnswer: -100, 4\/5, 6, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4957517 rounded to one decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-15)\/(-9) - (-5)\/15. Suppose -3*w = 4*m + 28, l*m + 1 + 3 = -4*w. Is (-2)\/m + 11788\/35 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 9 = 5*a, 0 = -a + 6*a + 3*p - 37 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 56? (a) 5 (b) -1 (c) 3\/4 (d) -1\/2 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -17*d. Suppose 4*g + 4*s + 20 = 0, 6*s - 28 = 4*g + 2*s. Let c be q(g). Let r = c + -71. Does 21 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -449.71 - -314163400.\nAnswer: 314162950.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 - 7*u**2 + 2*u - 12. Suppose 0 = 17*d - 16*d - 7. Let f be g(d). Suppose 0 = y - f*y + 3*s - 1, -5*s = -4*y + 3. Solve 0*o + y = -o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -10 + 338?\nAnswer: 328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 PM and 3:22 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {g: 3, s: 4}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + 1 + 19 + (-48)\/12. Solve -3*m - h = x - 0*m, -4*x - m - 16 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -4 (b) -2 (c) -45 (d) 1540\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 34df87 (base 16) in base 4?\nAnswer: 31031332013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (439\/(-3))\/((-24)\/18). Let m = x + -859\/8. Calculate the common denominator of m and (-2)\/6 + 490\/(-96).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (((-3*sqrt(1539) - sqrt(1539)) + sqrt(1539))*6 - (sqrt(1539)*-2 + 2)).\nAnswer: -144*sqrt(19) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39\/(-312)*64\/(-56).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine quarters of a litre in millilitres?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5.85 * 0.39.\nAnswer: 2.2815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 282922, 282923, 282924, 282925, 282926, 282927?\nAnswer: 282928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 8185397 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*s - 356 + 1513. Let g = s - 81. What is the greatest common divisor of g and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 6 = -3*m. Let d(q) = 4*q**4 + 9*q**3 + 7*q**2 - 2. Let t(k) = k**4 + k**3 - k - 1. Let a(n) = m*t(n) - d(n). Let a(y) = 0. What is y?\nAnswer: -2, -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 673415, -108 in descending order.\nAnswer: 673415, -5, -108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9021*l**2*n + 2*l**2 - 741*l*n + 3*l + 7*n wrt l.\nAnswer: 18042*n + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 352 - -21431?\nAnswer: 22223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/(-6))\/(2\/(-15)). Let h(t) = -t**2 - 4*t + 7. Let c be h(g). Solve c = x - 2 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -5 - 2*x + 5*x**3 + 7*x**2 + 0 + 8. Let t(i) = -4*i**3 - 7*i**2 + 2*i - 3. Let y(u) = -3*m(u) - 4*t(u). Is 5 a factor of y(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 5 + (-2 - 0).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 7168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of -7\/4*o**4 + 4\/3*o**3 - 85 + 2*o**2 + 0*o. Let j(n) = 22*n**3 - 11*n**2 - 11*n. Give -4*j(t) - 11*r(t).\nAnswer: -11*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 + 6\/(3 + 0). Let l be -4 - (96\/(-40))\/((-2)\/t). Are -13 and l unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8\/5)\/((-74)\/(-185))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 698597.5um?\nAnswer: 69.85975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -202 - -207. What is the biggest value in -1\/2, -46, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252) + 1 + sqrt(252) + 2)*4 + 3)**2.\nAnswer: 1440*sqrt(7) + 16353","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 3*y + 38. Let o be k(-16). Let i = 13 + o. Let v(a) = a + 2. Determine v(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - -1787.5\nAnswer: 1783.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -3*v**2 - 95*v + 1376. Calculate d(26).\nAnswer: -3122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-132)\/110*10\/(-9))\/(6*7\/(-1449)).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 7*w + 92. Give a(-36).\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kddk. Give prob of picking 1 d and 2 k.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 132522 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 35 - 12. Suppose 2*g + 2*g + x = -5*b, 12 = -4*b. Is 2388\/16 + g\/8 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.5677033 rounded to three dps?\nAnswer: -2.568","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/(-6))\/(6\/45). Suppose j*i + 4*b = i - 16, -6 = 4*i + 2*b. What is the tens digit of (117\/27)\/(i\/6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2*185\/50 + 3\/5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 281, 1104, 2471, 4382, 6837, 9836?\n\"Answer: 272*g**2 + 7*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + -20. Let i = r - -26. Calculate the least common multiple of i and 7.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + -429?\nAnswer: -433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1305\/145 - (-1 - 5)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 40729?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7423.8 + -7424. Let y = 0.05 - 0.65. Let p = y + 0.1. Which is the nearest to -3? (a) p (b) 3\/5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 179.55942 rounded to the nearest 10?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-2\/7))**(-40))**(-33\/4)\/((((b\/b**5)\/b)\/b**(3\/10))\/(b**2)**32) assuming b is positive.\nAnswer: b**(21351\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*n**2 - 3*n**2 + 856 - 10*n - 856 to the form f + o*n**2 + x*n and give x.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 - -16. Calculate the highest common factor of d and 56.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 262361 is divided by 2428?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/32*196\/(-21).\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 4:36 PM?\nAnswer: 12:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 351 (b) -0.168 (c) -1\/10 (d) 1\/5 (e) -4 (f) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 356?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.76 times -4\nAnswer: 3.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131 is divided by 39?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 6*y + 48. Let x be (8361 + 2)\/(-1 + y). Let b = -756 + x. Calculate the common denominator of 83\/10 and b.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11*(-16)\/(-88) + 831 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27293 and 6419.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 5*j = -12. Let c be (-2)\/(-8) - (j - (-714)\/296). Which is bigger: 0 or c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 + (-365)\/(-280) - (-1)\/8. What is the second biggest value in 15, 2\/11, h?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 253\/16 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 75 and 850800?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 0 - (143 + -143)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19 - -33. Suppose 5*l + n = 24. Suppose -230 = -5*s - 2*g, -4*s + l*g + 212 = -2*g. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 - 39*n**2 - 32*n + 3904. What is w(37)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, m: 6, c: 3, n: 2, p: 2, e: 2}. What is prob of sequence ini?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -2*y**2 + 6*y. Let v(c) = -3*c - 2*c + 0 + 0 + 2*c**2. Let k be 108\/(-36)*34\/(1 - 3). Suppose -x - 45 + k = 0. Calculate x*v(b) + 5*g(b).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -607284*p**3 + 649518*p**2 wrt p?\nAnswer: -3643704","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of -10*a**2 + 1\/120*a**6 - 1\/20*a**5 + 0 + 0*a + 5\/6*a**3 + 0*a**4. Let v(k) be the first derivative of p(k). Factor v(y).\nAnswer: 3*y*(y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8291120 divided by -4880.\nAnswer: -1699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d - 7049 + 31669. Suppose -m + v = -1643, -3*m + 0*v = 2*v - d. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 3) to base 2\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 3*c = 4, c + 10 + 0 = 4*v. Suppose 0 = -v*p + p. Suppose p = 2*n - 0*n - 98. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 132339937?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 - 13 = 2*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2789 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 756 and 14427?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*m**3\/2 + 27*m**2\/4 + 123*m\/4 + 45\/2 = 0. What is m?\nAnswer: -2, -1, 15\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2717 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(-15)*(16 + -1). Solve -h*n + 3*n - 9 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3579289729 to the power of 1\/2, to the nearest integer?\nAnswer: 59827","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 444988793 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-5 + 5*(sqrt(500) + ((sqrt(500)*1 - sqrt(500))*-6)**2)).\nAnswer: -10 + 100*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 8*o**3 + 6*o**2 - 5*o - 6. Suppose 39*d = 36*d + 21. Let r(u) = 7 - 2 - 6*u**2 + 39*u + u**2 - 35*u - d*u**3. Give -6*r(l) - 5*s(l).\nAnswer: 2*l**3 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -487.1303.\nAnswer: -97.42606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve b**5\/4 + 21*b**4\/2 - 283*b**3\/4 + 60*b**2 = 0.\nAnswer: -48, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -179 - -0.23.\nAnswer: -178.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 4 + 18*n - 3*n**2 + 0*n**2 + 5*n**2 - n**2. Let h be k(-18). Let c(z) be the second derivative of z**4\/12 - 2*z**3\/3 - z. Determine c(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1754.\nAnswer: 2, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6602 + 6605. Let q(y) be the second derivative of 90*y**2 + 0 + 10*y**a + 5\/12*y**4 + 3*y. Factor q(j).\nAnswer: 5*(j + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -5*f**2 - 14 + 2*f**3 - 3*f**3 + 7. Calculate t(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 4*m - 8 = 0, 3*m + 8 = 5*z - 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -428, -1034, -1674, -2348?\n\"Answer: -17*y**2 - 555*y + 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2587 to 2 dps.\nAnswer: -0.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of u**6\/60 - 11*u**5\/60 + 3*u**4\/8 + u**3\/2 + 3*u**2. Let g be q(7). Suppose 0 = -10*m + 13*m - g. Does 31 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1137 in -1178, -2, -2\/3, 5, -1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 186.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(5*sqrt(27)*1 + 0))**2.\nAnswer: 16875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 - 31*y - 131. Let v be q(-25). Solve 3*p + 3*c - 15 = 0, -5*p + 2*c = 1 - v for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-5)*-23 - -4?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 - 96 = -19*v. Suppose u = -3*q + v, -q = 4*u - 9*u - 1. What is the second smallest value in 0.5, u, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-24 - 30 - -61).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 112 = -1085*o + 1088*o, 0 = -4*o - 3*w - 131 for o.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 2*j**2 + 2. Let g(s) = s**3 - s**2 + s - 1. Let z = 72 - 73. Calculate z*x(a) - 2*g(a).\nAnswer: -2*a**3 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b. Let m(i) = 472*i + 443*i - 4 + 4 - 822*i. Calculate l(m(a)).\nAnswer: 93*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 146 a factor of 168338?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -5*o**3 + 12*o**2 + 26*o - 342. Determine n(-8).\nAnswer: 2778","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 24 - 22. Suppose 4*j - 4*k - 17 = -9*k, 2 = b*k. Solve f - j*f + 10 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 AM and 10:36 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -43004222 (base 7) to base 14\nAnswer: -6ad949","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -350 or -359?\nAnswer: -350","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13107?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 62 - 77.5. Let n = y - -16. Which is the closest to -6? (a) 1\/3 (b) -4 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 + 4*f**2 + f - 3. Suppose 13 = -o - 2*o - t, t = 2*o + 2. Let r be s(o). What is the second derivative of 3*m**4 + m - m + r*m wrt m?\nAnswer: 36*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of g**6\/10 - g**3\/2 + 8*g. What is the second derivative of m(c) wrt c?\nAnswer: 36*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 10\/9 (b) -0.033 (c) -0.3 (d) -0.4 (e) 2\/25 (f) -2\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 68529 and -6.363?\nAnswer: -436050.027","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 20*g + 17. Let w(z) = -7*z - 6. Let u(c) = -6*r(c) - 17*w(c). Let t(b) = 3*b + 769. Let k(i) = t(i) - 6*u(i). Is k(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*l + 44*l = -342*l + 9847000. What is the tens digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 330\/(-40)*126\/(-252).\nAnswer: 33\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*p - 2*p + p + (4 - 2 - 4)*(-1 + 2*p + 1) + (1 - 2 + 0)*(-2*p + 0 + 0) - 3 - 3*p + 3 + (-1 + 2*p + 1)*(-1 - 4 + 2) + 1 - 2*p - 1.\nAnswer: -11*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 49\/5 of a kilogram?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (2 + -1 + (-18 - -13))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zrxjkxkzckzzzrk. What is prob of picking 1 x and 1 c?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 - 65*c**2 + 285*c - 41. Calculate t(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 99682 or 100593?\nAnswer: 100593","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 9}. Give prob of picking 3 s.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 214 - 1502\/7. Sort 5, p, -11 in decreasing order.\nAnswer: 5, p, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (57*z - 11*z**4 - 57*z)*(7998 - 1911 + 4883 - 1936 + 5662) to k + n*z**3 + j*z + m*z**4 + f*z**2 and give m.\nAnswer: -161656","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t. Let c(y) = -14*y**2 - 237*y - 16. Let n(k) = -5*k**2 - 79*k - 6. Let h = 125 - 133. Let a(u) = h*n(u) + 3*c(u). Determine a(r(s)).\nAnswer: -2*s**2 - 79*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -2*i**2 + 33*i + 8. Let j be b(17). Let m be (j - -13)*5\/4. Solve 0 = -6*u + 1 + m for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(11) - sqrt(22)\/sqrt(2)) + -3 + sqrt(11) + -2 + (sqrt(77) + sqrt(77) + 6*2*sqrt(77))\/(sqrt(77)\/(-1*sqrt(11) - sqrt(11))))*-5.\nAnswer: 25 + 135*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a + 8. Suppose -15 = -5*i + 9*g - 4*g, 3*i - g - 7 = 0. Suppose 2*b + 2 = 5*m - 4, -6 = 5*m + i*b. What is the units digit of t(m)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**2. Let y(j) be the second derivative of 1\/3*j**3 + 7\/3*j**4 - j + 108 + 0*j**2. Give u(y(h)).\nAnswer: 784*h**4 + 112*h**3 + 4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, 30, -90, 4, 26.\nAnswer: -90, -3, -1, 4, 26, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 15799412?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z + 2. Let n be f(2). What is the first derivative of 4*q**3 - 4 + 1 + n wrt q?\nAnswer: 12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 11*q**2 - 8*q - 23. What is the tens digit of j(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -41*g**2*j - 9*g**2 - 2*g - 1351*j - 2 wrt g?\nAnswer: -82*j - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 + 9*q - 28. Let m be p(-12). Let z(f) = 4*f - 17. Let x be z(m). What is the greatest common factor of 5 and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 + -39. Let l be (1 - x\/(-15))\/(1\/18). Let y = 95 + l. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/7)\/(8*(-375)\/1400)\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of 25*u**6\/6 + 10*u**5 - 130*u**4\/3 - 80*u**3 + 360*u**2 + 19*u. Let v(o) = 0. Calculate o.\nAnswer: -2, 6\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 762031, 1523149, 2284267, 3045385, 3806503?\nAnswer: 4567621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 9) to base 3\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 10*g - 4. Let w(d) = -5*d + 2. Give -2*m(o) - 5*w(o).\nAnswer: 5*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 - 2*g - 921. Let z(d) = -6*d. Determine i(z(a)).\nAnswer: 36*a**2 + 12*a - 921","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) -1\/9 (c) -1\/5 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 - 35 + 12 + (0 + 0 + 3)*(2 - 4 + 0))*(2*p**3 - 2*p**3 + 2*p**5).\nAnswer: -90*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 21*u**3 - u**2. Let h(l) = l**3 + 0*l**3 + 3*l**3. Suppose -10 = -9*i + 14*i. Suppose -5*k - 15 = -70. Determine i*j(y) + k*h(y).\nAnswer: 2*y**3 + 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 250151 * 28.\nAnswer: 7004228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(612) + 1 + sqrt(17))**2.\nAnswer: 14*sqrt(17) + 834","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1568 is divided by 510?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 592 and 12?\nAnswer: 1776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bnmbdbimmfmmb. Give prob of picking 1 f and 3 b.\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + 47 + -1 - (-2 - (-12 - (-9 - -3))).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -61 less than -68496417?\nAnswer: -68496356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-957)\/(-1595)*(-10)\/14*2\/3*-63\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -11 + (9 - -10 - -5). Solve -s*z = -17*z + 16 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -6*h - 233. What is y(0)?\nAnswer: -233","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -243 + 239 - (0 + 12 + -2)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32970 and 630.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 61, 64, 69, 76, 85?\n\"Answer: y**2 + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z**3 - 32138292*z**2 - 129108726584658*z = 0. What is z?\nAnswer: -8034573, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1 and 96.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15483, -11123, -6763, -2403?\nAnswer: 1957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of -x**6\/8 + 7*x**5\/60 - x**4\/12 + 109*x**2. Let k(f) = -7*f**3 + 3*f**2 - f. What is -7*k(d) + 3*n(d)?\nAnswer: 4*d**3 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 109873 and -166.\nAnswer: -18238918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10786692507 divided by -3.\nAnswer: -3595564169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 28 = -2*a, -3*a + 8 + 7 = 3*s. Suppose 17 + a = 5*z. Suppose -4*f + z*n = -29 - 8, 3*n = -15. Solve 2*g + 10 = -3*d + 5*d, f*d - 4*g = 16 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: (92\/(-30)*(-2031)\/(-2708))\/(7\/35)\nAnswer: -23\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -197*t + 2144 = -165*t. What is the greatest common divisor of 134 and t?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3+-0.078\nAnswer: -0.378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4555 - -4555.8. Sort 0.2, -5\/2, t, -77 in decreasing order.\nAnswer: t, 0.2, -5\/2, -77","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 6*g**4 - 4*g**3 + 16*g**2 + 4*g. Let a(d) = 6*d**4 - 3*d**3 + 16*d**2 + 3*d. Let t(m) = -4*a(m) + 3*k(m). Find the third derivative of t(b) wrt b.\nAnswer: -144*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21 + -20.94. Let f = 0.34 + x. Which is the second smallest value? (a) 3 (b) f (c) -0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5263015159 minus -0.4?\nAnswer: -0.1263015159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -14*v**5 + 163*v**4 + 152*v**2 - 4*v. Let g(z) = 3*z**5 - z**4 + z. Let r(f) = -4*g(f) - y(f). What is the third derivative of r(c) wrt c?\nAnswer: 120*c**2 - 3816*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 5*u - 3*x + 8*x, -5*u + 30 = -3*x. Let y be (u\/4)\/((-3)\/(-16)). Suppose 4*q - 2*q - y = 0. Calculate the remainder when 14 is divided by q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -274*n**2 + 288*n - 38*n**2 - 12*n**2 - 64 = 0.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25, -36, -47?\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**4 - 1 + 1)*(2 - 1 - 3) - 21*s**4 - 9*s**4 - 149*s**4.\nAnswer: -175*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 577125 less than or equal to 577120?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 1641*v**2 + 13*v - 2. Is 12 a factor of k(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 13263544*g*t**3 - 5029129*g wrt t?\nAnswer: 39790632*g*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 - 10*m**2 - 11*m + 8. Let d be y(-9). Suppose -10*c - d = -11*c. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5\/((-637)\/(-52) + -11). Let q be 6\/24 + (-38)\/(-8). Sort q, -18, y, -4.\nAnswer: -18, -4, y, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 257, 712, 1503, 2798, 4765, 7572?\nAnswer: 11387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 10*u - 75. Let d be s(11). Calculate the highest common divisor of d and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**0*k*k*k)**11*(k\/((k*k\/(k\/(k\/(k\/(k**(-2\/9)*k))*k)*k*k))\/k))\/k**(5\/3))\/((k**1)**(3\/5))**(11\/2) assuming k is positive.\nAnswer: k**(2633\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 11*x**2 + 3137*x - 264719 wrt x?\nAnswer: 22*x + 3137","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2535.1 + -2535. Which is the nearest to 0.1? (a) l (b) -0.19 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 214 - 374 = 40*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -38\/44865 and 19\/84564.\nAnswer: 421551540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 195 a factor of 138318765?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/5*l**3 + 1732\/5*l + 582\/5*l**2 + 1152\/5 = 0 for l.\nAnswer: -288, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -77 - -31?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 8869095089 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 5 = -2*a, q - 9*a = -7*a + 13. Solve q*p - f - 16 = 0, -22 = -4*p - f + 3*f for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 7.0073 kilograms?\nAnswer: 7007300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 3) to base 9\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 3*l**3 + l + 1. Let z(i) = 5*i**5 - 25*i**4 + 10*i**3 + 100*i**2 + 140*i + 20. Let t(d) = -20*p(d) + z(d). Determine g so that t(g) = 0.\nAnswer: -2, -1, 0, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (126\/504)\/(1\/8). Let p(f) be the first derivative of -27\/7*f - 7 + 15\/7*f**h - 1\/7*f**3. Let p(q) = 0. What is q?\nAnswer: 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*q - 4. Let u be -3*3\/(-9)*q. Let d(j) = -j + 1. Let i(p) = -2*p + 2. Let k(w) = -7*d(w) + 3*i(w). What is k(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g**2 + 2*g**2 + 4*g**2 + 3 + g**2 - 3 + (0 + 0 - 2*g)*(-g - g + 0*g) - 2*g**2 + 4*g**2 - g**2)*(479*g - 17826 + 17826).\nAnswer: 5748*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(30)*1*-3)\/sqrt(10))**2 + 4 + -1 + sqrt(432) + 3.\nAnswer: 12*sqrt(3) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the second derivative of 0*i**4 + 0 + 1\/6*i**3 - 3\/10*i**5 + 1\/2*i**2 + 5*i. What is the units digit of l(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -115772 divided by -14.\nAnswer: 57886\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-6)*((-600)\/16)\/25. Let 1\/3*d**3 + a - 1\/3*d - 2\/3*d**2 + 1\/6*d**4 = 0. What is d?\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*r - 4*r + 2*r)*(r + r**2 + 158*r**3 + 156*r**3 - 315*r**3).\nAnswer: -7*r**4 + 7*r**3 + 7*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f + 5, 2*f + 297 = g + 27. What is the remainder when g is divided by 34?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15120 = -18*f + 63*f. What is the greatest common divisor of 48 and f?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(56)\/(sqrt(80)\/(-1*sqrt(10))) + 6*(sqrt(448) - sqrt(7)) + 4)*-3*-3)**2*-2.\nAnswer: -1908846 - 53136*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*w = -3*z - 4*w - 36, 36 = -z - 4*w for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 divided by -153?\nAnswer: -38\/153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -85268, -170510, -255724, -340910, -426068, -511198?\n\"Answer: 14*h**2 - 85284*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, -3, 3\/2, -13.5 in ascending order.\nAnswer: -13.5, -3, 1\/4, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) -0.13 (c) 0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 420925041?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -3*d**3 - 2*d**2 - 4*d + 5. Let b be p(-2). Solve b = -v + 32 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.07391 - -2.89\nAnswer: 3.96391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -2*j**3 - 136*j**2 - 461*j - 21912. Determine c(-67).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.5379870199144 and 1.\nAnswer: 1.5379870199144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l**2 - 4*l**2 + 0*l**2 + (0*l + 2*l + 0*l)*(-3*l + 2*l - l) + l**2 + l**2 + 0*l**2 - 2*l**2 - 2*l + 2*l + (8*l + 25*l - 11*l)*(0*l + l - 3*l).\nAnswer: -52*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 276 and 782?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 125\/6426 and 55\/16452?\nAnswer: 5873364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -55*l**3 - 18*l - 8*l + 3584 - 3559 + 135*l**2 - 79*l = 0.\nAnswer: 5\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dzuu when four letters picked without replacement from {e: 3, u: 9, d: 5, z: 2}?\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.5916 != 29497?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 87 + -72 - 11 - (-1 + 3 + -27)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 + -3. Let f be 126\/45 - (-1)\/t. Let v(p) = -11*p - 7. Let q be v(-1). What is the second biggest value in -4\/5, f, q?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1605, -3241, -4897, -6579, -8293, -10045, -11841?\n\"Answer: -x**3 - 4*x**2 - 1617*x + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21000 and 595500?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30321522?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 768316751 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -91 + 93. Let n(v) = -13*v + 11*v + v**2 + h + v**2 - 1. What is n(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130504081 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*b + 3*b - 12*b - 2)*(-2*b**3 + 4*b**3 - b**3).\nAnswer: -17*b**4 - 2*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 244255 (base 7) in base 9?\nAnswer: 67317","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 384499 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*c**3*j*x**3 - 75*c**3*j + c**2*j*x + 3*c*j*x**3 + 2*j*x - 22*x**3 wrt c?\nAnswer: -18*j*x**3 - 450*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -19*t - 3*t**3 + 173 + 10*t**3 - 51 - 5*t**3 - t**3 wrt t.\nAnswer: 3*t**2 - 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1571 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6481 and -8946.\nAnswer: -57979026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 3*p = -0*h - 6, 5*h - p = -4 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 5 = -7. Let z(n) = -2*n**3 - 4*n**2 + 4*n + 2. Let b be z(q). Let u = b - 35. Is 9 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (160\/(-320))\/(1\/(-60)) and 29.\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 3*h = 2*w - 144, 2*h = 4. Let u = w - 43. Suppose -3*m + m = 4*o - 2242, u*o - 1664 = -5*m. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36 and 4122.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1146905l in millilitres?\nAnswer: 114.6905","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 256*i**5 + i**4 + 6*i**3 + 17018*i**2?\nAnswer: 15360*i**2 + 24*i + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(51)\/sqrt(3) - (sqrt(17) + sqrt(17) + sqrt(68)\/(sqrt(16)\/sqrt(4))))**2.\nAnswer: 1377","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -116*t + 72 + 68 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 AM and 1:29 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -260583, -259489, -258395, -257301?\nAnswer: -256207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 58 - 72. Let v = u - -15. Which is the smallest value? (a) -4 (b) -3 (c) v (d) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 163162 to the power of 1\/3, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3250d4 (base 14) to base 2.\nAnswer: -110100000000100010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -368*w - 8. Let q(j) = 376*j + 10. Let l(h) = 3*q(h) + 4*t(h). Let g(r) = -r**2. Give g(l(f)).\nAnswer: -118336*f**2 - 1376*f - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19 - 21.6. Let j = 2.5999981 + o. What is j rounded to 6 decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -i + 2. Suppose 4*r - 16 = -4*g, -16 = 2*g - 0*g - 4*r. What are the prime factors of (-4 + g)*(-2)\/i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.06 + 0.5. Let r = 2.56000139 + v. Round r to 7 dps.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (170\/(-52) - -3)*(-84)\/147. Let -4\/13*w**4 + 0 + 6\/13*w**3 - x*w**5 + 8\/13*w**2 - 8\/13*w = 0. What is w?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u. Let y(c) = -11*c. Let v(d) = 243*d. Let t(j) = 2*v(j) + 45*y(j). Suppose 8 = -224*l + 228*l. Give l*h(s) + t(s).\nAnswer: -7*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(3\/7)*(i*(i*i\/(i**(-19\/5)\/i))\/i)\/i*i)**(-14\/3) assuming i is positive.\nAnswer: i**(-506\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24726 is divided by 2743?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -116*t**3 + 3*t**2 - 97*t**3 + 51*t**3 + 0*t**2 - 179*t**3 as f*t**2 + k + z*t**3 + n*t and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 2*q + 14 = 18, -3*f - 3*q - 12 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence er when two letters picked without replacement from rreee.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - l - 1)*(-l - 2*l + 2*l)*(-1367*l - 2149 + 2149).\nAnswer: -1367*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 75270?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of -v**4\/4 - v**2\/2 + 128. Let t(i) = -300767*i**3 - 26934*i**2 - 808*i - 8. Let u(m) = 4*s(m) - t(m). Factor u(n).\nAnswer: (67*n + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 553*q = -557*q + 48, -2*l + 33 = -3*q for l.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -596 + 198 + 4*o**2 + 200 + 198.\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41740*x + 41731*x - s - 26 = 0, 0 = 5*s - 95 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 561665.\nAnswer: 5, 13, 8641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-8)\/28)\/(2\/(-42)*-3). Let i(d) = 44*d + 5*d - 53*d. Let m(w) be the first derivative of -w**2\/2 + w + 1. Determine k*m(l) + i(l).\nAnswer: -2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + -4. Let f be (2001 - w)\/(6\/45). What is f rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14195586 to the nearest integer?\nAnswer: 3768","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.557579 years?\nAnswer: 6.690948","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 210 = -3*i. Suppose 0 = x + 2*x + i. Let l = -26 - x. Does 22 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 3*p**3\/2 + 177*p**2\/2 + 87*p = 0.\nAnswer: -58, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w. Let r(m) be the third derivative of m**5\/6 + 17*m**4\/12 - 4*m**2 + 33*m. Calculate r(t(u)).\nAnswer: 10*u**2 - 34*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8227?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 47104 and 24610?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*z**2 + 13*z**2 - 97 + 6*z**2 - 28*z**2 - 124 in the form o*z + w*z**2 + g and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (9 - 1 - (-6 - (4 - 14)))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2*j**3 + 154*j**2 - 149*j + 483. Calculate b(-78).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141095 is divided by 110?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2639*o = 15353*o - 839002 - 132566 for o.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 53450338 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: Calculate the smallest common multiple of 48 and 696.\nAnswer: 1392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the third derivative of r**6\/300 + 3*r**5\/50 + 9*r**4\/20 + 9*r**3\/5 - 4*r**2. Suppose p(m) = 0. Calculate m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of -18*c**2 + 760. Let w(r) = 27*r + 34*r - 59*r. Determine w(d(l)).\nAnswer: -72*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 95*l**2 - 56325*l - 5930.\nAnswer: 5*(l - 593)*(19*l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 66\/(-363) + 17301\/(-11). Let r = g - -2646. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, -77, 14912, 5 in decreasing order.\nAnswer: 14912, 5, 0, -2, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2848 and 3204?\nAnswer: 25632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(125) - (sqrt(125)*-1 - sqrt(125))*2)*-6*1)**2 + -5 + (6*(-3 + 0 + sqrt(180)))**2.\nAnswer: -1296*sqrt(5) + 119299","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 0, -2, -16 in decreasing order.\nAnswer: 0, -2, -6, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6817\/5 - (-56)\/(-140)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 + 5*c**2 + 2*c - 2. Let o be j(-4). Let n be (o + -3 - 3)\/2. Solve 0 = -n*g - g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85.66296 centuries in decades?\nAnswer: 856.6296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 108.8 + -111.8. Sort 0.7, -2\/11, 1\/2, u, 5 in ascending order.\nAnswer: u, -2\/11, 1\/2, 0.7, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 PM and 4:53 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -10442529.999 less than 16150?\nAnswer: 10458679.999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*v + 2941 = 3*v + 2950. Let t = 97 + -863\/9. Which is the nearest to v? (a) t (b) -1\/11 (c) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-7)\/y*y**(-4\/15) assuming y is positive.\nAnswer: y**(-124\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*q**2 - 2052*q - 46208.\nAnswer: 4*(q + 19)*(5*q - 608)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 3*u - 2. Let h(m) = 3*m**2 + 13*m - 4. Let n(s) = 5*s**2 + 20*s - 6. Let d(j) = -8*h(j) + 5*n(j). What is 3*d(k) + 4*l(k)?\nAnswer: 3*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -39, -93, -195, -357, -591, -909, -1323?\n\"Answer: -2*i**3 - 12*i**2 - 4*i - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 122.8 or -6\/3913?\nAnswer: -6\/3913","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-5 + (-5 + sqrt(50) + sqrt(2) + sqrt(2) - sqrt(6)\/sqrt(3)*3)*1))**2.\nAnswer: -80*sqrt(2) + 132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 16289 (b) 1\/146 (c) -5 (d) 5 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**2 + 12820*o - 8217620.\nAnswer: -5*(o - 1282)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 179381 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 74 + -74. Suppose 0 = 3*c - 4*f - 5996, i = 5*c - 4*f - 9270 - 726. Let j be ((18\/(-4))\/3)\/((-150)\/c). Solve 3*g - j = -2*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -7, -2\/11, -104, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 + 29 - (17 + 9)) + (26 - 0).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -152020+-84\nAnswer: -152104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - j - 21 = -6*j, 0 = v + 5*j - 17. Suppose 3*g = -5*h - v, 2*h = 4*g - 0*h - 32. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 3*y**4\/7 - 3*y**3 - 237*y**2\/7 + 3*y + 234\/7 = 0.\nAnswer: -6, -1, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one quarters of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4 + -2 - 3\/2. Let z = -211 + 202. Let n be 8\/((z + 8)*2). Sort h, -7, n in descending order.\nAnswer: h, n, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 divided by 5?\nAnswer: -22\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + y)*(-81 - 14 + 18) + (2 - 3 + 3)*(-y + y - 2*y).\nAnswer: -81*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-20) + 13\/20 - (-6)\/(-18).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81*a**2 + 5*a + 63*a**2 - 67*a**2 + 4.\nAnswer: 77*a**2 + 5*a + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2*m**2 - 4. Let r be s(2). Suppose 4*h - 32 = -r*v, -3*h + 18 = -3*v + 24. Calculate the highest common divisor of 54 and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.125*8345.\nAnswer: -1043.125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-5))**29 assuming z is positive.\nAnswer: z**(-145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 0 - 1)*(-82*m + 343 - 343 + (m - m + 2*m)*(-3 - 2 + 7) - 2*m + 1 - 1) + 583 - 583 - 32*m to j*m + k and give j.\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-8)*y\/(y**(-5\/2)*y)*y\/(((y**4*y)\/y)\/y)*y**(3\/5))\/((y**2\/y)**(2\/89)\/(y**0)**(2\/53)) assuming y is positive.\nAnswer: y**(-6161\/890)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -74 in -1\/3, -0.2, 0.94, 3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 - a. Let u be s(-2). Let x = -9 - u. Let f be (x\/4)\/((-6)\/(-4)). Put -2\/7, 1\/3, f in increasing order.\nAnswer: f, -2\/7, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 2*n + 13 = 2*n, 32 = -4*i - 4*n. Put -0.07, 2, i in ascending order.\nAnswer: i, -0.07, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/2, 2\/7, -135, 3, -259\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 216060 and 72020?\nAnswer: 216060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 146684204*l**2 + 152936953.\nAnswer: 293368408*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/((4\/(-240))\/((-24)\/20)). Calculate the common denominator of -2*(-2)\/88*52 and 2 + ((-4)\/16 - 106\/k).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17 (base 14) to base 4.\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-5)\/(40\/(-116)) + (-2)\/(-4) and 24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.804 - 0.256. Let g = -2 - m. Let n = g + -1.06. Which is the third biggest value? (a) 1\/7 (b) n (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 17, 19, 35, 71, 133, 227, 359?\n\"Answer: w**3 + w**2 - 8*w + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 10:25 PM?\nAnswer: 4:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 321 is divided by 29.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kb when two letters picked without replacement from ykkkyyrrbr.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {p: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 441 = 3*l, -d = -2*l + l - 112. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5302 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, s: 1, c: 1, r: 2, j: 2, p: 1}. Give prob of sequence sj.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12102140210 + 10?\nAnswer: 12102140220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**3 - 18*c**2 - 30*c - 14.\nAnswer: -2*(c + 1)**2*(c + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1\/2))**(1\/13))**13*((x**(-2\/11)\/x)**1)**(-8\/3) assuming x is positive.\nAnswer: x**(175\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/7 bigger than 3\/92?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5.71? (a) -2\/3 (b) 0.1 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1762 divided by 1.\nAnswer: 1762","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 715632501?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 13*c + 123. What is f(-11)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 169639 and 611?\nAnswer: 103649429","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17347\/10 + 1737. Calculate the common denominator of -9\/100 and x.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 15\/4 of a millimeter?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 173*g - 8746 + 18334 - 9588.\nAnswer: 173*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1329110 and 22860692.\nAnswer: 114303460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -7*v + 2*v. Suppose -4*f + 67 = -4*s + 27, 2*s + 6 = 0. What is the lowest common multiple of v and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 + 4*c**2 - 18*c + 19. Determine p(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (26 - (-142)\/(-10)) + -12. Let p be (2\/(-5))\/(8\/(-120)). Put 0.03, 0.1, p, f in increasing order.\nAnswer: f, 0.03, 0.1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -114 + 118. Calculate the common denominator of -82\/33 and 1158\/(-2106) - j\/26.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1.29, 4, 27?\nAnswer: -1.29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -3*x + 7312046, 0 = -2*x + 4*y - 0*y + 4874716. Suppose 5*i + 430165 = x. Let l = 281437 - i. What is l rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 1278 = -4*g, 4*g = -5*b - 363 + 1638. Is 80 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5612 - -5417. Which is the second biggest value? (a) -6 (b) k (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 272652 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -2*m + 2*l, -5*m = -2*m + 2*l - 45. Differentiate 5*o - m + 16 - 15 - 31 wrt o.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -336*i + 5164 = 65*i - 2983*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a = 3679 - 3658. Solve a*y = 15*y + 12 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -4 + 0 + -8\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -192994, -771916, -1736712, -3087322, -4823686, -6945744, -9453436?\nAnswer: -12346702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 157721 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14282 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 - 7. Let p(m) = 4*m - 2*m**3 + m**3 - m + 2*m**w + m**2 - 1. What is p(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 3*m - 8. Suppose m*z + 4*i = -20, -2*z = 2*i + 9 + 1. Let y = -1373 - -1375. Solve p + z*s + 2*s - 7 = 0, y*s = -5*p + 11 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -51*l**3 - 20*l**2 - 18. Let i(k) = -17*k**3 - 7*k**2 - 6. Determine 8*i(r) - 3*j(r).\nAnswer: 17*r**3 + 4*r**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w**2 - 5*w**2 + 4*w**2 + 26*w**3 + w**2 - 28*w**3.\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(3 + sqrt(833) + -1))**2.\nAnswer: 112*sqrt(17) + 3348","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/18 + -5*3\/(-15).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28384685 and 930.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of -1\/6*b**4 + 1\/6*b**3 + 0 - 26*b**2 + 0*b. Give m(4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 + 8. Solve u*z - 5*n = 31, -2*n = -2*z - z + 19 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48634 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -82 - -136. Let j = 60 - n. Suppose 33 - 249 = -j*s. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-3\/7))**(7\/3) assuming t is positive.\nAnswer: t**(4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - b + 179 - 190 = 0, 2 = 2*b for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94*t + 707 + 233 = 0. Suppose 2*d + 395 = 5*w + 7*d, 0 = -3*w + d + 241. Calculate the greatest common factor of t and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-5 + (1 - (-1 + 3)))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15244?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 359496912 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seventy-three quarters of a minute?\nAnswer: 1095","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 89 - 25.8. Let g = -63 + q. Sort -5, g, -0.2, -3\/7 in descending order.\nAnswer: g, -0.2, -3\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p - 2. Let v be g(5). Suppose 7*l - 25 = 12*l, -u + 4*l = -19. Which is the nearest to -1? (a) u (b) v (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/((-176)\/(-33))*30\/(-3).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 375?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 13*p**2 - 8*p - 9. Let l = 312 - 313. Let u be r(l). Solve -u + 8 = -4*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20197*y**3 + 18*y**2 + 10666703*y wrt y?\nAnswer: -121182*y + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, 5821, 2\/17, -3, 0.2 in increasing order.\nAnswer: -3, -3\/2, 2\/17, 0.2, 5821","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -19*z + 2. Let n(t) = -40*t + 6. Let l(k) = -5*g(k) + 2*n(k). Let d(a) = 3*a**2. What is d(l(r))?\nAnswer: 675*r**2 + 180*r + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*k + 77*k = 5*b + 46, -4*k = -2*b + 1185 - 1213 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 71, 72, 71, 68, 63?\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, -3, 5, 2.1, 78 in descending order.\nAnswer: 78, 5, 2.1, -3, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(128) + -3 + sqrt(128)))**2 + (1 + 1*sqrt(128) + sqrt(128) - sqrt(128)).\nAnswer: -1528*sqrt(2) + 8337","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - 2*g**2)*(-7261*g - 5*g**3 - 27*g**2 - 7256*g + 14517*g).\nAnswer: 10*g**5 + 54*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -7 + 6 + (2 - -1). Which is greater: b or 12\/17?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13801133 to the power of 1\/2, to the nearest integer?\nAnswer: 3715","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25240?\nAnswer: 2, 5, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 130 and 4.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*2\/(-6)*(22 - 20).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2\/3 - 1402*t\/3 - 4260.\nAnswer: 2*(t - 710)*(t + 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of t + t**2 - t + 2. Let n(m) be the second derivative of m**4\/6 - 7*m. Determine l(n(p)).\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -86 + 89. Solve r + 0*y - 12 = 4*y, u*r + 9 = -3*y for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 5*z**4 - 35385*z**3 + 57667490*z**2 - 27301049760*z - 27358752640 = 0.\nAnswer: -1, 1048, 4982","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1 - -0.7. Let q = -0.41 - 4.59. Put i, q, 3 in descending order.\nAnswer: 3, i, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {q: 8, d: 1, p: 4, b: 1, o: 1, s: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.2? (a) 155 (b) 9 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -31 - 8*i**2 + 21*i**2 - 12*i**2 - i**3 + i + 32. Let f(z) = -2*z**3 + 3*z**2 + 4*z + 3. Give -f(u) + 3*h(u).\nAnswer: -u**3 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/8 and 43\/35313487?\nAnswer: 282507896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-13)\/4)\/((-12)\/144) - -1. Calculate the greatest common factor of 128 and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 730\/45 - (-2)\/(-9). Suppose 0 = 5*j - j - x. Solve -j*k = 8, -1 = 4*l - 3*l + 2*k for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -3 (c) 1 (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 30444 = -5*m + 7*y, -m + 6084 = -3*y. What is the thousands digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 21 = -3*z, 3*h - 6*z + 4*z + 39 = 0. Let w = -12 - h. Suppose -k + 5*q + 25 = 0, 4*k + w*q - 3 = k. Solve -k*g + 4 = 24 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*g**4*i*l + 2*g**3*i*l + 13*g**2*i - g*i - 6*i*l + 324*l wrt g?\nAnswer: 120*g**2*i*l + 12*g*i*l + 26*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23918 - t**2 + 5*t**2 + 23918.\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -12*n - 229. Determine i(-19).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1070*k*s**2 - 19*k*s*v**2 + s**2*v**2 + 6*s*v**2 - 4*s wrt s?\nAnswer: 2140*k + 2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 121291487 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of 19*a**6\/2 + 2*a**3 - 5*a + 87. What is the third derivative of w(z) wrt z?\nAnswer: 3420*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1116 is divided by 53.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11215 (base 6) to base 13.\nAnswer: 959","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -11669, -24260, -36851, -49442, -62033, -74624?\n\"Answer: -12591*w + 922","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.12 + -5.12. Let g = -110 + 115.4. Let s = g + l. Which is the biggest value? (a) s (b) -2 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10.9 - 20. Let o = d + 35. Let c = o + -4.099949. Round c to five decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -24*g - 6. Let x be (-147 + 149)*((-3)\/(-4) - (-3)\/(-12)). Let y(t) = t - 1. Calculate x*r(m) - 6*y(m).\nAnswer: -30*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1326628 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16800807 is divided by 674?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-9)\/(-5) - 1\/(-5). Let i be (8\/10)\/((-4)\/(-110)). What is the highest common divisor of a and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -334*l - 315*l - 447*l + 433*l - 407*l.\nAnswer: -1070*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*o - 3*y + 6, -3*o + 32*y + 9 = 35*y for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11 + -15433420?\nAnswer: -15433405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, 16, 19, 24?\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 10:49 PM?\nAnswer: 7:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.51 + -1.39. Let v = -0.12 + i. Which is the closest to -2? (a) 1\/8 (b) v (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 229?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 36171014*b**3 + 4*b**2 + 191016272*b wrt b?\nAnswer: 217026084*b + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2583)\/(-11) - (-14)\/77*1. Suppose 0*h - 5*v + 27 = h, 5*h + 5*v = c. Is 10 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 2 q when four letters picked without replacement from {p: 2, q: 4, m: 1, v: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*i = 233 + 2449. Let h = 394 + i. Calculate the highest common factor of h and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8201168 - 23601168. Round k to the nearest 1000000.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g - 3*g + 3*g)*(0 - 2*g + 0)*(-4 - 4 + 0).\nAnswer: -16*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*o - 148 = 766*m - 768*m, 35*o - 2*m = 39*o + 92 for o.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 7*s + 6. Let c(p) = -2 - 2 + p**s + 1 - 3 + p. Let v(o) = -o - 3. Let y be v(-3). Determine c(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2035775820 rounded to the nearest one hundred thousand?\nAnswer: -2035800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -102481*u - 1844660. Give b(-18).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 127*v**3 - 3*v**2 + 10632*v - 2?\nAnswer: 762*v - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - 209?\nAnswer: -208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/152904048 and -109\/198.\nAnswer: 458712144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-18)\/27 - (-6)\/9. Let t(o) be the first derivative of o + 0*o**3 - 4\/5*o**5 + 4 + 0*o**4 + u*o**2. Differentiate t(z) wrt z.\nAnswer: -16*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.56259 - 717.53759. Let u = -725 - b. Let g = u - -8. Round g to two dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -19811, -79568, -179155, -318572, -497819, -716896, -975803?\n\"Answer: -19915*w**2 - 12*w + 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2668.872 milligrams in grams?\nAnswer: 2.668872","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 22 = -5*z. Let p be z\/(-4) + 0 + 1. Factor 1\/4 + 0*o**3 + 0*o + 1\/4*o**4 - p*o**2.\nAnswer: (o - 1)**2*(o + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (-6 - (7 - (10 + 4)))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(20)*5 + 4 + -1*sqrt(5) + -2 + sqrt(55)\/(sqrt(22)\/sqrt(2)))*-4)**2.\nAnswer: 640*sqrt(5) + 8064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -11044331 (base 5) in base 12?\nAnswer: -48061","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -559639\/260 + 8609\/4. Calculate the common denominator of s and 67\/2.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 2500146?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-195)\/416*(-4)\/3.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 8\/9 (b) 0.26 (c) 5\/2 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/4 (b) 1\/3 (c) -2\/15 (d) 0.07 (e) -10 (f) 5\/578\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + -8 - (4 - ((-2 - -1) + -42 + 39))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1275 is divided by 20?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/((-6417)\/552 + 11).\nAnswer: -96\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 195537 is divided by 6110.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.52 - -0.28. Let d = -2.8 + b. Suppose 2*x + 0*x - 34 = -t, -2*x = 5*t - 50. Which is greater: x or d?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -1\/9831 (b) 12 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 476538 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.4, 4, -349\/4.\nAnswer: -349\/4, -1, -0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1336 - -24163\/18. Suppose 0 = -4*i - 8. Calculate the common denominator of l and ((-1)\/i)\/(2\/(-15)).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, -148, 0 in descending order.\nAnswer: 5, 2, 0, -148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -36*r**2*t + 3*r*t + 748*r - 2*t - 60485 with respect to r.\nAnswer: -72*r*t + 3*t + 748","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 153231?\nAnswer: 3, 13, 3929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 352 and 128.\nAnswer: 1408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than -2\/108611?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 198 = -5*w, -197 = -4*w - w - 2*v. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*z**4\/5 + 1736859*z**3 + 26052858*z**2\/5 - 12*z\/5 - 34737144\/5 = 0. What is z?\nAnswer: -2894762, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 6 (b) 1.076 (c) -2\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -18539200 divided by 2\nAnswer: -9269600","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85 = -3*u + 202. List the prime factors of u.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = 6*o - 6, 92559*o - 4*u - 8 = 92542*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u - 5*u = 21. Let t(q) = -3*q**2 + 14*q + 2. Let v(m) = m**2 - 1 - 7*m - 2*m + 4*m. Let f(k) = -2*t(k) - 7*v(k). What is f(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 56?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 0.9?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + t - 12 = 0. Suppose 5*g - 4*g = -t*m + 39, -3*g = -m + 26. Let x be 2\/11 + 42\/m. Solve -4*v = -2*d - 2*v - 2, x*d + 9 = 5*v for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4 + (3 - 7))\/(4\/2). Is k > -2\/133?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 355693.6l?\nAnswer: 355693600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three thirds of a day in minutes?\nAnswer: 11040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -4 (b) 1\/14 (c) -1\/4 (d) -30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 12898?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -30006 < 58?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, -19188, -1, 5, 52?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 6.840449 kilograms?\nAnswer: 0.006840449","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/104 and 71\/36.\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 + -4. Let f(i) = -i**3 - 13*i**2 + 12*i - 20. Let t be f(a). Suppose 2 = -2*x + t. Solve -4*o = 5*u, -o + x*u - 9 - 8 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 240 and 336.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -193*b**2 - 1 + 513*b**2 + 51*b**2 + 777*b**2 - b.\nAnswer: 1148*b**2 - b - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 + 30 = 6*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 1\/5, -19\/3, 5, 2\/9?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-25))\/(54\/2025) - 1230\/(-84)\nAnswer: -5\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -0.7, -0.5, -84?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 345000 to the nearest ten thousand.\nAnswer: 350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1046 is divided by 519?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1036 + -1065. Let x be (-28 - o)*(-200)\/(-1). Suppose -r - 4*j + 48 = 11, -3*j + 109 = 4*r. Calculate the greatest common factor of r and x.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/(p*p**(1\/12))*p**(-3)\/p*(p*(p\/(p*p**(1\/14)\/p))\/p)\/(p**(-2\/7)\/p) assuming p is positive.\nAnswer: p**(-157\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1238*n - 2505*n + 1246*n.\nAnswer: -21*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -81*i**3 + i**2 - 99*i - 1?\nAnswer: -486*i + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*c + 4577 - 4577 + 22*c.\nAnswer: 31*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101101 (base 2) to base 7.\nAnswer: -63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x**(2\/15)\/x*x))\/(x\/(x*x**(-1))))**(-3\/43) assuming x is positive.\nAnswer: x**(2\/215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3667 + -3609. Let g = -61 - -148. Calculate the greatest common divisor of u and g.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 63, -1, -690, -2, 2.\nAnswer: -690, -2, -1, 2, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 6618*b - 2630. What is the smallest common multiple of w(2) and 14?\nAnswer: 74242","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r + 3*r + 2*r)*(4784 - 9575 + 1796*r + 4792).\nAnswer: 1796*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, k: 1, q: 1, s: 1, h: 2, i: 1}. What is prob of picking 1 q and 1 a?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -20 + 2. Let n be 16\/h - (-8)\/36. Suppose -4*w + 30 = -n*w. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 13708?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17 + -17. Solve z*i = 2*i + 10 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x**2 - x - 2. Let j(u) = -u**3 - 11*u**2 - 11*u - 8. Let q be j(-10). Let g be a(q). Let m(r) = 91*r**2 - r + 7. Is m(g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g - 2 = -6*g. Let t be (4 + -7)*(g - -1). Suppose -3*y + 1 = -4*y, -t*z + 7 = -y. Solve -z*k = -0*v + 2*v, -3*k = -12 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1342252 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: Is -1 at most -66\/20292791?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 5*g = -0 - 13, 0 = -a - 2*g + 2. Suppose a*q - 34 = 18. Calculate the remainder when 36 is divided by q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 145 = 142 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is f0 + 4?\nAnswer: f4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 + 8*s**2 + 38*s - 23. Let l be o(11). Suppose -4*y - 5*b = -108, 0 = 2*y + 2*b - 3*b - 68. Is l bigger than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, 4, 2, -23 in increasing order.\nAnswer: -23, -5, -3, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1067*y + 64*y**2 - 1067*y.\nAnswer: 64*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1608.9683 rounded to the nearest ten?\nAnswer: -1610","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 146544.\nAnswer: 2, 3, 43, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2738*m**2 + 18 - 46 + 682*m**2 + 20.\nAnswer: -2056*m**2 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 AM and 12:23 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from {j: 1, a: 3, p: 12}.\nAnswer: 11\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1642560571 - 5?\nAnswer: 1642560564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 114 is divided by 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6106241 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 362 = -5*q + 92, -u + 2*q + 440 = 0. Calculate the greatest common factor of 2516 and u.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2*x**3 + 3*x - 2*x**3 + 5 + 5*x**3 - 5*x**2. Suppose -220 = -4*l - 196. Let y be 2 - l - 96\/(-12). What is q(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 516594 and 7518.\nAnswer: 3616158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1.16*1607\nAnswer: 1864.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -16561637 times -7\nAnswer: 115931459","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*l*m**2*p - 6*l*m**2 + 2*l*m*p + 366*m**2*p + m**2 wrt l?\nAnswer: 4*m**2*p - 6*m**2 + 2*m*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 954 and 106?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -2*v**2 + 6*v - 2. Let n(d) = -2*d**2 - 11*d - 8. Let f be n(-4). Give h(f).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 6*d - 14. Let a(h) = 27*h + 87. Let r be a(-3). Let o be y(r). Solve 3*k - 10 = -o for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 3.2 (c) 8 (d) -0.4 (e) -0.1 (f) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-432963)\/(-7249) - 40\/55.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 494944396741 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, d: 4, u: 10, q: 1, v: 3}. What is prob of picking 1 d and 2 u?\nAnswer: 60\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 11756, 11508, 11260, 11012?\n\"Answer: -248*f + 12004","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 132 and 25068?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjlrrrrlrlrrj. What is prob of picking 4 r?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 125 = -46. Let i = y + 81. Suppose -4*x = -7*x + i. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 + -1)\/1 + 0. Suppose 3 - v = -f. Which is bigger: f or -11?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of 5*v**3\/3 - 3*v**2\/2 - 3*v - 2. Let z be k(-2). Suppose 26*t = z*t + 6. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*y + 6226 - 6114 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 67*b**2. Let r(a) = 10355*a. Determine r(d(h)).\nAnswer: 693785*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x + 69*x + 8*x)*(-2*x**3 + 0 + 0).\nAnswer: -162*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.97 - -4.97. Sort -0.5, 13, s, -1 in ascending order.\nAnswer: -1, -0.5, s, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w**4 + 1333*w**3\/3 - 5763*w**2 + 35219*w\/3 + 4570 = 0.\nAnswer: -457, -1\/3, 3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 less than -367.997?\nAnswer: -370.997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -4*r - 5. Let f be 25\/(-3) + (-3)\/(-9). Let v = f + 6. Let j be b(v). Solve j*d + 18 = t + 2*t, -19 = t + 4*d for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 2:47 AM?\nAnswer: 5:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*r + 0*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*b**2 + 3183*b - 3182*b - 59*b**2.\nAnswer: 5*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/10 of a centimeter?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l + 2 - 2)*(-l - 25*l**2 + 226 - 226).\nAnswer: 50*l**3 + 2*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1614381 or -24.4?\nAnswer: -1614381","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4191*-344.37.\nAnswer: 1443254.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -7) + -3 - (-14 - (20 + -21)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6413 and 363?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 7*w - 6. Suppose -2*g = -2*d, -g = 4*g + 15. Let c(b) = b - 1. Give d*o(i) + 24*c(i).\nAnswer: 3*i - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3018.812ng to grams.\nAnswer: 0.000003018812","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*c - 66 = -825 for c.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/117)\/(4620\/693*1\/4)?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 - 14*t**2 + 15*t - 21. Let s be m(13). Solve 2 - 12 = s*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -298\/3, 0.4, 0.15, 3, 1\/8 in ascending order.\nAnswer: -298\/3, 1\/8, 0.15, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0.2, -11, 9\/10, -0.1, 3\/10 in increasing order.\nAnswer: -11, -4, -0.1, 0.2, 3\/10, 9\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 50 = -7*k. Let h be 32\/k*1*-5. Let f be 3\/(-18) - 5\/(-30). Solve f = 2*v + 2*v + h for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 26\/17*h - 2\/17*h**2 + 28\/17.\nAnswer: -2*(h - 14)*(h + 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4550*s + 2272*s + 2276*s.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in -2, 9, -25\/6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + h = 314, u + h - 148 = 5*h. Suppose 0 = -2*d + 3*n + 76, -30*n = 5*d - 29*n - u. Calculate the greatest common divisor of d and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**2 + 5*d - 6. Let w be v(4). Let q be 1\/(1\/4) + 1000008\/w. Round q to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/2960 and 29\/18352.\nAnswer: 91760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 3:58 AM?\nAnswer: 5:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 602, -1, -5217 in increasing order.\nAnswer: -5217, -1, 602","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 8607, 1818, 0?\nAnswer: 8607","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*i = -8 + 52. Suppose i*b = 6*b - 70. Calculate the remainder when b is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*b**2 - 5*b**2 + 14*b**2 - b + b.\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1212 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -6. Let i(b) = 14*b**2 - b + 1. What are the prime factors of i(g)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from {d: 1, e: 8, k: 6, l: 3}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106765 = -5198*v + 359*v + 149597 - 82158 for v.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 + 36. Suppose 17*g - 64 = -13. Suppose 0 = 3*v + 3, 16*c = 12*c + g*v + 1443. What is the greatest common factor of h and c?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from {k: 3, g: 1, q: 1, i: 1, c: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -318 + 647*d + 320 - 287*d - 322*d.\nAnswer: 38*d + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 15 (base 6) to base 15\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 420.997 rounded to the nearest integer?\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 611520 and 308?\nAnswer: 6726720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -0.3 (b) 5\/17 (c) 1.9 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002773 rounded to six decimal places?\nAnswer: 0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 17 = 3*h + 4, -2*s + 2 = 4*h. Suppose -624 + 2919 = s*f. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 322 - 216. What are the prime factors of h?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*p - 9*p + 288. What is the least common multiple of p and 10?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m = 11*l + m + 2413 - 2342, -m + 12 = m for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 420 by -84.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 9*u**3 + 7*u**2 - 7*u. Let j = 78 - -82. Let r = 166 - j. Let z(f) = 5*f**3 + 4*f**2 - 4*f. Calculate r*g(t) - 11*z(t).\nAnswer: -t**3 - 2*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(189) - (sqrt(189) - -3*sqrt(189))*-5) + sqrt(189))\/(1*sqrt(28)\/sqrt(4)))**2.\nAnswer: 13068","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/((-5 - -3) + (-8)\/(-8)). Let h be q*20*6\/(-24)*-1. Let c(s) = -s**2 + 5*s. What is c(h)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tw when two letters picked without replacement from {w: 7, t: 3}?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6575563 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1141655?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15 + -7*(-360)\/672)*(-2 + -2)?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 641612791 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: Expand (2 - 2 + 2)*(-6*z + 2*z + 3*z) + 5417*z + 1 - 3014*z - 2842*z.\nAnswer: -441*z + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8468.\nAnswer: 2, 29, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 784 - 13*c**3 - 1538 + 754.\nAnswer: -13*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 108 + -81. Suppose -g*j - 36 = -31*j. Calculate the remainder when 23 is divided by j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.014798 to three dps.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 rounded to the nearest ten?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -3*z - 39. What is q(-11)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(70)\/(-1*(sqrt(10) + sqrt(10) + sqrt(30)\/sqrt(3))) + -3 + (sqrt(7) - ((sqrt(7) - sqrt(112)) + sqrt(7))) + sqrt(77)\/(sqrt(44)\/sqrt(4)).\nAnswer: -3 + 11*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**5 + 8*z**4 - 318*z**3 - 992*z**2 - 1003*z - 336.\nAnswer: (z - 16)*(z + 1)**3*(z + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1428)\/(-289) - 9\/(-153). Solve -2*h + z = -3*b, 5*b - 17*h = -16*h - 6 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llo. What is prob of sequence lo?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3070*c + 3301658 = 3129*c + 592201. List the prime factors of c.\nAnswer: 19, 2417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -931 - -1084. Calculate the remainder when 313 is divided by g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1532*q**3 - 4 - 765*q**3 + 2 - 10299*q - 770*q**3.\nAnswer: -3*q**3 - 10299*q - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 9042*w**2 - 9060*w**2 + 0 + 0. Let x(t) = -t**2 - t - 1. Let g(c) = 7*c**2 + 6*c + 6. Let u(r) = g(r) + 6*x(r). Determine u(p(s)).\nAnswer: 324*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5740 - -7157. Calculate the remainder when g is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 0 + 5\/3*j**4 + 70\/3*j**3 + 0*j + 80*j**2 = 0.\nAnswer: -8, -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -15*p**3 + 90*p**2 - 221*p + 1317. Determine k(6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(8\/3)*a*a)\/(a*a**(-19)))**(-4\/5) assuming a is positive.\nAnswer: a**(-284\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -377 divided by 29?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/73759169 or -1?\nAnswer: 2\/73759169","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 4*f + 18, 4*j + 14 = -3*f + 5*f. Let y be j\/21 + 11\/(-33). Let r = -1\/22 - 37\/154. Which is the smallest value? (a) r (b) y (c) 0.2 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 7*v**2 - 6*v + 1. Let f be g(1). Let z(b) = -3*b + 6. Let h be z(f). Is 1\/110 >= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13422471 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 2 = 2*j, -5*i + j = -96. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2675 - -2732.08. Let v = q - 57. Which is the third biggest value? (a) 2\/5 (b) v (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 37509 or 37508?\nAnswer: 37508","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 250 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80479 is divided by 5027?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1404 is divided by 316?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -2*c**2 + 7*c + 8. Let p(n) = n**2 - 4*n - 4. Let o(u) = -3*l(u) - 5*p(u). Let z be o(-2). Sort -5, z, -2 in decreasing order.\nAnswer: z, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-10) - (-116)\/10. Let b(t) = -t**3 - 3*t**2 + 11*t + 5. Let x be b(-5). Solve -4*a + 2*r = -a + 4, x = 4*a + 4*r + y for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 - 12*g - 127. Calculate the lowest common multiple of 11 and y(24).\nAnswer: 1771","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 9*c - 22. Calculate the remainder when 108 is divided by n(5).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of h*n**2 + 3*h*n + 887*h - 2*n**2 - 200*n - 3 wrt n?\nAnswer: 2*h*n + 3*h - 4*n - 200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -37*0.25\nAnswer: -9.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1229, 4820, 10789, 19130, 29837, 42904?\nAnswer: 58325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-27927)\/(-5457) - (6\/21 - (-100)\/(-595)). Let 4\/7*i - 4\/7*i**s - 40\/7*i**2 + 24\/7 + 0*i**3 + 16\/7*i**4 = 0. What is i?\nAnswer: -1, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*a + 14*h - 15*h = 8*a - a - 1 + 52, -4*a = -22*h - 2 for a.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 4*c - 308 = 0, b + 4*c = 63 + 91. Calculate the greatest common factor of b and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of -k**6\/360 - 4*k**3\/3 + 10*k. Let q(f) be the second derivative of y(f). Let l(u) = -3*u. Calculate q(l(c)).\nAnswer: -9*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 6*t = 4*r + 12, -3*r = -5*t + 16. Solve 0*a = -4*a + 2*x - 12, 0 = 3*a + t*x + 2 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 295 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-141)\/(-5) - ((-42)\/(-10) - 83\/(1743\/84)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 - 13*b + 18. Let z(w) = -w**2 - w. Let p(a) = -x(a) - 2*z(a). Factor p(m).\nAnswer: 3*(m - 1)*(m + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -83*c**2 + 2*c - 18. Let p(a) = 82*a**2 - 3*a + 19. Let t(i) = -3*p(i) - 4*u(i). Find the second derivative of t(h) wrt h.\nAnswer: 172","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -19*m**2 - 4*m + 7. Let h(d) = -20*d**2 - 5*d + 8. Let q(w) = -4*b(w) + 3*h(w). What is the second derivative of q(p) wrt p?\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from itpppqttmwqtqq. What is prob of picking 1 i and 1 p?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2515, 2013, 1515, 1021, 531, 45, -437?\nAnswer: -915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -3 (b) -36 (c) 4 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (25\/2)\/(1\/(-4)). Suppose 5*x - x = 220. Let z = x + q. Round z to 0 decimal places.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + -2 + 19\/1. Let t be 142\/9 + 4\/y. Suppose 9*h - 7*h = 10. Solve -h*a - t = -a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ykyykyyykyy. What is prob of picking 2 y and 2 k?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15737095 - 19*v**2 - 15737095.\nAnswer: -19*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*h - 21*h = 18. Let u(v) = -6*v. Suppose r + 1 = -3*x, 4*r + 2*x = 2 - 16. Let l be r\/22 - (-138)\/33. Let i(b) = 13*b. Give h*u(n) + l*i(n).\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 347730?\nAnswer: 2, 3, 5, 67, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -5\/7, -0.5, -1, -2.21, -2\/5?\nAnswer: -2.21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 259669343 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (18 + -2 + 4)\/2. Suppose -k + u = 3*n, 0 = -3*k + 7*n - 4*n + 6. Suppose 5*t + 34 = 5*a - 4*a, -k*t + 4 = 0. What are the prime factors of a?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1\/5, 1\/188467.\nAnswer: -4, -1\/5, 1\/188467","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirty-one fifths of a millimeter?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -f**5\/3 + 244*f**4 - 93536*f**3\/3 + 4869830*f**2\/3 - 38392725*f + 1030114750\/3 = 0. Calculate f.\nAnswer: 35, 41, 586","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*d**2*p**4 - 7*d**2*p + 11640140*p**5 - 1132120 wrt p?\nAnswer: 96*d**2*p**2 + 232802800*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -513, -521, -541, -579, -641, -733, -861?\nAnswer: -1031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 10 + 161730?\nAnswer: 161740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of n**7\/720 + n**6\/720 - 39*n**5\/10 + 220*n**2. Let f(a) be the third derivative of u(a). Let h(m) = m**2. What is h(f(v))?\nAnswer: 49*v**2 + 14*v + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n - 4*n + 5 + n. Let k be l(-15). What is the remainder when 117 is divided by 3\/(-5) - (-412)\/k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -207, -218, -229, -240?