diff --git "a/data/dm_maths/full_data_2/10474_11255.jsonl" "b/data/dm_maths/full_data_2/10474_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/10474_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let k be 2812\/4921*21\/4. Let g be (1\/2)\/(2\/8). Suppose k*q - 2*v = 12, g*q - 8 = 4*v - 2*v. Solve 3*c - 11 = -p, q*c + 0 = 5*p + 2 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -15*u**2 + 6*u + 14. Let h(k) = -2*k**2 - k + 1. Determine -6*h(c) - l(c).\nAnswer: 27*c**2 - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4*2\/(-2) - (39 - 43). Suppose -q*p + 3*p - 4*s + 8 = 0, 5*s = -p + 10. Solve p*r = -r + 2*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 AM and 11:20 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -88 + 87. Do 13 and p have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153238 to the power of 1\/2, to the nearest integer?\nAnswer: 391","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 22*y. Let u(d) = 1532*d. What is u(h(t))?\nAnswer: 33704*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iaabbibjaaaaz. What is prob of sequence zjb?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 33 - 21. Suppose 2 = z, 0 = 5*c - 5*z + 4*z - 8. Find k such that 8*k - 12*k**2 - u*k**c + 17*k**3 + 10*k**3 - 9*k**3 = 0.\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49445.03 less than -0.12?\nAnswer: -49445.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zh when two letters picked without replacement from {z: 1, h: 3, j: 11, p: 5}?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 5*o - 320 = -851, -5*z - 5*o - 1350 = 0. Let r = z - -272. Which is the nearest to 1? (a) r (b) -1\/3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k - 7. Let a be x(-5). Suppose -r = -6*r + 4*b - 10, 3*b = 15. Let u(h) = -4*h**3 - 3 + 0*h**r + 2*h**2 + 5*h**3 - 2*h. Determine u(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = 43*n + 407 + 264 for n.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 164133?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5376 and 152?\nAnswer: 102144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 0*f**2 - 2*f**2 - f - 3 - f + f**3 + 0*f. Let a be u(3). Suppose 3*y - 12 = a, -5*j - 5*y = -0*j - 50. What is the least common multiple of 14 and j?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i, 2*i + 6 = 2*h + i. List the prime factors of 32\/(12\/h)*2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -517837, -517844, -517863, -517900, -517961, -518052, -518179?\nAnswer: -518348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -113.2 + 113. What is the closest to -0.2 in 4, 17, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -650\/67 or -11?\nAnswer: -650\/67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*p + 45*p = -10. Let u(t) = 0 + t**3 - 15*t**p + 15*t - 1 - 9. Let m be u(14). Solve -2*j + 1 = -2*r - 1, 0 = -m*j + r - 8 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ktkk when four letters picked without replacement from kttkkkk.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 5 + 1. Let q be w + (-12)\/3 + 10. Suppose 29 = 3*k + q. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 11, -5, -2\/11, -2, 96783?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ak when two letters picked without replacement from {o: 6, a: 1, p: 4, k: 2}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w + 71. Calculate the remainder when b(-9) is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -64 - -67. Suppose 3 - 11 = -v*o - 2*p, -3*o - p + 4 = 0. Is 23 a factor of (-12 - -6) + 47 + o + -4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 + 2*n**2 - 2*n + 1. Suppose 1 = 4*s - 3. Let y be o(s). Suppose -5*q = -0*q - 5. Sort q, y, 3.\nAnswer: y, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 - 14*w**2 - 15*w - 16. Determine y(-13).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 1:05 PM?\nAnswer: 3:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g*g**(18\/5)*g)\/g)\/g)\/g)\/g*g**(-3\/5)*((g\/(g*g\/(g*g*(g**(-15\/4)*g)\/g)))\/g)**(-3\/26) assuming g is positive.\nAnswer: g**(149\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 8, -24, 5, 2, 3.\nAnswer: -24, -1, 2, 3, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, -55, -97?\nAnswer: -139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51384?\nAnswer: 2, 3, 2141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of 2*a**3\/3 + a**2 + 2*a - 73. Determine w(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, 1210 in decreasing order.\nAnswer: 1210, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 28*j + 30*j - 13*j - 1. Let m be r(1). Suppose m = 3*h + h. Does 5 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -7*n**2 - 12*n + 9. Let v(x) be the first derivative of 4*x**3\/3 + 3*x**2 - 5*x + 3797. Give 6*d(z) + 11*v(z).\nAnswer: 2*z**2 - 6*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8901?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, n: 2}. Give prob of picking 1 l and 1 n.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 38871?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 - 4 - (-18 + 2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 (base 10) in base 13?\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -74189.97 + -0.0486\nAnswer: -74190.0186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2356 divided by -38?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -63654, -254494, -572540, -1017774, -1590178, -2289734?\nAnswer: -3116424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 + 17*t**2 + 14*t + 10. Let y be u(-16). Let v be (-102)\/y + ((-3)\/(-3) - -2). Which is the nearest to 0? (a) -1 (b) v (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-2697)\/(-403))\/(-29))\/(18\/6)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 2*h - 48 = 0, 2*g - g - 2*h - 22 = 0. Suppose -u = 4*q - 5*u - 32, 0 = -2*q + u + g. Calculate the remainder when 16 is divided by q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 43 - 37. Let g(h) be the third derivative of 0 - 1\/8*h**4 + 0*h**5 + 0*h - h**2 - 1\/120*h**o + 0*h**3. Find the second derivative of g(i) wrt i.\nAnswer: -6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.63 times -3657\nAnswer: 2303.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9174742 and 2368?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15943199.\nAnswer: 47, 127, 2671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 3*l = -40. Suppose 14*d = 19*d - l. Solve -d*x = -9*x + 20 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 493 and 58.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -23911.42091 and 2.77?\nAnswer: 23914.19091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*o + 7*o. What are the prime factors of (0 - o) + -1 + 60?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f**2\/4 + 16180611*f\/4 - 8090307\/2 = 0. Calculate f.\nAnswer: -5393538, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28204 - 28202. Factor -1\/2*i**3 + 5\/2*i + 0 - p*i**2.\nAnswer: -i*(i - 1)*(i + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of y**3\/3 + 25*y**2\/2 + 16. Let x be u(-25). Solve x = 6*h - 5*h - 2 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7397000 rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 PM and 11:30 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 192 and 1131328.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 8 = 4*d. Solve 0 = d*b - m - 0 - 14, -3*m - 10 = -4*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 188, 783, 1766, 3131, 4872, 6983, 9458, 12291?\nAnswer: 15476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1663 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 9 + 6. Suppose -3*k + 2 = 2*a, 2*k - 3*a = -4*a + 2. Suppose -k = -n*l + 4. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r - 4*r + 10 = 0. Let i = 0 + r. Let d be 3\/(-15)*1*2. Which is the third biggest value? (a) -1\/4 (b) i (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 7, u: 6}. Give prob of picking 2 r and 1 u.\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -52 + 601?\nAnswer: 527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2 - 204*m**5 - 116*m + 0 - 32*m**5 - 5*m**5 wrt m?\nAnswer: -4820*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-4) + 15\/6*(-58 + 17544\/306)?\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30 and 510.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 264*w - 4. Let s be z(3). Let o = s - 55. Does 34 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -4*c + 4710, 0 = -3*c + 2*t - 0*t + 3534. Let d = c - 503. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*h + 124 = 104*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(189)\/sqrt(3)*-6 - (-2*sqrt(63) - sqrt(63))*-5)\/(sqrt(18)\/sqrt(2)*3 + (sqrt(81) - sqrt(81)*-1) + sqrt(81)).\nAnswer: -7*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the third derivative of 9*w**2 + 507\/7*w**3 + 5\/42*w**5 + 0 + w + 65\/14*w**4. Factor h(z).\nAnswer: 2*(5*z + 39)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 762 (base 13) to base 16\nAnswer: 4ef","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 5, -7, -31, -73, -139, -235, -367, -541?\n\"Answer: -v**3 - 5*v + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of d**6\/90 - 2*d**3\/3 + 9*d**2 - 119. Let h(w) be the third derivative of q(w). Let x(n) = 2*n**2 - 7*n. Calculate x(h(b)).\nAnswer: 32*b**4 - 28*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (0 - -2) - (-23 + (-21 - -34))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 44\/5 of a decade?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120*k + 789 + 1115 = 152*k for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33698 - 24076 = n. What is the thousands digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-9)\/((-12)\/176*2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1061618 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 4*c + 1191 = 0, c + 523 = 2*u - 271. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of 55*f**5 - 258*f - 160. Differentiate w(c) wrt c.\nAnswer: 1100*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9 - (6 + 2) - (1 - 5). Suppose -4*p + 11*z = 8*z - 6, -5*z = a*p + 10. Solve r = -p*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(1\/2))\/y**(-2\/17))\/(y\/y**12*y\/(y\/(y\/y**(2\/5)))) assuming y is positive.\nAnswer: y**(1873\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00189802 to five decimal places.\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -37.7448789 rounded to 2 dps?\nAnswer: -37.74","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43670, 87340, 131070, 174890, 218830, 262920, 307190?\nAnswer: 351670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2340344 and 1518518?\nAnswer: 3382","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1072*b**3 + 455*b**2 + b + 5.\nAnswer: -6432","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -1 + 8*l + 2*l + 0 - 2 + l**2. Let q be s(-9). Let x(h) = -10*h - 21. Let p be x(q). What is the greatest common factor of p and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2969*n**2*u**3 - 151*n**2 - n*u + n + u wrt u?\nAnswer: -17814*n**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 222431255 (base 6) to base 16.\nAnswer: 3dc373","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zmdd when four letters picked without replacement from {m: 1, a: 1, z: 2, c: 2, d: 5, h: 4}?\nAnswer: 1\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 638 is divided by 31.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/8868 and 57\/32.\nAnswer: 70944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2250490 divided by 10.\nAnswer: 225049","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3000)\/625)\/(28\/(-35))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 2962353*h**2 + 37 - 2962356*h**2.\nAnswer: -3*h**2 + 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2388.000010724 - -2388. What is s rounded to 7 dps?\nAnswer: -0.0000107","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -54 + 74. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 61 = b - 62, 0 = -2*b - 5*x + 20 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6255 = 3*q - 3*n, -5*n = -4*q - 0*n - 8340. Calculate the common denominator of -67\/4 and 2*(2028\/q - (-4)\/5).\nAnswer: 556","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -2 + 0\/(-16) - 285\/(-19)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**5*g\/g**(-6\/7))**(-36)\/((g\/(g\/g**(-5)*g))\/g**13)**(3\/20) assuming g is positive.\nAnswer: g**(-39201\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 63*h**5 + 528*h**2 - 22*h + 176 wrt h.\nAnswer: 1260*h**3 + 1056","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 4 = 0, 4*p - 4*f + 3 = -p. Solve p + 1 = -2*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4 - (0 + 0)\/3. Let d be ((-5785)\/70)\/((-415)\/z). Let w = d + 2\/581. Is 1 not equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -16 - 2. Let z be (-2 + 5)\/(c\/(-6)). Suppose -4*v - 4 = -2*b, 0 = -3*v - 3*b + 3 + 12. Which is greater: z or v?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 8\/5449?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 99 + -59. Does 35 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1634?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaaqqqqaqqaaaqqaaq. Give prob of picking 1 a and 3 q.\nAnswer: 70\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 210942 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14.4 + -14. Let p = 24 + -28. Which is the closest to p? (a) j (b) -0.5 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.41 - -120067339.\nAnswer: 120067339.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -7588367?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -6*j**2 + 45*j - 26. Let l(x) = -3*x**2 + 22*x - 13. Calculate -7*l(u) + 4*z(u).\nAnswer: -3*u**2 + 26*u - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1\/11, 5, -0.3?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4162 and 2634?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 46 + -45. Which is bigger: 16 or h?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -83 - -81. Is t - -17907 - -1 - 3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -303 (base 8) to base 11\nAnswer: -168","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*q**3 + 4*q**4 - 13*q**3 + (0*q**4 + 3*q**4 + 2 - 2*q**4)*(-1 + 4 - 4).\nAnswer: 3*q**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 5*d - 103, 0*d + 2*m = -4*d + 88. Solve 6*i - l + 27 = i, 3*l - d = 3*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*j**3 + 14442*j**2 - 27100494*j + 3678048486 = 0. Calculate j.\nAnswer: 147, 3537","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/((-11)\/4))\/(86\/473)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -0*y + 3*y - 12, 6 = 2*s. Suppose y = 5*n + 8 + 17. Let w be (-33)\/12 - -3 - 26\/8. Put w, n, 2 in decreasing order.\nAnswer: 2, w, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/((-7)\/28*-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -10 + (-3905)\/(-187) + -5 + -6\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/7 (b) -4 (c) 2\/97 (d) 10 (e) 3\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -610*n**2 + 5*n + 9*n**3 - 5*n + 610*n**2.\nAnswer: 9*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 10971*w**2 - 6*w. Let s(v) = -3*v - 8. What is q(s(m))?\nAnswer: 98739*m**2 + 526626*m + 702192","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.2, -3, -1\/4, -7 in decreasing order.\nAnswer: -1\/4, -1.2, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4179621, 4179651, 4179681, 4179711, 4179741?\nAnswer: 4179771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 18 = -0*o + 3*o, 0 = 5*z + 4*o - 31. What is the biggest value in 0, -6, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2*z**2 + 64*z + 490. Let o(t) = t**2 + 32*t + 244. Let u(g) = 6*l(g) - 11*o(g). Factor u(i).\nAnswer: (i + 16)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/9*(6\/(-100))\/((-27)\/135).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.8 + 4. Let q = m - 0.20000019. What is q rounded to seven decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2568 and 102720.\nAnswer: 102720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (57\/(-494))\/(-4*7\/728).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6*(2 - 0)\/(-1). Let n be ((-2)\/4)\/(6\/o). Solve n = u - 2 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b8611 (base 13) in base 3?\nAnswer: 121220111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00005812 to 6 dps.\nAnswer: 0.000058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 9:36 AM?\nAnswer: 4:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 39241491?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -0.3 (c) 6 (d) -10353 (e) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -78345*b*u**3 - 2712*b - 21*u**5 - 162*u wrt u?\nAnswer: -470070*b*u - 420*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17*m**4 - 181*m**3 - 37*m**2 - 7008131*m wrt m?\nAnswer: 204*m**2 - 1086*m - 74","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 13*k**3 + 26*k**2. Let u(c) = -c**2. What is 5*p(i) + 130*u(i)?\nAnswer: 65*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5512*o + 29 - 16*o**4 - 5351*o + 14*o**4)*(3 - 1 + 0).\nAnswer: -4*o**4 + 322*o + 58","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.92 + 15.32. Round l to zero dps.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 526 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 - 13*p + 7. What is the units digit of c(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44206992 a multiple of 144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**5\/5 - 12*q**3\/5 + 6*q**2\/5 + 9*q\/5 - 6\/5.\nAnswer: 3*(q - 1)**3*(q + 1)*(q + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1614\/(-4)*(1 - 284\/12). Let b = -5775 + p. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 - 6*w - 9. Calculate d(10).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 40 = 40. Let c be (-10)\/(-14)*(48\/j)\/(-4). Suppose 4 = 5*x - 4*x. What is the second smallest value in -2\/7, c, x?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 l when four letters picked without replacement from wlwwllwlwwlwwwlllslw?\nAnswer: 42\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -3, -4, 538374?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 - 28 = -7*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 23322272453 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 3*j - 413, -563 = -5*j + w + 147. Is j a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2085 and 121740.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/3 + 33\/(-9). Let i(h) = h**2 + 1. Let a be i(-1). What is the nearest to 0 in r, a, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 72 and 91?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of a**5\/20 + 5*a**4\/3 - 4*a**3 - 7*a**2 + 5*a + 1. Let h be f(-21). What is the greatest common divisor of h and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71785.\nAnswer: 5, 7, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (8 - (14 - -4)) + 1\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 2*q = 133 - 525, -416 = -4*s - 4*q. Suppose 4*c = 9*c - s. Which is bigger: c or 0.2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 9, o: 1, r: 8, z: 2}. Give prob of picking 1 q and 1 z.\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i - 6*i - 11*i)*(-24 + 29 + 14).\nAnswer: -323*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - 360326?\nAnswer: -360325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -2*y - 10. Let i(c) = c + 4. Let o be i(8). Let x be 4\/(-2) + (1 - -3). Suppose -6*m + x = -4*m. Let r(f) = 1. What is m*a(g) + o*r(g)?\nAnswer: -2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 105254?\nAnswer: 105254","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -104*y + 120. Calculate q(9).\nAnswer: -816","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 + -16. Let r be (a\/18)\/((-2)\/6). Suppose -r*b + 2 = -6. Solve 6 = -c - b*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*i + 39*i - 1113 = 0. Let h(a) be the third derivative of a**5\/60 - 7*a**4\/12 - 23*a**3\/6 - 2*a**2. What is the tens digit of h(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5235 (base 6) to base 7\nAnswer: -3266","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -361, 15, 0.04, 2809 in decreasing order.\nAnswer: 2809, 15, 0.04, -3, -361","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 17*m**2 - 4*m + 2. Let s be v(1). Solve -6*l = -s + 3 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002337992 to 6 dps.\nAnswer: -0.000234","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0019185078 to three dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 3*p**2 - 1078*p - 93138. Calculate m(-72).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(3\/4))**45\/(f*f**(-1)*f)**(-6\/31) assuming f is positive.\nAnswer: f**(4209\/124)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + 1 + -4 - 0. Let o = -10476 - -10476.4. Sort 2, d, o in decreasing order.\nAnswer: 2, o, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**4 + 12*s**3 + 22*s**2 + 12*s.\nAnswer: 2*s*(s + 1)*(s + 2)*(s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18983?\nAnswer: 41, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 208 and 286000.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 194774*w**3 + 58348*w**2?\nAnswer: 1168644","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-76)\/66)\/((-68)\/(-255)) and -95\/18?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*w**3 + 4*w**3 + 3*w**3)*(w**2 + 4*w**2 - 4*w**2) - 3*w**5 + 2*w**5 + 2*w**5 - 4*w**5 + w**3 - 3*w**3 + 3*w**5.\nAnswer: 2*w**5 - 2*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8556, 51124, 122076, 221418, 349156, 505296, 689844, 902806?\nAnswer: 1144188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 PM and 11:24 PM?\nAnswer: 233","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Express (0*i + i + 0*i)*(-2 + 0 + 1) - 4*i + 0*i + 3*i + 468*i - 15 + 15 in the form f*i + k and give f.\nAnswer: 466","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 51) + (213 - 174)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by -88?\nAnswer: -3\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, -4, -12 in decreasing order.\nAnswer: 4, -4, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -719 - -720. Let d = -9 + 9. Suppose 16 + 12 = 4*m - 2*i, -4*m - 2*i + 28 = d. What is the greatest common divisor of m and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-1*sqrt(143)*-5*-4)\/((sqrt(77) - (sqrt(77)*-2 - sqrt(77) - sqrt(77)))\/sqrt(7) + (sqrt(11) + sqrt(176))*1).\nAnswer: -2*sqrt(13) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 + 11*t**2 + 2*t - 3. Let o be i(10). Suppose h + o = 3*c, -246 = h + h - 2*c. What is h rounded to the nearest ten?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 1 = -5*g, 2*y + 1 = y. Let q be g + (-2 - (2 + -7)). Solve q*t = d + 5 + 14, -5*d - 10 = 2*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pm when two letters picked without replacement from pppmppmpmmcpppmmpp?\nAnswer: 11\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 653?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -34\/25, -3\/7, -6, -12, 3\/5?\nAnswer: -34\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 100519 - -2?\nAnswer: 10051b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1629\/5 - 327. Let g = 14 - 15. Does q = g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28950825?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/((-1100)\/30)*2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 624, 603, 582, 561, 540, 519?\nAnswer: 498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(-1\/4)*r)\/r**(3\/4))\/(r**(-1)*r*r*r\/(r\/((r*r**(-8)\/r*r*r*r)\/r))) assuming r is positive.\nAnswer: r**(13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(-1) - 9\/(-42)*2.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-6 + 3 + 0) - (6 - -7)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t - 79 - 11 = 0. Let r = 12 - 3. Let b = r - 5. What is the least common multiple of t and b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 630899 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 39*a + 29. Let l(k) = 13*k + 10. Let b(z) = 8*l(z) - 3*r(z). Does 18 divide b(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 6 = 0, 5*k - 10*c + 19 = -7*c. Let x be k\/(4\/6 - 1). What is the greatest common divisor of x and 165?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 44\/5, 3, 2, 3\/13, 8 in ascending order.\nAnswer: 3\/13, 2, 3, 8, 44\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 407 + -709. Let c = -148 - r. Calculate the remainder when c is divided by 71.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-4)*(-12)\/2*40\/15.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 155268, 310838, 466408?\nAnswer: 621978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 - 9*b**2 - 12*b + 12. Let n be k(-7). Let v(s) = s**3 + s - 1. Let g(q) = -7*q**3 - q**2 - 7*q + 4. Let w(z) = g(z) + 5*v(z). Give w(n).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -325, 3, 1623889 in decreasing order.\nAnswer: 1623889, 3, -325","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9276652 and 308?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 - -57 - (537 + -399)?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4*(-5)\/150*(-1 - -2). Let x = 0.05 - -0.25. Put 2, 5, x, g in descending order.\nAnswer: 5, 2, x, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 2*l - 16. Let k be g(6). Let i be k + -1*(4 + -5). Let z = i + 40. What are the prime factors of z?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2506*a*t - 5665*a wrt t.\nAnswer: -2506*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x = -u + 4*x - 5, -5*x - 40 = -3*u. Suppose -u*z - 12*m = -10*m - 2796, -4*z + 2217 = -5*m. Does 31 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1588 a factor of 622441223?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 3150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 + v**2. Let t = 14 + -11. Suppose -g + 1 - t = 0. Let r(f) = 6*f**4 + 10*f**3 + 4*f**2. Let o(j) = g*r(j) + 4*i(j). Suppose o(m) = 0. What is m?\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(2448)*-3 + -1 - (-4*(sqrt(17) + sqrt(17)*3) + -6*(sqrt(17)*3)**2).\nAnswer: -20*sqrt(17) + 915","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 n when two letters picked without replacement from irrnn.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*u, 4*u = 2*w + 7 + 3. Let m(j) = j**2 - j - 2. Let y be m(-2). Put y, w, 1 in descending order.\nAnswer: y, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3253648*f - 3253648*f - 4*f**3.\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 9*o**2 - 2*o - 1. Let v be c(-1). Let q be (5\/v)\/(2\/4)*-1. Let s(w) = -23*w. Determine s(q).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 - z**2 + z. Let j be w(0). Suppose -356 = -j*h - 4*h. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 2*t - 20 = -2*z, 0 = -4*z + 3*t + 36. Suppose 0 = z*j - 16*j + 8. Let l(b) = -72 + 37 + 37 - j*b. Calculate l(-6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**1\/n**(-1\/2)*(n**(-2\/13))**(1\/11) assuming n is positive.\nAnswer: n**(425\/286)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -31 - -10002231?\nAnswer: 10002200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24559084 is divided by 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 660.357 to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 4*a = -0*a - 28, 0 = -4*a + 12. Solve r*q + 4 = -0*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94045151 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 + 81*i - 47. Calculate o(81).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-2)*0\/1. Suppose -7314 = -63*o + 5286. Suppose w*g - o = -2*g. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 + 11*a**2 - a - 10. Suppose -25 = 2*z + 3*b, 4*z + 43*b + 45 = 42*b. What is u(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -9*x**4 - 624*x**3 - 1983*x**2 - 180*x + 1188 = 0.\nAnswer: -66, -3, -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 804552 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + -2. Let k = a + 4. Let x(j) = j**3 - j**2 - j + 3. Calculate x(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5.4 * 6\nAnswer: -32.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3040850 a multiple of 219?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 2544 to the nearest one hundred.\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -228 = -144*x - 2388 for x.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 35196635 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 30901, -3 in ascending order.\nAnswer: -3, -1, 30901","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -4*w**4 - 7454*w**3 - 3470766*w**2 + 1740976*w + 1737248 = 0.\nAnswer: -932, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2207414.2 rounded to the nearest 1000?\nAnswer: -2207000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-8)*(-10 + (-5 - -1)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 4*j - 13512, -3*q + 10803 = q - j. What is the hundreds digit of (-56)\/10*q\/(-40)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 112 - 121. Sort -6, r, 2 in decreasing order.\nAnswer: 2, -6, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 + 6 = -4*f. Suppose -v + 63 = f*o, o - 277 + 46 = -3*v. Suppose 2*i + i = v. Does 13 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 527*p**3 + 4755*p.\nAnswer: 3162*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(18) - (sqrt(18) - sqrt(18)*-1)))**2 - sqrt(198)\/(sqrt(55)\/sqrt(5))) + (sqrt(108) - 1*sqrt(108))\/sqrt(6) + sqrt(162)*3.\nAnswer: 24*sqrt(2) + 450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3829046 a multiple of 221?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-46 - -22) + 0 + -4 + (13 - 18)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 15154, 15152, 15150?\n\"Answer: -2*a + 15156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, h: 5, f: 1, k: 2, o: 5, l: 2}. Give prob of sequence lfkh.\nAnswer: 1\/2856","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/262 and -75\/22.\nAnswer: 2882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -207, -190, -157, -102, -19, 98?\n\"Answer: c**3 + 2*c**2 + 4*c - 214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - -31622?\nAnswer: 31621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 30075*b**3*j + 20*b**3 + 4*b**2*j + 2*b**2 - 188935*b*j wrt b?\nAnswer: 180450*j + 120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 56044 - 28391. Is c bigger than 28145?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oopp when four letters picked without replacement from {d: 2, p: 6, o: 7}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6324 and 2046.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 12. Suppose 4*k = 4, 0 = -r - 2*r - i*k + 90. Suppose 339 = y - 4*f, -y - f = 128 - 442. What is the greatest common divisor of r and y?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 450 = -7*w + 25*w. Suppose -7*m = -w + 11. What is the lowest common multiple of 4 and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/8 in -7, 2\/7, 2\/9, 1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.7052096957 rounded to 5 dps?