\nAnswer: -251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyyyyyykkyyyyyyyyy. Give prob of picking 1 k and 3 y.\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1070624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 31 + -21. What is the second derivative of -12*n + 21*n**3 - r*n - 13*n wrt n?\nAnswer: 126*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46 is divided by 20?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.332 and -1457?\nAnswer: 1456.668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 - (2 + 1)) + (0 - 2). Let w be (-6)\/4*j\/(588\/(-8)). Let d = -19.2 + 19. Which is the biggest value? (a) w (b) -0.5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 174 is divided by 45?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 9*a + 302. Calculate z(-34).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*w**4 + 0*w**4 + 0*w**4 + (3*w**3 - w**3 + 0*w**3)*(-2*w - 2*w + 2*w) in the form b*w**3 + l*w**2 + z*w**4 + r + c*w and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, -46, -134, -264, -436, -650, -906?\nAnswer: -1204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/4*(-4)\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2472.977 rounded to the nearest one hundred?\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 - 2*s - 2. Let q(u) = 21*u**2 - 21*u - 20. Let x(m) = -10*o(m) + q(m). Let w be ((-1)\/(-2))\/1*-2. Calculate x(w).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 180 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -2*a**5 + 2*a**4 + a**2 - 21*a. Let c(y) = y**5 + y**4 + y**3 + y**2 - y. Let f(l) = -2*c(l) + i(l). What is the third derivative of f(p) wrt p?\nAnswer: -240*p**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of 0 + 0*a + 0*a**4 + 0*a**3 - 130*a**2 + 13\/60*a**5. Let v(s) be the second derivative of s**3 + 2*s. Determine f(v(q)).\nAnswer: 468*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 100 + -106. Is -8 less than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -255.6615 to the nearest integer.\nAnswer: -256","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21158126*t**4 - 13562*t + 46 wrt t.\nAnswer: 253897512*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1405*n + 698*n - 1 + 276*n**2 + 1 + 705*n to the form h*n + d*n**2 + i and give d.\nAnswer: 276","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*x + 3*x + 4*x**2 + 3*x**2 + 0*x.\nAnswer: 7*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -22 + 75?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -426 + 409. Is x equal to 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-39)\/(-12) + -2)\/(6\/(-24))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 150513176?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*m = 628 - 268 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8168.9 - -8225.941. Let z = -0.041 + l. Let h = z + -57.000046. Round h to five dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6276529 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 PM and 10:53 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 PM and 12:26 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 + -34)*(-7 + (-235)\/(-25)). Let c = 67 + k. Let w(d) = d**3 + 16*d**2 - 22*d + 12. Is w(c) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-31*(-4)\/868)\/((-1)\/(-119))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 992\/7 - 142. Let u(k) = -6*k**3 + k**2 + k - 1. Let s be u(1). What is the third smallest value in s, v, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11110 (base 2) in base 6?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-17)\/(x\/(x\/(x**(-3\/4)\/x))*x))**10 assuming x is positive.\nAnswer: x**(-325\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 182156\/7 - 25912. Do p and 109 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 36278363?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k = -0*k. Suppose k*h - 17 = -h. What is the highest common divisor of 17 and h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -601204, -1202439, -1803674?\nAnswer: -2404909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 - 3)\/(-4 - -3). Which is bigger: 4\/7 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 17 = -5*q. Let r = 21 - q. Suppose 2*h = r*y - 34, 2*y - 4*h = y + 19. What are the prime factors of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 4*m = -1780, 4*s - 2967 + 1185 = -5*m. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = o + o. Let r be (0 - 1)\/(o\/6). Differentiate 0 - 4*z + r*z - 2 wrt z.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/4 and -16\/387?\nAnswer: 1548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26571707?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 337*o**4 - 336*o**4 - 20*o**2 + 5*o + 22*o**2 + o**3 to the form m*o**3 + g + c*o**4 + t*o + y*o**2 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 l when two letters picked without replacement from {s: 1, l: 2}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 11, c: 3}. Give prob of picking 4 f.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 975137111 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q**3 - 97*q - 2*q**3 + 1725*q**2 + 3*q**3 - 1725*q**2.\nAnswer: -q**3 - 97*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbqkdqqakdabldqadba. What is prob of picking 2 k and 1 l?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1110 (base 6) in base 12?\nAnswer: -196","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -225*r**2 - 225*r**2 + 449*r**2. Let h(g) = 84*g. Calculate h(l(m)).\nAnswer: -84*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 39.\nAnswer: -3.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + i + 3*f = 6, 2*f = 4*i + 10. Let w = -1\/2 - i. Which is the nearest to -1\/4? (a) w (b) -2\/9 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/67)\/(u**(10\/3)*u))\/(u**5)**28 assuming u is positive.\nAnswer: u**(-29017\/201)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -8*(-2)\/24 + (-152)\/(-6). Solve -33*i + 21 = -a*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 a factor of 3381444?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 26034*i**3*z + 22360*i**3 wrt z?\nAnswer: 26034*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 c when four letters picked without replacement from ccccccc.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 10 - 9c4b?\nAnswer: -9c3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17905?\nAnswer: 5, 3581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*n = -23 + 263. Let o be (3\/n)\/((-18)\/4). Sort -0.2, 0.05, o in descending order.\nAnswer: 0.05, o, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -784470 by -10.\nAnswer: 78447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-3))\/((126\/(-27))\/(-1)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = -6*j + 76, 1110*f - 10 = 1114*f + 5*j for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f**2 + 38*f - 92. Let v be c(3). Solve 346*o + v = 326*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h - 20 = 2*h. Suppose 5*b = -0*r - 4*r, h*r = 4*b + 36. Let d(k) = -7*k + 3. Let o(z) = 6*z - 3. Let w(n) = r*d(n) + 6*o(n). Determine w(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26.8 + -27. Which is the nearest to 0? (a) p (b) -2\/17 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 - 6*r**2 + 38*r - 82. Let m be o(3). Determine w so that 51\/4*w**3 + 0 - w + 49*w**m + 4*w**2 - 259\/4*w**4 = 0.\nAnswer: -1\/4, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 0.4 (b) -1\/3 (c) 4 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19, 84, 229, 490, 903, 1504, 2329, 3414?\nAnswer: 4795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-17))**(-28) assuming u is positive.\nAnswer: u**448","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 157, 356, 549, 736, 917, 1092?\n\"Answer: -3*c**2 + 208*c - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((-16)\/(-30))*513\/((-295488)\/(-15360))\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8717 - 2?\nAnswer: 8715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 484148 to the power of 1\/3, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4*((-5)\/(-2) - 3). Suppose r*s - 287 = -3*o + 312, o - 2*s - 213 = 0. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the third derivative of -v**6\/1200 - v**5\/75 + v**4\/240 + 2*v**3\/15 + 5*v**2 + 224*v. Factor b(n).\nAnswer: -(n - 1)*(n + 1)*(n + 8)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -57*r**2 + 2*r**4 + r**3 + 506*r + 58*r**2 - 2 - 450*r to the form k*r**4 + s*r**3 + v*r**2 + z*r + f and give z.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10481247?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52570773.\nAnswer: 3, 139, 42023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7332?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*n + 139 = -9*n - 4*l + 32, -268*n = -269*n - 2*l - 43 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/408408 and -103\/12852.\nAnswer: 3675672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -959614, -959611, -959630, -959689, -959806?\nAnswer: -959999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 62\/105 and -76\/189?\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(((-1 + sqrt(1584) + sqrt(1584))*5 + sqrt(1584) + 4 - (4 + 1 + 2*sqrt(1584)))**2 + -3).\nAnswer: -1296*sqrt(11) + 128337","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 11) to base 16.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 PM and 1:31 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 13*y**3 - 3*y + 4. Let b(j) = -26*j**3 + 5*j - 7. Give -7*a(c) - 4*b(c).\nAnswer: 13*c**3 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -26 - -17. Let q be (n\/3)\/((-1)\/2). Let z = 9 + -3. What is the highest common divisor of z and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6666981?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -6 (c) 6\/7 (d) -0.2595 (e) 0.003\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 423266195?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104796476932 + 104796476932 - 33*g**2 + 2*g.\nAnswer: -33*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5793 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 AM and 5:49 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 = -252*c + 248*c. Suppose 0 = c*t + 14*t - 114. Factor -5\/3*h**t + 1\/3*h**4 + 2*h**2 - 8\/3 + 4\/3*h.\nAnswer: (h - 2)**3*(h + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 AM and 7:35 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 340204242123 - 3?\nAnswer: 340204242120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 566 + -562. Solve 0 = -10*f + 34 - q for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 - 7*b**2 - 7*b + 4. Suppose 3*t - 12 = 3*i, -4*i = -4*t - 8*i + 48. Let n = -53 + 98. Calculate the remainder when n is divided by m(t).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 17*u**2. Let b(z) be the first derivative of 1\/12*z**4 + 5\/2*z**2 + 4 + 0*z**3 + 0*z. Let h(t) be the second derivative of b(t). Calculate r(h(x)).\nAnswer: 68*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1812\/5 + -363. Which is the closest to -2? (a) q (b) -1 (c) 47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lolkkllsklllosls. What is prob of sequence klo?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 10455, 10451, 10445, 10437, 10427, 10415, 10401?\n\"Answer: -k**2 - k + 10457","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2634 + 2 - (17 - 17)) + 0. Suppose -z = -5*y + 1469. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -635*l - 928*l + 638*l - 870*l.\nAnswer: -1795*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3\/29, 5, -127, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.35 and 0.09?\nAnswer: -0.0315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21778.357 + -21733.3570135. Let a = -45 + f. Round a to six dps.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14113547 is divided by 17664?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 44.67\nAnswer: 44.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 3*b - 18*t - 3505, -4*t = 3*b - 3532. What are the prime factors of b?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of -g**6\/24 - g**5\/20 + g**4\/12 - g**3\/2 - 15*g**2. Let h(a) = -a**3 - a**2 - 1. Determine 3*h(m) - o(m).\nAnswer: 2*m**3 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 2*a = 20882 + 7198, 0 = -0*a - 5*a. What are the prime factors of u?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 e when two letters picked without replacement from hhhdhhdaeaheedh.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 325355 = 5*j + 5*x, -3*j + 118012 = -x - 77193. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 305.2603 - 1193.5\nAnswer: -888.2397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18 - -14. Suppose 5*t - k = 4*t. Is t a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-82)\/(-4)*(1 - 1\/(-1)). Let q(o) = s*o - 1 + 43*o + 18*o - 54*o. Does 5 divide q(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.219 + 11.681. What is b rounded to zero dps?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 1:48 AM?\nAnswer: 2:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3003 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 49?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a week in hours?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17190\/(-410130) + (-15)\/(-735).\nAnswer: -2\/93","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of r**3\/5 + 51*r**2\/5 + 1585. Factor a(t).\nAnswer: 3*t*(t + 34)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 5634632*o - 6504. Let g(i) = -4331*i + 5. What is -6504*g(m) - 5*x(m)?\nAnswer: -4336*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-288)\/(-16)*2\/(2*-3)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 4*y - 10 = 14, 2*p - 3*y = -19. Let i(s) = -2*s + 8. Let m be i(6). Which is the second smallest value? (a) -5 (b) m (c) 1 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11737 + 11741. Which is the smallest value? (a) 5 (b) j (c) -0.08 (d) 0.024 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 86 in -3, 0.01, -8\/5, 2\/53?\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, 1, 449.2, 4, 3, 1\/2, -3 in descending order.\nAnswer: 449.2, 4, 3, 1, 1\/2, -2\/11, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2\/7 (b) 2\/5 (c) -4 (d) -734\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - -3 - (-10 + 7).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8214a - -6b?\nAnswer: 821b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 12521300 a multiple of 110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**3 + 1435*g**2.\nAnswer: -5*g**2*(g - 287)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 3) + 13 + (-6 - -81 - 16) + 0.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4114\/187)\/(3\/(-2)*7*8\/(-252)).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 + 4. Let a = 40 + 18. Let j = a - 53. Sort t, j, -1\/11.\nAnswer: t, -1\/11, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 6*g - 4 = 3*w, 4*g - 4*w = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 - 2*q**3 - 5 + (-19*q**2 - 10*q**2 + 23*q**2)*(3*q + 0*q - q).\nAnswer: -14*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - -19 - (30 + (1 - 1)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 31489\/1614 or 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -84 - -89. Let i = a - 2. Let g(w) = -2*w**2 + 4*w + 1. Determine g(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i**3 + 3*i - 2 - 5*i + i)*(-3 - 5*i + 3).\nAnswer: -15*i**4 + 5*i**2 + 10*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 - 22. Let d = 6 + j. Let u be 2\/8 - d\/48. Is u != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of l**3*r**4 - 516163*l**3*r**3 + 19009*l**3*r**2 + 3*l**2*r**2 wrt r.\nAnswer: 24*l**3*r - 3096978*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = i - 2*w, -2*w + 6 = -6*i + 10*i. Let j = -1 + 0. Sort j, -2, 0, i in descending order.\nAnswer: i, 0, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 3*f**3 - 411*f**2 + 13869*f + 14283 = 0.\nAnswer: -1, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - -30. Suppose 9*h - 6*h - 20 = -z, -h = 2*z - l. Let g = z + 34. What is the remainder when 239 is divided by g?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.16 and -0.4.\nAnswer: -0.064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 PM and 6:00 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80*z + 229*z - 74*z - 74*z - 147.\nAnswer: z - 147","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1049 a factor of 362339286?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((42\/(-4))\/(-3))\/((-12)\/(-24)). Solve w*h - 15 = 2*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 290 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - 433022?\nAnswer: -433015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 0 + -6 + 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1156744 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -179 + 178.9. What is the smallest value in o, -1, -0.4, 0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/21 and -67\/1038?\nAnswer: 7266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-12)\/(-42)*7\/3)\/16. Let d(v) be the first derivative of 0*v + 0*v**2 + 1\/5*v**5 + 13 - 5\/16*v**4 - o*v**6 + 1\/6*v**3. Solve d(u) = 0 for u.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64004108 to the power of 1\/5, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1131431021 + -1?\nAnswer: 1131431020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 34177 and 22.\nAnswer: 68354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2364392898.\nAnswer: 2, 3, 7, 601, 31223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3219 + 3279. What is the greatest common factor of 1095 and n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 165.5237 litres to millilitres.\nAnswer: 165523.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 15 = 5*q, -3*q + 4*q = -3*j - 3. What is the third biggest value in 3\/2, q, -1\/2, 4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= 120\/101?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 157, 174, 209, 268, 357, 482?\n\"Answer: r**3 + 3*r**2 + r + 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/6*36\/(-18)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 94*o - 636. Let g be h(7). Solve -4*l - g = -3*j, 5*l + 26 = 6*j - 3*j for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 151308 a multiple of 467?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81132825.\nAnswer: 3, 5, 1081771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 301165 by -6.\nAnswer: -301165\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-4) + 31\/2. Let d be (3\/2)\/(708\/944). Solve -d*p - 4*o + 42 = h, 5*p - 2*o = 5 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -21*v**2\/5 + 7974*v\/5 - 14013.\nAnswer: -3*(v - 9)*(7*v - 2595)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/5 - (-49)\/5. Suppose -11*y + 41 = -t*y. Let s(r) = 20 - y + 2*r + 21. Give s(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 5) to base 13.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**4\/10 - 392824*m**3 + 1928885651319*m**2\/5 - 771553082056*m + 3857763446161\/10.\nAnswer: (m - 1964119)**2*(m - 1)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2139*d**2*f**3*g**3 + 2*d**2*f**2*g**3 - 169*d*f + 2*d*g**3 + 2*d + 6*f**3*g wrt d.\nAnswer: -4278*f**3*g**3 + 4*f**2*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, r: 13, e: 1}. Give prob of sequence rey.\nAnswer: 13\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8014192 is divided by 258.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of b**5\/150 - 6*b**2 + 9*b. Let q(k) be the first derivative of f(k). Factor q(g).\nAnswer: 2*g**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**5\/17 - 852*m**4\/17 - 1710*m**3\/17 - 856*m**2\/17.\nAnswer: 2*m**2*(m - 428)*(m + 1)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 630, 655, 700, 765, 850?\nAnswer: 955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 38\nAnswer: -5\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5)\/((-25)\/(-20))*462\/24. Let a be 2\/7 - 9988\/o. What is the greatest common divisor of a and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -91067, 5, -4, 12?\nAnswer: -91067","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2051178.\nAnswer: 2, 3, 341863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/11 in -0.2, 3, -1320?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hzhbptkp. Give prob of picking 1 b and 1 p.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (26\/39)\/((-4)\/18). Let u = o - -11. Solve 0 = r - 4*a - 16, -2*r + 2*a + u = -6 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 432757, 865518, 1298279, 1731040?\nAnswer: 2163801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/3*z**2 + 0 + 0*z + 1\/3*z**3.\nAnswer: z**2*(z + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1090?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.14 - 64.86. Let o = j - -65.9999816. What is o rounded to six decimal places?\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/2)\/((-1)\/2). Let b(y) = y + 6. Let w(k) = k + 1. Let a = -394 - -391. What is a*w(c) + r*b(c)?\nAnswer: -2*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oooooo. Give prob of picking 2 o.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4908908 rounded to two decimal places?\nAnswer: 0.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + -1. Let y = -3\/128 + 137\/384. Which is the nearest to w? (a) y (b) 4 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*p + 11*p + 1204 = 0. Find the third derivative of 14*o**2 + 3*o**6 - p*o**5 + 172*o**5 wrt o.\nAnswer: 360*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 702?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1\/8, 0.8, 4, 2\/5?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -19*g - 1627. Determine q(-86).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k. Let y(g) be the third derivative of g**4\/24 + 7*g**2. What is w(y(n))?\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 19*c - 22*c + 97902, 0 = 3*t + c - 58738. What are the prime factors of t?\nAnswer: 2, 3, 13, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -353 (b) -0.12 (c) -8330\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*c + 5*r, -2*c - 5 = -r - 16. Let j = 25 - c. Is j a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1 + -6 + (150 - 3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 58.6 + -23. Let n = 112.4 + l. Which is the second smallest value? (a) 0.1 (b) -2\/15 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -256*h**5 - 46*h?\nAnswer: -5120*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2 + 16*g - 18. Let z be y(9). Let q = -23 + 8. Let k be 27 - 2*q\/10. Calculate the greatest common divisor of k and z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -9545, -19081, -28613, -38141, -47665, -57185, -66701?\n\"Answer: 2*f**2 - 9542*f - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 62 + 1318*z - 8 - 1324*z + 22. Let u be s(12). Solve u*l = -5*v - 4, -v = -l + v - 1 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5830 is divided by 31.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 829134, -2, 3 in decreasing order.\nAnswer: 829134, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 6, v: 4, b: 3, w: 1, m: 1}. Give prob of sequence owv.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-31)\/(-4) + (-903)\/516.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of b**9\/504 - 953*b**6\/60 - b**5\/12 + 109*b**4\/24 - 84*b**2. Find the third derivative of z(t) wrt t.\nAnswer: 120*t**3 - 11436","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 48 - -11. Is v equal to 58?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 - 6*w - 20. Suppose -3*h - 2*o + o = -131, 153 = 4*h - 3*o. Suppose 0 = -39*p + h*p + 12. What is the smallest common multiple of 18 and j(p)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i - 13. Give m(14).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 7 - 2 = -l, -2*h - 2*l - 10 = 0. Suppose 145 = 5*w - 5*o, -2*o + 6*o + 4 = h. Calculate the remainder when w is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (146*x**2 - 73*x**2 + 117*x**2 + (-1 + 1 - x)*(-2*x + 3*x + 0*x))*(2*x - x + 2*x).\nAnswer: 567*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1115 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*q - 498 - 274 = 78 for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**4 - 196*m**3 + 6528*m**2 - 77824*m + 131072.\nAnswer: 2*(m - 32)**3*(m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 50*h - 21892 - 52508. What is the remainder when h is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28848 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -128 + 127. Let m be (-1)\/(-1) + 33\/(-27). Let h = 0.01 - -4.99. Which is the nearest to m? (a) h (b) j (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8\/119 and 30\/36*((-3048)\/(-160) + -6).\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (0 - (-6 + 5))) + 11 + 4.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x**2 - x. Let t be h(-4). Let s = 4 - 1. Suppose 0*l - 57 = -5*o + l, -3*o + 45 = s*l. What is the greatest common factor of t and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*r - 4*n = 562 - 418, -5*r + 3*n - 134 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -426252.68 to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.02 in 3, 5, -51, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8*m - 9 + 45*m - 52 - 8 wrt m?\nAnswer: 53","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 106440567 or 7?\nAnswer: 106440567","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1470149 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 96 = -4*q. What is the highest common factor of q and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + 11\/3 + (-8)\/(-6). Solve v*k + 7*i - 2*i = 36, 4*i - 28 = -3*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 3*j + 23 + 22, -j = -2*t + 17. Let q = 14 - j. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1042566709 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2152 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-47)\/(-282)*(-6)\/(-2))\/((1740\/24)\/(-29)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = 4*k + 6, -4*k - 32*l - 21 = -35*l for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2112454, 2112432, 2112414, 2112400?\n\"Answer: 2*p**2 - 28*p + 2112480","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1738*w**2 + 1632*w**2 - 3375*w**2 - 1 + 1.\nAnswer: -5*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 272687 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gzoos. What is prob of sequence gos?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 753\/2425 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15090 and 270.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -154*a**3 - 15*a + 18*a - 22*a**3.\nAnswer: -176*a**3 + 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 85 + -85. Let l be 0 + (q - 220)\/5. Is l at least as big as -41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*s - 77*s = 4*z - 6443, 3*z = -12. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2208 - 2207. Solve 5*v - a = -27, -l - 3 = -2*a for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2275 and -3694470.79.\nAnswer: -3696745.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 15) to base 11\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 1. Let h(b) = 2*b + 2. Let z(x) = -h(x) - 4*y(x). Let v be z(-8). Is 4\/v + 712\/20 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 5*i - 4*f - 7, -140*i + 153*i - 39 = 4*f for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, -10, 5 in decreasing order.\nAnswer: 5, -1, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 28*j**2 - 23*j - 15. Let i(f) = -f**2. Give o(i(b)).\nAnswer: 28*b**4 + 23*b**2 - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 98688 a multiple of 173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of 0*m + 15\/2*m**2 - 7. Let b(v) = -v + 1. Let s(r) = -2. Let i(c) = 2*b(c) + s(c). Give t(i(o)).\nAnswer: -30*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46611 - 1359 = 18*w. What are the prime factors of w?\nAnswer: 2, 3, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of d**5\/5 - 2*d**4\/3 + 2*d**3\/3 - 2*d + 267. Suppose z(w) = 0. Calculate w.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-3215412.\nAnswer: -12861648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 - 5*b - 2. Let h be k(-4). Differentiate -3 - 2*x + 4*x + 2*x - h*x with respect to x.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 4*j = 5*l - 3, 0 = 2*l - 3*j - 16. Let i = l + -20. What are the prime factors of (-128)\/i - (-6)\/(-27)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2 + s + 18. Let v be f(0). Let o(p) = p**3 - 19*p**2 + 19*p - 11. Let a be o(v). What is the first derivative of -2 - a + 0*w**3 + 5*w**3 wrt w?\nAnswer: 15*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 - 7*v**2 + 6*v + 2. Let w be q(6). Let z be ((-72)\/(-180))\/((-28)\/80*-4). Which is the third smallest value? (a) -1\/10 (b) z (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -86 + 93. Suppose -9 = u*r - 2. Which is bigger: r or -5\/9?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -38 + 41. Suppose 0*p**2 + 0*p**d + 2\/3*p**4 + 0 + 0*p - 2\/3*p**5 = 0. Calculate p.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3 - 34*w**2 - 290*w + 322.\nAnswer: 2*(w - 23)*(w - 1)*(w + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jejjpepjjjejjjjjjj. Give prob of picking 1 j, 1 p, and 1 e.\nAnswer: 13\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r. Suppose 34 = 5*z + 109. Let i = z + 17. Let g(x) = x - i*x + x + 6*x. What is b(g(u))?\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 divided by 2?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -164.9 - -189.87. Let k = b + -25. What is k rounded to one decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1571175*y + 575407.\nAnswer: 1571175","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1887.4 - -1887. Let m = -32 + 32.63. Let b = 0.6 - m. Sort b, -3, d in ascending order.\nAnswer: -3, d, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 605?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/2*(-2)\/(-2). Let v = 11 - i. Let x be (-7)\/(91\/(-351)) - 3. What is the greatest common factor of x and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 11 - -1) + 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - 0. Suppose 3*v + 22 - 88 = y. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 72 and 56352?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4.4 (b) 8\/19 (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, s: 14}. What is prob of picking 4 k?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*i + 10*i - 8. Solve -v + 2 = -s, -7*s - 2*v - 17 = -i*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.06 * 513604\nAnswer: 30816.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 421366 a multiple of 214?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.14887m to centimeters.\nAnswer: 114.887","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 - 4\/8*-74. Let z(h) = q*h - h**2 - 39*h. Let y(g) be the first derivative of g**2 + 1. What is z(y(s))?\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 - 5*f**2 + f + 5. Let j be r(-5). Let d be (13 - j) + (4 - 2). Let n be 1\/((-2)\/(-6)) - 0. Calculate the highest common divisor of d and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 732305323 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1262?\nAnswer: 2, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 52 and 498571660.\nAnswer: 6481431580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-32)\/(-144))\/(80\/90).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0230709 to three decimal places.\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m - 7. Suppose 2*l = -3*i + 7, 9*i - 4*i + 25 = 4*l. Suppose -l = -5*b + 4*b. Give o(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 33812 and 2996?\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1043421124 (base 6) in base 4?\nAnswer: -223120031230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n + 8. Let w be ((-3)\/2)\/(3\/4). Let c = -16 - -12. Let m = w + c. Give i(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/1512*9*(27\/2)\/(-3).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -1244, -2\/21 in ascending order.\nAnswer: -1244, -2\/21, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, 15, 35, 65?\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, u: 3, r: 7}. What is prob of picking 1 o and 1 u?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 + 31. Let p be r(0). Let h = p - 25. Suppose 0 = 9*b - h*b. Solve y + 4*y + 20 = b for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -60*i - 195. Calculate a(-4).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15 - -58. Let d = z - 43.00017. What is d rounded to four decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*k**2\/11 - 2166*k\/11 + 8760\/11 = 0 for k.\nAnswer: -365, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 862*s + 2*s**3 + 4678*s - 1127*s.\nAnswer: 2*s**3 + 4413*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - 1) + (12 + -8 - 7).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*p - 960 = 1154 - 37 for p.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -3 + 1 + -1 + -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 72158352 and 28?\nAnswer: 72158352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2112010101212 - 122?\nAnswer: -2112010102111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 89.36583 years in millennia?\nAnswer: 0.08936583","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 152 + -150. Sort h, 0, -1\/10, 0.1 in decreasing order.\nAnswer: h, 0.1, 0, -1\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -4 + (-3*(1 + sqrt(192)) + -4)*2*-5 + 0)**2.\nAnswer: 34080*sqrt(3) + 177841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbjxxbxbxmkgjkxmx. Give prob of sequence bj.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2\/9 + 2665892*w\/3 - 7997678\/9.\nAnswer: 2*(w - 1)*(w + 3998839)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.81 + -0.81. Which is the closest to -1\/2? (a) -2 (b) 2 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 115*p**2 - 4 + 3 + 80*p**2.\nAnswer: -35*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11889668*g**4 - 165990791*g?\nAnswer: -142676016*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 506789.2000285 - 506754.2. Let h = 35 - i. What is h rounded to five dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 0*m + m**2 - 7*m - 5 + 4*m. Let z(k) = 3*k**2 - 4*k + 3. Let q be z(2). List the prime factors of v(q).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -397155 divided by -5?\nAnswer: 79431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 539048707 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of 13*r**5\/120 + r**4\/24 + 4*r**3\/3 + 5. Let z(m) be the third derivative of k(m). Determine z(-1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 2*i - 3*z - 187 = 0, 2*i = -2*z + 162. Suppose 3*v - i + 2 = 0. What are the prime factors of v?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*g**3 - 6*g*p - 11*p - 1 wrt g?\nAnswer: 9*g**2 - 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -64101550 divided by 18\nAnswer: -32050775\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3243\/5 + (6\/20)\/(10\/(-20)) and 72?\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1376 + -1376.03. Which is the closest to l? (a) 0 (b) -0.4 (c) 0.14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1140444341 (base 5) in base 8?\nAnswer: -12142346","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 = -3*l + l - u - 3, 2*u + 5 = 4*u - 5 for l.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 2*x**2 + x + 1. Let t(d) = 11*d**2 + 5*d + 5. Let b(i) = 5*p(i) - t(i). Let n(o) = 1860*o**2. Give b(n(j)).\nAnswer: -3459600*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -145, -178, -213, -250, -289, -330?\n\"Answer: -t**2 - 30*t - 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 0 - (2592\/9)\/16\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18540102?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10127 = -21*i - 21363 + 9913 for i.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 663?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20, -16, -70, -148, -256, -400, -586, -820?\nAnswer: -1108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -213243321 (base 6) to base 12\nAnswer: -1333541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -6*z. Let b(o) = 11*o. Let g(m) = -5*b(m) - 11*w(m). Let v be (-45 + 5)\/(-8) + -4. What is g(v)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23825, -47646, -71467, -95288?\nAnswer: -119109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 5*u = 11, q + 4*q + 2*u - 18 = 0. Let j = 11 - 7. Solve 0 = 5*n - j*x + 7, -2*n + q*x - x - 7 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 275 divide 22708125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y + 8. What is j(-13)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 3 + 1)*(-3*m + 4*m + m) + (m + 0*m + 0*m)*(0 - 3 + 2) - 303*m - 661*m + 120*m)*(-m + m - 2*m**2).\nAnswer: 1694*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -1502*x + 109649. What is k(73)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/24*-4*(99\/(-132))\/((-4)\/(-864))?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -7, 617, -0.5, 1?\nAnswer: 617","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/50 of a meter?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 0 + (-9 - -3) - (4 + -6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 8. Let l = -11 - -25. Suppose l = -4*h + 78. What is the greatest common factor of d and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 474895327?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 90151861038 - 105026935774167\/1165. Let c = 15163 + d. Let l = 75717\/4660 - c. Calculate the common denominator of l and -65\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3215399, -12861586, -28938559, -51446312, -80384839, -115754134?\n\"Answer: d**3 - 3215399*d**2 + 3*d - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/4)\/(2\/(-12)). Let l = 10 + -5. Suppose -k = -t + 6, -6*k - 14 = -2*k + t. What is the closest to 1 in i, l, k?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 4)*(0*x**5 - x**5 + 5*x**5 + (2*x + x**2 - 2*x)*(6*x**3 + 2*x**3 - 4*x**3) + 5*x**5 - 3*x**5 - 3*x**5).\nAnswer: 14*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18.3 - -18. What is the nearest to 2\/9 in -3\/5, p, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -36 <= -38?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -3*o - 5*f, 12 = 83890*f - 83892*f for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 28133 - 28133 + 300*h in the form j + o*h and give o.\nAnswer: 300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4725 (b) -2\/9 (c) -0.2 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -4. Let z(p) = -p**2 + 2*p - 1. Let c be z(a). Suppose -n + 1 = -c. Is 2 less than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 4*t + 9 - 7 + 2*t. Let g be u(5). Let z = 45 - g. List the prime factors of z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82*c + 165*c - 81*c.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12288 - -3477. Put -5, i, -2 in increasing order.\nAnswer: i, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7777 - 45?\nAnswer: -10044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -50, -55, -60, -65, -70, -75?\n\"Answer: -5*c - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.49 + -4.51. What is the nearest to -1\/2 in 2\/15, -1\/5, b?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1666*j**2*z**4 + 2*j**2*z + 153*z wrt z.\nAnswer: -19992*j**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/1 - (9555\/(-26))\/(-49).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-10)\/(-8) + 2)\/((-1)\/12). Is z at most 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (13*(-27)\/468)\/(1\/((-24)\/(-225)))\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/10 + (-18)\/(-5). Suppose -x = -0*x - h. Suppose -2*c = -x*c. Solve 0*r + r - 2 = c for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -2*s**3 + 2*s**2 - 1. Suppose 5*h - 3*h - u + 2 = 0, 0 = 5*h - 5*u - 5. Let o be (0 + 1)\/(3\/h). Give d(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47 + 9005 = -875*a - 22542 for a.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16132525?\nAnswer: 5, 43, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26325?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -5482?\nAnswer: -1\/5482","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 12.4328 to one dp.\nAnswer: 12.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 212771760?\nAnswer: 2, 3, 5, 886549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 2 - 5)*(0*s - s - 2*s) + 3*s - s + s to the form f + t*s and give t.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 p when two letters picked without replacement from {c: 1, p: 7, e: 3, x: 3}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 3*a = 4*m - 13, -5*a - 5 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 11249*u**3 + 4*u**2 + 2. Let t be v(4). Let x be (-5 - -1)\/2 + t. Round x to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 378 and 2831688.\nAnswer: 59465448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 AM and 2:22 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 320*g**2 + 3 + 313*g**2 - 3 - 648*g**2 + 96*g**3.\nAnswer: 96*g**3 - 15*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 494?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k, 1 y, and 1 v when four letters picked without replacement from jyvjcknyvknj?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 44\/5 of a century?\nAnswer: 10560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.03 times -13393\nAnswer: -401.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(24) + sqrt(96)\/sqrt(4))\/(sqrt(48)*3) + 0 + sqrt(18)*-4 + 3.\nAnswer: -35*sqrt(2)\/3 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 - 12*q - 12. Let v be s(13). Let t be ((1 - 0)*v)\/(-3)*-6. Suppose t*h - 411 = -h. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x - x + 21 = 0. Let h be (-84)\/(-18) + (-1)\/x. Let k be ((-15)\/(-2))\/(h\/10). Solve 5*d - k = -5*u, 7 = 4*d + u - 8 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of -5*n**3\/6 - 1046*n - 1. Let a(c) = -42*c. Give a(w(u)).\nAnswer: 210*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -92 + 112 + -78 - -11.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.3 - -0.2. Let w be 2 - (2044\/44)\/7. Let r = 208\/33 + w. Sort q, r, -0.2.\nAnswer: -0.2, q, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 170 and 595.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 20, 2\/15, -5\/3, -0.3, 0?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 62599 or 62589?\nAnswer: 62599","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 c when three letters picked without replacement from ccaccccaccccccac?\nAnswer: 117\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(63))\/sqrt(9) + ((sqrt(49)\/sqrt(7) + sqrt(7))**2 + -3 - sqrt(7)).\nAnswer: -3*sqrt(7) + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/4 in -1, 2, -0.13, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 5*i + 987 = 0, f - 480*i + 476*i - 273 = 0. Solve 184 = 23*r + f for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -4*j**2 - 197*j + 27. Let a(t) = -12*t**2 - 593*t + 90. What is -3*a(q) + 10*v(q)?\nAnswer: -4*q**2 - 191*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6397 + 6405. Sort -18, z, 0, 5.\nAnswer: -18, 0, 5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11221020102100 + -10?\nAnswer: 11221020102020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*4*(sqrt(110)*-2 + sqrt(110)))\/(sqrt(160) - (-6*2*sqrt(160) + sqrt(160) + sqrt(160)) - sqrt(160)).\nAnswer: -sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -i*j*n*o - i*j*n + 665542*i*j*o - 59072*i*j - 2*i*n + 20*j*n*o + 5*j*n + j - 4*n wrt o?\nAnswer: -i*j*n + 665542*i*j + 20*j*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of 19 and 869206305250.\nAnswer: 869206305269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 + 29*g**2 - 228*g - 864. Give p(-35).\nAnswer: -234","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -28 (b) -1\/2 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -52*n - 620. Let o be s(-12). Solve -o*p + 16 = 8 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -92 + 94. Solve -k*q - 6 = 2 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 22 = -5*w - 18, 0 = -2*i + 3*w + 18. Suppose 0 = 4*o - o - i. Suppose -5 = o*c - 15. Calculate the greatest common factor of c and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1199, 1315, 1507, 1775?\n\"Answer: 38*o**2 + 2*o + 1159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + 2 + 5 - (sqrt(99)\/(sqrt(9) - (sqrt(9) + (sqrt(9) - sqrt(81)) + sqrt(9))) + sqrt(11)))**2.\nAnswer: -14*sqrt(11) + 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*w - 33 = 175*f - 174*f, 3*f - 5*w + 65 = 0 for f.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2*c**3 + c**2. Let n be t(1). Suppose 5*m - 4 = 3*g, 8*m + 5 = n*m. What is the nearest to 0.1 in g, -0.5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 6 = x - 23, a + 1 = 3*x. Suppose -2*j = a*h - 45, 5 = h + j - 7. Solve 0 = 4*n + 2*z - h*z - 20, -2*n - 4*z + 10 = 0 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 240 and 22?\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 112*u - 9. Let a be 85\/75 - 4\/30. Let p = 15 - a. Is k(p) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1183 is divided by 37?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/(i*i**(2\/7)*i)*i*i\/i**(-31) assuming i is positive.\nAnswer: i**(222\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6*3\/36)\/(20\/8)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7.62 + 7.42. Is 6585 equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -64\/262911 and 76\/363.\nAnswer: 2892021","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 3 (b) 1991.1 (c) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*t + 58*t - 120*t = 72 for t.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and 3.7.\nAnswer: -11.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1c923 + 3f5?\nAnswer: -1c52e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 5376.975 to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0.4, 0.09, -120, 0, -0.4, 2 in descending order.\nAnswer: 4, 2, 0.4, 0.09, 0, -0.4, -120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 2\/7, 4\/5, 0.1, 2\/13 in descending order.\nAnswer: 4\/5, 2\/7, 2\/13, 0.1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/4)\/(1722\/1476)*(-1)\/(0 + -1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 5*a + 5064, -10*a + 5064 = 4*r - 6*a. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 8*i - 256. Let q be h(0). Is q < -257?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*a - 10*a + 489 = -103 for a.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*((x*x**1)\/x)\/x)**(-23))**49*(x\/(x*x**1))**(-46)*x**4*x*x**2\/x assuming x is positive.\nAnswer: x**(-1075)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ntb when three letters picked without replacement from {t: 1, b: 1, n: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.85 - 10.15. Let z = g - -16. What is the second smallest value in z, -1\/4, -12, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.353 or 2\/1591?\nAnswer: 2\/1591","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.18 from -553067.\nAnswer: -553067.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 45 and 134\/8*((-4)\/4 + 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 8, 0, -7 in decreasing order.\nAnswer: 8, 0, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**5*(a*(a*a**(-3))\/a)\/a)\/(a**(-2))**15 assuming a is positive.\nAnswer: a**32","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -663 + 5*b + 618 + 9*b + 5*b. Let t be g(-12). What is t rounded to the nearest 10?\nAnswer: -270","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -134, -132, -130, -128?\nAnswer: -126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes before 4:19 AM?\nAnswer: 1:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2*q**3 - 12*q**2 - 6*q - 11. What is the remainder when a(7) is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134369611 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p = 5*u - 4*p - 36, 3*u - 16 = -p. Let h = 191 - 93. Suppose v - 10 = 5*f, v - 4*v = 2*f - h. Solve 10 = -u*a + v for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/657072 and 22\/3549.\nAnswer: 4599504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/(-9))\/(10\/(-45)). What is the biggest value in 1\/12, h, -2\/3?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -202099\/118 - -1713. What is the common denominator of d and 53\/413?\nAnswer: 826","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 2 - 13 = 0. Let r = 1.2 - 0.2. Which is the closest to -4? (a) -0.3 (b) r (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -16*r + 192. What is the least common multiple of 112 and b(-9)?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -58 + 58.061. Let f = 2.061 - q. Which is the fourth biggest value? (a) -3 (b) 2\/11 (c) f (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*i**2 + 1111*i**3 + 3*i**2 - 1112*i**3)*(7*i + 6 - 6).\nAnswer: -7*i**4 + 35*i**3 - 14*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + (sqrt(2268)\/sqrt(3))\/(1*sqrt(18)\/sqrt(6)))**2 + 2)*-6.\nAnswer: -1530 - 72*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 7.7 and 31562489?\nAnswer: 31562481.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + -2*sqrt(396) + 3 - (-4 + sqrt(396) + -1 + 3))*3)**2 + 0.\nAnswer: 32076","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28456563?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -72277*o**2 - 90*o + 448. Let y be u(8). Round y to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -429\/28, 3, -7720?\nAnswer: -429\/28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 54.2 - 54. Which is smaller: -26 or k?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5637 is divided by 17.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -1243.\nAnswer: 2\/1243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**2 - 224*a + 3588.\nAnswer: -4*(a - 13)*(a + 69)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -46*889\/(-14) + -14 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 87 = -3*g, -p - 4*p + g - 85 = 0. What is the remainder when p - 1104\/(-60) - 1623\/(-5) is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-15)\/4 - (-1)\/(-4). Let u(f) = f**2 + 3*f + 1. Let s be u(j). Suppose -4*h = s*a - 102, 4*h = h + 9. Solve -2*i - 3*o + o = 0, a = -i + 5*o for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 6 = v. Suppose -v*s + 17 = -2*s. Suppose 2*y + 0*m = 5*m - s, 5*y = -m + 25. Solve y*t - 5 = -1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -16 <= 77?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.31 at least 3\/40?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -3*f**3 + 14*f**2. Let j(i) be the first derivative of i**4\/4 - 5*i**3\/3 - 1. Let o = 140436 - 140447. Calculate o*j(m) - 4*h(m).\nAnswer: m**3 - m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m - 1. Let w = -4 - 0. Let f be w\/(-14) - 18\/14. Let g(h) = -4*h + 7. Suppose -15*v + 4*c = -17*v + 4, 4 = c. Give f*g(j) + v*i(j).\nAnswer: -2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**3 - 3226*f**2 - 6440*f - 3218.\nAnswer: -2*(f + 1)**2*(2*f + 1609)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -23963 to the nearest 1000.\nAnswer: -24000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1043\/5 + -208. Let x = -170423\/159954 + 876\/503. Let w = -1\/106 + x. Which is the nearest to 2\/5? (a) -0.3 (b) r (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2712 - -2786. Let o = 16 + 6. Let m = c - o. Does 8 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8 + 2 - 8)*(358*m + 301*m + 5*m) + 5*m - 5*m + 2*m in the form q + v*m and give v.\nAnswer: -9294","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9245 = -25*g + 9545 for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 118610209?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1248890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 467, 470, 473, 476?\nAnswer: 479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -472.0117 + 0.4117. Let j = g - -398. Round j to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(72) + 1 + sqrt(32).\nAnswer: 1 + 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -65 - -69. Let t(n) = -n. Let a(g) = -6*g + 2. Give d*t(v) - a(v).\nAnswer: 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15*o**5 - 4977*o**4 + 6*o**3 - 2267440*o**2.\nAnswer: -900*o**2 - 119448*o + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -23*k**3 - 84*k**2 - 4*k - 114. Let q(c) = 18*c**3 + 67*c**2 + 3*c + 90. Let n(h) = 14*q(h) + 11*t(h). What is n(14)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9 and 204?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 709 * 1.02.\nAnswer: 723.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a + 0*a + 0*a to s*a + n and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(190)*2)\/sqrt(10) - (2*sqrt(152))\/sqrt(8) - (5 + (-2 + sqrt(19))*-2))*-1.\nAnswer: -2*sqrt(19) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 79613*b + 4445*b**2 - 79613*b + 2 in the form n*b**2 + i + z*b and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -405? (a) -2 (b) -7 (c) 5 (d) -3 (e) -487\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 7*s - 1. Give q(-4).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 3*y**2\/4 + 80325*y\/4 - 20082 = 0.\nAnswer: -26776, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -10 + (-31 - -17) + 15\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 588 (base 14) to base 13.\nAnswer: 668","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 7) in base 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 + 6*r - 4. Let i(y) = -y**2 + 6*y + 1. Let a be i(5). Let l be x(a). Let g be (-20)\/(-6)*(-6)\/l. Sort 1\/3, g, 0.2 in decreasing order.\nAnswer: g, 1\/3, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 + 4*m**2 - 3*m + 4. Let z be l(3). Solve d = 2*d + z for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.81 in 4, -5, 50, 25?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 84238807?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/70092 and 25\/834732?\nAnswer: 9182052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1\/4 (b) 5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22544\/135 - 167. Is t smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 183*g**2*k - 2*g**2 + 3*g*k - 702*k wrt g?\nAnswer: 366*k - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -889\/590 - -2\/295. Let r(k) = -3*k + 5. Let t be r(1). Suppose -3*l = -5*x + t*l - 15, -19 = 5*x - 3*l. What is the third smallest value in z, x, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of k**2 - 1\/12*k**4 + 0 - 49\/6*k**3 + 8*k. Let s(i) = -3*i**2. What is s(o(z))?\nAnswer: -12*z**2 - 588*z - 7203","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2002 divided by -19.\nAnswer: 2002\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25 and 2475?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 185193 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*c + 75*c - 23224 = -13284 for c.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 14583, 14583, 14575, 14553, 14511, 14443, 14343?\n\"Answer: -v**3 + 2*v**2 + v + 14581","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 3 = -4*o, -4*o + 0*s + 12 = 4*s. Let j = o + -8. Let r be j\/(-20) - (-16)\/10. Solve -12 = r*i + i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43, 93, 169, 283, 447?\nAnswer: 673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = -4*a + 85. Let j = 69 - 39. What is the remainder when j is divided by a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73027937 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 6 - (-4 + 2 + 1 - -7)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - -5. Is (-1 - g - -1) + (27 - -6109) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -5*v**4 + 0*v**4 - 587*v - 1985*v**2 + 4410 - 179*v**3 + 692*v + 2520*v - 26*v**3 = 0.\nAnswer: -21, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 42, -4, -72, -168, -298, -468?\n\"Answer: -x**3 - 5*x**2 - 24*x + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3145283 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/177)\/(-8*((-36)\/(-12))\/24)\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of -k**5\/60 - k**4\/12 + 5*k**3\/6 - 2*k**2 - 44. Let r(v) = 2*v**2 + 5*v - 11. Determine -4*r(m) - 10*t(m).\nAnswer: 2*m**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6394788 and 731?\nAnswer: 731","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 8, q: 5}. Give prob of picking 2 q.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -4*a**5 + 1300*a**4 - 158416*a**3 + 8624768*a**2 - 182000768*a + 330749120 = 0.\nAnswer: 2, 65, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -956*c**5 + 12432*c**4 + 78340*c**3 + 133512*c**2 + 68272*c - 288 = 0?\nAnswer: -2, -1, 1\/239, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 28647 - 28756.185. Let k = t - -0.185. Let r = k + 108.9933. What is r rounded to 3 dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.2 + 1.17. Let q = n + -0.17. Put q, 2\/3, -4 in increasing order.\nAnswer: -4, q, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-57 + 66)\/((-1085)\/(-535) - (4 - 2)). Solve -o*n = -325*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vsvvsgsvsg. What is prob of sequence gsvs?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*c + 38 = -35*c. Solve 4*y - 16 = -2*p, -7*p - 16 = -4*p - c*y for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*d**3 + 1474*d - 10027*d - 6*d**2 + 6*d**2 + 8553*d.\nAnswer: -5*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -5, 0, -24, -55, 36 in increasing order.\nAnswer: -55, -24, -7, -5, 0, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of 0*c**2 + 0*c + 3 + 5\/3*c**3. Let j(x) be the first derivative of x**2\/2 + 3. What is q(j(s))?\nAnswer: 5*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2*l**2 - 11*l - 5. Let o(b) = -3*b**2 + 13*b + 6. Let z(i) = -7*n(i) - 6*o(i). Determine z(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 + 16*i**2 + 18*i + 68. What is the units digit of l(-13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + -b1b?\nAnswer: -b17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 541932 (base 11) in base 13?\nAnswer: 2443b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -58548 * 2\nAnswer: -117096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -11848.644434 rounded to the nearest one thousand?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -43 - -293. What are the prime factors of c?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 = 3*j + 4*d, -3*j - 12*d + 2632 - 2641 = 0 for j.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a meter in centimeters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -44.968 - 1.032. Which is the nearest to -1\/3? (a) s (b) -3\/5 (c) -3 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -0*o - 12. Let n be 2\/(-2 - o\/(-3)). Let q = 0 + -1. What is the closest to -1 in q, -0.5, n?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -895, -1789, -2683, -3577?\nAnswer: -4471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/m**(-2\/13))*m*m\/(m\/(m*m**(2\/9))))\/(m**(-3\/8))**5)**33 assuming m is positive.\nAnswer: m**(40601\/312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6\/(-4))\/((-99)\/12). Let s(f) = -8*f + 97. Let a be s(12). What is the nearest to 3 in v, a, 1\/3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1639*j + 337*j + 233*j + 48454 = 2392*j for j.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = g - 5, 0 = -2*p + 5*p + 4*g - 29 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -i**3*z + 310205*i**3 - 96403*i**2*z - 1 with respect to z.\nAnswer: -i**3 - 96403*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 472.9676 centuries to decades.\nAnswer: 4729.676","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 32023523 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f*f**(-6\/11))*f*f*f**(-2\/57))**47)**(-18))**(-2\/27) assuming f is positive.\nAnswer: f**(295912\/1881)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2 - 3*o. Let x(p) = p. Let v(m) = 6*x(m) + 2*y(m). Let d(j) be the second derivative of 0 + 2*j + 0*j**2 - 1\/6*j**3. Calculate d(v(b)).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -21 - (29 + -31)*(2 + 2). Let s(m) = -4*m - 29. Give s(r).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2198, -8840, -19886, -35336, -55190, -79448?\n\"Answer: -2202*w**2 - 36*w + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 96534786 and 2874?\nAnswer: 96534786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 1359*k + 1362*k = -23, -20*v + 4*k = -100 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnknooonknoonooooo. What is prob of sequence ookk?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -5*n + 5. Let b(j) = -10*j + 24 - 16*j + 2*j. Suppose -4*s - 22 = 3*d, 3*s + 61 = -4*d + 4*s. Calculate d*x(t) + 3*b(t).\nAnswer: -2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(90)\/sqrt(54) + ((sqrt(120) + (sqrt(120)*-1 - sqrt(120)))\/sqrt(8) - sqrt(15)))\/(sqrt(125) + (sqrt(125)*2*6 - sqrt(125))).\nAnswer: -sqrt(3)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 17.715952 to two decimal places.\nAnswer: 17.72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -5*f - 11. Let l be 2\/(-4) + f\/(-2). Suppose x = 2*r - 51, -r + x + 74 = l*r. List the prime factors of r.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -328 by -36.\nAnswer: 82\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 5*y + 40 = 0. Suppose 0 = -2*m, -m - 12 = -4*b + 4*m. Solve -b*i = 3*r + 7 + 2, 2*r + 4*i = -y for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -4*w**3 + 4*w**2 + w - 3. Let t(i) = 9*i**3 - 9*i**2 - 2*i + 7. Let y = 26 - 21. Let z(a) = y*m(a) + 2*t(a). Calculate z(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-2))\/((-16)\/32)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -342800 divided by 85700\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -421454231 (base 6) to base 3\nAnswer: -111212002212101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26 + 140. Let m be (-3)\/(q*(-3)\/(-12)). Which is the nearest to -1? (a) m (b) -0.2 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + q = 516. Is 32 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1674 + 23397\/14. Let x = -14597 - -10074. Let f = x - -126669\/28. What is the common denominator of g and f?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 1733*b + 14. Let d(f) = 1507706*f + 12187. Let v(m) = 2*d(m) - 1741*j(m). Let a(c) = c. Give a(v(h)).\nAnswer: -1741*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, 1039, 1506, 5.\nAnswer: 1, 4, 5, 1039, 1506","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10430*n**3 - 10430*n**3 - 34*n**4 + 770*n**2 wrt n.\nAnswer: -816*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 94.8404 weeks in days?\nAnswer: 663.8828","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*l - 166*l = 52*l. Solve l = -3*m - 2*o, -9*m + 6*m + 4*o = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 280 and 33522328?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 43334 (base 5) in base 8?\nAnswer: 5631","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (((-2)\/(-7))\/(69\/(-322)))\/(2\/51)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 71978 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 15322 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -100863, -100697, -100425, -100047?\nAnswer: -99563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 + 17*c**2 - 18*c - 2. Let w be o(-18). What is the closest to w in 1\/2, 10, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 190 and 418.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 225\/36*(-12)\/(-30)*28\/5.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13922 + -13629. Calculate the remainder when 874 is divided by a.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -61145 divided by -35?\nAnswer: 1747","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 + 11*w**2 + 5*w + 22. Let v be b(-10). Calculate the greatest common divisor of v and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 - -17. Which is the third smallest value? (a) 3 (b) 5 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -3*y**4\/2 - 15*y**3\/2 - 3*y**2 + 12*y = 0?\nAnswer: -4, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1388417?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p. Let t be a(-5). Suppose -2*o - f = 2*o + 20, -t*f - 4 = -4*o. Let x(q) = -393*q + 13. Is x(o) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of 136*f + 0*f**2 + 85 + 53\/2*f**4 + 0*f**3. What is the first derivative of p(a) wrt a?\nAnswer: 318*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 104 + 94. Let o be -1 + 82 + j\/1. Suppose 5*z - 6*z = -o. What is the remainder when z is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 34 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 AM and 7:19 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 70234, 281026, 632340, 1124176, 1756534?\n\"Answer: 70261*x**2 + 9*x - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 344890 = 653912. Suppose -k = -3*r - 40482. Is 1*(r\/28 - (-2)\/7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 14.71 and -0.57.\nAnswer: 14.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4 + (12\/4 - 85). Let t = y + 153. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (1076\/20)\/((-13)\/(-65)) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16*g*n*t + 63*g*t + 69297*g + 20117679*n*t - 8*t with respect to n.\nAnswer: 16*g*t + 20117679*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 3 + 0 + -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 8 = 4*a, a + 1 - 5 = 2*v. Let r be (-4 + 6)\/(v\/25). Let f = 73 + r. What is the highest common divisor of f and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - -2) + 38 + -35.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*b + 6229 = 15*b + 3473 for b.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 30\/(-9)*(-9)\/6. Find the third derivative of 5*b**4 + z*b**2 + 4*b**4 - 12*b**4 wrt b.\nAnswer: -72*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16200829 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than 1\/129598721?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 3*t + 6, 0*t + 2 = 2*j - 5*t. List the prime factors of (0 + 3)*(-573)\/j.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1d7b (base 15) to base 8\nAnswer: 14420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 126 - -63. Suppose -57 = -3*v + 54. What is the remainder when v is divided by 42\/t + 338\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - j - 438 = -3*f, 3*j = -3*f + 432. List the prime factors of f.\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -4*g**2 - 220*g + 5. Give z(-55).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 0, 22, 60, 114, 184?\n\"Answer: 8*f**2 - 2*f - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 5*-16.9\nAnswer: -84.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 - 14.49. Let l = y - -0.4899973. Round l to 6 decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 - 26*p**2 - 12*p + 310. Let r be a(26). Suppose 4*b + 4*x = b - 13, -12 = 4*b + 4*x. Sort b, 90, r in descending order.\nAnswer: 90, b, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -13*y - 24. What is the remainder when d(-10) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fppeyay. Give prob of sequence yp.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 1319498?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 338*m = 339*m + 270. Let w = m - -269. Let f be 1\/(-4)*8\/(-63). Which is greater: f or w?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, 0.3, 2, 6.5?\nAnswer: 6.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.02 or -42653\/46?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 0)*(-i**4 - i + i) + 0*i - i**4 + 0*i + (2 - 2*i**2 - 2)*(i**2 + 5*i**2 - 3*i**2).\nAnswer: -9*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 449*a - 967. Calculate v(3).\nAnswer: 380","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-5 - 0) + (5 - 3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -26 + 44. Let b be (-30)\/(-135) - 58\/p. Is 3*(-4 + (-89)\/b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (93*101\/(-9393))\/(23*3\/(-18))?\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p**5 + 1668*p**4 - 13394*p**3 + 23472*p**2 + 13393*p - 25140 = 0. Calculate p.\nAnswer: -1676, -1, 1, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 39881 and 2166.\nAnswer: 4546434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a**3 - 11*a**2 - 8*a + 4. Give f(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 301 (base 8) to base 2\nAnswer: 11000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2151045?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 AM and 7:00 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -4*k. Let l(d) = d - 6*d**2 + 3 - d**3 - 2*d - 4*d + 0*d. Let c be l(-5). Let i(y) = 6*y - c*y - 2*y. Determine p(i(v)).\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2 + 17. Let m(l) = -301828 - 2*l**2 + 301810 + 3*l**2. Calculate -4*m(g) - 5*y(g).\nAnswer: g**2 - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -53*m**4 + 8*m**3 + 74. Let z(o) = -35*o**4 + 5*o**3 + 49. Let n(y) = 5*b(y) - 8*z(y). What is the derivative of n(l) wrt l?\nAnswer: 60*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 AM and 6:49 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 9:23 AM?\nAnswer: 7:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 13553529?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 1 - 2*i - 28*i - i + 0 + 0. Let h(o) = -13*o - 9. Let u(r) = -3*r - 2. Suppose 25 = 4*d - 11. Let v(k) = d*u(k) - 2*h(k). Determine w(v(l)).\nAnswer: 31*l + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 46 - 42. Suppose 6 = 4*s - 6. Find w, given that -9*w**2 - 3*w**y - 24*w + 40*w + 9*w**s - 13*w = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + j**3 + j**3 + 0 + 37*j + 2*j**3 - 37*j - 2*j**3 + 2*j**3 + j**3 - 1 + 1 - j**3 + (-5*j + 2*j + 5*j)*(0 + 2*j**2 + 0).\nAnswer: 8*j**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a litre in millilitres?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 34959543 to the power of 1\/2, to the nearest integer?\nAnswer: 5913","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 520446564 divided by 3?\nAnswer: 173482188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -33 + 18. Let n = 13 + j. Let w = n + 12. What is the remainder when 17 is divided by w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of z**6\/240 + z**4\/4 + 4*z. Let k(q) be the third derivative of h(q). Let r(a) = a. Give k(r(c)).\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*q**2 + 1307 + 0*q**2 - 8*q**2 - 1307.\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 49 by 1.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w - 2*w + 2*w)*(-9*w + 12*w + 0*w**4 + 3*w**4).\nAnswer: 3*w**5 + 3*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p\/(p\/(p*p**(1\/3))*p)))**(3\/26)\/(p**1)**(-2\/101) assuming p is positive.\nAnswer: p**(-49\/2626)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -128*x + 1251. Determine w(10).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2138871 and 179?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6.61 + -0.39. Suppose -2*x = -5*x + 3. Which is the nearest to -0.2? (a) q (b) -4 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 AM and 6:56 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104 + 146 - 3*n - 87.\nAnswer: -3*n - 45","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -v + 316, -2*v + 5*u + 4560 = 3844. Suppose 0 = b + 3*m - 27, 0 = -3*b + m + 19 + 82. What is the remainder when v is divided by b?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -495 - 2715 = o. Let u be ((-15)\/(-75)*15\/9)\/(5\/90). Let a be 11757\/u*o - 5. Round a to the nearest 100000.\nAnswer: -6300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-6)\/2 - (3\/(-4) - 65221\/23528) and 69\/1120?\nAnswer: 19040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15780.847 - 15908.9. Let j = c - -128. Let k = j - -0.05312. Round k to four decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(85))\/sqrt(5) - (sqrt(17) - (0 + sqrt(1700))))**2 - (1*(1 + (sqrt(2057) - (sqrt(2057) + -2))))**2.\nAnswer: 2048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 101101 (base 3) to base 6\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cdrvdrrvdvrvcrrcdrd. Give prob of sequence vrcr.\nAnswer: 7\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 + w - 1. Let d(j) be the third derivative of -j**5\/20 - j**4\/6 + 7*j**3\/6 - 5621*j**2. Give -d(u) - 5*l(u).\nAnswer: -2*u**2 - u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -48.107*167\nAnswer: -8033.869","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 4*o + o = 0. Let j(l) be the second derivative of -1\/12*l**4 + 0 + 2*l + o*l**2 + 0*l**3. Let y(a) = a**2. Determine j(y(k)).\nAnswer: -k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20132 + 0?\nAnswer: 20132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.0153 + -0.0153. Let k = 10 + -4. Let d be 3\/(k\/(-4)) + 6. What is the biggest value in d, q, 3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.17 - -0.03. Let s = -105 - -106. Let q be (-3 - s) + (-1 - 0)*-1. Which is the nearest to o? (a) q (b) 0.3 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 18*u - 19*u + 683, -847 = -5*o + u. Calculate the remainder when 442 is divided by o.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, 0.1, 1531, 5\/2, -0.1, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7924 = -98*q - 652*q + 184*q for q.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25468 is divided by 387.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1113840 by 168.\nAnswer: -6630","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 785328197 to the power of 1\/2, to the nearest integer?\nAnswer: 28024","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 459*p - 1390*p + 469*p + 468*p.\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 PM and 9:49 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -144 + 156. What is the remainder when 34 is divided by o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 - 174*t + 5371. Give z(40).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 - 24 = -3*w. Let x = 407 + -395. Calculate the greatest common factor of x and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(624)\/sqrt(3))**2 - (0 + sqrt(52)).\nAnswer: -2*sqrt(13) + 208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3324 divided by 277?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2\/11, -2, -23.5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8\/4*(-72)\/(-16). Suppose u*o - 4815 - 1215 = 0. What are the prime factors of o?\nAnswer: 2, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 3 = -6*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the third derivative of -z**6\/300 + z**5\/50 - z**4\/20 + z**3\/15 + z**2 + 60. Factor o(t).\nAnswer: -2*(t - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 2*k = -173, f - 92 = -k - 36. Suppose 3*n + 9 = f. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - (3 - -22))*-1. What is the remainder when 73 is divided by (x\/(-3))\/(3\/(-9))?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102011111 + 11?\nAnswer: 102011122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3179 > 41346\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19475, -38948, -58421, -77894, -97367, -116840?\nAnswer: -136313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 515732.1 months to centuries.\nAnswer: 429.77675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*x**2 + 6*x**2 + 0*x**2)*(1 - 1 + 3)*(3 + 3 - 5)*(4 - 4 - 4)*(3 - 3 + 1).\nAnswer: 36*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-240)\/(-32)*4\/5.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 16 = 3*o, 0 = -o + 3 + 1. Does 21 divide ((-40)\/m + -3)\/((-2)\/(-12))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 393 divide 172979343?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**4 + 106*a**3 - 2701*a**2 - 5724*a - 2916.\nAnswer: -(a - 54)**2*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oj when two letters picked without replacement from {v: 2, x: 1, j: 1, c: 1, k: 2, o: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 + 17. Let v(s) = -s**2 + 2*s + 4. Give v(w).