\nAnswer: 1.70521","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9382*i**3 - 334738*i + 334738*i + (-i + 0*i - i)*(1 - 4*i**2 - 1) to c*i + p + h*i**3 + r*i**2 and give h.\nAnswer: -9374","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**7*s**(-3)\/s*(s**1)**(-2\/13))\/(s*s**7*(s\/(s**(2\/29)*s))\/s*s)**(-1\/4) assuming s is positive.\nAnswer: s**(4395\/754)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 + -8. Let i be 706\/12 + ((-354)\/(-36))\/59. Sort -2, j, i in ascending order.\nAnswer: -2, j, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 0\/(-1) + 0 - 147\/24 and -25\/14?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 5*l. Let r(d) = 421*d + 2. Give r(n(c)).\nAnswer: 2105*c + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-16)*(0\/2)\/6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-300)\/(-2400))\/(4\/(-16))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 269659706 to the nearest integer?\nAnswer: 646","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 9*b + 96. Let n be f(15). Let q be 9*(-14)\/n*2\/4. Sort q, -0.1, 0.1 in descending order.\nAnswer: 0.1, -0.1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 129.\nAnswer: -4\/129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*d - 97 = -349. Let y(n) be the third derivative of -1\/60*n**6 + d*n**3 + 0 - 1\/30*n**5 + 2\/3*n**4 + 0*n - 7*n**2. Factor y(g).\nAnswer: -2*(g - 3)*(g + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 13*i - 7. Let b(y) = -12*y + 6. Let f(l) = 7*b(l) + 6*t(l). Let o(x) = -2*x**2. Calculate o(f(v)).\nAnswer: -72*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -3210000 to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**8)**(-6\/19) assuming y is positive.\nAnswer: y**(-54\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 349603564 to the power of 1\/3, to the nearest integer?\nAnswer: 704","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 298 = 3*a - 3*o - 20, -5*o = 2*a - 226. Let m be (1 - -3)*107\/(-4). Let s = a + m. Solve -2*u + 4*h + 15 = -s, h - 5 = -4*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1510191?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -43*v + 158. Let u be p(-7). Suppose -1709 + 302 = -3*q + 4*m, -q + u = 2*m. Does 15 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 divided by -9.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(-1)*3\/(-9). Let z = 7 - 4. Suppose 4*q - 4 = z*w - 16, 0 = -2*q. Solve t = d + w for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of -3*w**4\/2 - 9*w + 1. Find the first derivative of m(f) wrt f.\nAnswer: -18*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + k + 74 = 0, -16*z + 5*k = -19*z + 214. What is the remainder when 237 is divided by z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.6 in 0, 2, 0.1, -1.497?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 + 9)\/(4\/10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 c when two letters picked without replacement from {c: 3, b: 2, o: 1, x: 4, g: 2, j: 2}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 312769?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 14224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 - c + 1. Let w be t(2). Suppose 2*z - 2 = 2*r, 6 = -5*z - 4*r + 2. Suppose -w*u + z*u + 195 = 0. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -7*g - 31. Let c be w(-4). Let j = 0.148 - 19.348. Let k = j + 1.2. Sort c, k, -2 in increasing order.\nAnswer: k, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 243 - -320. List the prime factors of t.\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9 times 0.0086?\nAnswer: -0.00774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 - 9*p**2 + 28*p - 3. Is j(8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 66 = -3*q + 17*q for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n - 1. Let g be (0 + 72)*17\/(-34). Let p = g - -42. Let c be w(p). Solve 5*j + c*l + 15 = 0, -j - 2*l - 6 = -2 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 36578\/9 + -4060. What is the common denominator of (-424)\/(-36)*1\/2 and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*r - 9 = -2*i + 83*r, 120 = -3*i - 37*r for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 divided by 25119?\nAnswer: 16\/25119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - b = -1848, 3*h - 1102 = 5*b - 9*b. What is the remainder when h is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2.78, -1\/9, 21, 4, 2?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 21102202102 (base 3) in base 7?\nAnswer: 1146452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ywwv when four letters picked without replacement from {w: 6, y: 4, l: 1, v: 3}?\nAnswer: 15\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2312 + -2290 - (-1 + -51)\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11 and 1505.\nAnswer: 16555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7402 a factor of 6239981121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -4*y + 35. Determine u(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -3*k**2 - 7*k - 1. Let a(l) = 5*l**2 + 11*l + 2. Let w(v) = 5*a(v) + 8*p(v). Let h be w(0). Solve -14 = 4*q + r, -q - h*r + 8 = -5*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01104778553 to six dps.\nAnswer: 0.011048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0\/((480\/10)\/8)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + -2. Let f(z) = -3*z**2 + 3*z + 3. Let p(w) = -8*w**2 + 8*w + 9. Let k(x) = h*p(x) - 11*f(x). List the prime factors of k(-3).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 3 = 1. Let r be (84\/a)\/3 + -2. Solve -3*z - 28 = -4*p, -r*p = z - 21 + 5 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a microsecond in nanoseconds?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, 2, 57, 5, -70, -3 in descending order.\nAnswer: 57, 5, 2, -1, -3, -4, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -4*i + 75. Let p = i - -230. Suppose 14*w - 891 - p = 0. What are the prime factors of w?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9.4 in 5, 0.08, -2, -0.3, 2\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (29\/((-493)\/(-51)))\/((-2)\/2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 6791889983?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 2 = 3*c, l - 5*l + 3*c + 10 = 0. Calculate the smallest common multiple of l and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-30)\/(-4))\/(3\/4). Suppose -n = x - 0*x. Let c = x - -17. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -125 + 132. Suppose 2 = -4*r - 2*j + 8, j + 5 = 2*r. Factor 3*t - 3*t**2 + q*t**r + t**2 - 2*t**2.\nAnswer: 3*t*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -113 - -85. Let b = -36 - h. Let l(u) = u**3 + 7*u**2 - 7*u + 2. Give l(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/27)\/(1\/2*-1).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 3*j + 2*g = 172, -237 = -5*j + 3*g. Let l = -43 + j. Let i(o) = -497*o + 497*o + o**l - 3*o**2. Let m(k) = -76*k**2. Calculate m(i(w)).\nAnswer: -304*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iuouuxuuooixuiuoix. What is prob of picking 1 u, 1 o, and 1 i?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23 + -33. Let c = 14.6 + o. Let l = c - 4.5981. What is l rounded to three dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1195758832 from -987.\nAnswer: -1195759819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from drppddrrrrp. Give prob of picking 3 p and 1 d.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1\/2 (b) -26 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 0 - (13 + -21 - -6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3666*q - 994194 = -1901*q - 3154*q for q.\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 149, 144, 135, 122, 105, 84?\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -168785, -337598, -506399, -675188, -843965, -1012730?\nAnswer: -1181483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6777 + -4649. Suppose -3*j = -11*j + c. What is the greatest common divisor of 38 and j?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2*y**2 - 12*y - 123. Calculate the remainder when b(15) is divided by 51.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 148. Let k(s) = -31. Let v(h) = 9*k(h) + 2*u(h). Let b(i) = i - 17. Calculate -2*b(d) - 3*v(d).\nAnswer: -2*d - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1\/118 + -231\/590. Let p = -1.3 - 8.7. Let l = p + 8. Which is the closest to 0? (a) y (b) l (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 + 2. Let c = 61 + -31. Calculate the remainder when c is divided by y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2*l**2 - l**3 - 12*l**2 - l**2 - l**3. Let u(j) = -4*j**2 + 243 - 243 - j**3. What is -6*i(d) + 17*u(d)?\nAnswer: -5*d**3 - 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 14, -126 in decreasing order.\nAnswer: 14, -4, -126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 212*f + 37. Let t(s) = -431*s - 74. Let w(p) = -13*k(p) - 6*t(p). Is w(-3) a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 61.39 + -61. Let l = 0.3967 - g. Round l to three decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -2*c**3 - 25*c**2 + 12*c + 7. Give m(-11).\nAnswer: -488","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-3645)\/42)\/(-9))\/((-650)\/325*(-3)\/14).\nAnswer: 45\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1309, -1342, -1407, -1510, -1657, -1854, -2107, -2422?\nAnswer: -2805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*m + 2*u + 25 = -33*m, 3*u + 10 = 2*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 AM and 2:05 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (146\/48 + -3)\/((-45)\/(-40))?\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 1496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20288?\nAnswer: 2, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + 2*f - 60. Suppose 4 + 1 = z. Suppose -h - f = -z*h. Calculate the remainder when 8 is divided by h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -654*q + 85*q - 1666 = 256*q + 2459 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1952, -1951, -1950, -1949, -1948?\n\"Answer: j - 1953","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -404 - 310 = 212*i - 254*i for i.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uzj when three letters picked without replacement from {j: 3, u: 6, z: 2, x: 6, b: 1}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**4 + 4*l**2 + l - 2. Let y(d) = -14*d**2 + 39*d + 11695. Let h(q) = 4*u(q) + y(q). What is the derivative of h(c) wrt c?\nAnswer: 16*c**3 + 4*c + 43","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 151928 and 65377874?\nAnswer: 5426","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(12)\/sqrt(2))\/sqrt(3) + (sqrt(128) - (-4*(sqrt(128) - (0 + sqrt(128))))**2).\nAnswer: 2 + 9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 213*q**2 + 289*q - 45. Give f(1).\nAnswer: 457","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 9) to base 4\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 50 + -39. Suppose v*o - 360 = 6*o. Suppose -2*g - 45 = -4*g - 3*a, -3*g - 3*a = -o. Calculate the lowest common multiple of g and 30.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.4 + -3.6. Sort 3\/8, 1\/11, o in descending order.\nAnswer: 3\/8, 1\/11, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, -1, -32 in decreasing order.\nAnswer: 1, -1, -4, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 281661 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d - 6 = -0*d. Let j be -18 + 18 - 1\/(1\/d). Let n(r) = -109*r - r**2 - r**3 + j + 53*r + 56*r. Let o(i) = i**2. What is -n(q) - o(q)?\nAnswer: q**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, l: 2, j: 4, t: 3, x: 3, d: 2}. What is prob of sequence jx?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 10*l**2 - 304*l - 181. What is b(31)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 63*t + 1253 - 2009 for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2\/4 + 48255041*b\/2 - 2328548981911681\/4.\nAnswer: -(b - 48255041)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44449 is divided by 545.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -404509 or -404511?\nAnswer: -404511","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 5*a + 6 = -3*g, 2*g = 4*a + 20. Suppose g*j = 4*j - 64. Let n = 10 + -6. Calculate the highest common divisor of n and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 170\/109 in -0.4, -0.11, 5?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -t + 20*t**2 + 28*t**2 + 92*t**3 - 48*t**2 wrt t.\nAnswer: 552*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + 7. Let l(h) = -2*h**2 - 36*h - 9. Let o be l(-16). Calculate the remainder when -2*(-5)\/50*o is divided by a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*m**3 - 2*m + 2*m)*(2*m - 2*m + 2*m) + 2*m**4 + 4*m**4 - 5*m**4 as k*m**2 + v + b*m + y*m**3 + o*m**4 and give o.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of h**5\/30 - 32*h**2. Let y(p) = 43*p. What is j(y(q))?\nAnswer: 3698*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(7))*-2 + -3 - (sqrt(7) - (-1 + sqrt(847)) - (sqrt(175) + 1*sqrt(175))))**2.\nAnswer: -288*sqrt(7) + 2332","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 2*y = 5. Suppose 3*q + 9 = 6*q. Suppose q*i = -11 + 2. What is the closest to 0 in y, i, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -9*j + 10. Let v be 14\/10 + (-23 - 1672\/(-95)). Let x(c) = 17*c - 19. Determine v*x(h) - 7*z(h).\nAnswer: -5*h + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -12\/41 (b) 3\/7 (c) -10\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-29)\/(-9) - 4\/18. Suppose n - v*i = 12, 8 = -4*i + 2*i. Solve 0 = w - n*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 - 2*g**2 + 2*g - 1. Let p be n(1). Suppose i - 4*i + 12 = p. What is the derivative of 0*u**4 - 3 + 5 + u**i + 11*u**4 wrt u?\nAnswer: 48*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -12510*x**2 - 12326 wrt x.\nAnswer: -25020*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 6 + 11 + -23.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*x - 17 + 7 + 8)*(-21 + 176*x - 62 - 177*x).\nAnswer: 18*x**2 + 1496*x + 166","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 172, -4, -0.1, -8\/133, 3 in descending order.\nAnswer: 172, 3, -8\/133, -0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.006392345 rounded to 3 decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 118809 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6739.8561 seconds to hours.\nAnswer: 1.87218225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/12 and ((-4)\/14)\/(-1) - 13769\/6174?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21684 + 21707. Let x = 0 - 0. Which is smaller: r or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -3*p**3 + p**2 - 5*p - 3. Calculate w(-3).\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - 3 - (-10 - -6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -16*w. Let s(m) = -13*m. Let i(z) = 4*h(z) - 5*s(z). Let j be -5*(-24)\/20 + -1. Let u(x) = j + 8 + 5*x - 12. Calculate 11*i(f) - 2*u(f).\nAnswer: f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -696, -1218, -1740, -2262, -2784, -3306?\nAnswer: -3828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 183 = 5*q, -2*q - 18 = -5*i + 75. Suppose 4*a = -l - 7, 2*l - 4*a - a = 12. Let d be q\/(-9) - l\/3. Which is smaller: d or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -93300000 to the nearest one million.\nAnswer: -93000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25145, -24811, -24249, -23459, -22441, -21195, -19721?\nAnswer: -18019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2155.7*-3.\nAnswer: 6467.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((70400\/1155 - 12) + -49)*((-7)\/4 - -1)?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 314419 and 7?\nAnswer: 314419","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -47, 0, 3, 4 in increasing order.\nAnswer: -47, 0, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 - 2*u**2 - u - 6. What is f(-4)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 80\/(-420)*(-14)\/(-36).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 140 = 7*o. Is 14 a factor of (2\/5)\/(1\/o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 208 + -204. Factor 34*g**d - 4*g**4 - 35*g**5 - 8*g**3 + 15*g**4 - 2*g**3.\nAnswer: -5*g**3*(g - 1)*(7*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -3*u**2 - 473*u + 1424. What is o(3)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-81)\/(-1458)*(-108)\/(-192).\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*r**3 - 1568 + 862 + 706 + 300*r**3.\nAnswer: 273*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*g + 348*g + 52*g to x + z*g and give z.\nAnswer: 418","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 206865 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2746367 (base 10) in base 3?\nAnswer: 12011112022022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, w: 1, i: 1, e: 2}. What is prob of picking 2 e?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 8950, 9111, 9272, 9433, 9594, 9755?\n\"Answer: 161*i + 8789","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(1216))*-5 + sqrt(1216)*1 + -2)**2.\nAnswer: -512*sqrt(19) + 19520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 2*x - 3. Let n be w(2). Suppose a = -3*y + n, 0*a = -5*a - 25. Solve y*d + 22 = 4*c - d, -4*c - 4*d = -8 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.003627l in millilitres?\nAnswer: 9003.627","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -16 - 44. Let g = 7 - t. Let p = -13 + g. Is p a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -600*x - 266*x + 149*x = -434 - 1000 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: -206 (base 9) to base 3\nAnswer: -20020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/(-15))\/((-5964)\/(-280)). Let z = -1921\/1278 + l. Which is the nearest to 1? (a) z (b) -1 (c) -2\/33 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - n = -13, 5*r - 22*n + 26*n = 31. Determine g so that -2\/5*g**2 + 0 - 2\/5*g**r + 0*g = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5195041 from -0.0377.\nAnswer: 5195040.9623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the third derivative of -n**4\/24 + n**3\/6 + 6*n**2. Let u(o) = 4*o - 4. What is 7*t(k) + 2*u(k)?\nAnswer: k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 994843 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, c: 11, w: 2, o: 2, k: 1}. Give prob of picking 2 o.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -78099+152\nAnswer: -77947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -74143021\/10 or -7414303?\nAnswer: -7414303","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 2*d. Let f be 10\/4*12\/15. Let g(y) = 2 + 6*y**2 - 4 + f. What is g(c(w))?\nAnswer: 24*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5609*r**5 - 14174*r**5 - 10371*r**5 + r**5 - 4*r**5 + r**5 + (-2 + 2 + 1)*(-2*r**5 + 2*r**5 - r**5).\nAnswer: -18939*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.1512 to zero decimal places.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 + 8 + 326*w + 3*w**2 - 7*w**2 + 5*w**2 to i + d*w**2 + r*w and give r.\nAnswer: 326","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/2*8\/8*-1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/d**(-11\/4)))\/(d*d*d**13\/d*d*d))\/(d**(-22)\/(((d*d**(6\/13))\/d)\/d)) assuming d is positive.\nAnswer: d**(141\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-168)\/(-98) + (45\/35 - 1). Put 1, -14, l, -2 in decreasing order.\nAnswer: l, 1, -2, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*f**2 + 2349256*f - 401605812 = 0. Calculate f.\nAnswer: 171, 587143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -2*(-2*(sqrt(180) + 0 + sqrt(180) + -2 - (sqrt(180) + sqrt(180) + 0 + 1)))**2.\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 14) in base 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 - w**2 + 2. Let v be l(0). Solve -v*m - 1 = -3 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*s = -49*s + 11 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -10*i**2. Let p(k) = 2*k. Let h(f) = 6*f. Let n(j) = -6*h(j) + 20*p(j). Determine m(n(r)).\nAnswer: -160*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -3*c + 4. Let q(z) = -8*z + 7. Let a(d) = -9*j(d) + 4*q(d). Calculate a(-9).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 542174020?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -2*t**3 + 6*t**2 - 3*t - 9. Suppose -94*o + 116 = -36*o. What is q(o)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50052311 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 103.14 + -0.07\nAnswer: 103.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -2895*y + 17645. Calculate x(6).\nAnswer: 275","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -28 (b) 37 (c) -13 (d) 18 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 1 - 36 + 29 + 2*u.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.265, -0.5, -2\/7, 0.13, -20, 2, 5\/4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*h = 3*h + 162 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.33757um in nanometers?\nAnswer: 5337.57","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3360 and 111840.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1653277?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + (-3)\/((-3)\/2). Suppose 5*k - f = 3*a - 11, 0 = 2*a + 2*k. Is 0\/(-2) + a + 66 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 4*c + 49 - 15, 7 = f - c. Let u be 1\/3*f\/(-4). Let m be 1\/4 - 2\/8. Which is smaller: u or m?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddbbiotyobdy. What is prob of sequence yy?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -58 + 60. Suppose f - 4*f = 5*b + 397, 3*b + 266 = -i*f. Let x = 212 + f. What is the remainder when x is divided by 37?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -26*c + 1. Let p be (-2 + (-1 - 3))\/2. What is the tens digit of d(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 5, y: 4, r: 5, j: 1, n: 1}. Give prob of picking 2 u.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does -0.4224 = -1.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.18 * -35\nAnswer: 6.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 9*x**2. Let h(n) = 9*n**2. Let k(s) = -6*h(s) + 5*y(s). Let z(g) = 8*g**2. Let i(l) = -5*k(l) - 6*z(l). Let f(r) = r. Calculate f(i(b)).\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (13 + 224\/(-16))\/(12\/(-72)). Let i be (-3)\/((-3)\/(-2))*-3. Solve 0 = -8*c + i*c - h for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = u - 19. Solve -u*i = -4*i + 4 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -6, 28, 18038, 1, 0 in ascending order.\nAnswer: -6, -2, 0, 1, 28, 18038","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 29*w**2 + 2*w. Let p be v(3). Suppose 2*k + 58 = -l + 165, -2*l = 5*k - p. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12*m**5 - 4255526*m**3 + 352108949*m wrt m.\nAnswer: -240*m**3 - 25533156*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 PM and 3:52 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -247\/1071 - -1\/119. Which is the nearest to 0.4? (a) -3 (b) x (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1236191 is divided by 481.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 - 10 = 5*a. Suppose -8 = a*k - 6*k. What is the smallest common multiple of (-6)\/8 + (-70)\/(-8) and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -4*p + 1. Let y(j) = 13*j - 2. What is 8*i(f) + 3*y(f)?\nAnswer: 7*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1049?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -3*i + 7. Let l be 16\/2 - (-7 + 14 + -4). Suppose z - 27 = -5*p, 3*p + p + l*z - 30 = 0. Calculate f(p).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -77*(-1)\/(-143)*26*-3?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20374864*n**2 + 11*n + 838674 wrt n.\nAnswer: 40749728","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1152)\/(-45) + 329\/235?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 318, 308, 300, 294?\nAnswer: 290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1397, 2791, 4201, 5633, 7093, 8587?\n\"Answer: i**3 + 2*i**2 + 1381*i + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 45459307 and -0.3.\nAnswer: -13637792.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + -2. Let w(y) = -y**3 - 18*y**2 - 19*y - 29. Let v be w(-17). Determine o, given that 1\/2*o**v + 0 + 0*o**2 + 0*o**g - o**3 + 1\/2*o = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -q + 20, -14 - 2 = -4*x + 3*q. Suppose 44*y + 469 = -719. Put y, x, 5 in decreasing order.\nAnswer: 5, x, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23891?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -5*w**3 + 10455*w**2 - 40740*w - 153212800 = 0.\nAnswer: -116, 127, 2080","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(32) + -2)**2 - sqrt(2) - sqrt(2)) + sqrt(2))*-1 + sqrt(32)\/sqrt(4) + sqrt(192)\/sqrt(6).\nAnswer: -36 + 23*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 171 by 57.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r - 7. Let s be t(-8). Let j(c) = 13*c**3 - c. Calculate the remainder when 34 is divided by j(s).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 9*m + 18 = 0. Suppose -12*b = -5*b - 7. Suppose -11 = 2*g + 2*f - 29, 0 = 5*g - f - 15. Sort g, m, b in descending order.\nAnswer: g, m, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15 + 15 - p**3 + (-2 + 4 - 3)*(-p**3 + 2*p**3 + 0*p**3) + 2*p**3 + 4*p**3 + 0*p**3 + 3*p**2 - 3*p**2 - 3*p**3 + p**3 - 2*p + 2*p.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -147. Let o = 218 - x. What are the prime factors of o?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -5*j**2 - 709*j + 7387. Determine b(10).\nAnswer: -203","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -2*i - 2*b + 3, 5 = 3*i - b. Let a be (2\/9)\/(28\/8 - i). What is o in 2\/9*o**5 - a*o**4 - 2\/9*o + 4\/9*o**2 + 0 + 0*o**3 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 250*p + 255*p = 502*p - 4*q - 98, -2*p + 111 = -5*q for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 41 (b) -13\/5 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -154*p**3 + 575*p**2 + 39*p + 5862.\nAnswer: -924*p + 1150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 106741, 209695, 312649, 415603?\nAnswer: 518557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.13 + -0.73. Which is the closest to y? (a) 0.4 (b) -5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000463999 to 6 decimal places.\nAnswer: 0.000046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 2*i = i + 27, -2*o - i = -15. What is the third derivative of -11 + 2*v**6 - 13*v**o + 11 + 11*v**2 wrt v?\nAnswer: -1320*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1282?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27525949?\nAnswer: 11, 2502359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 28.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 3*x**2 - 69*x + 6. Let s be n(23). Let m be 18\/15*4\/s - 1. Which is the closest to 0? (a) 2\/11 (b) -1\/32 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1142920547 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vsgssddvfsdddvs. What is prob of picking 1 v, 1 d, and 1 f?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -26403, 0.3, -4\/3, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*s**2*u**3*y - 6*s**2*u**3 - s**2*u**2 + 3*s*y + 40*u**2*y wrt u?\nAnswer: 12*s**2*y - 36*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1038 = -213*i + 27. Solve -151*l + r - 2 = -156*l, i*l - r = 8 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 - 11*j**2 + 12*j. What is u(-12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3\/2)\/((-2)\/4) - 65. Let f = 67 + r. Let x(q) = 877*q**2 + q + 1. Is x(f) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h + 4*h - 5*h - 4 + 3*h. Let w be x(3). Is -1 greater than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c**5\/4 + 24*c**4 + 199*c**3\/2 + 51*c**2 - 397*c\/4 - 75 = 0. Calculate c.\nAnswer: -3, -1, 1, 100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75583 = -5*o + 20197. Suppose o = 13*u - 30777. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 24 = -j + 32, 2*m + 4*j = 32. Factor 0*h**3 + 0 - 2\/9*h**2 + 2\/9*h**4 + m*h.\nAnswer: 2*h**2*(h - 1)*(h + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29501.\nAnswer: 29501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2070 and 710010.\nAnswer: 710010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -239 (base 12) to base 10.\nAnswer: -333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -19 (b) -2\/19 (c) -1\/3 (d) 1433\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -14*v. Let y(f) = 61*f**2. What is d(y(x))?\nAnswer: -854*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -156586, -5\/7, -6, -4?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -628 - -634. Is 9 a factor of r*-1 - (1 - -770)*-1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(1\/7)*c*c)\/(c*c**6*c*c*c))**(-2\/147) assuming c is positive.\nAnswer: c**(110\/1029)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 32 - 20. Let v(m) = m**3 - 11*m**2 - 12*m + 9. Calculate the remainder when v(u) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 + 1. Let s be h(5). Let m be 93\/18 - (-4)\/s. Let j(z) = 2*z - 3. What is j(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100 + -2101121?\nAnswer: -2101221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l - w + 268 = -2*l, -46 = -l - 4*w. Suppose 22*p = 23*p - l. What is the remainder when p is divided by 22?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 133770?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -3*r + 0*r + r. Let k(b) = 3*b**2 - 1. Let i be k(1). Let l(z) = -3*z + z**2 + z + i*z. Give u(l(m)).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = g - 18, -2*g = -0*q - 2*q - 28. Solve -3*j = j + g for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hlhhqqhqhhqqhfqqhqgh. Give prob of sequence qqlf.\nAnswer: 7\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 - 12*o**2 - 31*o + 22. Let x be m(-5). Solve x*l = -2*l - 16 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*v - 145948 + 146248 = 0 for v.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and -13.\nAnswer: -5.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6803021 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, r: 1, g: 2, p: 3, j: 4, x: 6}. What is prob of picking 2 p?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2*t + 32. Let i be b(-9). Suppose -116 + i = -j. Calculate the greatest common factor of 6 and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 54 and 51609636.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 18*v**3 + 3 + 16*v**3.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 + 0)*1\/(-10). Let s(i) = 2*i**3 - 6*i**2 - 5*i + 4. Let h be s(5). Let j = h - 556\/7. What is the closest to -1\/4 in 4, j, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6063789?\nAnswer: 3, 23, 87881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.0279 and -3728864007.\nAnswer: -3728864006.9721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0008157269 rounded to 6 dps?