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p - 1 + 1)*(19 + 16 + 4)*((1 + 0 - 2)*(2 + 0 - 1) + (-4 + 2 + 3)*(-4 + 1 + 1)).\nAnswer: -234*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 + 13*z**2 + 2*z - 18. Let h be u(9). Let v be ((-8)\/6)\/((280\/h)\/7). Let f be 1*(-15 + (-2 - -5) + 1). Which is bigger: f or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 418 and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express n**3 - 3*n**3 + n**3 + (3 - 3 - n)*(n**2 - 3 + 3) + 3*n**2 + 4*n**3 - 3*n**2 + 59*n - 59*n - 6*n**3 as p + r*n**3 + y*n**2 + o*n and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11182 is divided by 5590?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of 3*l**4\/4 + 3*l. Let z(i) be the third derivative of -i**5\/60 - 4*i**2. What is t(z(v))?\nAnswer: 9*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*u + 10*u - 8*u)*(1 + 18 + 25)*(1 + 3 - 2).\nAnswer: 1848*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -2*v**2 - 9*v + 1. Suppose -u = f + 2 - 3, 0 = -f + 5. Suppose 4*b - 70 = -b. What is the remainder when b is divided by o(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13751 + 2825 = 16*m. Is m a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3385, -3\/4, -0.5374 in ascending order.\nAnswer: -3\/4, -0.5374, 1\/3385","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 - 21*y**2 + 17*y + 23. Let s be n(-22). Suppose s*j - 95 = 132*j. List the prime factors of j.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106568 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 16587041 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 90492031?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 101911, 101890, 101869, 101848, 101827, 101806?\nAnswer: 101785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 + 5*x. Let y be d(5). Let o = 1 + y. What is the greatest common factor of 2 and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 - -4. Let p = 10 - 14. Suppose 0 = z + 4*q - 22, -2*z - 3*q + 5*q = 6. Put v, p, z in descending order.\nAnswer: z, p, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3104333 (base 5) in base 2?\nAnswer: 1100010110100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f + 84 + 12. Let o = f + 27. Solve 0 = -8*y + o*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-19180)\/(-31647))\/((-12)\/22)\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -k + 3*k + 2*i, -35 = -5*k + 4*i. Suppose 3*o - k*w = 0, 3*o = -w + 3*w + 4. Let h(y) = -y**3 + 6*y**2 - 7*y + 5. Determine h(o).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.03 and -142.63.\nAnswer: 4.2789","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q - 23*q - 15*q + 7*q. Let j(x) = -12*x**2 + 15*x. Let y(s) = s**2 - s. Let u(t) = j(t) + 15*y(t). Give d(u(z)).\nAnswer: -96*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 + -12.6. Let t = -6 - -1. Let m = t - 0. Put -4, m, k in descending order.\nAnswer: k, -4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8351508 a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1555 + 4601 = 2*v. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 79421, 79426, 79425, 79412, 79381, 79326, 79241?\n\"Answer: -u**3 + 3*u**2 + 3*u + 79416","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1540, 1, -9 in descending order.\nAnswer: 1, -9, -1540","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 18268*s + 6 = 18273*s, 5*s = -x + 11 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 43603 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -3*v - 2*g + 11, 2*g - 8 = 0. Suppose c - 6 = 3*p - 3, -4*p = v*c + 80. What are the prime factors of 139\/2 - c\/8?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 338244 divided by 852\nAnswer: 397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-12)\/9*2*(-9)\/(-6). Does 16 divide ((-10)\/(-20))\/(h\/(-1024))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 36946.3782 to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 12 + 8, -4*c = -3*j - 14. What is the second derivative of 0*x - x + 3*x - x**j wrt x?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 1168 = 4*d, -3*g = -5*g + d + 590. Is g <= 294?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 157328006?\nAnswer: 2, 11, 7151273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -620*r + 2272 = -617*r + 5*w, -4*w = 4. What is the hundreds digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 11 = d. Let o = -7 - d. Suppose -o = -7*g + 3*g. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2877681?\nAnswer: 3, 959227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/11925 and 61\/2385.\nAnswer: 11925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -15, 4, 5, -1, -479.2?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 5, -v + 1 - 5 = -5*r. Let m(g) = 336*g**2 + g. Is m(r) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 6:25 AM?\nAnswer: 10:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 23, 120, 281, 506?\n\"Answer: 32*p**2 + p - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27735*b**3 - 3*b + 3*b - 30154*b**3.\nAnswer: -2419*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 110 + -109.5. Which is the second biggest value? (a) -1\/7 (b) 29 (c) 4 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 21 = -0. Suppose -18 = f*p + 3. What is the tens digit of ((340\/6)\/(-2))\/(p\/9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -348, 12, 2, 4, 3 in descending order.\nAnswer: 12, 4, 3, 2, -8, -348","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwfqqqwrrfrwqqqfrq. What is prob of picking 3 r?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -304 - -464. Is l a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -10017644.\nAnswer: 1\/5008822","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 42\/(-28)*(177928\/(-12) - 4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 PM and 8:58 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.11 + 1.21. Let h = y - 0.9. Is 1 equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 305 and 5406796?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -31089 + 22179. Let v = 8910.4077 + c. Let u = 0.41 - v. What is u rounded to 3 dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*n**2\/11 - 84*n\/11 - 90\/11.\nAnswer: 6*(n - 15)*(n + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 210465?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 - -86. Suppose 9*u - 110 = a. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - 79dc?\nAnswer: -79da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 20193225?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 7013150.46 and 20?\nAnswer: 7013130.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 122551223 (base 6) in base 2?\nAnswer: 1001000100101011011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of -4*k**3 - 11*k**2 + 30. Find the second derivative of v(c) wrt c.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 - 5*u + 41. Let x(b) = -b**3 - 6*b**2 - 11*b - 26. Let d be x(-5). Let g be w(d). Solve -g*q + 5*a - 3 = -2*q, 0 = 5*q + a + 5 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/(-10))\/((-174)\/290). Which is the smallest value? (a) -108 (b) -0.3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1288)\/(-420))\/(-46)*2.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 343*c - 335*c = -40 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 12 = -0*p. Let b(u) = -4*u - 2*u**2 + p*u. Let d(y) = -13*y**2 - 2*y**2 + 18*y**2. Determine d(b(f)).\nAnswer: 12*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 2*m**3 - 306*m**2 - 2230*m + 64. Calculate x(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of -5\/3*n**3 + 0*n**2 + 0*n + 3. Let h(u) = 5*u**2. What is h(j(t))?\nAnswer: 125*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 12, -11, 2 in descending order.\nAnswer: 12, 2, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 + -2 + (-12099993 - 0) + -2. Round h to the nearest 1000000.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -2*k**2 - 5*k + 1. Let m = 4 + 18. Suppose 3*i + m = 5*i. Calculate the lowest common multiple of a(0) and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in -5, 2\/9, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-336)\/144)\/((-2)\/8 - (-41820)\/167472) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 370? (a) 4 (b) 424 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 3:10 PM?\nAnswer: 11:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 1\/9, 4.3, -7\/3, -2\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -165 - -162. Suppose 3*l = 2*l - 1. Which is the nearest to 2? (a) -0.2 (b) l (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - -86) + (25 + -42 - -36) + -30?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-3551)\/(-52) - (-60)\/130)\/((-2)\/(-88))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -304?\nAnswer: 3\/304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 926 + -530. Suppose -5*m + t = -m. What is the tens digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 52\/5 of a millennium?\nAnswer: 1040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -b**3*t + 1243*b**2*t**3 - 4*b*t**3 - 3*b*t + t**2 wrt b?\nAnswer: -6*b*t + 2486*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - -340?\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11 and 121.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1904318 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -4488 divided by 3?\nAnswer: -1496","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h. Let g(v) = -10*v + 2. Let k(q) = -11*q + 3. Suppose 3*c = -5*t - 14, 4*t + 20 - 7 = -3*c. Let m(x) = c*g(x) + 2*k(x). Give m(o(a)).\nAnswer: 8*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.06578 > 49\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (26\/(-195))\/(36\/540)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(125)*-1)**2*1.\nAnswer: 750","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1105430556 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from pdddppdddddd?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 34249 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t + 5. Let k(w) = 60*w - 351. Let q be k(6). Determine i(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 - 19 = -2*r. Suppose r - 7 = -2*u - 2*q, 0 = -5*u + 4*q - 8. Let z be u\/(-14) + 18\/(-14). Which is bigger: z or -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.18 + 0.12. Let b = 2707.92 - 2708. What is the smallest value in b, 2, d?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 3*x - 177 = 0, 2*u = -2*x + 89 - 11. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = 2*c - 8 + 11, 0 = 3*k + 3*c for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 9960300 divided by 252\nAnswer: 39525","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*2261352.\nAnswer: -11306760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 847 is divided by 175?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/63334953 and -56\/143?\nAnswer: 823354389","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 288 by 144.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 9*c - 193. Determine u(22).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -6189550561819 take away 0.2?\nAnswer: -6189550561819.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 29120, 29117, 29114, 29111?\n\"Answer: -3*v + 29123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -3*t - 0*t + 9*t. Solve 4*c + 5*y + 37 = t, 0 = 2*c + y - 4 + 15 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -9, 0.3, -7\/6, 5\/2.\nAnswer: -9, -7\/6, 0.3, 5\/2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*y**3 - 87*y - 34*y + 122*y.\nAnswer: 20*y**3 + y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -8, -5, -21618 in descending order.\nAnswer: 2, -5, -8, -21618","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 5:37 PM?\nAnswer: 4:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-73 - (2 - -105)) + 47 + (1 - 3) + 8.\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/(v\/(v*v**(1\/12)))*v\/((v\/(v**(-1\/6)*v))\/v)*v**(1\/5)*v*(v**(2\/55)\/v*v)\/v assuming v is positive.\nAnswer: v**(2081\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + (-2)\/1*-1. Let c be 1008\/24*(-2 + h). Let d = -32 - c. Calculate the remainder when 17 is divided by d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -c*u**2 - 45*c*u - 177*c - 3*u**2 - 6592*u wrt c.\nAnswer: -u**2 - 45*u - 177","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -201 = 5*g - 556. Is 22 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/(-8) + 109545\/(-62130)\nAnswer: -1\/76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 319?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 3 l when four letters picked without replacement from {l: 5, p: 3, g: 2}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand g - 4*g**3 - g + g**3 + g**3 - 4*g**3 + (0*g**2 - 4*g**2 + 2*g**2)*(-2*g + 2*g + 2*g) + 2*g**2 - 2*g**2 - g**3.\nAnswer: -11*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -23828, -23712, -23506, -23198, -22776, -22228, -21542, -20706?\n\"Answer: 2*l**3 + 33*l**2 + 3*l - 23866","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-3)\/6)\/((-2)\/(-1084)*-1). Suppose -6*i + b + 245 = 0. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 173 - 98. Let c be (-432)\/(-24)*((-12)\/(-9))\/(-2)*-10. What is the greatest common divisor of g and c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 92223876?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9061266 millilitres to litres.\nAnswer: 0.0009061266","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 4*s**2 + 9*s + 5. Determine x(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 715 and 20280?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1383\/44)\/((-96)\/(-64)) - 7*(-8)\/1232.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -423.29 + 425. Let h = y + -1.71139. Round h to 4 dps.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 149356?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = 10*o - 25*o. Suppose o*s = -24*s + 11312. What are the prime factors of s?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 18 = 2*z - 7*k, -2*z + k = -10. Calculate the highest common divisor of z and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16900590575+0.01\nAnswer: -16900590574.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3. Let w(h) be the second derivative of 7*h**5\/20 + h**4\/6 - h**2\/2 + 13*h. What is 5*j(r) + w(r)?\nAnswer: 2*r**3 + 2*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1077593?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * -0.74943343.\nAnswer: -0.299773372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 181123?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -19402 - -36d?\nAnswer: -19073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -3*t**2 + 2*t + 2. Let d be ((-36)\/(-12))\/((-3)\/(-2)). Let v(z) = z**2 - z - 1. Determine d*v(b) + c(b).\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 877 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10101001000101111 + -10?\nAnswer: -10101001000110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of 2*q**3 + 24*q**4 - 4*q**3 + 16*q - 2*q**3 + 27 - 25*q**4. Suppose y(h) = 0. What is h?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 7*a - 4*a. Let o be 2\/((-6)\/27) + a. Let r = 74 + o. Is 10 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*g + 24 = 7*g + 8*g for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 PM and 12:01 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - k + 47 = g, 2*g - 16 = k. Let x(r) = -10*r + 15*r - 1 + g*r + 6*r. List the prime factors of x(3).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 1 = -9. Suppose 3*d - 25 = -k*d. Suppose -70 = -d*v + 30. Calculate the least common multiple of v and 18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -224 > -224?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -s**2\/7 + 1812*s\/7 - 56960\/7 = 0.\nAnswer: 32, 1780","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) 14.2 (c) 46 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -200222110021012 (base 3) in base 6?\nAnswer: -1000105222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15748?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4394340035?\nAnswer: 5, 149, 5898443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 + -12)*(3 - (9 - 440\/16))?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 549 = 3*j - 3462. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 + -8. Suppose -4*c + 4 = 2*m, 4*m - c + 2 = d*m. Suppose 79000002 = 5*t - 2*i, -23412407 = -t - m*i - 7612409. Round t to the nearest 1000000.\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99*k - 1156100 = 1768459. What is the thousands digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7705 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/((n\/n**(-2))\/n))**22 assuming n is positive.\nAnswer: n**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**4\/7 - 6*c**3\/7 + 50*c**2\/7 - 6*c.\nAnswer: -2*c*(c - 3)*(c - 1)*(c + 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/96*-3*-36. Let u(h) = -3*h + 10 + h + 1. Let a be u(g). Which is bigger: -9 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -16.4 not equal to 1.33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 103350?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*p**2 - 87*p - p**3 + 121*p + 234*p + 164*p + p wrt p.\nAnswer: -6*p + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 104 + -127?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 75 - 69. Suppose 3 = -o*f + 3. What is the derivative of -30*m - 18 + f*m + 4*m wrt m?\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 136344446 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 11 = -6. Suppose t + l*t = 84. What is the greatest common divisor of 112 and t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 - 11*z**2 + 54*z - 826. Give t(11).\nAnswer: -232","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 24*x**4 - 69*x**3 + 5*x**2 - 83*x + 15?\nAnswer: 576*x - 414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 42\/30 - 4\/10. What is the first derivative of 8 - h**2 + 0*h**2 - k - 4*h**2 wrt h?\nAnswer: -10*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 15940*h**2*l + 2*h*l**3 + 63808*l**3 wrt h.\nAnswer: 31880*h*l + 2*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -w - 3 + 6 - 2 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-3*sqrt(175))**2 - (-2*sqrt(35))\/sqrt(5)).\nAnswer: 4*sqrt(7) + 3150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1192 and 1577.\nAnswer: 1879784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of 4*r**3\/3 + 3*r**2 - 5*r. Let j be s(-2). What is the units digit of 330\/4 - j\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12192 + 12194. Solve -d*s = 3*j + 7, -3*s + 41 = -5*j + s for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 4*a - 52, 31 = -0*a + 3*a - j. Let s be (-6)\/(-39) + (-732)\/26. Let w = -6 - s. What is the greatest common factor of a and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 - 6*n**2 + 33*n + 27. Is g(9) a multiple of 81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 + 11. Let r = -56 - -51. Put r, d, 0.1 in increasing order.\nAnswer: r, 0.1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 191 - 189. Suppose -2*f - 4*c = f - 14297, 5*c = y*f - 9516. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2*r**3 - 2*r + 2. Let l be -2 - -10 - 4\/(-2)*-1. Let m(s) = s**2 - 10*s + 13. Let i be m(9). Let v = l - i. What is j(v)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (6 - (17 - 2) - -7)) + -42 + 114.\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -370056.854 rounded to the nearest 100?\nAnswer: -370100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14, 81, 258, 599, 1158, 1989?\nAnswer: 3146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8842775, 8842777, 8842779, 8842781, 8842783?\nAnswer: 8842785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**4 - 54*q**3 + 27*q**2 + 486*q.\nAnswer: -3*q*(q - 3)*(q + 3)*(q + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 296696?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -4*q**2 - q**2 + q**3 + 5*q + 12*q**3 - 5 - 2*q**3. Let n(t) = -6*t**3 + 3*t**2 - 3*t + 3. Determine 5*n(s) + 3*y(s).\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-17)\/(-255))\/(1\/(-9)*-1)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -1075*u - 8. List the prime factors of p(-1).\nAnswer: 11, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 51 = 2*p + 8, 0 = d + 2*p - 19. Let i = -55 + 211. Suppose -2*l - i = -3*n, -5*n - 142 + 401 = -3*l. What is the remainder when n is divided by d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -12211, -5, 15 in decreasing order.\nAnswer: 15, -5, -12, -12211","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 54*g**2 + 4*g - 8. Let v be d(-4). Suppose -53*r - v = -58*r. Does 28 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -331.3 minus -0.45366?\nAnswer: -330.84634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*v**3 + v**3 - 3*v**3 + (4*v + 3*v**3 - 4*v)*(-4 + 5 + 1) + 3 - 2*v**3 - 3 - 4*v**2 + 4*v**2 - 2*v**3 + (4*v**2 + 60*v**2 - 25*v**2)*(-5*v - 7*v - 2*v).\nAnswer: -543*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29870 + -11210. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 10a183520 + 1?\nAnswer: 10a183521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 45*n**3 - 48*n**3 + 2*n**2 + 75*n**4 + 50*n**4 to p*n**3 + z*n + d*n**4 + o*n**2 + q and give d.\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 6 - 3 - 2 - 2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3*3\/9 - 0\/2. Let h(c) = -11*c**2 - 8*c + 7. Let x(r) = -2*r**2 - r + 2. Let t(q) = v*h(q) + 6*x(q). What is t(4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 + -16. Suppose -4*r + 16 = 6*b - 4*b, 2*r + 4 = o. Does 4 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/42 and 103\/312?\nAnswer: 2184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, 22, 145, 422, 913, 1678, 2777, 4270?\nAnswer: 6217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2236703?\nAnswer: 7, 6521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 5*v = -80, -42*y + 41*y - 3*v + 22 = 0. Does 2 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.45 - 24.45. Let l = j + -29. Let k = l - -54. What is the biggest value in 7, k, -5?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-780)\/(-36) - (4\/2)\/(-6). Let v = b - 18. Let n(l) = l - 4. Let z(y) = y - 9. Determine v*z(t) - 9*n(t).\nAnswer: -5*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 12 = 5*g - 28, 4*g - 16 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1111653405?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(1\/4)*q**(-1\/4))\/q**(9\/5))**(21\/5))**(-2\/59) assuming q is positive.\nAnswer: q**(378\/1475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48 - 4\/(8\/(-6))?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112237 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k**5 - 8*k**4 + 5*k**3 + 50*k**2 - 36*k - 72 = 0. Calculate k.\nAnswer: -2, -1, 2, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 4*w = -40, -18*w = x - 20*w - 16 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 7:48 PM?\nAnswer: 4:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*105\/25 + -4. Which is smaller: v or -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.073 * -4\nAnswer: 0.292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b. Let u(y) = -6*y**2 + 12*y - 5. Let a(q) = -7*q**2 + 13*q - 6. Let d(h) = 5*a(h) - 6*u(h). Suppose -2 = w + w. Calculate w*d(c) - 5*p(c).\nAnswer: -c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1540.164689 rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*i**18)*i*i\/(i\/i**(-13))*i)\/(i**(-5\/2)\/i)**(1\/5))**(-21\/5) assuming i is positive.\nAnswer: i**(5943\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 439 - 438. Let f(u) = -23*u. Let o be f(-3). Let g = o + -209\/3. Which is the nearest to r? (a) g (b) 1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1182 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: Suppose 4*j + y - 89 = 258, -2*y = -4*j + 362. Let w be 12 + (-190)\/15 - j\/(-6). Solve -w = -2*c + 3*z + z, 4*c - 5*z = 16 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 44 = 16. What is the derivative of -1 - n*v - 14*v + 8*v - 8*v wrt v?\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of -f**5 + 5*f**3\/3 - 9. Find n such that y(n) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 3:58 PM?\nAnswer: 7:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2112 (base 3) to base 2.\nAnswer: 1000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 24 = -3*z, -223 = 2*c - 5*z - 209 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1447*i**4 - 10*i**3 - 432222?\nAnswer: -5788*i**3 - 30*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-6) + 12\/9. Suppose x + j*x = 162. Suppose 3*a = q + x, -7 = -a + 5*q + 11. Calculate the lowest common multiple of a and 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 + 5*o - 6. Let v be i(-6). Let w be ((-5 - -7)*-3)\/(-3). Find p, given that -3\/5*p**3 + 0 + 0*p**w + v*p - 3\/5*p**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-3\/4)*v\/v**(1\/4)*v*(v**(-5)\/v)\/v**(3\/2) assuming v is positive.\nAnswer: v**(-13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2 + 5*o - 7. Let h be t(-6). Let i be h + -17*(-2 - -1). Suppose a - 9 = 2*a + 3*z, -3*z = 5*a + 9. Solve -3*f - f + i = a for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 1 = -2*d + 3, 2*d - 4 = 4*x. Sort 1, x, 6 in descending order.\nAnswer: 6, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2134 divided by 61?\nAnswer: -2134\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 3*q + 204 = 0, 5*u = 12*q - 7*q + 255. Suppose 5*p + 88 = 3*p. List the prime factors of u\/(0 + (-12)\/p).\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -172*p - 23*p + 2267 = -6093 - 3340 for p.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.023176 to one decimal place.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 - 0) + (160 - 3). Suppose -11*b - y = -8*b. Let a = b + 105. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 237.9 - 238. What is the closest to -2 in p, 0.06, 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the third derivative of -s**5\/30 - 204*s**2. Let p(c) be the first derivative of -9*c**2 + 1. Determine p(z(v)).\nAnswer: 36*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -5\/3, 8\/7, -4, 14 in descending order.\nAnswer: 14, 8\/7, -0.5, -5\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(2\/5))**(-2\/15)*((f\/(f*f\/(f\/(f**(-1\/4)\/f))))\/f)**(-4) assuming f is positive.\nAnswer: f**(-27\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2 (b) -269 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13601624\/49845 - 39\/3323. Let p = -273 + w. Which is the second smallest value? (a) -5 (b) -0.4 (c) 8 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 39425176 to the nearest integer?\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 83 = -2*l, 2*q = 2*l - 3*l + 57. Suppose 0 = -3*s - q + 46. Solve -5 = -c, 2*b + s*c = -9 + 24 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = 3*b + 30, -484*l + 494*l = -5*b - 45 for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 11 - (13 + -37 - -2). Solve -39 = -3*q - j for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-3 + 4 + -11 + 0 + 6 - 7)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -161, -164, -169, -176, -185, -196, -209?\nAnswer: -224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rjirrrrjjirrj. Give prob of sequence ij.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3669248 by -83392.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 + -12. Is -21 <= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 166 - 8550546115\nAnswer: -8550545949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -204095*b**3 + 6643*b**3 - 135134*b**3 - 5 - 4*b + 10185*b**3 + 6*b**2. Let t be c(5). What is t rounded to the nearest one million?\nAnswer: -40000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of y**4\/6 + 2*y**3\/3 + 2*y**2\/3 - 2. Determine s so that u(s) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40101551 (base 6) in base 2?\nAnswer: 100010011011000001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 5*k = -0*p + 2805, -3*p + 1659 = 5*k. List the prime factors of p.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*t + t + t)*(5*t + 67 - 145 + 73) to the form a*t + y + k*t**2 and give a.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 4*i - 4603, -3*f + 5690 - 1057 = 2*i. What is the hundreds digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -2*o + 6. Let r(v) = 2*v - 7. Let x(t) = -2*t + 7. Let z(h) = -3*r(h) - 4*x(h). Give -5*l(w) - 4*z(w).\nAnswer: 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 - 1. Solve -v*g = 1 - 21 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 16\/7 in -4, -2, 1, 0.02?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2*y - 4)*(98 - 210 + 89) + 3*y + y - 2*y + 33*y - 6*y + 23*y.\nAnswer: 98*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence euuu when four letters picked without replacement from uuueuusuuuuuuussu?\nAnswer: 143\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 3 = 2*q, 0 = -21*q + 22*q + 4*k - 12 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -238609 < -238606?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2. Suppose 3*m = 14 - 2. Let c(r) be the third derivative of 0 + 1\/15*r**5 + 0*r + 0*r**m + 0*r**3 - 2*r**2. Calculate c(q(o)).\nAnswer: 4*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-5)\/(-1))\/(6*(-125)\/(-20)))\/(-3*2)?\nAnswer: -1\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 197*d + 988 = 227*d - 106*d for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 11*b + 9. Let i(h) = 4*h + 3. Let u(f) = -6*c(f) + 17*i(f). Let t(s) = 8*s - 13. Give 2*t(j) - 9*u(j).\nAnswer: -2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (4*(0 + sqrt(304) + -1 - sqrt(304)) - 5*(-2 + sqrt(304) + 1)).\nAnswer: -20*sqrt(19) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-3) - 101964\/(-9). Suppose -7*m + s = -2*m. Let c = -9003\/4 + m. Find the common denominator of c and 113\/36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(7\/5)\/(z**17*z))\/(z**(2\/51)*z**1) assuming z is positive.\nAnswer: z**(-4498\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1053*o*r**5 - 9331*o*r**4 + 618*o*r + 50677*r wrt r?\nAnswer: 21060*o*r**3 - 111972*o*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -649349025 divided by 5?\nAnswer: -129869805","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/6 and (79\/(-12))\/(14\/(-21))?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -337\/43 or -8?\nAnswer: -337\/43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-2\/17))**27\/(h**(-10)\/h*h**(-7\/3)*h) assuming h is positive.\nAnswer: h**(2168\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooc when three letters picked without replacement from {c: 1, o: 18}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1078 and 29694.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 67.99956 + -68. What is c rounded to four dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x*x*x**(-9)\/x)\/x*x*x*x)\/x)\/x**(-3\/2))**(-8\/11)*((x**(2\/7)\/x)\/x**0)**16 assuming x is positive.\nAnswer: x**(-52\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 3*h + 2 = -5*h, -2*h = -5*f - 6. Let a(x) = x**2 + 6*x. What is the lowest common multiple of a(-8) and (f\/5 - (-15)\/(-25)) + 9?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w + 290. Let a(t) be the first derivative of t**2 - 163. Give m(a(x)).\nAnswer: -4*x + 290","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 27*h - 87. Let m be g(17). Let l = m + 277. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1192*c - 125 - 124 + 249)*(1 + 1 + 0).\nAnswer: 2384*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -2*w**2 + 2. Let h(z) = 0 + 5 - 3 + 0*z**2 - z**2. Suppose -4*x + 7*x = 0. Suppose x = -6*r + r - 15. Give r*c(a) + 4*h(a).\nAnswer: 2*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -256490.1 minus -70.127?\nAnswer: -256419.973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 24 = -5*c, 27 = 5*b + 5*c - c. Let k be 2\/(b\/(-6)*1). Let g be (2\/k)\/((-1)\/66). Calculate the highest common divisor of g and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21\/367 + 15373\/12111. Calculate the common denominator of f and 1 + -82*1\/(-42).\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1*-1)\/(((-35960)\/(-28768))\/((-950)\/(-8)))\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5 less than 53570359?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/((-105)\/20)*(-1410)\/(-3384).\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (64\/36)\/8*(-2)\/(-2)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -3 + 6 + 3 + -10 + 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4, 42, 140, 328, 636, 1094?\n\"Answer: 5*s**3 + 3*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a millimeter in micrometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 145\/528 and 109\/1320.\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are -56\/653797 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 4 + 1)*(-22*x**3 - 69*x + 69*x) - 2*x**3 + 2*x**3 + x**3 as y + b*x**3 + z*x**2 + f*x and give b.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34 + -36 + (-4 - 3) - (-30 + 3).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1611 + 1588. Which is smaller: -34 or j?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + -5 - 10) + 12.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 less than 90137?\nAnswer: 90136.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (1 - (-3 + 7))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(432) + -1)*1 - (1 + sqrt(432))*6)**2 + (sqrt(3) - -3*sqrt(12))**2 + -4*sqrt(432).\nAnswer: 792*sqrt(3) + 10996","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -15 + 8 + 0.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18299 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 4*x + 40 = 0, 0 = 5*n - 14*x - 110*x + 1359 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/(-5))\/(10\/50). Suppose -2*g + 0*g = 3*o - 35, -p*g + 8 = 0. Differentiate -5*v**2 + o + 1 - 5 wrt v.\nAnswer: -10*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -439*c = -43*c - 6336 for c.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 125*b - 2253. What is w(24)?\nAnswer: 747","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-7) + ((-2352)\/(-33614))\/(6\/(-21))*-175.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -5543*t**3 + 6*t**2 + 25*t + 41. Is y(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 973 + -964. Suppose 0 = 8*u + 41 - o. Sort 2, u, -3, -1 in increasing order.\nAnswer: u, -3, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbzzububzzfbbbubbf. Give prob of sequence bff.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18397127.\nAnswer: 7, 461, 5701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, q: 4, j: 1, s: 3}. What is prob of sequence ss?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.6 - 4. Let x = -26 + 17. Let t be 14 - 12 - (-19)\/x. Which is the second biggest value? (a) t (b) -3 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*a**3 - 7*a**3 - 10*a**3 - 10*a**3 + 2*a**3 + 33*a**3.\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 + 4*n**2 - 6*n + 3. Let x = -14 - -22. Suppose l + 6*m - m - x = 0, -13 = -5*l + 2*m. Calculate the smallest common multiple of l and q(-5).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - -61323?\nAnswer: 61317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 40 - 121\/3. Let j be (((-120)\/(-9))\/8)\/(37\/111). What is the second smallest value in u, j, -7, 1\/2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 AM and 2:20 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15 by -7469410.\nAnswer: -3\/1493882","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 - x**2 + 4*x + 1. Suppose -5*b + 3 = 2*z, 5*b - z + 13 = z. Suppose -3*i + 4 = -4*j, 5*j + i = j + 12. Let q = b - j. Give c(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17388 (base 11) to base 6\nAnswer: -305013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -15*r**3 - 2*r**2 - 2*r - 2. Let i(h) = -h**3 - h**2 - 1. Suppose 3*z = 3493*n - 3492*n - 9, 2*z - 3*n + 13 = 0. Give z*i(d) + p(d).\nAnswer: -13*d**3 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3397 + -4842. Is -1445 greater than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(200))\/sqrt(4))\/sqrt(10).\nAnswer: -2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83533275.\nAnswer: 3, 5, 7, 71, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3739, -23930, -78741, -185482, -361463, -623994, -990385?\n\"Answer: -2885*t**3 + 4*t - 858","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fq when two letters picked without replacement from {f: 1, c: 5, p: 2, u: 3, q: 1}.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5723605*h**3*w - 2*h**3 - 6559*h**2 - h - 220 wrt w?\nAnswer: -5723605*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -d - 3*a, -3*d - a = -31 + 8. Suppose 0 = -5*n + d*n. What is the third biggest value in n, -0.5, 4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (1 + -6) - 6) + -3 + (79 - -14)?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = d - 3*m + 20, 3*m - 16 = -2*d. Suppose d*r - 90 = r. Let a = 93 + -57. What is the greatest common divisor of r and a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -105*k**2 - 102*k**2 + 58*k**2 in the form w*k + f*k**2 + l and give f.\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 5*g - 135. What is z(22)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 948*l - 21434 = 5877 + 4921 for l.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 33563266 - -111?\nAnswer: 33563410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of -7*w**5\/4 - w**4\/12 - 2*w**3 - 5*w**2 + 146*w. What is the smallest common multiple of 6 and k(-1)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11682 + -11684. Sort 2, 1, -16, k, -4 in decreasing order.\nAnswer: 2, 1, k, -4, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 15 = 4*j. Suppose -j*f + 12 = -0*f. Suppose -b + f*h + 16 = -h, -4*b + h + 64 = 0. Does 13 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 59214 and 284?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 + (6 - 0) - -28. Let c = i - 29. Factor 7*a**2 + 4*a**3 + 5*a**c + 126*a - 12 - 130*a.\nAnswer: 4*(a - 1)*(a + 1)*(a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (16 - 3)\/(1\/(-2)). Let l = -7 - t. What is l rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 682\/3067?\nAnswer: 682\/3067","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -5*h + 2*u - 7*u, -11 = 2*h - 3*u. Let w(c) = -22642*c - 8 + 2 + 2 + 11317*c - 6 + 11319*c. Let q(r) = 5*r + 9. What is h*w(s) - 5*q(s)?\nAnswer: -s - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 10*t - 40 = 6*t, 0 = -3*t. Suppose 0 = 2*q - 4*f - 8, 3*q - 5*f - 11 = 4. What is the tens digit of 153 + l*5\/q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 34 = -94. Solve -3*b - p = -6*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6*m**3 - 249*m**2 - 12*m + 5878695?\nAnswer: -18*m**2 - 498*m - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert ad6d (base 15) to base 2.\nAnswer: 1000111110101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 2*v + 912 = -3*y, 5*v = -5*y + 1105. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100 + -101001?\nAnswer: -101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 PM and 11:03 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2516\/5 <= -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -5*j**2 - 2*j + 4. Let g(t) = t - 2. What is 3*g(y) + v(y)?\nAnswer: -5*y**2 + y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -30064664 (base 7) to base 15\nAnswer: -341c32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of -20 + 5\/2*j**6 + 0*j - 56\/3*j**3 + 0*j**5 + 0*j**4 + 0*j**2. What is the third derivative of v(g) wrt g?\nAnswer: 900*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -9*f**2 + 11*f + 6. Let p(j) = -4*j**2 + 5*j + 3. Let q(r) = -r**2 + 9*r + 58. Let g be q(13). What is g*o(b) - 13*p(b)?\nAnswer: -2*b**2 + b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 68*p**2 - 2*p. Let w be q(-1). What is the highest common divisor of 10 and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-503 + -5)*10\/(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -2*o**4\/11 + 69176*o**3\/11 = 0.\nAnswer: 0, 34588","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 64.4 - -20.6. Let u = y + -90. Sort u, -2\/5, 5.\nAnswer: u, -2\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1188 - 2371\/2. Let v(k) be the second derivative of 0*k**3 + 2\/3*k**4 - 5*k - n*k**2 + 0. Differentiate v(u) wrt u.\nAnswer: 16*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/(-79) + (1 - 2) + -18. Sort -1, 5, y.\nAnswer: y, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of -k**4\/12 - k**3\/3 + 4*k**2. Let w be g(-2). Suppose 3*o + w*o = 0. Solve o*m + 4*m = 12 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4 or -19\/7?\nAnswer: -19\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 240 and 378024000.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of -j**6\/120 + 7*j**5\/60 - j**4\/4 - j**3 - j**2 + 39*j. Determine n(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*b + 4*b. Suppose b = -n + 2*m + 23, 0 = 4*n - 2*m - 2*m - 92. Suppose 2*v = -6, 0 = 5*z - 3*v - n - 6. Is 3 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/(-1080)*30)\/((-6)\/4)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.173139 kilometers in centimeters?\nAnswer: 17313.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -7*w. Let u(d) = -374*d. Determine u(o(h)).\nAnswer: 2618*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 21425, 37582, 53739?\n\"Answer: 16157*o + 5268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*u + 12*u = 6*f - 15, 6*f = u + 2*f + 3 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a tonne in kilograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2486086382.\nAnswer: 2, 13, 95618707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 141.1 - 140.9. What is the nearest to 5 in s, -1, -4, 0.8?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by 25.\nAnswer: 7\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -q - 2*h - 50, 4*q + 42 = -2*h. Let v(t) = t**2 + 7*t + 3. Is v(q) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -980\/9 + 109. Let f = 11.08 - 11. Let t = f - 3.08. Which is the second smallest value? (a) u (b) 0 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -5*t**2 + 1010*t - 1005 = 0?\nAnswer: 1, 201","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 408 and 669231384?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 4*r. Let l(g) = -54*g + 36. Let w(i) be the third derivative of i**4\/12 - i**3\/6 + 114*i**2. Let k(h) = -l(h) - 36*w(h). Calculate k(o(u)).\nAnswer: -72*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 242 divide 415756?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n - 3. Let v be u(6). Let g be (v + -1)*(-4)\/(-2). What is the third derivative of 2*a**3 - 5*a**2 + g*a**2 + 0*a**2 wrt a?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 3*x**2. Let f(v) be the third derivative of -11*v**4\/24 + v**3\/2 - 2*v**2 + 83*v. Calculate f(q(g)).\nAnswer: -33*g**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 10) in base 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 (base 2) in base 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*((-2)\/20*2)\/(67\/603).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -11 + (2 + (-10 - -16) - (-36 + -5)) - 9\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 - 9*x**2 + 16*x - 14. Let h be v(7). Let j be 4\/3 - (-3)\/(-9). Let w be 3 - 4 - j - -6. Solve 2*d - w = -h*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - 3*u - 21585, -4*u - 15944 = -5*r - 69964. Round r to the nearest one thousand.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 36*y**2 - y - 1733. Let t(g) = 38*g**2 - g. Give -s(d) + t(d).\nAnswer: 2*d**2 + 1733","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 10011011111011111 (base 2) to base 12\nAnswer: 3a253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 71785 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 + -2)\/(((-12)\/(-15))\/(-4)). Suppose y = h, -5*y + h + 5 = -3*h. Solve -y*k = -0*k - j for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2 + 3*v - 16. Let t be p(-8). Let z = t + 8. Is 16 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 219311613?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 68, 2, -8, 5, 4, 7 in descending order.\nAnswer: 68, 7, 5, 4, 3, 2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.53 and -0.5.\nAnswer: 0.265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.6 at least -22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aara when four letters picked without replacement from {r: 4, a: 6}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1 - -0.2. Let v be (-2)\/8 - (-33)\/(-44). Is v less than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9 + 12*r - 14 + 8 + (-4*r + 2*r + 0*r)*(6 - 12 - 12) + 2*r + 3*r - 1 - 3*r.\nAnswer: 50*r + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 - 8*n**2 - 16*n + 34. What is w(9)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 653898 and 107.\nAnswer: 69967086","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -123296, -123289, -123282, -123275, -123268?\n\"Answer: 7*x - 123303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -238*a**3 - a**2 + 11*a + 5. Is d(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -218 - -405. Find the second derivative of 82*o**4 - 163*o**4 + 81*o**4 - 22*o**5 + 108*o**5 + q*o wrt o.\nAnswer: 1720*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 128\/18 - (-80 + 103 + -16)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 186830 = 21*k - 23044. Which is smaller: k or 9995?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ir when two letters picked without replacement from hihiiiiiiihirhhhii.\nAnswer: 11\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 25*o**2 - 3*o + 27. Let x be (5\/(-1))\/(-32 - -31). Is r(x) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - ((-4)\/66 + 338\/5577))*(-2)\/(-54)\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 777347.\nAnswer: 19, 163, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 54383711 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120*k = -1046 + 196 - 1070 for k.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -3*r**2 - 8*r. Let j = -441 + 721. Let q(u) = -2*u**2 - j - 5*u + 280. Determine -5*a(h) + 8*q(h).\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7357 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -7*u**2 - 6*u + 8. Suppose 17 + 7 = -4*h. Let k(q) = 9 - 9 - 15 + 11*q + 13*q**2. Give h*k(v) - 11*y(v).\nAnswer: -v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o**2 - 43*o + 63. Let t be g(20). Suppose -2*h + t*y - 7*y + 6 = 0, 12 = 3*h + 3*y. Solve h*z - 3 = 2*v - 16, 4*z + 24 = 5*v for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*z - 142 = 88 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -9*x + 535. Let q be s(57). What is the greatest common divisor of 803 and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + 4. Suppose -4*z = 5*c + 27, -c = -z + 4*c + 12. Let k = z - -4. What is the smallest common multiple of l and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*o**3 + 31*o**2 - 31*o**2 + 7*o**3.\nAnswer: 3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3056 is divided by 51.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -273.24 times 0.0041\nAnswer: -1.120284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + -5 - (2 + (-1 - 6)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 13*z**4 + 119*z**3 - 3872*z**2 - 170588061 wrt z.\nAnswer: 52*z**3 + 357*z**2 - 7744*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6836813128 - 4.\nAnswer: -6836813132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 38317300321 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1040 and 3847710?\nAnswer: 400161840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 10 + 10 = 0. Let y(u) = 2 - 4*u**2 - w*u - 4 - 5 + u**3. Is y(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 3*o + 24, -9*o - 25 = -3*l - 5*o. Let y be (3\/3)\/(l + -2). Let m = -3 + 1. Which is the closest to y? (a) 0.4 (b) m (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 209556?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c - 1 + 11. Suppose 4*i - c*o = -22, -o = 2*i + 5 + 4. Are -3 and i unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of -2*l + 1\/3*l**3 - l**2 + 12. What are the prime factors of d(15)?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 4*x - 20, -x + 2 + 4 = 5*y. Let b be ((y + -2)\/3)\/(-1). Let n = -6258 - -569480\/91. Which is greater: b or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -128568, -128579, -128596, -128619, -128648, -128683?\nAnswer: -128724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 27 + -b?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 33 - 11. Suppose 7*w - 4*w + l - a = 0, -2*w + 10 = -4*l. Suppose -17 = -3*v + w. What is the greatest common divisor of 64 and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 775, 796, 833, 886?\n\"Answer: 8*y**2 - 3*y + 770","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(6\/17)\/r)\/(r*r\/((r\/r**(12\/7))\/r*r*r)*r) assuming r is positive.\nAnswer: r**(-400\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffqqqqqfqqffqfqqfffq. Give prob of picking 4 f.\nAnswer: 42\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3312, 13201, 29678, 52749, 82420, 118697, 161586?\nAnswer: 211093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = -5*l + 4*c + 443, -3*l - 3*c = -255. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + -111011110110001100010100101?\nAnswer: -111011110110001100010100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3090?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 335, 685, 1049, 1433, 1843, 2285, 2765?\n\"Answer: b**3 + b**2 + 340*b - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.950735681 - 15.\nAnswer: -11.049264319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(684) - 2*((sqrt(684) - (0 + sqrt(684))) + sqrt(684)) - (0 + sqrt(684) + 3 + sqrt(684)))**2 + -5.\nAnswer: 108*sqrt(19) + 6160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(80)\/(sqrt(12)\/sqrt(3))*-2 + 5 + -3.\nAnswer: -4*sqrt(5) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 58392 and 176.\nAnswer: 1284624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.2, -1\/3, 96, 1\/10?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -81870110*p**3 - 68492702 with respect to p.\nAnswer: -245610330*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/55, 21, -0.14, 1\/8.\nAnswer: -0.14, -3\/55, 1\/8, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -6\/7, 1, 375, -0.032?\nAnswer: -0.032","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = -5*z - 5*b, -21*b + 20*b + 9 = 2*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + p - 2*s - 7798 = 0, 2*p = 5*s + 3887. What are the prime factors of p?\nAnswer: 1951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*s**2\/15 - 68052*s + 8683265070 = 0. What is s?\nAnswer: 255195","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2 + 13*s - 15. Let k be f(12). Let n be 245\/(-3) + -1*k\/(-9). Let g = n + 256. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (2 - 21) + 3 + -7\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -0*i + 110. What is the least common multiple of 9\/(9\/8)*1 and i?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.023 bigger than -122?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - 3. Let z(o) be the third derivative of -o**4\/12 - o**3\/6 - o**2. What is the units digit of z(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*t + 38 = 339 + 251 for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 10\/13, 1, -1.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + 1. Suppose -r = -1 - x. Let u = -10 + 22. What is the greatest common factor of r and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 53, 45, 39, 41, 57, 93?\nAnswer: 155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 737323460?\nAnswer: 2, 5, 36866173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of f**8\/1344 + f**7\/280 - 775*f**2. Find b such that h(b) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.009 - 3.959. Let w = p + 4. Let d = w + 0.35. Which is the biggest value? (a) 0.2 (b) d (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -952*d - 1213*d - 412322 = 3124*d + 1820*d for d.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (6*(0 + sqrt(1216) + -4))**2.\nAnswer: -2304*sqrt(19) + 44354","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w - 1 + 1)*(3*w**3 - 6*w**3 + 2*w**3 + (9 + 29 - 7)*(2*w**3 - w**3 - 3*w**3)).\nAnswer: -126*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 189443?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2*f**3 - 15. Let l(j) be the first derivative of -j**4 - 30*j + 50. What is 5*i(u) - 3*l(u)?\nAnswer: 2*u**3 + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4696*v**3 - 13805*v**3 + 4550*v**3 + 4551*v**3.\nAnswer: -8*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 4*y + 10. Let n be s(9). Calculate the highest common divisor of 23 and n.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 2*w = -7*j + 6, 3*j + 4*w - 21 = 0. Suppose 0 = -0*u - u + j. Put -1, u, -11 in decreasing order.\nAnswer: u, -1, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 565 a factor of 103177475?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 AM and 3:52 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**3 - 3*i + 3*i)*(2*i**2 + 3*i**2 - 6*i**2) - i**5 - 6*i + 6*i + (i + 2*i**3 - i)*(3*i**2 - 4*i**2 + 0*i**2) - 2*i**5 + 0*i**5 + 0*i**5.\nAnswer: -6*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -3*x + 1 + 0*x**2 + 2 - 2*x**2. Suppose -318 = 750*b + 3432. Calculate w(b).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 10:40 AM?\nAnswer: 3:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 6 = -5*a. Suppose -5*h + 2*m = -52, 0 = -2*h + a*h + 2*m - 8. Calculate the remainder when h is divided by (-8)\/(-3)*9\/6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144*c = -48*c - 867 + 3 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 274 + -249. Suppose m*i - 406 = 23*i. What is the tens digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22259?\nAnswer: 22259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 5*q = 1994220 + 1725795, 4*u - 4*q = 7439988. Round u to the nearest 100000.\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 + -35 + 23 - 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20348 + -20351. Sort 8974, q, -5.\nAnswer: -5, q, 8974","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 - 7*r**2 - 17*r - 17. Is l(11) a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 + 5*o**2 - 3*o - 17. Let u be w(-3). Let y(x) = -28*x**2 - 14 + 4 + u. Let j(a) = -2*a**2. Calculate j(y(s)).\nAnswer: -1568*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 17731872 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by 108964.\nAnswer: 5\/54482","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*o - 18*o + 7482 = 0. Let g be (290\/o)\/(5\/(-279)). Calculate the highest common divisor of 217 and g.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 3\/32, 25, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -28163 or 6307\/6?\nAnswer: -28163","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4\/22 - (-9828)\/154 is divided by 24.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16*(-2)\/128*304\/(-24).\nAnswer: 19\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 31*c. Let w be x(-1). Let d be (-2233)\/49 - 8\/(-14). Let t = w - d. List the prime factors of t.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 728*u**3 + 371*u**3 + 2.\nAnswer: 1099*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -0.2, 6289\/4, 1\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 - 2)*3*(-2)\/(-48). Let f = -4.5 - 0.5. Which is the nearest to 4\/9? (a) k (b) -2\/13 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 94 - 98. Let u(b) = 6*b + 1. Let s be u(1). Suppose 0 = 2*n + 7 + s. Put l, n, -5 in ascending order.\nAnswer: n, -5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of -l**5\/10 - l**4\/3 + l**3 + 6*l + 1. Suppose n(r) = 0. Calculate r.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3830 and 14970?\nAnswer: 5733510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -11*n**5 + 4467*n**4 - 256177*n**3 + 18381*n**2 + 279036*n = 0.\nAnswer: -1, 0, 12\/11, 69, 337","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 55869975 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pppp when four letters picked without replacement from {p: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -12*x**2 - 2*x - 1. Let y(u) = 11*u**2 + 3*u + 2. Suppose 0 = g + 4*h - 32, 35 = h + 28. What is g*n(t) + 3*y(t)?\nAnswer: -15*t**2 + t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 61918421?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of -6561*j**7\/35 - 64881*j**6\/25 - 77679*j**5\/25 + 9437*j**4\/15 - 719*j**3\/15 + 9*j**2\/5 + 9945*j. Solve r(q) = 0 for q.\nAnswer: -9, -1, 1\/27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = -3*o + 7, 2*r + 41864*o - 28 = 41854*o for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and 0.1215?\nAnswer: -0.486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 37545*x**2. Let t(v) = 4*v**2. Calculate c(t(q)).\nAnswer: 600720*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1432 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -3*j**2 + 2. Let u = 443 - 439. Determine b(u).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 + 5*g**2 + 2*g - 2. Let l(d) = d**2 - 2*d - 21. Suppose -32 + 38 = q. Let i be l(q). Suppose t - 5*b - 30 = 0, -i*b = 4*t + b. Determine r(t).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange i - 4*i - 279*i**2 + 80*i**2 + 3*i to u + f*i**2 + v*i and give f.\nAnswer: -199","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 251 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 312 - 308. Suppose -5*x = -a + 495, -d*a = 5*x - 658 - 1397. List the prime factors of a.\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -29*r - 10. Give g(-1).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 333008 = -26*y + 78*y. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 7*f**4 - 9*f**3 + 9*f**2 + 24*f. Let w(g) = 3*g**4 - 4*g**3 + 4*g**2 + 12*g. Let l(c) = -4*d(c) + 9*w(c). Find the second derivative of l(m) wrt m.\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*a - 5*a**2 + 0*a**3 + a**3 - 2 - 26*a**4 + 5*a - 8*a**4 + 4*a**2 to y*a**3 + n*a**2 + j*a**4 + c*a + u and give j.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20 - 4. Let j = i + -15.992. What is j rounded to 2 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of c**3\/3 + 5*c**2 + 26*c + 2726. Calculate t(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61567199 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 289 - 288.98. Let v = -1.0304 + 0.0304. Which is the closest to v? (a) 2\/5 (b) k (c) 6\/5 (d) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 475962, 951925, 1427890, 1903857, 2379826, 2855797?\n\"Answer: f**2 + 475960*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -272, -233, -108, 145, 568, 1203, 2092?\n\"Answer: 7*s**3 + s**2 - 13*s - 267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 14. What is the remainder when k is divided by 3 + (0 + 1 - -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -68*p**2. Let k be (8\/12)\/(55\/(-45) - -1). Let o(g) = -7*g**2 - 4*g - 2. Let v(h) = -9*h**2 - 6*h - 3. Let b(c) = k*o(c) + 2*v(c). What is b(s(q))?\nAnswer: 13872*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5846, -11688, -17522, -23348, -29166, -34976, -40778?\nAnswer: -46572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1128934830?\nAnswer: 2, 3, 5, 47, 800663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 (base 15) in base 7?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 8:58 AM?\nAnswer: 1:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*a + 6. Calculate the remainder when 1\/(a + 33\/(-17)) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -739, 5, 14, -4 in descending order.\nAnswer: 14, 5, -4, -739","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) 7\/7605 (c) 0 (d) 10\/59\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -24269645*r**3 - 17545287 wrt r.\nAnswer: -72808935*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 149126?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 v, 1 w, and 1 s when four letters picked without replacement from vvsppvwtwvvfw.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 80330739?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d**2 + 16*d + 16 = 0. What is d?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-4))\/((-1910)\/(-5348))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 350 - 822 = -8*k. What are the prime factors of k?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 76.56 + -7532.56. Let s = 7452.339 + w. Let k = s - -3.7. What is k rounded to 2 decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 15\/4 of a minute?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/5 (b) -3297 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 674, 1348, 2022, 2696?\nAnswer: 3370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108636 is divided by 27138?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 446294630?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 11*f**2 - 4*f + 21. Let h(q) = 9*q**2 - 3*q + 21. Calculate 4*h(s) - 3*y(s).\nAnswer: 3*s**2 + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69 is divided by 28?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(1 - (-40)\/(-33)) - 15402\/17969\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 193 - 1153 = 0. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86*u - 58*u - 33*u.\nAnswer: -5*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -404722 to the nearest ten thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 125151431 + -5?\nAnswer: 125151422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxx when three letters picked without replacement from {x: 7, r: 4}?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u**5 - 10465*u**4\/6 - 863*u**3\/3 + 10461*u**2\/2 - 7849*u\/3 - 1744\/3 = 0 for u.\nAnswer: -1744, -2, -1\/6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -19*-13394924\nAnswer: 254503556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 5. Suppose 23 = -t*v - 7. What is the units digit of 4\/v - (-10)\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 - 7*z**2 + z - 5. Let r be t(7). Let u(k) = 7*k**2 - k**3 + r*k**3 - 6 + 38*k - 40*k. What is the units digit of u(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -19245, -19136, -18993, -18810, -18581?\n\"Answer: c**3 + 11*c**2 + 69*c - 19326","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3140434 (base 5) to base 4.\nAnswer: 30312023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17.73 + 0.27. Let p = c + -18.9. What is the biggest value in -0.2, p, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2*1*(-37)\/2. Let p = b + -27. Suppose -39*f + 37*f + 8 = 0. Calculate the greatest common factor of p and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 AM and 5:52 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 642?\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4105 + 4098. What is the second smallest value in 1.2, -3\/2, 2, o, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17 + 11. Let l(j) = j + 10. Let z be l(k). Let n be (-30)\/(-24) + (-18)\/8. Sort n, -2, z in descending order.\nAnswer: z, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 362 times 159\nAnswer: 57558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*y - 333 = 49*y for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 5*j. Let v(k) = -31*k**2. Determine v(z(c)).\nAnswer: -775*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25309*r - 8678*r + 47206*r.\nAnswer: 63837*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 take away 2570997?\nAnswer: -2571000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110111011110110 - 1010000?\nAnswer: -1110111101000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1893617 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 2 = 4*o, 18*u = 19*u - 5*o - 12. Factor 1\/4*v + 3\/2 - 1\/4*v**u.\nAnswer: -(v - 3)*(v + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4397 is divided by 37.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/93 + 574\/(-109306))*(10\/15 + -2)?\nAnswer: 4\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u + 6. Let p be m(-6). Let s = 1167 - 1158. Suppose 3*j - 50 = 5*h, j - 3*h - 9 - s = p. Solve -5*a + 0*a = j for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -a + 239, 5*l + 87 - 1082 = -4*a. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5\/11592653 or 0?\nAnswer: 5\/11592653","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/8 (b) 2 (c) -1 (d) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 2*f. Let v(l) = l**3 - 2*l**2 + l + 3. Let h be v(3). Suppose f*s + s = h. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 64*s + 454. Let a be d(-7). Suppose 0 = 2*b - 99 - 711. Suppose f + b = a*f. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 222 - -156. Let t = 371.25 - u. Round t to 1 dp.\nAnswer: -6.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 360\/(-2700) - (-3 - 141\/45).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46861 (base 12) in base 16?\nAnswer: 17149","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 110, 7, 4 in increasing order.\nAnswer: 4, 7, 110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 - 4*g**2 - 3*g - 8. Let m be t(-4). Suppose 0 = 2*x - 8, -2*q - m*x = 3*q - 91. What is the remainder when q is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = y + 3*y - 16, 4*g = 3*y - 12 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 28\/(-63)*(-2)\/(-4). Let a = 805 - 826. Put a, x, 3 in descending order.\nAnswer: 3, x, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2926 + 2923. Suppose 0 = d + 5*p - 15, 0 = -3*p + 6. Suppose -5 = -4*k + d*k. Sort k, 2, z in decreasing order.\nAnswer: 2, z, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.6 - -0.6. Let t be (-48)\/(-4)*87\/(-10). Let o = 104 + t. Sort b, o, 4 in increasing order.\nAnswer: b, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - v + 1, 3*v + 5 = -2*s - 6. Let l be -10*-9*s\/4. Let q = 86 - l. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*a**2\/2 - 636*a - 182.\nAnswer: (a - 182)*(7*a + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3191 in 1, 10, -561, -0.1?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -h - 0*g - 4*g, -31 = -2*h - 5*g. Let y be (-1 - 10\/2)*(-48)\/h. Calculate the greatest common factor of 48 and y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m. Let s(a) = a. Give -13*r(d) - 6*s(d).\nAnswer: 7*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 48.7 + -49. Let s be (-3)\/(-5) + 2\/5. What is the second smallest value in 8, s, i?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 12:47 AM?\nAnswer: 3:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + 2*o + 261 = -q, 4*q = -4. Let f = o + -46. Does 13 divide (f\/8)\/((-2)\/(-104))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 10 = -2*t, 0*c = 2*c + t + 6. What are the prime factors of 18\/2 - (-2 - c)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oflofoooflwfoflo. Give prob of sequence ol.\nAnswer: 7\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 times 3?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, c: 1, i: 1}. Give prob of sequence it.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of -n**5\/60 - n**4\/3 - 5*n**3\/6 + 138*n**2. Give f(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 708.3015 nanometers?\nAnswer: 0.0000000007083015","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 50*x**2. Let c(u) = -u - 55. Calculate o(c(q)).\nAnswer: 50*q**2 + 5500*q + 151250","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -918*y + 836*y = -984 for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 AM and 1:59 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -140 + 242. Suppose 0 = 1181*w - 1197*w + 544. Calculate the highest common divisor of d and w.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of -1\/210*g**5 + 0*g + 2*g**2 - 1\/420*g**6 - 3 + 0*g**4 + 0*g**3. Let k(b) be the second derivative of x(b). Factor k(q).\nAnswer: -2*q**2*(q + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160 = -6*o + 22*o. Factor -1473*m - 324 - 184*m**2 + o*m**3 - 1460*m + 3815*m.\nAnswer: 2*(m - 9)**2*(5*m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2665662, 5331324, 7996986, 10662648, 13328310?\n\"Answer: 2665662*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 291317227?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 5*j + 5*p, -25 = j - 5*p - 9. Differentiate 2*l**4 + 2 + 0 - 4*l**j wrt l.\nAnswer: -8*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 608 + -309. Suppose v + 225 - l = 0. Is v a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.28122 to one dp.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -215 - -554342?\nAnswer: 554123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 13) in base 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156*a = -28*a + 920 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (6\/((-42)\/7))\/(-8)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26667928.\nAnswer: 2, 7, 461, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1053, -0.09, -0.04314?\nAnswer: -0.04314","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f + 14. Let g be j(9). What is the units digit of (-8 + g)*4\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -15\/1288066 and -115\/8346?\nAnswer: 3864198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -30 - 1012203442?\nAnswer: -1012204022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1357 divided by -1444\nAnswer: 1357\/1444","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 186 and 12?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*g**3 + 0 + 0 + (-3597 - 2905 + 3619)*(-3*g**3 + g**3 + 3*g**3) in the form q + i*g**2 + s*g**3 + j*g and give s.\nAnswer: -2880","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119 = -48*j + 29*j + 12*j for j.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -7*j**2 + 388*j - 97. What is the hundreds digit of m(44)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4508*a - 4522*a + 3*q = -57, 2*a + 3*q = -9 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (2 + -1*sqrt(1900) - (-3 + sqrt(1900) + 1 + sqrt(1900))) + (5 + sqrt(1900) + 2 - sqrt(1900)) + (sqrt(1900) - -4*(-1 + sqrt(1900))) + 2)**2.\nAnswer: 400*sqrt(19) + 7700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*y**2 + 0*y + 0*y)*(-1 - 2 + 6) + 4 - 2*y**2 - 4)*((0*y + 3*y - 2*y)*(3 - 5 + 4) + 3*y - 2*y - 4*y).\nAnswer: -7*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4612b5 (base 13) in base 9?\nAnswer: 3108018","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hvheve. Give prob of sequence ee.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c**2 + 32*c - 33 = 0. What is c?\nAnswer: -33, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36, -2\/7, -0.8183, -0.3.\nAnswer: -36, -0.8183, -0.3, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 = 9*r + 8*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 63108 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*h - 2*r = 1 + 31, 3*r = h - 16 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 0*t. Suppose t*c = -5*c + 2*k + 3, -2*k - 9 = c. Let m(w) = -469*w**2 + 4*w + 3. Let h be m(c). What is h rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x**2 - 13*x**2 - 4*x**2.\nAnswer: -19*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -264*v**2 + 3048*v**3 - 3047*v**3 + 348*v**2.\nAnswer: v**3 + 84*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, s: 5, j: 3, t: 9}. What is prob of sequence sj?\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 5 + 3. Let x be 3 + -2 + -37 - h. Let c = x + 75. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110000001 - -10?\nAnswer: 110000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of k**9\/30240 + k**8\/3360 + k**7\/1260 - k**4\/6 + k**2. Let d(l) be the second derivative of x(l). Let d(p) = 0. Calculate p.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 198423?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 8423.899 centuries?\nAnswer: 842389.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6991 is divided by 121?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 180 is divided by 15?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*b + 23*b + 25*b - 113*b + 25*b - 38.\nAnswer: -2*b - 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-9\/5)\/(h*h\/(h**37*h)*h)*(((h**(-1\/2)\/h)\/h)\/h)\/h**5 assuming h is positive.\nAnswer: h**(247\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g - 619 + 619 + 31*g**2)*(2*g + 2*g - 3*g + (g + 2*g - 4*g)*(5 - 2 - 4) - 676 + 341 + 335 + 570*g).\nAnswer: 17732*g**3 + 572*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of -s**4\/24 + 127*s**3\/6 + 6*s**2. Is k(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1772 + 28 = 5*i - 5*q, 5*i - 4*q = 1802. What is the remainder when i is divided by 73?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 109646072?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 89614?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n**2 - 36777 + 36777.\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -656 + y - y + 3097 - 2*y.\nAnswer: -2*y + 2441","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 15 + 13 + -23 + -16\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-282)\/329)\/((-37)\/4144)\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 5 = 5. What is the units digit of t\/((3\/(-3))\/(-3))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -349, -350, -351, -352?\nAnswer: -353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 31 = 1. Factor n*h**2 + 7*h + 4*h**2 + h + 12*h**3 + 0*h.\nAnswer: 4*h*(h + 1)*(3*h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/10709712 and -67\/528.\nAnswer: 117806832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 646, 435, 68, -467, -1182?\n\"Answer: -2*m**3 - 66*m**2 + m + 713","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**3 + 18570*g**2 + 824340*g + 9094360.\nAnswer: -5*(g - 3758)*(g + 22)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-148)\/(-12) + -9 - 5 - (-8)\/3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -758.79 rounded to the nearest integer?\nAnswer: -759","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.050829 to three decimal places.\nAnswer: -0.051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t. Let r(q) = -13*q**2 + 58*q + 60. Determine x(r(b)).\nAnswer: -26*b**2 + 116*b + 120","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.051 - -0.051. Let d = 14 - 14.2. Which is the closest to z? (a) 2 (b) d (c) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 219 + -25. List the prime factors of i.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 - 12*x + 12. Let d be r(-8). Let h = -30 + d. Factor 2*a**2 - 11*a - 6 + h*a - 7*a.\nAnswer: 2*(a - 3)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 951 = -2*q, -4*x + 2*q + 492 + 276 = 0. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -43 - 29*d - 1 + 48*d wrt d?\nAnswer: 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 169359 to the power of 1\/3, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2340)\/(-39)*87\/348?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -10196684700 to the nearest 1000000.\nAnswer: -10197000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 5. Let p = -0.56 - -15.06. Let z = 14 - p. Which is the second biggest value? (a) z (b) j (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 13*y**2 + 49*y - 55. What is the units digit of t(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -821.02 - -748.3. What is z rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -68\/5 in 2\/3, -0.13, 300?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*j - 9 = -87*j. What is the highest common factor of j and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -63\/2740 and 127\/212860188?\nAnswer: 1064300940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7347860?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2712840?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1478?