\nAnswer: 0.000816","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 409 = 409?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77 is divided by 42?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 - 4*g**2 - 22*g + 1. Give c(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*f**2*k*v**2 - 20537*f**2*k - 3*f*k*v - 8*f*v**2 + 198*k*v**2 wrt f.\nAnswer: 16*k*v**2 - 41074*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 72\/(-16) - 16\/((-352)\/847). Sort 1, 4, r, -3, -4.\nAnswer: -4, -3, 1, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 2\/4131?\nAnswer: 2\/4131","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -8964681*q**2. Let l(j) = -11*j. Determine x(l(d)).\nAnswer: -1084726401*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 9:46 PM?\nAnswer: 1:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -14858 - -5?\nAnswer: -14853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 0*i + 5*i - 3*i + 2*i**2 wrt i.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 253497536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 900000 to the nearest ten thousand.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 94 + (-1*(-1 - 0) - 3). Suppose 92 = -2*j + a. Suppose j*b + b = 191. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of -k**5\/60 - 5*k**4\/24 + k**3\/6 + k**2. Suppose -4*f + 16 = -8*f. What is the remainder when 14 is divided by p(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 134537660 to the nearest integer?\nAnswer: 11599","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -89080, -88977, -88874, -88771?\nAnswer: -88668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 82*q - 9. Let y(u) = -41*u + 4. Determine -2*w(l) - 5*y(l).\nAnswer: 41*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -22\/19, 5, -2635, 0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 4*n. Let k(p) = -p - 12*p**2 + 35*p**2 + p + 4*p - 6*p. Give k(t(u)).\nAnswer: 368*u**2 - 8*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10\/75*(-10)\/14. Which is the biggest value? (a) 0.5 (b) l (c) 13 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3761812399 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of r**6\/120 - r**4\/8 + r**3\/3 - r**2. Let c = -5 + 9. Let y be g(c). Round y to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -4*i**2 - i. Let b(v) = -2*v - 1. Let m(t) = 17*t + 9. Let a(r) = 18*b(r) + 2*m(r). What is a(s(o))?\nAnswer: 8*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of u**4\/24 + u**2 - 3*u. Let j(y) be the first derivative of f(y). Let i(p) = 2*p**2 + 4 - 4. What is j(i(r))?\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -33*q - 103 - 95 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -4*o + 67, 4*o - 50 = -o - 3*p. Put -3, -1, o, -4 in ascending order.\nAnswer: -4, -3, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -111a1 (base 11) in base 10?\nAnswer: -16204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 25362431.\nAnswer: -2536243.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2. Let w(b) = -3459019*b. Give i(w(q)).\nAnswer: 11964812442361*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 19251 divided by 3?\nAnswer: 6417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f + 5. Let h be g(0). Put 1, h, 2, -3 in increasing order.\nAnswer: -3, 1, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of -3*c**6\/2 + 15*c**3\/2 + 12*c - 1. What is the second derivative of o(p) wrt p?\nAnswer: -540*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 964, -26661 in descending order.\nAnswer: 964, -4, -26661","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the third derivative of -1\/336*x**8 + 0 + 0*x + 0*x**3 + 0*x**7 + 1\/12*x**4 + 0*x**6 + 0*x**5 + 2*x**2. What is the second derivative of z(n) wrt n?\nAnswer: -20*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 e when three letters picked without replacement from odooosoes.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -565.8 + -199.405?\nAnswer: -765.205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1280, 1571, 1862?\n\"Answer: 291*f + 989","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**2)\/y*y*(y\/((y\/(y**(-3)*y))\/y))\/y)**(-16)\/((y**(-2))**0)**(3\/11) assuming y is positive.\nAnswer: y**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 1 + 86 = 5*r, 4*r + x - 47 = 0. Suppose -r*v + 219 = 50. Is 13 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, -0.2, 5, 3\/2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1407 is divided by 352?\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(25)\/sqrt(5) + 0)**2 - (3 + (-3 + 1 + sqrt(5))**2 + sqrt(5)).\nAnswer: 2 + 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -r - r. Let v(l) = 2*l - 4. Let u be v(3). Suppose 4*i = -4*z + 8, -i + r*z - u = -7. Solve -4*n + 35 = -i*g, 0 = -3*g - 4*n + 5 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 44042?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5046)\/(-42) + -4 + 2\/(-14). Let y be j + -7 + (3 - 4). What is the greatest common factor of 162 and y?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 193651?\nAnswer: 197, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t. Let u(i) = 64*i**2 + 608*i + 28. Let w(v) = 7*v**2 + 68*v + 3. Let g(j) = 3*u(j) - 28*w(j). Give g(y(p)).\nAnswer: -4*p**2 - 80*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36 - 38)\/(0 + (-4)\/6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.06 times 130.1\nAnswer: 7.806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(2) + -5 + sqrt(14)\/sqrt(252) - ((sqrt(60)\/sqrt(6))\/sqrt(5) - 5*(sqrt(12)\/sqrt(6) - sqrt(2)))) + 0.\nAnswer: -6 + sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1767827328 to the nearest integer?\nAnswer: 1209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 AM and 6:15 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -1\/3 (b) 2 (c) 1\/21 (d) 0.007\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 z when three letters picked without replacement from {z: 13, w: 1, y: 3}.\nAnswer: 39\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -29*h - 529. Let m be q(-45). Let x = m + -247. List the prime factors of x.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 31492 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8610\/17 or -507?\nAnswer: -8610\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 208 and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence blbl when four letters picked without replacement from {r: 6, b: 1, l: 6, u: 4}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -462966 by -1533.\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 29 - 33. Suppose -4 = -3*i + 29. Let b = 12 - i. Put o, -2\/7, b in decreasing order.\nAnswer: b, -2\/7, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1277 by 20.\nAnswer: 1277\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11)\/((110\/(-12))\/(300\/7380))?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*u - 3*u - 5*d + 40, -5*u + 2*d - 33 = 0. Let y(g) = g. Let b(r) = -2*r + 0*r - 5*r. Let t(m) = u*y(m) - b(m). Let l(s) = -3*s**2. Give t(l(v)).\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8be1bb - -2?\nAnswer: 8be1bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 + k. Let x(t) = -t**2 + 3*t. Let f(n) = -3*j(n) + x(n). Let g(l) = 57 + 2*l - 57. Calculate g(f(v)).\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, -3, 4, 27, 72, 145, 252, 399?\nAnswer: 592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-12)\/(-2)*(-6)\/(-9). Suppose -m*d + d = -9. Put -2, d, 5 in descending order.\nAnswer: 5, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 5*t - 10 = 0. Let l be t\/(-8) + (-11)\/(-4). Suppose 0 = 3*f + j + 3 - 16, 0 = -5*f - 2*j + 22. Solve -l*o + 2*o = f for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 1:35 AM?\nAnswer: 10:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1.5, 27, -0.1573, 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 9 - 31 + (4 - 3 + 1)*(2 - 1 - 3) + 1 - 2 + 3)*(3*g**4 + g**4 + 2*g**4).\nAnswer: -240*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 24120731 divided by -11\nAnswer: -24120731\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -101 divided by -210319.\nAnswer: 101\/210319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.05 + 6.05. Let m = j - 7.09. Let z = m + 0.09. Is -1 at most as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6789 - -6877. Calculate the greatest common factor of 13112 and h.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 241 and 9.\nAnswer: 2169","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0444501459 to four dps.\nAnswer: -0.0445","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -30.2 and -2030.8?\nAnswer: 61330.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 33480 (base 11) in base 3?\nAnswer: 2110111212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.13 + -3.13. Which is the third smallest value? (a) 0.3 (b) h (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(2\/23)*h*h**(3\/7)*h*h\/(h*h**(-1\/11)*h)*(h*h\/(h**(1\/2)\/h))\/h assuming h is positive.\nAnswer: h**(11003\/3542)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -3*a + 6. Let o(y) = -2255*y - 1790. Let v(l) = -o(l) + 2*s(l). What is the derivative of v(f) wrt f?\nAnswer: 2249","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 + 8*v**2 - 7*v + 6. Let r be d(7). Let a be 99\/132 + (-33)\/(-4) - 5. Put r, a, 5 in ascending order.\nAnswer: a, 5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -m**3 + 131 - 2*m**2 + 2*m**3 - 3*m**3 - 22 + 42 to h*m**3 + z*m**2 + v*m + j and give j.\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 165203141 a multiple of 929?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.0619845 to 1 decimal place.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1187, 4796, 10811, 19232, 30059, 43292?\nAnswer: 58931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*n**3 + 18 - 17*n**3 - 18.\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 135 and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 + -13. Suppose 0 = -5*n - 5, 2*y + u*n = 5*y - 11. Is 7 a factor of 1*((7 - 2) + y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(484) + 5*(sqrt(484) - (-1*sqrt(484) + sqrt(484))) - sqrt(484))\/(sqrt(11)*-2*2).\nAnswer: 15*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkppppppppkpkp. What is prob of picking 3 p?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v - 2243 - 257 + 2*v - 6448.\nAnswer: 4*v - 8948","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-2)\/128*-670 - (7 - 0))\/3 and (-2091)\/1512 - 4\/(-18).\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1053267 to the nearest integer?\nAnswer: 1026","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 9*n**2 - 7*n + 4. Let g be v(3). Calculate the greatest common factor of 16 and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(10\/(-12) - -1). Let p = -4 - o. Suppose 6 + 0 = p*g - 2*y, -4*g - 12 = 4*y. Solve g*s + 3 = s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 611335 is divided by 611333?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 10931*h - 10937*h - 8 - 1 = -1, -4 = -5*m - 4*h for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*s + 5*l + 4, 52*l = s + 47*l - 16 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 658648 is divided by 3944.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2491370310 a multiple of 143?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (360 - 53*a - 360)*(-2 + 5 - 1) as o*a + h and give o.\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7557 is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -1. Suppose n*p = 60 + 5. Find the third derivative of -25*m + 10*m**2 + m**3 + p*m + 12*m wrt m.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (304\/(-5928))\/((-27)\/39)?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*-2*9\/(-6). Is (4\/l)\/(4\/318) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 2*j = -20. Suppose -j*d + 5 = -3. Calculate the remainder when d is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 20b92 - -3?\nAnswer: 20b95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the second derivative of y**5\/10 - y**4\/12 - y**3\/3 + y. Let c = 4 + -1. Suppose 3*q = -12, -7*q - 26 = -c*s - 2*q. Determine u(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -2*o + 2*y + 982, -3*o - 5*y + 1469 = 0. Is o\/(-2)*(8\/(-1) + 6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -74, -299, -674, -1199, -1874, -2699, -3674?\nAnswer: -4799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -125, -239, -329, -383, -389?\n\"Answer: 2*n**3 - 128*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvyyvvvvvy. Give prob of sequence yvyv.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/75 of a week in seconds?\nAnswer: 16128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 2*s + 0*s + 204 = 0, -616 = -3*k + 2*s. Let p be k\/40 - ((-8)\/(-20) + 0). Is 5 != p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1778 is divided by 588?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 3:26 AM?\nAnswer: 2:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -217*x - 33 = -5489 + 31. Solve 0 = 31*h - x - 68 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*u**2 + 12*u**2 - u**4 + 4*u**3 - 17*u**2 - 4 - 2*u**3 to the form k*u + d*u**3 + v*u**2 + p + j*u**4 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 10*x**3 + 2*x**2 - x. Let p = -1 + 5. Suppose -4*r + p*b - 3 = 5, 2*b - 5 = r. What is the tens digit of g(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/966 and -5\/384.\nAnswer: 61824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, w: 10}. Give prob of sequence wwwo.\nAnswer: 120\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + p = 5*i + 15, -i - 3 = -4*p. Let v(b) = -b + 5. Let n be v(7). What is the nearest to -2\/3 in i, 1, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 5:08 AM?\nAnswer: 11:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 + f**2 + 8*f + 1. Let k(i) = i**3 - 7*i - 2. Let r(u) = -3*c(u) - 4*k(u). Suppose -5*v = 24 - 4. What is the units digit of r(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 3*x + 7. Let s be y(-2). Let p = 3 - s. Suppose -w - 3*c = -p*c - 10, -4*c + 12 = 0. Calculate the greatest common divisor of 35 and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 2 o, and 1 r when four letters picked without replacement from oorgyryoqyyoqoyyqqqx?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-27)\/(-3))\/((-3)\/(-2)). Suppose 2*d + 24 = c*d. Let l(q) = q + 1. Let i(v) = -v**2 - 5. Let z(k) = -i(k) - 5*l(k). Give z(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*f + 841 = -3*c + 105, 0 = -5*c + 4*f - 156 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 + o**2 + 1. Let j(y) = -y**3 + y**2 - y. Let g(n) = 2*h(n) - j(n). Let p be g(0). Let w be -1 + p\/6*3. Which is smaller: 3\/5 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 455293?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/1755 and 73\/1143558.\nAnswer: 5717790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11111001011100000101 + -101?\nAnswer: -11111001011100001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**3)**39\/(d**20\/d**10))**40 assuming d is positive.\nAnswer: d**4280","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -i**4\/4 + 7*i**3 + 7*i**2\/4 - 101*i\/2 + 42 = 0.\nAnswer: -3, 1, 2, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (25 + -5)*12*4\/15. Solve g*y - 4 = 65*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 297 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cici when four letters picked without replacement from iiiciciciiiiciiiii?\nAnswer: 91\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1124901407 a multiple of 83?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhhhhhhhh. What is prob of sequence hhh?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (82*i**2 - 13*i - 192*i**2 + 2 + 100*i**2)*((1 - 1 + 2*i)*(-2 - 1 + 1) - 2*i + 5*i - 4*i - 3*i - 3*i - i) + 3*i + 2*i**3 - 3*i.\nAnswer: 122*i**3 + 156*i**2 - 24*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1236190231 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-3)*k**(-4\/3)*k)**(2\/13))**(4\/15) assuming k is positive.\nAnswer: k**(-16\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 19399 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*u - 5*p + 162 = 273, 74 = 3*u - 2*p for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -222*f**2 - f - 2. Let o(m) = 3. Determine k(g) + 2*o(g).\nAnswer: -222*g**2 - g + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -88 + 904. List the prime factors of n.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101001001 - -101?\nAnswer: 1101001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2046 and 1302.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27476, 110011, 247606, 440267, 688000, 990811?\nAnswer: 1348706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i**5\/19 + 42*i**4 - 23630*i**3\/19 + 120018*i**2\/19 - 169092*i\/19 = 0. What is i?\nAnswer: -427, 0, 3, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4176 - -9967. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i**5 - 86*i**3 + 86*i**3 + 4*i**3 - 4*i**3 + 6*i**5 + (2*i**4 - 3*i**4 + 0*i**4)*(0*i + 3*i + 0*i).\nAnswer: i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7095 and 17325.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.51 - 54.71. Let m = d - -52. Let k = -2.9 + 3. Sort k, 2\/9, m in increasing order.\nAnswer: m, k, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 6298.901 years?\nAnswer: 75586.812","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3525302 * -5.\nAnswer: 17626510","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3*(-1 - (-519)\/(-9)). What is the greatest common divisor of 22 and d?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1466813?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*c - 4*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1736049207 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 7*s + 80. Let y be v(-11). Sort y, -2, -33 in ascending order.\nAnswer: -33, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and -57551.\nAnswer: -28775.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 AM and 9:15 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of 5*p**9\/168 + p**5\/12 + p**2. Find the third derivative of l(m) wrt m.\nAnswer: 1800*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/224752 and -97\/26408360.\nAnswer: 52816720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/893 and 24\/11.\nAnswer: 9823","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 + 20*m**2 + 46*m - 30. Let a be f(-17). Is (-11)\/(a\/(-4695)) + 3 + -3 a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - -14 - (-1 + -1) - -2 - 3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5)\/(-3) + 4\/(-6). Let d(h) = -h**2 - 16*h + 1. Let u(c) = -2*c. Let k(y) = -3*d(y) + 24*u(y). Let l(j) = -1. Give z*k(t) - 3*l(t).\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5174255, -5174274, -5174305, -5174348, -5174403, -5174470, -5174549?\nAnswer: -5174640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 989310?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-10)\/35 - 2\/(-7). Suppose u = -x - 0 + 6. Let l = 15 - x. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 6*(5 + sqrt(128)))**2.\nAnswer: 2400*sqrt(2) + 5233","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 202 + -105. Let p = -92 + d. What is the closest to 0.5 in 1, 2\/5, p?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - -122?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 + 18. Let d(f) = f. Let m be d(n). Solve 4*z = 5*u + 18, -u + z = 5*z - m for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 5 + 2 - 5*j**2 + j**3 + 2 + 0. Calculate the smallest common multiple of 10 and l(5).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 3895.21 grams?\nAnswer: 0.00389521","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v + 17. Let g be (155\/25 - 4)*-5. Calculate w(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/107 and 23\/856.\nAnswer: 856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 + 2*d**2 + 2*d + 1. Let v be b(-1). Suppose 4*y + 7 - 63 = v. Let z = 45 + -31. Calculate the greatest common factor of z and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -73930 - -74356.179. Let r = q - 426. Let s = 18.221 + r. What is s rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 159284987 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*j**2 + 2*j**2 - 13*j**2 + 5*j**2 - j**2.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 5, -1 in descending order.\nAnswer: 5, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 486399726?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2348 (base 9) to base 14\nAnswer: -8c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + 180?\nAnswer: 17d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000008988968 rounded to six decimal places?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.39746 + -0.09581.\nAnswer: 0.30165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -587 + 590. Suppose 0 = 3*a - 6 + 3, -l - r*a = -23. Let k = 70 + -1. What is the remainder when k is divided by l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -4*u - 6578, 5*u = -8*k + 6*k + 6614. What are the prime factors of k?\nAnswer: 3, 7, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -51.478 and -3.\nAnswer: 154.434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -5402\/515 at least -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 208844484 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 330 + -328. Suppose -3*n - 867 = -p*h, h - 4*n - 616 = -190. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -543 divided by 4.\nAnswer: -543\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 39 in 2, -3\/10, -1, 0.08, 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + -1 + 4 + -2. Let k be 0\/(-1) - 3 - 28\/(-14). What are the prime factors of l + 6 - (2 - k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*n**4 + 58*n**3 + 3099*n?\nAnswer: -108*n**2 + 348*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*d**3\/5 - 3148*d**2\/5 - 3756*d - 28116\/5 = 0. Calculate d.\nAnswer: -781, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*l - 5*w + 6125, -3*l - 577 = w - 2866. Solve l - 856 = 24*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k. Let v(y) = 3669*y. What is b(v(n))?\nAnswer: -3669*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = -4*z - 66. Sort 3, z, -9 in descending order.\nAnswer: 3, z, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 985, 987, 989?\n\"Answer: 2*y + 983","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3 - ((1 - -1) + 0)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 + -2 + 4 - -4. Let p be 3\/(k\/((-280)\/(-6))). Calculate the greatest common factor of p and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -82177008, -82176998, -82176974, -82176930, -82176860, -82176758, -82176618, -82176434?\n\"Answer: o**3 + o**2 - 82177010","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2\/35, 0.2.\nAnswer: -2\/35, 0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2*p**2 + 311*p - 9658. Calculate u(30).\nAnswer: 1472","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.28 + 0.72. Which is the nearest to y? (a) -2 (b) -5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2188 + -722. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 93) + (2 - -1) + (-9 - (-30 - -23))\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 485 or 21815?\nAnswer: 21815","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 - 5*z + 2. Let h be c(5). Let g = -7 - -7. Is g != h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 56*a + 46*a + 408 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*r - 2 + 1 + 1.\nAnswer: 19*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 - 3*c**2 - 3*c - 5. Give j(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1165?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -q**4 + 7*q**3 - 5*q**2 - 12*q wrt q.\nAnswer: -24*q + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*b = -62*b + 1185950. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6173487\/7 or 881928?\nAnswer: 881928","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nyeynrneounyrruru. What is prob of picking 1 y and 1 e?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 5 = 17. Suppose 34 - v = 5*c. Calculate the remainder when 9 is divided by c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4633 = 33*v - 36*v + 2*c, -5*c - 6182 = -4*v. What is the hundreds digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the second derivative of y**7\/294 - y**5\/14 + 5*y**4\/21 - 5*y**3\/14 + 2*y**2\/7 - 33*y. Find n such that u(n) = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 518076 divided by -533?\nAnswer: -972","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1364, -2711, -4032, -5327?\n\"Answer: 13*q**2 - 1386*q + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -19? (a) 0.3 (b) -0.3 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 - 6*q**2 - 4*q + 7. Let h be w(-5). Let o be ((-4)\/(-10))\/((-7)\/(-21)). Factor -4\/5 + o*b - 2\/5*b**h.\nAnswer: -2*(b - 2)*(b - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of p - 8*p - 15*p**3 + 7*p**3 + 4*p**3 wrt p?\nAnswer: -24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 246989484?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 2 = -4*t, 0 = a + t - 12. Calculate the remainder when 8 is divided by (a + -9)\/((-2)\/(-4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 818, 819, 820, 821?\nAnswer: 822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7736*h + 5441 wrt h?\nAnswer: 7736","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-279 - 207 - 10)*(-2*d + 5*d**3 - 5*d**3 + d**4 + (-d**4 - d**2 + d**2)*(0 + 2 + 0)).\nAnswer: 496*d**4 + 992*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 6*u**2 + 2*u - 2. Let t(h) be the second derivative of h**4\/12 - h**3\/6 + h**2\/2 + 25*h + 2. What is 2*t(s) + x(s)?\nAnswer: 8*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 8*j**2 + 5*j**2 - 2 - 3*j - 14*j**2. Calculate n(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(5*1\/5)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -832.7 - 232.672806?\nAnswer: -1065.372806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -104 - -148. Suppose 1 = -5*l - c. What is the common denominator of 1 and 1 - (29\/l)\/1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -111628*m + 4*m**5 - 159*m**2 - 111629*m + 223255*m + 1 - 369*m**3 wrt m?\nAnswer: 240*m**2 - 2214","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -872, -527, -170, 199, 580?\n\"Answer: 6*c**2 + 327*c - 1205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1836 + -0.18. What is t rounded to 3 dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*u**3 + u**3 - 3*u**3)*(-695 + 82 - 1204 + 190) as z + v*u + b*u**2 + h*u**3 and give h.\nAnswer: 3254","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -46064886 divided by 6054\nAnswer: -7609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -957*r + 242*r + 20074 + 78760 - 22329 for r.\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2*j + 2 - 2)*(6517 + 3523 + 67) - 2*j - 3 - 1 + 0)*(0 - 4 + 0) as q + l*j and give q.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 11200029?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 + 644*g. Let u(r) = -429*r. Let y(w) = -5*k(w) - 8*u(w). Find the second derivative of y(z) wrt z.\nAnswer: 30*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7472 = 5*h + 9*o - 11*o, -5*o - 5964 = -4*h. Calculate the greatest common factor of 352 and h.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21824?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 360*-121\nAnswer: -43560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 1464 + 276 = 0. Suppose 12*d - 2904 = -b. Is 19 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34229 is divided by 55?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.07 + -5.07. Let v = h - -5. Let s = 14 + -14.3. What is the second smallest value in -5, s, v?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*-80)\/(-8)*-17*55\/(-1870).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.54 + -0.96. What is the nearest to 0 in 0.1, 3, q?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.8766541 rounded to 4 dps?\nAnswer: 1.8767","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 3*m = -12, -2640 = -4*v + 8*m - 2612 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*b**2 - 625 + 625 - 8*b**2.\nAnswer: -8*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 137002?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/15)\/(654\/26160)*-2?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.58 + 0.36. Is v > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 553042246?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1534387?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 8) to base 16\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xgmg when four letters picked without replacement from {v: 1, g: 2, x: 4, e: 1, m: 1}?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 1:11 PM?\nAnswer: 10:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x - 1. Let l(t) = 20*t - 3. Determine -l(j) + 5*m(j).\nAnswer: -15*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 147686921?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.53 + 0.33. Let t = 10 + -5. Let i = -4 - -8. What is the second smallest value in 3, v, i, t?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5728103?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 406569954, 406569955, 406569956, 406569957, 406569958?\n\"Answer: f + 406569953","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 159*b + 73 = 5934 - 1250 for b.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*(i\/i**(-2\/7))\/i*i)**(-2\/33)*(i\/i**1)**17 assuming i is positive.\nAnswer: i**(-32\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 703*i = 716*i - 1820. What is the lowest common multiple of i and 735?\nAnswer: 2940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14181930?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119) - sqrt(119)*5)*-2)\/(sqrt(21)\/sqrt(192)).\nAnswer: 64*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -83584 and -72395.\nAnswer: -155979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 867776 and 104.\nAnswer: 867776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-14)*70\/(8 + -18).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 - -3)\/(17\/34). Let w(c) be the first derivative of -21\/2*c**l - 24*c - 11. What is the first derivative of w(j) wrt j?\nAnswer: -21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/(s\/(s\/s**(-1\/5))))**38 assuming s is positive.\nAnswer: s**(418\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 5*c + 15 - 0, -v + c + 5 = 0. Solve 3*q - 4*a + 4 = 0, -q + 3 = -v*a + 8 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 6 - 1. Let y(h) = -2*h - 14. Let m be y(-9). Suppose -65*z = -90*z + 68*z - 1333. Sort z, t, m in decreasing order.\nAnswer: z, m, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 - k**2 - k - 2. Let q be a(-2). Suppose -4*b + q = -2*b, 5*b = 3*s - 11. Does 2 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13929 - 612835\/44. Calculate the common denominator of 42\/11 and h.