\nAnswer: 2, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 2 (b) -1949 (c) 0.1 (d) 1060\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 17337, 34638, 51933, 69222?\n\"Answer: -3*f**2 + 17310*f + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -8*q + 43. Let u = 18807 + -18807. Calculate l(u).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.2*87.53196.\nAnswer: 192.570312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -1\/5 (b) 37\/11 (c) 11 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 + 21*a - 244. Is o(31) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (1 - 2)*-2*(-28182)\/(-84)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 4*b - 20, -b + 2*s = 2*b - 1. Let p = 8 - b. Solve 0 = 8*z - 3*z - p for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -43, -104, -167, -232, -299, -368?\n\"Answer: -x**2 - 58*x + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -52402, -104803, -157204, -209605?\nAnswer: -262006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -201, -217, -245, -291, -361?\n\"Answer: -x**3 - 9*x - 191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 94766497 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1324403 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1121202101022 - 2122?\nAnswer: 1121202021200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*z, 3*z = 2*c + 8*z + 4458. What is c rounded to the nearest one hundred?\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 895 - 875.69. Let o = 0.31 - n. Let c = o - -18.9995. What is c rounded to four dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6120755476 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -398192\/5 or -79639?\nAnswer: -398192\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 + 11*h - 23. Let b be o(6). Solve a = -a - 5*z - 8, -3*a + 2*z + b = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 155014 and 222562?\nAnswer: 866","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 6*w - 15. Let j = 42 - 37. Suppose j*r = 8*r - 3. Which is bigger: r or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - 1. Let a(w) = 170*w + 320. Let m(n) = 13*n + 24. Let s(z) = 3*a(z) - 40*m(z). Determine s(r).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(136)\/(2*sqrt(144)))\/((3*sqrt(162)*3 - sqrt(162))*5).\nAnswer: sqrt(17)\/1440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c*c**(-1))**(15\/2)\/(c**(4\/7)*c*c**(-1)\/c) assuming c is positive.\nAnswer: c**(108\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 11*p**3 + p - 1. Suppose -4*k = -2*l, -2*k + 8 = 2*k. Suppose -5*s = 5*f, -5*s = -l*f - 0*f + 27. Let c be f*2\/(-12) - (-6)\/4. Determine t(c).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 16.9 and 207622584.272?\nAnswer: 207622567.372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 4942850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 121 = -9*o. Let s(f) = 16*f - 26. Let y(d) = -3*d + 5. What is o*y(q) + 2*s(q)?\nAnswer: -q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -228*t**3 + 561*t**3 - 302*t**3.\nAnswer: 31*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 30 - 3. Let f be (-6)\/o - (482\/(-6) + -3). Calculate the greatest common factor of f and 56.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.88 and 185030546.02.\nAnswer: 185030545.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 AM and 3:53 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.01 + -4. Let l = 0.095 - g. Let s = 0.13 - l. Round s to two decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11 or 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 177*a**3 - 356*a**3 + 172*a**3.\nAnswer: -7*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**3\/5 - 1761*z**2\/5 + 1746*z.\nAnswer: 3*z*(z - 582)*(z - 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*i + 6 = 12*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/13 (b) -3\/4 (c) 18 (d) -2.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of z**3\/3 - 3*z**2\/2 - 3*z - 1. What is the smallest common multiple of 8 and n(-2)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ic when two letters picked without replacement from {c: 9, q: 1, i: 1}?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1228, 2536, 3848, 5164, 6484?\n\"Answer: 2*z**2 + 1302*z - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/1867 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*a, 4*d - a = -3*a - 4. Solve -13 = -2*v + 2*s - 1, 2*v - 5*s - 21 = d for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 - 10. Let w be (4 + i)*0*1. Solve w*u - u = 5 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 30, 1\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 18\/(-45) + (-3)\/5. Suppose -162*w + 161*w + 6 = -2*a, -2*a = 4. Is (w\/(-2))\/(v\/195) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = -7*w + 25 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 207\/13160?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2392 divided by -3?\nAnswer: 2392\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -61, -124, -189, -256, -325?\n\"Answer: -y**2 - 60*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (9\/6)\/(36\/(-4)). Let q be 2\/11 - (-5)\/(-1870)*72. Let d = 195\/748 + q. What is the nearest to d in 1, -0.9, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7963920*d*o**2*v**2 - 27*d*o**2*v + 2*d*v + 46*d + 344*o*v wrt v?\nAnswer: 15927840*d*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.03 - -3.23. Let j = z - -8.8. Let m = 16 - j. What is the smallest value in 0.1, m, 0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14cd5 (base 15) in base 9?\nAnswer: 111842","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -49 + 91. Let q be (-15)\/h*((-128)\/25 + 0). Let y = 17\/7 - q. What is the nearest to -2\/7 in -5, 8, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 3*n**5 - 681*n**4 + 19272*n**3 - 104184*n**2 - 670032*n - 758160 = 0.\nAnswer: -2, 18, 195","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 41 (b) -0.05 (c) -254\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5360?\nAnswer: 2, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 5*g**2. Let p(v) be the third derivative of -v**5\/10 + 17*v**2. Suppose u - 4*t + 6 = 2*u, -2*t - 12 = 3*u. Give u*p(h) - 7*q(h).\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 + c**2 - 2. Suppose 22 = 3*k + 4*d + 123, 4*k - 5*d + 83 = 0. Let w(m) = -2*m - 54. Let b be w(k). Give j(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + -8993635.\nAnswer: -8993641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 83428029 divided by 2133?\nAnswer: 39113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = 7*l + 8 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -2*g**3 - 8*g**2 - 31*g + 14. Calculate j(-9).\nAnswer: 1103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = -3*p + 4*l - 4, 13*p - 4*l - 64 = 81*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22 - -25. Suppose -p*o - 1 = -79. What is the highest common divisor of 26 and o?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22 - 11*o**2 + 22)*(2 + 2 - 1).\nAnswer: -33*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -290 - -330.4. Let z = -0.03 - -39.03. Let g = z - c. What is g rounded to one decimal place?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 6, h: 2, s: 7}. Give prob of sequence lhs.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2503 - -4162. Calculate the highest common factor of 189 and s.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 22299827 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 189*d - 2040 = -87*d - 132*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11172 and 29868?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of -d**7\/189 - d**6\/180 + d**5\/135 - d**2 + 3. Let f(k) be the second derivative of h(k). Determine v so that f(v) = 0.\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -793 (base 11) to base 9.\nAnswer: -1264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 159 + 15*q**2 - 633 + 9*q**2 + 162 + 160 + 153.\nAnswer: 24*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.05 and -8.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - 5. Suppose 0 = -4*l + 4*k + 16, 3*l + 2*k = 8*l - 35. Does 11 divide ((-66)\/l)\/(u\/9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -12 - 58. Let l = -9 + a. Let p(v) = v**2 - 5*v + 4. Let c be p(l). Solve 2*w = -2*x - 0*x - 10, 2*w = 4*x - c for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n - 2*n + n)*(2 + 5 - 2) + n - 1 + 1.\nAnswer: -9*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 92 - 61. Is 9 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of f**5\/20 + 17*f**4\/12 + 8*f**3\/3 + 4*f**2 - 10*f + 4. What are the prime factors of r(-13)?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t*t**(3\/11)))\/t**(-3\/7))\/(t\/t**2)**(-5\/4))**(-41) assuming t is positive.\nAnswer: t**(13817\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2106*y**3 - y - 1562 wrt y.\nAnswer: 12636*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -145*r - 1626 = -151*r. Sort r, 0.1, -4 in increasing order.\nAnswer: -4, 0.1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.14038 and -24541126797?\nAnswer: 24541126797.14038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r**2 + 398992*r - 4788480 = 0.\nAnswer: -99760, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 4 + 12. Suppose 2 = 2*d, c*d - 5 - 1 = 2*j. Let t(b) = -8*b**3 - 2*b**2 - 2*b - 1. What is t(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -347967 divided by 1\nAnswer: -347967","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -188.\nAnswer: -1\/94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y + 1. Let w be n(-3). Suppose 2*a - 2 = x - 3*x, w = -2*x. Solve -m + a*s = -2*s, 24 = 5*m - s for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1763035707?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 5*t - 20, -7*t + 14 = 3*x - 3*t. Let g be (-22)\/(-4) - 5\/x. Is -23*g\/((-20)\/4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148364 to the power of 1\/2, to the nearest integer?\nAnswer: 385","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38743104?\nAnswer: 2, 3, 201787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of -28 - -51 - 48 - 42 - (6 + -1 + -3)?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*n + 17*n - 4 = 6*i, 0 = -n + 2*i - 8 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -54268 or -54265?\nAnswer: -54265","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -367*a + 53. Let i be r(7). Let d = -4925\/2 - i. Which is smaller: d or 54?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*x - 8678 = 1862. Let t = x + 313. Let z = 8 + -6. Solve t*v = -11 + z for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 27956, 27950, 27944?\n\"Answer: -6*g + 27962","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4574 + 2)*1\/1. Suppose -3*r + 926 + l = 0. Suppose 2812 = 4*o - 4*y, -5*o - 5*y + r = -1651. What is o rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 859 = 150*h - 1747 - 544 for h.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1214736 (base 8) to base 16.\nAnswer: 519de","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (6*sqrt(440)\/sqrt(8))\/(6*(4*sqrt(11) + sqrt(11))).\nAnswer: -3 + sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -3*b + 2744 - 199, -2*i + 4*b = 1280. Let w = -163 - i. List the prime factors of w.\nAnswer: 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 53673360 and 455?\nAnswer: 375713520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7344 and 13804?\nAnswer: 1490832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**3\/3 + 220*i**2\/3 - 1438*i - 1512 = 0 for i.\nAnswer: -1, 27, 84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-4)\/(-6))\/((-6)\/(-162)) is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = q - 2*q - 9, 816*q + 4*j + 14 = 1630*q - 817*q for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*w - 2*w + 0*w)*(-1 + 0 + 2)*(0 + 2 + 1)*(1 - 1 - 13*w).\nAnswer: 546*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b - 4 = 7*b. Suppose b = -q + 16. What is the smallest common multiple of 2 and q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 291\/17 - (-858)\/(-7293)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 6 - 2*q - 123 + 125. What is l(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 a when two letters picked without replacement from {y: 1, a: 2, i: 10, b: 2, e: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.54 + 0.46. Which is the third biggest value? (a) -5 (b) t (c) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -10793 (b) -12 (c) 0.2 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 + 52 = -r. Suppose r*p - 1850 = -287. Suppose -256 = -7*o + p. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 + 1 + ((-8)\/(-4) - -9). Let k be 4\/a*120\/84. Factor 0*d + 0*d**2 - k*d**3 - 8\/7*d**4 + 0 - 4\/7*d**5.\nAnswer: -4*d**3*(d + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (2*-1*4*sqrt(208))**2 + (-1*sqrt(91)*1)\/(-3*sqrt(7)*-3).\nAnswer: -sqrt(13)\/9 + 13316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 306559?\nAnswer: 11, 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.155991, 1\/2, -0.197?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-5096)\/(-760) - (-2)\/(-19)) + -7. What is the nearest to 0.1 in -5, 0.47, w, 5?\nAnswer: 0.47","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134*q + 60537 + 132588 = -9*q. What is the remainder when q is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41119720118 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-17)*b*b*b\/(b\/b**(-19)))\/((b*b*b\/((b*b**(2\/25))\/b*b))\/b*b*b\/(b\/(b\/b**18))) assuming b is positive.\nAnswer: b**(-473\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.0346 and -0.8.\nAnswer: -0.7654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2859 at most as big as 2824?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 6*t**2 + 17*t + 1. Let b be z(-3). Let a(h) = -h + 23. Let q(m) = -13. Let c(n) = b*a(n) + 7*q(n). What is c(7)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -574 + 1518. What is the hundreds digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 14) in base 7?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 42525 equal to 42525?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 162816 is divided by 3614?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 3*r**2 + 18*r. Determine c(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1593 is divided by 42.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*4\/(-112)*(-1)\/(-1).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010000000111111001 - -11010100?\nAnswer: -1010000000100100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -50100 rounded to the nearest one thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4772 is divided by 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-61)\/(1220\/(-80))*4*(-245)\/(-80).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of 5*o**3\/2 - 275*o**2\/2 + 13*o - 2. Let m be f(27). What is the highest common divisor of m and 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -171445.24 + 3.7.\nAnswer: -171441.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ajc when three letters picked without replacement from {j: 3, c: 3, a: 2}.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58130 is divided by 11506?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1692453804.\nAnswer: 2, 3, 19, 23, 29, 31, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -67934*d**3 - d**2 + d + 2. Is f(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -a**3*b**3 - 5*a**3*b**2 + 5600*a**2*b**4 + 2957*b**2 wrt b?\nAnswer: -6*a**3 + 134400*a**2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1210*z - 9049 + 84460 = 279*z for z.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - ddc81?\nAnswer: -ddc81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 4 = -2*j. Let l(i) = -3 + i + 5 + i**2 + 0*i**2. What is the remainder when 6 is divided by l(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 2 = -2*s + x, 5*s + 4*x + 15 = 0. Are s and 1\/22 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -22*s**2. Let f(d) = -138118*d. What is f(o(n))?\nAnswer: 3038596*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1851413 to the nearest integer?\nAnswer: 1361","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 227 - 220. Suppose -f*r = -60 - 3. Solve 4*q - r = -n, -5*n + 3*n - 18 = -4*q for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/45 at most -0.06055?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 642 = -2*f - 13, -4*t + 1328 = 4*f. Calculate the remainder when f is divided by 105.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 55 or 170398\/3127?\nAnswer: 55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 35*d**5 - 90*d**4 - 65*d**3 + 340*d**2 - 300*d + 80 = 0.\nAnswer: -2, 4\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24 - -7) + (-53 - 9).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 19*a**4*l + 31892*a**2*l**3 + 404*l**3 + l**2 + 24428*l wrt a?\nAnswer: 76*a**3*l + 63784*a*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -67157*-9.5\nAnswer: 637991.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18 + -34. Let w = n + 10. Let r = -0.6 + -0.4. Is r at least w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -63? (a) -0.113 (b) -0.07 (c) 0.1 (d) -0.26\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (14\/36)\/(3\/(-15)) and 3\/(86\/34 - 3).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 93 - 93. Suppose b = -2*l + 40 - 36. Suppose -22 = -y - 3*q + 7, -l*y = 4*q - 60. Calculate the greatest common divisor of 112 and y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6996.\nAnswer: 2, 3, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19623803 and 8409?\nAnswer: 2803","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12.7 - 0.7. Let z = h + 12. Let p = z - 23.6. Which is the closest to 0.1? (a) p (b) -3\/2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 - 544*x**2 - 3436*x - 399386. Determine i(-539).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*d**2 + 1 + 0 - 17*d**2 as s*d + u*d**2 + b and give u.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 214613?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*h**2 + 91*h**2 - 26*h**2.\nAnswer: 33*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 - 2398\/436*(-8)\/(-22).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2582571 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 - 10. Let n(g) = 3*g - 1. Let y be n(6). Suppose 4*f = q + y, -m*f + 23 = -5*q - 2. Solve f*j - 5*p = -5, -j + 2*p + 1 + 0 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4805 - 4800. Solve l = u*m - 11, 1 + 1 = 2*m - l for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d - d + 14 = 0. Let l(r) = -8*r**2 + r + 4. Let t be l(d). Sort t, 0, -2 in decreasing order.\nAnswer: 0, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -12*t**5 - 735*t**4 - 12027*t**3 - 64629*t**2 - 65961*t - 12636 = 0?\nAnswer: -39, -12, -9, -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 46784 to the power of 1\/2, to the nearest integer?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s + 5. Calculate x(-10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -2*q**2 + 8*q - 1. Let v be p(3). Suppose -1425 = -v*z - 14*z. What is the remainder when 216 is divided by z?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -2\/17, -3 in ascending order.\nAnswer: -3, -2\/17, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -5*x + 5925, -4752 = -4*a + 2*x - 3*x. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 - 5*k. Let q be j(-4). Suppose 0 = -q*c + c + 18. What is the smallest common multiple of 2 and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + y = -y - 43, 23 = 3*z - 4*y. Let f(a) = 2*a. What is the remainder when 35 is divided by f(z)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16127?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1835*f*v**4 + 4993*f*v**2 - 2*f + v**5 wrt v?\nAnswer: 44040*f*v + 60*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -19 in 1\/6, 2\/3, 0.99, 1\/5, -4, 7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 580577 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 88, 114, 152, 202?\nAnswer: 264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 37 + (33 - (3 + 11))?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1548*g**3 + 181?\nAnswer: 4644*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -2\/9*k**3 - 40\/3*k + 0 + 32\/9*k**2 = 0. What is k?\nAnswer: 0, 6, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/9*-6 + (-8)\/(-2). Let h(n) = -929*n + 929*n + n**z - 12. List the prime factors of h(-11).\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8115937 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -2*t + 6. Let x(n) = -1. Let y(m) = a(m) + 4*x(m). Suppose 4*r - 4 = -4*h + h, -4*r = -3*h - 28. Calculate y(h).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, 1.1, -1\/8, 1\/94?\nAnswer: 1\/94","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*p + p**3 - 3*p + (44 - 83 + 212)*(-2*p**3 + 0*p**3 + 3*p**3).\nAnswer: 174*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + ((-9 - -5) + 4 - -5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 68*g**3 + 8*g**2 - 68*g - 8.\nAnswer: 4*(g - 1)*(g + 1)*(17*g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 - 40*u**2 - 345*u - 2. Let c be l(-28). Calculate the highest common divisor of c and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9 + 7)*82\/(-4). Let j = 112 - l. What is the remainder when j is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 38*h + 37*h - 20 = 0, 4*z - 20 = 5*h. Solve z*q + 8 = -2*u + 6*q, 5*q + 25 = -3*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 79724447?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84972.81 days to nanoseconds.\nAnswer: 7341650784000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -14 (b) -5 (c) -1 (d) -0.05 (e) -0.02 (f) -0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46561723 - 46561714 + 93123437 + q.\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 987142097 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1217885 is divided by 38?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.2 (b) 8\/7 (c) -49 (d) -2\/11 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, 8, -2.\nAnswer: -2, 1, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004329 to 4 decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wt when two letters picked without replacement from ltlwwzlrrw?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2263649 * 7.\nAnswer: -15845543","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-5 + 3 + 3)*(-6 + 0 + 0) + 0 + 1 + 1)*(-15*j - 4*j + 42*j) to r + n*j and give n.\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qllqkqllqqqlnxqln. What is prob of sequence nl?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eiiittjieaieeeetjei. Give prob of picking 1 t, 1 a, 1 i, and 1 e.\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of -2*g**3 + 0*g + 1\/40*g**5 + 0*g**2 - 2 + 0*g**4. Let f(o) be the third derivative of d(o). Let p(y) = -y**2. Give p(f(w)).\nAnswer: -9*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*g + 2*g + 3*g)*(-1 + 2*g + 1) - 1283 + 1283 + 112*g**2)*(2*g**3 + 4*g**3 - 2*g**3).\nAnswer: 464*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 27394 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -17 - 10) + -7\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 8803517778+0.8\nAnswer: 8803517778.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6 + 3*y - 3*y + y**2 + (-y + 0*y - y)*(7*y - 28 + 28).\nAnswer: -13*y**2 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 315, 361, 413, 471, 535, 605, 681?\nAnswer: 763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -325 - 43. Let d be ((-3774)\/(-27) - (-12)\/54) + -2. What is the greatest common factor of d and f?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4102.433ms in nanoseconds?\nAnswer: 4102433000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qbqqbqbbqqy. What is prob of picking 2 b?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, b: 8, i: 2, n: 6}. Give prob of picking 2 t and 1 i.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 21.8 and 1.6447.\nAnswer: 35.85446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -37 - -47. Suppose -7*i + l*i + 2646 = 0. What is i rounded to the nearest 100?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 235*h + 45827. Calculate o(-195).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1109*a**3 + 24*a - 221*a**3 - 5790 - 24*a - 4512 wrt a.\nAnswer: -3990*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 12*d + 2*v = -116849, -v = -5*d + 116847. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 681035019?\nAnswer: 3, 7, 3163, 10253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2328005 to the power of 1\/4, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 192286*g**3 + 2042*g**4 + 1136*g**4 - 192286*g**3 + 976 with respect to g.\nAnswer: 12712*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 PM and 4:24 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 1. Let b be (9\/y)\/(3\/2). Solve -j + 0 - b = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*t - 4 = 21*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 6:22 AM?\nAnswer: 10:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13.97591 + -15.9759125. Let l = -65 - -67. Let t = a + l. Round t to six decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -108102*k**2*y**3 + k**2*y + 39*k**2 + 21*y**4 + 11928*y - 3 wrt y?\nAnswer: -648612*k**2*y + 252*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/88 and -27\/17296.\nAnswer: 190256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/(-8))\/((39\/8)\/13). Let n(o) = 34 - o**v - 12*o - 13 - 7. Calculate the remainder when 49 is divided by n(-11).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3936 = -5*f - 5*k + 1339, k + 4265 = 4*f. Calculate the highest common divisor of 44 and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (261\/(-174))\/(3\/6)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -9*k - 70. Let z be a(-9). Suppose -25 = 5*u - 4*l, 5*l - 30 = z*u - 6*u. What is the closest to u in -1\/5, 1\/3, 0.2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 163 is divided by 94.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 - 37 = 2*a. Suppose 4*z - 3*n = -0*z + 34, -4*z = 2*n - 44. Calculate the highest common factor of a and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25628 is divided by 51.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -297, -614, -951, -1302, -1661, -2022, -2379?\n\"Answer: d**3 - 16*d**2 - 276*d - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(((-22)\/77)\/((-48)\/14)). Let c be (-6*(-3)\/a)\/(4\/184). Let l = 294 + c. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b = -4*p - 46, b = -3*p + 238 - 256 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 5. Let b be (0 - 0) + h\/(-3). Let j = 493\/5 - 99. Which is bigger: b or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*y**4 + 3 - y**2 - 7*y**3 - 2*y + 13*y**4 - 16*y**4 as a*y**2 + j*y + n*y**4 + b*y**3 + k and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.83 + 4.54. Let r be 105\/(-225) + 1\/(-3) - -1. What is the biggest value in r, 0, l?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -2*s - i, -3*s + 0*i - 2*i = 19. Let j be (-3 - -2)\/(s\/(-9)). Which is the smallest value? (a) j (b) 0.1 (c) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 30*p**5 - 5*p + 2*p - 10*p - 12*p wrt p.\nAnswer: 600*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1667 (base 9) to base 5.\nAnswer: 20101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 206*u - 5 - 187*u.\nAnswer: -393*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 241120 and 352.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-84)\/24*24\/14\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 v when three letters picked without replacement from unsnvnsvvvvuovvss?\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2*2\/24)\/(-1). Let p = -2.9 - -3.2. Which is the third biggest value? (a) v (b) -10 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 2*n**2 + 3*n + 15. Let r be a(-6). Suppose 122*h = 131*h - 2691. What is the highest common divisor of r and h?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 226 is divided by (33\/55*15)\/1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1290284660 to the nearest 100000.\nAnswer: -1290300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 2*f = -2 - 15, 4*o + f = 16. Let l(q) = -q**3 + 4*q**2 - 3*q + 3. Let z be l(o). Suppose -z = -s + 7. Is 10 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 8:41 PM?\nAnswer: 9:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000309285 rounded to seven dps?\nAnswer: 0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 30 - (125 + -94)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 + 3. Let x be (-1)\/53*(-2313)\/18. Let q = -4\/53 - x. Which is bigger: q or n?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 76\/988 + (-30)\/(-286).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of 0*x**2 + 12*x - 4 - 9\/2*x**4 + 17\/6*x**3. Find the second derivative of b(r) wrt r.\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/19477448 and 101\/24?\nAnswer: 58432344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1072379496 to the power of 1\/2, to the nearest integer?\nAnswer: 32747","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -46 + 55. Suppose y*d + 456 = 1473. Suppose 0 = 4*p + x + d, -3*x - 2*x + 44 = -p. Is -28 > p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - ((-1 - 0) + -11 + 15)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1959462 and 5225232?\nAnswer: 15675696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 68 and 2074?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 3 + 2 = 0. Let b be ((-1)\/(-7))\/(2\/6). Let u = 11 - 8. Sort p, u, b in descending order.\nAnswer: u, p, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + (1 - (6 - -3)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 56*v + 126. Let o be a(-16). Let j = o - -1169. Is j a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1d255 (base 15) to base 11.\nAnswer: -65441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 2*v. Let r(c) = c + 19*c**2 - c - 7*c**2 + c**2. Give y(r(l)).\nAnswer: 26*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27264?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand b - b - 2*b + (0 - 6 + 4)*(2*b + 0 + 0) + 2 + 2*b - 2 + (2 - 2 + b)*(5 - 2 - 4).\nAnswer: -5*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*y + 51*y - 163 = -1048 for y.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -93 - 612. Let v = j - -22559\/32. Which is greater: -1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - 5) + (-198)\/(-90)*10. Let c(b) = 32*b - 21. Let v(r) = -16*r + 10. Let i(p) = -6*c(p) - 13*v(p). Let g(a) = 4*a - 1. Determine l*g(f) - 4*i(f).\nAnswer: 8*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 13*s**2 + 7220*s + 91729. Give r(-13).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -9*f - 7. Let z be p(8). Let u = z + 79. Solve -3 - 15 = -4*g - o, u = g - o - 7 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -33*c**2. Let q(p) = 3*p**2 + 2. Give q(s(b)).\nAnswer: 3267*b**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.99 + 0.01. Let v = -286 + 291. What is the third smallest value in -0.5, d, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 240 = 7*k. What is the remainder when k is divided by 28?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a tonne in grams?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 2) + 2 - -1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 288 and 99556?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(300))*4)**2.\nAnswer: -320*sqrt(3) + 4816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 1.8, 7, -220, -1\/5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 725 is divided by 205.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 + 13 - 5)*(-4*u + u + u).\nAnswer: -38*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 42\/12*(-3)\/(-21)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 - -2 - (21800007 + -7). What is c rounded to the nearest 1000000?\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(3\/11)*n\/n**29*n)\/(n**(15\/11)\/n**(-16)))**43 assuming n is positive.\nAnswer: n**(-20855\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (37\/(-3) - -2)\/(8*(-13)\/(-624)). What is the fourth smallest value in g, 4, 0.4, -4\/5, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 85851 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -31166*n**3*t - 4352*n**3 + 3*n**2*t + 12*n**2 + 5*n*t + 264*n + 50 wrt n.\nAnswer: -186996*t - 26112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.92 - 0.08. Let m = 286.89 + -290. Let i = m + 0.11. Which is the second biggest value? (a) i (b) 4\/5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 - 6*v + 2. Let u(i) = i**3 - 2*i**2 - 3*i + 2. Let a be u(3). Let x = -4 - -11. Suppose -x = -3*f - 2*g + 9, 0 = f + a*g - 8. What is d(f)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and ((-10)\/(-6) + -1)\/(23\/1449).\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, x: 2, e: 2}. Give prob of sequence xe.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5022 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqyddtddttdddddttdtt. Give prob of picking 1 t and 1 q.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 6 = -4*a, -4*a - 4 = -4*v. Suppose -v*b + 1221 = 446. Suppose 5*z - 135 = b. Is z a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of l**3\/2 - 730000*l**2 - 7*l. Let x be g(0). What is x rounded to the nearest 100000?\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -2*o + 4, -2*c = -o + 2 - 10. Solve 0 = -4*i - 2*z - 0 - 12, c*i = 5*z + 2 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1831 bigger than -0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 9616755839 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 111.2 + -136. Let a = w - -25. Is -7 >= a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(91)\/((sqrt(7) - 1*sqrt(7)*-1) + sqrt(7)) + -3.\nAnswer: -3 + sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -63366 (base 8) to base 15.\nAnswer: -7c23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + -212?\nAnswer: -212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, 99 in descending order.\nAnswer: 99, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.451 - 0.549. Sort -3, j, 41 in ascending order.\nAnswer: -3, j, 41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1))**(-33)\/(w**(2\/3)\/(w*w\/(w\/((w**(-2\/19)\/w*w*w)\/w))))*((((((w**7*w*w)\/w)\/w)\/w)\/w)\/(w**(-1\/16)\/w))**(-2\/55) assuming w is positive.\nAnswer: w**(827831\/25080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (42\/10)\/(22\/110). Let z be -4*q\/72 - (-1)\/6. Which is the closest to z? (a) -0.4 (b) -10 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -36768?\nAnswer: 1\/12256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 - ((-3)\/(-3))\/(-1). Let p be 3\/6 - 7\/i. Suppose -w = 5, -2*w + 16 = -2*r - p*w. Sort -2, -4, r.\nAnswer: -4, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z**2 + 25*z**3 - 3*z**2 + 3*z**2.\nAnswer: 25*z**3 + z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 1\/2 (b) 5 (c) 0.2 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(42)\/sqrt(6)*1)**2 - sqrt(7) - sqrt(7) - 1*(sqrt(7) - sqrt(252))) + 5.\nAnswer: 3*sqrt(7) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence onb when three letters picked without replacement from {f: 2, b: 1, o: 1, n: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 6 = -4*z. Let w be (-3 + -1)*(-2)\/z. What is the second derivative of -r**w + 2*r + 3*r**2 - 4*r wrt r?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1036 and -55.\nAnswer: -1091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of -w**9\/5040 + w**7\/120 - w**4\/3 + 2*w. Let j(n) be the third derivative of m(n). What is the third derivative of j(k) wrt k?\nAnswer: -72*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 22*r. What is the tens digit of s(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -21*a + 4. Let j(k) = 1097*k**2 - 7. What is n(j(t))?\nAnswer: -23037*t**2 + 151","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - f - 2*f = 78, 3*p = 4*f + 38. Let v(l) = l - 7. Let s be v(0). Let g = p + s. What is the highest common divisor of 22 and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2070, -2787, -3350, -3681, -3702, -3335, -2502?\nAnswer: -1125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -212*u**4 + 2*u - 2 + 1 - 2 + 415*u**4 + u**3 - 2*u**3 in the form m*u + w*u**2 + s*u**4 + i + x*u**3 and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6079632 and 7657998?\nAnswer: 796431792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 241533787?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of -201014816 and 1.\nAnswer: -201014815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3324 and 184?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 290, 297, 304, 311?\n\"Answer: 7*f + 283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 163 divide 3254025?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-2\/21)*d)\/(d\/d**(6\/5)) assuming d is positive.\nAnswer: d**(221\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 569982861 to the power of 1\/2, to the nearest integer?\nAnswer: 23874","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*t**3 - 328*t**2 + 224*t.\nAnswer: -4*t*(t + 28)*(3*t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 162 = -8*m. What is the greatest common factor of 18 and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -33*n**3 - n**2 + n + 1. Let m be k(-1). Let f(a) = a**3 - 17*a**2 + 31*a - 16. Let r be f(16). What is the greatest common factor of r and m?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 594 - -5?\nAnswer: 599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 804632963 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1194 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 10931661, 10931511, 10931107, 10930323, 10929033, 10927111, 10924431?\n\"Answer: -21*x**3 - x**2 + 10931683","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/540*9*1*-2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, p: 2, j: 4}. What is prob of picking 2 p and 2 x?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*p = 1492 + 15 + 51 for p.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -4, -10, -103?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 574648362 to the nearest integer?\nAnswer: 23972","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 24750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -2*c + 2. Let r = 10 - 12. What is j(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4cc3 (base 15) to base 7\nAnswer: -65523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000006904456 to six decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 22143102 (base 5) in base 13?\nAnswer: 6a119","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1092773?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 13 + 3 = 0. Let c(t) = 2*t**3 + 8*t**2 - t - 4. Let r be c(-4). Solve u - d*u = r for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(225)\/sqrt(3)*6.\nAnswer: 30*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 42*j - 52*j - 40. Is ((5 + -4)*7)\/(j\/(-20)) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26940 rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -292, -476, -624, -736, -812, -852?\nAnswer: -856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-4)\/(-16))\/((-7)\/(-28)). Let o(j) = j**2 + 2*j + 5. Let d(x) = 1. What is a*o(z) - 6*d(z)?\nAnswer: z**2 + 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -92, 367, 1642, 4141, 8272, 14443, 23062, 34537?\n\"Answer: 68*a**3 - 17*a - 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 3*l - 24, 2*m - 23 + 13 = 0. Differentiate -230 + 142*p**3 - 23*p**3 + 56*p**3 - 25*p**l wrt p.\nAnswer: 450*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + k - 2 + (-k + 5*k - 2*k)*(1 + 1 + 0) + (k - 3*k + 4*k)*(-6 + 2 + 3) - k + 0 + 0.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000011111110111110001000 + 100?\nAnswer: -1000011111110111110000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.1 - -0.1. Let o = -0.065 + -0.135. Which is the nearest to -0.1? (a) 4 (b) h (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15477 + 49804. Let b = -23676 + j. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -42, 6, -1?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/2*(-12)\/(-27). Let f = -0.1 + 0. Let i = f - 0.1. Sort h, -3\/5, i in ascending order.\nAnswer: -3\/5, i, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.58 - -0.9. Let h = w + 2.68. Which is the closest to -1? (a) 0.12 (b) -1 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, l: 8, o: 3, m: 2}. Give prob of sequence sms.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 179432 is divided by 179?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 + 0)*(-8 - -7). Solve z + 3 = -c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 52 and 171548.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 x when two letters picked without replacement from rommkcx?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a millisecond in microseconds?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*t + 29 - 309 = 0. Solve t*h = -m - 3, 2*h = m + 4*h + 3 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 + 13. Suppose -f = -y*i - 3*f + 22, 3*f - 9 = 0. Solve i*a + 9 = -2*c + 5*c, -4*a - 3*c = -9 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2526983 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(336)\/sqrt(3) + 2 + sqrt(7) + 0.\nAnswer: 2 + 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 783956?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1161243?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -8 + (6 - 5) - -2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (3 + sqrt(68)\/sqrt(4) + sqrt(153) + 0)**2.\nAnswer: 24*sqrt(17) + 281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 0. Let m(l) = l**3 - 2*l**2 - 1. Let b be m(3). Let x = t + b. Is x a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/(-992)*4)\/(12\/8)?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -22\/53 (b) -0.5 (c) -0.3 (d) 1 (e) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.11 less than 409?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -16*q*v**2 + 182393*q + 326*v**4 wrt v?\nAnswer: -32*q*v + 1304*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: cc8 (base 16) to base 9\nAnswer: 4435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2\/(-15) + 354816\/270 - (4 + 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 775 + -772. Factor 21*r**w + 14*r**4 + 24*r**2 + r**5 - 7*r**3 + r**5 + 18*r**3.\nAnswer: 2*r**2*(r + 2)**2*(r + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 16868?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are 641 and 643 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-35508)\/1420 - (21 + -44 + 8 - 10)?\nAnswer: -2\/355","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a microgram in nanograms?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -2*b**2 - 4. Let z(q) = 2*q**2 + 5. Suppose 0 = 3*n - 6, -43*p + 42*p = 5*n - 7. What is p*j(m) - 2*z(m)?\nAnswer: 2*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -729*l**3*w**2 - 40*l**3*w - l**2*w - 2*l**2 + 4 wrt w.\nAnswer: -1458*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 60 = 50 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 7:12 PM?\nAnswer: 6:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 + g - 6. Let l be r(0). Let j = -3 - l. Let f = 8 - j. Solve -2*c + 1 = -5*k, 0 = -5*k - f - 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/((-6)\/(-5))*150\/103125*-55?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x. Let h be a(4). Let g be 3\/(-10) + 396\/120 - -33. Let p = h + g. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-2))\/((-10)\/((-220)\/(-33)))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 + 56*n**2 + 158*n - 23. What is y(-53)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22 + -14. Let h = -8.3 + f. Let o = -7221\/28852 + 2\/7213. What is the second smallest value in 1\/2, o, h?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 413366544?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/((o*o**4*o)\/o))\/o)**(-1\/8) assuming o is positive.\nAnswer: o**(5\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (189\/28 - 6)\/((-3)\/(-16))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-107006085)\/(-324) + 1\/(-4). Let t = x + -330727. Let f = 462 + t. Which is the nearest to -1\/9? (a) 1\/3 (b) f (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 0 (b) 2\/15 (c) 129067\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -125534 or -2?\nAnswer: -125534","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3653904 = -45*s + 255*s + 1034154. What are the prime factors of s?\nAnswer: 5, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 PM and 1:53 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1003420 + 0?\nAnswer: -1003420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 476781008 take away -74?\nAnswer: 476781082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 3*k**2 - 1716*k = 0.\nAnswer: 0, 572","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**2\/(i**(1\/10)*i))\/(i**(-2\/7)\/i*i)**31)**(-6))**(27\/5) assuming i is positive.\nAnswer: i**(-55323\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 662628, 5300497, 17888858, 42402957, 82818040, 143109353, 227252142, 339221653?\n\"Answer: 662541*c**3 + 82*c + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/12 - (-4)\/16. Suppose 13 = 4*b - 5*a, 0 = -4*b + b + 3*a + 9. Let f be ((b - 8)\/(-2))\/(93\/155). Solve s - 4 + f = o for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -5\/76 (b) 2 (c) 1 (d) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + -381?\nAnswer: -385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y - 4368 = -4*j - 3*y, 2*j - 2199 = -y. Let m = j + -535. List the prime factors of m.\nAnswer: 2, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5, -5, -117, -22 in increasing order.\nAnswer: -117, -22, -5, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/6148926 and -61\/54.\nAnswer: 6148926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the second derivative of y**5\/15 + y**4\/12 + 3*y**2\/2 - 2*y. Let j(r) be the first derivative of u(r). Find the second derivative of j(p) wrt p.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 31609907, 31609936, 31609965?\n\"Answer: 29*q + 31609878","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 65029*s**4 - s**3 - 306*s**2 - 52*s + 2.\nAnswer: 1560696*s - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.06574 and -1.\nAnswer: -0.06574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*u + 5*g + 30, -3*u = 175*g - 179*g - 1 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2187092 divided by 4.\nAnswer: -546773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - -14 - 3 - 7?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 9.5175 from 138783.\nAnswer: 138773.4825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.2 and 0.1008281586299.\nAnswer: -0.0991718413701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -8*p - 19. Let g be q(-8). What are the prime factors of 36\/g + -1*(-1016)\/5?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*u - 59*u - 40865*u**2 + 40856*u**2.\nAnswer: -9*u**2 - 75*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1434727 - -1434733. Let i(p) be the second derivative of p**4\/12 + p**3\/6 - 2*p. What is the lowest common multiple of i(-4) and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1194.035 - -1194. Let v = 0.0621 - 2.0971. Let k = t - v. Is k less than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 AM and 8:39 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oooooo. Give prob of picking 4 o.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 810 is divided by 139?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 7*x - 27. Let c = -20\/57 + -91\/228. What is the nearest to 1\/22 in c, x, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.03 - 0.03. Let u = -1 + o. Put -4, -2\/9, u in decreasing order.\nAnswer: -2\/9, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -359, -358, -357, -356?\nAnswer: -355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((p**(-5\/6)\/p)\/p)\/p)\/p*p)\/p)\/p*p*p**1\/p)**49*p\/(p\/(p**(-4)*p)*p)*p*p*p**(-2\/11)*p\/(p\/(p*p**(-2\/3)))*p*p*p**(1\/6) assuming p is positive.\nAnswer: p**(-7805\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*h = 7*h - 42. Let q(t) = -4*t + 32. What is the tens digit of q(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 + 2*x)*(-5051 + 2019 - 551) as j*x + h and give j.\nAnswer: -7166","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 427 times 10\nAnswer: 4270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -4*sqrt(1872) - -4*(sqrt(1872) + 4).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 1974*f - 1978*f + 3 + 0. Calculate w(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(27) + 1 + sqrt(27)) - (sqrt(27) + -6*(sqrt(27) + 1 + sqrt(27)))) + -5 + -3 + (sqrt(108) - ((-3*(sqrt(108) + 1))**2 - sqrt(108))).\nAnswer: -986 - 81*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 20 = -4*v, 4*m - m = 4*v. What is the third derivative of -v*s**2 + 3*s**2 - 7*s**2 + 7*s**4 - 4*s**2 wrt s?\nAnswer: 168*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 260 + 577.17.\nAnswer: 837.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 20, u - 3 = -4*p - 4. Sort -12, -4, p, -3 in descending order.\nAnswer: p, -3, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 28 = x. Let v be 11\/x - (-7 + 8). What is the nearest to 2 in -2, v, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9854.4 - 9854. Which is the biggest value? (a) -1\/187 (b) 0 (c) z (d) -5 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 22\/5*o**3 + 2*o**4 + 2\/5*o + 0 + 14\/5*o**2.\nAnswer: 2*o*(o + 1)**2*(5*o + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 16170, 2\/11, 1\/3 in descending order.\nAnswer: 16170, 1\/3, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 a factor of 5922?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 68*a - 97*a + 232. Put -4, -11, a in decreasing order.\nAnswer: a, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 415, 1698, 3849, 6874, 10779, 15570, 21253?\nAnswer: 27834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 2 z when four letters picked without replacement from {k: 3, z: 4, c: 4}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 2143 + 69 = 0. Calculate the greatest common factor of 168 and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 801 = -3*z, 5*r - 3*z = r + 3219. Calculate the least common multiple of r and 48.\nAnswer: 3216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16896?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2272893 is divided by 494.\nAnswer: 493","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 174\/5 (b) -5 (c) -0.04 (d) -4 (e) -0.2 (f) 0.9 (g) -2\/19\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Solve 18*u + v - 6*v - 188 = 0, -3*u + 13*v + 10 = 14*v - 26 + 1 for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 884 and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 45\/27*(-30)\/(-25). Let j = -17 - 2. Let f = j + 18.7. Which is the biggest value? (a) -4\/9 (b) f (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d + 138 - 1412 = 0. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 137 + -236. Let b be 1\/(393\/o - -4). Suppose 5*t - 118 = -b. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12\/6 + 65\/1?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2445\/225 + -11 + (-236)\/30?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131*l = -142*l - 77 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.816662475 rounded to 1 decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -0.042, -0.5, -23, 2.3?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m + 3. Let t be 3 - (-2)\/(((-6)\/(-3))\/(-4)). Let r(g) = -3*g - 7. Let h(w) = t*r(w) - 2*i(w). What is h(-5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 362 = -3*x. Suppose x - 61 = 8*m. Solve m = -6*y + y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes before 11:14 AM?\nAnswer: 2:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 679040 and 1554365?\nAnswer: 5305","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 26365 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + (75\/(-12))\/(-5). Let u be ((-6058)\/2184 + 4\/(-48))*(-63)\/(-18). What is the closest to u in 0.4, g, 9?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.7067623215 to 2 dps.\nAnswer: -0.71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -x**3 + 0*x - 2*x**2 - 9*x + 4 + 6*x + 2*x**3 + 20 to n*x**3 + f*x + a + z*x**2 and give a.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*((i\/((i\/i**(1\/5))\/i))\/i)\/i*i)**(6\/31) assuming i is positive.\nAnswer: i**(36\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1877 to 3 dps.\nAnswer: -0.188","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3114 (base 10) in base 8?\nAnswer: 6052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5*-2755804\nAnswer: -13779020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -8) + 6 - 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*g - g - 20, 0 = -i + 2*g - 11. Let x(b) = -b**2 - 3*b. Let v be x(i). Suppose v = -d - d. Solve d + 3 = -p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u + 4. Let n be m(2). Suppose n*c + 3359990 = 3*h, -3*c = -h - c + 1119990. What is h rounded to the nearest one hundred thousand?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -60 + 115 - 2*u**3 - 142 as s + d*u**2 + c*u + n*u**3 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1584 and 16?\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -69, -86, -103, -120, -137, -154?\nAnswer: -171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 1 = -l, 0 = 4*l - 10*m + 12*m + 8 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 112047 to the power of 1\/2, to the nearest integer?\nAnswer: 335","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.3 and -29612075.2.\nAnswer: -29612074.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**(2\/9)\/y)\/y*y**(1\/3))\/(y**(9\/2)*y**2*y))**(-6\/13) assuming y is positive.\nAnswer: y**(11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.783 times 0.0721\nAnswer: 0.0564543","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -4*n**2 + 13*n - 6. Let b(u) = 5*u**2 - 14*u + 5. Let v(w) = -4*a(w) - 3*b(w). Let j be v(9). Let r = -4 + 6. Solve -r*l + 0*l - 6 = j for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 + 10. Let x = 35 - j. Let o(m) = m**2 + 2. Let p be o(7). Calculate the greatest common factor of p and x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15049050457 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -390*(84\/20 + -5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 4 (b) -6.07 (c) 2 (d) 0.1 (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 5*r**5 + 3*r**4 - 3*r**3 - 7*r**2 - 3*r. Let y(j) = 34*j**5 + 20*j**4 - 22*j**3 - 48*j**2 - 20*j. Let p(o) = -20*u(o) + 3*y(o). Factor p(x).\nAnswer: 2*x**2*(x - 2)*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17 + 18. Let d = m + -5. Let c = 15 - 29\/2. What is the third biggest value in d, -0.2, c?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 2342507?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - 130 + 1003. Suppose -5*z + 8*z = t. Let i = -102 + z. Let j(c) = 2*c - 2. What is j(i)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.3 + -0.2. Let m = p + -0.2. Let x = m - 0.3. Which is the third smallest value? (a) 5 (b) x (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -59, -112, -163, -212?\n\"Answer: c**2 - 56*c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -32*i. Let g be (7 - 1)*4\/6 + 51. Let h(p) = p**2 - 55*p + g*p. Give l(h(d)).\nAnswer: -32*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -136111\/21 or -6480?\nAnswer: -136111\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 + 9*h**2 - 2*h + 77. Determine f(-9).\nAnswer: 1553","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -49, 22, 175, 440, 847, 1426?\n\"Answer: 5*t**3 + 11*t**2 + 3*t - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -46e31 (base 16) to base 15.\nAnswer: -5b06d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/t**9)\/t)\/(t**(-11)*t*t))\/(t**(-1))**33 assuming t is positive.\nAnswer: t**33","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -3*m**2 - 20*m - 4. Let n be l(-6). Suppose -n*q + 0*q = 48. Let b(i) = -i**2 - 1. Let x(g) = 5*g**2 - 8*g - 2. Let c(t) = q*b(t) - x(t). Give c(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -200060*r**2 + 7*r - 6987?\nAnswer: -400120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -42 - (1 + 20 + (87 - (62 + 34))).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108*q + 26608 = 26500 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 15*r + 340. Determine h(-24).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x - 20. Let a = -5 - x. Sort 5, a, 1.\nAnswer: a, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -99.6 to the nearest ten.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 4*g**2 - 9*g + 19. Let u be j(3). Calculate the remainder when 103 is divided by (68\/(-16) - -5)\/(1\/u).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 AM and 3:43 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 7 * -16.06\nAnswer: -112.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 278727280 and 30.\nAnswer: 836181840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -240 = -43*s - 5*s. Let q(y) be the second derivative of -y**4\/4 + 17*y**3\/6 + y**2 + y. What are the prime factors of q(s)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 4\/3 (b) 111 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, t: 1, v: 2, a: 1, x: 1, n: 1}. Give prob of sequence ta.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 228?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 98457 a multiple of 230?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -41*x - 243. What is g(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 12 = -4*w, 4*w = -f + 18. Suppose -2*g - 6*m + 3*m + 122 = 0, f*m = -4*g + 236. Calculate the remainder when 111 is divided by g.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30373?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) 2\/3 (c) 0.04 (d) 2\/17 (e) -1493.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1626*j - 2 - 2*j**5 + 28113443*j**4 + 3 - 28105476*j**4 wrt j.\nAnswer: -40*j**3 + 95604*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 40\/2 - (0 + 1). Let a(c) = c**2 + 10*c + 25. Let d be a(-8). Let w = t - d. Calculate the greatest common factor of 80 and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*t + 4*h - 8064 = -15*t, 5*t - 20100 = 5*h. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/5))**(32\/7)\/(((n\/n**(1\/4))\/n)\/(n**26*n)) assuming n is positive.\nAnswer: n**(3559\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 26126\nAnswer: -1\/13063","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1106704*d**2 - 1507315*d + 1 wrt d?\nAnswer: 2213408","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of -13*h**5\/12 + h**4\/24 - 68*h**3 + 318*h**2. Differentiate j(b) wrt b.\nAnswer: -130*b + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72593269.\nAnswer: 7, 10370467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (105\/(-21))\/(0 - (-10)\/(-62))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/2313? (a) 3 (b) 1\/5 (c) 23 (d) 2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l*l*l**(-2\/39)*l**(-11) assuming l is positive.\nAnswer: l**(-314\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 117595?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 18.65942 micrometers?\nAnswer: 0.01865942","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*d**5 - 65*d**4 - 3285*d**3 - 9015*d**2 - 8660*d - 2820 = 0 for d.\nAnswer: -6, -1, 94\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1048, -1049, -1040, -1015, -968?\n\"Answer: v**3 - v**2 - 5*v - 1043","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 205, 855, 1953, 3499, 5493, 7935?\n\"Answer: 224*m**2 - 22*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8670)\/(-2023)*(-28)\/10.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -0*a - 2*a. Suppose -5*c + 93 = v - 166, 0 = -c - 3*v + 49. Suppose a*b - b = c. Is 16 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 239370 divided by 79790?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -4*m + 84, 5*o + 3*m - 27 = 72. Suppose -x = -4*x + o. Let w(y) = y + 14. What is the lowest common multiple of x and w(-6)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4152, 15458, 34278, 60612, 94460, 135822, 184698?\nAnswer: 241088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 186917 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -5df6 (base 16) in base 13?\nAnswer: -ac44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of c**6\/840 + c**5\/30 + 7*c**4\/24 - 7*c**2. Factor k(g).\nAnswer: g*(g + 7)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 210 + 20. Let g = -92 - j. Does 17 divide 201\/9*3 - (2 - g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 15694.60335 to the nearest 1000.\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2019.\nAnswer: 3, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of -3*y**4\/4 - 14*y**3\/3 + y**2 - 11*y - 16. Let o be u(-5). Suppose 0 = -4*v + 5*w - 11, -15 = -o*w - w. Are v and 4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 0)*(6*p**3 + 2*p**3 - 4*p**3 - 2*p + 4*p**3 + 2*p + p**3 + 3*p**2 - 3*p**2 + (p**3 - 3*p**3 + 0*p**3)*(0 - 1 + 2) - 3*p**3 + 2*p**3 + 0*p**3).\nAnswer: 12*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 + 13. Let b = j - -4. What are the prime factors of b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 262 - -674. Suppose -10*d + n + 54 = 0. Is 33 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 3*u - 4*u - 128, 414 = 3*w + 3*u. What is the greatest common divisor of 19 and w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 5*m + 2*n - 10, -2*n = m + 1. Let s(q) = -m*q**2 + 12*q**2 + 1 - 8*q + 8 - 8*q**3. Let u(b) = -b**3 + b**2 - b + 1. Give 2*s(f) - 18*u(f).\nAnswer: 2*f**3 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, j: 1, h: 7, w: 6, u: 2}. What is prob of sequence jw?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 57685*u**5 - 4*u**3 + 47*u**2 - 3131*u.\nAnswer: 3461100*u**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 4*b + 10 = 0, -w + 2399990 = -2*b. Round w to the nearest one hundred thousand.\nAnswer: 2400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 2*t - 57. Suppose j - t = -1. Calculate the remainder when j is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -375.452079 to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20.578 - -20.6. Let g = a + -1.022. Put 1, g, 2.2, -0.2 in descending order.\nAnswer: 2.2, 1, -0.2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - 4*i - 196. Let c = -26 - i. Suppose -4*p = 4*m + 20, m = -2*p - c*p - 20. Solve 2*q + 10 = -m*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4371?\nAnswer: 3, 31, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 60*z**3 + 5*z - 1. Let p(l) = 61*l**3 + 5*l - 1. Let y(w) = 3*p(w) - 2*r(w). Find the second derivative of y(h) wrt h.\nAnswer: 378*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6134 a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 162 - 166 = 0. Let o(y) = 211*y**2 - 4*y + 1. What is the remainder when o(k) is divided by 57?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -27 + 5675b5?\nAnswer: 56758e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 35685?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.6, 4, -1\/6, 11, 2\/3 in decreasing order.\nAnswer: 11, 4, 2\/3, -1\/6, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + h = 104. Calculate the remainder when h is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-21)\/(-18) - (2990\/300 + -12). Let y(w) = -w. Let t be y(0). Solve -4\/5*v**2 + x*v**4 + t - 12\/5*v**3 + 0*v = 0.\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 + 4*y**2 + 10*y - 36. Let v be a(4). Suppose 4*l - 8*l + 8453 = p, -v*p - l = -33842. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m - 1 + 4*m + m)*(10*m**3 - 10*m**3 + 12*m**4).\nAnswer: 24*m**5 - 12*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -2*r - 4. Suppose -9*x + 4*x = 20. Let w be a(x). Let o(b) = 4*b - w*b - b + 0*b. Let k(n) = n**2. Calculate k(o(f)).\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 101 a factor of 41494?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -325525 + 3?\nAnswer: -325522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 9:52 PM?\nAnswer: 7:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaragrargrra. Give prob of sequence gag.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20 + -6. Let d be (-22)\/c + 0 + 2. Which is smaller: -1 or d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 2*i + 23, 2*i + 2 = 4*w - 26. Calculate the least common multiple of 2 and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of -1\/2*o**2 + 4\/5*o**5 + 0*o**4 + 0*o + 0*o**3 + 1. Find the second derivative of w(d) wrt d.\nAnswer: 48*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 2\/3 (b) -1 (c) -0.2 (d) -53\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45934860.\nAnswer: 2, 3, 5, 765581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a decade in months?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 1146089?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18 + 20. Let n = -290 + 293. Which is the nearest to -13? (a) j (b) n (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**2 + 6*t - 45. Let j be m(0). Let g = j + 48. Suppose 2*r - 2 = g*r, 993 = a - r. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 9, b: 3}. Give prob of sequence ppp.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -79 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - 10 - (-10 + (6 - 3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 + 181*i + 880. Let a be x(-5). Which is bigger: -3\/265 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3463, 3459, 3453, 3445, 3435?\nAnswer: 3423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -5 + 1. Suppose 4*u + 8 = 0, 4*i - h*u - u + 1719990 = 0. Round i to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 52 + -52. Suppose -9*n + 32 + 4 = g. Is (n\/5)\/(10\/175) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2237.279 less than 1953023?\nAnswer: 1950785.721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 5*a + 57 + 168, 5*k - 5*a - 1215 = 0. Suppose -13*w = -3*q - 15*w + k, 4*q - 320 = -2*w. Calculate the lowest common multiple of q and 40.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**2 - 7*z - 1. Let g(c) = -c**2 + 3*c + 2. Let q be g(5). Let v = q + 10. Suppose -v*u + 6 = 2*s + 24, 0 = 3*u + 5*s + 31. What is i(u)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-2 + (0 + sqrt(2299) + sqrt(2299) - sqrt(2299)) + -3 + -1*sqrt(2299))**2.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 2*h = -4, -2*f + 5*h = f - 2. Let i(s) = s. Let z(b) = 2 + 2 + 93*b + 87*b - 174*b - 2. Calculate f*z(o) + 3*i(o).\nAnswer: -3*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15 - -6) + 8 + 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11201200002 + -1110?\nAnswer: 11201121122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 326265 divided by -5?\nAnswer: -65253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 3*v. Let b(p) be the third derivative of -p**6\/90 + p**5\/60 + 35*p**3\/6 + 6*p**2 + 3*p. Let d(k) be the first derivative of b(k). Calculate d(g(s)).\nAnswer: -36*s**2 + 6*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 - -17. Suppose 18 = u - b*o - 8, 4*o = 3*u - 45. Suppose -y - 3 = -u. Is 3 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = n + 14, 0 = -4*r + 5*n + 24 - 2 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g + 0 + g**2 - 3*g**2 - 13 + (-2 + 2 + 4)*(95*g**2 - 735 + 2*g + 735).\nAnswer: 378*g**2 + 10*g - 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 449 * -5.\nAnswer: -2245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 55049031367 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1281*k + 4 - 50*k**2 + 1257*k - 2538*k - 4.\nAnswer: -50*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 196 = w. Let t be 224\/w + 2*1. Suppose -4*k = 4*i - 3*k - 3, 15 = 5*k. Which is the closest to t? (a) 2 (b) i (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 289433 minus -767697?\nAnswer: 1057130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 313614 (base 10) in base 13?\nAnswer: ac992","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -2*a**2 - 3*a + 10 - 8*a + 4*a + 6*a**2. Let u be m(-7). Suppose 8*q - u = 3*q. Is q a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -8*h**2 + h - 1. Let j(u) = u + 3. Let p be j(6). Let n be (5\/15)\/(3\/p). Calculate b(n).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/3 - (-201)\/9. Let n be (0 + b)\/((-12)\/126*-7). Calculate the greatest common divisor of n and 99.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 + 2 - -2)\/(-11)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -61\/2 - -30. Let n = -2 - -3. Which is the second smallest value? (a) -0.3 (b) n (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 179757852?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 759106727 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -43.7 not equal to 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the third derivative of p**6\/120 - p**5\/20 - p**4\/4 + 2*p**3\/3 - 70*p**2. Calculate s(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n + 30*n - 25278 = 0. Let v = n + -99. What are the prime factors of v?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2809136018 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of -10*n**2 + 0 + 0*n - 9\/20*n**6 - 11\/3*n**3 + 0*n**4 + 1\/60*n**5. Find the third derivative of i(s) wrt s.\nAnswer: -324","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - -2.5. Let m = -2.5 + v. Which is the nearest to -1? (a) m (b) 2\/3 (c) 0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 99 - 98. Let f be (-3)\/20*10\/(-15). Which is smaller: a or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*d - 2*d - 2*d)*(-d + 1 - 1)*(-1 + 1 - 3)*(d - d + 2*d)*(14*d - 6*d + 4*d).\nAnswer: 72*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5.1? (a) 0.23 (b) 1\/13 (c) -664 (d) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5.9 (b) -0.1 (c) -4 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in three tenths of a micrometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 - 4*v**2 - 8*v + 5. Let n be i(5). Let f be n\/(-9) + -3 + 2. Which is the second smallest value? (a) 2\/9 (b) f (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 6*n**2. Let i(u) = 4*u + 6. Let q(d) = -d + 17. Let j(v) = -v + 9. Let b(o) = 7*j(o) - 4*q(o). Let h(x) = 6*b(x) + 5*i(x). Give p(h(s)).\nAnswer: 24*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 3*d - 14. Let k be z(5). Which is the closest to 0? (a) -3 (b) k (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/2 - (-6)\/(-10))\/((-40)\/960).\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 255482?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -v + 1, -16 = s - 5*v. Let a = 144 - s. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -h + 1, -3*z + 5 = -2*z + 5*h. Suppose z*u + 4 = u, 3*u = 3*s + 9. Solve -y - s = -0*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 + -4.166526.\nAnswer: -0.166526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6*p**2*u - 144373*p*u**2 - 121*u**2 + 2951*u wrt p?\nAnswer: -12*p*u - 144373*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 26*l**2*s**3 + 8*l**2*s**2 + 9486*l**2*s + 36*l*s**3 + 71*s**3 + 2*s**2 wrt s.\nAnswer: 156*l**2 + 216*l + 426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 26657, 26655, 26651, 26645, 26637?\n\"Answer: -r**2 + r + 26657","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 124942238 and 30224.\nAnswer: 3778","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u**3 + 391905415*u**2 - 783810845*u + 391905425 = 0.\nAnswer: -78381085, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t**2 - 15*t**2 + t**2 - 3*t - t.\nAnswer: -11*t**2 - 4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 63280 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 29\/2 of a litre?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/5)\/i*i**(-1))\/(i**2)**(-27) assuming i is positive.\nAnswer: i**(262\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hghg when four letters picked without replacement from ghhghgghhghhhhhhggh?\nAnswer: 77\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert d (base 16) to base 7.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from lllllll?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*l = -27*l + 36. Suppose -l*j + 2211 = -675. Calculate the greatest common divisor of 111 and j.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 45 and 21.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 354390600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13214740 divided by 2642948.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6409257?\nAnswer: 3, 2136419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a millimeter in nanometers?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21 + -1. Suppose -5*x - 1 = -11. What is the greatest common factor of x and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2946*h**2 - 1449*h**2 - 1460*h**2.\nAnswer: 37*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j + 50 = -4*j. Suppose -10*a + 2*m = -7*a - 1, 2*m = a - 7. What is the least common multiple of 24 and (j - 0)*((3 - 6) + a)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 67\/4 + -623\/36. Let f = p + 1\/18. Sort f, 2\/9, -3 in decreasing order.\nAnswer: 2\/9, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2235*-0.03.\nAnswer: -0.006705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14319*y - 14323*y + 204 = 2*x, 3*y = -x + 153 for y.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*t = -3846 - 9369. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13*k**5 - 20677*k**2 + 15372815*k.\nAnswer: -260*k**3 - 41354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/4)\/(9\/(-72)*66)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.5 minus -195?\nAnswer: 189.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3153585 divided by -3?\nAnswer: 1051195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*j**4\/2 - 27*j**3\/2 + 111*j**2\/2 + 27*j\/2 - 54 = 0. Calculate j.\nAnswer: -12, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.013052 rounded to 3 dps?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 112b - 1091?\nAnswer: 7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*j = -129*j - 56*j - 1134. Let c(w) = -8*w. Calculate c(j).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 PM and 1:13 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 + c - 7. Let o be f(0). What is the remainder when (30\/o)\/((-2)\/14) is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5.08 and -2353.\nAnswer: -11953.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 596 + -413. Suppose 125 = -2*a - 2*r - 5, -3*a + 3*r - x = 0. Let j = 90 + a. Does 7 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/(6\/(-8)*4\/(-6)). Suppose 2*f + 0*c = -5*c + m, -3*f + 4*c = 22. Let z(v) = 2*v**2 - 2*v - 3. What is z(f)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27 and 24435.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -130.999886 - -131. Round o to 5 dps.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -373, -1496, -3369, -5992, -9365?\n\"Answer: -375*u**2 + 2*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.87 - 0.13. Let m = t + 3. What is the smallest value in -0.2, -0.3, m?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -30 + 48. Suppose -3*u + b = -0*u. Solve d - 12 = -5*y, -3*d - 6 = -u*d for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*t = 26*t - 147. Suppose o + t = 8*o. Calculate the common denominator of (2\/12)\/(o\/(-658)) and 35\/11.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 462 divide 157876026?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.212 + 0.188. Which is the nearest to -3? (a) 0 (b) -9 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 309411695 to the nearest integer?\nAnswer: 17590","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**1)**14*j**(-5)\/(j*j**6) assuming j is positive.\nAnswer: j**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 19.24 times -1309\nAnswer: -25185.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -9 (b) 27 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2579081 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -24*l**3 - 12*l**2 + 8*l - 28. Let g(v) = v**2 - v + 2. Give -c(s) - 14*g(s).\nAnswer: 24*s**3 - 2*s**2 + 6*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**5 + 16*y**4 - 236*y**3 + 712*y**2 - 848*y + 352.\nAnswer: 4*(y - 2)**3*(y - 1)*(y + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000589218 to 6 dps.\nAnswer: 0.000059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 764*a - 389*a - 354*a.\nAnswer: 21*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - 3. Let p = 3.7 + -3.6. What is the nearest to 1 in p, x, -2\/7?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2634 = 19*p - 4697 - 3352. Is p smaller than 4860\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*r**5\/3 - 5156*r**4\/3 - 23496*r**3 - 81364*r**2\/3 - 16016*r\/3 = 0. Calculate r.\nAnswer: -308, -13, -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 24129\/(-42)*12\/(-9) a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1559855?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 511209.\nAnswer: 3, 79, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a gram in milligrams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 4*(-2*sqrt(240)*1 + sqrt(240))\/(sqrt(72)\/(sqrt(54) - sqrt(6))).\nAnswer: -16*sqrt(5) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of -z**9\/126 - z**8\/112 - 41*z**5\/20 + z**4\/12 + 7*z**2 - z. What is the third derivative of i(d) wrt d?\nAnswer: -480*d**3 - 180*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 - 105\/(-9))*3. Let r = f - 24. What is the remainder when 79 is divided by r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5002704 plus -0.5?\nAnswer: -1.0002704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*f - 25 = -3*f - 3*t, f = -t + 3 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of -b**4\/24 - 5*b**3\/6 + 5*b**2. Suppose -o = -3*s - 7 + 15, 4*o + 32 = -5*s. What is the units digit of n(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/2197440209?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 379 - 340. Let m be (-9 + 2)*(-3 - -2). Suppose 4*d + m = v. Solve 3*x = d + 4 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1259274 divided by 6.\nAnswer: 209879","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 + 9)\/(1\/2). Let u(v) = -s*v - v**2 - 2 + 3*v - v - 10. Let m be u(-9). Sort -1, m, 0.\nAnswer: m, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/25*1630\/3912*(-8)\/(-6)?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = 14*p - 160. Let g(d) = 2*d**3 + 3*d**2 + 3*d + 19. Is g(p) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2702?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 456917 is divided by 456889?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -3, 18, -1\/4, 29, -528?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*i**2 + 60*i + 288 = 0. What is i?\nAnswer: -4, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -15, 5*c - 475 = 3*p - 7*p. Calculate the highest common divisor of p and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8095608 divided by -2698536?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2284841 divided by 3?\nAnswer: -2284841\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 517251 (base 9) in base 4?\nAnswer: 1022332231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 3:30 PM?\nAnswer: 1:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 2*w + 45. Let c = -7629\/2366 + 12\/1183. What is the common denominator of c and 25\/4*(-21)\/w?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**4)\/(d*d**6)*d**6*d\/d**(-3))\/(((d\/((d**(4\/5)\/d)\/d))\/(((d\/(d**(-7)*d*d)*d)\/d)\/d))\/(d\/(d\/d**(-2\/3)))**(1\/22)) assuming d is positive.\nAnswer: d**(1777\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/7 - (-254826)\/693. Calculate the highest common factor of 96 and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 100 by -5.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -693*j + 74 - 2*j**2 + 457 + 693*j as y*j**2 + k + g*j and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*g + 8745 - 8619 = 6*g. What is the smallest common multiple of 13\/4 - 1\/4 and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.179574 milligrams in grams?\nAnswer: 0.005179574","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -213*j - 164810 = -142445 for j.\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8759 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30095 and 130?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6.96 - -362.04. Let d = m + -369.00000159. Round d to seven dps.\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - ((-65)\/10 - -6).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56 - 24 - 13*t + 3 - 32.\nAnswer: -13*t + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of u**7\/2520 - u**6\/720 + u**5\/30 + u**4\/6 - u**2. Let o(n) be the second derivative of z(n). Calculate o(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109272753.\nAnswer: 3, 17, 317, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 232025432 (base 6) in base 10?\nAnswer: 4296188","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27160 = -304*d + 297*d. Calculate the smallest common multiple of 22 and d\/(-44) + 12\/(-66).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 26309 and 18.\nAnswer: 473562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3287.5712 - 0.2197\nAnswer: 3287.3515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 100956615 - -0.4?\nAnswer: 100956615.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(11) - (sqrt(99) + -1)**2) + -3)*-6 + -4*-5*((sqrt(44)\/sqrt(50))\/sqrt(2))**2.\nAnswer: -11866\/5 + 168*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -85 + (-20 - (-3484789)\/33187)\nAnswer: 2\/431","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 30 = -4*s, 3*a + 29 - 11 = 3*s. Let n(j) = 9*j**2 - 9*j - 21. Does 21 divide n(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x - 4 + 4)*((-2 - 2 + 5)*(5 - 2 - 2) + 115 - 79 - 229).\nAnswer: 384*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7870 is divided by 419.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17907*j**2 + 21*j**3 - 8*j**3 + 17907*j**2.\nAnswer: 13*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/5*1*(-308)\/(-11)*(-125)\/(-300).\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of -h**4\/3 + h**3\/6 + 5238*h**2. Let s(r) = 16*r - 2. Give 3*s(a) + 7*v(a).\nAnswer: -8*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -884997 < -885083?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 3601*t**2 + 3*t - 18. Let h be u(3). Round h to the nearest 1000.\nAnswer: 32000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 2:51 AM?\nAnswer: 11:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 65883.8 take away 2.8?\nAnswer: 65881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -616b - -11c?\nAnswer: -604d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s**4 - 36450*s**3 + 2*s**2 + 36450*s = 0. What is s?\nAnswer: -18225, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2)\/r)\/r*r**7*r**3*r*r*r**(-2\/3)*r*((r\/((r*r**(-2\/3))\/r))\/r**1)\/(r**1\/r)**45 assuming r is positive.\nAnswer: r**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(3 + (sqrt(1280)*-2)**2).\nAnswer: -25615","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 80 and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4969201?\nAnswer: 109, 45589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-31)\/(248\/(-24)))\/((-177)\/1888).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -2*y - 9. Let v(p) = -15*p**2. What is v(n(a))?\nAnswer: -60*a**2 - 540*a - 1215","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (((sqrt(192) + (sqrt(192) - (2*sqrt(192) - sqrt(192))*-5))*-4)**2 - (5*(-1*sqrt(192))**2 - (-1 + 0 + sqrt(192))**2)).\nAnswer: -16*sqrt(3) + 149765","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 14991*d - 59840. Calculate u(4).\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -108*p - 606. Determine s(-9).\nAnswer: 366","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1693?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - -6 - (-262 - -215).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**2 + 248010*n + 5955120.\nAnswer: -5*(n - 49626)*(n + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 11\/(-35) - (-3)\/5. What is the nearest to g in 4, 0.04, 3?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64686890.\nAnswer: 2, 5, 151, 42839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1849 divided by 3?\nAnswer: -1849\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 36748 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-2\/3)*b)\/b*b**(-14)\/b)**1 assuming b is positive.\nAnswer: b**(-44\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 610*t = 247*t + 31944 for t.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/30)\/((392\/240)\/(-49)*8)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1011 + 106156\/105. Let n = k - 76\/105. Which is the third smallest value? (a) -3 (b) n (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2933*z**3 - 69*z**2 - 59?\nAnswer: 17598","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.0399 + -0.079. What is k rounded to three decimal places?\nAnswer: -0.039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -38 + 42. Let p = 5 - -14. Solve -j = 3*r - p for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 155607 and 75.\nAnswer: 3890175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 4 = -16. Suppose 3*p = z*p. Suppose 5*d - 264 - 341 = p. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 394 is divided by 127.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 + 8*u + 11. Is 4 a factor of r(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppfipjpi. Give prob of picking 3 p.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 - -9. Let n be 6\/(-8)*2 - -2. Let i = -0.02 + 2.02. Sort n, d, i in ascending order.\nAnswer: d, n, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 213 = u - 27, 0 = 4*f - 20. Suppose 0 = 10*j + 120 - u. Solve 0 = 2*b - 4*s, 0 = -5*b - 0*b - 3*s - j for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 75*a**4\/2 + 755*a**3 + 24541*a**2\/6 + 8758*a\/3 + 1682\/3.\nAnswer: (3*a + 29)**2*(5*a + 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three quarters of a millisecond in microseconds?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1739628.954ms in weeks?\nAnswer: 0.002876370625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 35649?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 + 10\/1)*-1. Let s(c) = -3*c - 21. Let a be s(o). Sort a, -2, 4, 0 in increasing order.\nAnswer: -2, 0, 4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 87, -8, -221, -552, -1001, -1568, -2253?\n\"Answer: -59*a**2 + 82*a + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4806 divided by 2403?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + -18351?\nAnswer: -1834a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -319, -320, -323, -328, -335?\n\"Answer: -n**2 + 2*n - 320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 d when three letters picked without replacement from dedweeedddw.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 10:47 PM?\nAnswer: 1:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 550093?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 34680.6 to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1402, 4, -4, -3 in increasing order.\nAnswer: -1402, -4, -3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 5) + 17 + -16\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 555 and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4193 - 2409. Suppose -2*s + t = 2*z, 2*z - 1772 = 3*s - s. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13.69 + -13.3. Let x = q - 1.49. Let w = 0.6 + x. What is the nearest to 2\/5 in w, 0.5, -0.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1380981*n + 765608 wrt n?\nAnswer: 1380981","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -2*b**3 + 6. Let g(h) = h + 15. Let p be g(-14). Let r(i) = -3. Let f(z) = -10. Let y(j) = -2*f(j) + 7*r(j). Determine p*k(u) + 6*y(u).\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 2 - (1\/7 - -4).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(1088) - (1 + sqrt(153)))**2.\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 50 = 5*y + 53, -10*y + 3*c + 6 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of 10*j**3\/3 + 15*j**2\/2 - 2*j. Let d(t) = -10*t - 7. Let u(k) = 13*d(k) + 6*h(k). What is u(1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((-3*(sqrt(528) + sqrt(528)*1))\/(sqrt(396)*2*1))**2.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -352 - -354.98. Let k = y - -0.02. Which is the smallest value? (a) 4 (b) -0.2 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 597, 529, 415, 255, 49, -203?\nAnswer: -501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*k**3\/17 + 326258*k**2\/17 - 13331109600*k\/17 + 2084950013544\/17 = 0. What is k?\nAnswer: 157, 81486","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3412793, -3412796, -3412799?\n\"Answer: -3*h - 3412790","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.16 (b) -1 (c) -2\/4027\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 2, -0.4, -10\/49, -0.3 in increasing order.\nAnswer: -0.4, -0.3, -10\/49, -0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3681612 by -198.\nAnswer: -18594","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-6)*64\/((-2816)\/2574).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 36\/48 - (-2)\/8. Let s be ((-2)\/(-10))\/(q + 0). Let n = -11\/3 - -7\/6. Which is the nearest to 0.1? (a) n (b) s (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6099460339 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 + 19*s**2 - 467*s + 33. Calculate y(14).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a + 2. Suppose -8 - 12 = -5*l. Suppose -l*i - 21 = -5. Give f(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.7316 - -2.7316. What is the closest to 19 in o, -1\/5, -5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15620479*z**4 - 6928657*z**2?\nAnswer: -374891496*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**0\/((o*o\/o**(-1\/7)*o*o)\/o))**(-37) assuming o is positive.\nAnswer: o**(814\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -130*c + 5661. Give h(44).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1008.9 - 1009.40104. Let y = 0.5 + h. What is y rounded to 4 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 33 - 165?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 + 7*k + 1. Let z be u(7). Let q be (0 + z)\/(1\/3). Let d = 7 + 11. Solve -2*c = -1 + 3, -3*c - d = q*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of 1\/165*c**6 - 1\/11*c**2 + 0*c**4 - 3 + 9*c - 1\/55*c**5 + 2\/33*c**3. Solve s(i) = 0 for i.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x - 25, v - x - 1 = 1. Let j = 0.110722 + -0.110722. Which is the second smallest value? (a) j (b) 7\/2 (c) v (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9793219?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -131 - -134. Suppose 5*w = 4*a - 15, -2*a - 3*w + 28 = 3*a. List the prime factors of (-7 + c)\/(a\/(-85)).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3\/3 - 3973*p**2 + 1615102*p\/3.\nAnswer: -p*(p - 134)*(p + 12053)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2862 = -73*r + 6701. What is the remainder when r is divided by (-21)\/(-4) + 15\/20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (5\/(-10))\/((-2)\/24). Suppose l = 3*x, 0 = d - 0*d - 3*x - 2. Let i be (2 - 0)*12\/d. Solve -3*a + 3*j - 6 = 0, i*a = 4*a + 5*j - 28 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1509 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) -213 (b) -0.3 (c) 16.7 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*(-2 - (-6)\/3). Let b(g) = g**2 + g + 3. Let z be b(l). Suppose d - 3 = z. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 4*k - 4 = -3*t, 0 = -4*t + k + 7. Solve -4 = -d + h - t, -4*h - 8 = -5*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -140*x = -124*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5727 is divided by 109.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -131*d + 17. Suppose 2*z + 50 = 40. Let c be l(z). Suppose -2*v + c = 4*v. Is v a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 + 47*q**2 - 209*q - 73. Let m be s(-51). Which is smaller: 183 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (1 + -14)) + (101 - (-11088)\/(-105))*30?\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1516274.\nAnswer: 2, 758137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1346*x + 4014*x - 4*x**2 - 1344*x - 91*x**2 - 1324*x.\nAnswer: -95*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (24\/(-10))\/((-1)\/5*2). Is 8 greater than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.68 - 2.48. Let w be (6\/(-9))\/((-2)\/3). Let q = 2.6 + -3. What is the closest to q in z, w, 2\/7?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 61740 and 23580?\nAnswer: 8087940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3. Let v(c) = -5*c**3 + 4*c**2 + 4*c + 5. Let o(w) = -4*r(w) - v(w). Let b be o(5). Factor -2\/5*g**2 + 2\/5*g**3 + 2\/5*g**4 + b - 2\/5*g.\nAnswer: 2*g*(g - 1)*(g + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 47*g - 7 - 76*g - 62 - 2*g + 7*g - 3*g + (-1 + 0 + 2)*(-g - 2*g + 5*g) + 5 - g - 5 + 2*g + 2*g - 6*g + 0 + g + 0 - 3*g + g + 3*g.\nAnswer: -26*g - 71","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -0.148, -31\/12 in ascending order.\nAnswer: -11, -31\/12, -0.148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -133 or -85?\nAnswer: -133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -182 plus -4?\nAnswer: -186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31, 4, 7, -1 in descending order.\nAnswer: 7, 4, -1, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + 18 - (7 + 2)) + -12 + 21\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen fifths of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, k: 7}. What is prob of picking 3 k?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 318 is divided by 164?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(((-4)\/(-5))\/((-2)\/5))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147) + sqrt(147) + 4*sqrt(147)*1 + sqrt(147))**2*1 + -4 + sqrt(3) + (-5 + (sqrt(3) - sqrt(3)*-1))**2 + 5.\nAnswer: -19*sqrt(3) + 7241","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 72341 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w - 2*w - 2*w)*(3*w**2 + w - w).\nAnswer: -6*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of -13*n + 53*n**2 + 37*n - 61*n**2 + 38 + 19*n. Is 41 a factor of j(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 2*v + 2*v - 40, 5*v = 2*q + 17. Let k = 0.5 + -0.4. Let g = -1699\/9 + 189. Which is the closest to k? (a) 1 (b) g (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 9:03 PM?\nAnswer: 10:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((17\/(-2703)*-3)\/(-1))\/1.\nAnswer: -1\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140*y + 260 + 300 = 0. Solve 0 = 5*u + 5*j - 4 - 21, y = 5*u - 2*j for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 331 + 11*c**2 - 331.\nAnswer: 11*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6518 or -6517?\nAnswer: -6517","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1429445662?\nAnswer: 2, 373, 1916147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(11) + (sqrt(11) - (1 + sqrt(44))) + -2)*-1)*-3.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -f - 357?\nAnswer: -366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x**3\/9 - 9232*x**2\/9 + 32717360*x\/9 = 0. Calculate x.\nAnswer: -4238, 0, 1930","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 410147606?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of 16 and 0.0679645343.\nAnswer: 16.0679645343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*o + 32*o + 0*o - 2*o - 11*o.\nAnswer: 19*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-2*sqrt(209))\/(sqrt(44)*-6).\nAnswer: sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**5 - 765111*o**4 + 42090180*o**3.\nAnswer: -3*o**3*(o - 55)*(o + 255092)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 + -20 + 2 + 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xsexxxzexzhxxxhxxv. What is prob of picking 1 z and 1 h?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6075166?\nAnswer: 2, 3037583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 73 = 17. Let x = 27 + z. What is the highest common divisor of 18 and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2. Suppose -4 - 6 = -5*w. Let c(d) = 4*d**w + 2*d**2 + 0*d**2 - 5*d**2. Let b(t) = 6*c(t) + 7*o(t). Let y(i) = -9*i**2. What is b(y(h))?\nAnswer: -81*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -6641861.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/4 + (-55)\/22. Let v be (2 - 308\/150)*6\/(-4). Let x = v - 31\/75. Which is the nearest to 0.01? (a) x (b) r (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 8873, 8874, 8875?\n\"Answer: r + 8872","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-159)\/(-33) - 6\/(-33).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 451 + -238. What is the remainder when c is divided by 36?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -126a97 (base 14) to base 13\nAnswer: -1922a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 53\/377 greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kl when two letters picked without replacement from kklcklklk.\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 205 + 34750?\nAnswer: 35155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d**(-2\/11)\/d)*d*d**(-2\/29))\/(d**5)**(4\/13) assuming d is positive.\nAnswer: d**(6529\/4147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1623*v + 13133 = 20304 + 17174 for v.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {h: 5, a: 4, z: 5}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h**2 + 1 - 1 - 2*h**2.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 - 26*a**2 - 45082*a + 1304824. What is y(29)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-9)\/1 - 1)*-6. Let a be ((-3)\/(-4))\/(3\/g). What is the highest common factor of a and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 21 - 3?\nAnswer: 1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + 46?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 1 - 2 - 1) + -3271 + 3294 - 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 4*x**5 + 20*x**4 - 84*x**3 + 92*x**2 - 32*x = 0?\nAnswer: -8, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*v - 2*k - 28, -2193*v + 2*k = -2186*v - 43 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 203*d**2 - 100*d**2 - 99*d**2.\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 = s + 44 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 53201 + -11?\nAnswer: 53160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -8 + (4 - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(6\/11))**(-37))**(-26) assuming h is positive.\nAnswer: h**(5772\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 0*q = 3*q. Let x be 77\/22*(q + -2). Let h be (-2)\/(-21) + (-1070)\/630*3. Which is bigger: x or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 + 159*h**2 - 137*h - 3323. Calculate b(158).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*d**2 - 547*d + 2 - 4*d**2 - 10877*d - 3*d**2.\nAnswer: 2*d**2 - 11424*d + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 88\/5 of a gram?\nAnswer: 17600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3652*4.\nAnswer: 1.4608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 300 = 10*b - 5*b. Let s = b + 57. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, -304, 105, -1, -10 in increasing order.\nAnswer: -304, -14, -10, -1, 105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 5*s. Let y = 21 - 19. Suppose -y*q = -6*q - 24. Let x(t) = 11*t. Give q*x(z) + 13*d(z).\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -67 (b) 2\/191 (c) 1 (d) 0.1 (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 445130?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*t + 35 - 35)*(0*t + 0*t + t**2) + 9*t**3 + 3*t**3 - 6*t**3.\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -594 (base 11) to base 14.\nAnswer: -388","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20 - 0. Let a be 5\/k + (-1)\/4. Suppose a*j = -3*j + 39. What is the greatest common factor of j and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/((-75)\/(-70))*78\/(-182)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39, -1, -73, -189, -361?\nAnswer: -601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -428 = 4*s - 144. Let d = 62 + 93. Let g = d + s. List the prime factors of g.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2 + 9791*m - 9792.\nAnswer: (m - 1)*(m + 9792)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -4*b - 2, z = 2*b - 1. Suppose -4*n + z*n - 4*s = -19, -5*s = -20. Suppose -x = -n*x + 12. Is x a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 3 + 2)*(-2 - 3 - 3)*(2*l**2 + 0*l + 0*l)*(0*l**2 + l**2 - 3*l**2).\nAnswer: -64*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 121002 - -12?\nAnswer: 121021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/80 and -51\/8.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -211 - 2*j**2 - 5*j**2 - 59*j + 4*j**2 - 4*j**2 + 5*j**2 wrt j?\nAnswer: -4*j - 59","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4199?\nAnswer: 13, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x\/x**(-2\/11)*x\/x**0*x**3\/(x*x**(-3)\/x*x) assuming x is positive.\nAnswer: x**(90\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**9*r*r\/(r**(2\/5)\/r)*r*((r\/(r**(2\/5)\/r*r))\/r)\/r*(r**(-11)*r)\/r)**(8\/3) assuming r is positive.\nAnswer: r**(8\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*u - 11*u - 26 + 26.\nAnswer: -15*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*t**2 + 32*t - 32*t as n*t + a + c*t**2 and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/2)\/(-8*(-4)\/(-64))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.986 * 0.01.\nAnswer: -0.00986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jazw when four letters picked without replacement from zzjzzazazzzzawaawzzw?\nAnswer: 11\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -142 + 2862 = 2617*y - 2537*y for y.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 273 - 268. Suppose 960 + 235 = r*u. What is the hundreds digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -2*a**2. Let u(l) be the second derivative of -61\/2*l**2 + 0 - 1\/6*l**3 - 9*l. Determine u(d(i)).\nAnswer: 2*i**2 - 61","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from {k: 2, m: 4}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, r: 3, m: 3}. What is prob of picking 2 m?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -308648, -617312, -925976, -1234640, -1543304?\nAnswer: -1851968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 567 + -552. Calculate the remainder when 88 is divided by b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 7*y - 3. Let t be g(1). Suppose 4*s - 5*a + 4 = -4*a, 12 = -t*s + 3*a. Sort -5, -1, s in descending order.\nAnswer: s, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 9:03 AM?\nAnswer: 4:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 173315038.\nAnswer: 2, 13, 47, 141829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 156222 * -0.26\nAnswer: -40617.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 9:34 AM?\nAnswer: 3:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 330 and 1680?\nAnswer: 18480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -44878aa - -32?\nAnswer: -4487878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zf when two letters picked without replacement from fzzfffffzfffzzff?\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 6*i - 1. What is j(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h - 1. Let u be (-9)\/2 + -3 + 35\/10. Calculate z(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -2. Let l(z) = z - 9. Let m(a) = 2*l(a) - 9*n(a). Let x(g) = 2*g. Give x(m(t)).\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -415135*k**2*x**3 + 4*k**2*x + 410*k*x**2 + 22*k wrt x.\nAnswer: -2490810*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -ebe049 - b?\nAnswer: -ebe054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 - 2*t + 101 - 41)*(-3 + 3 + t - 2*t + 2*t - t + (0 - 5 + 0)*(2 - 2 - 2*t) + 4*t - 5*t + 4*t).\nAnswer: -26*t**2 + 988*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 3677 divide 55169708?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 3*u + 8651. Let i(n) = -736*n. Calculate r(i(z)).\nAnswer: -2208*z + 8651","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 602 + -510. Calculate the greatest common divisor of s and 322.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -325*t - 17159 - 5356 = 178*t + 682*t for t.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14387758 and 252813462?\nAnswer: 1769694234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iix when three letters picked without replacement from {p: 1, m: 1, x: 2, i: 3}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 9, j: 10}. Give prob of sequence jn.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(68) + 0 + sqrt(68)) - -3*2*sqrt(68) - (4 + sqrt(68) + 0 + 1 + sqrt(68)*2))**2*-5 + 4 + -3.\nAnswer: -464 + 100*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 a factor of 168195?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(3\/2))**(-29\/2)*(r\/r**(1\/5))**(-3\/7) assuming r is positive.\nAnswer: r**(-3093\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -4*s**2 - 18*s - 3. Let t be g(-5). Which is the fourth biggest value? (a) 4 (b) 5 (c) t (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + (((-88)\/(-32))\/11)\/((-1)\/4).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -642 - -641.7. Let g = 642 - 637. Let y = -3.93 + -0.07. Put 2, y, r, g in ascending order.\nAnswer: y, r, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -c. Suppose -2*n + 22 = y, 5*y - 100 = -5*n - c*n. Let k(r) = -6*r**3 + 2*r**2 + r. Calculate the remainder when y is divided by k(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1157875 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -2. Suppose -5*c + 0*c + 690 = o. Suppose c = 5*g + 23. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(3*sqrt(57)\/(sqrt(6)\/sqrt(2)) + sqrt(76) + sqrt(76) + 0 + -3 + sqrt(76))*-2*1.\nAnswer: -36 + 108*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 2*w. Let t(l) = -2*l - 508882. Give d(t(o)).\nAnswer: -4*o - 1017764","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i + i**5 + i + (-i - i + 4*i)*(-2*i + 0*i + i)*(4 - 4 - i**3).\nAnswer: 3*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 252 + 20*(-7)\/(-14) is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of 3*x**4\/8 - 4*x**3\/3 + x**2 - 2*x. Let o(a) be the first derivative of q(a). Is o(15) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, 3, -57 in ascending order.\nAnswer: -57, 2\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 7836.362 decades?\nAnswer: 78363.62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 738 + -408. Suppose 25 = 4*x - 2*u + 3, 0 = 5*u + 25. Suppose -x*k = -2*k - o. What is k rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/3))**(-2)*m\/(m*(m\/m**(-2\/15))\/m)*m*(m*m*m**(-3\/4)*m)\/m*((m*m*m**(-5))\/m**(3\/10))**49 assuming m is positive.\nAnswer: m**(-1907\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 149 + -148.8. Let x = 0.3 + 0.1. Which is the smallest value? (a) 0.3 (b) x (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 8:33 AM?\nAnswer: 1:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(-15)*(-5)\/(-16). Let y = w + 153\/16. Calculate the common denominator of y and (-53)\/(1 + (-13 - -1)).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1394, 1397, 1402, 1409, 1418, 1429, 1442?\n\"Answer: l**2 + 1393","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -2*p**3 + 12*p**2 + 354. Let l(f) = 2*f**3 - 9*f**2 - 353. What is -3*a(q) - 4*l(q)?\nAnswer: -2*q**3 + 350","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 42\/5 and -39\/2318.\nAnswer: 11590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40)\/(-15) - (-1175)\/(-525)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*s - 17*s + 4 = 0. Suppose -2*y + 2 = -h + 2*y, 0 = s*h + 4*y - 44. Solve 5*t + h = -11 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -2*r**3 + 125*r**2 + 42*r - 74. Is f(57) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1166 + -1081. Which is smaller: c or -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*u**2 - 12*u**3 - 5*u**3 + 6*u**2 - 13*u**3 + 38*u**3.\nAnswer: 8*u**3 + 15*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 2*z - 31 = 0, -z = -2*d - 4*z + 69. Suppose 0 = 3*q - b - 384600004, d*b - 32*b - 512799996 = -4*q. What is q rounded to the nearest one million?\nAnswer: 128000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -861 divided by 5758.\nAnswer: -861\/5758","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -1799*q**3 + 68*q**2 + 75*q + 4. Give j(-1).\nAnswer: 1796","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -10*u**2 + 36*u + 2. Let x(v) = -3*v**2 + 1. Calculate -a(m) + 3*x(m).\nAnswer: m**2 - 36*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 3*z**2 - 11*z + 20. Let o(c) = c**2 - 5*c + 11. Calculate 2*a(x) - 5*o(x).\nAnswer: x**2 + 3*x - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - 231422041332?\nAnswer: -231422041333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 929?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 - 10*h**2 + 1. Let i be j(-10). Suppose a + 2*a = 3. Let c be -1 + i - (a - 5). Solve -c*m = -4, 4*t - 10 = 2*m + 4 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -715766 at least -715765?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 5.8. Suppose l - 4*l = 3*a - 9, -l + 4*a - 12 = 0. What is the third smallest value in 5, l, c?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80493 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: How many minutes are there between 12:09 PM and 10:20 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11)\/(-2)*558\/1023?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1873368 (base 10) to base 8\nAnswer: 7112730","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 85 - 87. Let w(v) = -2*v**3 - 5*v**2 - 8*v - 7. Let r be w(z). Solve -n + 6*n - 34 = 3*h, -r*n + 5*h = -40 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -207*h*j**3 - 2*h*j**2 - 172*j**3 with respect to h.\nAnswer: -207*j**3 - 2*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-11)\/(-2) + -2 - 1. Let z be (-13)\/(-2)*(-1380)\/(-4485). Which is the closest to 0.1? (a) z (b) -22 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 209 + -212. What is the closest to 1 in -6, 2\/7, l, -2\/19?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 185456265\/528836 - 142823\/404. Let k = 29\/119 + h. Find the common denominator of k and ((-1)\/8)\/((-4)\/62).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 6*g - 9. What is h(-13)?\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -239\/4 - -60. Let r = 0.7 - 1. Let u = -0.7 + r. Which is the nearest to 1\/2? (a) p (b) 5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-42)\/(-21) + 3 + 1. Differentiate -j + 9 + 5 - 8*z**2 wrt z.\nAnswer: -16*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 43 - -107. Let g = w + -98. Let m = g - 14. Is m a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/6)\/((-2)\/26*2223\/513)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18858075023 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -4*p**2 - 7*p + 19. Let u(z) = -z**2 - 2*z + 5. Let r(h) = 2*n(h) - 9*u(h). Let k be r(-6). Solve 5*a - k = -4*m, 0 = -3*m - 0*a + a + 18 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 245115 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10128 and 12?\nAnswer: 10128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 4*n - 26, 4*n - 22 + 24 = 9*l. Is l != -6591?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 9*l. Let w(c) = -1768*c**2. Give w(a(i)).\nAnswer: -143208*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-32 - 26744\/(-1080) - -6) + ((-1)\/(-5) - -1)?\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*p + 2*p + 10*p + 1 + (5 - 1 - 2)*(22*p + 66 - 66).\nAnswer: 45*p + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/25 or 0.27214?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w + 21. Determine k(0).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = 84*c - 1256 + 248, m = 0 for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h + 17. Determine c(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*a**2 - 201*a*n - 124415*n wrt a.\nAnswer: 12*a - 201*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.39 - -0.32. Let u = t - 2.93. What is the second biggest value in 2, 0, u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 j when two letters picked without replacement from {j: 1, w: 1, x: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(((-18)\/(-18))\/(5\/(-205))).\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 14*w**2 - 8*w. Let i(j) = j**2 + 2. Let c be i(2). Let a(n) = -5*n**2 + 3*n. Let u(k) = c*s(k) + 17*a(k). Give u(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 460 and 368?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 58 + -57. Suppose 17 = -4*l + r, -4*o = -3*l - 20. Is 3\/o*(-7 - -485) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -168.642 + 1.6\nAnswer: -167.042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 596257646?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -2*r - 150, -3*r = 142*n - 145*n + 441. What is the highest common divisor of n and 456?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 313*s**2 - 3 + 3 - 311*s**2 + 0 - 6*s.\nAnswer: 2*s**2 - 6*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 179278 divided by 5\nAnswer: 179278\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 AM and 9:52 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -64*u + 359*u + 771*u + 61*u to t*u + s and give t.\nAnswer: 1127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.114, -5, 181 in ascending order.\nAnswer: -5, -0.114, 181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 29*k = -28*k - 6, -2*k = 4*i - 14 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1\/1*9\/(-162)*3\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.2577132 rounded to 2 decimal places?\nAnswer: 7.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.9613 - 1.02719. Round t to 2 dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 488 - 494. What is the biggest value in 4\/7, 0, -4, o?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 6*a - 4781. Let d(c) = -20*c + 14355. What is -2*d(q) - 7*y(q)?\nAnswer: -2*q + 4757","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/v**(-10\/7))\/v*v*v**7\/v*v*(v*v\/v**26*v)**(-18) assuming v is positive.\nAnswer: v**(2971\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1.45*3.8\nAnswer: 5.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*h - 2*h - 32. Suppose h*u - 3*d = -0*d + 132, -5*u = 5*d - 200. Suppose 55 + u = f. What is the tens digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -94 + 186 + 2*g**2 - 92. Let o(a) = 55*a**2. Determine o(z(j)).\nAnswer: 220*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 43, 369, 2\/7 in descending order.\nAnswer: 369, 43, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -144\/596635 or 1?\nAnswer: -144\/596635","meta":{"dup_signals":{},"source":"comparison__pair_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: Four letters picked without replacement from {k: 1, i: 3, u: 1, g: 2, s: 3, y: 2}. Give prob of sequence gkgi.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 0.041 (b) -2067 (c) 5 (d) 3\/4 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + -1 + 5 + -3. Suppose 75 = w - 2*r, -153 - 178 = -5*w - r. Let k = -37 + w. Solve l = -v - 0*z - 3*z + 20, z = -5*v + k for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (14 - 10 + 7)*(9*c**2 + 300*c**2 + 95*c**2) as t + v*c**2 + k*c and give v.\nAnswer: 4444","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i - 11 = 13. Solve -i*z + 9 = -0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28.1 + -27. Let o = z - 0.7. Sort 4, o, 1\/5 in descending order.\nAnswer: 4, o, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 31578*i**3 + 84*i**4 - 31578*i**3 + i**4 - i**4 - 2*i**4 + (i**4 - 2*i**4 + 3*i**4)*(0 - 2 + 0).\nAnswer: 78*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 9:32 AM?\nAnswer: 10:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 - 0. Let u = s - -12.9. Is -2\/5 less than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -52130*f**2*h**3*r**2 + f*h**3*r**2 - 8*f*h**2*r**2 + f*h**2 - 10*f*h wrt f.\nAnswer: -104260*h**3*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129492 is divided by 17996.\nAnswer: 3520","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3, -8, -11, -12?\n\"Answer: p**2 - 8*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -355 + 7457\/21. Let g = 7 - 10. Let m = 6 + g. Which is the third smallest value? (a) n (b) -1\/4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/3, 3, -0.2, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -62, -55, -44, -29, -10, 13, 40?\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -930, -3629, -8096, -14331, -22334, -32105, -43644?\nAnswer: -56951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000141220622 to 6 dps.\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*t**3 - 1619*t + 88574 with respect to t.\nAnswer: 9*t**2 - 1619","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -8 (b) -2\/817 (c) 0.34 (d) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/101009160 and 61\/3086391.\nAnswer: 1111100760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -729 + 466. Let k = r - -261. Which is the second smallest value? (a) -14 (b) k (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -124.5 - -121.5. Suppose -5*s + 28 = -2*t - s, -5*t = s + 26. What is the biggest value in -5, q, t?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 308 in -1, -0.06, -0.5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and -22828909?\nAnswer: -91315636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 50 by -101.\nAnswer: -50\/101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 252144 or 250362?\nAnswer: 252144","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b**2 + 5*b**2 + b**2.\nAnswer: 7*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 7*u - 6*u. Suppose u = 6*s - s. Let z = 974 + -961. What is the remainder when z is divided by s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of 0 + q**2 + 0*q + 1\/120*q**6 + 0*q**4 - 1\/6*q**3 + 1\/30*q**5. Suppose 2*x + 12 = 3*x - 5*w, 3*x + 3 = 2*w. What is j(x)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3203356*j**3*w**3 + j**3*w + 641*j**2*w**2 - 9*w + 4 wrt w.\nAnswer: -19220136*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 227 + -211 + (-120)\/7 + (-79)\/(-63)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 53404\/2135 + -874\/61. Let f = 52\/5 - l. What is the third smallest value in 5, -4, f?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, g: 5, t: 11, o: 2}. What is prob of picking 1 v and 2 o?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-6 - -9) + -2)\/(1\/11). Let d(w) = 3*w**2 + 3*w - 3. Let l(t) = -t**2 - t + 1. Give q*l(k) + 4*d(k).\nAnswer: k**2 + k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 712354804?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10546 by 6.\nAnswer: -5273\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - 1a1?\nAnswer: -1a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 389*d - 115*d = -600*d + 22724 for d.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q + 3. Let s be x(8). Sort s, -4, 2 in descending order.\nAnswer: 2, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1145557*k**6 - 2136295*k**2.\nAnswer: -137466840*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2895 + -4304. Let p = g - -1414. Let v(j) = -j**2 + j + 4. Let w be v(0). Solve -w*r = -p*r + 2 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -201, -386, -561, -720, -857, -966, -1041?\nAnswer: -1076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -25 in 3, -0.2, 20, 9\/4, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-10)\/(-4)*(-342)\/(-15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 9*u + 5*u + 144*u + 64*u.\nAnswer: 222*u + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 690867369 and 1821.\nAnswer: 1821","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by -230620.\nAnswer: -3\/115310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28, 42, 62, 88?\nAnswer: 120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7192\/3 - 2398. What is the nearest to 0.1 in 20, o, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9.5 + -0.968.\nAnswer: 8.532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 3*f + 11. Let x be h(3). Let z be 45\/(-6)*x\/(-30). Solve -2*k - z*l + 15 = -7*k, 5*k + 4*l = -33 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 405418109 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7651241*n**4 + 17687480 wrt n.\nAnswer: 30604964*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*n + 230 = -26*n. Let b = -30 - n. Calculate the highest common divisor of b and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 505\/15*(-1 + 3 - -13) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - -1. Let p = 0.4 - 5.4. Let l = 2 + p. Which is the third biggest value? (a) -0.4 (b) l (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of 0*w**5 - 2*w + 0 - 4\/3*w**6 - 7\/3*w**3 + 0*w**2 + 0*w**4. What is the second derivative of q(t) wrt t?\nAnswer: -480*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18, -1, -32, -75, -130?\nAnswer: -197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1353*a + 1361*a = 9 - 1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 - 11*i + 23. What is the units digit of j(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -446\/5 (b) 1\/3 (c) -5 (d) -2 (e) -31\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mvvv when four letters picked without replacement from {v: 7, x: 1, d: 1, e: 3, f: 4, m: 2}.\nAnswer: 7\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -10 + (4608\/40)\/12\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 + 22 = 10*b - 20. Solve -b*z + 24*p = 28*p + 6, -5*p - 10 = 2*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11 or -17293?\nAnswer: -17293","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0013427038 rounded to 6 decimal places?\nAnswer: 0.001343","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -70*q**4 - 3*q + 71*q**4 - 1 - 3*q**3 + 1 + 4 to z*q**3 + t + p*q + r*q**4 + x*q**2 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 PM and 12:57 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4060467\/67816 - -2\/8477. Let t = 3653\/56 - g. Find the common denominator of t and -51\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.134 rounded to two dps?\nAnswer: -1.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 0.5 (c) -0.4 (d) 0.2 (e) -1\/3 (f) 46820\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1053) + -1 + -3 + -6*(-1 + sqrt(1053) + sqrt(1053)) + sqrt(1053) + -2 + 0)**2.\nAnswer: 105300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 + 3. Let h be n(0). Suppose -61 = 6*j - 277. Suppose j*s - 382 = 50. Solve h*p - 2*m = m - s, p + m - 4 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, j: 4, h: 4}. What is prob of picking 2 h and 1 j?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y + z - 6*z - 75, -75 = -3*y - 3*z. Let d be 159\/12*(y - -7). Suppose 14*m = 6*m + d. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.018 * 11846.\nAnswer: -213.228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -5*c + 4*c. Suppose -c*f - 1 = -9. Suppose -2*l + f*v + 60 = -0*l, 5*v + 123 = 4*l. Is 11 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(-2) - 1*(2 + (-28)\/(-8))\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 + 5*k**2 - 3*k - 4. Let x be j(-5). Let s be (1 - x\/(-7)) + -2. Let v = 3 + -3.1. What is the closest to 0.3 in s, -3, v?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-2) - 21\/6. Let x be (18\/(-15))\/((-4)\/70). Let z be (-15)\/x - (-2 - -1). Which is the second smallest value? (a) 0 (b) z (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y + 88 - 513 = -20. What is the remainder when y is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1314, -2627, -3940?\n\"Answer: -1313*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**3\/x**(-7))**(-9\/8) assuming x is positive.\nAnswer: x**(-45\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - 4*y + 4, -2*y = 2*y - 4. Let d be 8\/(-10)*(-9 + 4). Find the second derivative of r**4 + v*r + r**d - r wrt r.\nAnswer: 24*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10278 by 3426.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3876*f = 3870*f - 48 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30, 732, 0.882 in increasing order.\nAnswer: 0.882, 30, 732","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 1092?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 3*w + 144, -180 = -2*k - 3*k - w. What is the greatest common factor of 4 and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -96*l + 106*l, 3*m = 4*l + 6 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -3*k + 2. Let o be -1 - -1 - (-8)\/4. Let r be h(o). Is -3 != r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 137564, 550310, 1238236, 2201342, 3439628, 4953094, 6741740?\n\"Answer: 137590*z**2 - 24*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (9 - (-130)\/(-9))\/(-2 - -1). Which is greater: 5 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fc0d7 (base 16) in base 8?\nAnswer: 3740327","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5)\/25 + (-64)\/5. Let n = c + 17. Suppose 3*y = n*v, -3*v = -4*y + v. Solve y = m - 5 + 1 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (122 - 124) + -7 + 2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of 29*o**6\/120 + o**5\/30 + 11*o**4\/6 + 31*o. Let z(g) be the third derivative of m(g). What is the units digit of z(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2\/8105 - -16156\/218835. Suppose p + 2*m = 8, -p - 5*m + 6 = -8. Sort 2\/3, l, 0.06, p in descending order.\nAnswer: p, 2\/3, l, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2389497 to the power of 1\/3, to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 14993, 30824, 46655?\n\"Answer: 15831*q - 838","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let p = 2\/2733 - 3650\/8199. Which is the closest to -0.1? (a) -1 (b) p (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 28.956339 months?\nAnswer: 0.00241302825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.858 rounded to 0 dps?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 21445110 + -14?\nAnswer: 21445052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + 318?\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 3\/695 and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2730 divided by -99.\nAnswer: 910\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2321 (base 13) in base 9?\nAnswer: -6675","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - -3?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -950, -949, -948, -947, -946?\nAnswer: -945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -9*w**3 - 9*w**2 + 3*w - 3. Let b(d) = -28*d**3 - 28*d**2 + 10*d - 10. Let p(r) = -3*b(r) + 10*f(r). What is the third derivative of p(z) wrt z?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 396284*p**2 - 165434*p wrt p?\nAnswer: 792568","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*j = 372452 + 40288. List the prime factors of j.\nAnswer: 3, 5, 2293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) 4 (c) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000011011101001 - 101?\nAnswer: -10000011011101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1131891743*s**2 - 1212*s - 8260 wrt s.\nAnswer: 2263783486","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-112)\/42*4\/(8\/3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*w**4 + 18*w**4 + 5*w**2 - 5*w**4 + 2*w**4 + w - w + 8*w**4 - 10 + 10 + (w - 4*w + 2*w)*(-w**3 + 4*w**3 - 4*w**3).\nAnswer: 20*w**4 + 5*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(2420) - (sqrt(2420) - (sqrt(2420) + 0)))**2 - (-1 + -1*sqrt(2420))**2.\nAnswer: -44*sqrt(5) + 4839","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {y: 2, m: 1, l: 2, j: 1, b: 6}.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from phhphphhpppppppp. Give prob of sequence phhh.\nAnswer: 11\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 77.34 rounded to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 157015*b*k*z**3 + 4*b*z**3 - 65*b*z - 113*z**3 + 2*z wrt k.\nAnswer: 157015*b*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 13*i**2 - 29*i + 5. Let d(y) = -7*y**2 + 15*y - 2. Let g(z) = -11*d(z) - 6*s(z). What is the least common multiple of 20 and g(7)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -54665531900 to the nearest one million.\nAnswer: -54666000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 30300084715 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - 38928\/4872 - (-1 - -3*5\/15).\nAnswer: 2\/203","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/(-6))\/(6\/(-4)). Let k(f) be the first derivative of t*f**3 - 1 - f - 3\/2*f**2. Let y(w) = -3*w**2 + 8*w + 3. Give 8*k(q) + 3*y(q).\nAnswer: -q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 13) to base 11.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 542.3 - 542. Let d = 2.6 + 0.4. Which is the nearest to 0.2? (a) 2 (b) d (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -80607 divided by -5?\nAnswer: 80607\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 190542 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + -2. Let l = 1031\/3 - 343. Which is the closest to -1? (a) q (b) -4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3.65, 5, -4586 in descending order.\nAnswer: 5, 3.65, -4586","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 14*i - 17. Let s be c(8). What is the highest common divisor of 19 and s?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 263477 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2 - 5. Let y(c) be the second derivative of c**4\/12 + 3*c**2 - 11*c. Suppose -5*f + s - 14 = -2*f, f - s + 4 = 0. Give f*y(a) - 6*q(a).\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -0*d + 4*d - 443, 4*d - 2183 = -5*u. Calculate the greatest common divisor of u and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3551?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 130052 (base 8) to base 4\nAnswer: 23000222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 3*r + 132. Let g be 6\/r + 92\/22. Suppose s = -5*u + 116, -g*u + 5*u - 3*s - 36 = 0. Calculate the highest common divisor of 36 and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -q + 3*j - 13, 0 = 306*q - 308*q - j - 40 for q.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7357 or -7354?\nAnswer: -7354","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*b - 2*b + 0*b + 13999 + 5*b.\nAnswer: 17*b + 13999","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -4*z + 2394, -z - j + 592 = -4*j. Let l = z - 331. What is the hundreds digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 + 2 + (5 - 1). Solve 9*u - 5*h + 16 = 10*u, m*h - 16 = -4*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-30 + 6 + 117)*(84*s**2 + 2136 - 2136) as a*s + p*s**2 + n and give p.\nAnswer: 7812","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4512*h**3 - 10*h**2 + 10*h**2 - 5205*h**3 + 9164*h**3.\nAnswer: -553*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -60726*n**3*s + 357*n**2*s - 34*s wrt n?\nAnswer: -364356*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 183300 rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -3670*d + 17. Let l be g(0). Solve 2 = 2*w + l*n - 19*n, -19 = w + 3*n for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s + 7. Let r be m(5). Suppose 3*i = -2*i + 3*x + 56, -r*i + x + 22 = 0. Let c = 14 - i. What is the remainder when 10 is divided by c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 16357.83075 to the nearest one hundred.\nAnswer: 16400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hxhx when four letters picked without replacement from xxhhhx?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7 times -291?\nAnswer: 203.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 34*j*o**4 + 10163*j*o**3 - 7*j*o**2 + j*o + 311*j + 5*o**4 - 4*o**3 + 35*o**2 - 4*o + 33 wrt o?\nAnswer: 816*j*o + 60978*j + 120*o - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 3 i when four letters picked without replacement from {i: 11, f: 2}.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 PM and 4:37 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -193\/65490 and 21\/740?\nAnswer: 130980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -172418\/12171 - 3\/8114. Let u be 2*1\/2*-13. Is u not equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27080888.\nAnswer: 2, 3385111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2109342 - 2109477.00228. Let c = z - -135. What is c rounded to 4 decimal places?\nAnswer: -0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -254700 to the nearest one thousand.\nAnswer: -255000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1460316 divided by -5106.\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hlhllh. What is prob of sequence hh?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -2*d - 3. Let a be x(-2). Suppose 0 = -h + 45 + a. Does 20 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26 and 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26998 is divided by 5397.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(60) + sqrt(420)\/sqrt(7))\/sqrt(3)*4)\/(sqrt(90)\/(sqrt(9) + sqrt(1089)*-1 + sqrt(1089))).\nAnswer: 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) -0.04 (c) 3 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 89 - 87. Suppose 5*j + 13 = -5*n - 12, -20 = -x*j + 4*n. Sort j, -2, 5, -3 in increasing order.\nAnswer: -3, -2, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (60\/(-9))\/(12\/(-18)). Suppose -6*h + 58 = r. Suppose -2*a + 375 = h*x - 3*x, -171 = -a + 3*x. What is the greatest common factor of a and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zbxzzwbwcbczwttwbwx. Give prob of picking 1 b, 1 x, and 1 z.\nAnswer: 32\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 20129 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -5*t - r, 10*r - 6*r + 14 = -3*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 13 = 3*v, 5*v + 15 = z - 2*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -104 (base 12) to base 9.\nAnswer: -174","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*u**5 + 3*u**5 + 3*u**5)*(1 - 1 + 2) - 2*u**5 + 2*u**4 - 2*u**4 + 2*u**5 - 2*u**5 + u**5 + 20*u**2 - 2*u**5 - 53*u + 14*u + 40*u.\nAnswer: -5*u**5 + 20*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09 minus 1.94?\nAnswer: -1.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -3320423002 (base 5) to base 6\nAnswer: -414204511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**5*h*h*(h\/((((h**(-8)*h)\/h)\/h)\/h*h*h))\/h*(h**(-1\/14)\/h*h)\/h*h**(2\/13)*((h\/h**(2\/31))\/((h\/(h\/(h\/h**0)*h)*h*h)\/h))**(-11\/3) assuming h is positive.\nAnswer: h**(242363\/16926)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 2*v = -24 - 14, 3*v - 41 = -4*m. Let x be 0 + (0 - (-2)\/m). Let q = -384.5 - -385. What is the third biggest value in x, -1\/3, q, -3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -151, -113, -13, 179, 493, 959, 1607, 2467?\n\"Answer: 5*d**3 + d**2 - 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 199, 898, 2065, 3700, 5803, 8374?\n\"Answer: 234*h**2 - 3*h - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15948586, 31897167, 47845750, 63794335?\nAnswer: 79742922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1915, -3867, -5855, -7879, -9939, -12035, -14167?\n\"Answer: -18*v**2 - 1898*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 4) + -6 - -27\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.47845 and -0.03?\nAnswer: 0.0143535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.11 in -7\/209, 2\/19, -0.2, 0.4?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*t - 32*t + 46*t.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -13*h**3 + 5*h**2. What is g(1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*q - 15*q - 6*q - 14*q in the form n + f*q and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -41*y**2 + y**2 - 1270*y + 3149*y - 105*y**2 wrt y?\nAnswer: -290","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21315?\nAnswer: 3, 5, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4223 + 8543. Suppose -12*d - 15*d = -z. Calculate the greatest common factor of 120 and d.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - 13232202?\nAnswer: -13232202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1022966?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*6*(1 + sqrt(2)))**2 - (sqrt(2) - (sqrt(128) - (0 + sqrt(128))**2))*6) + 5.\nAnswer: 209 + 690*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 548 and 3828.\nAnswer: 524436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-11))\/(82\/(-451)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*9*(-8)\/(-36)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/29 (b) 12319 (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34 - 62*u - 34.\nAnswer: -62*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -178163 (b) -2\/9 (c) -12 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 36\/10 - (-6)\/(-10). Suppose o - h + 6 = 0. Which is the third smallest value? (a) o (b) 0.3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 68200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50219466.\nAnswer: 2, 3, 11, 760901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 1:46 PM?\nAnswer: 3:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 9*m**3 - 2*m + 2. Let c(w) = 5*w - 41*w**3 - 76*w**3 + 22*w + 57 - 84. Determine 2*c(g) + 27*p(g).\nAnswer: 9*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2*r + 9. Let w(d) = d - 5. Let k(u) = -u**2 - 10*u - 18. Let z be k(-6). Suppose 2*c - 5*y - 1 = 2, 2*c - 2*y + z = 0. Calculate c*h(a) - 11*w(a).\nAnswer: a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2906, -5702, -8418, -11084, -13730, -16386?\nAnswer: -19082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*a - 190285 = 450250. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1133503*g*w**2 + 212795*g + 5*w**2 wrt w.\nAnswer: 2267006*g*w + 10*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - 2. Let r be 2 + -2 - (-2)\/y. Let m be 2\/8 - 42\/8. Which is the closest to r? (a) m (b) -1\/5 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 d when two letters picked without replacement from cclzlcwcczzlrdd.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 32*a**2 + 21*a - 135. Let n be c(21). What is the greatest common factor of 162 and n?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5541.000043836 + -5541. What is m rounded to seven dps?\nAnswer: 0.0000438","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 51744 - 237867170\/4597. Is -1 != l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of -7*u**5\/130 - 61*u**4\/78 + 172*u**3\/39 - 44*u**2\/13 - 152*u + 1. Solve p(z) = 0.\nAnswer: -11, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p + 28 = 7*p - 4*y, 123 = 5*p - 3*y. Suppose 6*b = 5*b - 11. Let h = -4 - b. What is the remainder when p is divided by h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 76 - 34. Suppose -27*v - 360 = -36*v. Let j(h) = h - v - 3*h + x. What is j(4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/15844 and -39\/380140.\nAnswer: 1505734540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 2:58 PM?\nAnswer: 5:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14130201\/26257 - 16684\/31. Find the common denominator of 53\/44 and z.\nAnswer: 3388","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a decade in years?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1322 - -3905\/3. What is the common denominator of (-5)\/6*(1110\/(-25))\/(-6) and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -7*h + 147. Calculate j(22).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/24 and 131\/504?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7110 = -3*w + 3*o, -3*w + w = o - 4740. Suppose -w = -5*p + 1630. Is p a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12 - 120134511?\nAnswer: -120134523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 10 - 1 = 0. Suppose 775*r - 4986 = 1214. What is the lowest common multiple of f and r?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*9257465\nAnswer: -9257465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/3 (b) 10\/7 (c) 7.8 (d) -3 (e) -718 (f) 1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13069 is divided by 1202?\nAnswer: 1049","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7231279471 to the nearest integer?\nAnswer: 1934","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 - n - 1. Give m(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2092 is divided by 377?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (10\/(-6))\/((-70)\/84). Suppose 2*f + 2 = -i, 0*f + 11 = 3*f - 2*i. Calculate the lowest common multiple of (0 - f\/k)*-12 and 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3454, -6793, -10088, -13333, -16522, -19649, -22708, -25693?\n\"Answer: k**3 + 16*k**2 - 3394*k - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10764 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 19*d + 52932 = 0. What is the tens digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3485, -3486, -3487, -3488, -3489, -3490?\n\"Answer: -b - 3484","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -2*i**3 + 5*i + 5. Let r(q) = -q - 1. Suppose s = 4*h - 5 - 3, 16 = 4*h - 3*s. Determine h*v(a) + 5*r(a).\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -181, -164, -147, -130?\n\"Answer: 17*y - 198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 50, 82, 72, 2, -146, -390, -748?\n\"Answer: -3*n**3 - 3*n**2 + 62*n - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 + 8*u**2 - 12*u - 19. Let z be g(-9). Suppose 2*a - 137 = -5*w, 5*a = z*w - 3*w + 395. What is the highest common factor of 266 and a?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.24 + 0.64. What is the second smallest value in 2\/9, y, -2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112945413 to the power of 1\/2, to the nearest integer?\nAnswer: 10628","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.239 - -0.239. Put -5, 4\/9, -0.4, p in increasing order.\nAnswer: -5, p, -0.4, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -204, -0.2, 7\/6 in ascending order.\nAnswer: -204, -3, -0.2, 7\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3873, -3872, -3871, -3870, -3869?\nAnswer: -3868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the second derivative of o**4\/12 + 5*o**3\/6 + 3*o**2\/2 - 11*o. What is c(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 9 = 13 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.387199 grams in tonnes?\nAnswer: 0.000007387199","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2*u - 4. Let c be a(6). Suppose -5*y + y + c = 0. Let s = -1 + y. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 26535\/2 - 13925. Let b = v + 627. What is the common denominator of b and -91\/24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*y**2 - y**2 - 3 + 2*y - y + y - 12*y in the form v + f*y**2 + g*y and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 984382?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 175 - 1254 - 2*l + 57 - 4*l**2.\nAnswer: -4*l**2 - 2*l - 1022","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -22 + 11*s + 44 + 3*s - 21 - s**2. Determine m(14).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (67 - 65)*(-1)\/2. Let d(o) = 7*o**2 + 4*o + 3. Let z(w) = w**2 + w + 1. Give h*d(c) + 2*z(c).\nAnswer: -5*c**2 - 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 12 times 19200\nAnswer: 230400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 9271957081 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(x*x**(4\/3)\/x)*(x**(-9)*x*x*x)\/x*(x\/(x**(3\/5)*x))\/(x*x**(2\/7)) assuming x is positive.\nAnswer: x**(-968\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 241\/60 - 47\/12. What is the fourth biggest value in j, -4, 2\/9, 3\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) -4563 (c) 843\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - -1 - (2 - (-1 + 2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-20)*s*s**(2\/15)\/s)\/(s*s\/(s**(1\/11)\/s*s))**25 assuming s is positive.\nAnswer: s**(-10988\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 82920 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -0.43, 3\/2, -5, -1, -0.0517?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -335, -681, -1027?\nAnswer: -1373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and (-11)\/44 + 25\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-68)\/(-17578)*47*85\/(-16) - 4\/32\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -232 - -242. Suppose -v*a = -952 - 448. List the prime factors of a.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 13, -9, 3, -435, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-6\/5)*x)\/x)\/((x**(-1\/55)*x)\/x)*(x\/(x*x**(-2\/25)\/x))**(5\/9) assuming x is positive.\nAnswer: x**(-32\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 13051222 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25 - 34. Is 13 a factor of 76\/(-3)*h\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 + 14*a - 10. Let i = -506 - -240. Let f be (-6)\/27 - i\/(-18). Let l be y(f). Solve w - l = 3*n - 3, 5*w = -3*n - 26 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 AM and 11:11 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37, -4, -5, 4, 2, -1, -32659 in ascending order.\nAnswer: -32659, -5, -4, -1, 2, 4, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4 + 9\/3 - -1. Let r(s) = t + 0 - 6*s + 14*s. Let i(v) = 2*v. Give r(i(m)).\nAnswer: 16*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*w - 174 + 66 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-6)\/4)\/((-15)\/6))\/((-82)\/(-1230))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 536256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 399 less than 401?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the third derivative of 13*q**7\/70 + q**4\/12 - 13*q**3\/6 + 170*q**2. What is the second derivative of x(b) wrt b?\nAnswer: 468*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 29\/2 of a kilogram?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14.71 + -28. Let h = r + 14.1. Let k = h - 0.78. Which is the third smallest value? (a) 0.2 (b) k (c) -0.1 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1397.6992 + -1399. Let o = -1.2 - w. Let c = -0.5078 + o. What is c rounded to 1 decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-8\/5)\/w**(2\/11))\/(w**(-2\/3))**16 assuming w is positive.\nAnswer: w**(1466\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*4354.\nAnswer: 4354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(11) + sqrt(88)\/(sqrt(8)*-4) - sqrt(132)\/(sqrt(12)*3)))**2.\nAnswer: 5*sqrt(11)\/3 + 851\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 647 is divided by 36?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, 122, 386, 868, 1640, 2774?\nAnswer: 4342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**2\/3 + 208487*o\/3 - 27798.\nAnswer: -(o - 41697)*(5*o - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.17 in 31, 1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2*y**3 + 2*y**2 - 1. Let f be b(1). Let p be (f\/(-3))\/((-4)\/(-24)). Solve -8 = 2*c + p for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -2. Let z = -0.93 - 37.07. Let f = -41 - z. What is the nearest to 2 in f, 2, n?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 562573?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 r when four letters picked without replacement from urrruurruruuur.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1052063 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000169737 to 7 dps.\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(17\/2)\/(a\/(a*a*a*a**(-22\/9))))\/(a**6*a*a**30*a) assuming a is positive.\nAnswer: a**(-539\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -2*l**2 - 5*l - 35. Give d(-4).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**3\/11 + 133*s**2\/11 - 1054*s\/11 - 867\/11.\nAnswer: -(s - 17)**2*(4*s + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (6\/8)\/(((-285)\/(-13528))\/15) and 24.\nAnswer: 2136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*m - 6 = 12 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**2 - 5*f + 10. Let b be i(-7). Let t be b\/6 + (-8)\/(-12). Suppose t*h = h - 9. Calculate the remainder when 35 is divided by h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 + -7. Let x = 2 - i. Let t = x + -4. Which is the biggest value? (a) -3 (b) 2\/7 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 215574?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6904?\nAnswer: 2, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 925398 divided by 6\nAnswer: 154233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v**(1\/2))*v)\/(v\/v**(-9\/2)*v) assuming v is positive.\nAnswer: v**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 10, c: 9}. Give prob of picking 2 g.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -125 * -11646.\nAnswer: 1455750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-3 + (4 - 3))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 8\/(160\/1428) - 4\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.8818 rounded to 1 decimal place?\nAnswer: 8.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -29*o + 4. Let z be u(0). What is the nearest to 0 in z, 0.13, -1?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a year in months?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(2448)*2 + -3 + -3*sqrt(2448))*-5)**2.\nAnswer: -9000*sqrt(17) + 1530225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 8*l - 3. Let g be k(2). Let q = -1 + g. Let x = q + -8. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -12, -15, 4, 8 in ascending order.\nAnswer: -15, -12, -5, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/5 + 241\/(-5) - 1. Let s = o - -50. What is the nearest to 0 in -3, s, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -47 - 0.01633349205\nAnswer: -47.01633349205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17 - -53. Suppose 0*n = 5*b - 4*n - 60, 2*n = -3*b + y. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2468.08816 from 0.03.\nAnswer: -2468.05816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.3 - -1.35. Let n = s + -0.05. Put -2, 0, 69, n in decreasing order.\nAnswer: 69, n, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 254216 + 0?\nAnswer: 254216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -394675?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 764139673.311 minus 0.2?\nAnswer: 764139673.111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/2*(2 + -6 + 4). Let x be 64\/(-32) - (y + -1). Put -3, 4, x in decreasing order.\nAnswer: 4, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -579145*-22.\nAnswer: 12741190","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 7*d**2 - d + 9. Let z(b) = -8*b**2 - 9. Let g(s) = 6*m(s) + 5*z(s). Let r(v) = 11*v**2 + 24*v + 24. Let i be r(-1). Is g(i) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 - 38 = -4*h. What are the prime factors of h?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = 2*g - 6*g. Let s = -16 + g. Let v be 114\/30 - 1\/(-5). Which is the closest to -0.1? (a) s (b) v (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 120 and 164231720.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 16*z**2 + 8 - 1 - 10*z - 11*z**2. Suppose 0*x = 5*x - 30. Is n(x) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 778151 to the power of 1\/4, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in twenty-seven fifths of a kilometer?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 354026670 to the nearest integer?