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 440274 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/299048 and -45?\nAnswer: 299048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of u**4\/6 - u**3 + 3*u**2\/2 - 2*u - 4. Let p(z) be the first derivative of w(z). Give p(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 180 and 80?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.5183 rounded to 0 dps?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/33? (a) -2 (b) 2\/7 (c) 0.3 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -4*f - 18. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 243988.\nAnswer: 975952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2\/924175210748289 - 211798660728198114230377\/277677683821430912940. Let v = u - -2\/75115. Let d = v + 752. Find the common denominator of d and -17\/3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15406 is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 - 3. Is 12\/30 - v\/5 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, p: 2, v: 2, f: 1, b: 3, e: 2}. What is prob of picking 3 p and 1 b?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(300) - (1 + sqrt(300) + -5)**2 - (sqrt(300) + -1)**2*-2 - (3*sqrt(300) + -2 + sqrt(300))**2*-2).\nAnswer: -270*sqrt(3) + 9898","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 782742 to the power of 1\/2, to the nearest integer?\nAnswer: 885","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of 4\/5*n**5 + 0*n + 0*n**2 + 0*n**4 + 3 - 4\/3*n**3. What is the third derivative of a(w) wrt w?\nAnswer: 96*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 AM and 8:01 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*u + 35 = -4*b + 13*u, -b = 4*u + 17 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 252, -51.\nAnswer: -51, -3, 252","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 18\/5 of a minute?\nAnswer: 216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.629009 rounded to 2 dps?\nAnswer: -2.63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/15)\/(8\/20). Let u be (-5)\/16 + (-3)\/(-9). Is u at least as big as s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -36811885 to the nearest 100000.\nAnswer: -36800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of x**6\/90 + 87*x**5\/20 - 1055*x**4\/36 + 147*x**3\/2 - 265*x**2\/3 - 2563*x. Factor u(g).\nAnswer: (g - 2)*(g - 1)**2*(g + 265)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4146598548.\nAnswer: 2, 3, 5503, 6977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 59\/4 of a meter?\nAnswer: 1475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000014996022 rounded to 7 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -50\/91 and 85\/14.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 110026951?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 7:57 AM?\nAnswer: 4:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - w = -1795, 0 = -g + 4*g - 5*w - 2686. Suppose o + 9*h - g = 7*h, 2*o - 4*h = 1762. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and -157.61.\nAnswer: -63.044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 718 - 715. Suppose 19 - 13 = t*r. Solve -g - 5 = 4*g - f, 0 = -r*g - 2*f - 14 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 313 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39 + (-43 - (3 - 27)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 62.52254?\nAnswer: -6.252254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -8*z + 10*z - 94, 2*p - 101 = 5*z. Solve p*o = 83 + 157 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 224 divide 138012935?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 7*t - 1. Let z be u(-3). Let i = -2 - z. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 - 8*n**2 + 10*n - 7. Calculate f(7).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-3\/4)*a*a**(9\/7))\/(((a*a**(-21))\/a)\/(a**(-20)*a)))**49 assuming a is positive.\nAnswer: a**(693\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of 3*k**5\/5 - 66*k**3 + 1089*k**2\/2 + 3*k - 3918. What is the second derivative of a(t) wrt t?\nAnswer: 36*t**2 - 396","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fgwwkwbbkwwkgkw. What is prob of picking 1 g and 1 k?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1286.5 + -1287. Let d = -222\/7 + 32. Suppose 0*x + 3 = 3*x. Sort d, x, p in decreasing order.\nAnswer: x, d, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 323445.\nAnswer: 3, 5, 21563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - 1) + (10 - (-9 - -17)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 9*l = -4*s - 9, 0 = 4*l - 4*s - 8 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2469766 by 94991.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2*n. Let k(g) = 8*g**2 - 6*g**2 + 2*g**2. Determine h(k(y)).\nAnswer: 8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 391*z = 397*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 765, 756, 747?\nAnswer: 738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10.489998109 + 10.49. Round a to seven decimal places.\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*s**5 + 2*s**5 + 3*s**5 + (22*s**4 + 96 - 96)*(0 + 0 - s + (2 - 5 + 4)*(0*s + 4*s - 2*s) - 5*s + 3*s + 3*s - s - 2*s + 4*s) + 0*s**5 + s**5 - 3*s**5.\nAnswer: 65*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*n + 273 - 57. Let d be ((-63)\/n)\/(1\/4). Let y(c) = 12*c**2 + 3*c - 10. Is y(d) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 688596876*b**3 - 88531876*b?\nAnswer: 4131581256*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((sqrt(1700) - (sqrt(1700) + sqrt(1700) + 1)) + sqrt(1700))*-2*-4 + (sqrt(1700) + 5 + (sqrt(1700) - sqrt(1700)*-1) - sqrt(1700))*3)**2.\nAnswer: -244996 - 3360*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, -18, -35, -70, -129, -218, -343?\nAnswer: -510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**2)**(-3\/7)\/(f**(1\/2)*f*f*f\/(f**(-2\/41)\/f)*f))**(4\/5) assuming f is positive.\nAnswer: f**(-7354\/1435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 84544255?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15654771?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -2*z**2 - 12*z + 32. Give b(4).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 170042?\nAnswer: 2, 85021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 7*g + 85. Let d be r(-13). Is ((-100221)\/(-99))\/(-2 - 14\/d) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -168.945 - -126.6.\nAnswer: -42.345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 28\/2*2*3\/(-12)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14605 is divided by 228?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1785144?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.24 and -362949.\nAnswer: -87107.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*d**4 - 43 + d**3 + 74 - 30 - 2*d**2 - 2*d to the form l*d**4 + k + u*d + h*d**2 + g*d**3 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 3:34 PM?\nAnswer: 1:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13203228?\nAnswer: 2, 3, 37, 131, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -211837 - -106.728\nAnswer: -211730.272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3206746383?\nAnswer: 3, 1231, 868331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50727 = -50*h + 47*h. Suppose -5064 = 23*n - h. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*(k**(4\/9)\/k)\/k*k)\/k)**(8\/7) assuming k is positive.\nAnswer: k**(-40\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -123 - (14658 + -14738)\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of d**4\/3 + 10*d**3\/3 + 8*d**2 + 12*d. Let u(o) = 0. What is o?\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 1)*(-k**5 - k**3 + k**3) - k**5 + 0*k**5 - k**5.\nAnswer: -5*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*s + 25*s - 80. Let u = 19 - s. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135052*h - 4 = -135050*h, -4*p = h + 6 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + i - 17 = -4*i, 0 = q - 3*i + 15. Let k(p) = -2*p - 4. Let u be k(q). Find the third derivative of 11*y**4 + 7*y**2 - 4*y**4 - 3*y**u wrt y.\nAnswer: 168*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (9 - -1 - 10)\/1. Solve -14*i + 14 - 28 = t for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-20) - 61\/(-5). Suppose -y = -4*q + q. What is the remainder when 35 is divided by q\/(-18)*-3*18?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 212, 1148, 3504, 7994, 15332, 26232, 41408?\nAnswer: 61574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f + 177 = -127. Suppose 2*a = -0*a + 32. Let q = a + f. 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: How many micrograms are there in 1.34332ng?\nAnswer: 0.00134332","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*k + 7*k**2 - 8*k**2 + 35*k.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(70)\/sqrt(32))\/(sqrt(63) - (sqrt(378)\/sqrt(6)*-2 + sqrt(63) - sqrt(63))).\nAnswer: sqrt(5)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1 * 0.038\nAnswer: -0.038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/10 and -143\/420.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32542340 and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 - 5. Let w = d - 4.8. Let n = -29\/42 - -4\/21. Which is the nearest to 1? (a) n (b) w (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.7020942g?\nAnswer: 702094.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 - 9*g. Let n(d) = -5*d**2 + 45*d. What is 11*f(i) + 2*n(i)?\nAnswer: i**2 - 9*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3960165489.\nAnswer: 3, 7, 431, 437539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) 0.335 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 38778?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 PM and 9:20 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 29 = -x, 2 = 4*x - 8*a + 46 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 3:03 AM?\nAnswer: 2:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or 131?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are 61 and 64 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 72252209 and 34285?\nAnswer: 361261045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-five quarters of a millennium?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((sqrt(147)*-1)**2 - sqrt(3)) + 2*(sqrt(12)\/sqrt(4) + -1))*-1*-1*2.\nAnswer: 2*sqrt(3) + 292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3432*n**2*y + 2935*n**2 + 2 wrt y?\nAnswer: 3432*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 16\/(-12)*3\/(-1). Calculate the smallest common multiple of (n\/(-3))\/(-1*(-1)\/(-3)) and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of -x**4\/4 + 11*x. Let y(p) = 11*p**2. Calculate h(y(i)).\nAnswer: -363*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26.93535865 - -18.93535886. Let d = z - -8. Round d to seven decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4 or -4659112?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -18179966 + -0.634?\nAnswer: -18179966.634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/12)\/((-42)\/(-56)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 39 + -27. Let o = -11 + 11. Suppose -4*m + 0*m + 16 = o. Calculate the highest common divisor of z and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 + 2*g**2 - 2*g - 1. Let r be x(-3). Calculate the highest common divisor of r and 925.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1786 - 269. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 69\/2 of a microgram?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 18, -5, -28.\nAnswer: -28, -15, -5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*j + 6*j + 4*j**3 + ((-j - 2*j + j)*(-3*j + j + j) - 2*j**2 + 3*j**2 + j**2)*(-2*j + 0 + 0).\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -977, -975, -973, -971, -969, -967?\nAnswer: -965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (152\/(-6))\/(34\/(-51)). Suppose -n = 4*b - 2222. Does 42 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 + 1 + 2)*-1. Let t be (4 + o)*1*-7. Solve -13 - t = -4*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 16679038 to the nearest 100000.\nAnswer: 16700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2008, 2272, 2544, 2830, 3136, 3468, 3832, 4234?\nAnswer: 4680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/6 in -2\/17, 0.341, -0.11?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 104\/8 + (2 - 4). Suppose 2*i - 123 - j = 0. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*l**2 - 4 + 8*l**2 + 2*l**2)*(3*l + 9*l + 8*l).\nAnswer: -20*l**3 - 80*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 2*g = 4, 4*f - 4*g = 7 + 9. Suppose 0*v + 3*v - y - 10 = 0, 2*v - 10 = 4*y. What is the nearest to f in v, -4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 2:58 PM?\nAnswer: 12:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/3, 4, -0.1, -2, -0.91, 11\/2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0.3, -5, 256 in increasing order.\nAnswer: -5, -2, 0.3, 256","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, 125, 322, 587, 914, 1297?\nAnswer: 1730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 116 = 2*b, -3 = -b - 1. Let o(z) = 2*z + 56. Let h be o(r). Solve -h = -5*s + s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p. Let z(q) be the first derivative of 0*q + 0*q**3 - 4 + q**2 - 1\/8*q**4. Let s(h) be the second derivative of z(h). Give s(d(y)).\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25730?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 707392 is divided by 5317.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 16*w - 1. Give n(-1).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ok when two letters picked without replacement from okokokokkkkokookoko.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 218808 (base 9) in base 3?\nAnswer: 20122220022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 2*v - 3*f, 40*v - 4*f = 43*v + 27 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/190 and -101\/228.\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000032649 rounded to six dps?\nAnswer: -0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34, -57, -104, -187, -318, -509, -772?\nAnswer: -1119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1276 is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 - -16. Suppose -4*j + w = 15. Sort 2, -2, j in decreasing order.\nAnswer: 2, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.09 - 2.91. Let f = q - -5. Let k = 1.99997 - f. What is k rounded to 4 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/9 (b) 1\/12 (c) -8\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34*((-70)\/(-14))\/(-10)*2\/2.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -41*t**3 + 200*t**2 + t + 3862 wrt t.\nAnswer: -246*t + 400","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 - -3. Let c(p) = -p**3 - 4*p**2 + 5. Let o be c(f). Suppose 0 = 4*t - o*t + 11. What are the prime factors of t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*v**3 + 32*v**3 + 51*v**3 - 146*v**3 + 34*v**3.\nAnswer: 3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 5 + 0)*(-3 + 0 + 5) - 1 + 3 - 3 - 3 + 0 + 2 + 3 + 3 - 3)*(-7*u + 2 + 13*u - u)*(-u**2 + 0*u**2 - 4*u**2).\nAnswer: -125*u**3 - 50*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 65*b - 3763. Give v(58).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2310079504?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2213*z - 1387*z = -359*z - 123240 for z.\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -223, -404, -853, -1576, -2579, -3868, -5449, -7328?\nAnswer: -9511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*t**2 - 12*t**2 - 39*t**2)*(2 - 5 + 2 + 2*t**3).\nAnswer: -82*t**5 + 41*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -531 - -551. Let r(o) = 16*o**2 - 6*o - 6. What is the smallest common multiple of r(-4) and i?\nAnswer: 2740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkdkkkkkkkkkkkkdkk. What is prob of sequence kk?\nAnswer: 136\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 4*p - 16 = 5*x, -19 = 3*x - p. Is 14 a factor of (-546)\/(-36) - (-1)\/x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 260540.\nAnswer: 2, 5, 7, 1861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 36*i - 209. Is j(12) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 16943, 16941, 16939, 16937, 16935?\n\"Answer: -2*c + 16945","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in -0.4, -17548\/7, -1, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/4, -55\/4, -4, 1\/11?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 - 3*n**2 + 2*n + 16255. Let r be w(0). Suppose 2*i = 7*i - r. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11305804842311 + 0.2?\nAnswer: -11305804842310.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n + 2. Let u be o(2). Suppose 5*j - 82 + 32 = u. What is the remainder when (10 + (-14)\/1)\/(1\/((-57)\/6)) is divided by j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((83 - 44) + -44)*(-56)\/5.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -917849 times 85\nAnswer: -78017165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -54.29 times 0.4\nAnswer: -21.716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*j**2*v**2 - 1101*j**2 + 11*j*v**2 + 345*j*v - j - 15 with respect to v.\nAnswer: 12*j**2*v + 22*j*v + 345*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 812137 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3332099 is divided by 4129.\nAnswer: 4125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 22620610*d**4 + 28*d**2 + d + 39192 wrt d.\nAnswer: 542894640*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -21238*j**2*t**2 + 98*j**2*t + 8*j**2 + 153*j*t**2 + j - t**2 - 2*t - 1 wrt t?\nAnswer: -42476*j**2 + 306*j - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 5*x + 18 = -2*c, 4*x - 8 = 4*c. Let p = -11854070\/99 - -119736. Let k = p - -18\/11. What is the closest to c in k, -1\/2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30834298998.5 take away 0.23?\nAnswer: -30834298998.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1679 = -69*l + 5773. What is the greatest common factor of 152 and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3 + -3)*-1*1. Suppose a = 2*f + 2*f - 144. Is f a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -p**2 - 4*p**3 - 1146*p + 2303*p - 1158*p as r*p**3 + y*p**2 + z*p + m and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 17 (b) 4 (c) -1\/4 (d) 1\/255\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from {w: 2, d: 2, i: 4, a: 4}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 109*k**3 + 107*k**3 - 319*k**3 + 106*k**3.\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 - -14. Suppose 0 = h - 5 + g. Is 2 a factor of (h\/2 + -1)*-10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73702 = 3*c - 3*t + 2*t, -73688 = -3*c - t. Is c a multiple of 109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -4*j - 16. Let h be u(-7). Let t be (h + -10)\/(4\/10). Solve t*c = 5*a + 35, -c - 13 = -a - 4*c for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 823357\/428310 - 5\/42831. What is the common denominator of m and 16\/63?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(x*x\/x**(-16)*x*x)*(((x\/(((x**(-16)\/x)\/x)\/x*x*x))\/x)\/x*x)\/x*x*x**18\/(x*x\/((x\/x**(7\/2)*x*x)\/x)) assuming x is positive.\nAnswer: x**(25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 4*s - 6 = 0, b - 224 = 3*s - 226. Let v(i) = -9*i + 1. Let p(c) = 9*c. Calculate b*v(y) - 3*p(y).\nAnswer: -9*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -6*x + x. Let q(i) = -3. Suppose 96*l - 92*l = 12, -9 = -3*u - l. Let v(g) = g - 7. Give u*v(c) + x*q(c).\nAnswer: 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 98\/56 - 4\/(-16). Let j(q) be the first derivative of 3 - 1\/2*q**v + 11*q + 1\/4*q**4 - 3*q**3. What is j(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.9 (b) -4 (c) 0 (d) -4\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of -v**4\/4 - 6*v. Let a(c) = 5*c**2. What is n(a(d))?\nAnswer: -75*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 108\/4 + 6 + (-3 - 4). What is the tens digit of (-27 + l)\/(3\/(-2020 - -1))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15159 - -15162. Which is the third biggest value? (a) -0.4 (b) 9 (c) m (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 2 + 9293*i - 8566*i to the form m + q*i and give q.\nAnswer: 727","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-9)\/15)\/(2\/(-5)). Let w = -2\/10519 - 431219\/315570. Let h = w - -6\/5. What is the closest to 0.1 in x, 1, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -852067, -852066, -852065, -852064, -852063?\nAnswer: -852062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 3625673 and 14502689\/4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.106 and 2.15.\nAnswer: 0.2279","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1511 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 4*n = -n + 143, j - 151 = 3*n. What is the second derivative of -16*x**2 - 56*x - 17*x - j*x + 60*x**2 wrt x?\nAnswer: 88","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 13\/(-52)*5\/(-2). Let w = 11\/24 - x. Let f = 1\/2 + w. Are f and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 d when four letters picked without replacement from {d: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19, 47, 97, 181, 311, 499?\nAnswer: 757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -35*b**2*i**3 - 211*b**2*i**2 + 15*b**2 - 112*b*i**3 + 2*i**3 wrt i?\nAnswer: -210*b**2 - 672*b + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gzgzzggzgz. Give prob of sequence gg.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21 and -14\/1277?\nAnswer: 1277","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s**3\/5 - 299*s**2\/5 - 14804*s\/5 + 15104\/5 = 0.\nAnswer: -236, -64, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -265 + 1?\nAnswer: -264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 47\/3 (b) -0.1 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-133)\/(-760))\/(4865\/(-556)).\nAnswer: -1\/50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -23.6? (a) 2\/11 (b) -0.3 (c) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1764192 to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*l**3 + 2*l**3 - 6*l**3 - 1 + l + l**4 + l**2 as w + d*l**4 + b*l + c*l**2 + n*l**3 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11473 - 7376. What is the tens digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of -r**4\/12 + r**3\/6 - r**2\/2 + 2*r. Suppose 0 - 12 = -5*v + 3*a, 2*a + 8 = -4*v. Calculate g(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 9:54 AM?\nAnswer: 12:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 73\/5 of a minute?\nAnswer: 876","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.7130065 centuries?\nAnswer: 71.30065","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/(-40)*(-45)\/((-5265)\/(-78))*95.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*r - 18 = -45*r. Suppose -1152 = 9*m - r*m. What is the greatest common factor of m and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2. Let v be g(0). Suppose y = 2*o - 2*y - 24, v = 2*o + y - 24. What is the smallest common multiple of 4 and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/322141 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + (-6 - (-7 - -5)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2876266429 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y + 12. Let b be z(12). Let f be (0 + 1)*-1*b. Solve -5*a = 15 - f for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/4 or 340?\nAnswer: 340","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 11 = -3*w - 3*d, w + 2*d + 9 = 0. Let l(o) = 7 + o**2 - 4 + 1 + o. Let t(i) = -4*i**2 - 4*i - 13. Give w*l(f) - 2*t(f).\nAnswer: f**2 + f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -31.9 - -5.9. Let m = -25 - z. Let h = 1.9 + -2. Which is the closest to h? (a) 0 (b) -1\/3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 12) to base 4.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttttnntnnntt. What is prob of sequence tnt?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 2 f when four letters picked without replacement from wwfffw.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 4:22 PM?\nAnswer: 4:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -4*y + 28, -2*y + 0*o + 18 = -o. Let d be (2\/(-8))\/(((-63)\/564)\/21). Suppose 124 = d*k - 158. Calculate the greatest common divisor of y and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30653339 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1236, 4913, 11048, 19641, 30692, 44201?\n\"Answer: 1229*v**2 - 10*v + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 g when two letters picked without replacement from {n: 2, g: 2, p: 7, v: 1}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -7*d + 6. Let f(q) = -q**2 - q. Let m(y) = -f(y) + i(y). What is the units digit of m(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 26*y**2 - 50*y**2 + 26*y**2 - 2*y + 4*y. Let t be (-5 - 0) + 5 + 3\/(-15)*-10. Let j(q) = -q**3 - 9*q**2 - 8*q + 1. Give t*j(p) + 9*m(p).\nAnswer: -2*p**3 + 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1461 + -713. Let f be (-4)\/(-14) + g\/77. Let p = 147 + f. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23758 to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*d - 72377 = 504649. List the prime factors of d.\nAnswer: 32057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**12*r*r*r*r)\/((r*r*r**0\/r)\/r))\/(r**(-3\/5))**(-15\/4) assuming r is positive.\nAnswer: r**(55\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/40*12)\/((-2920)\/(-2409) - 6\/11)\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 149*n + 6*n - 362 + 219*n + 150*n + 52*n wrt n?\nAnswer: 576","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*v - 4*v + 2*v)*(v**2 + 5*v**3 - v**2) + 2*v**2 - 2*v**2 - 3*v**4 in the form j*v**2 + g*v**4 + m*v + r*v**3 + f and give g.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/10*4470\/(-4172)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-1*2) + 35. Let n = 19 - 10. Calculate the greatest common factor of c and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -72*z - 32. Let v be d(-2). What is the greatest common factor of v and 280?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -s - s**3 + s**4 - 6*s**4 + s**2 + 6*s**4 in the form y + t*s**2 + x*s**4 + i*s + w*s**3 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tlmt when four letters picked without replacement from {q: 1, n: 1, m: 2, l: 1, t: 2}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5832 and 360?\nAnswer: 29160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 + 2*n - 9. Let l(t) = t**2 - 7*t + 11. Let d be l(7). Let k = d - 19. What is the units digit of g(k)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3\/7 + 77260*s**2\/7 - 1474977328*s\/7 - 670208189376\/7.\nAnswer: -(s - 38852)**2*(s + 444)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1\/461 + 14321\/13830. What is the common denominator of 73\/66 and b?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 290 + -285. Solve -x*o + 0*z = 3*z - 8, 4*o + 4*z = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 6*s = -y + 12, 4*y - 4*s - 8 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-20))\/((-230)\/345*(-6)\/5).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 + 5*r**2 - r + 3. Let t be n(5). Let u = 0 - 0.1. Which is bigger: u or t?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 356 is divided by 88?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from mmoommmmooomomomoom?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*(3 - 2) - -2. Suppose -b + 8 = y. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6206?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -2483?\nAnswer: -4\/2483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 863711?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 3*v - 1. Suppose -8 + 0 = -2*i. Let y be (-1 - -2)\/(i - v). Put -2\/13, y, -5\/6 in descending order.\nAnswer: y, -2\/13, -5\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12978?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2920 and 4363940.\nAnswer: 1460","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17299, -34585, -51871, -69157?\nAnswer: -86443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 8 = v - 3, 3*i + 2*v + 10 = 0. Let k(y) = 2 - 5 + i*y + 5*y + 4 - y**3 - 4*y**2. Let j be k(-5). What is the highest common divisor of 2 and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5733, 11479, 17239, 23019, 28825?\nAnswer: 34663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -4*v**2. Let i(r) = 172*r**2 + 22*r - 16. Let a(q) = -87*q**2 - 12*q + 9. Let j(d) = 11*a(d) + 6*i(d). Give j(x(c)).\nAnswer: 1200*c**4 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 6. Let b(t) = t**2 - 5. Let o(p) = -p**2 + p + 4. Let c(f) = 2*b(f) + 3*o(f). Calculate c(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 2*j + 5 = 0, 4*o - j = 3*o + 5. Solve -5*i = -2*g - 10, i + i + o*g = 4 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 j when three letters picked without replacement from {j: 9, r: 2}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 134190 rounded to the nearest 10000?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -5*t + 10. Let o be n(2). Suppose -4*p = -0 - 4, b + 4*p - 334 = o. What is the hundreds digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 24324 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -985.3 + 143.3. Let n = -846 - z. Let o = -587 + 3535\/6. What is the biggest value in 0, n, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 65 - 713\/11. Let c(x) = x**3 + 10*x**2 + 8*x - 8. Let d be c(-9). Is b >= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-5\/2))\/(y*y**(3\/8))*(y**(-1\/4)\/y)**37 assuming y is positive.\nAnswer: y**(-353\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -96, -102, -110, -120, -132, -146?\n\"Answer: -b**2 - 3*b - 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of 13*q**4\/12 + q**2\/2 + 199*q. Let u(c) be the first derivative of c**2 - 1. Give u(y(j)).\nAnswer: 26*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -8077, -3, 379 in descending order.\nAnswer: 379, -3, -8077","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00031881136 rounded to seven decimal places?\nAnswer: -0.0003188","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l - 2*g - 49 - 1 - 6, 0 = -4*g. What is the biggest value in l, 274, 4?\nAnswer: 274","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 2\/5, 1, -29 in decreasing order.\nAnswer: 7, 1, 2\/5, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 280 = w, 345 + 469 = 3*w - 2*u. Solve -44*f - 10*f = -w for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -50fb (base 16) to base 8.\nAnswer: -50373","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 6 = v + 55, -g + v + 13 = 0. Suppose 10*p + 24 = g*p. Calculate the remainder when 58 is divided by p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -7*y**2 + 16*y + 32. Let t be 9*(-3 - (0 - 4)). Let x(c) = 3*c**2 - 8*c - 16. Let b(u) = t*x(u) + 4*i(u). Factor b(n).\nAnswer: -(n + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, -21, 26.5, 1\/2 in decreasing order.