\nAnswer: 707","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 93 + -100 - (-11 - 5)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(63)*-2 + sqrt(63))*-6)\/((sqrt(72) + 4*sqrt(72))\/sqrt(8)).\nAnswer: 6*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 419, -72, 21 in increasing order.\nAnswer: -72, 21, 419","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104 = -4*q + 30*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 8\/10069 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1b24944 - 4?\nAnswer: -1b24948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 + 5*x**2 - 2*x - 3. Let p be r(4). Solve 3*l = -3*i, 2*l - 3*i - p = 6*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*y**4 - 15*y**3 - 229*y**2 - 213*y + 450.\nAnswer: (y - 1)*(y + 3)**2*(7*y - 50)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 + 6 + (7 - 67).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 less than 60?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 36\/27*(-2)\/4. Let k = -1027.06 - -995. Let i = k - -32. Which is the nearest to v? (a) i (b) 0.1 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 AM and 3:21 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, q: 1, o: 1, m: 2}. What is prob of picking 1 o, 1 m, and 1 q?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1190773 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2*o + 4. Let i(n) = 3*n + 5. Let h(v) = -4*i(v) + 5*z(v). Let f(g) = 16*g**2. Determine f(h(q)).\nAnswer: 64*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = -24*a + 20*a - 20, a = 6*a + 25 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*o + 17*o - 2. Suppose o*a - 35 + 15 = 0. Suppose -10 = h + 2*h - 2*i, -2*i + a = 0. Is h not equal to 2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 68 + -68. Let y(n) = 2*n + 68. Does 7 divide y(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llml when four letters picked without replacement from {m: 12, l: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3)\/6 - -1)*2. Suppose g + 10 = -g. Sort s, g, -4 in descending order.\nAnswer: s, -4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 108, 178, 298, 468, 688, 958?\n\"Answer: 25*v**2 - 5*v + 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sxuu when four letters picked without replacement from {a: 5, x: 1, y: 1, u: 2, s: 3}.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10837 - 4373. What is the hundreds digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 459 - 315. Let s = -48 + k. Suppose 0*m + 3*q + s = 3*m, 2*m - 5*q = 55. List the prime factors of m.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -38*m + 2384. What is u(69)?\nAnswer: -238","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Solve 156 = -43*b + 39*b + 8*h, 0 = -3*b + 7*h - 122 for b.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -12255310 to the nearest 100000.\nAnswer: -12300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 + 6 + 11 + 20?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -6*y - 2. Let t(h) = 2*h + 1. Let l be t(-2). Let u be (-2)\/(-3)*l*3. Does 17 divide i(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 161*j - 3838. What is the thousands digit of f(76)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2 + 0 + 4)*(3 - 4 + 0) + 0 + 3 - 4)*(125*v - 21949 + 21949) in the form j*v + n and give j.\nAnswer: -375","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a millennium in centuries?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.4 + 0.8. Let g = d - 0.8. Which is the second biggest value? (a) -3 (b) 3\/4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -80*w - 199. What are the prime factors of u(-8)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 56100*x**2 + 1458603*x + 78 = 0. Calculate x.\nAnswer: -26, -1\/18700","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 710, 647, 584?\nAnswer: 521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -3*s + 80. Let k be 4\/(-5)*1045\/(-38). Let p be r(k). Solve -4*b - p = -2*l, b + 7 = -0*b - 3*l for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i**2 + 1486080*i + 517640256 = 0. What is i?\nAnswer: -348, 371868","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -70 divided by -8.\nAnswer: 35\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4053.\nAnswer: 3, 7, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -7*d**2 + 9*d + 3. Let s(w) = 4*w**2 - 5*w - 2. Let t(y) = -5*s(y) - 3*x(y). Let v = 12 - 10. Calculate t(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.11 (b) 2\/5 (c) -4\/3 (d) -0.14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -6*i - 58. What is q(-8)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -164402 divided by 7?\nAnswer: -23486","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2\/5 - 2254184*z\/5 - 3155838.\nAnswer: -2*(z + 7)*(z + 1127085)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of w**4\/24 - 2*w**2. Let y(x) = -x**2 + 2*x**2 + x**2. Give y(f(v)).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 58323.8269 - 58333. Let y = v - 0.0269. Round y to zero decimal places.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -2*n**2 - 7*n - 1. Let k be h(-5). Let l be k\/(-12) - 2\/(-3). Suppose -l*u + 369 = u. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9589281.\nAnswer: 3, 13, 19, 12941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4893300889 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/((-2)\/14)*8. Let m be (-64)\/(-3)*(-3)\/(-1). Suppose 2*x = y + 3*y - d, 3*y + 4*x = m. Is 8 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 519*q**2 - 262*q**2 - 255*q**2.\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*d = -88 + 64 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by 40.\nAnswer: -7\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6985.321 rounded to the nearest 100?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 - 4*y**2 - 1. Let h(t) = -t + 18. Let q be h(-3). Let d = 18 - q. Let n be ((-2)\/d)\/(-1*(-12)\/54). Give f(n).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2791313 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uufdyfp. What is prob of sequence ydf?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i. Let s(d) be the second derivative of -283*d**3\/2 - 2*d - 283. What is x(s(q))?\nAnswer: -1698*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -128*j - 19. Let u be g(-3). Let k = u + -351. Calculate the least common multiple of k and 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -25107, -12, -2, 5 in increasing order.\nAnswer: -25107, -12, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-90)\/6)\/(-45))\/((-2)\/(-12)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 2562 divide 22548186?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 + 3*w - 10. Calculate l(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -68190.506 rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1811, -7212, -16213, -28814, -45015, -64816?\n\"Answer: -1800*k**2 - k - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1\/72, 0.26, 0.5, 0.3, 588 in decreasing order.\nAnswer: 588, 5, 0.5, 0.3, 0.26, -1\/72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -52.97 - -0.97. Let h = -51.7 - r. Which is the closest to 0.1? (a) h (b) 4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 5:20 AM?\nAnswer: 2:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -116486 divided by -43\nAnswer: 116486\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of 49*m**5\/60 - m**3\/6 - 3*m**2 - 26. Let u(w) = -2*w**2. Calculate g(u(x)).\nAnswer: 196*x**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 79716?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12328 and 1608.\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-134)\/(-7) + 1)\/(-35 - 11070\/(-315)). Which is the closest to -1? (a) -0.1 (b) z (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, 1832, 2, 0 in descending order.\nAnswer: 1832, 2, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + q + 7 = d, -3*q - 18 = 3*d. Let n(v) = 228*v**2 - 6*v - 5. What is the tens digit of n(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of m**3 + 652*m**2 - 131*m - 8 wrt m?\nAnswer: 6*m + 1304","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 176934733 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = -3*k + 2*d + 11, -d = -2*k + 5 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.05? (a) 0.1 (b) -0.465157 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -245 by 50.\nAnswer: -49\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 614210689 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 2*j - 33 + 145, 3*s = 3*j + 81. Let h = 63 - s. Calculate the remainder when h is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96\/(-18)*((-2 - 34) + -9) is divided by 120?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 5*x**2 + 2*x - 1. Let u be w(1). Let l(q) be the second derivative of -q**4\/12 + 7*q**3\/6 + 125*q. Calculate l(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -91 - -454\/5. What is the smallest value in j, 5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/105*(5 - (-30)\/(-4))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/4)\/(15\/(-20))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1388, 1388, 1390, 1394, 1400?\n\"Answer: s**2 - 3*s + 1390","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -325*d - 143. Let q(w) = 9*w + 4. Let m(i) = i**3 - 22*i - 145*i**2 - 143*i**2 + 277*i**2 + 91. Let r be m(13). What is r*q(z) + 4*p(z)?\nAnswer: -13*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + -6. Let d be 1\/a*(-48)\/4. Suppose d = q + q. Solve -3*y - q = -0*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 + 22*d**2 - 74*d + 33. Suppose 83 = -7*m - 92. Let h be v(m). Solve 4 = -10*a + h*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from bbbbbbebeebbbebe.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 w when two letters picked without replacement from {t: 5, v: 2, i: 3, w: 1, g: 7}.\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 317?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 - 4*t - 27. What is u(6)?\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*u - 5*u = 12*u. Put -1, 1, 18, u in ascending order.\nAnswer: -1, u, 1, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -86, -87, -88, -89, -90, -91?\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 12 = -0. Let x(l) = -l**3 - 5*l**2 + l - 3. Let z(m) = m**2 + 3*m + 11. Calculate the remainder when z(-8) is divided by x(t).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 - 2*a**2 - 6*a - 6. Determine p(5).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-1\/7))**(1\/2) assuming g is positive.\nAnswer: g**(3\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7.00006 + -7. What is y rounded to five decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8202 at least as big as 8203?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 542*h - 13. What is the tens digit of n(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/f**(-4)*(f\/(f\/((f**3*f)\/f)))\/f*((f**1\/f)\/f)\/(f**(2\/7)\/f*f)*(f\/(f\/(f**(3\/7)*f*f)*f)*f)\/f**(2\/19)*f**(-3\/7)*f**(2\/5) assuming f is positive.\nAnswer: f**(5326\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-16430)\/1590)\/(2\/(-6))\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -111 + 72. Let r = -33 - u. Suppose -r = -c + 265. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o**2 + 60*o + 78. Let g(x) = x**2 + 35*x + 38. Let q(b) = -9*g(b) + 5*m(b). Calculate q(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g**5)*g**(-1\/11))**(11\/4)\/(((g**0\/g)\/g)**(2\/19)*((g*(g*g*g**4)\/g*g)\/g)\/(g**(-6)\/g)) assuming g is positive.\nAnswer: g**(-509\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 399 and 138.\nAnswer: 18354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*k + 3*k**2 + 25*k**2 - 126*k**2 - 316*k**2 - 195*k**2.\nAnswer: -609*k**2 + 7*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 204976 is divided by 8071.\nAnswer: 3201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 226 + -85. Let v(a) = -7*a - 93. Let b be v(-17). Let y = h + b. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2 - 1380*p + 238050.\nAnswer: 2*(p - 345)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 - 7. Suppose -u*z - 54 = 5*b, -4*z = -6*b + 3*b - 44. Let o(i) = i**2 + 10*i - 8. Let n be o(b). Solve 5*g - g = n for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 + 7*o**2 - 7*o + 1. Let h be y(6). Suppose -4*w + 11*w = 84. Let a(b) = -w*b + 8*b + 2*b + 3. Calculate a(h).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of -56*((-270)\/(-12))\/(-5) and 20.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*r**3 + 2*r**3 - 5*r**3)*(141*r + 79*r - 362*r)*(3 - 2 + 5) as b*r**2 + v*r + i*r**3 + c + f*r**4 and give f.\nAnswer: 852","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, 2, 7, -0.2, -0.5 in increasing order.\nAnswer: -0.5, -0.2, 1\/2, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14784?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7552 bigger than 7551?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-3) + (810\/972)\/(11\/(-10)).\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 296378?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -o**3 + 2366*o**2 - 979265*o + 112606900 = 0.\nAnswer: 245, 1876","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/5 of a century in decades?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9841108.\nAnswer: 2, 2460277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (647 + 648 - 1277 + 2*x**2 - 11*x)*(0*x - x + 0*x) to the form k + u*x**2 + o*x**3 + j*x and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 537098989 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Is 36341 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4972*d = 4948*d - 432 for d.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 58*q + 57*q - 113*q + 12 as d + l*q and give d.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2528300 and 385228?\nAnswer: 1261621700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 132 = 3*a + 114, 3*b + a - 262 = 0. Is b a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 251*m**2 + 33 - 100*m**2 - 150*m**2 + 17.\nAnswer: m**2 + 50","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = 6426?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 67628 and 37093958?\nAnswer: 74187916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 69620 = 4*o, 2*o + 115990 = -v + 6*v. What is v rounded to the nearest 1000?\nAnswer: 23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -715 and 211 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 142786233?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 + 11*y**2 + 54*y - 60. Calculate the remainder when q(13) is divided by 41.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -61*h + 7. Is t(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 38 - 37. Which is the closest to -1? (a) 0.1 (b) q (c) -0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6647 (base 10) to base 15.\nAnswer: 1e82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 7*g - 22. Give p(6).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 PM and 2:12 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 25720.29 millilitres in litres?\nAnswer: 25.72029","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.7 + 0.3. Suppose 22 = 5*v + 4*d + 2, 8*v - 3*d - 79 = 0. Sort x, v, 2\/21 in decreasing order.\nAnswer: v, x, 2\/21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 + 7*k - 3. Let l = 0 - -6. Give r(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8 - 1 - (-21 - -25)) + (-244 - -283)\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13426.48629ms in weeks?\nAnswer: 0.000022199878125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s = 8*s + 2*s. Suppose 3*p - 196 = -2*t - s*t, -284 = -4*p + 3*t. What are the prime factors of p?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 123361*f + 11. Let j be v(12). Suppose -j = -z + 1919669. Suppose -5*o = 3*p - z, -74047 = o + 2*p - 754055. What is o rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-5)*f*f**(-13\/6))\/(f**(4\/7)\/f**(-26)) assuming f is positive.\nAnswer: f**(-1375\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 156924 - 156928.500047. Let g = z - -4.5. What is g rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1121 (base 3) in base 4?\nAnswer: -223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5399, -5378, -5359, -5342, -5327, -5314, -5303?\nAnswer: -5294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 298009 and 0.\nAnswer: 298009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 + 6. Let t = 13 + n. Let y = 0 + 1. Put t, -2, y in descending order.\nAnswer: t, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1354 a factor of 477667442?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180) - (0 + sqrt(180)*-1) - (sqrt(180) + 0 + -1))*1*-3*4)**2.\nAnswer: 1728*sqrt(5) + 26064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than 7.11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 4*p**2 - 5*p - 5. Let d be v(-1). Let z be 108\/18*(0 - d\/(-21)). Which is the second biggest value? (a) 0.3 (b) -1\/2 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3850429091 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1521 + 0.3521. Which is smaller: 8\/9 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.3 (b) -421 (c) 4\/3 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z, 1 i, and 1 n when four letters picked without replacement from {d: 1, n: 4, s: 6, i: 1, z: 4, o: 3}.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*r, 2*r = -36*n + 33*n + 321. What is the remainder when 353 is divided by n?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 575 and 56120?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72 - 72 + k**3.\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 452077 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-4*(sqrt(405) + -1*sqrt(405)) - (-2 + sqrt(405)*-1 - sqrt(405))))**2 + 3 + 2.\nAnswer: 2592*sqrt(5) + 58469","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -13, -36709 in ascending order.\nAnswer: -36709, -13, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 2*q - 4*x = 12, 5*q - 4*x = 16. Suppose 0 = 3*a - 6*a + 5*f, 2*a - 2*f = 0. Which is greater: q or a?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1\/648 - 161\/648. What is the closest to 1 in o, 3\/4, 2.6?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or -80\/23?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, n: 13}. Give prob of sequence nnt.\nAnswer: 39\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 107008 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 22168926709 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 98.72 (b) -1\/6 (c) -0.02 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18072 and 395325?\nAnswer: 3162600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001019 to five dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/69 and -83\/6?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 44668069001 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 159 + -153. Solve 1 = b + o for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f**2 + 9*f**2 + 12*f**2 - 74*f**2 + 43*f**2 - 381*f = 0. What is f?\nAnswer: -127, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4796, 9276, 14010, 18998?\n\"Answer: 127*z**2 + 4099*z + 570","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -863*n**3*z**2 - 114*n**3*z + n**2 + n*z + 2*n wrt z?\nAnswer: -1726*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 278?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -5bef4f (base 16) in base 15?\nAnswer: -7e02e4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 - 0.535152.\nAnswer: -0.235152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 134*(2 - 1) + (-78 - -79). Suppose -3*v + 51 = -2*g, 0 = v + 3*v + 4*g - 48. Calculate the greatest common divisor of v and b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = w + 14. Suppose 3*r = w - 1. Solve 5*i + j + 5 = 0, -i - j - 1 = -r*j for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 264082710?\nAnswer: 2, 3, 5, 19, 463303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -890, -1780, -2660, -3530, -4390, -5240?\nAnswer: -6080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 2*g + 88, -3*r + 4*g = -8*r + 110. Calculate the remainder when r is divided by 33\/9 + (-1)\/(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4, -2, -554, 0, -0.2, -3\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 696 + -696.04. Let d be 28\/(-6) - (-25)\/5. What is the nearest to -1\/3 in -0.5, o, d?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -9*a - 68. Let x be u(-8). Is -16 bigger than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -173*g**2 - 3*g - 3. Let i(r) = -r**2 - r. Let x(j) = 6*i(j) - m(j). What is the units digit of x(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, 0, 2, -20 in increasing order.\nAnswer: -20, -3, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-70)\/(-42))\/(1\/(-15)). Let t be (-1)\/(4 + u\/6). Solve t = -5*w - 9 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 62\/(-5) + 4\/10. Let l be ((-68)\/y)\/(3\/9). Suppose 0*c + l = 2*r + c, 3*r - 13 = c. Does 3 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -764 divided by 398.\nAnswer: -382\/199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 + 3)\/((-1)\/197). Let h = 311 + d. What are the prime factors of h?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lzwllyzllllzyzwly. Give prob of picking 1 l, 2 w, and 1 y.\nAnswer: 6\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -230*t**6 - 5*t**2 wrt t.\nAnswer: -27600*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 115753570?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -32, 0.26, -8, 1.4 in descending order.\nAnswer: 1.4, 0.26, -8, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x + 36. Let g be y(29). Let z(j) = -2*j**2 + 2*j + 2. Let c(k) be the first derivative of 2*k**3 - 3*k**2 - 6*k - 1. Calculate g*z(o) + 2*c(o).\nAnswer: -2*o**2 + 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((t\/t**(-8))\/t)\/t)\/t)\/t)\/t**(-1\/7))\/(t**(-1\/4))**(-23\/4) assuming t is positive.\nAnswer: t**(415\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 13 + -943?\nAnswer: -930","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36, -49, -70, -99?\nAnswer: -136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -13*d**3 + 2*d**2 + 2*d - 1. Let w be h(-1). What is the highest common divisor of 564 and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/((-128)\/(-6))*(-39)\/(702\/(-12)).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 19677 - 0?\nAnswer: 19677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.593614 rounded to three dps?\nAnswer: 0.594","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48 divided by -5429.\nAnswer: 48\/5429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36, 3, -5, -1, -6, 5 in decreasing order.\nAnswer: 36, 5, 3, -1, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1\/20 - 1\/5. Which is the closest to -1? (a) 2\/3 (b) -4 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.1941 rounded to one decimal place?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 53 + -31. Is 5 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -3*m - 3*n, 0 = 8*m - 6*m - 5*n - 50. Suppose m*x = -2*x + 21539. Suppose -17*s + 10*s + x = 0. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/2, 52, -23, -0.1, 0.2, 2.\nAnswer: -23, -5\/2, -0.1, 0.2, 2, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 127341505?\nAnswer: 5, 83, 306847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 204749 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -8*q**2 - q - 1330 + 1406 + 4*q - q**3. Let u be p(-7). Solve u*y = y + 25 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 - 62 = 13*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 131387045 to the power of 1\/2, to the nearest integer?\nAnswer: 11462","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, -4, 3 in ascending order.\nAnswer: -4, 3, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 292\/(-1)*1\/(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 619 + -881. Is 35\/(-14)*u\/5 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**12\/y)\/(y**17*y)*y**15*y*y*y*y**(2\/19) assuming y is positive.\nAnswer: y**(211\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2651867 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -5065, -5081, -5097, -5113?\n\"Answer: -16*a - 5049","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 343190 to the power of 1\/2, to the nearest integer?\nAnswer: 586","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/(-3))\/(12*2\/12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - -1) + -218 + 303.\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.05265 - 6.05265. Which is the closest to l? (a) -3 (b) 1\/10 (c) -1 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 8.5 and 18.\nAnswer: 26.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -48 + 21. Let m = -292 + -173. Let j = m - -466. Is c >= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s - 12. Suppose 17*r = 15*r. Give j(r).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - f + 15, -f = c - 1. Let l = 0 - c. Find the third derivative of 3*d**l - 4*d**2 - d**2 + 2*d**4 - 5*d**4 wrt d.\nAnswer: -72*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2 + 12*h + 14. Suppose -2*q - 3 = 19. Let u be z(q). Let a(s) = 4 + 0*s + s + u + 0. Determine a(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -66, -88, -134, -216, -346, -536, -798, -1144?\n\"Answer: -2*c**3 - 8*c - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -660.2826 - -660. Let h = 0.0016 + n. What is h rounded to 2 dps?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 296 is divided by 74.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 708373?\nAnswer: 17, 41669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + -4. Suppose 0 = -w*r + 6*r - 9. Solve -5*u = -3*n + n - 26, r = 3*u + 3*n for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/1753088 and 117\/1280?\nAnswer: 8765440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/t**9)\/((t*t**(1\/19)*t*t)\/t))**(1\/12))**12 assuming t is positive.\nAnswer: t**(-191\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 10 = -10, -z - 16 = -5*t. Solve -5 = -z*w - 25 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + y = -m + 4, 4 = -4*y + m. Suppose -5*s + 4*u + 135 = y, 4*u + 140 = 5*s + u. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -413 + 421. Suppose -9*s + y*s = 3*m - 146, -58 = -m - 5*s. What is the remainder when 154 is divided by m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 219 + -239. Let d be (-8)\/s*(-40)\/144*-4. Which is the nearest to 2\/7? (a) -0.2 (b) -2\/11 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -2*b**2 - 76*b - 651. Let r be p(-13). Let g(v) = -6*v**2 - v + 3. Let w(h) = h**2 - 1. Let u = -2 + -1. Give r*g(y) + u*w(y).\nAnswer: 3*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 148 is divided by 50.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 - v + 23. Let l = 9 + -9. Let j be n(l). Calculate the highest common factor of j and 253.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*d**2 - 16*d**2 + 11*d**2)*(-2*d**3 - d**3 + 5*d**3) + 2*d**5 - d**3 + d**3 + (d - d + 2*d)*(3*d**4 - d**4 - 3*d**4).\nAnswer: -48*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2919 + -1b01?\nAnswer: -481a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 14947768211 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 4*t**5 - 44*t**4 + 92*t**3 + 284*t**2 - 576*t - 720 = 0.\nAnswer: -2, -1, 3, 5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-20)\/(-45) + ((-476)\/(-153))\/(-14)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*f + 5*f - 63 = 2*f for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*w - 5*b + 32 = 68*w, 4*b = 3*w + 7. Solve w - 1 = -3*g + s, -g - 4*s - 5 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61928 smaller than 0.0525?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 68\/40 + -1*(-24)\/(-12)\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-56)\/(-6))\/(18\/2484)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 9.89507um?\nAnswer: 0.00000989507","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.12 in 110, 1, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h = -13*h + 92. Suppose -3*i - 8 = -h. Let m(s) = s**2 + s + 5 - 2 - 7*s. Determine m(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.99+0.1158922069\nAnswer: 5.1058922069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 11 = -4*w + w, -3*m - 3*w = 3 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1379408 and 12832746.\nAnswer: 2362","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 5*j**2 - 5*j - 79. Let x(u) = 9*u**2 - 9*u - 138. Let d(t) = -7*n(t) + 4*x(t). Let r(y) = -16*y**2 + 6*y - 4. Determine -5*d(h) - r(h).\nAnswer: 11*h**2 - h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of -j**5\/20 - j**4\/2 - 5*j**3\/6 + j**2 - j. Let p = 8 + -13. Is b(p) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -658*j - 63*j**3 - 4403*j**2 + 101*j**3 + 658*j + 84*j**3 wrt j.\nAnswer: 732","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -233 - -143. Suppose -88 = -4*d + 680. Let g = d + j. Is 34 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -0.3, 0.11, -2\/7, 0.02?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-5)\/175)\/((-2)\/30). Let v = -2.5 + 2. What is the second smallest value in y, 1, v?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/3, -1.5, -7\/6, 3, 2?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -2*z**3 - 2*z**2 - 53*z - 91. Let k(d) = -12*d**3 - 11*d**2 - 264*d - 454. Let o(l) = 11*i(l) - 2*k(l). What is the derivative of o(g) wrt g?\nAnswer: 6*g**2 - 55","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30600 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 415251 by 111.\nAnswer: 3741","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.005 + 0.495. What is the fourth biggest value in 3, -2\/5, z, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.509 - -4.609. Sort 3, v, 207 in decreasing order.\nAnswer: 207, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**3*c*c**(2\/7)*c*c)**(-20)*(c**(-1))**15*((c\/(c**(-1)*c))\/c)**(-3) assuming c is positive.\nAnswer: c**(-985\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, c: 2, f: 1, s: 1, e: 1, v: 2}. What is prob of sequence cfc?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Do 90\/134342851 and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5255728*p**3*x**2 + 5038*p**3*x - 8*p**2*x - 11*x wrt x.\nAnswer: 10511456*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of -5*y**3\/3 + 7*y**2\/2 + 8*y - 1. Let w(z) = 4*z**2 - 8*z - 8. Let t(h) = 2*p(h) + 3*w(h). List the prime factors of t(8).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-96)\/(-28))\/2 + -2\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n - 4. Let p(c) = c**2 + 5*c. Let l be p(-6). Suppose -9*y = -l*y. Determine u(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-12 + 0)*(-3)\/(-6) - -1283. Let m(n) = -634*n + d*n - 642*n. What is m(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*i - 61 - 209 = 0. Calculate the highest common divisor of 240 and i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*v - 4*v - 6. Which is the third biggest value? (a) v (b) 1 (c) 4 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.9 - 3. Let a = 1.9 - j. Which is smaller: -5 or a?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -59\/40 - -11\/8. Which is the third biggest value? (a) 0.5 (b) z (c) -2 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 + 30. Suppose 3*c - p = 2*n, 0 = -0*c + 2*c - 2*n - 6. Let r be ((-14)\/8)\/(c\/(-32)). Solve -3*q = -5*l + 11, 0 = q + 2*l - r*l + 7 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 7556, 15120, 22684, 30248?\n\"Answer: 7564*i - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 94835714?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/4, 53, -1\/2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 2*j**2. Let w(d) be the second derivative of 0 + 0*d**2 + 19*d + 0*d**3 - 1\/4*d**4. What is w(l(s))?\nAnswer: -12*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3736 to 2 decimal places.\nAnswer: 0.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - 1. Suppose -d - 17 = 5*j, -j + 0*j - 4 = q. Let g be (d\/(-4))\/((-10)\/(-8)). What is the nearest to -0.1 in -1, 2\/7, g?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -9*x. What is the units digit of b(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -14*f + 40. Let z be b(3). Let n = -1 + -7. Let s(v) = -v**3 - 7*v**2 + 7*v - 11. Let y be s(n). Put 4, y, z in descending order.\nAnswer: 4, z, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1455 - 5823\/4. Which is the second biggest value? (a) 80 (b) -0.043 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 13*f**2*l - 2*f**2 - 28062*f - 177747*l - 114 wrt l?\nAnswer: 13*f**2 - 177747","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 7 = -2*c, -2 = 1673*m - 1670*m + c + 2 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*h + 4*h - 6252. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3500676?\nAnswer: 2, 3, 97241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21395 and 1945.\nAnswer: 21395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 11) in base 14?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28\/(-14))\/(59\/19 + -3).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -89778 rounded to the nearest ten thousand?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-10)\/(-2))\/(-5 + 6). What is the second derivative of s + 0*s**p + 3*s**5 + 0*s wrt s?\nAnswer: 60*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 230455 (base 8) to base 3\nAnswer: 10222011112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 3*b = 7*b - 12, -4*b = 5*t - 20 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -5*v - 3*o + 880, -5*o - 721 = -4*v. Let m be 2\/((-2)\/(-3)) + v\/6. Which is greater: 31 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98 = -u - i - i, 4*u = 5*i + 340. Suppose 2*t - u = 898. Let j = t + -303. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 1 + k)*(2*k + 0*k - k) + 4 - 4 + 2*k**2 + 4*k**2 - 5*k**2 + 2*k**2 + (-k + 2 - 2)*(-3*k + 3*k + 2*k))*(37 - 10 - 62)*(9 - 9 - 9*k).\nAnswer: 630*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10147429 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -34 - -47. Suppose -w + 28 = 5*k. Suppose -140 = -k*f - 2*m, -5*m - 22 = f - 86. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 2 - 2)*(2*n + 2 - 2) + (-1 + 4 - 2)*(2*n - 3*n - n))*(-157*n**2 + 387*n**2 - 151*n**2).\nAnswer: 158*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxzzz. What is prob of sequence zzzx?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 0 = 3, 5*i + 2*b = 101. Let r = -34 - -90. What is the remainder when r is divided by i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/14*36\/60*5\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/25 in -4\/7, -3, 16, 3?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43051 is divided by 2530.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together 7.2467 and 10.396.\nAnswer: 17.6427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -343*l + 399*l - 840 for l.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 43 - 253. Let v = i - -298. What is the third derivative of -c**3 - v*c + 88*c + 8*c**2 wrt c?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 86 + 221*s - 84 - 224*s. Let f(o) = -7*o + 3. Calculate 4*f(r) - 7*n(r).\nAnswer: -7*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12*f**4*n**2 - 18*f**2*n**2*q**2 - 5*f*n**2*q**2 - 3*f*n - 5*f*q**2 + n**2*q wrt f?\nAnswer: -144*f**2*n**2 - 36*n**2*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -3*d**5 + 12*d**4 + 612*d**3 - 1878*d**2 + 1887*d - 630 = 0.\nAnswer: -14, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, -2, 13, -24, -219.\nAnswer: -219, -24, -4, -3, -2, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = -d - 83*m + 87*m, 4*d = 3*m + 217. Suppose -2*b + 4*b = 32. Suppose 39 = u - b. Is u != d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.64 times -43425\nAnswer: -158067","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 2*s = -5860 - 582, -2*v - 5*s = -3209. List the prime factors of v.\nAnswer: 2, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 3*g + 2*g**2 - 6*g + 0*g - 2. Suppose -2*y - 7*y + 117 = 0. Suppose y*n + 38 = 155. Let c(i) = -8*i**2 + 12*i + 9. Give n*f(l) + 2*c(l).\nAnswer: 2*l**2 - 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 + 10)*35 - 15\/(-15). Suppose -243 = -17*d + a. Let v = 39 - d. Solve -3*j + 18 = -s, -4*s + v*j - 27 = -j for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c + -11?\nAnswer: -1d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/24)\/(14\/156*(-5574)\/(-130060)).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of 5*d**4\/24 - 78*d**2. Let w(r) = 21*r. Give w(n(m)).\nAnswer: 105*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1405 is divided by 64.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 2*u = -5*u - 10, 0 = -2*q - 2*u + 4 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3 - -10) + -3)\/1. Solve -2*c + 2*l + 2*l = 0, 0 = y*l + 4 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*i**3 - 577 - 8*i**3 + 577.\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 13*o - 89*c - 44 = -84*c, c - 11 - 1 = 2*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4868281 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 5 = 3*n, -5*n - 3*i - i = 3. Suppose 0 = -2*r - 1 + 7. Calculate the remainder when r is divided by n.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 20*q**2. Let b(n) = 59*n**2 + n. Let o = 11 - 3. Let y = -1938 + 1935. Let s(w) = o*v(w) + y*b(w). Find the second derivative of s(m) wrt m.\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 67 - ((22 - 37) + 40 - (28 + 0))\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 113725 or -1?\nAnswer: 113725","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 221105 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**6*z*z\/(z**(-2\/7)\/z*z)*((z*z\/z**1*z*z)\/z)**(-50))**(2\/69) assuming z is positive.\nAnswer: z**(-1270\/483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12c2e6 (base 15) to base 9.\nAnswer: -1624020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of 7\/78*r**4 + 0 - 1\/273*r**7 + 0*r**2 - 2\/39*r**3 + 1\/39*r**6 - 27*r - 9\/130*r**5. What is v in u(v) = 0?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4119637092 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: How many micrometers are there in 778.5106m?\nAnswer: 778510600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*q + 2*q**4 + 43*q - 2*q**3 - 22*q as l*q**2 + g*q**3 + t*q + u*q**4 + f and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 - 6*g**2 + 4*g + 5. Let a be u(-5). Let s = -83\/2 - a. Let h = -26 - -25. What is the closest to h in s, -5, 1\/2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -115.7 + 41.1. Let q = k - -75. Which is the fourth biggest value? (a) q (b) 3\/5 (c) 2\/19 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*c**4*y - c**4 - 681*c**2*g + 21*g*y - 5*y wrt c.\nAnswer: -8*c**3*y - 4*c**3 - 1362*c*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -13*o + 7. Let i(l) = -21*l + 10. Let j(b) = -5*i(b) + 8*x(b). Give j(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 155*f - 12*f**2 - 5*f**2 - 95*f + 14*f**2 - 192 = 0.\nAnswer: 4, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 122 = -2*u. Let v(h) = -h**3 - 33*h**2 - 10*h + 1630. What is the lowest common multiple of u and v(-31)?\nAnswer: 1098","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -4*j - 45. Let r be u(-11). Let q(o) = -9*o**3 - 8*o - 5. Let f(b) = b**3 + b + 1. Let y(w) = -6*f(w) - q(w). Let c be y(1). Sort r, -2, c.\nAnswer: -2, r, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3279189612 to the nearest integer?\nAnswer: 1486","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/20, 3, 2\/5, 0.1 in decreasing order.\nAnswer: 3, 2\/5, 3\/20, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1770579 to the power of 1\/3, to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 171129.\nAnswer: 3, 7, 29, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35, -68, -101?\nAnswer: -134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -5\/3, -3, -7?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -43785 - -62375. Is 45 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19954 and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 387 + -329. Suppose -44 = -60*v + n*v. What is the remainder when 55 is divided by v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 1486593132\nAnswer: 1486593133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 + 5*k**2 + 7*k - 1. Let j be m(6). Let o(u) = 3*u**2 - u + 6. Is 8 a factor of o(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -1*-2*6*(sqrt(5) - (sqrt(20)\/sqrt(4) + sqrt(5))) + 0)**2.\nAnswer: 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*a**2 - 9082 + 27257 - 9096 - 9079 - 6*a**2 - 24*a**2.\nAnswer: -63*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/(5 - -1) + 266\/34. Suppose -32*n - 29*n + 610 = 0. Which is smaller: k or n?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48377*w**2 + 96733*w**2 - 48358*w**2.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 10:04 PM?\nAnswer: 6:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 - 12 = 4*f. Let y = -4 - f. What is the third derivative of -z**4 - 2 + 2 - 6*z**2 + y*z**2 wrt z?\nAnswer: -24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 47335?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 349 + -1108. Let k = n - -271. Let i be (-1)\/3 + k\/(-24). What is the highest common factor of 60 and i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 10 = -k, 4*o - k + 5 = 5*o. Find the third derivative of -o*l**4 - l**3 + 5*l**3 + 6*l**3 - 55*l**2 - 4*l**3 wrt l.\nAnswer: -72*l + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fcccccccccccf. What is prob of sequence fccf?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 19*n**3 - 9*n**2 + 3*n - 69. Let h(t) = t**3 + t**2 - 5. Let b(z) = 6*h(z) - i(z). Find the second derivative of b(u) wrt u.\nAnswer: -78*u + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 243309750 a multiple of 159?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7338 or -7339?\nAnswer: -7338","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 180270652.\nAnswer: 2, 17, 2651039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 - (-17 - -44) - (-30 + 5)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**0)**(1\/15))**(-2\/33)*(q\/(q*q**3)*q**(-5\/2))\/(((q\/((q*q**0*q)\/q))\/q)\/q)**49 assuming q is positive.\nAnswer: q**(185\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2988119 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 2*r - 62. Let k(m) = -137*m. What is k(u(l))?\nAnswer: -274*l + 8494","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 2*n - 1, -2*g - 3 = -3*g. Let t(m) = -m**3 + 12*m**2 + 11*m - 6. Let f be t(12). Suppose -104 = -n*r + f. List the prime factors of r.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 6991?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, 1\/5, 1, 0.4, 1602, 4815 in increasing order.\nAnswer: 1\/5, 0.4, 3\/4, 1, 1602, 4815","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 34*n**2\/5 + 1432602*n\/5 + 101124.\nAnswer: 2*(n + 42135)*(17*n + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1707, -1708, -1711, -1716, -1723, -1732, -1743?\nAnswer: -1756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/12 - (-2)\/4. Let n be (r - (3 - 3))*92. Suppose -97*g = -n*g + 263500. What is g rounded to the nearest one thousand?\nAnswer: -53000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 118741 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/((-3)\/(0 + 1)). Suppose -z + 4 = k. Let v = z + 0. Solve -v*r + 8 = -r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.14 - -0.06. Let t = -0.1619 - 0.2381. Which is the fourth biggest value? (a) f (b) -10\/9 (c) -4 (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/(-3))\/(53\/(-954)). Let c(g) = 3*g**3 + 6*g**2 - 5*g - 11. What are the prime factors of c(j)?\nAnswer: 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 4:54 PM?\nAnswer: 6:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 6101832209?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 201*a*d**2 + d**2 + 310*d wrt a?\nAnswer: 201*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 52 + 69. Calculate the highest common divisor of 11 and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*m = -83*m + 180 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x. Let u(i) = -i + 3. Let s(p) = -2*h(p) - u(p). Let q be s(-6). Suppose -4*d + 31 = -3*z, d + 2*d = q*z + 21. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/f**(-10))**(2\/65)\/(f*f\/(f\/(f**(18\/5)*f*f)*f))**(-2\/11) assuming f is positive.\nAnswer: f**(992\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.05197 + 0.00003. Round x to two dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-1 + (sqrt(128) + sqrt(128) + 2 - sqrt(128)) + (sqrt(128) - (6*(-1*sqrt(128) - sqrt(128)) - sqrt(128) - sqrt(128))))*5)**2.\nAnswer: 38400*sqrt(2) + 4915350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 divided by 6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, -58, -233, -572, -1129, -1958, -3113?\nAnswer: -4648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.1 - 56.1. Which is smaller: -1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -811971.8 take away 24.24?\nAnswer: -811996.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67849856?\nAnswer: 2, 17, 31181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - m + 0)*(-19 + 19 - 52*m) - 2*m**2 + 2*m**2 + 2*m**2)*(m**3 + m**3 - m**3).\nAnswer: 54*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 8:35 PM?\nAnswer: 1:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/20 and 17\/80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -576, -644, -726, -822, -932, -1056?\nAnswer: -1194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from {y: 2, x: 17}.\nAnswer: 136\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from babjrlb. What is prob of sequence jbb?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0*(-1)\/(-3) + 44. Suppose -b - b = -n. What is the greatest common factor of b and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*l - 25*l = 39 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 3:00 AM?\nAnswer: 2:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -708588*p**3 - 11958841620*p**2 - 98426668*p\/3 - 67508\/3 = 0. Calculate p.\nAnswer: -16877, -1\/729","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 120894 a multiple of 172?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -60 by 31.\nAnswer: -60\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 152 and 2546.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 149\/4 - 37. What is the closest to f in -3, 4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 - ((-3 - -2) + -1). Suppose 1057 + 926 = 3*g. Suppose -l*z - 3*t + 523 = 2*t, -5*z + t + g = 0. Calculate the highest common divisor of 12 and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 + 10*w**2 - 6*w - 10. Determine a(-10).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3722, -7445, -11168, -14891?\nAnswer: -18614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-1)\/c**(-16) assuming c is positive.\nAnswer: c**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1568 and 64.\nAnswer: 3136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16191 + -16189. Solve -3\/2*q**5 + p*q - 3\/2*q**3 + 0 - 5*q**4 + 6*q**2 = 0.\nAnswer: -2, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3697702 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -90 or -99?\nAnswer: -99","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.66 take away 560114?\nAnswer: -560123.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 13 = -m + c, -31 = 2*m - 5*c. What is the common denominator of m\/5 + 1 - 1782\/(-120) and 2 + -3 - 5\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u\/(u\/(u\/(u**(-4)*u)))))\/(u**(-6)\/u))\/(u**0*u\/(u\/u**(-1))))\/((u\/u**(-6))\/((u*(u**(-1\/6)\/u)\/u)\/u)*(u*u**(2\/5))**(-1\/3)) assuming u is positive.\nAnswer: u**(-37\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 12) to base 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (60 - (-3 + -29)) + -46?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 61160257 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 929117438 and 6234?\nAnswer: 2078","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 t when three letters picked without replacement from {v: 12, t: 7}.\nAnswer: 84\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, u: 1, l: 3, e: 1, i: 1}. Give prob of picking 1 i and 3 l.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 94296 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -773725546 from -0.05242.\nAnswer: 773725545.94758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 314 + -288. Suppose 4*u + 5*g - l = 0, -u - 9*g + 13*g = 4. Solve 0 = -5*a - 3*q - 7 - 15, a + q = -u for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - 1) + (2 - -61) + -26 + 5 - 6?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 3*(sqrt(3) + 0 + sqrt(3))**2 + (-4*(sqrt(6)\/sqrt(2) + sqrt(3))**2 - sqrt(21)\/(sqrt(35)\/sqrt(5))).\nAnswer: -13 - sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 q when two letters picked without replacement from jqeeijz.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 226 and 2049933?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvwv when four letters picked without replacement from vwwvwwyvyvqqqvyyywqy.\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 691689 by 3.\nAnswer: 230563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, -4, 1, 16 in increasing order.\nAnswer: -18, -4, 1, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 + 14*y + 18. Suppose 47 + 5 = -4*g. Let k be c(g). Suppose -t - k*a - 5 = -13, 5*t - 94 = 2*a. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-24)\/(-42))\/((-50)\/140))\/(-4 - 44\/(-10))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15 + -18. Let z = 1 - h. Solve 1 - z = -3*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 + 9*y**2 - 12*y - 16. Let u be p(-10). Let v = u + -9. Let n(f) = -f**3 + 3*f**2 + 7*f + 2. Does 36 divide n(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 + 24*h + 70. Give r(-21).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -14*b - 20. Let y be j(-2). Calculate the greatest common factor of y and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*x**4\/15 + 8*x**3\/15 - 36*x**2\/5 + 136*x\/15 - 10\/3.\nAnswer: 2*(x - 1)**3*(7*x + 25)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = 2*l - 4*c, -c - 9 = l - 5*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 8:10 AM?\nAnswer: 11:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3855 = -4*o - s + 5040, -2*s + 8894 = 4*o. Suppose -6*u = -2*u - 4*j - o, -u + 544 = -5*j. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115*a - 118 = -2*t - 117*a, 4*t = -2*a + 230. Calculate the highest common divisor of 798 and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*n**5\/2 + 3*n**4 + 33*n**3 + 6*n**2 - 57*n\/2 - 9 = 0 for n.\nAnswer: -2, -1, -1\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.0474 + 0.0474. Let n = 8.79 + 0.21. Let v = -6 + n. Which is the second biggest value? (a) v (b) -0.1 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2523296, -4 in descending order.\nAnswer: 2, -4, -2523296","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 PM and 10:03 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3029 + 154*s**2 + 7*s - 13*s - 3026 - 9048*s**6 + 153*s**2 + 4*s wrt s.\nAnswer: -1085760*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-2))\/((-12)\/(-16)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 11*s**2. Let q(r) = r + 1. Suppose -7*l - 71 = -197. Let u(a) = 9*a + 18. Let x(b) = l*q(b) - u(b). Give x(h(j)).\nAnswer: 99*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 299237.\nAnswer: -299237","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -bd6b + -2?\nAnswer: -bd6d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 26\/3, -23, -5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 13*i + 35. Let p be g(-3). Which is the nearest to 0.01? (a) 4\/7 (b) p (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -46978077\/133 + 353224. Let v = -38\/7 + y. What is the common denominator of 44\/3 and v?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 2*m - 6. Let p = 15 + -11. Suppose -w = 5*o - 4, -p*w - 2*o - 8 = -6*w. Suppose w*x + 2 = -2*n + 8, -n - 25 = -5*x. Calculate q(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14059, -14050, -14041, -14032?\nAnswer: -14023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -132*h - 132*h + 414*h - 138*h.\nAnswer: 12*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -24 + 49. Let y(q) = q**2 + 11*q + 15. Let c be y(-10). Suppose -5*h - a - 17 = -65, -6 = h - c*a. What is the remainder when v is divided by h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(2\/(-3)*1). Let v(y) = y - 3. Let h be v(p). Let k be ((-194)\/(-4) + -52)*1\/(63\/(-4)). Which is the second biggest value? (a) -2 (b) h (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17 - -34. Let l = -12 + d. Let u(j) = -j**2 + j + 1. Let t be u(-1). Which is the third biggest value? (a) l (b) 1\/2 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 2*v - 106, 2*v + 2*c = 36 + 64. Let x = v - -105. Let k(h) = h**3 - 4*h**2 + 10*h. Calculate the remainder when x is divided by k(4).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.9 * -1691.\nAnswer: -1521.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00784721 to five decimal places.\nAnswer: -0.00785","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-18)\/(-8))\/(3\/(-2)))\/6.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 283.47576 to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of -5 + 3\/2*d**2 - 10*d. What is the units digit of i(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1746 - 408.\nAnswer: 1338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -184*t + 108*t = 912 for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5383 + 201376 - 2*p + 18007 + 4*p.\nAnswer: 2*p + 214000","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = -4*t - 9 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 2 - 4)*(23*x - 102*x + 52*x) + 4*x - x - x to k*x + v and give k.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -592 = 23*v - 7*v. What is the common denominator of v and -21\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101101111110000 (base 2) in base 8?\nAnswer: 55760","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -26 - 9197*s**2 + 4560*s**2 + 5202*s**2 + 59*s wrt s.\nAnswer: 1130","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1551?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11601.8l to millilitres.\nAnswer: 11601800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - -7 - 20) + 66 + -28 + -45 + -1.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 869.6425l to millilitres.\nAnswer: 869642.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = -6*d + x - 90, 20 - 25 = d - 3*x for d.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22 - 13. Calculate the highest common factor of 72 and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*w**3 + 174 - 34 + 293 + 133.\nAnswer: -9*w**3 + 566","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 17390, 17387, 17382, 17375?\n\"Answer: -z**2 + 17391","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -70060203\/8 > -8757525?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 23 + 7*o + 30 - 65. Let j(x) = -x**2. Calculate j(g(k)).\nAnswer: -49*k**2 + 168*k - 144","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 413148.6 months in years?\nAnswer: 34429.05","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1633 divided by -23\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 877, 875, 873, 871?\n\"Answer: -2*n + 879","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.6935 + -9.6935. Which is the second smallest value? (a) w (b) 4\/5 (c) 0.179\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 - 10*x**2 + 10*x - 5. Let o be f(9). Differentiate -4*h**o - 2*h**4 + 3 - 10 wrt h.\nAnswer: -24*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 17*o**3 - 549. Let i(t) = -4*t**3 + 137. Give -2*f(k) - 9*i(k).\nAnswer: 2*k**3 - 135","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 14\/15, 0.1, -30, 2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101637 (base 10) to base 9.\nAnswer: -164370","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 746608 is divided by 3218.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 1. Let q(j) = 20*j - 153. Let g(a) = -4*c(a) + q(a). Let l be g(8). Solve -22 = -4*y + l*w, -w + 6*w + 30 = 5*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the second derivative of 3\/80*c**5 + 35*c - 1\/2*c**3 + 0*c**2 + 0 + 0*c**4. Suppose d(m) = 0. Calculate m.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - -2) + (-1)\/2*-10. Let v(z) = 19*z**2 + 43*z - 49. Let s(a) = -3*a**2 - 7*a + 8. Let o(k) = i*v(k) + 39*s(k). Factor o(y).\nAnswer: -3*(y - 1)*(y + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o + 1. Let z(j) = -6*j - 11. What is -2*a(h) - z(h)?\nAnswer: 4*h + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-312)\/(-152) + -2)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/140 and 141\/605290.\nAnswer: 1210580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n**3 - 1933472*n**2 - 233633022160*n + 2803874692800 = 0 for n.\nAnswer: -241690, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 4*d = -14. Let a be -2 + 2 + 4 + -5. What is the smallest common multiple of (-2)\/(a*(-6)\/(-9)) and d?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 5 = w - 3*w, 3*s = -4*w + 5 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1692575439 to the nearest integer?\nAnswer: 1192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-42)\/(-7)*41\/(-3321).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a hour in seconds?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 5*n + n = -28, 3*n - 47 = -4*t for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.83 times 1\nAnswer: 0.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -678.0000347 + 678. Round u to five decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a microgram in nanograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 5755?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0\/((-6)\/2))\/(-1). Suppose -a - a + 112 = n. Suppose -2*s + 4*s = 2*t - a, 5*t = -3*s + 132. Does 11 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 15*s**5 - 69*s**4 - 30*s**3 = 0. What is s?\nAnswer: -2\/5, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 + 5*o - 1. Let v(w) = 2*w**2 + 29*w - 40. Let c(u) = 3*s(u) + v(u). Solve c(m) = 0.\nAnswer: 1, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**3 - 2*c**3 + 0*c**3)*(10*c - 3*c - 89 + 83).\nAnswer: -14*c**4 + 12*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 42 - (6*-5)\/6. Suppose -40*j + 41*j = i. What is the remainder when j is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssrrwsroorsrosw. Give prob of sequence sowr.\nAnswer: 5\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3563ba8 (base 12) to base 3.\nAnswer: -201102222210102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 + 204 = 5*x. Suppose -g = -5, -2*g = -3*i - 4*g + 106. Let m = x - i. Solve h + 13 = m*f, 5*h = 3*f - 2*f - 29 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -297, 3, 858 in ascending order.\nAnswer: -297, -1, 3, 858","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 AM and 6:59 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/102 and 37\/238.\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -4*w**4 - 34440*w**3 - 74440736*w**2 - 1325779968*w + 6496376832 = 0.\nAnswer: -4296, -22, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 68 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rcacxrcarrckakaarkkc. Give prob of sequence kkk.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -20*i**2 - 12. Let p(r) = 7*r - r**2 - 4 + r - r. Let a be p(5). Let z(s) = -7*s**2 - 4. Let t(b) = a*n(b) - 17*z(b). Differentiate t(v) wrt v.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2385 and 2794.7?\nAnswer: -6665359.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*o**2\/11 + 46*o\/11 = 0. Calculate o.\nAnswer: 0, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.018 (b) 4 (c) -48 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 4, -3075, -5, 2\/7, 5, 0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23 + -15. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1735756 and 35123?\nAnswer: 1133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (-22 + 17 - (11 + -13 + -9 + 5))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -20*v**2. Let k(p) = -6 - 3 + 7. Let r(f) = -f + 3. Let s(a) = -3*k(a) - 2*r(a). Give s(i(j)).\nAnswer: -40*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.042 + 0.158. What is the smallest value in j, 0.3, -115, -0.1?\nAnswer: -115","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 183004681 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5285\/(-604) + (1 + 0 - (-3)\/(-12)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.3 less than -0.34181?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1701, 5395, 11115, 18861, 28633?\n\"Answer: 1013*x**2 + 655*x + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 6*c = 1760. What are the prime factors of c?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from {s: 4, g: 3, r: 3, u: 1}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21300 and 31524?\nAnswer: 852","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 560454 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-18)\/(-4)*(-4)\/(-6). Let z be (-3)\/(9\/(-12)) - 0. Suppose -f + h*f - z = 0. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times 53464?\nAnswer: 16039.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -6*v - 5. Suppose -6*k + 4 = -20. Let y(d) = -d**3 + 2*d**2 + 8*d - 5. Let u be y(k). Let f(z) = 7*z + 6. Give u*f(s) - 6*p(s).\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -1. Suppose -2*r = -4*r - 6. Let z = r + 0. Which is the second smallest value? (a) k (b) z (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 1)*(12*n**3 + 2*n**3 - 4*n**3)*(-23 + 2 + 1) - 3*n + 7*n - n**3 - 2 - 2*n.\nAnswer: 199*n**3 + 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3163 (base 10) to base 7.\nAnswer: 12136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/5 - (-22)\/(-5). Let k = l - -6. Put 6, k, 0 in decreasing order.\nAnswer: 6, k, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 5 = 5*u. Put u, -3, -4 in decreasing order.\nAnswer: u, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7575020 + 7575020 - f.\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4782 + 213*d - 4782.\nAnswer: 213*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**2 - 2*u**2 - 2*u**2)*(-3 + 0 + 0 + (4 - 1 - 1)*(2 - 2 + 2)).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 - 17. What is the nearest to -0.1 in 0.4, 3, t?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -119 - -33. Let h = -86.00074 - j. Round h to three decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1.2 (b) -0.11 (c) 4 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 144614289 to the power of 1\/3, to the nearest integer?\nAnswer: 525","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1312*w - 107.\nAnswer: 1312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 + t + 50. What is the remainder when p(0) is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1155 and 495?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (7\/(-525)*-5)\/((-2)\/(-12)). Are -9 and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2590 divided by -6\nAnswer: 1295\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.06*-0.032\nAnswer: 0.00192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13646.\nAnswer: 2, 6823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -30 - -43. Suppose 0 = -b - 0*a + 3*a + 19, -5*a = b + z. Find the third derivative of 4*k**5 - b*k**2 + 2 + 9*k**2 - 2 wrt k.\nAnswer: 240*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 at most as big as -174?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*y + 1528 = 601 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -25.1 - -24. Let m = r - -1.3. Which is the closest to -0.2? (a) 5 (b) m (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = i - z, i + 3*i = z - 46. Suppose -2*y + 3*n = -198 + 2597, -3*y - 5*n = 3570. Is (y\/20)\/(-1*(-1)\/i) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-36) - (-185)\/(-45). Is 3 a factor of p\/7 + 30*(-20)\/(-21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 - 8*i**2 + 12*i - 3. List the prime factors of b(11).\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 43\/2 of a litre?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/3 (b) -0.4 (c) 5 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 8005080*n + 6. Let a(o) = -2*o. Give v(a(c)).\nAnswer: -16010160*c + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.05 - 4.05. Let q be (7 - (-14 - 5 - -28))*(-1)\/(-4). Sort q, g, -2\/13 in descending order.\nAnswer: -2\/13, q, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*((g\/g**(1\/4))\/g)\/g)**(-24)*g**(13\/3)*g\/g**1 assuming g is positive.\nAnswer: g**(31\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(1584)*2.\nAnswer: -48*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 - 8*h - 9. Let l be i(-2). What is the third smallest value in -4, l, -0.3, -2\/17?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 37, 1, -4, 1\/6, -1426?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gjwg when four letters picked without replacement from {d: 2, v: 5, g: 4, j: 2, w: 1}?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of -a**6\/20 - a**4\/24 - a**3\/6 - 2*a**2. Let l = 8 - 10. What is the remainder when k(l) is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -2118*i**3 - 4*i - 3. What is the units digit of h(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 + 12*j + 14. Let n be y(-11). Suppose 0 = r - 2 - n. Calculate the greatest common divisor of 45 and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y**3\/7 + 5790410*y**2\/7 - 1930136*y\/7 = 0. What is y?\nAnswer: 0, 1\/3, 965068","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3e - 1?\nAnswer: 3d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (136 - 104) + -71 + 9.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 2*l + 3*l. Let p be (-44)\/(-10) - l\/10. Solve 5*j = -11 - p for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of -k**4\/8 + k**3\/3 + 9*k**2. Let f(j) = 4*j - 2. Let m(r) = 2*f(r) + 3*n(r). Let q(x) = 2*x - 5. Determine -9*m(t) - 4*q(t).\nAnswer: t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3853, 3849, 3845?\nAnswer: 3841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -2*b + 3. Let n be k(-3). Solve -v + n = -4*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 4*k + 27. Let w be a(-6). Factor 0*n**w - 3\/4*n**2 + 1\/4*n**4 + 1\/2*n + 0.\nAnswer: n*(n - 1)**2*(n + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -51322 + 106797. What is the ten thousands digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 - 4*o**2 + 5*o - 6. Let q be j(4). Let f be 1\/(-12)*-6*(107 + 5). What is the highest common factor of q and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (24\/9)\/(14\/21). Suppose 0 = -3*f - y, -y - g*y + 16 = -f. What is the closest to -1 in f, -0.1, 0.5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -899221 or -42?\nAnswer: -899221","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -8, -7, 5, -3 in ascending order.\nAnswer: -8, -7, -4, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/8 (b) 12 (c) 0.4 (d) 4 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 73955 to the power of 1\/3, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 668 or 677?\nAnswer: 668","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4122 is divided by 1342?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - n = -11, n + 4*n + 13 = 2*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -51 + 54 + -37 + 35\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*g*q**6 - 10536457*g*q**3 + 5293*g*q**2 + 23*g*q + g + 6*q**2 + 2*q wrt q.\nAnswer: -240*g*q**3 - 63218742*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -27 + 23. Let q be ((-2)\/z)\/(4\/(-16)). Let k(l) = l**3 - l**2 - l + 1. Calculate k(q).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31693 is divided by 106.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -26*g**3 - 25*g**2 + 7*g. Let a(q) = 9*q**3 + 8*q**2 - 2*q. Let i(f) = -7*a(f) - 2*m(f). Find the third derivative of i(x) wrt x.\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -7\/4, 1\/5, 5, -12 in ascending order.\nAnswer: -12, -7\/4, -0.5, 1\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = h. Suppose -3*l - 4*d = -0*d - 6, 2*d = h. Solve 0*t + 4 = -l*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77999243 is divided by 375?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 26 (b) 4 (c) -3\/4 (d) -0.04 (e) 8.1 (f) 2\/23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of l**6\/36 - l**4\/8 - l**3\/9 + 17. Factor w(d).\nAnswer: d**2*(d - 2)*(d + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*n - 2)*(0*n**3 + n**3 - 4*n**3 + (-n**3 + 0*n**3 - n**3)*(-6 + 4 + 4) + 2*n**3 - n**3 + 0*n**3).\nAnswer: 12*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 502*x = 510*x - 40. Solve -2*v = -x*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(170) + 2*-2*sqrt(170) + sqrt(170) + sqrt(170) - sqrt(170)) + sqrt(170)*-1*-1 + sqrt(170))\/(sqrt(160)*2 - sqrt(90)*3)*-6 + -4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19.5 - 20. Which is the third smallest value? (a) k (b) 0.13 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d - d - d)*((-10 + 19 + 11)*(-1 - 3 + 2) - 2 + 5 - 1)*(-2*d**3 + 3*d - 3*d).\nAnswer: -152*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-73)\/(-4) - 10\/40. Let w be (-2)\/3 + s\/27. Let m = 0.1 - 0.1. Which is the nearest to m? (a) -4 (b) w (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccecdcexc. What is prob of sequence ce?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -5*y - 16. Let z be q(-4). Suppose 2*d + 0*d - 248 = -z*c, -396 = -3*d + 2*c. Does 13 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 10:18 AM?\nAnswer: 12:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 171487270 to the nearest integer?\nAnswer: 556","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = w + 3*h, 4*w + 0*w + 96 = -4*h. Let l = w - -19. Suppose -2*r - 2*u + 37208 = 2*u, l = -4*r + 4*u + 74392. Round r to the nearest one thousand.\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1453426397 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -10932467 + 5.9\nAnswer: -10932461.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.2440372 decades?\nAnswer: 29.284464","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -205*x**3 + 19438*x**2 - 38261*x + 19028.\nAnswer: -(x - 1)**2*(205*x - 19028)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -22 (base 16) to base 7\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1030*((-5)\/(-2) + -3). Let p = k - 357. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2*-84)\/(2\/18*-3). Find the common denominator of -55\/6 and 2*(-86)\/4*(-48)\/v.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 + 28. Let r = -905 + 912. Calculate the highest common divisor of r and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/10 - (-46)\/10. Suppose 4*q - 17 = -4*k - 1, -2*k = 5*q - 8. Solve -k*i = w - 17 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.6 - -0.4. Let x = 0.07 + -0.09. Let j = -0.98 + x. What is the nearest to j in -2\/13, 3\/7, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.0631 - 0.0631. Sort c, -5, 7\/5 in decreasing order.\nAnswer: c, 7\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -2*c**3 - 228*c**2 - 456*c - 957. Give o(-112).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 1 = -5*t, 0 = -2*t - t - 2*a + 12 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 3.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15913817 is divided by 936106.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19 is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.58393 - 0.08393. What is the second smallest value in r, 3, -0.8, 3\/5, 2\/3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q - 2. Let s(h) = h**2 - 7*h - 8. Let x be s(8). Let l be (-2)\/((x - -1)\/(-3)). Is u(l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 + 8*z**2 - 11*z - 2. What is y(-10)?\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 27*g**3 - 12*g + g + 13*g + 2 + g**2 as z*g**2 + t*g + n + u*g**3 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 2*b - 327 = 0, 2*v = -b - 33 + 251. What is the remainder when 2179 is divided by v?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -350.6 or -9?\nAnswer: -350.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 0.1, 3\/59?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 55725 and 285.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 1024 divide 106967221?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {o: 10, p: 9}.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 27216\/59 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 171233 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22 and 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 y when three letters picked without replacement from {z: 2, m: 10, n: 4, y: 3}?\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 571\/11096 - -112840609\/16644. Let u = r + -6783. Let x = -36917 + 1107631\/30. Find the common denominator of x and u.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 626125401?\nAnswer: 3, 11, 1997, 3167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -401 - -11203023?\nAnswer: 11202122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16261*v - 5111*v + 1856*v to k + z*v and give z.\nAnswer: -19516","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 196897152?\nAnswer: 2, 3, 19, 26987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (330\/385)\/(0 + (-18)\/(-42)). Factor 2\/3 - 10\/3*s**a - 8\/3*s.\nAnswer: -2*(s + 1)*(5*s - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65351?\nAnswer: 11, 13, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40797894?\nAnswer: 2, 3, 337, 20177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yitppgijg. Give prob of picking 2 p and 1 i.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -7*i**2 - 371*i - 677. What is z(-51)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2)*(-3*m + 6*m - 5*m)*(0*m - 2*m + m)*(14 - 14 + 6*m + (0 + 1 - 2)*(0 + m + 0)).\nAnswer: 20*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3303590 - -663590. Round m to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide (-36 - (-9 + -29)) + 1 + 8347?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + -4 + (-2 + 9 - -3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 363455 and 4630.\nAnswer: 726910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1015659*q - 2126*q**3 + 1015659*q + 3*q**2.\nAnswer: -2126*q**3 + 3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 - 17*u**2 - u - 5. Let w be q(-17). Solve 3 = 3*y - w for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + 64e72c?\nAnswer: 64e728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m + 4. Let t(u) be the second derivative of -u**3\/6 - 22*u. Give s(t(p)).\nAnswer: p + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1757568887 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ciiqcccxc. What is prob of sequence icq?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.01? (a) 0 (b) 2246 (c) 23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 2*w + 1. Let g(q) be the first derivative of -3*q**2\/2 - 397. What is -3*g(v) - 2*s(v)?\nAnswer: 5*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*i + 1966 = 2*d - 27*i, 0 = -3*d - i + 2954. Calculate the highest common factor of 24 and d.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 + b + 11. Let y(r) = -r**2 + 5*r. Let d = 2 + 3. Let p be y(d). Is c(p) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 7, 4, -3, 13, 8 in increasing order.\nAnswer: -3, -1, 4, 7, 8, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-1 + -3*(sqrt(68)*-2 - sqrt(68)) + (sqrt(68) + -1*(1 + sqrt(68)) - sqrt(68)) + -4).\nAnswer: -48*sqrt(17) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2*d - 75. Let p be x(39). Solve n + 4 = p for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(9\/11)\/j**6 assuming j is positive.