\nAnswer: 26.5, 3, 2, 1\/2, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 100830 rounded to the nearest 1000?\nAnswer: 101000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - 13?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 721503816?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2638962811 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29, 210, 701, 1658, 3237, 5594, 8885?\nAnswer: 13266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -34, 13, -8, 63 in descending order.\nAnswer: 63, 13, 2, -8, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 65 = 8. Let u = 37 - v. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of o**4\/8 - 5*o**3\/3 + 10*o**2. Let c be f(3). Does 7 divide 45 - -1*(c + 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 628*o**3 + 3*o**2 - 3*o. Let w be t(2). Let r = w - 2737. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33601 divided by 1\nAnswer: 33601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 34 = 5*g + 4*w, 11 = g + 5*w. Calculate the remainder when ((-212)\/6)\/((-4)\/g) is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 (base 9) in base 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 43097.66mm?\nAnswer: 0.04309766","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -9*j. Let y be u(-1). Suppose y*w = 29*w - 180. Which is greater: w or 62\/7?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 32321 - 110?\nAnswer: 32211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9.7 - -10. Let x = 120.5 + -121. What is the biggest value in s, -6, x?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -13 + (-1450)\/(-175)\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v**3\/7 - 20996*v**2\/7 + 56038*v\/7 + 21012\/7 = 0. Calculate v.\nAnswer: -3502, -1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 PM and 2:18 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 16) to base 12\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0216105678 rounded to 5 dps?\nAnswer: 0.02161","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/2012 and 67\/106900.\nAnswer: 53770700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(5\/168) - (23\/874 - (-1962)\/3420).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 33919, 34645, 35373, 36103, 36835?\n\"Answer: u**2 + 723*u + 33195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 35344 and 3008?\nAnswer: 141376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 249105.\nAnswer: 3, 5, 16607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = l - 2*l - 3 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 - (-3*21 + -1). Suppose 2*a = 3*r + m, -41 = 3*a - 4*a - r. Is a less than or equal to 38?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1202*v**3 + 2879*v**2?\nAnswer: -7212","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -761.28 and 0.2?\nAnswer: -152.256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9\/4? (a) 2.2 (b) 2\/5 (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-8) - (4 - 42\/8). What is the fourth biggest value in -0.1, j, -5, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -313, -275, -271, -319, -437?\n\"Answer: -3*x**3 + x**2 + 56*x - 367","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - -1. Let l = -27 + 47. Let p = l + 8. Calculate the highest common factor of z and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*p**2 + 130*p - 130*p)*(2*p**2 + p**2 - 5*p**2).\nAnswer: 22*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, r: 17}. What is prob of sequence rgg?\nAnswer: 17\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 48741787 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of 37\/5*u**5 + 0*u + 0*u**4 + 0*u**2 - 6 - 8*u**3. Find the third derivative of z(n) wrt n.\nAnswer: 888*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -416\/17*j - 2\/17*j**2 - 414\/17 = 0.\nAnswer: -207, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 3, -8, -11, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 8*a**2 + 153*a + 309. Calculate the remainder when 2825 is divided by m(-2).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2*u**3 - 7*u**2 + 2*u + 6. Let g(f) be the third derivative of -f**6\/60 + 2*f**5\/15 - f**4\/12 - 7*f**3\/6 + 10*f**2. Determine -6*g(j) - 7*i(j).\nAnswer: -2*j**3 + j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 0.02, 0.14 in descending order.\nAnswer: 1\/3, 0.14, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -12*u**5 - 285*u**4 - 708*u**3 - 309*u**2 + 126*u = 0.\nAnswer: -21, -2, -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a + 2*r + 2, -7*a - 8 = -5*a + 3*r. Calculate the remainder when (2 - (a + 4)\/6)*2 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -4*f + 4*o + 14, 19 = 3*f + o. Suppose -3*s = -8*s + 15. Suppose s = 5*d - b, -16 = 2*d + 4*b - 4. Solve -f = -d*c + 2*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -81, 0.1, 0, -4\/37, -1, -3, -2.\nAnswer: -81, -3, -2, -1, -4\/37, 0, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*f - 5. Let h = -3 - f. What is the units digit of 2 + h\/((-2)\/10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 852366, 1704735, 2557104, 3409473, 4261842?\n\"Answer: 852369*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-12)*c)\/(c*c\/c**0))**(-20)\/(c**(-6)\/(c**(1\/4)*c*c)*(c*c**(-7)\/c)\/((c*c**(1\/2)*c)\/c*c)) assuming c is positive.\nAnswer: c**(1031\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k\/k**(-5\/3))\/k)\/k)\/k)**(-30)*(k\/((k\/k**(-1\/4))\/k))**14 assuming k is positive.\nAnswer: k**(41\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1904 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/(-6))\/(-2*(-2)\/48). Is -9 - (i + -9) - -1851 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 42 - 3. Let d be (-2)\/(-5) + 10\/(-25). Let s = d + l. Is 13 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 158594 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -36*u**2 + 13 - 4*u + 16*u**2 - 11 - 2*u**3 + 14*u**2. Determine m(-3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16167910?\nAnswer: 2, 5, 11, 103, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -4*d - 1244, -2*d - 671 = -4*z + 583. What is the hundreds digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -31*l + 13423 + 9393. What is the greatest common divisor of l and 2668?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-8)\/r)\/r*r**(-7))\/(r**1*r)**45 assuming r is positive.\nAnswer: r**(-107)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -40 - -102. Suppose 0 = v - j - 195. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10 - -31234?\nAnswer: 31244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.106 + -2.106. What is the nearest to -0.1 in 4, -12, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 176 and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 2*v - 1504, 1540 = 3*v - 5*w - 738. Does 12 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51080 is divided by 27?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1216743*s + 1450736.\nAnswer: 1216743","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 48*t**5 + 9960*t**4 + 493419*t**3 - 2450766*t**2 - 1099644*t + 11393304 = 0?\nAnswer: -106, -2, 13\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 3*g = -48 - 3, 0 = 5*i - 4*g - 139. What are the prime factors of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -75.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 64, 250, 560, 994, 1552?\n\"Answer: 62*p**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6295 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 41150 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -17 (b) 14\/5 (c) -2 (d) -2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*f + 7*f = -51. Solve 5*h = -2*x + x - f, -2*h = 4*x - 4 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-4)*10\/(-35). Suppose -5*w - p - 6 + 4 = 0, -4*p - 8 = w. Suppose w = -16*y + 17*y + 4. Is n <= y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tfftffffftttf. Give prob of sequence tt.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 4:12 PM?\nAnswer: 11:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 = 9*q - 10*q. Let v = 43 + -26. What is the remainder when q is divided by v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 612.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1506523, 1506543, 1506563, 1506583, 1506603, 1506623?\n\"Answer: 20*m + 1506503","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 + 5*g**2 + 6*g + 71. Let r be d(-6). Let l(m) = 4*m - 1. What is l(r)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 + 4*w - 3. Let y be u(2). Suppose 118*m - 115*m = -6. Let f = y + m. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -75270, -301078, -677422, -1204302, -1881718?\nAnswer: -2709670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -3*u - 1. Let m be g(4). Let i be m\/(-5) - (-6)\/15. Suppose -1 = n - i. Solve -q = -0*q - 4*v - 15, n*q + 2*v + 10 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2853795 and 210.\nAnswer: 5707590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8 + -2)*1\/(-2). Suppose -f + j*f - 108 = 0. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -4*u - 4. Suppose 5*a + 2*z = 32, u*a + 0*z - 5*z - 19 = 0. Let p(n) = 13*n + 5. Is p(a) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 5*c**2 - c + 2. Give j(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 32 = 2. Let t(d) = -d**3 - d**2 + d - 1. Let c(w) = 4*w - 2*w**2 - 3 + 45*w**3 - 3 - 49*w**3 + 4*w. Let j(f) = h*t(f) - c(f). Factor j(k).\nAnswer: -2*k*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2.6 (b) 1 (c) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2629 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 228 = -21*x - 55*x. Is x <= 22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -66, -129, -186, -237, -282, -321, -354?\n\"Answer: 3*m**2 - 72*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((465\/(-15345))\/(1\/6))\/(1 + (-43)\/22)?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5811 + 9811. What is w rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-47)\/(-376) + (-14)\/(-144)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.16 in 2, -1\/3, -2\/293?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -150 divided by -106299.\nAnswer: 50\/35433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 130\/(-7) + 112\/196. Let a be 2\/w - 328\/(-36). What is the second derivative of a*j**3 - 42*j + 8*j**3 + 34*j wrt j?\nAnswer: 102*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) -2\/47 (c) 0.2 (d) 467\/4 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81 = -3*b - 30. What is the remainder when 49 is divided by b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -0.1 = -0.169?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/21 and 137\/332664.\nAnswer: 2328648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + 60*i + 20*i)*(6*i + 7*i + 2*i)*(10*i**3 + 10*i**3 - 31*i**3).\nAnswer: -12870*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2*t**2 - 16*t. Let g(c) = c**2 - 5*c. Let m(y) = d(y) - 3*g(y). Let w(k) = 10*k**2 + 8*k - 5. Determine -18*m(r) - 2*w(r).\nAnswer: -2*r**2 + 2*r + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 3*b**2 + 2*b + 2. Let u = -8 - -12. Let m(v) = 16*v**2 + 11*v + 11. Determine u*m(h) - 22*s(h).\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((24\/(-30))\/(-2))\/(14\/(-70)). Put c, 890, -0.3 in decreasing order.\nAnswer: 890, -0.3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -2704, -19, 4, -0.1, 1\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18 - 6 + 0)*(2*p**2 - 3 + 3) - p**2 - 2*p**2 + 4*p**2.\nAnswer: -47*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of k**4\/4 + 2*k**3\/3 - 5*k**2. List the prime factors of y(4).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = -6*d + d. Let s be 3\/d + 72\/21. Suppose -26820 = s*i + i - 5*z, -4*i - z = 26796. Round i to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 296 is divided by 58.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q**2 + 1. Let n(v) = 6*v**2 - v + 3. Let u = -11 - -4. Let o(x) = 3*x**2 + 2*x + 1. Let g be o(-1). Give g*n(j) + u*m(j).\nAnswer: -2*j**2 - 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9 - -8a2c?\nAnswer: 8a37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -110111011010010011 (base 2) in base 12?\nAnswer: -ab417","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*g - 40 + 264 = 0 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 - k**2 - 41*k + 14. Give z(7).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (1*-5)\/(485\/582)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*m**2 + 15*m - 50 + 76 - 25 in the form x*m + c*m**2 + q and give x.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122*t + 112*t = 20 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 106 + -109. Let w = 5.4 - 5.2. Which is the fourth biggest value? (a) w (b) 0 (c) 1\/2 (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.3 + -0.7. Let d = -2.1 + 0.1. Let h(m) = -m**3 - 5*m**2 + 5. Let v be h(-5). What is the nearest to a in v, d, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 7, g: 6}. What is prob of picking 2 g?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 + ((-11 - -31 - 8) + -7 - 3).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 29*w**3 + 712*w**2 + 385*w + 28. Determine m(-24).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3)\/7)\/((390\/(-1092))\/(20\/12)). Suppose 0 - 4\/7*o + 4\/7*o**u = 0. What is o?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4 - 2)*13\/(-6). Let o = 16 - 8. Let h = z - o. Does 5 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 336 - 40. Let l be 0 + 2 - w\/2. What is the greatest common factor of 13 and l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, 12, -4 in decreasing order.\nAnswer: 12, 2, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*o + o + 2*o)*(2*o**2 + 3 - 3) - 1 + 2*o**3 + 1 + (-4*o + o + 0*o)*(4*o**2 - 5*o**2 - 2*o**2) in the form g*o**3 + k*o + v + m*o**2 and give g.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 10 = -10*i, 17 - 12 = -5*i - 2*x for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -64*x**5 - 412816*x**4 - 871942924*x**3 - 568285601147*x**2 + 73515560267758*x - 72946402310807 = 0.\nAnswer: -8747\/4, 1, 109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3425616 - -337?\nAnswer: -3425257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3604426?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5881 + -5870. Put y, -0.4, 46\/7 in increasing order.\nAnswer: -0.4, 46\/7, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, l: 4, b: 4, i: 1, e: 2, u: 1}. Give prob of sequence qlbl.\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b**2 + 14*b - 2. Calculate the remainder when a(-8) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 75*s**2 + 9*s - 13. Is x(2) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*s + 1 - 25 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m + 4. Calculate u(-10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -z - 2*z + 4*y + 1, 19258 = -2*z + 4*y + 19256 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*p**5\/5 + 1062*p**4\/5 - 868*p**3\/5 - 1044*p**2\/5 + 974*p\/5 - 18\/5 = 0 for p.\nAnswer: -1, 1\/53, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -p - 3, 218*x - 3*p - 19 = 223*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - -27?\nAnswer: 2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11.1747 * 0.19.\nAnswer: -2.123193","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18893*j**3 - 14042*j + 14042*j.\nAnswer: 18893*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -19*r + 315. Determine v(21).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-3) - (-104)\/12. Let s(x) = l*x**2 - 6*x + x**2 + 6 - 9*x**2. List the prime factors of s(7).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12905?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1, 3676, 2510 in decreasing order.\nAnswer: 3676, 2510, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -5*s**3 - 7*s**2 - 7. Let v(x) = -2*x**3 - 3*x**2 - 3. Let w = -266 + 152. Let b be w\/(-21) + (-8)\/(-14). What is b*l(j) - 14*v(j)?\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -12*u**3 - 6*u - 22. Let k(h) = -h**3 + h + 3. Calculate -i(d) - 8*k(d).\nAnswer: 20*d**3 - 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/26*57\/2508*286?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*s - 7 + 7)*(42*s + 5 + 30*s - 80*s).\nAnswer: 48*s**2 - 30*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 + a + 1. Let c(f) = 2*f**2 - 15*f**3 + 2*f**2 + 4 + 2*f**2 + 14*f**3. Let r(j) = -2*c(j) + 6*w(j). Let r(v) = 0. Calculate v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*d*n**5*z - 90*d*n**3*z - 35*d*n**2 + 8*n*z wrt n.\nAnswer: -120*d*n**2*z - 540*d*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 - 3*y**2 + 3*y - 4. Let v be u(-4). Let j be (5 + v)*2\/5. Suppose j*k + 5*q = 29, -2*q = -k - k + 8. List the prime factors of k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**22*p)\/p*p**(-21)\/p assuming p is positive.\nAnswer: p**(-43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34291144807*w + 3 + 34291144814*w - 3.\nAnswer: 7*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 182147 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8a572 - 21b?\nAnswer: 8a353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 252 and 308?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 - y - 1. Let t(k) = -28*k**2 - 5*k - 4. Let l(r) = -t(r) + 5*z(r). Calculate the remainder when l(1) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 20483 to the nearest 1000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26039 is divided by 314?\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 268\/(-12) + 23 - (32\/18 + -2)?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2887902*a - 15760305 wrt a?\nAnswer: -2887902","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/1 - 1 - 383\/((-1270794)\/(-36456))?\nAnswer: 1\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1410126089 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4966.16 + 68.94. What is l rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 7*y - 5. Let a be n(2). Let u = -9 + a. Suppose u*z + 5*z - 6799998 = 2*g, 5*z - 6799995 = 5*g. Round z to the nearest one hundred thousand.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*g**3 + 19501*g - 19501*g.\nAnswer: 58*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 3*n + 32. Let q be w(-10). Suppose z = q - 3. What is the units digit of (-50)\/(1 + -2) - z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -26172\/473 > -56?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -70*j - 6. Let d be p(-11). Let i = 4847 - d. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62588 is divided by 384.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -12*p - 5. Suppose 9*n = 5*f + 4*n + 30, 0 = -3*n + 6. What are the prime factors of a(f)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 57 - 47. Let b be (-4 + 25\/p)*-6. Sort 0, 5, b in increasing order.\nAnswer: 0, 5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*l - 5*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10047 + -10033. Solve 0 = n + 2*n - 15, l = 2*n - u for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 2:22 PM?\nAnswer: 1:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 12) to base 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**2 + t + 31. Let a be p(-5). Let g be (9 + 80)*(a + 0). Let h = -78 + g. Solve h = 5*z - 9 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 80250 + -29991. What are the prime factors of t?\nAnswer: 3, 11, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 49844 and 1836?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2881689, -5763383, -8645079, -11526777, -14408477, -17290179, -20171883?\n\"Answer: -k**2 - 2881691*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5694, 5329, 4340, 2415, -758, -5491, -12096?\nAnswer: -20885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2588, 5183, 7782, 10385, 12992?\nAnswer: 15603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1387.\nAnswer: 19, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 32 + (-3120)\/90 + 23\/6. Let l(f) be the third derivative of a*f**3 + 1\/24*f**4 + 0 - 16*f**2 + 0*f - 1\/60*f**5. Calculate l(5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 9:13 PM?\nAnswer: 7:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as 18\/46284701?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*w**2 - 17*w**2 + 44*w**2 + 2*w**2.\nAnswer: 78*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-949)\/(-146))\/(((-5)\/25)\/(28\/(-10))).\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77 - p**2 + 6*p**2 - 3*p**2.\nAnswer: 2*p**2 + 77","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 5129 = -28171. Round z to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*x**4 + 3*x**2 + 14*x**4 - 11*x**4 + 2 + 2*x**4 + 10*x to w*x**3 + h*x + i + y*x**4 + f*x**2 and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-14)\/j**(-7\/3) assuming j is positive.\nAnswer: j**(-35\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bn when two letters picked without replacement from xnbb.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 4 = 4*w, -4*w + 28 = -3*k + 7*k. Suppose -w*i + 3 = -12. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 245 divide 375584700?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9584.\nAnswer: 2, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 18993320 divided by 2818?\nAnswer: 6740","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 4*d - 8, 3*v + 2 - 13 = d. Let q(f) = 5*f - 5. Let m(z) = 4*z - 4. What is v*m(w) - 3*q(w)?\nAnswer: w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15073717912660.9099953 + -15073725319994. Let z = -7407332 - d. Let s = -1.09 + z. Round s to 6 dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of -7*z**5\/20 + 3*z**2\/2 - 4*z. Find the first derivative of h(w) wrt w.\nAnswer: -21*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of z**6\/360 + z**5\/30 - z**4\/24 + 3*z**2. Let n(o) be the second derivative of m(o). What are the prime factors of n(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 715000 rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.15 and -141.09382.\nAnswer: -141.24382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -5*c - 36. Let g = c + 9. Solve 0 = o - g + 5 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 21*k**4 - 3546*k**3 + 151197*k**2 - 126504*k - 21168 = 0.\nAnswer: -1\/7, 1, 84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 7 = -0*f - 4*f, -2 = -4*m - 2*f. Is 0.06 greater than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(38)*1 - (sqrt(38) + sqrt(4598) + sqrt(4598) + sqrt(4598) + sqrt(4598)*-2))\/((sqrt(12)\/sqrt(3)*1)\/(sqrt(24)\/sqrt(3))).\nAnswer: -34*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.1 (b) -2 (c) -5\/6 (d) -8 (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y + 3*y - 4*y)*(-30 + 52 + 39*y**4 - 24).\nAnswer: 39*y**5 - 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 321986?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 174299314 to the power of 1\/2, to the nearest integer?\nAnswer: 13202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 5976*f - 11958. What is t(2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 10*s - 14*s - 12*s**5 - 9*s**4 - 31*s**4 - 24*s**2 - 48*s**3 = 0. What is s?\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 88, 68, 34, -14, -76, -152?\nAnswer: -242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 322560957?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 301140 and 144?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7080 and 90?\nAnswer: 21240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 25163 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 3*i = -12. Let o(q) = 3 - 5 + i*q + 5. What are the prime factors of o(3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 3565?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.414721 rounded to 0 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3168 = -24*r + 6*r. What is the remainder when r is divided by 92?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhh when three letters picked without replacement from {w: 1, c: 1, t: 1, h: 3, n: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 279, 389, 575, 837?\n\"Answer: 38*p**2 - 4*p + 245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and 1518335.\nAnswer: -607334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/4*(-24)\/(-39). Let z = -9\/26 - s. Let y = 0 + z. Which is greater: y or -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20553 (base 8) in base 2?\nAnswer: -10000101101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3243\/34 + 191\/2. Let u = 107 - 109. What is the second smallest value in -5, u, l?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-118)\/885 - 32\/(-15)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 2*v = -k + 2277, -759 = -v - 5*k. What is the remainder when v is divided by 51?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7a39 (base 14) in base 12?\nAnswer: 10343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -10*v - 6. Let y(s) = -21*s - 13. Suppose 0*i = -2*i + 3*m + 3, -5*i + 4*m = -25. Let l(c) = i*w(c) - 4*y(c). Give l(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 16654.11ml?\nAnswer: 16.65411","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8\/7 in 32, 2\/5, 92, 2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.44 + -3.49. Which is the third biggest value? (a) 0.3 (b) -0.2 (c) i (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.865 and -2054.5.\nAnswer: -1777.1425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 + 0 - (-91 + 71 - 40).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 44982851 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -22 + -5?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -79 + 78. Let t = 90 - 90.4. Which is the third smallest value? (a) f (b) t (c) 0.49\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -4*t + 2284. Let w(f) = 5*f. Calculate w(d(m)).\nAnswer: -20*m + 11420","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -27 - -26.8. Is 2\/7 > n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 v when two letters picked without replacement from fvavsvavssvv?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 4*b**2 - b. Let n be w(-1). Suppose -n*o + 25 = -5*h, 5*h - 16 = -2*o + h. What is the lowest common multiple of o and 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 435282 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7646 - 7659. What is the closest to s in -0.2, 0.7, 0.9, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 + (-35)\/14)\/2. What is the closest to 0.1 in 1, v, -0.029?\nAnswer: -0.029","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 11 - ((-270)\/(-50) - 30\/(-50)). Let f(l) be the third derivative of 31*l**2 + 0 + 0*l - 1\/8*l**3 + 1\/160*l**u + 1\/64*l**4. Factor f(i).\nAnswer: 3*(i - 1)*(i + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 39*x - 193. Give h(8).\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001014 rounded to 4 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -202*i**2*t**3 + i*t**3 + 5*i*t**2 - 2*i wrt i?\nAnswer: -404*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 131444 - -4?\nAnswer: 131452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 193, 1642, 5581, 13252, 25897, 44758, 71077?\nAnswer: 106096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**1*x*x*x*(x\/((x*x\/x**(-6)*x)\/x))\/x*x*x)**31 assuming x is positive.\nAnswer: x**(-93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1.8 times -0.29\nAnswer: 0.522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide (24\/20)\/((-15)\/(-125))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x**3 - x**3 - x**3 + 2*x**3 - 2*x**3 - x**3 + (-2*x + 1 - 1)*(3*x - 3*x + x**2) - 3*x**3 + x**3 + 0*x**3.\nAnswer: -8*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(49) + sqrt(98)\/sqrt(2))\/sqrt(7))**2 - (4 + sqrt(63)).\nAnswer: -3*sqrt(7) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 20\/(-6)*(375\/(-10))\/25. What is the tens digit of 93 - (15\/o + 2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 1086*g + 20. Let h be r(8). Suppose 9*f = h + 35725. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 5:42 AM?\nAnswer: 4:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1\/2*(39 - 25) + -2 + 3046?\nAnswer: 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) -4 (c) -1216\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.168 + -0.982. Let m = h - -0.65. Sort -4\/7, 1\/5, m.\nAnswer: -4\/7, m, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.7, 0.3, -0.2, -0.5, 3\/5 in descending order.\nAnswer: 0.7, 3\/5, 0.3, -0.2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, 0, 4, -2, -595.\nAnswer: -595, -2, 0, 4, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 4*a. Let d be l(1). Suppose o + i = -d*o + 123, -4*o + 3*i + 106 = 0. What are the prime factors of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (w - w + 6*w)*(-24 + 29 + 48) to the form t + p*w and give p.\nAnswer: 318","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d - 1. Let p(f) = -2*f**2 - 18*f - 18. Let q(r) = r + 3. Let j be q(-3). Let h be j + ((-3)\/(-1) - 28). Let o = h - -27. What is o*p(y) - 36*s(y)?\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 + 17*u - 32. What is b(14)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-49)\/4*2*18\/(-252)\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve v**4\/8 - 13*v**3\/4 + 45*v**2\/8 + 9*v = 0 for v.\nAnswer: -1, 0, 3, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 28 (b) 3 (c) 0.06 (d) -5 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -41200 to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10 + (-2 - (-3 - -7)). Suppose j - 4 = -0. Find the first derivative of -2*q**j + 4 - 8 + 0*q**t wrt q.\nAnswer: -8*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 + -13*17)\/(42\/8022). Round m to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -2*k**2 - 18*k - 20. Determine p(-9).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 52 + 17. Let g = f + -13. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - g = 12 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1626\/(-4607))\/((140\/(-357))\/10).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16607863?\nAnswer: 23, 349, 2069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 824 divided by -1.\nAnswer: -824","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 2*b. Let w(z) = -552400958*z. Determine w(r(a)).\nAnswer: -1104801916*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000001 (base 2) to base 15.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 415\/(-581)*35\/(-30)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (184\/2)\/((-8)\/18*(-414)\/(-92))\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*t + 2 = 85 - 19. What is z in -2\/15*z + 2\/15 - 4\/15*z**2 + 4\/15*z**3 - 2\/15*z**5 + 2\/15*z**t = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 13 (b) 2\/3 (c) -1 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-2*sqrt(1584) + 0 + sqrt(891) - (sqrt(110)*1*4)\/sqrt(10)))**2*5*3 + -1.