\nAnswer: j**(-57\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54365513.\nAnswer: 54365513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - 0. Let f = 0.9 - 1. Let k = 6.8 - 7. Which is the closest to 0? (a) q (b) k (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*b + 24346 = -40*b. Let h = -2438 + b. Is h a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -62 + 308\/5. Let o = -878 + 551. Let v = o - -332. What is the second smallest value in b, 0.1, v, -1.1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*b - 2*b - m + 3, 0 = 2*b - 2*m - 6. Suppose -5*o + 142 = -0*o + b*k, -5*o + k + 139 = 0. What is the remainder when o is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23 - -25. Suppose 0 = -r + 4*r - 15. Suppose i - 25 = -r*l + 3*i, 5*l - 5*i - 25 = 0. Calculate the remainder when l is divided by o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eobooetoboqoeobe. Give prob of picking 1 o and 2 e.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 88 and 105\/(-30)*(-128)\/7?\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -53 < -621?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -542*q**3 + 127*q**2 - 441*q - 55?\nAnswer: -3252*q + 254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -7\/4, 1, 0.1, 6, -1\/4 in decreasing order.\nAnswer: 6, 1, 0.1, -0.1, -1\/4, -7\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 3*z**3 + 69*z - 8. Let g(b) = 18*b**3 + 414*b - 51. Give -2*g(i) + 13*s(i).\nAnswer: 3*i**3 + 69*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 AM and 9:30 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 14*n - 17. Calculate s(6).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/(-2))\/(29\/20). Let b = 262\/87 + s. Let 0*k + b*k**4 + 10\/3*k**3 + 2\/3*k**2 + 0 = 0. What is k?\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -3*o**2 + 4*o - 7. Suppose 3*k = 3*a - 24, 0 = 7*a - 6*a - 2*k - 12. Let r(u) = 8 - 3*u - a + 2*u**2 + 2. What is -4*l(c) - 5*r(c)?\nAnswer: 2*c**2 - c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 256 = 2*j. Calculate the smallest common multiple of 6 and 10\/(-25) + j\/10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2098 and -10487\/5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -4*r - 17. Let q be d(-4). Let y(c) = -c. Let l(i) = 2*i**2 + 4*i. Suppose x = -2*x - 6. Let v(f) = q*l(f) + x*y(f). Factor v(s).\nAnswer: -2*s*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9205 - 9205 + 2600*u.\nAnswer: 2600*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -166*a**2 - 3*a - 15. Let m(g) = 55*g**2 + g + 5. Calculate -11*m(p) - 4*z(p).\nAnswer: 59*p**2 + p + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (7 - 4) + 3*-1. Suppose 0 = -0*a + 2*a - 16. Suppose l - a = -2*f, q*l = -2*l + 4*f. Solve v = -0*v - l for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00051312681 to 7 decimal places.\nAnswer: -0.0005131","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 5*o + 462 = 0. What is the second derivative of -231*t**3 + 4*t + o*t**3 + 8*t**4 wrt t?\nAnswer: 96*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-1)*(-147 + 144).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 2 s when four letters picked without replacement from {n: 5, s: 3, k: 8}.\nAnswer: 3\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.007 - 2.007. Sort g, -2\/9, 2\/13, 1\/6 in ascending order.\nAnswer: g, -2\/9, 2\/13, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**2 + 39432*o + 157792.\nAnswer: -4*(o - 9862)*(o + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 14 and 2063004.8.\nAnswer: 28882067.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = -2*w + 12, 348*r = 352*r - 8*w - 16 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 276422 by 1.\nAnswer: 276422","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-7812)\/2821)\/(5\/(-26)*(-6)\/(-10))\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 890 divided by 445.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 3*s - 6 = 0, 2*s - 7 + 3 = -4*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x = -11*x + 4*q + 47, 0 = 3*x + 4*q + 55 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 159440376.\nAnswer: 2, 3, 29, 229081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11)\/11)\/((-1)\/(-5))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 + 28*l + 16. Calculate s(-47).\nAnswer: 909","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, i: 1, q: 2}. What is prob of picking 1 i and 1 t?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 + 105*l + 1904. Calculate z(-15).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-2 - -2) + -2 - 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*d = -d - 40 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o - 19. Let w be i(22). Let s(x) = -x**3 + 5*x**2 + x - 3. Determine s(w).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h and 1 z when four letters picked without replacement from hchzh?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2095.0516 rounded to 0 decimal places?\nAnswer: -2095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 36 - 56 = 0. Suppose j + 2 - 4 = r*d, 3*j = -4*d + 44. Suppose 0 = -7*y + j*y. Solve -4*m - 12 = -y for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 24*q**2 - 2*q + 6. What is the least common multiple of v(2) and 2?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 718*v**2 + 742*v wrt v?\nAnswer: 1436","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -75710200 rounded to the nearest 1000000?\nAnswer: -76000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/5 less than -129?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 65124563627 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, 15, 3, -18533, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: 9b4a1 (base 12) to base 6\nAnswer: 4231121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 129740 and 34930?\nAnswer: 908180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - 1. Let j be 0 + z - 4\/2. Is (2\/4)\/(j\/(-30)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*n + 39*n - 117*n + 21*n + 27*n.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -3*i**2 + 2*i - 1. Let l be z(1). Let m be -2 + 3 - (-6 - l). Suppose 0*d + 70 = m*d. Calculate the smallest common multiple of d and 20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/30*5)\/(2\/4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = -12*f + 13*f - j, f = -4*j + 24. What is the greatest common divisor of f and 3370?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16550294 is divided by 58.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of 7*g**3 - 7*g**2\/2 - g + 23. What is the units digit of p(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = -3*v - 5*r, -6*v - 2*r + 66 = -3*v. Suppose -k + 7*s - v = 10*s, 0 = 2*k + s + 19. Let b(a) = a**3 + 7*a**2 - 4*a - 4. Determine b(k).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -3*h + 12. Let n be u(5). What is the second smallest value in -1\/6, 0, n?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -237, -231, -203, -141, -33?\n\"Answer: 2*z**3 - z**2 - 5*z - 233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 22378698 to the power of 1\/2, to the nearest integer?\nAnswer: 4731","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.783 + -1.64. Let t = 0.043 - x. Let q be 4\/(-14) + (-52)\/14. Sort t, -1, -0.4, q in ascending order.\nAnswer: q, -1, -0.4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 779, 1724, 2657, 3572, 4463, 5324, 6149, 6932?\nAnswer: 7667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o**(-8)*o*o))**(4\/19))**(-2\/81) assuming o is positive.\nAnswer: o**(-56\/1539)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 547471 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5101 - -2?\nAnswer: 5103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -154201042443 + -2?\nAnswer: -154201042445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4334?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 210\/(-69) + (-20 - -23). What is the second smallest value in -1\/19, -1\/8, k?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 293 = -5*j + 2*u + 1008, 4*j - 555 = 5*u. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 155010 and 300?\nAnswer: 1550100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4142306173?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 AM and 1:27 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30880 is divided by 1286?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-2)\/(448\/(-21))*412\/(-27) and -31\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 18 = -4*q, 7 = -2*h + 5*q - 14. Let r = 0.927 + 0.053. Let z = r + 0.02. Which is the second biggest value? (a) z (b) h (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3098 - 3085. Let u(y) = 5*y**3 - 2*y**2. Let q be u(3). Calculate the highest common factor of q and z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of 16\/225*v**6 + 0*v**2 + 0 + 1\/90*v**4 + 0*v**3 + 9*v + 4\/75*v**5. Find f such that x(f) = 0.\nAnswer: -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6490 by 118.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12414 is divided by 31.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -26 + 46. Let s(x) = -3*x**2 + 2*x + a*x**2 - 6*x - 3 + x. Is s(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 8\/11 (b) 4 (c) -5 (d) -1\/7 (e) -1 (f) -1.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 10 = 2. Let c(a) = a**2 - 2 + 4 + a + 0 - p. Let y(k) = -6*k**2 - 3*k + 3. Let o(g) = 3*c(g) + y(g). Let h(s) = -s**2. Determine h(o(b)).\nAnswer: -9*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1 and -350.9?\nAnswer: 349.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of 35246021759 and 0.271.\nAnswer: 35246021759.271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 85179\/4 + -21294. Which is the second smallest value? (a) -0.4 (b) 1\/3 (c) g (d) -0.5 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-61 + 25 - -73).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144 = -13*a + 51. Suppose a*u - 26870 = -4460. List the prime factors of u.\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 201?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -0.46.\nAnswer: -0.138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 0.3 (b) 334262 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of -t**5\/20 + t**2\/2 + t - 63. Let a(i) = 7*i**3 - 6. Let g(n) = n**2 - n - 57. Let c be g(-7). Give c*a(l) - 6*d(l).\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-13 - 460\/(-36)) + (-24)\/(-27). What is the nearest to a in 19, 0, 1, 0.01?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 203*f**3*w**3 - 3*f**3*w**2 - f**3*w + 11*f**3 + 51*f**2*w**2 - 2143*f*w**5 + 17*f*w**2 wrt w?\nAnswer: 1218*f**3 - 128580*f*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 415579 and 38?\nAnswer: 15792002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 164 divide 94300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + m + 15 = -4*m, l - 2*m = 13. Suppose -250 = -5*f - l*o, 2*o - 259 = -7*f + 2*f. Calculate the remainder when f is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 181*i + 5246 + 7999 + 11753 - 744 for i.\nAnswer: -134","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 0.7 (b) -0.4 (c) -0.004 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) 10 (c) 1.3 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -162a7 (base 14) in base 9?\nAnswer: -84016","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 670 <= 110?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 73 - 67. Put -2, 5, l in ascending order.\nAnswer: -2, 5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.04, 0.5, -2, -2\/15 in increasing order.\nAnswer: -2, -2\/15, 0.04, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of 47*n**4\/12 - 17*n**3\/3 + 3*n - 7. Find the second derivative of w(k) wrt k.\nAnswer: 94","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2736\/44 - (175\/55 + -3). Let j = -57 + s. Suppose 228 = j*m + 3. What are the prime factors of m?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 AM and 7:42 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -117\/20 and -143\/72.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 141, -16, -5 in decreasing order.\nAnswer: 141, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of -k**6\/120 - 3*k**5\/20 + 3*k**4\/8 - k**3\/6 - 4*k**2. Let l be w(-10). Calculate the greatest common divisor of l and 99.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-1) - (-14 + 14))\/6.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 311, -1630, -2 in decreasing order.\nAnswer: 311, 5, -2, -1630","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1421*l + 1472*l = 54985701. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the second derivative of -n**5\/20 - n**4\/6 + 2*n**3\/3 + 3*n**2 + 3*n + 218. Calculate j(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 4*g. Let i(j) = -j**2 - 7*j. Let l(z) = z**2 + 4*z. Let x(f) = -4*i(f) - 7*l(f). Determine p(x(k)).\nAnswer: -12*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2277 = -42*a + 4377 + 336 for a.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -25*r**3 - 24*r - 60120725*r**2 + 60120919*r**2 + 1 - 15 wrt r?\nAnswer: -150*r + 388","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 1232332?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 6*k + 4*k + k)*(2 + 1 + 1)*(k - 3*k**2 - k)*(18*k + 165 - 165).\nAnswer: 216*k**4 + 1296*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -661959 rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2765.\nAnswer: 5, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -411 + -4?\nAnswer: -415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 68320573187 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v**2\/9 - 436676*v\/3 - 23835741122 = 0. Calculate v.\nAnswer: -327507","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d + 1. Let q be m(1). Suppose q*s = 4*y - 2, s + 3*y - 1 = 13. What are the prime factors of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 2:29 PM?\nAnswer: 9:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -7*j**2 + j. Let y be ((-2)\/(-3))\/((-22)\/(-33)). Let k be ((-51)\/17)\/(-1*y). Let s(h) = -h**3 + 3*h**2 - 1. Let v be s(k). Give r(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.00005 + 3. Round w to five dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1165104587\/1065 + -1093995. What is the common denominator of q and 63\/6035?\nAnswer: 18105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, j: 2, p: 4, g: 5}. Give prob of picking 1 j and 1 p.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 367*b + 418*b - 954*b.\nAnswer: -169*b - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -13506730 divided by -4343\nAnswer: 3110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.0228 or 25.719?\nAnswer: -0.0228","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 121615282991 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t - 6. Suppose -24 = -0*q - 3*q. Let o be k(q). Suppose 6*i = o*i + 8. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -4\/51372187?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 253597, 253603, 253609, 253615, 253621?\nAnswer: 253627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 537048.9 centimeters?\nAnswer: 5370489000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 41177 - 40813. Let v = 28 - 15. What is the greatest common divisor of f and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8720723 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*b - 31*b - 17*b - 3409*b**2 + 86*b.\nAnswer: -3409*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 25 = 5*r, -2*r - 21 = 2*r - 5*x for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s**5\/5 + 489*s**4\/5 + 30537*s**3\/5 + 172863*s**2\/5 - 275304*s\/5 + 71424\/5 = 0. What is s?\nAnswer: -32, -8, 1\/3, 1, 93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5240 or 2305879\/440?\nAnswer: 5240","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11.3 + 0.3. Let r = j - -11.035. What is r rounded to two dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2)*(-i - i + 3*i)*(-4 + 7 - 2).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2*d**3 + 18*d**2 + 3. Let o be t(-9). Solve 0 = -9*h + o*h - 30 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 0.22, -2\/9, 2 in decreasing order.\nAnswer: 2, 0.22, 0.1, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -364\nAnswer: -1\/182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 136 and 289?\nAnswer: 2312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 + 5*o**2 + 2*o + 12. Let k be v(-4). Suppose 3*g + 19*q = k*q + 6, 4*q + 3 = 5*g. Solve 0 = -g*r - 6, -13 = -2*l + 5*l - r for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(2\/11)*r**2)\/((r\/((r*r**(-7))\/r))\/r**(-5)))\/((r\/r**6)\/(r*r*r*r*(r*r**(-8))\/r*r))**(-1\/11) assuming r is positive.\nAnswer: r**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 2:43 AM?\nAnswer: 7:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 735994427 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 3*u**2 - 7*u + 5. Let l(d) = -6*d**2 + 14*d - 12. What is 7*c(s) + 3*l(s)?\nAnswer: 3*s**2 - 7*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 + 15*t**2 - 16*t - 17. Let o(h) = -3*h**3 + 44*h**2 - 47*h - 50. Let w(s) = -7*l(s) + 2*o(s). What are the prime factors of w(16)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1))**(2\/55) assuming c is positive.\nAnswer: c**(-2\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 434 and 6?\nAnswer: 1302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -7*p - 102. Determine s(80).\nAnswer: -662","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 - 22*c**2 - 25*c - 24. Let x be r(-21). Calculate the greatest common divisor of 24 and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 189700 and 41300?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11896818*o*q**3 + 1149*q**3 - 221*q**2 + 3 with respect to o.\nAnswer: 11896818*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1110 (base 3) to base 13.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 862777156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do -100 and -102 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i + 5*i - 2*i + (-3*i - 1 + 1)*(-3 + 3 - 3).\nAnswer: 10*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 0*j + j = 0. Let c(v) = -13*v + 140. Does 14 divide c(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 6*v**2 + 125*v - 3127. Calculate w(-36).\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2*10\/4 + 1. Let r(x) = x**2 - x. Let a(h) = h**3 - 12*h**2 + 4*h + 5. Let i(t) = -a(t) - 6*r(t). Let b be i(j). Which is smaller: 8 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*z = -7*b - 24, 0*b + 4 = -z + 3*b for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2050?\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112 (base 3) to base 5.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-9)\/(-10))\/((-5)\/10). Which is the second smallest value? (a) -5 (b) s (c) -0.5 (d) 31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 325*c**2. Let a(o) = -3*o. Calculate a(t(w)).\nAnswer: -975*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 2*u = 16, -2*u - 28 = -2*x. Suppose -4 = r, -6*v = -10*v - 5*r + 548. What is the remainder when v is divided by x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10)\/4*((-24)\/(-20) + -2). Suppose -3*k + 6963 = w*o + 2*o, k + 3 = 0. What is o rounded to the nearest 100?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1819, -1575, -1331, -1087?\n\"Answer: 244*t - 2063","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 219*v - 19884. Give h(89).\nAnswer: -393","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2\/2 + 23*v - 45\/2.\nAnswer: -(v - 45)*(v - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qcc when three letters picked without replacement from {c: 3, q: 3, o: 1}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -29*w**2 + 11*w + 6. Let t(q) = -59*q**2 + 24*q + 13. Give -13*i(c) + 6*t(c).\nAnswer: 23*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54635950 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10.68255 weeks to microseconds.\nAnswer: 6460806240000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 1 = 3*z. Let o(b) = 339*b**3 + b**2. Let a be o(z). Suppose -a = -2*y + y. Round y to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -82 + 146. Let w(d) = 3*d - 7. Let n be w(5). What is the highest common factor of q and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*r + 420 = 10*r + 25*r for r.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 + 4*i + 7. Calculate h(-6).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(30)\/(-4*(sqrt(90) + sqrt(10))).\nAnswer: -3 - sqrt(3)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 53777\nAnswer: 4\/53777","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*j - 0*j + 3*v, -2*j = -v - 9. Let d be j\/(-10)*(-5)\/(-8). Which is the nearest to -0.1? (a) 0 (b) 3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 1242?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 412 - 240. Suppose -t + 40 = -4*q. List the prime factors of q.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20 - 23. Sort 1\/11, 2\/13, a in descending order.\nAnswer: 2\/13, 1\/11, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/2216 and 70\/831?\nAnswer: 6648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -236, -471, -704, -935, -1164?\n\"Answer: m**2 - 238*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-3)\/(-5)*(-10)\/30.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, m: 2, l: 5, d: 6, x: 5, v: 1}. Give prob of sequence wxml.\nAnswer: 5\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 9 = -d. Let l(k) = k - 4. Let n be l(d). Solve -3*a = 3*o - 7*a + 21, 2*a - 21 = n*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 12*b - 26*b + 14*b + 43*b**2 + 0*b. Let h(q) = 3 - 161*q**2 - 3 + 158*q**2. Calculate v(h(y)).\nAnswer: 387*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1737271, 3474500, 5211687, 6948832?\n\"Answer: -21*c**2 + 1737292*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 48576 + -1?\nAnswer: 48575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -1 - 3. Suppose m - 5 = -a. Solve -m*g = -g + 3 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2566153?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-80)\/9)\/(-4) - (1 - -1)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 13*d + 55. Let z(h) = -11*h - 53. Determine 2*g(p) + 3*z(p).\nAnswer: -7*p - 49","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22802.\nAnswer: 2, 13, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 + 50*p**2 + p - 4915. Give y(-48).\nAnswer: -355","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1802 is divided by 1233?\nAnswer: 569","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 + 131*j - 254*j + 129*j.\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wf when two letters picked without replacement from {d: 1, g: 2, w: 3, f: 9, b: 2}?\nAnswer: 27\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1328, -2913, -4498?\nAnswer: -6083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*78\/(-72)*3?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjsssjjsjr. What is prob of picking 1 s and 1 j?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.046 + -11.346. Let k = -98 + 74.5. Let u = k - p. What is u rounded to 0 decimal places?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 9*v**2 + v**3 - 1 - 2*v + 6 - 3*v**2. What are the prime factors of r(-6)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -58861 divided by -11\nAnswer: 5351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 90.9 - 91. What is the nearest to -1 in -5, s, 4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2372477?\nAnswer: 37, 1733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 638 greater than 214001?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1113906*3\nAnswer: 3341718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-9) - ((-420)\/(-54) - 6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5111 + 5106. Let t = 0.4 + -0.7. Let p = t - -0.2. Which is the third smallest value? (a) -2 (b) p (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34 + 494*b**2 + 34 - 103*b**2.\nAnswer: 391*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q + 64 = -46. Let f(h) = -5*h - 16. Let l be f(q). What is the highest common factor of 13 and l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 516852053 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 547.2784 days to microseconds.\nAnswer: 47284853760000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 = -3*f - 0*f. Suppose 0 = n + 2*k + k - 21, -f = -5*k. Let u(d) = -3*d - 3. Let v be u(-2). Solve 0 = p + v - n for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1428*n**2 - 1428*n**2 - 10*n**3 + 3 - 3.\nAnswer: -10*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 0.2 (b) -3 (c) 1\/8 (d) -2\/7 (e) -1 (f) -3857\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(-1) + ((-1212)\/(-48) - 26)\/((-135)\/(-1272))?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-5) - 148\/(-5). Let h be -6*(-5)\/(k\/52). Suppose 4*y - 332 = -h. Round y to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 860 and 44?\nAnswer: 9460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -4*o + 292, -36 + 262 = 3*o - z. Let y = o - 83. Let q be (-97)\/y - 4\/(-18). What is the greatest common divisor of 11 and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 5:47 AM?\nAnswer: 7:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2\/7 - 549408*c\/7 - 549406\/7.\nAnswer: -2*(c + 1)*(c + 274703)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 43*q + 36*q = -3, -5*n + 3*q = 37 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -42325551 (base 6) in base 16?\nAnswer: -12eccb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 + 17 = 7*i. Solve 5*y = -i - 10 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 - 11. Let x = 372 - 178. Let u = 196 - x. Put u, 3, a in ascending order.\nAnswer: a, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 140 - 136. Solve -4*t - x*l = t + 36, 3*t - 5*l - 8 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13370*i**5 + 85*i**2 + 15164*i - 170?\nAnswer: -267400*i**3 + 170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -831*y - 20 = -835*y. Let i(t) = -16*t**2 + 7*t - 5. Let z(n) = 15*n**2 - 6*n + 4. What is y*i(a) + 6*z(a)?\nAnswer: 10*a**2 - a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4440053049 to the nearest integer?\nAnswer: 66634","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*g**3*p*y**2 + 4*g**3*y - g**2*p**2*y + 37*g**2*y - 86*g*p**2*y**2 wrt y.\nAnswer: -12*g**3*p - 172*g*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m**3 - 5*m**3 + 0*m**3)*(-139 + 2382*m + 430 - 145 - 144).\nAnswer: -4764*m**4 - 4*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 3*u - 33, 0 = u + 1 - 0. Suppose -39 = 16*y - 3*y. Let o = y + x. Does 3 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10107 + -10106.91. Which is smaller: a or -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 5*y. Suppose -5*k - 17 = -4*w, -2*k - 3 = w + 9. Let x(q) = -q. Let h(b) = w*s(b) - 11*x(b). Let t(z) = -10*z. Give h(t(j)).\nAnswer: -10*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 532*r**4 - 1359*r**4 - 1216*r**4 + r**4 + r**2 - r**2 + (r - r - 2*r**4)*(2 + 2 - 5) - r**4 + r**4 + r**4 + r**4 - 3*r**4 + 3*r**4.\nAnswer: -2038*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j**2 - 13580*j + 9220820 = 0.\nAnswer: 1358","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 7 = -5. Suppose -5*z = -171 - k. Let d = -12 + z. What are the prime factors of d?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1611247503 divided by 3?\nAnswer: -537082501","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -315 + 5850?\nAnswer: 5537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 41 and 5.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101*g + 46 - 13 - 10 - 8 - 14.\nAnswer: 101*g + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/488 and -33\/904.\nAnswer: 55144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, i: 11}. Give prob of picking 4 i.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7715100 divided by -128585.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 15161249 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + -7. Let f = 11673 + -11672.93. Put 2\/7, f, z, 2 in descending order.\nAnswer: 2, 2\/7, f, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c + 1. Let q be h(-4). Let j = 13 + -7. Suppose -3*z - j = -4*z. Is q at most as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.89 in 19, 1, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -4, 0.06, 406, -3\/4?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4.1 + 0.1. Let v = b - -4.1. Let j = 0.3 + -0.3. Which is smaller: j or v?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 21*z - 25*z + 35 = 0, 17*r - 3*r + z - 24 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -49 - -41 - (0 + 11) - 11\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -31 + 39. Suppose r = -4*y, -4*q - y + 244 = -3*y. Let x be ((-15)\/20)\/((-3)\/q). Solve -x = 3*i + i - k, -5*i = 2*k + 22 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -52527 - -52526.9978033. Round z to five decimal places.\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128333 is divided by 31969?\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + -2 + -2 + 8 + (-6 - -2).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -75*t**4 - 72*t**4 + 3*t**3 - 124 - 80*t**4 - 5*t**2 + 225*t**4 + 14*t**2 to c*t**3 + m + r*t**4 + l*t + q*t**2 and give q.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 289418 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -396812316, -1.\nAnswer: -396812316, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/16)\/(5*18\/(-60))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of -7*s**5\/60 + 5*s**3\/6 + 6*s**2 + 10. Let o(j) be the second derivative of d(j). What is the first derivative of o(p) wrt p?\nAnswer: -14*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121*c - 125*c - 32 = 0 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2894561610 to the power of 1\/2, to the nearest integer?\nAnswer: 53801","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 5*c + 13. What is w(-4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -26*n**4 + 18875*n**3 - 14124039*n**2 wrt n.\nAnswer: -624*n + 113250","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -32 + 74. Let y(o) = -12*o + 22*o + o**2 + 19 - 6*o. Calculate the remainder when y(-10) is divided by z.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -286 rounded to the nearest ten?\nAnswer: -290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 PM and 1:52 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 215 + -530. Let d = 944\/3 + z. Put -22, 2\/3, -5, d in descending order.\nAnswer: 2\/3, d, -5, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20102111201210 (base 3) to base 8\nAnswer: 15016202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-183)\/(-4) - 11\/(-44). Suppose 0 = -5*o + 3*j + 64, -2*o - 2*o + 5*j = -g. Let f be (-6)\/3 - (4 - o). Solve -f = 2*y + 2 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 5, 0.5, 0.2, -2216, -1, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32 and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*c - 4*c - c - 2*c + 4*c - c + c + 0*c - 3*c + (c + c - c)*(-3 + 0 + 1) + 2*c + 0*c - c + 2*c - 5*c + c.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - 6. Is u + (3 - -32) - 3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c - 2 + 3*c**2 + 1 - 4*c**2. Let z(u) = 15*u**3 + 4*u**2 - 4*u - 14. Let h(s) = -4*i(s) - z(s). Differentiate h(q) wrt q.\nAnswer: -45*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 (base 5) in base 7?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of 1\/672*g**8 - 35 + 0*g + 0*g**3 + 3\/40*g**6 + 1\/6*g**4 + 1\/6*g**5 + 1\/60*g**7 - 2*g**2. Factor v(i).\nAnswer: i*(i + 1)*(i + 2)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 28885 = o, 5*y - 2*o - 51520 - 20670 = 0. Is 56 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 1150*v - 1145*v - 3 - 8 + 65*v**3. Let d(s) = -98*s**3 - 8*s + 16. Let z(p) = -5*d(p) - 8*g(p). What is the first derivative of z(b) wrt b?\nAnswer: -90*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - -45. Let h = -11336 + 11364. What is the remainder when i is divided by h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-3)\/(l\/l**25) assuming l is positive.\nAnswer: l**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (8 + -7 + 0 - -10)) + -4.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1102 (base 3) to base 7.\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 753 = -5*q + 4*f, 5*q - 741 = -3*f. Suppose 0 = 5*g - 511 + 171. Suppose q = 2*m - g. What are the prime factors of m?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -156872 or -156873?\nAnswer: -156872","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -3*m - 18. Let j be a(0). What are the prime factors of 943 - (-30)\/(j\/3)?\nAnswer: 2, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_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: Calculate the remainder when 181 is divided by 66.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sj when two letters picked without replacement from jsssssoofossfsssfoss.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*b*l**6 + 7*b*l**2 + 661*b + 13600*l**6 wrt l?\nAnswer: -360*b*l**3 + 1632000*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) 0 (c) 1 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3500, 3493, 3486, 3479?\n\"Answer: -7*f + 3507","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32765506?\nAnswer: 2, 71, 230743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-24)\/(-144))\/(0 + 2\/(-4)). Let i be (-1412)\/(-44) - (-6)\/(-66). What is the biggest value in r, i, 0.5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j + 7. Let b(o) = 2*o**2 - o + 1. Let l be b(1). Let n be (3 - 3)\/(l\/(-1)). What is v(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 - 24*d**2 + 89*d + 343. Let x be m(18). Factor -2\/3*i**3 - x + 23\/6*i + 5\/6*i**2.\nAnswer: -(i - 3)*(i + 2)*(4*i - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 8:33 PM?\nAnswer: 1:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -978*n = -1565*n + 2348. Let o(q) = 2*q - 2. Let i be o(4). Solve i*t = n*t - 2 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of 1\/6*b**3 - 5 - 2*b**2 + 3*b. Let t(a) be the first derivative of w(a). Calculate t(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/49 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 12*o**3\/5 + 49916*o**2\/5 - 467008*o\/5 - 66704 = 0. What is o?\nAnswer: -4169, -2\/3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, k: 5, s: 4, v: 8}. What is prob of sequence kvt?\nAnswer: 5\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (-1 + (1 + -6 - -13))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 4*r**3 + 2*r**2 + 4*r - 6. Let s be x(1). Which is the third biggest value? (a) -234 (b) -1 (c) s (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1356 by 6.\nAnswer: -226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -50035 - -258?\nAnswer: -48666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21, 72, 209, 474, 909, 1556, 2457, 3654?\nAnswer: 5189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a micrometer in nanometers?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7236 - 7229. Sort 2, h, 3, 1, -5 in ascending order.\nAnswer: -5, 1, 2, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3188 and 4?\nAnswer: -12752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 205*l + 2*h - 36 = 191*l, 8*l + 2*h - 18 = 3*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 17\/3 - (-8)\/(-12). Suppose 0 = -4*b + m + 2, y*b = m - 0*m + 2. Let d(f) = -f**2 + 7 - 6*f**2 + b*f**2 + f**3 - f - 8. What is d(7)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*q**2\/5 + 288*q = 0. Calculate q.\nAnswer: 0, 360","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 187853 and 133.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) -17 (b) 4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3106.787 years in months?\nAnswer: 37281.444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*u + 5*u - u)*(-7*u + 3*u - 5*u) as d*u**2 + v + o*u and give d.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 6*x + 10 - 8 to d + g*x and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p - 1. Suppose 26 = 5*q + 4*v, -v + 8 = -q + 15. Let u(x) = -7*x + 4. Give q*k(n) + u(n).\nAnswer: -n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*g - 2*g**2 - 2*g)*(3 - 3 + 2*g) + (-2*g - 1 + 1)*(5*g**2 + 8*g**2 + 2*g**2) + 18*g**3 - 1401*g + 1401*g to f*g**2 + i*g**3 + m*g + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/(-30) - 5720\/(-225). Let q = b + 5\/18. Let v = -2846 - -39803\/14. Find the common denominator of v and q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -4*d**2. Let w(k) = 124*k**2. Give w(b(o)).\nAnswer: 1984*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 + u**2 + 4*u. Let j(l) = -3*l**3 - 19*l**2 - 32*l. Let o(m) = 5*j(m) + 20*x(m). Factor o(d).\nAnswer: 5*d*(d - 16)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 3, 2, 1.5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 193921 to the power of 1\/3, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1750 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 50643773 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -107655, -215695, -323737, -431781, -539827, -647875?\nAnswer: -755925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*h - 2*v - 27 = 28*h, 4*h - 2*v = 114. What is the remainder when 91 is divided by h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/(-20) - (-79)\/(-12). Let u = -19\/3 - x. What is the nearest to u in -5\/3, 0.2, -0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 + (-5 - -2))*2. Let k be 3466\/o*20\/2. Let j = 28665 + k. What is j rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1500 - 542*u + 749 + u**3 + 749 to q*u**2 + p*u**3 + w*u + c and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/1687528 and 73\/32.\nAnswer: 6750112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1779294 and 198?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20, -19, -84, -175?\nAnswer: -292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2323436 is divided by 34678.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -651900 rounded to the nearest 10000?\nAnswer: -650000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 4 + -6 + 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 89180 and 728.\nAnswer: 178360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1939 + -171.010404\nAnswer: 1767.989596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 8 + 2*m**2 - m - 1 + (-8 + 35 - 20)*(m**2 + 0*m**2 + 0*m**2) + 2*m**2 - 2*m**2 - 3*m**2.\nAnswer: 6*m**2 - m + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 5*q. Let c(p) be the first derivative of 27*p**3 - p**2 + 6251. What is c(k(n))?\nAnswer: 2025*n**2 - 10*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70 + (89 - (102 + -23)).\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*i**2*p**2 + 1374*i**2*p + 2*p**2 + 341*p wrt i.\nAnswer: -4*i*p**2 + 2748*i*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 6, z: 4, k: 6, b: 1}. What is prob of picking 1 z, 1 b, and 1 l?\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 5\/73968598 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -167 + 671\/4. Suppose a + 9 = 2. Let m be (2\/(-5))\/(a\/(-5)). Put 2, j, m in descending order.\nAnswer: 2, j, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**(-15\/4))\/b)\/(b*b\/(((b**(-10)*b)\/b)\/b)))**(2\/145) assuming b is positive.\nAnswer: b**(-67\/290)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/10 of a week?\nAnswer: 60480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -139108*g + 10989523. Calculate f(79).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 6 + 8 + 35*p**2.\nAnswer: 35*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1339.638 rounded to the nearest 100?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 293305 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -39 - -59. Suppose -l = 2*r - 5*b, -2*r - 5*b - 6 = -3*b. Let t be (2\/6)\/(((-20)\/36)\/r). Sort t, -5, -1, 2.\nAnswer: -5, -1, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/4 + 26\/(-3)*280\/1632 + 0\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - -11?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 42, 5 in increasing order.\nAnswer: 4, 5, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, p: 2, u: 3, c: 1, l: 1, z: 6}. Give prob of picking 2 u.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of 3*p**3\/2 + 703*p. Let r(k) = -7*k + 7. Determine u(r(z)).\nAnswer: -63*z + 63","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/4 - 1222\/(-8). Suppose r + 4*r - 85 = 0. Calculate the highest common factor of b and r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -v + 3*v. Suppose -v = y + 40. Is (-3 + 11)\/((-3)\/y) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3379511478.\nAnswer: 2, 3, 7, 659, 17443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.4, 242, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13474*v - 13476*v - 7*b - 494, -3*v - 273 = 4*b for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -944 + 1741. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 861042?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 317*i + 3*i**3 - 33*i**2 + i**3 - 317*i - 6*i**3.\nAnswer: -2*i**3 - 33*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-33)\/((-341)\/31)*(-4)\/(-28). Find b, given that a + 2*b**2 + 17\/7*b = 0.\nAnswer: -1, -3\/14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 3*z - 23597, -9*n + 4*n + 29497 = -3*z. What is n rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 0 + 399*d**5 + 18*d**3 - 18*d**3 + 2 - 3 + 42*d wrt d.\nAnswer: 7980*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 25320509, 25320517, 25320525?\n\"Answer: 8*x + 25320501","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-15)\/18)\/5)\/(2\/(-8))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b + 22. Give n(-23).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*(3 - 11) + -1. Let i be 2\/h - (176\/18 + 4). Let n be (-4)\/i*((-28)\/(-20) - 0). What is the nearest to n in 19, -4\/5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 3*h = 8, 81*n + 597*h - 594*h + 78 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-96)\/(-12))\/(1608\/6)?\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 245*a**4\/3 - 6335*a**3 + 21730*a**2 - 32620*a\/3 + 1480 = 0.\nAnswer: 2\/7, 3, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 11:59 AM?\nAnswer: 2:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*((-11)\/(-2))\/(-11)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 88b84 (base 15) in base 8?\nAnswer: 1520647","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*f + 430 - 1466. Let s(d) = -2*d**2 + 77*d - 95. What is the smallest common multiple of 132 and s(f)?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 705 + -710. Suppose 3*g = 10 + 44. What is the smallest common multiple of (-2)\/x - 84\/(-15) and g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 290197998 a multiple of 308?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -4*b**3 - b**2 + b - 1. Give l(-2).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7057 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 3 - 2)*(0*r - 2*r - 4*r) to m + j*r and give j.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2646*n - 2591*n = 3960. Calculate the least common multiple of n and 3354.\nAnswer: 40248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1235, 1241, 1249, 1259?\n\"Answer: o**2 + 3*o + 1231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*(-5 + -5)*(-1)\/1. Solve 21*c = 4*q + 25*c + 24, -5*q + 5*c = -b for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -11387 and -5.\nAnswer: 56935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (44 - (-10197)\/(-231)) + (4 - (-585)\/(-21)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**4 - 7*w**3 - 6*w**2 + 32*w + 32.\nAnswer: -(w - 2)*(w + 1)*(w + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3300978?\nAnswer: 2, 3, 550163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 102090927 to the nearest integer?\nAnswer: 467","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.76 rounded to zero decimal places?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0*s**3 - 2*s**3 - 2)*(s - 131*s - 38*s).\nAnswer: 336*s**4 + 336*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -55, 3, -19, 6, 4, -2, -5.\nAnswer: -55, -19, -5, -2, 3, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -41*b**3 + 21*b**2 + 66*b + 4. Let k(r) = -10*r**3 + 5*r**2 + 15*r + 1. Give -6*d(t) + 25*k(t).\nAnswer: -4*t**3 - t**2 - 21*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the third derivative of 121*j**6\/360 + 7*j**4\/3 + 128*j**2. Let p(y) be the second derivative of l(y). Let v(b) = b**2. Give p(v(x)).\nAnswer: 242*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n. Let w be o(0). Let j be 0 - 1 - (0 + 3). Let z = 5 + j. Which is bigger: w or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 210 and 500?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -33*k + 6129 + 38388. What is the hundreds digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 1:16 PM?\nAnswer: 2:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = 4*l + 65, -3*l + 293 = -2*c + 290 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 15*k**3 + 20*k**2 - k - 2. Let u be j(-9). Is (7*(-5)\/(-70))\/((-2)\/u) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 72 - -231?\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -70, -136, -194, -244, -286?\nAnswer: -320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1644713 rounded to the nearest 10000?\nAnswer: -1640000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -10 + 14 + -3 + 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*z = -45*z + 4 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3054 - -3?\nAnswer: 3060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 6 + b + 0*b)*(152*b - 35096 + 35096).\nAnswer: 152*b**2 - 456*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2006925 to three dps.\nAnswer: 0.201","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 15913989.53 to the nearest 100000.\nAnswer: 15900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2579069075.\nAnswer: 5, 11, 937, 10009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1050110 (base 7) to base 8\nAnswer: 375256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -84 - -100. Let p be (q\/36)\/(2\/117). Suppose -s + 208 = s. What is the highest common divisor of s and p?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j**2 - 6*j**2 - 2*j**2 + (2 + 2 - 6)*(j**2 + j**2 - 3*j**2) + 0*j**2 + 4*j**2 + 7*j**2.\nAnswer: 5*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 152*g + 161*g + 16606 = -48*g for g.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((20800\/720)\/65)\/(4*2\/468)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 7347561 and -3?\nAnswer: 7347564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/7, -1\/6, -2, -0.3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 720 - 447. Suppose -h = x - 1351. Is 54 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 214 - 427 = 0. Is w a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 + 3*n - 2. Let r be -4*2\/8*6. Let h be z(r). Suppose -3*b = -h - 14. Is 6 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 317 divide 244490?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -425858.4 - -711839.5. Let n = l + -285981.13999982. Let j = n - -0.04. Round j to seven dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -40 - -49. Let x be (-8)\/u - (-8)\/36. Which is the biggest value? (a) x (b) 15 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from llplllpsslsl.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 - (-1)\/1)*1. Let p = 7 - i. Let b(t) = -3*t**3 - 2*t**2 + 1. Let h be b(-1). Sort h, p, 5 in decreasing order.\nAnswer: 5, p, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.04 + 489352696.\nAnswer: 489352696.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 124*u = 305*u + 724 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -276 - -359. What is the first derivative of -6*z**4 - 52*z + 83*z**3 + 72 - v*z**3 + 8*z**4 wrt z?\nAnswer: 8*z**3 - 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33009631 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 269*h**2 - 274*h**2 + 12 + 60 in the form j*h**2 + k + t*h and give j.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129723 is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.4 - 3. Let z = -2 - r. Let u = z - -0.3. Which is smaller: -2\/31 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 123 = -6*v - 1, 5*r - 1818 + 1876 = 3*v for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2*t - 8. Let z(b) = -5*b + 25. Let r(v) = 8*s(v) + 3*z(v). Let k be r(-8). Suppose -2*q = -3*q - 5*i + 26, -4*q + 87 = k*i. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of 1\/120*o**6 - 1\/8*o**4 + 3*o**2 - 1\/30*o**5 + 0 + 0*o + 2\/3*o**3. Let a = -8 - -11. What is y(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*j**4 - 1715*j**3 - 1720*j**2 = 0. What is j?\nAnswer: -1, 0, 344","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + (13 - (21 - 24)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r - r + 3*r)*(166 + 151 + 139 - 394).\nAnswer: 124*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/377 smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4\/13, 0.1.\nAnswer: 0.1, 4\/13, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/66 and -137\/300.\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - a = -3*a + 36, -4*a = 2*d - 32. Suppose d*m - 8*m = 34. Calculate the remainder when 50 is divided by m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 44\/307 and 41\/3377.\nAnswer: 3377","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - d - 4 = 0, -h - 18 + 0 = -3*d. What is the units digit of h - -15 - (4 - 1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 - -6. Let j = -701\/16 - -6341\/144. Put j, q, -6, 4 in ascending order.\nAnswer: -6, q, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -525 (base 6) to base 2.\nAnswer: -11000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -0*n + y - 119, 5*n + 592 = 2*y. Let z = n + 252. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = v - 7*p + 16, 10*v + 138*p = 135*p - 87 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 294848 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 4:11 PM?\nAnswer: 5:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*i + 3*w, i - 4 = -4*w + 1. Let b(x) = -x**3 + 4*x**2 + 3*x + 15. Let m be b(5). Solve -q - 3 = -y, -y + 2*y = m*q - i for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 26694883 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 53\/5? (a) -2\/3 (b) -0.07 (c) -7\/362 (d) 2 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 362\/7, -53, -33?\nAnswer: 362\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153)*-1*6 - (sqrt(153) - (2*sqrt(153) + sqrt(153))*-1))\/((sqrt(378)\/sqrt(6) + sqrt(63))\/sqrt(7)*-5).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 289 + 301 = 0, -8*t = 4*n + 24 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/72*-2*1. Factor x + 4\/9*t**3 - 7\/9*t - 5\/9*t**2.\nAnswer: (t - 2)*(t + 1)*(4*t - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 6:48 AM?\nAnswer: 12:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*v, -2*t + 5 = -0*t - 3*v. Suppose -21 = -5*y - 1. Suppose -t*f = -y*f. Which is the smallest value? (a) f (b) 2 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1309 is divided by 322.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -17? (a) -0.4 (b) -4 (c) 0.2 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 3*x + 80 = 0. Let d = x + -20. Let u(j) = j**2 - 2*j - 3. Let f be u(3). Solve 2*k + d + 6 = f for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 20 = 2*g. What is the least common multiple of 8 and g?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6 is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w + 18803 = -5749. What is the highest common divisor of 33 and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -212.143 + 212. Let m = -0.14299785 - f. What is m rounded to 7 dps?\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = 0, -5*m + 11 = -14*m + 5*n - 25 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*w + 3 - 3 + (2*w - w + 0*w)*(1 + 2 - 1) + (-9*w + 169 - 169)*(-2 + 0 + 0) as i*w + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.591 (b) 9 (c) 0.028\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-42)\/980*-14*20\/(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than 7\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 + -34 - (2 + 8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 71 = -4*w, 5*w - 31 = q - 2*q. Let z = 0.2194 - 0.0194. Which is the nearest to 1\/4? (a) -1\/2 (b) z (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -91813, -92293, -92809, -93379, -94021, -94753, -95593?\n\"Answer: -3*d**3 - 459*d - 91351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4946172 divided by 12243?\nAnswer: -404","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*d + 46 + 13 = -9. Suppose -3*v = -8 - 1. Suppose -2*h - d*q = -v*q - 38, 5*h + 5*q - 110 = 0. Calculate the greatest common factor of h and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 13) to base 3.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (208\/(-120))\/26*10\/(-2)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 172803?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -153*l + 34524. What is z(227)?\nAnswer: -207","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*r - 60 = 36. Suppose -2*p - 5*o + r = 0, -2*p - 2*o + 27 - 7 = 0. Let q(j) = 18*j - p*j - 16*j - 4*j. Let m(t) = t**2. What is q(m(d))?\nAnswer: -16*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 17309 and -5.4873?\nAnswer: 17314.4873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) 1\/3 (b) 2\/1555 (c) 3\/41 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6753 (base 8) in base 4?\nAnswer: -313223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide (1 + 11)*(-14)\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 v when two letters picked without replacement from tvvvqqv?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 91438761 to the nearest integer?\nAnswer: 451","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 34 + 83. Let i = 1289\/11 - n. Find w such that -4\/11*w**3 + 0*w + 0 + 6\/11*w**4 - i*w**2 = 0.\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 269 a factor of 689244?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -278.9 (b) -0.3 (c) -38\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 22, 71, 152, 265, 410, 587, 796?\n\"Answer: 16*z**2 + z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 743697 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of -v**4\/12 + 5*v**3\/3 + 13*v**2\/2 + 5*v. Let y be q(11). Solve 0 = -y*l - 3 + 1 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 0 - (27 - (-19 + (-14 - (-1 - 16))))\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/2726142 and 127\/300.\nAnswer: 136307100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -5*k**2. Let y(t) = -2*t + 856. Calculate y(s(a)).\nAnswer: 10*a**2 + 856","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 9 = -3. Suppose l*i + 117 = 15*i. Let m(a) = -a + 43. Let v be m(17). Calculate the highest common divisor of i and v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -0*f - 8. Let r = 5 + f. Suppose r + 14 = m. What are the prime factors of m?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -112*q - 116*q - 110*q + 537*q - 107*q - 114*q.\nAnswer: -22*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -10*u**4\/13 - 2089174*u**3\/13 - 145494812232*u**2\/13 - 3378137225958432*u\/13 - 31741635737556864\/13 = 0.\nAnswer: -69636, -47\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 402 - -12?\nAnswer: 414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwynzwzwnwwwzny. What is prob of sequence wzn?\nAnswer: 3\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*g*o*t**2 + 2*g*o*t - g*o + 2*g*t + 10419*o*t**2 + 40*o*t - 135*o - 5003*t**2 - 124 wrt t.\nAnswer: -10*g*o + 20838*o - 10006","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3922 = -6*g + 1940. List the prime factors of g.\nAnswer: 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 36*v**5 + 5*v**4 - 765380*v**3 + 965*v**2 + 27156*v wrt v?\nAnswer: 2160*v**2 + 120*v - 4592280","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 196*h**5 + 840*h**4 + 564*h**3 - 832*h**2 - 768*h = 0. What is h?\nAnswer: -3, -8\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 972467 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 10*j = 8*o - 0*j, -2 = -2*j - 4 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -4*n + 35. Let a be j(8). Suppose 3*v - 5*l - 97 = 0, 2*l = -a*v + 2*v + 14. What is the greatest common divisor of 24 and v?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 2*j - 24492, 5*j + 7*l - 61230 = 15*l. What are the prime factors of j?\nAnswer: 2, 3, 13, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2675 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*p, -2*t - 3 = 2*p - 17. Let l(h) = -2. Let r(g) = -g + 5. Determine t*r(q) + 15*l(q).\nAnswer: -6*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78710.\nAnswer: 2, 5, 17, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/7595206575 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of -j**6\/120 + j**5\/30 - j**4\/6 + j**3\/2 - 33*j**2. Determine k(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 608.\nAnswer: -182.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3)\/(-2))\/(15\/20). Suppose 7 - 3 = s*m. Suppose -3*o - m*o = -75. List the prime factors of o.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 521600.4 millilitres?\nAnswer: 521.6004","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, g: 3, i: 3, a: 2, r: 4, y: 2}. Give prob of sequence ea.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -2\/73, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1103212 (base 4) to base 11\nAnswer: 4024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8788024 to the power of 1\/3, to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -252 divided by -14.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1.500524 times -0.07\nAnswer: -0.10503668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of -169.5 and -912.2.\nAnswer: -1081.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 545710191.\nAnswer: 3, 13, 19, 727, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, r: 4, d: 1, c: 1, m: 7, j: 1}. What is prob of sequence jd?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 33*w + 283. Give x(-9).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15 and 2476185.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2280717 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13176379?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 197081 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: Calculate the highest common divisor of 75 and 6563.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cb when two letters picked without replacement from fabbppccv?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 AM and 6:18 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 1655166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**3 + 3*z**2 - 3*z**2)*(1 + 5 - 4 - z**2) - 5*z + 5*z**5 + 4534*z**3 - 4534*z**3.\nAnswer: 6*z**5 - 2*z**3 - 5*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u\/(u**(-3\/11)*u)*u)\/(u*u*u**8*u))\/(u\/(u*(u\/u**(-2\/9))\/u)*u*u*u*u*u**(-1)))**(-15\/8) assuming u is positive.\nAnswer: u**(5695\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17620?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o + 5. Let z be g(-3). Suppose -t = z*t - 3. Calculate the lowest common multiple of 8 and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -49*n + 4*n**3 - 18*n - 26*n + 4*n - 3*n**3 to the form w*n**3 + v + s*n + x*n**2 and give s.\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1168 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.1048863 and 3.732.\nAnswer: 3.8368863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2322d0 + 3?\nAnswer: -2322cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-30)\/(-105)*5\/20*2.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.357 and -10364.5587.\nAnswer: -10364.2017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 595 + -593. What is the closest to u in -2\/7, 6, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10693 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, j: 1, z: 2, i: 1}. Give prob of sequence zi.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 357179534 to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -151, -95248 in decreasing order.\nAnswer: 7, -151, -95248","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 2*g + 13 = -5, 0 = g + 3. Suppose h*x - 10600 = -117384. Let u = x - -293751\/22. Calculate the common denominator of u and 19\/206.\nAnswer: 2266","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 - 41*w**2 + 45*w + 90. Determine y(-42).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*p**4 - p**3 - 4*p**2 + 6*p**2 - 2*p**3 + p**3 to z*p**4 + t*p + j*p**3 + x + u*p**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.21 + -0.31. Let x = -51.1 + 54.1. Which is the closest to -11? (a) -4 (b) t (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1133 and 927?\nAnswer: 10197","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(4032) - (sqrt(9072) + sqrt(9072) + sqrt(9072)*2))\/((sqrt(504)\/((sqrt(8) - (sqrt(8) + sqrt(8) + 2*sqrt(8))) + sqrt(8)))\/sqrt(7)).\nAnswer: 80*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.02 - 0.04. Let f = -0.62 - p. Let t = f - -0.7. What is the nearest to t in -4, -0.5, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-7 + -5 + 3) - (20 + -17)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 112799607062+2.9\nAnswer: 112799607064.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 3*l**2 - l - 7. Let y(o) be the first derivative of o**3\/3 - 2*o**2 - 9*o - 86. Let c be y(-2). What is s(c)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00061780705 rounded to 4 decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.6518 times 5?\nAnswer: 128.259","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, w: 4, m: 1, r: 1, u: 2}. Give prob of picking 1 c and 1 u.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j\/(j**(-11)*j))\/j)\/(j*j\/(j*j**(1\/4)*j*j)))\/(j**5*j**3*j))**(-38) assuming j is positive.\nAnswer: j**(-171\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2942*u**4 - 5890*u**3 + 2954*u**2 - 6*u = 0.\nAnswer: 0, 3\/1471, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-5 + sqrt(605)*-2 + sqrt(605) + sqrt(605) + -4).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + z + 6 - 2, -4*o = -3*z - 15. Let h be o*2*(-1)\/(-3). What is the second derivative of 0*k - 2*k - h*k**5 - k + k wrt k?\nAnswer: -40*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49 is divided by 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 25*o**3 - 3*o**2 + 2. Suppose 1038*t - 1040*t + 29 = -5*h, 2*t = -5*h - 1. Let q(f) = 51*f**3 - 7*f**2 + 5. Determine t*x(i) - 3*q(i).\nAnswer: 22*i**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1804.7 + 1895. Round a to the nearest integer.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -83c79 (base 14) in base 6?\nAnswer: -10452151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the second derivative of -o**5\/160 - 59*o**4\/96 + 5*o**3\/4 - 42*o - 2. Factor u(g).\nAnswer: -g*(g - 1)*(g + 60)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-6) + 3143\/105. Let l = f + -1607\/45. Calculate the common denominator of l and 51\/2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -145 - (13 - 2 - (23 + 7)).\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1145148699 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (5\/5)\/((-1)\/(-3)). Suppose -3 = -u*a + 3*i, 3*a - i = i + 7. Suppose -a = z, -3*l - 2*z + 35 = -0*l. Solve -9 = 3*q + 3*w, 2*w + w - l = 3*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 20*o**3 - 2*o + 2. Calculate the remainder when z(1) is divided by 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16839, 33689, 50539, 67389, 84239?\nAnswer: 101089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 184 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 12 - 10)*(4*k + 2*k - k) as w*k + r and give w.\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7286*g = -7331*g + 135. Let u = 5 - 2. Calculate the highest common factor of g and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 + y + (0 + 2 + 0)*(3*y + y - 3*y) + 18*y + 27*y + 8*y - 2*y + 2*y - 4*y + (-3 + 4 + 1)*(-6*y + 3*y + 2*y) - 4*y + y - y.\nAnswer: 46*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54558.\nAnswer: 2, 3, 7, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.195494 to two dps.\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 288, -4, 6 in ascending order.\nAnswer: -4, 6, 288","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(1539) - (2 + sqrt(1539)) - 2*sqrt(76) - (sqrt(2736) + 1*sqrt(2736) + 4)))**2.\nAnswer: 5376*sqrt(19) + 238912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 58.86 rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 4*c - 71. Suppose 44 = 11*f - 154. What is the remainder when c is divided by f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 - -11. Suppose 0 = t - 4*l + 12 + j, 3*l = -t + 14. Solve 3*y + c = 5*c - 15, -y - c + t = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -90731, -363285, -817547, -1453517, -2271195?\nAnswer: -3270581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 158478907592 - 158477612052.99967. Let j = -1295471 + t. Let v = -68 + j. Round v to four decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 222 - 222 - 8*i.\nAnswer: -8*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of 0*z**3 + 0 + 0*z**4 + 1\/10*z**5 + z + 9\/2*z**2. Differentiate r(f) wrt f.\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 95 = 5*l, -a - 4*l = 27 - 0. Let y = -771 + 1071. Let c = a + y. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -185084*k*o**3 + 425*k*o**2 - 835*o**3 + o**2 + 36 wrt k?\nAnswer: -185084*o**3 + 425*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*d + 1 - d**2 + 14*d - 1 to h*d + i*d**2 + f and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16627150?\nAnswer: 2, 5, 29, 11467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 + 3*f. Let h be p(-5). Let n = -18 + 25. Suppose n*w - 4*w - 60 = 0. Solve h*x - 5*x + w = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 - 3*p**2 - 6. Let j(i) = 2*i**3 - 2*i**2 + i - 6. Let q(h) = 2*j(h) - 3*u(h). Calculate q(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-101661)\/(-252))\/(-103))\/((-2)\/6).\nAnswer: 47\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*a - 22*a = -26*a - 319036. What is the hundreds digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 + 11*y**2 - y + 6. Let d be n(11). Let g(w) = w**2 + 4*w - 2. Let r be g(d). Put -3, -4, r in increasing order.\nAnswer: -4, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 2, 2\/21, 0 in descending order.\nAnswer: 2, 2\/21, 0, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -40 - -39.8. Let h = -0.09 + 5.09. Let o = 0.1 - -0.2. Which is the second biggest value? (a) h (b) s (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**4 - 16*o**3 + 212*o**2 + 816*o - 1008.\nAnswer: -4*(o - 7)*(o - 1)*(o + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/480 and -71\/3162528.\nAnswer: 15812640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4077470401 to the power of 1\/2, to the nearest integer?\nAnswer: 63855","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hl when two letters picked without replacement from nlh.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -82 - -90. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.01, -2, -57\/5, 2\/9, 57.\nAnswer: -57\/5, -2, 0.01, 2\/9, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11519 by 3.\nAnswer: 11519\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2575.152km to centimeters.\nAnswer: 257515200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 799, 1593, 2399, 3217, 4047, 4889?\nAnswer: 5743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of -t**6\/10 + 42*t**5 + 912*t**3 + 5*t + 118. What is the second derivative of b(y) wrt y?\nAnswer: -36*y**2 + 5040*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -864 = 3*s + 2*u - 880, 10 = 4*s - 3*u. Solve 26 = -2*d - 256*i + 253*i, -s*d - 5*i - 46 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.5 from 8373.\nAnswer: 8373.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.8104 - -0.0584. Let y = v + 1.7520707. Round y to 5 dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3 and 34301180.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + -45152?\nAnswer: -45151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {u: 1, q: 2, b: 1, j: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express u**3 + 0 - 5 - 4*u**2 + 0 + 3 as s*u**3 + c*u**2 + o*u + l and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-1)\/j*j**(2\/5)*j*j*j*j**(-5)*j**5 assuming j is positive.\nAnswer: j**(7\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 - 1. Let r = 47799 - 47801. Put 5, r, 2, n in descending order.\nAnswer: 5, 2, r, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*a**4 + 5364*a**3 - 106400*a**2 + 588528*a + 70720 = 0. What is a?\nAnswer: -2\/17, 10, 17, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 - 4*o + 6. Let f(k) = 5*k**2 - 19*k + 30. Let x(l) = 2*f(l) - 11*s(l). Let p be x(5). Let h = p - -1. Solve h*d + 5*d = 5 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 + 18\/15)*-5. Suppose 5*z = 2*h - 0*z - 33, -r*h + 5*z + 91 = 0. Let c(q) = -h*q + 12*q + 16*q - 2. What is c(5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 4:31 AM?\nAnswer: 10:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 + 5*v - 7. Suppose -3*c = -x + 6*x + 1337, c - 537 = 2*x. Let w be (5 - x\/(-52))*-13. What is u(w)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 601371851 a multiple of 1603?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 642407, 0.\nAnswer: 0, 5, 642407","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.4, -2, -0.36, 0.1, 3\/2, -4\/3?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*u - 3*u. Let w = 6.9 + -7. Let t = -2.1 - 1.9. Which is the third smallest value? (a) w (b) u (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 9) to base 3.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 + 21*u**2 - 77*u + 4. What is the units digit of z(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -13 - 3216833?\nAnswer: -3216846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6139644823 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9536 times 3?\nAnswer: -2.8608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 45*t + 112. Is j(17) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127 is divided by 43*(-3 + 2)\/(-4 + 3)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j. Let p(w) = -6544*w + 1. Determine 6*g(f) + p(f).\nAnswer: -6550*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (552 - -4) + 0\/2. Suppose -a = -4*k - 64. Round k to the nearest 10.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a gram in milligrams?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -2\/487393?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 179 + -131. Let j be (-4)\/6 + 272\/q. Suppose -j*t + 4*o = -33, 3*t - o - 7 = 2*t. Solve 3 = i, -2*h + t*i = 21 - 6 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -197\/26586120 and -131\/87888.\nAnswer: 53172240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2*n**3 - 12*n**2 - 2*n - 92. List the prime factors of d(-11).\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -10*p + 9. What is y(1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 340 + -153. Let v = -176 + j. Solve b + v = 3*m, -3*m + 2*b + 12 = m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((8 - 12) + 7 - 6) + 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2337?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (1 - (12 + -1)) + -46 + 61?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, t: 1, x: 2}. Give prob of sequence xt.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24831.\nAnswer: 3, 31, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1584) + -1 + sqrt(1584) + -2 - sqrt(1584))**2 + sqrt(1584).\nAnswer: -60*sqrt(11) + 1593","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 132 and 1232?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + 0. Suppose -5*v - 2*h + 95 = 0, l*v + 4*h - 3*h = 76. What is the greatest common factor of v and 133?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 173.4 + -147. Let v = 26.4000235 - h. What is v rounded to five decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/13 - 945\/195 - 1353\/(-165)?\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30458106 and 43659.\nAnswer: 335039166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.3 + -0.43. Let c = r + 5.13. Let a be (-117)\/(-15) - 4 - 3. Sort c, a, 1\/2 in increasing order.\nAnswer: 1\/2, a, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9413\/9552 - 5\/796. What is the common denominator of z and -7\/36?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one quarter of a microgram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r - 45 = -r. Let f be (-1012)\/18 + 28\/126. What is the tens digit of r\/(4 + -1) - f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -166, -303, -390, -403, -318, -111, 242, 765?\nAnswer: 1482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -15\/586 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -67 + 112. Let h = l - 41. Let y(i) = -5*i + 2 + i + h*i - 3*i. Give y(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/5))**(3\/16)\/(g**21\/((g\/(g**(2\/7)*g))\/g)) assuming g is positive.\nAnswer: g**(-6261\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -377 + 374. Put -48, 2, 4, 3, v in decreasing order.\nAnswer: 4, 3, 2, v, -48","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -2\/23 (b) 1\/6 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 2*o**3 - 3*o**2 - 4*o - 7. Let j be ((-4)\/(-8)*10)\/1. What are the prime factors of h(j)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + f = 5*f - 12, 5*b + f = 3 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/(-3))\/((-6)\/36). Suppose 4 = -i - i, -i - 58 = -w*r. Is 4 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5606 is divided by 292.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 465846.\nAnswer: 2, 3, 77641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 - 12940*b - 1107108. Determine l(-85).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 + 9*z**2 + 1355*z - 48. Give q(0).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -216*v + 12 - 12 + 3 - 67*v to f + l*v and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000029529 to seven dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/o**(2\/7)*o)*o)**(-19)\/((o\/(o**(2\/23)*o))\/o*o**(-20)\/o))**(-33) assuming o is positive.\nAnswer: o**(-88506\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**4\/(((s\/(s**(-2\/45)*s*s))\/s)\/s))\/(s**(-1\/17))**39 assuming s is positive.\nAnswer: s**(7076\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 6 + 2)*(-4*t - 2 + 4*t + 3*t**3).\nAnswer: -6*t**3 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-5) - 68\/(-20). Suppose -j*s + 2*o + 4 = 0, o + 3 = -s + 6. What is the second derivative of -5*d**2 + 2*d**s - 2*d + 3*d**2 - 2*d**3 wrt d?\nAnswer: -12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1038 and 173?\nAnswer: 1038","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 56*a - 9. Let m(p) = -p**2 - 8*p. Let o be m(-7). Suppose 4*z - 33 = o. Is x(z) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 34*x**2 - 44*x - 82. Give p(3).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 876167 is divided by 1753.\nAnswer: 1420","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 125 divided by 4332459.\nAnswer: 125\/4332459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25705788.