\nAnswer: -2280*sqrt(11) + 59804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + -14*80\/140?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**3 - 120265*z**2 - 120250*z + 240520.\nAnswer: -5*(z - 1)*(z + 2)*(z + 24052)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 683247 and 0.72?\nAnswer: 683246.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 110095724 a multiple of 142?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 34, 3, -4.\nAnswer: -5, -4, 3, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.207 in 2, 4\/21, 0.5, 3\/2?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4.236, -5, 130?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 22, 0, 0.3, -26.64 in ascending order.\nAnswer: -26.64, 0, 0.3, 7, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*c - 19 = -3 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.36 or 0.006852784?\nAnswer: 0.006852784","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 351299331?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3060 and 4428.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 163 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/7, 1\/4, -0.04, 0.1?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-51)\/12 - (-1)\/4. Let a be (0 - 2)\/(s\/10). Suppose 0 = -4*g - a*j + 1200025, -3*g + 25353 = -j - 874642. What is g rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00056245932 rounded to 7 dps?\nAnswer: -0.0005625","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 m, and 1 g when three letters picked without replacement from {g: 1, q: 3, y: 1, d: 1, m: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - 3. Suppose -2*i - b = -15. Suppose -4*s = -y - 8 - i, 5 = 2*s - 3*y. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 4*h - 18, 0 = -p - h - 2 - 11. Let z(b) = -3*b - 31 + 0*b**3 + b**3 - 13*b + 2 + 9*b**2. What is the remainder when 57 is divided by z(p)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1249 + -1245. Suppose 0*n + 12 = 3*n + 4*k, 0 = k. Solve 2*b = z*b + n for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/22? (a) -0.2 (b) -1\/415 (c) 20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99*n + 151423 = -356645. What are the prime factors of n?\nAnswer: 2, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 + 12*n**2 + 7. Let c be r(-12). Let v(o) = -o**3 + 8*o**2 - 6*o + 4. Determine v(c).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 0.294393?\nAnswer: -1.471965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17 - 11. Calculate the lowest common multiple of 14 and o.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 965*o + 27 = 938*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 32 = -5*p. Let y = 19 - p. Solve -5*l - 2*b - 3 = -22, 0 = y*l + b - 11 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -9*b**4 - 87*b**3\/2 - 66*b**2 - 30*b = 0.\nAnswer: -2, -5\/6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*c = -3*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 51714 a multiple of 98?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 d when three letters picked without replacement from xdvddddddddxddddd.\nAnswer: 91\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from dmdhmhdddmhdhd.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 4*u**3\/7 + 6084*u**2\/7 - 6087*u\/7 + 1522\/7 = 0?\nAnswer: -1522, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -13\/3, -3, -22, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 25 + 5 = 0. Let o(s) be the third derivative of 0*s**4 + 0*s**5 + 0*s + 0 + 1\/120*s**q - s**2 + 1\/6*s**3. Differentiate o(z) with respect to z.\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 3 and -23.2963587164861.\nAnswer: -20.2963587164861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -922 - -1974. What is the hundreds digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of -r**6\/30 + 8*r**5 - 118*r**4\/3 + 5502*r**2. Find y, given that i(y) = 0.\nAnswer: 0, 2, 118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30610903 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 48893 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together 149271790 and -578.27.\nAnswer: 149271211.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 5 = -7. Suppose 2*c + 3*s - 21 + 6 = 0, 0 = -c - 3*s + 12. Sort p, c, -5 in decreasing order.\nAnswer: c, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -12*q**3 + 2*q + 1. Let j(m) = m**2 + 4*m - 1. Let u be j(-4). What are the prime factors of w(u)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.24693ml in litres?\nAnswer: 0.00524693","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4455 is divided by 141.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*k + 4*k - 16 = 0. Let l(m) = 17*m**2 - m + 1. What is l(k)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 188*s**2 - 11*s - 7. Let t(f) = 94*f**2 - 5*f - 3. Give -6*j(y) + 13*t(y).\nAnswer: 94*y**2 + y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3132240 divided by 10?\nAnswer: 313224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 42334114 + 1?\nAnswer: 42334115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 117\/9650 and -173\/66510.\nAnswer: 64182150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (13\/(260\/(-1035)) + 18)*(-16)\/12\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3929158489*u**2\/5 + 250732*u\/5 - 4\/5.\nAnswer: -(62683*u - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -2*a - 52. Let n(h) = 1582*h - 1579*h - 3 + 3. What is n(t(l))?\nAnswer: -6*l - 156","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 2*s - 280 = 242, -5*k + 655 = -2*s. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**23*c*c\/(c**(-19)\/c) assuming c is positive.\nAnswer: c**45","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, 33, 84, 151, 228?\nAnswer: 309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + (-6 - 7) + 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 3*r = -252, 0*w - 3*w + 770 = 5*r. Let s = w + -1782\/7. What is the second biggest value in 3, -1\/3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14, 22, 38, 62, 94?\nAnswer: 134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-396)\/(-10) - (162\/(-30) - -5). Let v = 10 + y. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -205 + 202 - 54432*g**3 + 54430*g**3.\nAnswer: -2*g**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - u = -18, 2*s - 5*u = -0*s - 2. Suppose 4*m + s*x = 7 + 1, 3*m + x - 12 = 0. Solve 0 = -m*o - o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1045897099?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10331 is divided by 116.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do 2684518 and 2684512 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 274 - -320. Suppose 12*v = 990 + y. Is 22 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -256 + 253. Let i = -28 + 48. Let w be i\/16 - (2 + -1). What is the biggest value in w, y, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 0*l + 8*l**3 + 5*l - 2*l + 0*l**2 - 4*l**2. Let d be i(2). What is the units digit of (-407)\/(-9) + (-12)\/d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*w + 616 = -57*w. Let i = w - 70. What is the remainder when 69 is divided by i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*2*sqrt(304)*-2.\nAnswer: 16*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 222223471 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r**3 + 3*r**3 + 3*r**3)*(0 + 0 - 6*r**2) - 2*r**5 - 2*r**5 + 6*r**5 + 33*r**5 + 72*r**5 + 12*r**5 + (-3*r**3 + 4*r**3 - 3*r**3)*(5 - 5 - 2*r**2).\nAnswer: 111*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2602015?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3056*a + 83*a - 1575*a - 2259*a to g*a + z and give g.\nAnswer: -6807","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 20 = 3*b, 362030 = 5*b + 12*g + 361942 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 9.131809ml?\nAnswer: 0.009131809","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5274 - 18?\nAnswer: -5303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14046 - 1226*h - 14046)*(-3 - 3 + 0).\nAnswer: 7356*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2540 and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (175 + 15*k**5 - 175)*(2 - 14 - 2).\nAnswer: -210*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 21*a**2 + 652*a - 1235. What is r(-33)?\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -213*x**2 - 69*x - 34*x**2 + 31*x + 23*x + 21*x.\nAnswer: -247*x**2 + 6*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 w when two letters picked without replacement from awwklkqkllllwza.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 924?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/14)\/(-11 + 1216\/112). Solve -18*h - 4*r + 31 = -13*h, 2*h - 14 = -u*r for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 102 and 2172?\nAnswer: 36924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, g: 1, t: 1, v: 1, p: 2, z: 2}. What is prob of picking 2 z?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + 1. Let v be n\/(-1) + 3\/(-1). Let d(y) = y**3 + 6*y**2 - 6. Is d(v) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-87)\/27 + 3 - (-14456)\/53793?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.76 + -80.76. Let f = z - -78.8. Sort -1\/6, 2, f in descending order.\nAnswer: 2, -1\/6, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4021*g**4 - 5298*g**4 + 3048*g**4 + ((-2 - 1 + 1)*(0*g - 3*g + g) - 3*g + 5*g - 3*g + 0*g + 2*g - 3*g)*(g**3 + 2*g**3 - 4*g**3).\nAnswer: 1769*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -547564367, -1095128734, -1642693101, -2190257468, -2737821835, -3285386202?\n\"Answer: -547564367*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**4 + 3026*l**3 + 13536*l**2.\nAnswer: 2*l**2*(l + 752)*(2*l + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5 - (7 - 2)) + (-6)\/(-217). Let t = d - -106\/651. What is the common denominator of t and -62\/63?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -5*s**3 - 3*s**2 + 2*s + 3. What is p(-3)?\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9527 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z**(1\/13)\/z*z*z*z*z**10\/z*z*z*z)\/(z**(5\/4)\/(z*z\/((z\/z**(-2\/19)*z*z)\/z))) assuming z is positive.\nAnswer: z**(14545\/988)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 246 (b) 0.1 (c) 2.2 (d) 1\/2 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -13*y - 102. Let s be u(-24). Let v = s - 192. What is the remainder when 84 is divided by v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3186 - 3240 = -a. Calculate the highest common factor of 80 and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/3)\/s**(-13))\/((s**(1\/8)\/s)\/s**(-8)) assuming s is positive.\nAnswer: s**(157\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 289248450 to the nearest integer?\nAnswer: 17007","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/((-352)\/178 + -5 + 7). Is -88 smaller than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 418?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4d9cd4 - 3?\nAnswer: 4d9cd1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/(-7))\/(21 + 2160\/(-105))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 5*t = -82, 2*t = y + 395 - 355 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -233 + 83. Let p be (l\/(-4))\/(3\/5840). Round p to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 120 + -23. Suppose -70*w = -79*w + 126. Calculate the remainder when r is divided by w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 126\/616*168\/126?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((3440\/(-60))\/1)\/(20\/15)\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -f + 2*d, -5*f = 5*d + 8 + 12 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, 10, 4 in increasing order.\nAnswer: 4, 10, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-11 - -9)*(60\/28 + -2). What is the fourth biggest value in -0.06, 0, c, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/(-8)*3\/(-39)*140\/(-1750)*25?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21780, 21964, 22234, 22596, 23056, 23620, 24294, 25084?\nAnswer: 25996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k + 12. Let z be u(-11). Suppose 3*s - 15 = -n, 5 = -3*n + n + s. Suppose 5*a = -n*a. Sort 5, z, a, -2 in descending order.\nAnswer: 5, z, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 13 = 4*q, 5 = 2*b - 5. Suppose 2*i = -3*k - 3319997, -q*k - 762919 = 4*i + 5877078. What is i rounded to the nearest one hundred thousand?\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6330 and 206358?\nAnswer: 1266","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 184 and 10212?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1234a0 - -1?\nAnswer: 1234a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3696\/1980*(-24)\/32.\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14944 is divided by 24.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - 724?\nAnswer: -731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/32 - 292\/(-32) - 3. Solve -4*n + d + 15 = 0, -2*n - 5*d + u - 15 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 42 + (11 - (22 - -5)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 72\/5 of a litre?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**4 - 220*n**3 - 1672*n**2 - 3920*n - 2976.\nAnswer: 4*(n - 62)*(n + 2)**2*(n + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.57274ug in grams?\nAnswer: 0.00000157274","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1636619174 to the power of 1\/2, to the nearest integer?\nAnswer: 40455","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 19 - 3 = 4*y, -3*y + 25 = -5*z. Let s = -17 + 19. Put -1, s, y in decreasing order.\nAnswer: y, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -41728728 by 31.\nAnswer: -1346088","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6224506 millennia in decades?\nAnswer: 62.24506","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - -7.3. Let g = l - 0.3. Do 2 and g have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1241869 to the power of 1\/3, to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8049.3 and -6.\nAnswer: 48295.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1 - 0. Let h = f + 0.099995. What is h rounded to 5 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 5:13 PM?\nAnswer: 6:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -66530355 + 44?\nAnswer: -66530311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -880\/79 or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*2762452.\nAnswer: 1104980.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 3*g, -101 + 86 = -w + 3*g for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(171)*2 - sqrt(171))\/sqrt(9)*5)**2 + 5)*-5.\nAnswer: -2400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6867 = 13*t + 8*t. Let c = t - -1808. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (4 + -11)\/(3 + (5 - 9))*263 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(((l\/(l*l\/l**(-2\/17)*l))\/l)\/l))\/(l*l*l\/((l**(4\/9)*l)\/l*l*l)*l))\/(l**(-24)\/(l*(l**(-17)\/l)\/l*l)) assuming l is positive.\nAnswer: l**(1616\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -16527, -16651, -16847, -17109, -17431, -17807, -18231, -18697?\n\"Answer: v**3 - 42*v**2 - 5*v - 16481","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(-4)*(-4)\/2. What are the prime factors of (-3 - (-4)\/8)*774\/q?\nAnswer: 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 12*l**4 + 20*l**3 - 48*l**2 - 16. Let s(w) = -w**4 + w**2 + w + 1. Let h(f) = o(f) + 16*s(f). Find u, given that h(u) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 408 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 79803833 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -544.37 to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-228)\/63*(-57)\/(-2). Let r = v - -103. What is the common denominator of r and 81\/8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -177507, -177601, -177697, -177795, -177895, -177997?\nAnswer: -178101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 + 26*s**2 - 28*s - 21. Let z be q(-27). Find the third derivative of j**3 + 5*j**4 - 8 - z*j**4 - 13 + 3*j**2 + 19 wrt j.\nAnswer: -24*j + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.5 + 0.1. Let u = -8 - -12. Let l be (-6)\/3 + (-6)\/(-4). What is the third biggest value in q, u, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 376 = 5*z + 3*a, -293*a + 289*a - 243 = -3*z. What is the greatest common factor of 651 and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a milligram in micrograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -48 (base 12) to base 13\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1259 - -1675. Is n a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p - 1. Let s(b) = 4*b**2 - 4*b - 5. What is 6*j(u) - s(u)?\nAnswer: -4*u**2 - 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*12\/(-2) - (31 + -39)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -16, 0.2, 1117?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131\/3*q**2 + 49\/3*q**4 + 168*q + 208\/3 - 210*q**3 = 0.\nAnswer: -4\/7, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 538235569?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l + 3. Calculate f(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1877754 and 524?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/((-8)\/(-32)*-1). Let b be ((-4)\/(i\/8))\/((-4)\/(-98)). What is the highest common divisor of b and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 121766, 121539, 121182, 120695?\nAnswer: 120078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 9:12 AM?\nAnswer: 9:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(5\/((-20)\/(-16)))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7120457.\nAnswer: 29, 245533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 74809?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.049*5.578.\nAnswer: -0.273322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1554?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 6024*b**3 - 18*b**2 + 300*b - 7. Let g(j) = 9037*j**3 - 28*j**2 + 449*j - 11. Let p(w) = -7*g(w) + 11*q(w). Find the second derivative of p(d) wrt d.\nAnswer: 18030*d - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -746 - -746.4. What is the fourth biggest value in -6\/11, -7, v, -2?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/b**(-16)))\/(b\/(b*b\/((b\/b**(-2\/5))\/b))) assuming b is positive.\nAnswer: b**(-77\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -65 - -65. Suppose -74*a + 72*a + 7916 = m. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(588) + sqrt(588))\/sqrt(4).\nAnswer: 35*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9273.9819 - -9275. Round j to one dp.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 (base 7) in base 16?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 150 and 2.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1331*x**5\/5 + 41987*x**4\/5 - 345172212*x**3\/5 - 37656800*x**2 - 34233952*x\/5 - 414960 = 0. Calculate x.\nAnswer: -525, -2\/11, 494","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 36634?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 13003200 (base 4) to base 11\nAnswer: 1a78a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/((-15)\/(-29)) - 7\/35.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 12295.\nAnswer: 4\/12295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, r: 1, s: 2, v: 1, h: 2, x: 1}. Give prob of picking 1 d and 1 r.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*h**3 + 108*h**2 + 243*h - 13598299.\nAnswer: -18*h**2 + 216*h + 243","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 3*w**2)*(4*w + 3*w + 2*w) + w**3 + 0*w**3 + 0*w**3.\nAnswer: -26*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 - 8*b - 62. Let i be g(11). Let w(o) = -o - 26. Let s be w(i). Let j(r) = r - 2. What is j(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8\/5*s + 12\/5*s**2 - 16\/5 + 2\/5*s**4 - 2*s**3.\nAnswer: 2*(s - 2)**3*(s + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2*1*(19 + -18). Let l be -187 + (t - -4) + -5. Let k be (-100)\/l + (-2)\/4. Is k <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-56)\/546)\/(215\/72 - 3). Which is smaller: f or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*q - 5*q + 2*q**3 - 16 - 5*q.\nAnswer: 2*q**3 - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6958 + -173.\nAnswer: 6785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4.2 (b) -0.4 (c) 3\/2 (d) -10 (e) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, -70, -21, 0, -11, 2 in descending order.\nAnswer: 3, 2, 0, -5, -11, -21, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 671, 1344, 2017, 2690, 3363, 4036?\n\"Answer: 673*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1062.\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7130 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 - 68*o**2 - 722*o - 257. Let c be h(-9). Determine y so that 2*y**c - 14\/3*y**2 - 40\/3 - 24*y + 26\/3*y**3 - 2\/3*y**5 = 0.\nAnswer: -2, -1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 22\/45 or -2051.8?\nAnswer: -2051.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3814346384 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 - 4*w**2 + 3*w - 7. Let l be h(-5). Let t be ((-1)\/l)\/(2\/(-12)). Suppose 5 = g - t. Solve -3*d + g = 1 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 AM and 7:18 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2355985483 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2156*t + 22871 - 46500 = 130924 - 10101 for t.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p**5\/3 + p**4\/3 + p**3\/3 - p**2\/3 = 0. What is p?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28465608 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -20*v**2 - 247*v + 730. What is i(3)?\nAnswer: -191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -4*z - 7. Let t be h(-7). Suppose y + 0*y = 0, 3*f - 9 = -3*y. Let r be 2*(t\/f - 0). Calculate the highest common factor of r and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1215330 to the power of 1\/2, to the nearest integer?\nAnswer: 1102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -21 - (-18 - (27 + -37) - -8)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -354 - 428 - 563 - 9*w - 3*w + 13*w.\nAnswer: w - 1345","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -183 divided by 6?\nAnswer: -61\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 37.43 + -35.43. What is the third smallest value in -41, -38, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.85 minus 3926074103.01?\nAnswer: -3926074104.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (((-1 + sqrt(833))*-2)**2 + -5 + (sqrt(833)*2*4 - (sqrt(833) + 3*(sqrt(833)*-2 - sqrt(833)) + sqrt(833)))**2)*1)*-3.\nAnswer: -572256 + 168*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4915*u**3 - 1858*u**3 - 3073*u**3 + 0*u**2 + 0*u**2.\nAnswer: -16*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -4\/29, 0, -19, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 59, 120, 181?\nAnswer: 242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -95 + (33 - (-33 - -85)).\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -14*b**3 + 2*b**2 - 2*b - 4. Suppose 0 = 15*j - 16*j - 19*j - 60. Let q(k) = 14*k**3 - 3*k**2 + 3*k + 5. Calculate j*i(p) - 2*q(p).\nAnswer: 14*p**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + u + 103 = 3*l, -3*u - 3*l = -63. Calculate the remainder when 99 is divided by u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52845 is divided by 17511.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*x + l = 20*x - 5, 0 = l. Which is the closest to 0? (a) -1\/9 (b) -2 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 286 and 9?\nAnswer: 2574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5311?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -4*o + 146*o**2 - 147*o**2 - 3 + 0. Let x be n(-3). What is the tens digit of (x + -159)*2\/(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -101 + 46. Let x = 60 + z. Solve 0*h + x*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -711662 by -7.\nAnswer: 101666","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6695417*s**4 + 860140 wrt s.\nAnswer: 26781668*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of n**8\/336 + n**7\/70 - n**6\/120 - 11*n**5\/60 - n**4\/2 - 2*n**3\/3 + 26*n**2. Suppose f(y) = 0. Calculate y.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1287474443?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9614.4? (a) -4 (b) -3 (c) -36 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 221 divide 25194?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 - 4. List the prime factors of (-48)\/(0 - (-2 + 12\/i)).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -5*t - 3. Let i(s) = 2*s + 1. Let p(w) = 3*i(w) + o(w). Let z(r) = 126*r + 2. Determine z(p(q)).\nAnswer: 126*q + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 0 - 28) + 59?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -197 + 25*d**4 - 384 - 190*d**4 - 812*d**4 + 129 wrt d?\nAnswer: -3908*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/((h*h**(-3\/8)*h*h)\/h)*h\/(h*h**(2\/9)) assuming h is positive.\nAnswer: h**(-61\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 356.5 - 357. Let r = -1.2 - -1. Let y = -0.3 - r. What is the second biggest value in g, y, -4\/7?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 AM and 5:14 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2256089525?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, x: 1, v: 2, c: 1, a: 1}. Give prob of sequence vua.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(-130)*(-24)\/(6048\/21)*2?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 137 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-6) - 506\/(-6). Let r(a) = 2*a**3 - 3*a**2 + 5. Let o be r(6). Suppose -5*q + o - j = 0. Does 14 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.21717136 + -2.217. What is z rounded to 6 dps?\nAnswer: 0.000171","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 145 divide 110509865?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 v, and 2 q when four letters picked without replacement from {k: 2, u: 1, i: 3, q: 4, t: 2, v: 3}.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -706, -4 in decreasing order.\nAnswer: 3, -4, -706","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 3 + 2*v)*(2 + 0 - 3) + 0 + 0 - 2*v + v - v - v)*((-4 + 5 + 3)*(-v + v + 3*v) - 2 + 3 + 0 + 2*v).\nAnswer: -70*v**2 - 5*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 3*s - 1 = -c, -5*c + 2*s - 1 = 0. Is 8\/41 smaller than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - o + 2)*(3 + 2 - 4 + (20 - 15 - 19)*(-4 - 1 - 1)).\nAnswer: -85*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -286*y - 109993 = -309*y + 71523. What is the hundreds digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f**3 + 956151*f - 956151*f.\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/211650 and -9\/56606?\nAnswer: 72172650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*k + 1288 = 54*k + 2*k for k.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*x - 2*w + 28, 165*x + 5*w + 6 = 163*x for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 277429.7611 to the nearest 1000.\nAnswer: 277000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -33*(-114)\/418 + 6979\/(-777)\nAnswer: 2\/111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 638790 and 8560.\nAnswer: 5110320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-1))\/(404\/(-1515)*(-600)\/(-8080))\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*t + 10 + 5 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 17965313 to the power of 1\/2, to the nearest integer?\nAnswer: 4239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6416394 to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21*k**5 + 20*k**4 + 2*k**3 - 4*k**2 - 108 wrt k?\nAnswer: 1260*k**2 + 480*k + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - -48) + (1 - 3 - (-16 + 6 + -1))?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-1 - (-2 + 1 - 0)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1337\/4 + 6879\/20. Find the common denominator of -47\/136 and d.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w + 10. Let s be z(-7). Let a(t) = 2*t + 3 - t**2 - t - t**s + 2*t**2. What is a(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 6*z**2 - z + 5. Let o(g) = g**3 - 2. Let v be o(0). Suppose 5*h - 37 - 13 = 0. Let a(f) = f**2 + 1 - f + f. Give h*a(m) + v*d(m).\nAnswer: -2*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2259, -2244, -2243, -2262, -2307?\n\"Answer: -j**3 - j**2 + 25*j - 2282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 40 + -78. Let p = -11 - y. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -974*d + 7202. List the prime factors of f(-8).\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 156225 = 10*x + 8315. Suppose -2*y - 8877 = -5*y + 3*l, -x = -5*y + 3*l. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -0*i - 4*y + 35, -4*y = -i + 7. Let h(s) = s - 3. What are the prime factors of h(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -5477?\nAnswer: 21908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 59.3 + 16.7. Let p = 69 - n. Let a be ((-10)\/6)\/5*1. Sort p, 1, a.\nAnswer: p, a, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 2*v**5 - 10106*v**4 + 12761350*v**3 + 12771458*v**2 = 0.\nAnswer: -1, 0, 2527","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 302 is divided by 76?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*r - 2*t - 2 = 54*r, 5*t - 7 = 2*r. Solve 4*m + 2*b - 12 = 0, r + 5 = m + 2*b for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 11*o**3 + 41*o**2 + 23. Let d(v) = v**2 + 8*v + 7. Let q be d(-5). Let j(a) = 4*a**3 + 14*a**2 + 8. Let w(n) = q*j(n) + 3*c(n). Does 3 divide w(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0228 * -3220.\nAnswer: -73.416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -196 - -199. What is the first derivative of -3*r**2 + 3*r**2 + 138 + 115029*r**3 - 115069*r**y wrt r?\nAnswer: -120*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4310 + 65?\nAnswer: 4405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -970573448144.999997593 - -970573446568. Let m = -1577 - g. Round m to 7 dps.\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1*10)\/(2 + -4). Suppose 7 - 19 = -4*w - 5*k, 6 = 2*w - o*k. Solve -c + w = -0*u + 3*u, 0 = 4*u + c - 4 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.2 and -6.2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 147, 0.33, -20\/9, -42 in increasing order.\nAnswer: -42, -20\/9, 0.33, 147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32131 (base 7) to base 12.\nAnswer: 4734","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -58280*f**2 + 1085. Let n(q) = 161*q**2 - 3. Give 3*d(g) + 1085*n(g).\nAnswer: -155*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10\/(-3) + 4\/(-6). Let p = 6 + j. Factor 2*f**5 - 3*f**3 + f**3 - 2*f**2 + 4*f**p - 2*f**4.\nAnswer: 2*f**2*(f - 1)**2*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1513 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 100749323.