\nAnswer: 2, 3, 2142149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 + (-5)\/((-5)\/6). Suppose i - 35 = 4*c - 39, 0 = 3*c - u. Solve -11*f + i = -19*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/(-54))\/(1\/(84\/(-18))). Let k = b + -4\/81. What is the common denominator of -29\/39 and k?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -3*p + 40, -p + 5*q - 12 + 42 = 0. Suppose v - 10 = -d, 0*v = -p*d + v + 26. Calculate the greatest common divisor of d and 26.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 69*o + 15. What is y(-2)?\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-10 + 2 + -1 - -51) + 0 + 10 + -12\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 339994.\nAnswer: -1\/169997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49 = 8*z - 17 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is k in k**2\/3 + 9654*k - 57928\/3 = 0?\nAnswer: -28964, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -82*w - 298. Let r be l(-4). Let h be 770\/33*(-1 + 3 + 1). What is the highest common factor of r and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 + 12*k**2 + 11*k - 5. Calculate u(13).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2\/62965 - -8993\/62965. Which is the smallest value? (a) f (b) 0.097 (c) 2\/19 (d) 15 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6.86 - 6.469. Let z = -0.609 - h. Let n be -4*((-4)\/2 + 1). Which is the fourth biggest value? (a) -0.1 (b) n (c) z (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30701251?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53531467.\nAnswer: 11, 59, 82483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9\/(245\/(-82) - -3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18 - -47 - 28) + (4 - -2).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5 - ((-1)\/(-1) + 1). Suppose -z = -n*z + 14. List the prime factors of z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 376172524.\nAnswer: 2, 7, 13, 1033441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/w**(-5\/3))\/(((w\/w**(2\/7))\/w)\/w))\/(w*w*w**(2\/5)*w*w\/w**5))\/(w**(-2\/19)\/w**3*w*w**(-2\/9)\/w*w*(w*w\/(w**(1\/5)\/w)*w)\/w*w) assuming w is positive.\nAnswer: w**(18433\/5985)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2506363 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1876875?\nAnswer: 3, 5, 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 10 = 10. Let h = -33 - -46. Let x = h - d. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of 377*u**5\/5 - 341*u**2\/2 - 44. What is the second derivative of r(x) wrt x?\nAnswer: 4524*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -331169 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -105 (c) -4\/7 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -37*z**2. Let l be 3 + -7 + -1 - (-39167 + 4). Let q(u) = -l + 39158 - 3*u**2. Determine m(q(y)).\nAnswer: -333*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 k when two letters picked without replacement from eevkvkkeekkkkee.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 90 and 10332?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5985?\nAnswer: 3, 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1201 (base 4) to base 12\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + -12 - (-2 - 9).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 205 + 12*z - 205 - 13*z.\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 3*t**3 - 5*t**2 - t - 6. Let v be o(3). Is 1313\/3 + 36\/v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -48 (b) 0 (c) -68 (d) -4 (e) 7\/5 (f) 1 (g) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 - 3*w**2 - 3*w - 5. Let v be a(-3). Suppose 0 = v*z - s - 402, 0 = -4*z - 5*s + 283 + 107. Is z a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -10 - 4?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 3871 + 3*u - 3902 + 11*u as a*u + i and give i.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 3*c + 19, -3*t + c = t - 53. Factor -56*f**3 - 4*f**5 - t*f + 64*f**2 + 24*f**4 + 1 - 22*f + 7.\nAnswer: -4*(f - 2)*(f - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3438220 to the power of 1\/3, to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s**3 + 3*s**3 - 8*s**3)*(2 + 1 + 1)*(1 - 8 - 2)*(-s**2 + 2*s**2 + s**2).\nAnswer: 144*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 51, -1467 in decreasing order.\nAnswer: 51, 5, -1467","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3197 or 816?\nAnswer: 3197","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00020291 to 4 dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-42)\/21*(-6)\/8.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 65533111 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*i - 16*i + 14508. What are the prime factors of i?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -187\/579 + -2\/193. Suppose 30 = -5*x + 7*p - 2*p, -4*x + 2*p = 18. Which is the nearest to 1\/5? (a) s (b) x (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 + -2 - (-21 + (34 - 52))\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4204 to the power of 1\/2, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 3*c**2 + c - 4. Let l(t) = t - 1. Let s = -920 + 919. Determine s*i(u) + 2*l(u).\nAnswer: -3*u**2 + u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + -3. Suppose 6*z - 2*z - 52 = c. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (114\/(-28) + 4)*-4.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1423 by 5.\nAnswer: 1423\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 2*z - 7 = 0, -757*z - 13 = -4*k - 758*z for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11320?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = u - 2069, u + 2754 = -5*h + 9*h. Does 13 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1228829*v**4 - 7*v**2 - 59408*v - 63 wrt v.\nAnswer: -14745948*v**2 - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 445, 927, 1731, 2857, 4305, 6075?\nAnswer: 8167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 24\/14*8\/(-80)*-35. Suppose 0 = -g*w + 380 + 262. What is the remainder when w is divided by 43?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-7\/3)\/k)\/k**1*(k**(-2\/5))**(-24) assuming k is positive.\nAnswer: k**(94\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 125874454 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 18254013?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 445056163 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/2)\/(306\/68).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83236 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 522 and 573.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*b - 7. Suppose -3*p + 5*v + 125 = 0, -b*v - 230 = -7*p + 2*p. Let c(w) = 2*w**2 - 57*w - 348. What is the remainder when p is divided by c(34)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-2)\/(-9) - (-1)\/(-3) and 49\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 - -6)*(-2 - 2). Let u = 21 + p. Suppose -5*j - 4*w + 44 = 0, 0 = -8*w + 3*w + u. What is the least common multiple of j and 54?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 55522.02 weeks?\nAnswer: 559661961.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/9 (b) 7\/3 (c) -0.5 (d) 3 (e) 19\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/8 of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 5:21 PM?\nAnswer: 5:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 975*a - 975*a + 589*a**3.\nAnswer: 589*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -2*v + 8. Let b be y(-6). Let z be (-8)\/1*-1*(-1)\/(-1). What is the greatest common divisor of b and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1202, 2808, 4414?\nAnswer: 6020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l - 3*l + 104372*l**2 + 104321*l**2 - 208688*l**2.\nAnswer: 5*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 107563 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 + 8*x**2 - 11. Calculate p(-8).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 256265531 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28528\/(-2)*(30\/12 - 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that j**2\/5 + 29336*j\/5 + 215150224\/5 = 0.\nAnswer: -14668","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**1*q*q)**9\/(q*q**0\/q*q)**(1\/34)*((q\/q**7)\/(q*q**(4\/7)))**(-1\/15) assuming q is positive.\nAnswer: q**(98087\/3570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 - 6*h**2 + 14*h + 18. Calculate x(-8).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*y + 24959 + 76623 = 0. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/9 or -217028\/1753?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(-6) + (165\/18)\/5. Let p be (-54)\/6*(c + (-7)\/3). Suppose -66*g + p = -65*g. Solve y + 16 = -g*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 2 = -3*n, -2*n - 4*r = -3*n + 4. Suppose n = u + 3*u - 2*v - 24, -v = u - 12. Solve -j + 3*c - u*c = -20, -4*c = j - 16 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 965*n**3 - 103131*n**2 wrt n.\nAnswer: 5790","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -604*v = r - 599*v - 89, 6*v - 122 = -5*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.6 - 0.4. Sort f, 5, 2.\nAnswer: f, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 211*y**2. Let l(n) = 3*n. Determine o(l(i)).\nAnswer: 1899*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -802, -1603, -2404, -3205?\nAnswer: -4006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*p + 49*p - 95*p - 36*p**3.\nAnswer: -36*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 q when three letters picked without replacement from qqqqqqqqcqqqqqqp?\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (39\/(-13) + 986)*7 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -13*p**3 - 63*p**2 - 57*p + 36. Give q(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-13)\/(-2) + 8\/(-16). Suppose 0*k = 2*k - j. Calculate the remainder when 8 is divided by k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -1047*z - 973. Let w(u) = -2092*u - 1961. Let j(d) = -5*a(d) + 2*w(d). Differentiate j(v) wrt v.\nAnswer: 1051","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d**2 + 0*d**2 - d**2)*(-2*d**2 + 2*d**3 + 2*d**2) - 5 + 5 - 2*d**5 - d**5 + 61*d + 3*d**5 - 37*d.\nAnswer: 4*d**5 + 24*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-11 - -13) + (-7 - (-4 - 17))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5671984?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3*88\/60*-5. Let l be (-3)\/(-2) + 11\/o. Sort -1, -2, l in increasing order.\nAnswer: -2, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -3*k**2 + 5*k + 3. Let u be h(2). What is the second biggest value in u, -1.8, -3, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 266 is divided by (-7 + 6)\/(1\/(-45)).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6749208 divided by 6\nAnswer: -1124868","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 + 934 = 2*w. Let v = w - 448. Solve i = 4*l - 0*i - 13, -4*l + 5*i = -v for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 - 4*m**2 - m + 18. What is q(-3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8a6 + -25?\nAnswer: 881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 0*c = -2*y - 28, 0 = 2*y + c + 4. What is the remainder when 55 is divided by y\/18 + (-173)\/(-9)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*x - 64 = -16 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001676754 to 4 decimal places.\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 22 - 1 = 5*n - 7 + 1, 0 = -4*n + 3*d + 3 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.021 * -17.363.\nAnswer: 0.364623","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -37*o**2 - 3*o - 8. Let t be (72\/(-84) - -1) + (-44)\/14. Let z(f) = -18*f**2 - 2*f - 5. Let b(w) = t*q(w) + 5*z(w). Give b(-1).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*w + 35*w - 1820 = 0. Let x be 13\/w - (-5599995)\/50. Round x to the nearest one thousand.\nAnswer: 112000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 103*d**2 - 27*d + 28. Is w(6) a multiple of 93?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssssissszsodsosio. Give prob of sequence is.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 687.1627 kilometers in millimeters?\nAnswer: 687162700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2108 - -1316. Let s = -10281\/13 - a. Let z = -179.88 - -178.88. Which is greater: s or z?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -36912548 by 5.\nAnswer: -36912548\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-170)\/(-1275)*41\/(41\/6)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5 + 0 - (-11)\/22*252. Find the third derivative of 0*j**2 + 2 + x*j**5 + 24*j**2 + 45*j**2 - 3 wrt j.\nAnswer: 7860*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4560)\/171*27\/(-36).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -142 or -2925?\nAnswer: -2925","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 58 - 63. Let x = -24.9 + 25. Which is the nearest to -0.2? (a) x (b) k (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 461?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*o**4 + 0*o**4 - 48*o**2 + 169*o**5 + 4*o**4 + 6*o**4 wrt o?\nAnswer: 10140*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gfs when three letters picked without replacement from sesfefeeefsgeeefeeg.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 32*n**6 - 2*n**4 - 8*n**3 - n**2 - 129*n - 6 wrt n?\nAnswer: 3840*n**3 - 48*n - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 185737 - 0?\nAnswer: 185737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -41022331 (base 6) to base 12\nAnswer: -4849a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**1*h)\/(h*h\/((h\/(h*((h**(-8\/3)\/h)\/h)\/h))\/h)))\/((h*h**(-1))\/(h\/(h**(-1\/5)\/h))) assuming h is positive.\nAnswer: h**(103\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 23763749 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 4*r + 1. Let o be y(-2). Let w be -1*o\/(35\/10). What is the first derivative of -68*s**w + 4*s**2 + 30 + 26*s**2 wrt s?\nAnswer: -76*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 y when two letters picked without replacement from yyygygyygrygggy?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1138095.\nAnswer: 3, 5, 7, 3613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -7*j**3 - 225*j**2 + 17*j + 1539. What is n(-32)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23.5 - 31. Let x = -8 - q. What is the second biggest value in -0.2, -5\/6, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (20*(164\/12)\/(-41))\/(2\/4)\nAnswer: -40\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2267545753 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 + 12*p - 2. What is z(12)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - (-5 + 3\/((-3)\/(-2))). Suppose 184 - 565 = -l*p. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 24 = -14 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (162 + (-69580)\/426)\/((-4)\/(-162)*-3)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3439 + -649973\/189. Let l = -209\/1890 - y. Let r = 10 - 7. What is the smallest value in 1, l, r?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*m + 4*m + 0*m)*(0 + 2 + 1) in the form f + d*m and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52 is divided by (4\/(-10))\/(2 + (-1208)\/600).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + 2*d - 6. Put 3, -4, d, -0.3 in increasing order.\nAnswer: -4, -0.3, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 28*w + 38 + 326 for w.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.4, -4, 0.0422, -0.08, 21?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 148 - ((24 - 16 - -1) + -17 + 16).\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/6 + 44\/12. Let s be -3*(f + 8\/(-2)). Solve 0 = 4*d - s - 5 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 77, -36, -3, 0 in descending order.\nAnswer: 77, 0, -3, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 7:35 AM?\nAnswer: 12:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from tgttgtglt.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) 0.3 (c) 1 (d) 9.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n + n - n)*(10 - 6 - 11)*(-712 - 915 + 30).\nAnswer: -22358*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, p: 6, r: 1, t: 6, l: 1}. Give prob of picking 1 l, 1 y, 1 p, and 1 r.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -203*z + 97*z - 4*a - 49 = -107*z, -5*a + 33 = 2*z for z.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -28.8 + 52.2. Let q = 6 - w. Round q to the nearest integer.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.4262358 decades?\nAnswer: 0.004262358","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21.4, 3, 3\/5, 4 in decreasing order.\nAnswer: 4, 3, 3\/5, -21.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2813, -4092, -5307, -6458, -7545?\nAnswer: -8568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -3*s**3 + 72*s**2 - 12*s + 328. What is z(24)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -155122055, -310244114, -465366173?\nAnswer: -620488232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 5*d = -5, 1759 - 1748 = 4*g - 3*d for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 - 18*v**2 + 15*v + 30. Let g be p(17). Sort g, 4, -18.\nAnswer: -18, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 12 = -4*j. Let u(w) = -3*w**2 - w - w**3 - 3 + w - 2*w + w. Let g be u(j). Solve 2*s + 0*s = g for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 153, 170, 163, 108, -19, -242, -585, -1072?\n\"Answer: -4*o**3 + 12*o**2 + 9*o + 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5981 divided by 2.\nAnswer: 5981\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3754?\nAnswer: 2, 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/15 of a minute in milliseconds?\nAnswer: 32000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (56\/(-112))\/(0 + 3\/(-12))*78. What is the greatest common factor of g and 1326?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 12 = 5*v, -3*v - l + 32 = 29 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1508 divided by -6.\nAnswer: 754\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20 - -20. Let k be (1 - g) + (5 - 9). Which is the second smallest value? (a) -3\/2 (b) k (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1205*f - 7 = 7*m + 1209*f, -f + 3 = m + 1 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 567*b + 32. Let r(c) = -11. Determine j(n) + 3*r(n).\nAnswer: 567*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (708\/1180)\/((-2)\/(-10))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -5 + (-6*(-6*(sqrt(52) + sqrt(208)) - (1 + (sqrt(52) - (sqrt(52)*3 + sqrt(52) - sqrt(52))))))**2 + 2.\nAnswer: 2304*sqrt(13) + 479261","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 372*l**2. Let y(f) = -562811*f**2. Calculate j(y(d)).\nAnswer: 117833314480212*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -22*z + 62. Let q(d) = 7*d - 21. Suppose 50 = 3*y - 2*t, 17*t + 30 = 2*y + 19*t. Give y*q(p) + 5*s(p).\nAnswer: 2*p - 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12 in 2\/9, 2\/7, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 23.899 (c) -3 (d) -268\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a*a**10*a)\/a)\/a*a**(3\/11)*a*a*a\/a**(1\/14)*a**(1\/2)*a)**(-42) assuming a is positive.\nAnswer: a**(-7254\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 410 and 25748.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -5*r + 11, -1 = 5*r + 4*a + 6. Suppose 3 + r = s. Let x be -2*(-1 + 1 - 1). Solve -c = 3*o - 13, -s*c + x*c + 14 = 2*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a centimeter in micrometers?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -0.3 (b) 4 (c) 360 (d) -5\/4 (e) -0.055\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8018795?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 55646582.9 to the nearest 1000.\nAnswer: 55647000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 - 2\/22*2994. Let u = a + 273. Suppose 5*m - 4*m = 2. What is the nearest to -1 in -1, m, u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -87595, -113337, -156247, -216331, -293595, -388045?\nAnswer: -499687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -22, -70, -3\/4, -51 in descending order.\nAnswer: -3\/4, -1, -22, -51, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 2 + -1 + 1 - 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9*c**3*k*o*v + 21*c**3*o*v - c*k*o + 4*c*k*v - 8*c*o - 2*o*v wrt k?\nAnswer: -9*c**3*o*v - c*o + 4*c*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 2*p - 19 - 32, 5*r + 69 = -2*p. Let m be r\/2*(-8)\/12*1. Solve 4*j - 13 = t - 0, -m*t = -15 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -3*r**2 + 7*r + 2. Let q(y) = 7*y**2 - 14*y - 4. Let g(c) = -6*q(c) - 11*w(c). Suppose g(x) = 0. What is x?\nAnswer: -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1223 (base 9) to base 7.\nAnswer: 2442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 483 (b) -4 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-262)\/(-4)*(0 - 2). Let b = 215 - 26. Let x = c + b. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/3)\/f)**16*((f**(-1\/2)\/f)\/f)\/f**(1\/2)*(f**3\/(f\/(f\/(f**(-1\/6)*f))))\/(f**1\/f)**(-17\/7) assuming f is positive.\nAnswer: f**(-133\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 + 12*c**2 - c + 8. Let v(n) = -n - 4. Let m be v(8). Is y(m) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 + m - 1 - 1 + 3*m - 2*m - 3*m + (-m + m + 2*m)*(-2 - 2 + 6) + 14*m + 0 + 0.\nAnswer: 17*m + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1809281941 to the power of 1\/2, to the nearest integer?\nAnswer: 42536","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -3 - 3*v**2 + 0 + 5*v**3 - 16*v**3 + 9*v**3. Let b(a) be the first derivative of -5*a**4\/4 - 8*a**3\/3 - 9*a - 53. Give -3*b(c) + 8*n(c).\nAnswer: -c**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*g - 879*g - 134*g)*(-2 + 2 + 6*g).\nAnswer: -5982*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 1107262\nAnswer: -5536310","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/6 - 74\/(-6). Let o(y) = 2*y - 9. Let r be o(6). Suppose r*b = -b + p. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, c: 1, s: 1, o: 5, k: 6, g: 2}. Give prob of sequence sce.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 35.19 + -35.3. Put n, -0.4, 5, -5\/6 in ascending order.\nAnswer: -5\/6, -0.4, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/635158 and -57\/232?\nAnswer: 2540632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 at least as big as -8070?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 644813173 to the power of 1\/5, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 977\/14 + -139\/2. Let t be (6\/2 + -1)\/10. Which is the closest to x? (a) -1 (b) -5 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/6839844 and 127\/621804.\nAnswer: 6839844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3, -8, -23, -54, -107, -188, -303, -458?\n\"Answer: -b**3 + b**2 - b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-444)\/(-2220))\/(12 + -15 - (-3)\/2)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) -0.4 (c) 5 (d) 2 (e) 3 (f) -88\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 80.41445 litres to millilitres.\nAnswer: 80414.45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 67?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7245.\nAnswer: 3, 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 AM and 7:56 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13 and 58253.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1653090, 1653105, 1653120, 1653135, 1653150, 1653165?\nAnswer: 1653180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 4) in base 8?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 5, 14, -0.06, -1.8, -1 in ascending order.\nAnswer: -1.8, -1, -0.06, 0.4, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6433977 litres to millilitres.\nAnswer: 643.3977","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 275*v + 2382. Let g be w(44). What is the greatest common divisor of 52 and g?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, w: 1, y: 1, e: 1, f: 1, a: 2}. Give prob of sequence yvw.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -114*k + 26*k**3 - 115*k + 19*k**3 - 123*k + 352*k.\nAnswer: 45*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -61 + 31. Let o = q + -42. What is the remainder when 22 is divided by (0 - 1)*o\/6?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 154\/28 - (-2)\/(-4). Let k(p) be the first derivative of -11\/2*p**2 + 0*p - t. Let w(i) = -2*i. Determine k(w(j)).\nAnswer: 22*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-7))\/m**(2\/15)*m**(3\/5)*m**(-2\/19) assuming m is positive.\nAnswer: m**(2383\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*(-14)\/(-637) + (-2)\/(-13).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 - 9. Suppose 12*y = 11*y + p. Suppose 12\/5*f**y + 18\/5*f**3 + 0 + 12\/5*f**4 + 3\/5*f + 3\/5*f**5 = 0. What is f?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -173, 18753.\nAnswer: -173, -4, 18753","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2710? (a) -0.2 (b) -5.92 (c) 4 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 y when three letters picked without replacement from {u: 2, k: 3, y: 7}.\nAnswer: 63\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 11*f = -63, 28*n + 6 = 32*n - 3*f for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -387*t**2 + 198*t**2 + 18*t**2 - 558*t**2.\nAnswer: -729*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 36833 to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((-2*sqrt(190)*-2)\/((3*sqrt(110))\/sqrt(11)))**2.\nAnswer: -304\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 PM and 1:38 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 2*x + 15, -2*k + 181 = -5*x. Is 24 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*x - 2*z + 4, 3*x - 3*z + 6*z - 3 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98 - 100 = 18*m for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from veeeveevtvveevtee. Give prob of picking 1 v and 1 t.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 7 - 28 = 0. Is -6 != o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/5*(-24)\/4)\/(15\/(-25))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -33.12 + 23.12. What is the nearest to -0.2 in -0.032, t, 1\/3?\nAnswer: -0.032","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 minus -0.11886196081?\nAnswer: 16.11886196081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3136531 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1503 and 167.\nAnswer: 1503","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2*b**2 + 13. Let l be d(2). Factor 3545 - 3585 + 50*u + u**3 - 5*u**2 - l*u**3 + u**3 - 2*u**3.\nAnswer: -5*(u - 2)*(u - 1)*(u + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*x - 723169 = -723294. Let s(t) = 2*t**3 + 7*t**2 + 9*t - 5. Let m(v) = -3*v**3 - 10*v**2 - 13*v + 7. Let o = -8 + 1. Calculate o*s(n) + x*m(n).\nAnswer: n**3 + n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 + -1)\/((-5)\/15). Let c be ((-122)\/b)\/(17\/2550). Round c to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + ((sqrt(768) + 0 + 3 - sqrt(768)) + -5 + (2*sqrt(768) - sqrt(768)) - -3*(-4 + 1 + sqrt(768) + sqrt(768))) + -1)**2.\nAnswer: -2912*sqrt(3) + 37801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1316 is divided by 1304?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1448*k + 183*k - 305*k.\nAnswer: 1326*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 3*p + 485, 17*p + 1415 = 3*v + 16*p. Let a = 479 - v. Solve a*c = -0*c + 18 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 - 13*o**2 - 10*o + 23. Give a(-12).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1228679 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 233623895 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -43*d**2 - 2151*d - 57. What is j(-50)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3\/10, 6, 214, -2, -1 in decreasing order.\nAnswer: 214, 6, -3\/10, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 2 - 91*i**3 - i**2 + 0*i - 2*i**2 + 3*i + 98*i**3. Calculate the remainder when a(2) is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 80 = -405. Calculate the greatest common factor of 13 and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -13, -0.2, -2\/3, -0.299?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44\/20 + -2 - 18\/15.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5018171 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 12419.4 rounded to the nearest 1000?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-33)\/(2673\/18))\/((-2)\/(-4)*4\/48)?\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/164471190 and 129\/875270?\nAnswer: 1809183090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = o - 5*o. Let c(k) = -k - 1. Let g(z) = -3*z + 13. Let a(r) = o*c(r) + g(r). Determine a(0).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/38 and -113\/190.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 + a - 4. Suppose -6*s + 4*s = -30. Let t = 15 + s. Let u be 10\/2*(-18)\/t. Give b(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 86168*c*h**3*i - 339*c*h**3 - 124255*c*i - 4*h**2*i + 114*i wrt h?\nAnswer: 517008*c*i - 2034*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 99 = 2*m. Let r be (-12)\/(-42) + 11\/((-462)\/(-240)). Suppose r*v - 7*v = -m. Does 11 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p - 4*p - 2*p**2)*(2 + 0 - 3) - 5*p + 4*p - 30*p**2 + 7*p**2 + 5*p**2 - 5*p**2 + 2*p**2.\nAnswer: -19*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 15\/6 + -3 + (-1026)\/12. Let g = 103 + f. What is the remainder when 29 is divided by g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.4 or -24838554?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1b0b6a (base 13) in base 3?\nAnswer: -1021220221200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 24726\/5 - 4927. Let f = j - 1011\/55. Which is smaller: -2\/17 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7414632ng in tonnes?\nAnswer: 0.0000000000000007414632","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from grrggg. What is prob of picking 2 g and 1 r?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -2*j**2 - 25*j + 125. Let a be s(4). Let i(l) = 3*l**3 - 10*l**2 - 13. Let v(g) = -2*g**3 + 7*g**2 + 9. Determine a*v(u) - 5*i(u).\nAnswer: -u**3 + u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 16. Suppose 0*h = 2*b - 2*h - 12, -20 = -4*h. Calculate the least common multiple of b and (-32)\/(-20)*q\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-40)\/14)\/4*(-9)\/15.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 190*(-6 + 39\/6). What is the greatest common divisor of j and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9\/15*(-39)\/26*(-2)\/(-3)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -101*b - 8. Let i be c(-3). Suppose 11*r = 1300 + i. List the prime factors of r.\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -127, 0.3, -1, -0.2 in decreasing order.\nAnswer: 0.3, -0.2, -1, -4, -127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 q when two letters picked without replacement from qqaqaaaaqqqq.\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + (2 - 4) + 7. Suppose -d*q + 3*q = -6. What are the prime factors of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5185, 7565, 4351, -7253, -30043, -66815, -120365, -193489?\nAnswer: -288983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 75 (b) 5 (c) 2\/11 (d) 0.3 (e) -67 (f) -2\/17\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b - 9. Let q be i(27). Suppose -4*g - 1 = f - q, 2*g + 3*f = 21. Solve 5*m - 20 = -5*y, -5*m + 0*m + 28 = -g*y for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-10)\/4 + 2)*172. Let f = l + 97. Which is the second smallest value? (a) f (b) -1\/6 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/14 and -27\/202916.\nAnswer: 202916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(108) + (sqrt(108)*1)**2 + 2.\nAnswer: 6*sqrt(3) + 110","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10160538?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from vevv.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 36346 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: (2408\/30)\/(-28) + (1 - 2\/(-1))\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 + 4*g**2 - 13*g - 35. Calculate q(-6).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158 is divided by 33.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 4*v - h, -2*v = -h - h + 14. Let u be (-1)\/3*6\/v. Let i = -36.6 - -33.6. Which is smaller: i or u?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -61014 divided by -3.\nAnswer: 20338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 52397593 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000781228 to 6 dps.\nAnswer: -0.000078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, -0.3, -6\/6133, 4\/7, 0, 1 in decreasing order.\nAnswer: 1, 4\/7, 0, -6\/6133, -0.3, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4187215298 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9266286kg in nanograms?\nAnswer: 926628600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r**(-14)\/r))\/r**(-1\/9))**(8\/5) assuming r is positive.\nAnswer: r**(232\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 - 9*t - 14. Let r be s(-13). Let w = -35 - r. Let k = -13 + 24. What is the remainder when w is divided by k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4832402*l + 2416019*l + 15*l**2 + 2416383*l.\nAnswer: 15*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 26*a - 10. Let o(l) = -51*l + 21. Let z(y) = 9*i(y) + 5*o(y). Let c(t) = -5*t + 4. Determine 15*c(b) - 4*z(b).\nAnswer: 9*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -3\/2, 2\/9, 0, -2\/17?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 - 11*s**2 + 11*s - 13. Let d be r(10). Let c = d + 13. What are the prime factors of c?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*q - q - 4*q)*(-q + q + 2*q**2) + 0*q**3 + 2*q**3 - 3*q**3 as o + j*q**2 + r*q + i*q**3 and give i.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t**2. Let o(c) = -195325*c. Give u(o(n)).\nAnswer: -76303711250*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -675 + 440. What is the common denominator of 13\/21 and 56 + -52 - u\/(-56)?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -92 - -127. Suppose 3*d + a = 2*i - 4*i, -3*d = i + 19. Does 9 divide (-3 - 1) + (-3 - i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -13 + -4 - -1 - -25?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 - 2 - 373675\/25. Let b = -287 - m. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 935, 928, 921?\n\"Answer: -7*h + 942","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (20\/8)\/((-140)\/(-2296)). Calculate the greatest common divisor of 287 and b.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-72)*9\/(4\/4)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = -4*n + 3, -4*j = -9*j - 4*n - 1 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 59591573 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1575 divided by 75?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = a - 2*m + 4, -4*a + 3*m = 6. Suppose -2*n + a*d + 30 = 5*d, 3*n + 4*d - 38 = 0. List the prime factors of n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 + 2*y - 1. Let l be f(-3). Suppose 5*u + 4*i + i - 50 = 0, 1 = -l*u + 5*i. Let r = 7 - u. Solve 6*p - p - 20 = r, 5*p - 17 = -3*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - 53 - (2 + -30 + 60 + -46).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1481*s**4 - 2836 wrt s.\nAnswer: -5924*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 64553 - (28\/(-3))\/((-8)\/(-6)) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/9 - 1196*s\/3 - 178802.\nAnswer: -2*(s + 897)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23 - -14) + 1 + 6 + -12 + 2?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**1)**45*(l*(l\/l**4)\/l)\/(l\/(l*l**(-2\/9))))**(2\/7) assuming l is positive.\nAnswer: l**(752\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 24929209 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7011 is divided by 115?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 382 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {c: 7, u: 1, w: 7, t: 1}?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a5da0 (base 15) in base 10?\nAnswer: 1285575","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -260298 and 26?\nAnswer: -6767748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-3*26\/(-273))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(243) - (sqrt(243) + (4 + sqrt(243) + 1)**2))*-5 - ((sqrt(243) - (sqrt(243) - (0 + sqrt(243)*-2))) + sqrt(243) + (-1 + sqrt(243))*3)) + -5 + 5.\nAnswer: 432*sqrt(3) + 1343","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ajajqaqq. What is prob of sequence jq?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 634610 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: What is the next term in 27, 25, 13, -15, -65, -143, -255?\nAnswer: -407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from {c: 2, f: 9, e: 6}.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 60676\/19 >= 3194?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 9*o + 147. Let b be i(-16). Let z(g) = -g**3 + 4*g**2 - g + 4. Give z(b).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -52*x - 108. Let g(m) = 14*m + 1. Let h(i) = 5*g(i) + j(i). Give h(9).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8 - -1bdbc?\nAnswer: 1bdc6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 5*m + 5 = 0, 4*q - 2*m = -4589 + 4603 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*x + 18*x = 25. Let d(t) = -t - 1. Let r be d(-4). Suppose 3*z - 5*m + 18 = 0, -x*m = -z - r*z - 19. Sort -3, z, -4 in decreasing order.\nAnswer: z, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of -z**4\/12 + 120*z - 1. Let h(g) = -33*g**2. Determine h(r(q)).\nAnswer: -33*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -382 - -444. Is x > 0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k + 144 - 260*k**3 - 260*k**3 + 503*k**3 to the form b*k**2 + y*k + c*k**3 + d and give d.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 557869061?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 - 6*y**2 + 3*y - 3. Calculate g(-5).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 + 5\/(-6 + 11) - -124. Suppose -i + 171 = 7*m. Solve q + m*q = 14 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of 0*p + 0 + 1\/24*p**6 - 5*p**2 + 0*p**3 + 1\/60*p**5 + 0*p**4. What is the third derivative of m(o) wrt o?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -1 + -6 - -2 - -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 + 2*g**2 - 1. Suppose 2*n = -n + 15. Suppose -4*o = -7 - 5. Suppose -o + n = s. What is i(s)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5814916.1 and -0.1.\nAnswer: 5814916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 114 + -167. Let n be p\/11 + (-10)\/55. Let x(f) = 2*f + 4. Calculate x(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8660985*z + 11205861?\nAnswer: 8660985","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.34 + -24.66. Let v = j + 24.5. Which is the second biggest value? (a) -1\/7 (b) v (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12 + -31?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1666*o - 1670*o + 145600 = 0. What is o rounded to the nearest one thousand?\nAnswer: 36000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**4 - 3683*k**3 - 3392963*k**2 - 3389281*k.\nAnswer: -k*(k + 1)*(k + 1841)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/((-2 - -4) + 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and 239524.8?\nAnswer: 71857.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7455 - 7335 = 12*l for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b + 10. Let p be c(8). Let w be 7\/(-5) + p\/5. Let g be (-3)\/9 - (-1)\/(-3). What is the nearest to w in g, -0.2, 0.2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-4)*n\/(n**(-2\/27)*n)*(n**5*n)**(7\/13) assuming n is positive.\nAnswer: n**(-244\/351)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 8 = 0, -2*d - 142 = -3*z - 6*d. Suppose 13*t - 11*t - z = 0. List the prime factors of t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1150 + -1150.043584. What is z rounded to two decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121*o + 75*o - 368 = 0 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*a**2*b**2 + a**2*b + 5*a*b - b**2 - 4 wrt a?\nAnswer: -4*a*b**2 + 2*a*b + 5*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1351 and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17040\/4483 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*n = 15*n + 16. Solve k = -3 - n for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2*z**3 + 11*z**2 + 721*z - 2923. Give u(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1*-317\nAnswer: -317","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/270 and 11\/216.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 83224 - -156661.\nAnswer: 239885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 6*x = 19. Suppose -4*o + 537 = -183. Suppose 0 = 8*f - 3*f - o. What is the remainder when f is divided by x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11.61 in 4, 1\/6, 0.015, 1\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5919 + 5921. Put x, -9, -35, -5, 0 in descending order.\nAnswer: x, 0, -5, -9, -35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 8:29 AM?\nAnswer: 3:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = -2*b + 42, 42*j - 80 = 3*b + 37*j for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -4*i + 20. Suppose i = -z + 51. What is the remainder when z is divided by -1*4*13\/(-4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*y + 23*y - 15*y + 3 + 9*y**3 to the form r*y + t*y**2 + o + b*y**3 and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10 - 532?\nAnswer: -522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -25*u**2 - 296*u - 604. Let z(t) = 7*t**2 + 98*t + 200. Let i(a) = 2*v(a) + 7*z(a). Factor i(c).\nAnswer: -(c - 96)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 495 and 6600?\nAnswer: 19800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 0.023 (c) 0 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 73198921 to the power of 1\/3, to the nearest integer?\nAnswer: 418","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kgmbgmx. Give prob of sequence bmg.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1189?\nAnswer: 29, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 5:26 AM?\nAnswer: 6:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1029\/1323)\/(2\/18). What is the greatest common divisor of m and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of 0*i + 5\/4*i**5 - 5*i**2 + 0*i**3 + 1\/12*i**6 - 1\/210*i**7 - 12 - 1\/12*i**4. Find the third derivative of y(v) wrt v.\nAnswer: -24*v + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 835.6 - 320.5. Let n = h + -515. Let d be (1*-1)\/((-10)\/4). What is the nearest to -2\/9 in -4\/5, n, d?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -350 - 2*b**3 + 1121 - 354 - 417.\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 2*f - 4, -2*f - 4 = -0*f. Let z be ((-2)\/c)\/(-5 + 4). Sort 0.4, -0.2, z in increasing order.\nAnswer: -0.2, 0.4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/40 of a tonne?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 46322603 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of k**3 + 1\/20*k**6 + 3\/8*k**5 - 3*k + 0*k**2 + 0 + k**4. Factor s(f).\nAnswer: 3*f*(f + 1)*(f + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/(-30) - (-22 + 18) and 67\/30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 187*y + 0*y**3 - 2*y**3 - 205*y as l*y**2 + m + u*y + i*y**3 and give u.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-3*((1*(sqrt(275) - 2*sqrt(275)))**2 - (sqrt(275) - (sqrt(275)*1*-3)**2)).\nAnswer: -33000 + 60*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(272))*-5 + 5 - (5 + (sqrt(272) + 0)*4))**2.\nAnswer: 360*sqrt(17) + 22057","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = p + 3*p + 10 - 30 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 21 + 3 = -5*z, 2 = z + q. Let y = -1 + z. Suppose -d + 2*a - 6 = -22, 2*d + a = 32. Solve -6*j = -y*j + d for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -89, 6, -231 in descending order.\nAnswer: 6, -89, -231","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -119 - -121. Suppose 11 + 10*q**3 - 449 + 1385*q - 30*q**3 - 94*q**2 - 481*q**o + 128 = 0. Calculate q.\nAnswer: -31, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 69 or -919?\nAnswer: -919","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 1)*(-f + f + f + (3*f + 2*f - 4*f)*(1 + 2 - 1) + 13*f + 6*f - 9*f).\nAnswer: 26*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 2*y**2 + 4*y - 3. Let k(i) = i**2 + 3*i - 3. Calculate 3*f(c) - 4*k(c).\nAnswer: 2*c**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 250*q**3 + 2*q**2 + 7*q. Let f(k) = -4*k**3 - k. Let g(b) = 6*f(b) - h(b). Is g(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 15) to base 13\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 55 + -80. Let o be -9 + a\/(-5) - 6. Is (0 - 365)*4\/o a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d**5 - d**2 + d**2 + (d - d + 2*d)*(d**4 - 3*d**4 + 3*d**4) - 3*d**5 + 7*d**2 - 4*d**2 - d**2 + 22*d**5 - 9*d**5 + 14*d**5.\nAnswer: 25*d**5 + 2*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 - 11*o**2 - 3*o - 15. Let i be p(-11). Suppose -2*l + l = -i. Let a = 35 - l. List the prime factors of a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, n: 4, g: 1, z: 1, c: 1}. Give prob of picking 2 n and 1 d.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 867239*c**2*i**2*p**2 - 2*c**2*i**2 + 118*c*i**2*p**2 - 859*c*i*p**2 + 3*i*p**2 wrt c.\nAnswer: 1734478*i**2*p**2 - 4*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2483*d - 2483*d - 15*d**3.\nAnswer: -15*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.00978779 + -0.0098. Round a to 6 decimal places.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qlql when four letters picked without replacement from {q: 2, l: 10}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*s - 58 - 85 + 116. Suppose -9*k = -8*k. Sort -4, k, -10, s.\nAnswer: -10, -4, s, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3017016, 6034041, 9051076, 12068121?\nAnswer: 15085176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*o + 9 = 9 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -6*r. Suppose -c - 972 = -4*c. Let l(o) = -2*o**2 + 324*o - c*o. Give l(q(d)).\nAnswer: -72*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(-2)*(-48)\/(-9). Let u be (1 - (1 - 3)) + -5. Let z = u - o. What is the highest common factor of 6 and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 11) to base 6\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/5402 and 2\/73?\nAnswer: 5402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x**2 - 8 + 1 - 2*x**2 + 6*x**3.\nAnswer: 6*x**3 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -31330 or -31380?\nAnswer: -31380","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 0*a = 10 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 102 divided by -16\nAnswer: -51\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 407*h*u**4 + 8*h*u**2 + 1300*h - 2 wrt u.\nAnswer: 1628*h*u**3 + 16*h*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1114463?\nAnswer: 7, 159209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times -7576041?\nAnswer: -22728123","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2*i - 8. Let c be o(13). Let z = 7 - c. Let g = -9 - z. Solve 5*a + v - 26 = 0, 0 = -g*v + 2 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 151 + -151.04. Round a to 2 decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 + 21 - 0) + 3 + -5 + -41?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 3*c = 286. Let a(l) = 19*l - 93. Let v be a(5). Suppose -2*k - 3*r + c = -v*r, 217 = 3*k + 2*r. List the prime factors of k.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/332815 and 43\/599067?\nAnswer: 2995335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 408462, 816921, 1225376, 1633827?\nAnswer: 2042274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.67 at least 30512?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36956, -31, -14 in descending order.\nAnswer: -14, -31, -36956","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7.862 - 8. Let i = k - -0.1222. Let j = 0.2728 + i. What is j rounded to 2 dps?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 4 = -0*p. Suppose 17 + 11 = p*b. Is b a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.2 + -0.2. Let t be (1\/(-12))\/(1\/(-2)). Which is the biggest value? (a) t (b) 1\/2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 3*y = 0, -2*u - u = -y. Solve -4*b + 0*b - 8 = u for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 2*t + 13954 = -2*b, -4*t - 3*b = 13949. Let q = 5320 + t. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.02847 from -26.\nAnswer: -26.02847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4302586953?\nAnswer: 3, 7, 1051, 9283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*n**2 + 14*n**3 + 2*n**4 - 2 - 23442*n + 23441*n + 2*n**2 in the form u*n**3 + m*n**4 + x*n**2 + c + k*n and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-26)\/78)\/(((-4)\/(-30))\/(-2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 11) to base 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 38\/10 - (-40)\/(-50). Determine v, given that 2\/11*v + 0 + 0*v**2 - 2\/11*v**x = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1 - 0.2. Let v = -0.100008 - s. Let z = v + 0. Round z to six decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 + 70 = 4*x. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00118645652 to four dps.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of -k**4\/4 + 5*k**3 - 27*k**2\/2 - 13*k. Factor d(g).\nAnswer: -3*(g - 9)*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4074 and 7881832.\nAnswer: 1358","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 0*x + 212 = -2*x, -86 = -2*w - 4*x. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.1 (b) -3030 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 + 518*b - 65939. What is t(225)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of 21\/16*s**4 - 3\/8*s**2 - 1\/2*s - 2 + 5\/3*s**3. Factor l(v).\nAnswer: (v + 1)*(3*v - 1)*(7*v + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 4 = 0, 4*t = -d - 0*t + 4465. Let r = -13562\/3 + d. Let c = r + 52. Sort -0.1, 4, c, 2 in ascending order.\nAnswer: -0.1, c, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -485 + 485. Let h(n) be the second derivative of -1\/3*n**4 - 1\/10*n**5 + 6*n + 0 + 0*n**2 + y*n**3. Find the third derivative of h(r) wrt r.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/50 of a litre?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -2*u + 27, 0*u + 2*u - 17 = -3*d. Let f = d + -5. Let x = 11 - 8. Is f less than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -2*m + 16. Let b be a(7). Let r(w) = -7*w + b + 24*w**2 - 17*w**2 - 8*w**2. Let h = 13 + -19. Give r(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one quarter of a meter?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 52*s - 1. Let n(o) = -3*o**2. Give i(n(b)).\nAnswer: -156*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25418 is divided by 6353?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 2*z + 5 = 4*r, -3*r + 3*z + 30 = 0. Suppose 5*m + 3*y - 3 = m, 4*y = m + 23. Sort m, r, -4 in decreasing order.\nAnswer: r, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 - 6*k**2 + k + 22. Let o be s(5). Let b be ((-28)\/49)\/(o\/7). Is -27\/10 at least b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 13203?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -30 - -28. What is the second smallest value in -4\/5, 1, j?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 356441 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of s**6\/24 + s**5\/5 + 3*s**4\/16 - s**3\/3 - s**2\/2 - 53. Solve h(t) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*z - 21*z = 54800000. Round z to the nearest 1000000.\nAnswer: 55000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 182\/(-4)*(68322\/(-1351))\/(-177)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*j = -84188 - 237204. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ejaa when four letters picked without replacement from aaajjeejjaejj.\nAnswer: 9\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -19*l**2 + 851*l - 11. Let h be a(11). Solve 7054 = 3*s + h for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14972 + 16565. What is the highest common divisor of 1357 and l?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6975 (base 13) in base 7?\nAnswer: 61101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + 23 - (5 + 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*i + 5. Let t = 2.5 + -2. Which is the third smallest value? (a) -1 (b) i (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1078052*h + 1073831*h + 0*h**2 + h**2.\nAnswer: h**2 - 4221*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -1\/5 (c) 0.07 (d) -5 (e) 1 (f) -0.06 (g) -120\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 934543211 to the power of 1\/4, to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93 is divided by 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -209*i**2*j**3 + 5*i*j**3 - 12*i*j**2 - j**3 wrt i.\nAnswer: -418*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 380973009?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 6 = 0, -3*o = -37000*f + 36995*f + 24 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 + 9*z**2 - 11*z - 12. Let m be o(-10). Let c be (-4 - -7) + 2 + m + -1. Suppose t = -3*v + 89, 4*v + 25 = c*t + 127. Is v a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(288) - sqrt(2) - sqrt(6)\/sqrt(3)*2) + 1*sqrt(288) + sqrt(6)\/sqrt(3) + 2)**2.\nAnswer: 88*sqrt(2) + 972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.27 - -5.22. Let t = g - 7.02. What is t rounded to 1 dp?\nAnswer: -3.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -59 - -61. Let j(x) = 4*x**3 + 6*x**2 - 4*x + 3. Let s be j(n). Suppose -59 = -5*h + s. List the prime factors of h.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 883 - 878. Let l be 240\/320 + f\/4. Factor -8\/9*r - 2\/9*r**l - 2\/3.\nAnswer: -2*(r + 1)*(r + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-4 + ((sqrt(500) + -2 + sqrt(500))*-4 - (-2 + 2 + sqrt(500)))).\nAnswer: -180*sqrt(5) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 474\/1087? (a) -5 (b) 1\/2 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*t = -33 - 35. Put 3, 30, 0, t in ascending order.\nAnswer: t, 0, 3, 30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3a7b + -179b?\nAnswer: -5327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 152559\/3082*(-18)\/33?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -2103*v - 454. What are the prime factors of q(-21)?\nAnswer: 109, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 671*z**2 + 3673*z**2 + 16962*z**2 - 2925*z**2.\nAnswer: 18381*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 53201*l**3*z - 4*l**3 - 1095*l*z + 13*l + 3*z wrt l.\nAnswer: 319206*l*z - 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 8414399 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-62)\/(-16))\/((-5)\/6) and (-30785)\/(-11004)*(-9)\/30?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/7)*s)**(2\/79)\/(s*s**(1\/3)*s*s\/s**(2\/15)) assuming s is positive.\nAnswer: s**(-8798\/2765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 12343 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - -5)\/3 - 0. Let p(c) = -c**2 + 60*c + 334. Let g be p(65). Solve g*m = 10*m + d for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -226\/275 - -16\/25. Which is the third smallest value? (a) 0.2 (b) -23.8 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - (-1170)\/200) + 44\/(-440)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*(-1)\/(7*-1). Let m be 35\/1365*8*3\/(-18)*(-9)\/(-2). What is the closest to -5 in -0.5, m, f?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-340)\/(-15)*((-45)\/12)\/(-5). Solve -5*o - 13 = 3*m + c, 0 = -m + 3*o + 4 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 3*y = -0*y - 43, -4*y = 2*o - 34. Suppose -o*v - 63 = -14*v. Solve -4*h + v*h + 25 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 AM and 4:54 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*p + 70*p = -1358. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 2:58 AM?\nAnswer: 5:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 201, 925, 2123, 3789, 5917?\nAnswer: 8501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 - 8. Let j(a) = 616667*a - 2. Let b be j(w). Round b to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 12:26 PM?\nAnswer: 10:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(1029) + -2*sqrt(1029) - sqrt(21))\/(sqrt(175)*1).\nAnswer: -8*sqrt(3)\/5 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (219738\/54)\/((-10)\/(-90)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - b = 6*p - 54, 5*b = 5*p - 30. Let i(o) = -o**3 + 9*o**2 + 11*o - 7. Let g be i(p). Suppose -3 + 1 = -g*j - 4*m, -3*m = 12. Is j a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 252595 and 8545?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, u: 1, e: 4}. Give prob of picking 2 e.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(300) + 0)*-3)**2*4 + (sqrt(300)*1)**2*-4 + 0.\nAnswer: 9600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (649\/33)\/(3\/873) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21 + -15. Let a = x + -4. Solve -a - 2 = -f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 419.041 rounded to the nearest ten?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-3\/4)\/(s*s*s**(-20)\/s))\/((s\/s**25)\/(s**(1\/6)\/s)) assuming s is positive.\nAnswer: s**(497\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.26 take away -0.081?\nAnswer: -1.179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 26*j + 266. Let z(u) = -53*u - 442. Calculate 10*p(g) + 6*z(g).\nAnswer: -58*g + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20088120 and 5408340?\nAnswer: 140616840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 28433\nAnswer: 1\/28433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, -929 in increasing order.\nAnswer: -929, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.375998 litres in millilitres?\nAnswer: 1375.998","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 103. Let n(d) = -129. Let f(s) = -5*c(s) - 4*n(s). Let t(h) = -9*h - 7. Determine 5*f(m) + t(m).\nAnswer: -9*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(5040) + sqrt(5040))\/(sqrt(28)*-3).\nAnswer: -6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kq when two letters picked without replacement from qkkkkkrrkkkqqdrkkkqk?\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p = -2*q + 54 - 84, -3*q - 19 = -2*p. Which is the closest to 0.03? (a) q (b) 0.1 (c) 2\/61\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 61 - 2*b - 27 - 29. Let i be 8\/1*4\/8. Give a(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.0479 (b) 55\/37 (c) 8\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 571 = 609. What are the prime factors of v?\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3324583?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 - 4*u. Let g be v(3). Let h(q) = 12*q**2 - 3*q + 2. Is h(g) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1\/386 + -97\/193. Let m = 0.03 - -1.97. Let t = -5.0931 - -0.0931. Which is the nearest to v? (a) 20 (b) m (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24544 (base 6) to base 5.\nAnswer: -104124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 817 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*g + 101 - 101 to the form q*g + c and give q.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 3592.\nAnswer: 3592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2 + 2 - h)*(0 - 1 - 1) + 2 - h - 2 + 4*h + 1 - 1)*(-5*h + 11*h**2 - 2003 + 2003) in the form r*h + n*h**3 + z*h**2 + f and give n.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -3*t - 3*c, c - 34 = 4*t - 7*t. Calculate the smallest common multiple of 4 and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/sqrt(4))\/sqrt(3) + -6*(sqrt(7) + 4) + -5.\nAnswer: -29 - 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7478248 or -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10498, -18666, -26838, -35014?\nAnswer: -43194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -p - l + 13, -21 = -5*p + 2*l. Suppose -w - 6 = -4*w. Let m = -1 + 6. Solve 0 = -c + w*c - 2*a + 1, -c = -p*a - m for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 687.11764 - 6.10864. Let a = z - 684.0089975. Let r = -3 - a. Round r to 6 decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 86364 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(-15) - 248\/(-20). Suppose -3*s + c = -9. Solve 3*r - s + 1 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6644800 and 4160?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2760873343 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.03822 centuries to months.\nAnswer: 3645.864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6506*a**3 + 17844*a**3 - 15 + 15.\nAnswer: 11338*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a litre in millilitres?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 2*h**2. Let a(t) = -t**2 + 9*t - 9. Let i be a(8). Let n be 1\/(i - (-6)\/5). Let z(b) = -n*b**2 + 6*b**2 + b**2 - 5*b**2. Give j(z(x)).\nAnswer: 18*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 7*z + 68. Let n(k) = 10*k + 102. What is 5*n(u) - 7*o(u)?\nAnswer: u + 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -1. Let f(m) = -m**2 + 6*m + 4. Let p(v) = f(v) - 3*s(v). Let c be p(5). Suppose -c*h + 41 = 5. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -31 - -63\/2. Let v = -0.24 - 27.76. Let w = v - -25. Is s at most w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*a = 40*a - 5, -a - 12 = l for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 2 g, and 1 y when four letters picked without replacement from nggydgdqqdyg.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -5*h**2 - 2*h + 17. Let y be a(-6). Is -152 greater than or equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1908142 is divided by 166?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8505, 16922, 25339, 33756?\nAnswer: 42173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -5 - (0 - (314 + -1 + -5)). Let r = x - 301. Solve -21*v - r = -22*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - t - 8, 8 = 343*y - 345*y - t. Sort 14, y, 5, -12.\nAnswer: -12, y, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1657 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 5*p + 4, 5*q = 2*p - 27. Let v = q + 10. Suppose 5*f - 2 = v*i - 8, -3*i = f - 6. Solve 4 = -w - f*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 38615269 to the nearest integer?\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17889 + 17977. Sort 6, b, 5.\nAnswer: 5, 6, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 a when four letters picked without replacement from {a: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 21\/5 of a decade?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of 3*l + 0 - 1\/2*l**2 + 1\/2*l**3. Let h be ((-5)\/((-50)\/(-12)))\/(1132\/(-2830)). Calculate f(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 372556968 and 12267.\nAnswer: 4089","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/9)*g\/((g**(-5)*g)\/g*g*g))\/(g\/(g\/((g\/(g*g*g*g**(-1)*g*g)*g*g)\/g*g)))**(5\/3) assuming g is positive.\nAnswer: g**(50\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50416?\nAnswer: 2, 23, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2 - j - 1. Let q(b) = -11*b**2 + 5*b + 3. Calculate 3*k(v) + q(v).\nAnswer: -14*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 5*o = 0. Let s = o - -2. Suppose z = -z + s. Solve q = -5*l - z, 5*l = 3*q + q + 4 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -40*n + 18*n + 20*n + 5*n**2 = 0?\nAnswer: 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5.6 - -5.5173. Let s = -0.077 - a. What is s rounded to 3 dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17\/17*3\/(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, t: 1, h: 4, u: 5, q: 2, z: 1}. What is prob of picking 1 t and 1 z?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3\/31 + 55\/248. Let n = 1602 - 1602.2. What is the third biggest value in u, 0.1, n, -5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 18\/4 - (-12)\/(-4). Do 2 and n have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -968264345*b**3 - 208392744*b wrt b?\nAnswer: -5809586070*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28 and 126.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*p + 2*a, -3*p + 13 = -5*a - 22. Suppose -p*i - 8 = -48. Suppose 3*r - 4*r + 32 = 0. Calculate the highest common factor of r and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -396382*n - 1981912. Calculate q(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 11*w - 9. Let j(s) be the second derivative of -5*s**3\/3 + 4*s**2 + 2*s + 553. Give -5*j(l) - 4*o(l).\nAnswer: 6*l - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 4\/13, 3\/5, -5, 680\/3 in ascending order.\nAnswer: -5, 4\/13, 1\/3, 3\/5, 680\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -5 + 6 - 3\/3*2. Put i, -5, 4, 2 in descending order.\nAnswer: 4, 2, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 (base 11) in base 15?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of y**9\/1080 - y**8\/672 - y**7\/630 - 2*y**4\/3 + y**3\/3 + 5*y**2 + y. Let x(j) be the second derivative of f(j). Factor x(z).\nAnswer: 2*z**2*(z - 1)*(7*z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 373282571?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 6)*(2*s + 0*s + s) + 0 + 0*s + 2*s + 1.\nAnswer: 8*s + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 241 + -240.97. Is l at least as big as 20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-36)\/(-45) - 0)*12015\/108?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 126 + -50. Suppose -h + q - 29 = 0. Calculate the remainder when 185 is divided by h.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 28414745\/626 - 45391. What is the common denominator of c and -17\/18?\nAnswer: 5634","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -69352, -69084, -68816, -68548, -68280?\nAnswer: -68012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/63*-7)\/((-5)\/30).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**11)\/(k\/k**(9\/7)*k) assuming k is positive.\nAnswer: k**(-75\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) -19 (c) 6 (d) -33166 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxbsssbbxsxbsxs. What is prob of picking 2 s and 1 x?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3\/4 + 9*l**2\/4 + 3*l\/2 - 4.\nAnswer: (l - 1)*(l + 2)*(l + 8)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 25, 0.4, -27263?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 372\/(-10)*37\/74*135\/27?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2553850390.\nAnswer: 2, 5, 7, 13, 67, 41887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -3*h + 8. Determine l(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 5*r - 370 + 97, -2*l + 141 = -r. Calculate the greatest common factor of l and 96.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 1384*u**3 - u**2 + 6*u - 5. What is the units digit of a(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/24, 2\/3, -3, -26\/13055 in descending order.\nAnswer: 2\/3, 1\/24, -26\/13055, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z**2 + 2*z + z - 5*z**2)*(-3 + 2*z + 2 + 3 + 4*z - 11*z + 2*z + (3 + 2 - 4)*(-4*z + 2*z + 3*z)).\nAnswer: 2*z**3 - 8*z**2 + 6*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 129 - 135 - (1 + -1 - 7).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 87819 and 4535709.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -392 - -409. What is the remainder when 299 is divided by n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1758, -7025, -15804, -28095, -43898?\nAnswer: -63213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 5:33 AM?\nAnswer: 9:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + -6. Let r be 0\/3 + y\/(-5). Let w = 73\/9 + -25\/3. Which is the nearest to 2\/5? (a) w (b) 5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 538618 is divided by 249?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 47 - 29. Let o = 29 - u. Calculate the lowest common multiple of 6 and o.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 65 and 9220445?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - g + 8 = -2*k, 0 = 2*k - 4. Let y be (-8)\/(-6) + (-4)\/g. Sort y, 0, -4 in decreasing order.\nAnswer: y, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 + 50*w + 97. What is f(-48)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.4 - 0.4. Let r be (-10)\/(-20) + 2\/(-12). What is the nearest to 5 in y, r, -0.3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 2*r**3 - 17*r**2 + 7*r + 11. Let v be k(8). Suppose -3*l - 2*g = -165, -g - 51 = -l - v*g. Is l a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 175 and 525?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3)\/2)\/(3\/4). Let i be -1*10\/(-8)*1\/(-5). What is the nearest to i in g, 4, -5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*(x\/x**6)\/x*x)\/x**(-1\/4)*(x\/(x\/x**(2\/5)*x))**3 assuming x is positive.\nAnswer: x**(-91\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -113254\/32357 - -9\/64714. Let o = -1.92 + 2. What is the nearest to n in -3, -2\/19, o?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.27802 + -0.27802. Sort k, 5, 1\/4, -0.25, -5 in decreasing order.\nAnswer: 5, k, 1\/4, -0.25, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.7155428 rounded to two decimal places?\nAnswer: 3.72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of -d**6\/30 + 3*d**5\/5 - 4*d**4\/3 + d**2 - 217*d. Factor k(o).\nAnswer: -4*o*(o - 8)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -432042 + 5?\nAnswer: -432033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 94317305\/62700024 + 3784\/26933. Let f = x + 77\/194. Find the common denominator of 103\/44 and f.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 772009391 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*k**4 + 4*k**4 + 0*k**4)*(1231 + 2252 + 1866 - 1941) to g*k**4 + w*k + v*k**2 + u*k**3 + r and give g.\nAnswer: 3408","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v - 12. Let p be 3\/4 + (-763)\/(-28). Suppose p = -t + 23. Determine w(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 75759*-21.\nAnswer: -1590939","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -1520 (b) 35 (c) 3 (d) 0.1 (e) -0.1 (f) -3 (g) 0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1398149, 1398144, 1398137, 1398128, 1398117?\nAnswer: 1398104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of d**4\/6 - 2*d. Let b(v) = -3*v - 3. Let r(g) = -3*g - 2. Let j(x) = -2*b(x) + 3*r(x). Calculate j(a(y)).\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*f**2 - 2*f**2 - 2*f**2 + (3 - 3 + f**2)*(13 + 9 + 6) - 816 + 5*f**2 + 816 + (2*f**2 - 2 + 2)*(4 - 2 - 1) to v*f**2 + h + j*f and give v.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of -q**10\/3360 + q**9\/2520 + q**8\/2240 - q**4\/3 + 33*q**2. Let m(t) be the second derivative of g(t). Solve m(l) = 0 for l.\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r**3\/9 - 26*r**2\/9 + 20*r\/9 + 16\/3 = 0. What is r?\nAnswer: -1, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12528?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 56704, 113410, 170116, 226822, 283528?\nAnswer: 340234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 12631 - 4732.096\nAnswer: 7898.904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 20008522 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 72 - 73. Let j = -3 - 1. Sort -1\/2, n, j in decreasing order.\nAnswer: -1\/2, n, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-8)\/12)\/(52\/2898). Let m = 37 + d. Which is the nearest to m? (a) 4 (b) 2 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -78 + 99. Suppose -7*z = -b*z + 42. What is the nearest to -6 in 0.2, -5, z?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (2 - -29 - 16 - (7 - -1)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 + 18*v**2 - 22*v + 3. Is w(-19) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12? (a) -8 (b) 4 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 215776553 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 PM and 9:35 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(126)\/sqrt(3)*6)\/((sqrt(66)*-4)\/sqrt(11)).\nAnswer: -9*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (45\/(-30))\/((-1)\/2). Factor -8 - 2*a + 14*a - 5*a**3 - a**x + 2*a**3.\nAnswer: -4*(a - 1)**2*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m**4 + 3*m + 0*m + 72*m**3 - 4*m**2 - 52*m**4 - 23*m**2 = 0 for m.\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25540955.\nAnswer: 5, 11, 464381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*d**(-2\/5))\/d*d)**(-40)\/(d**(-2\/7))**45 assuming d is positive.\nAnswer: d**(-358\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -179 (base 11) to base 12\nAnswer: -153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 160902851 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -15, 2, 1.\nAnswer: -15, -1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.4 - 1.6. What is the nearest to 2\/7 in n, 4, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111000010001001 - 111?\nAnswer: -111000010010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4 - (-4 + (-16)\/(-6))*-3. Solve -a + 2*a = m + 5, t = -3*m for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 + p**2 - 8*p - 8. Suppose 4*n - 30 = 5*o, 5*o - 5 = 3*n - 35. Let w be a(o). Round w to the nearest 10.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14 + 29. Does 5 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 972.5706 days in hours?\nAnswer: 23341.6944","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4198.42341+47\nAnswer: -4151.42341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*w + 124 = -43*w. Let q = 190 + -176. What is the least common multiple of q and w?\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of 23*p**4\/12 + p**2 - 1. Let q(u) = 3*u. Determine k(q(y)).\nAnswer: 138*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 91897735 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-113)\/(-7910)*(-20)\/10?\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 33 in 0, -4\/5, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 60 (b) 0 (c) -0.2 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 17, 33, 43, 47, 45, 37?\n\"Answer: -3*x**2 + 25*x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -705, -4958, -16307, -38304, -74501, -128450, -203703, -303812?\nAnswer: -432329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -a, -5*a - 5*f - 1 - 4 = 0. Let x = 79 - 84. Let p = a - x. Solve 2*w - 4*d - 26 = 0, -4*w + 0*d - p*d - 3 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 5 = 29. Suppose 4*o - y*o + 8 = 0. Calculate the lowest common multiple of 9 and o.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 2061?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.097617 rounded to four decimal places?\nAnswer: 0.0976","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 - 4*p - 2. Let u be w(5). Let q(n) = -10*n + 11. Let o(k) = 10*k - 12. Let s(y) = -4*o(y) - 5*q(y). What is the tens digit of s(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -81173 or 274?\nAnswer: 274","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 5*o + 85. Let u be c(-17). Suppose u*f = 5*f + 2*g, 0 = 5*g. Let w = 18.3 - 20. Are f and w nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 + 8. Suppose 3*c - 288 = -i*c. Calculate the remainder when c is divided by (25\/(-3))\/(2\/(-6)).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-6)*6 - -2. Suppose 4*v + 2*s = f*s + 76, 20 = -5*s. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1219378609 to the nearest 1000000.\nAnswer: -1219000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 0 = -2*w. Suppose w*l = -0*l + 15. What is the highest common divisor of 27 and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -77.16 + 77. Which is the biggest value? (a) 0.2 (b) y (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}