\nAnswer: 5\/100749323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -153\/815 - 2\/163. Which is the nearest to -1? (a) m (b) -1\/4 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -7546567, -15093133, -22639699, -30186265, -37732831?\n\"Answer: -7546566*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -758 - -838. Is o a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 118*q - 123*q - g - 20, -4*q + 4*g = 40 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*z - 100*z = -28. Factor -z*m**2 - 4721*m + m**2 + 4733*m.\nAnswer: -3*m*(m - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 8:57 AM?\nAnswer: 5:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(108)*1*-1)\/(sqrt(1089)*-1*4 + (sqrt(1089) - -5*-1*sqrt(1089)) + sqrt(1089)).\nAnswer: -4*sqrt(3)\/77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a - 2*a + 4*a)*(1 - 4 + 2)*(-7023 - 7634 + 559).\nAnswer: -14098*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 2 + 0 + 3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -3*h - 1. Let y be k(-1). Let i be (y - 4) + 11 + -3. Suppose -n - 2*o = -i, 2*n - 4*o + 6 = o. Put 5, n, 3 in ascending order.\nAnswer: n, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15 + 4*w - 15 + (w - 2*w - w)*(-2 - 2 + 2) + w + 2*w - w + 2*w - 1 + 1 + (-3 + 0 + 1)*(3*w + w - 5*w).\nAnswer: 14*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*u + 1589 + 2097 = -99*u for u.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1208, 1202, 1196, 1190?\n\"Answer: -6*h + 1214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 441931 to the power of 1\/2, to the nearest integer?\nAnswer: 665","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 4*m = 7*m - 116, 4*m = -5*b + 569. What are the prime factors of b?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1 (b) -3\/5 (c) 1\/4 (d) 6 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, 4, 6, -3 in decreasing order.\nAnswer: 6, 4, 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2387806?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in 27\/5, -12.9, 1, 3, 0.1?\nAnswer: 27\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -238 + 716\/3. Let s = 23 + -18. What is the nearest to -2\/7 in 12, y, s?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2*u - 1. Let p be i(4). Suppose -p*q - 12 = -292. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101378372 is divided by 5715?\nAnswer: 5702","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 6*a**3 + 91*a**2 + 14*a - 16. What is t(-15)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 u when three letters picked without replacement from xxguxxuuxxxuuu?\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of 0*u**4 + 4*u + 1\/2*u**6 + 10\/3*u**3 + 3 + 0*u**5 + 0*u**2. Find the second derivative of c(p) wrt p.\nAnswer: 180*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 7*r + 3*r + 4*r. Let o(a) = 6*a**2 - 20*a - 5. Let t(l) = l**2 - 4*l - 1. Let f(q) = -o(q) + 5*t(q). Determine h(f(u)).\nAnswer: -14*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (2*(sqrt(13) - sqrt(52)) - sqrt(13)).\nAnswer: -3*sqrt(13) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - 0. Suppose 5*r + 5 = u + 36, 0 = d*r + 3*u - 9. Calculate the lowest common multiple of 5 and r.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 - 19*s**2 + 2. Let v be u(-19). Solve -l - 4 + v = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (1 + 0)*(-18 - -179) is divided by 56.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of -t**7\/42 - 14*t**4 - 121*t**3\/3 + 2*t**2 + 772*t. What is the second derivative of d(k) wrt k?\nAnswer: -20*k**3 - 336","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(((-6)\/4)\/(-3)). Suppose -d*u + 5*i = -u - 2, -50 = -4*u - i. Solve -2*c - u = 2*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1367 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -869 - -1020. Calculate the remainder when u is divided by 33.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {l: 3, a: 7, x: 2, j: 8}?\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t and 1 w when four letters picked without replacement from {n: 1, c: 3, s: 1, h: 5, w: 4, t: 4}?\nAnswer: 4\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*f**3 + 778*f + 2*f**3 - 9*f**3 + 0*f**3 - 91*f as h*f + t*f**3 + y*f**2 + g and give h.\nAnswer: 687","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1263, 2, -13, 875 in ascending order.\nAnswer: -13, 2, 875, 1263","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -58284310 + 58284329.9999996. Let c = -25 + 45. Let b = c - w. Round b to six dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of -p**4\/4 + 2*p**3 - p**2 - 11*p - 5. Let h be g(5). Solve h = 4*o - 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122*w**2 + 15848*w - 514536 = 0. Calculate w.\nAnswer: 3898\/61, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 - 21*u + 103. Let p be t(8). Let r be (-4)\/(-6)*(0 + (-12)\/32). What is the closest to 1\/2 in -0.1, r, p, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -0.2 (b) 147 (c) 0.2 (d) -2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 1798972 to the nearest one thousand.\nAnswer: 1799000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of 0*l**6 + 0*l**3 + 0*l**7 + 1\/42*l**8 - 1\/4*l**4 + 0*l**5 + 3*l**2 + 0 + 0*l. What is the second derivative of h(q) wrt q?\nAnswer: 160*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 358406?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-1311)\/(-4370))\/((-48)\/20)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of -f**2\/2 + 13. Let p(i) = -i**2 + 6*i - 2. Let t be p(5). Let l(y) = -3*y + 5*y - t*y. Give l(g(b)).\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.4, -17\/10, -52, 0, 376?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1360815 - 243815. Suppose 13*m = 3*m - y. What is m rounded to the nearest 10000?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.022 - 7.378. Let q = -7 - g. What is the nearest to -1\/3 in 0.1, -5, q?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 180131 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 13734806.6 to the nearest ten thousand.\nAnswer: 13730000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pppp when four letters picked without replacement from ppppppp.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 - 26*r**2 + 138*r - 36. Let g be b(7). Sort -3, -5, g, -26, 3 in ascending order.\nAnswer: -26, -5, -3, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -135 times 5418.9?\nAnswer: -731551.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-20)\/(-5) + 0 - 129. Let b = -88 - x. Suppose 36*n - b*n + 39 = 0. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -535, -551, -593, -673, -803?\n\"Answer: -2*m**3 - m**2 + m - 533","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1690779 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.06 - -51.94. Let f = 120 - i. Let l = 67.0000195 - f. Round l to 6 dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -373 - -372.6. Put -0.5, -2\/7, u, 17\/4 in descending order.\nAnswer: 17\/4, -2\/7, u, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2432 + 80*y - 2432.\nAnswer: 80*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27324594*b - 27324594*b - 5*b**2.\nAnswer: -5*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 + 0.0392.\nAnswer: 0.2392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -122 + 105. Let v(q) = 8*q + 139. Let n be v(d). Which is the closest to 0.1? (a) n (b) 5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 + j - 3. Let p be g(2). Sort -3, p, 2 in ascending order.\nAnswer: p, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -58, -577, -1982, -4717, -9226, -15953, -25342?\n\"Answer: -74*h**3 + h**2 - 4*h + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 314630 equal to 314408?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15595, 4, -1 in descending order.\nAnswer: 4, -1, -15595","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - -3) + (-6 - -2). Let j = -0.53 + 2.604. Let o = j - 0.074. Put u, -3, o in descending order.\nAnswer: o, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.06, -5, 0.55, -0.09?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 3*p = -118. Let n = p + 76. What is the highest common divisor of n and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13042292 - 51280685. Let p = -38238391.05000223 - h. Let k = p - 1.95. What is k rounded to 7 dps?\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s\/s**11)\/s)\/s)\/s**(-10) assuming s is positive.\nAnswer: 1\/s","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + -13662?\nAnswer: -13665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1688\/9 + 280\/3. Let c = 94 + u. Find the common denominator of c and -47\/7.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - 1) + (9 - (-4 - 21) - -35).\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of 2*g**7\/21 - 2*g**6\/3 + 4*g**5\/5 - 41*g. Factor t(q).\nAnswer: 4*q**3*(q - 4)*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gw when two letters picked without replacement from {w: 2, g: 4}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.92 - 0.08. Let z = p + 3.00012. Round z to 5 dps.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 430 + 82. Suppose -2*s + w = t - 5*s, 4*s = -2*t + 542. Is t a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of h**4\/8 + 5*h**3\/3 - 11*h**2. Let g be f(5). Let m = g - -12. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 h when two letters picked without replacement from {h: 3, x: 3}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 399, 394, 385, 372, 355?\n\"Answer: -2*v**2 + v + 400","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, l: 1, c: 3}. What is prob of sequence ce?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -16*u. Let m(c) = c + 6. Let o(v) = 3*v + 17. Suppose 0 = p - 6*p + 85. Let k = -14 - -8. Let t(i) = k*o(i) + p*m(i). What is t(a(b))?\nAnswer: 16*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -9) + (0 - (3 + 2))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 5*v + 0)*(862*v + 683*v - 730*v).\nAnswer: 4075*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*g = -0*g. Solve 0 = 3*i + m + 16, -3*i - 2*m - m - 18 = g for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 1 - 16 = 0. Suppose 0 = -v*c - 25 + 109. Let t = -1 + c. Does 4 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6526.\nAnswer: 2, 13, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -1\/4, -2\/557?\nAnswer: -2\/557","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 91273.83um?\nAnswer: 0.09127383","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 2*y - 11. Let u be m(8). Suppose -u*a + 22 - 7 = 0. Find the first derivative of 0 - a*f**2 + 0*f**2 + 2*f**2 + 3 wrt f.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3\/4, -3, -125.\nAnswer: -125, -3, -1, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-44)\/(-8) - -2)*2. Let n = a - 12. Suppose n*u - 7*u = -108. What are the prime factors of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = o - 3, 70 = -16*z + 289*o - 287*o for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-27)\/18)\/(6\/12)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 36 - 10 - 13*u**3 - 53*u**3 + 66*u + 4 + 33 - 60*u**2 - 3*u**4.\nAnswer: -3*(u - 1)*(u + 1)**2*(u + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2762 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 870, 1247, 1128, 513, -598, -2205, -4308?\nAnswer: -6907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 1 - 4)*(-1280*z - 1276*z + 622 + 2558*z) in the form u*z + l and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/563 in -5, 0, -231\/13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*b**2 - 4*b**2 + 6*b**4 + (-b - 2*b + 5*b)*(3*b**3 + 2*b**3 + 0*b**3).\nAnswer: 16*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 8:01 AM?\nAnswer: 4:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 376283, 376318, 376353, 376388, 376423?\nAnswer: 376458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1172*y - 226*y + 36772 = -17750 for y.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22)\/66 - (-1)\/3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2))**35*(a**(-4)*a)\/a*a**(6\/5) assuming a is positive.\nAnswer: a**(-364\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39 - 29 - 8 - 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 55 and 110.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zmmczzcmzzzczc. Give prob of picking 1 z, 2 m, and 1 c.\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3398, -5, -2, 5, 4 in ascending order.\nAnswer: -5, -2, 4, 5, 3398","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -3*a. Let r(n) = 2253*n - 239. Give d(r(v)).\nAnswer: -6759*v + 717","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*u - 1 + 1)*(-3 + 3 + 4*u**2 + (5*u - u - 2*u)*(-4*u + u + 2*u) - 3*u**2 - 2*u**2 - 2*u**2) as f*u + q*u**2 + i*u**3 + s and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of -x**6\/60 + 49*x**5\/25 + x**4\/10 - 196*x**3\/15 - 11029. Determine t, given that p(t) = 0.\nAnswer: -2, 0, 2, 98","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 PM and 8:02 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 plus -1192506?\nAnswer: -1192529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 + -4. Suppose 3*a = -i + 1. Let y be (a + 1)\/(1\/13). Is -14 smaller than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11787 times 0.582?\nAnswer: -6860.034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -40805285.310015 - -40805137. Let w = k + 148.36. Let v = w + -0.05. What is v rounded to 5 dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 5*b = 4*b. Suppose b = -12*r + 5579 + 9409. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x - 24. Give l(33).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from huhhyxuhxhhxhxxu. Give prob of picking 1 h and 1 y.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -46647\/4 - -11540. Let g = -1919\/16 - t. What is the common denominator of g and 61\/10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -106*r + 9646. Calculate w(91).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/23, 2\/3, 91\/6, -3.\nAnswer: -3, 2\/23, 2\/3, 91\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2 - 2 + 2*y)*(-3 - 2 + 6) + 2*y - 5*y + 2*y + 12 - 12 - 4*y)*(-2 + 3 + 0) in the form i + p*y and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q. Let k(c) = c**3 + 7*c**2 + 10*c + 1. Let a be k(-5). Suppose -7*z = 66 - 24. Let g(p) = 2*p**2 + 4*p - 1. Calculate a*g(x) + z*v(x).\nAnswer: 2*x**2 - 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -303 + 98 = -5*s. What is the remainder when s is divided by 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 3*m + m - 20, -3*m + 15 = -3*w. Let s be 5 - 2 - (-1 + 3). Suppose -5*c - 9 - s = 0. Sort w, 2, c in decreasing order.\nAnswer: 2, w, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4679279005 to the power of 1\/8, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, t: 2, w: 5, h: 2, i: 10}. What is prob of sequence wiih?\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of 7*g + 9\/2*g**2 - 1\/3*g**3 + 200. Determine y(10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -46 + 46 + 7*a to k + h*a and give h.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/((-108)\/(-5)))\/((-20)\/12)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + 424?\nAnswer: 423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20972, -83913, -188820, -335693, -524532, -755337?\nAnswer: -1028108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-144)\/(-126)*1\/(-2)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16597 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11.26 - -0.24. Let l = j - 9. Let q = l + 23.4. What is q rounded to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1730249 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -8*d**3 + d**2 + 6*d + 15. Let g be n(7). Let z = g - -4654. Suppose q - 15*q = -z. Does 6 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-3\/7)*n*n*(n\/n**(-5))\/n*n)**7 assuming n is positive.\nAnswer: n**53","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 60 = 3*t + 2*t, 5*t - 50 = -5*s. Suppose -2*v + s = 3. Suppose 0 = -12*i + 18*i. Solve j + v*j + 15 = i for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1\/4, -5655, 4, -8?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 + 5*j - 15. Let v be w(5). Put -0.5, -1, v in descending order.\nAnswer: -0.5, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22667988 by 147.\nAnswer: -154204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.1 at most as big as -38863?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.007 and -0.19.\nAnswer: -0.183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24046 to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -54 - -52. Let c be (-4)\/((93\/46 + v)\/(-1)). Suppose 0 = 8*q - 424 - c. What is the remainder when q is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**26\/(i**30\/i) assuming i is positive.\nAnswer: i**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000282 to 6 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 7*z**3 + 3*z**2 - 9*z + 15. Let y(p) = 3*p**3 + p**2 - 4*p + 7. Calculate 4*m(j) - 9*y(j).\nAnswer: j**3 + 3*j**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-4)*-21*(-180)\/(-54). Let a(z) = -603 + b*z**2 + 0*z + 601 + z. What is the tens digit of a(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*n = -9 + 44 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6*(102\/18 + -6). Put 6, q, -5, 3 in descending order.\nAnswer: 6, 3, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*u - 7 = 3*c - u, c - 5 = 4*u for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0602 and 27321.\nAnswer: 1644.7242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -70\/9 (b) -3 (c) -0.07 (d) 2\/7 (e) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i - 31*i**3 + 2*i - i**3.\nAnswer: -32*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 + 21\/(-9))\/((-3)\/(-351)). Suppose h - 388 = -2*d. Calculate the highest common divisor of 62 and d.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.2715 + 0.0185. Let b = j - 0.09. Let x = 3.295 - b. What is x rounded to 2 dps?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-2)\/(v**(-5)\/v)*v**(5\/4)*(v**(6\/7)*v)\/v assuming v is positive.\nAnswer: v**(171\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(495\/22)\/(6\/(-2))*(-12)\/6?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7833 is divided by 145?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (0 + -2)) + -3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 PM and 6:38 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 128 by -64.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1330)\/8)\/(-7)*26*112\/1820.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 893.3 + -894. Which is the closest to -1? (a) 5 (b) 2\/3 (c) j (d) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6 - 3203100?\nAnswer: -3203094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 25\/4 of a millennium?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + 2\/(2*2). Let u = -2611\/822 - -4\/411. Let i = u - -47\/12. What is the second biggest value in i, -5, o?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23\/30 - 7\/6. What is the closest to y in -15, 2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132*r + 134*r = -3*t - 107, -5*r + 2*t + 103 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vrvv. What is prob of picking 1 r and 1 v?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 728.25294 times 1\nAnswer: 728.25294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -495, -493, -491?\nAnswer: -489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*u**5 + 215*u**4 + 85*u**3 - 295*u**2 - 110*u + 80 = 0.\nAnswer: -8, -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/12 and (-1108)\/(-96) + (-4)\/6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 12, 0.5, 226?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -56*a - 157 - 181 + 335 as v*a + u and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*k = 87*k - 60. Let y(b) = 2 - k*b**2 + 13*b**2 - 1 - b**3 + 0*b**3. Let m(p) = 5*p**3 - 6*p**2 - 4. Give -m(d) - 4*y(d).\nAnswer: -d**3 + 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 110*r**3 - 1963*r + 1963*r.\nAnswer: 110*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2314, -9874, -22690, -40762, -64090?\n\"Answer: -2628*k**2 + 324*k - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1532 a multiple of 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -210010220110 (base 3) in base 10?\nAnswer: -416190","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 1 (b) -0.02 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2879881?\nAnswer: 41, 70241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 13722.11 rounded to the nearest 1000?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/2697 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -23 - 638.2809333.\nAnswer: -661.2809333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h + 3. Let k = 15 + -11. Suppose -c + 5*d = k*d - 1, 0 = 4*c - 2*d + 4. What is the units digit of z(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1012 - 100232022?\nAnswer: -100231010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3130.475 centuries to decades.\nAnswer: 31304.75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 82*x - 13951. Let l(q) = -35*q + 6976. Calculate 7*l(r) + 3*y(r).\nAnswer: r + 6979","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1389364709 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -470 + 478. Let t be (60\/32)\/15 + 15\/r. Solve 2*s + 3*k = 7*s + 12, -3*s - t*k = -8 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 + y**2 + y + 4. Let s be 0 - 0\/(-2 + 1). Let l be q(s). Suppose -2*h = -l*h + 8. Is 2 less than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2386\/(-6)*-1 + 1\/3. Suppose 2*b = -3*h + 292, 5*b - 5*h = 357 + g. List the prime factors of b.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 2, 5, -41, 4, 3.\nAnswer: -41, 2, 3, 4, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/11 - 6*(-135)\/330. Solve 5*l + 11 = -5*d - 9, -3 = 2*d - q*l for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -36 and 90?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6205 (base 7) to base 3.\nAnswer: -2222001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*55.92.\nAnswer: -111.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1684356 is divided by 420969.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/6)*z**(-1\/13))\/(z**(-22)*z*z**1) assuming z is positive.\nAnswer: z**(1567\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 9:20 AM?\nAnswer: 7:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8*(2 - 9\/6). Let o(r) = r**2 + 2*r + 4. Let m be o(-2). Do c and m have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5, -28, -168 in descending order.\nAnswer: 5, -4, -28, -168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 14\/8 + (-36)\/48. Let i(o) = o. Let h(u) = 2*u + 3. Let x(n) = n + 1. Let w = 6 + -3. Let p(f) = w*x(f) - h(f). Calculate c*p(m) + i(m).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.39258 rounded to one dp?\nAnswer: 33.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 + (-28)\/(-8)*72\/(-21).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 449044 to the power of 1\/4, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.9 + 3.2. Let t = o + -0.3. Let i = -3.9 + 4. What is the biggest value in 0.5, t, i?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/2)\/(3\/990). Let n(m) = 2*m**3 + 6*m**2 - 5*m - 3. Let c be n(-5). Let j = g + c. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m**3 + 3*m**3 - 2*m**3 + 2*m**3 + 0*m**3 - 4*m**3 + (-5*m**2 - m + m)*(-3*m - 5*m + 4*m) - 2 + m**3 + 2)*(4 - 2*m**2 - 4).\nAnswer: -34*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 7 - 34 = -3*p, 0 = -5*c + 4*p. Suppose r + q - 213 = 0, -q = -c*r + q + 840. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2 + l - 1. Let q(d) = -d**2 + 4*d. Let x be q(3). Let v(k) = -2*k + 3. Let s be v(x). Give o(s).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*q + 850 = -1726. Is 8 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -103, -121, -171, -271, -439, -693?\n\"Answer: -3*l**3 + 2*l**2 - 3*l - 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13177787 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*a**2*h**2 + 16*a**2*h*p**2 - 8*a**2*h*p + 14*a*h**2 + 2*a*h*p**2 - h**2*p**2 wrt h?\nAnswer: 16*a**2 + 28*a - 2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o + 2*o + 4*o**3)*(6*o**2 + 3*o**2 - 3*o**2).\nAnswer: 24*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*p**2 + 2*p**2 + p**2 + (967 + 615 - 677)*(p**2 - p**2 - 2*p**2) + 2*p - 2*p - p**2 to d*p + f*p**2 + j and give f.\nAnswer: -1810","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7512?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 608 is divided by (-5 - -3 - 5)\/(0 + -1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 2*q**3\/23 - 4386*q**2\/23 - 7631850*q\/23 - 2569508422\/23 = 0.\nAnswer: -613, 3419","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18 - (4 + -1)) + -146 + 139?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37342931?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, y: 2, w: 2, z: 1, n: 1}. Give prob of sequence ywn.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*f = -80 + 12. Let t(j) = j**2 + 7*j - 2. Let g be t(-8). Let z be (-4)\/(-10) + (6 - g). Is f at most as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -28*j**3 - j**2 + 15*j + 17. Let h be s(-1). Solve h = -3*d + 44 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12341 - 345465\/28. Find the common denominator of i and 27\/7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 307.910491 to 2 decimal places.\nAnswer: 307.91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6282 - -9577. Does 21 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 5:22 PM?\nAnswer: 8:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.34 + -0.4. Let m be 304\/(-3952) + 70\/234. What is the closest to q in m, 4, -3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d + 11. Let u = -14 + 7. Let h be s(u). What is the derivative of h*v**2 - 1 - 4*v**2 - v**2 wrt v?\nAnswer: -2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by -40617678\nAnswer: 7\/40617678","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z - 6. Suppose 70*r = 55*r - 240. Let q be i(r). Factor -q*p - 5\/2*p**3 + 10*p**2 + 0.\nAnswer: -5*p*(p - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1.3, 0.123, 38\/7, -8, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w - 57588 - 4*w + 57588.\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, x: 5, j: 2, z: 1}. Give prob of sequence xjx.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -284513 = 2*j - 1238361. Let z = 991919 - j. Suppose c - z = -6*t + t, -4*t + 411980 = 4*c. What is t rounded to the nearest 10000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 623 is divided by 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2499?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -84*i - 26*i - 21*i + 91700. What is the greatest common divisor of 1900 and i?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 37*p + 1. Let i(w) be the first derivative of 6*w**2 + 1008. Determine 7*i(d) - 2*z(d).\nAnswer: 10*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8138 - -8161. What is the nearest to -0.06 in v, 0.5, -1\/6, 1\/4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwrwwwwwwr. What is prob of picking 1 r and 3 w?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 201202211222 - -2102210?\nAnswer: 201212021202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, 0 in increasing order.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/45 and 22\/10827.\nAnswer: 54135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - 2*m + 16 + 2, -3*b + m = -2. Suppose -b = t - 4. Solve -3*c - 3*g = -c - t, 4*g = -3*c + 1 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 - 97*v + 1910. Is h(75) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*v**2 + 62*v**2 - 317*v**2.\nAnswer: -315*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 793340.9 decades in millennia?\nAnswer: 7933.409","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 2*t + 13 + 11, -h + 4*t = 8. What is the first derivative of 12*q + 2 - 6 - h*q wrt q?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 75 = 5*a, -13*a + 15*a - 54 = -2*z. Solve -h + 2*h - 8 = -3*w, -5*w + 5*h = z for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1390123 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 2 = -1. Suppose -5*y = l*j + 16 + 7, -4*y = 2*j + 18. Put 1\/4, y, 0.3 in ascending order.\nAnswer: y, 1\/4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-2\/5))**15*(((t*(t*(t\/(t\/(t*t**6)))\/t)\/t*t)\/t)\/t)\/t*t*(t\/((((t*t**(-5)*t)\/t)\/t)\/t)*t*t*t)\/t assuming t is positive.\nAnswer: t**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 3*b - 15. Let u be m(7). Suppose 308 = 10*o - u*o. Let h = 154 - o. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 10*h + 1045 = 0. Is h a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a. Suppose 5*t - 4*t = -3. Let i(f) = 3*f. What is t*c(l) + 2*i(l)?\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of -2*q**6\/15 + q**5\/5 + q**4\/3 - 2*q**3\/3 - 2*q - 13. Factor m(g).\nAnswer: -4*g*(g - 1)**2*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -833 (base 15) in base 6?\nAnswer: -12320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 352?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/2*(-8)\/(-32)*2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -29*20\nAnswer: -580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6114361\/720 - -8492. What is the common denominator of g and -143\/240?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 1 (b) 4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 645071511?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -7 (b) -2149 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = -157*n + 154*n - 2, 2*n = 3*m - 13 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 - 16*m**2 + 18*m + 25. Let k be w(-17). Suppose k*n - 3*n - 15 = 0. List the prime factors of 8668\/66*n\/2.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1624 and 3191944?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(32) + -2 - sqrt(2))*5 + -3*2*sqrt(2) + -1.\nAnswer: -11 + 9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, s: 12}. What is prob of sequence sr?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -1920*f - 103*f + 763*f as h + t*f and give t.\nAnswer: -1260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2339 is divided by 2260.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11448*w**5 + 12*w**2 - 115?\nAnswer: 686880*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 3 + 6*o**2 - 1 + 17*o - 6*o. Let z(k) = k**2 + k + 1. Let s(q) = -a(q) + 5*z(q). Let l be (0 - -2*1)*-3. Give s(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqlqlllqqlqlqqllqqql. Give prob of picking 2 q and 2 l.\nAnswer: 132\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -36 - -47. Suppose 2*m + 3 = a, -3*m + 44 = 4*r. Calculate the highest common factor of r and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 9 - 2*g**2)*(3*g**2 - 2*g**2 - 12*g**2) + (3*g + g - 2*g)*(-4*g**3 + 3*g**3 + 0*g**3).\nAnswer: 20*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 + 14*b**2 - 30*b + 2. Let k(a) = -2*a**3 - 27*a**2 + 59*a - 4. Let j(p) = -4*k(p) - 7*w(p). What is the tens digit of j(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 + 5*p**2 - 8*p - 5. Let c be n(-6). Let k be -2 + 4 + -3 + c. Let u be 4\/15*(-15)\/k. Sort 0, u, 0.3.\nAnswer: u, 0, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0185449968 to two dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4293, 4286, 4279, 4272, 4265, 4258?\nAnswer: 4251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15619149\/545 - 28659. Suppose 11*j + 39 + 44 = 72. Is w less than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -404, -1619, -3644, -6479, -10124?\nAnswer: -14579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*n - 17*n + 10*n as y + c*n and give c.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of 1069*d**8\/336 + d**6\/120 - d**4\/12 - 63*d**3\/2 + 118*d**2 + 1. What is the second derivative of a(o) wrt o?\nAnswer: 21380*o**3 + 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/7))**(-1\/9)*o**(-1\/8)*o**(-21) assuming o is positive.\nAnswer: o**(-10631\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 48 = -3*x, 3*x + c = 5*x - 30. What is the highest common divisor of x and 154?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*r**3 - 13*r**3 + 182*r**2 - 371*r**2 + 193*r**2 - 4*r**4 to the form c*r + v*r**2 + m + k*r**4 + j*r**3 and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/860 and 9\/86.\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - 2*k + 18, 3*k = -3*y + 2*y - 8. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -160 = 645*j - 654*j - 7 for j.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5792 and 6154?\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence al when two letters picked without replacement from {h: 1, a: 1, l: 7, v: 8}?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 - 3\/1 - -16. Suppose 0 = -6*g + 8*g - 220. Suppose 3*a - 5*r = 321, -a + g - 4 = -2*r. What is the highest common factor of b and a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 4*n**4\/3 + 1034080*n**3\/3 + 66834658528*n**2\/3 + 89108741760*n + 89107363008 = 0?\nAnswer: -129258, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (300\/(-9) + 2)\/((-18)\/27). Let l = 103 - x. Is 27 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -337*u - 1. Let y(h) be the third derivative of 0 - 1\/60*h**5 + 0*h**4 - 24*h**2 + h + 0*h**3. Calculate y(l(s)).\nAnswer: -113569*s**2 - 674*s - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*c*y**2 + 120*c*y - 825*y**2 with respect to c.\nAnswer: -8*y**2 + 120*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 72, 143, 214?\n\"Answer: 71*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -41*w + 309. Let n be c(7). Calculate the highest common factor of n and 1430.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -604*c**2 + 19*c + 12 + 0*c**3 - 2*c**3 + 606*c**2 - 12 in the form o*c + h + s*c**2 + r*c**3 and give o.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-4 + (-5*(1 + sqrt(475)) + sqrt(475) + 3)**2 + -3).\nAnswer: 240*sqrt(19) + 22791","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 2 - 17 = 2*u, q + 5*u + 5 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -121414 (base 5) to base 10\nAnswer: -4609","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (47 + -53 - (1 + -12))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 2 v, and 1 u when four letters picked without replacement from {s: 2, v: 10, u: 2}?\nAnswer: 180\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66 + 62 = -16*k for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/19026468 and 151\/20196.\nAnswer: 209291148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 56\/9 and 11\/2263.\nAnswer: 20367","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t - 38 = -11. Suppose -5*s - 381 = w - 0*w, t*s + 243 = 3*w. Let f = s - -101. Is f a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of -7*g**6\/120 + g**3\/6 - 6*g**2. Let b be t(1). Let y = b - -6. Solve y = 3*h - h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (21 + -18 - 5 - 66\/(-39)) + (-1)\/(-13)\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*m**3*s**2 - 495*m**3 + 13*m**2 + 3*m*s**2 - 3*s wrt m.\nAnswer: 12*s**2 - 2970","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3310, 6626, 9942, 13258, 16574, 19890?\n\"Answer: 3316*x - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 46 (base 8) in base 10?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1232 - 4253?\nAnswer: -3021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6574 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange w - 3*w**3 + 11 - 7 - w to s*w**2 + i + u*w**3 + r*w and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1789509?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -25150*h - 425*h**2 - 39*h**3 + 24760*h - 2 + 2 + 9*h**3 + 5*h**4 = 0. Calculate h.\nAnswer: -6, -1, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -505*u - 624 = -557*u for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 154*a**2 - 1 - 48*a**2 + 3.\nAnswer: -202*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 87177816 and 2376.\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*l**3 - 1 + 1)*(1 + 4*l**2 - 1 + (2*l + 2*l + 0 + 2)*(-5 - 20 + 10 - 2*l)).\nAnswer: -24*l**5 - 384*l**4 - 180*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*y**2 + 94 - 7*y + 6*y + y**4 + 4*y - 5*y as w*y**4 + b + u*y**2 + c*y + d*y**3 and give b.\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 4*f + 2. Let m(p) = -5*p - 3. Suppose 0 = -3*t - 3, -c + 2 = -2*t - 3. Determine c*m(v) + 4*b(v).\nAnswer: v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.59872 rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2247 + -2244. Suppose -q - 4 = 2*h, 4 = 5*q + 4*h - 2*h. Solve -5*a = 0, 2*z - q = -o*a + 4*a for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -14\/37 at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1196\/552 - (1 + 5\/(-6)). Let c(x) = x**3 + x**2 - 12*x + 23. Let t be c(z). Let n be 9\/2*(-7 - -9). Is n less than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3116 in 5\/6, -5, -1\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2264*g**2*z - g**2 - 186 wrt z?\nAnswer: -2264*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19 - 16. Suppose -p = h*z + 2*p - 102, -z + 54 = 5*p. List the prime factors of z.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j**2 + 3*j**2 - 12*j**2)*(-j - 3*j + 3*j) + 0*j**3 - 2*j**3 + 0*j**3.\nAnswer: 9*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes before 12:48 PM?\nAnswer: 11:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(2736)*-1 + sqrt(2736) + -5 + sqrt(2736) - (0 + sqrt(2736))*5)**2.\nAnswer: -43801 - 480*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*v**2 - 11*v**3 - 26*v**2 + 5*v**2 + 66*v**2.\nAnswer: -11*v**3 + 31*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 1 + 2*p - 3)*(-6 + 3 - 5) to i + l*p and give i.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-m + m - m + (-2*m - 4 + 4)*(-3 + 0 + 2))*(-12*m - 4*m - 30*m)*(-2 - 5 + 4) as a*m + h*m**2 + t and give h.\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(16\/7)*f**(-7)\/f)\/(f**(-1))**(16\/3) assuming f is positive.\nAnswer: f**(-8\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a = 32592 - 4529. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -89*d**3 + 23*d**2 - 5*d - 6. What is the thousands digit of q(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ne when two letters picked without replacement from {h: 1, e: 2, n: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -3011 (base 5) to base 9\nAnswer: -463","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ou when two letters picked without replacement from {j: 4, u: 2, r: 4, o: 5, z: 1}?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 110 - 217 + 11*y + 107.\nAnswer: 11*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, c: 1, e: 1}. What is prob of sequence cke?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 - m)*(0*m + 0*m - 2*m**2) + (0*m - 4*m - 2*m)*(-4*m**2 - 3 + 6*m**2 + 0) in the form j + o*m**3 + w*m**2 + c*m and give c.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (68\/(-40)*1028)\/((-36)\/90) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1693.045164 rounded to one dp?\nAnswer: -1693","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 147047 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1010512936?\nAnswer: 2, 563, 224359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 176, 134, 60, -52, -208, -414, -676?\n\"Answer: -s**3 - 10*s**2 - 5*s + 192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -250 or -0.2?\nAnswer: -250","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -333 + 476. What is the remainder when c is divided by 32?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of -39*w**6\/10 - 3*w**4\/4 + 497*w**2\/2 - 5*w - 8. What is the derivative of p(z) wrt z?\nAnswer: -468*z**3 - 18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -780*l**3 + 3*l**2 + 4*l - 8. Is d(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-10)\/((-180)\/(-27)))\/((-3)\/2). Suppose 2*y + r = 2, 0*y - 18 = -4*y + 5*r. Which is smaller: c or y?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i**(2\/3)*i)*i)**(-2\/25)*((i\/i**(-2\/7))\/i*i)**(-14))\/(((i*(i\/(i*i**7*i))\/i)\/(i**0\/i*i))\/(i**1)**25) assuming i is positive.\nAnswer: i**(1123\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -24*k**3 + 4*k**2 - 12*k - 16. Let r be q(-1). What is the highest common divisor of r and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4129406 milligrams to kilograms.\nAnswer: 0.0000004129406","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 7*v + 2100 = 0. Let g = v - -231. Let u be 4\/(-18) - 15\/g. What is the closest to 1 in 4, 5\/2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 11 and -315?\nAnswer: 326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -3*i + 411, -2*i + 7*i + 119 = y. Suppose 3*o - o = y. List the prime factors of o.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33410 to the power of 1\/2, to the nearest integer?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35758?\nAnswer: 2, 19, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.5 (b) -25 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 2*r**2 - 43*r. Let u(i) = 12*i. Calculate u(f(o)).\nAnswer: 24*o**2 - 516*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -65 + 554?\nAnswer: 4de","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -3*g. Let w(l) be the third derivative of -l**4\/6 - 3*l**2. Determine d(w(i)).\nAnswer: 12*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12681 is divided by 4219.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 13266?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 139 - 102. What is the first derivative of -100*g**2 + y*g**2 + 19*g**2 + 25 wrt g?\nAnswer: -88*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*i**2 - 254*i**2 - 263*i**2 - 2.\nAnswer: -502*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 2*i**2 - 261*i - 664. Determine p(133).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - 5*x + 12, -4*z + 18 = -5*x + 2. Let i = -0.25503 + 0.17903. Put z, i, -1\/6, 5 in decreasing order.\nAnswer: 5, z, i, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2635 and 220545811.\nAnswer: 527","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 945 and 795.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*x - 78 = 269 + 93 for x.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 AM and 3:28 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-3*(-1 + (4 + sqrt(242) + -2 - (6*(sqrt(242) - (sqrt(242) + 0)) - sqrt(242))))**2.\nAnswer: 660*sqrt(2) + 14535","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 - 6*t**2 + 7*t - 3. Suppose -119 = 4*p + 13*p. Calculate g(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.721126 kilograms to milligrams.\nAnswer: 3721126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -300*p = 1451*p - 262*p - 17868 for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.13 + 3.13. Which is the nearest to t? (a) -3\/4 (b) -1 (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -3*g + 3562, 0 = -5*g + 4*r + 2585 + 3329. Suppose 3*m - 1233 = -3*d + 534, -2*d = -2*m + g. List the prime factors of m.\nAnswer: 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-2*(sqrt(7) + sqrt(7) + -2))**2 + sqrt(14)\/(sqrt(162)*-2).\nAnswer: -577*sqrt(7)\/18 + 133","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 85 - 45. Suppose 4*t - 3*t = 6. Let w = t - -2. Calculate the greatest common divisor of w and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/19)*v**(-1)\/v)\/((v*v**(2\/3))\/v**(-6)) assuming v is positive.\nAnswer: v**(-545\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*r - 0*r, -72 = -2*m + 2*r. Suppose -10 - m = -4*j. What is the greatest common divisor of j and 99?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3\/2 (b) 0.5 (c) 10\/7 (d) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, d: 6, a: 10}. Give prob of sequence dddd.\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j + 9. Let s be q(0). What is the first derivative of 2 - 7 + s*k**2 - 4*k**2 wrt k?\nAnswer: 10*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.08 - 0.12. Let o = 0.2 + -3.2. Let s = -2 - o. Which is the nearest to s? (a) u (b) -1 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2189305937 to the nearest integer?\nAnswer: 1298","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + v + v = 4, 3*w + 2*v = 11. Let q be (-36)\/(-10) + 2\/5. Put -0.5, w, q in decreasing order.\nAnswer: q, w, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6340 divided by 4.\nAnswer: 1585","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o**2\/9 - 777784*o\/9 + 37809246916\/9 = 0.\nAnswer: 97223","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10458793 to the nearest integer?\nAnswer: 3234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -31bd30c + -3?\nAnswer: -31bd311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(1\/8)\/q**(6\/11)*(q*q\/((q*((q\/(q\/q**(-6)))\/q)\/q*q*q)\/q))\/(q\/q**(-2\/5)) assuming q is positive.\nAnswer: q**(2719\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -23*a - 84. Let q(i) = 8*i + 28. What is 6*f(c) + 17*q(c)?\nAnswer: -2*c - 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -b4930 (base 12) to base 9\nAnswer: -400170","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1169657, 1169659, 1169661, 1169663, 1169665?\nAnswer: 1169667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 745729.2 rounded to the nearest 10000?\nAnswer: 750000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.3803566 millennia?\nAnswer: 3.803566","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9.799759 - 9.8. What is a rounded to five dps?\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t - 1566 - 814 = 0. Let c be (-204)\/t - ((-2)\/(-14))\/(-1). Which is bigger: c or 3\/253?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/24 and -95\/264?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 9*r + 134 - 28*r - 44 - 45 - 46. Calculate a(-1).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3222770895 divided by -5\nAnswer: 644554179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -450231 + 124231. What is f rounded to the nearest 10000?\nAnswer: -330000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/172866 and -169\/80934.\nAnswer: 49612542","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 19, 21, 19, 19, 27?\n\"Answer: c**3 - 8*c**2 + 19*c + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -64444.743 rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 5*z - 5*w - 32, -73 = -3*z - 5*w. Calculate the remainder when z is divided by 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 - 9 + 3*f - 2*f.\nAnswer: f - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the third derivative of -f**5\/60 - f**4\/24 + 29*f**2 + 2*f + 4. Let a(c) = -2*c**2 + 2*c - 4. Calculate -a(m) - 3*b(m).\nAnswer: 5*m**2 + m + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(38\/(7068\/31)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1331) + -2)*-6)**2 + -1 + (sqrt(1331)*2)**2 - ((3 + sqrt(1331) + 3)**2 + 2).\nAnswer: -1716*sqrt(11) + 52014","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -146 - -148. Sort -2\/31, 0.2, 1\/4, d in ascending order.\nAnswer: -2\/31, 0.2, 1\/4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10704180 rounded to the nearest one million?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10.8 - -10.922. Let x = -48.878 - g. Let r = x + 53. Which is bigger: r or 0.2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -87\/100 or 75178?\nAnswer: 75178","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7324.2 + 43.1082763.\nAnswer: 7367.3082763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6464 - 3620. Let n be (4\/6)\/(24\/x). Suppose -n*v - 12 = -82*v. Solve -v*k - 5*h = -0*k + 5, 3*k + 4*h = -5 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11659, 42527, 86499, 137461, 189299?\nAnswer: 235899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6 - 102?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 251*d - 7074 - 252 - 14260 = 0 for d.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 249639 - 1086957 = -17*s. What are the prime factors of s?\nAnswer: 2, 3, 8209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -25 + 37. Is m a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -20 - -b?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*p = 31*x - 36*x, 5*p = 5*x + 26 + 39 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 10, 15, 20, 25, 30?\n\"Answer: 5*v + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*q - 31 = -2*z + 8*q, z + 5*q - 33 = 0. Suppose 13*x = z*x + 540. Calculate the remainder when x is divided by 20.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 112 and -0.092?\nAnswer: -10.304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(243) - (-1 + sqrt(243))) + 0 + sqrt(243)*1 + -5 + sqrt(243) + -5) + 3)**2.\nAnswer: -3240*sqrt(3) + 9648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/(-6)*1420\/220 and 13\/27?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, z: 3}. What is prob of sequence ff?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + x + 0*x = 137, -5*x - 63 = 2*b. Suppose -19*r + 308 = -26*r. Is r not equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36595 is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 4537674?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/5411 or 0?\nAnswer: 1\/5411","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - (-7 - -16)) + -7.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1041866902 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 3*a + 2. Let q be f(-2). Is 7 a factor of (4\/q)\/((-1)\/21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/54*3*3. Let g(f) = -f**2 - f + 1. Let d(w) = 5*w - 8 + 4 + 2*w**3 + 4*w**2 + 3*w**2. What is o*d(x) + 5*g(x)?\nAnswer: 2*x**3 + 2*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 2*x + 44, 0 = -i - x - 0*x - 48. Is -52 greater than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 49 and 2295790.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/22 and 99\/1025756?\nAnswer: 11283316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 66420.784 rounded to the nearest 1000?\nAnswer: 66000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002368869709 rounded to four dps?\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 3 b when four letters picked without replacement from dbbbfddb.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + -1 - 1 - (6 - 11).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 118 and -1559?\nAnswer: -183962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/3 - ((-252)\/(-90))\/((-16)\/40).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - 7 - ((-374)\/51 - -2)?\nAnswer: -38\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Convert 195c36 (base 14) to base 13.\nAnswer: 25667a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 25616323 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 130462552.08429 + 1438.91571. Let o = c + -130463990.10000007. Let l = -0.9 + o. Round l to 7 dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sccsecwsqqsseqs. Give prob of picking 2 q and 1 w.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) -51 (c) -2 (d) -0.03 (e) 1 (f) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4035 + 23014. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1161 (base 10) in base 15?\nAnswer: -526","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 309774?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.393949 rounded to two dps?\nAnswer: -0.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - 11*v**2)*(19*v - 11 - 19*v - 2*v**2).\nAnswer: 22*v**4 + 121*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -0.2, -2.3, -2, -2\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25114 (base 11) to base 16.\nAnswer: 8ce9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**3\/7 - 15*a**2\/7 + 24*a\/7 - 5\/7.\nAnswer: -(a - 1)*(a + 5)*(4*a - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of o**5\/15 - o**4\/12 - o**3\/3 + o**2. Let z be g(-3). What is the greatest common divisor of 5 and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8 - -4) + -5 + 23. Suppose b - 953 = -5*g, j*g = 19*g - 5*b - 935. What is the remainder when g is divided by 33?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25202, -50404, -75606, -100808, -126010?\nAnswer: -151212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 139*z - 136*z - 12 = 0. Calculate the lowest common multiple of z and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -23*h - 128. Let y be f(-6). Let r(b) = b - 16. What is r(y)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3 - (-75)\/(-9))*3. Let h be 4\/n - (-574)\/833. Which is the third smallest value? (a) h (b) -5 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 - 18*o**2 + 35*o + 10. Let u be b(-20). Calculate the highest common divisor of u and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6582652223 to the nearest integer?\nAnswer: 1874","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53404260.\nAnswer: 2, 3, 5, 7, 13, 9781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 4*v + 24, 3*k - 20 = -k - 3*v. Let m = 486 - 486. Solve m = -4*y + 2*y - k for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - (16 + (-59 - -99)).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b**4\/2 + 44571*b**3\/2 + 1246131*b**2\/2 + 7339005*b\/2 - 10009575 = 0.\nAnswer: -14829, -15, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 108.5 - 108.5004625. What is u rounded to 5 dps?\nAnswer: -0.00046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 4, -27.35, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -36 divided by -208044\nAnswer: 1\/5779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2128033422, -2128033421, -2128033420, -2128033419, -2128033418?\nAnswer: -2128033417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of -k**4\/24 - k**3\/2 - 4*k**2. Let q be d(3). Does 11 divide (-4)\/q - 400\/(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 229583 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.66 + -0.34. Let z = 16.9 + -16. Let v = -0.1 - z. Which is the nearest to v? (a) -0.3 (b) 2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 412966?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 639.59994953 - 639.6. What is o rounded to 5 decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 8*l**3\/5 + 766922*l**2\/5 + 5559778*l\/5 + 1342012\/5 = 0.\nAnswer: -95858, -7, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 1028 + 1042. Let m(b) = -b**2 - 6*b + 29. Let o be m(t). Let l(j) = 4*j**3 - j**2 - j - 2. Let x be l(2). Which is bigger: x or o?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/11, 6\/5, 1202?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 1, 4, -1\/4, 0.04?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) 3 (c) -2\/63\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -40, -2991.\nAnswer: -2991, -40, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of 0 + 0*k + 1\/24*k**4 - 21*k**2 - 4\/3*k**3. Suppose -1 = -5*z + 3*w + 5, 0 = -2*w - 4. Give d(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 8, w: 1, g: 10}. What is prob of picking 4 p?\nAnswer: 35\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/(k\/(k\/k**(1\/7)*k))*((k\/(k\/k**(8\/13)*k)*k)\/k)\/k assuming k is positive.\nAnswer: k**(43\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1058468?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1117 + -1224 - (-139 - 10)\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of t**6\/40 - t**5\/60 + t**4\/24 + t**3\/6 + 146*t**2 - 2. Give m(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22, -54, -108, -190, -306, -462, -664, -918?\nAnswer: -1230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 131407160.\nAnswer: 2, 5, 59, 55681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 326, 629, 932?\nAnswer: 1235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p**(12\/7)*p*p*p**18*(p*p*(p*p**(2\/31))\/p*p)\/(p\/(p\/(p\/p**2)*p)) assuming p is positive.\nAnswer: p**(6028\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 631, 1707, 3651, 6895, 11871, 19011, 28747, 41511?\nAnswer: 57735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 4*d + 2*d - 431, 5*d = 3*p - 270. Which is smaller: 55 or p?\nAnswer: 55","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1610\/84)\/(70\/21)*-4?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) + 4*sqrt(16)\/sqrt(8) + sqrt(2) + (-2 + sqrt(2) + (sqrt(2) - sqrt(6)\/sqrt(3)) + sqrt(2))**2.\nAnswer: -2*sqrt(2) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 - 4. Let c(q) = q**3 - 1. Determine -12*c(a) + 3*v(a).\nAnswer: -15*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -396 divided by 132.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.2 less than 15.44?\nAnswer: -1.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - (-10 + 31 + -3 + -12).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -102.7 - -103. Let o = 3379 - 3378.5. Which is the nearest to -6\/7? (a) o (b) s (c) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -25 + 29. Suppose 1 = -z + x. Is 3 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -681, -1363, -2045, -2727, -3409?\nAnswer: -4091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13129?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24\/11*w - 70\/11 - 2\/11*w**2 = 0. Calculate w.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/13, 2, 0.4, -1.2?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 13968 = -3*j, -11 = -j - 7. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 12 = -4*c. Let q(o) = -6*o + 1. Let a(n) = -5*n + 1. Calculate c*a(x) - 3*q(x).\nAnswer: -2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -19226.\nAnswer: -38452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of -v**9\/52920 - v**8\/23520 - v**4\/3 + 4*v. Let i(k) be the third derivative of d(k). Factor i(f).\nAnswer: -2*f**3*(f + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + 44321404?\nAnswer: 44321411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/4, 1\/2, -1\/5, -1\/250, 2\/19, 1, 2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 15 + 1 + 8 + 2*a + 12. Let o be p(-16). Let u = 266 - 263. Solve 5*h + o*g = -5, 2*h + g + u*g = -2 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2540 divided by -508.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 1 + 9 + 0 + 37275*k**3.\nAnswer: 37275*k**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1057 is divided by 518?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245)*-2)**2 + (-1 + sqrt(180) - sqrt(5)) + 0.\nAnswer: 5*sqrt(5) + 979","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 - 37*i - 36. Let m be l(38). Let d be m\/1 - (35 - 36). Put 1, -21, d in decreasing order.\nAnswer: d, 1, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3405*c - 81394 + 2565 = 57371 for c.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -86, -97, -108, -119, -130, -141?\n\"Answer: -11*r - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 155*n + 482*n + 2038*n + 955*n - 482*n.\nAnswer: 3148*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 3*s**2. Let u(y) = -5*y. Let o(z) = -11*z + 2589 - 2589. Let k = 24 - 17. Let m(r) = k*u(r) - 3*o(r). Give m(x(b)).\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 595, -4728 in decreasing order.\nAnswer: 595, -3, -4728","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -84.10994 rounded to two dps?\nAnswer: -84.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -21 + 111. Let y be 6\/j - (-130)\/(-6). Is (3 + y\/8)*2084 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -465998384*k**2*t + k*t + 112*k - 5422 wrt k?\nAnswer: -931996768*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/24 and -107\/44?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 47940+309\nAnswer: 48249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5\/3*(6 - 91\/14). Which is the smallest value? (a) -30 (b) o (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 11:04 AM?\nAnswer: 4:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -4047 - -3904 - (-172 - 1)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 + 4*p - 1. Let d = 24 + 5. Suppose 2*a = -3*y + d, 7*y - a - 70 = 2*y. Let o = -9 + y. Calculate s(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/10*(6 + (5 - 6)). Suppose -w + a*o - 5*o + 81 = 0, 0 = 2*w + 5*o - 161. Is w a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -169.1092 rounded to the nearest 10?\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 444 - -1466312.\nAnswer: 1466756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 to the power of 1\/3, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21749*b**5*p - 65*b**3*p + b**2*p + 2*b**2 - 41*b*p + 2*p + 3335 wrt b.\nAnswer: -1304940*b**2*p - 390*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 196.6954 decades to months.\nAnswer: 23603.448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, -3, 10, 712, -2, 9 in decreasing order.\nAnswer: 712, 10, 9, 3, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -28438*g - 91012.\nAnswer: -28438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(30) - (sqrt(3000) - -2*sqrt(3000)))*-2)\/(6*(sqrt(810)*-3 - sqrt(810)) - sqrt(810)).\nAnswer: -58*sqrt(3)\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (-3 - (-17 + 0 + -2 + 4))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3066015 divided by 69\nAnswer: 44435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jgeoo. Give prob of sequence egj.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of 239*j**4\/12 + 124*j**3\/3 - 2*j + 49. Find the second derivative of v(h) wrt h.\nAnswer: 478","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 82 + -78. Let b = 4 - 11. What is the third biggest value in 0.1, z, b, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from tpttttpnentnn.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -34 + -24?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5769, 5796, 5835, 5880, 5925?\nAnswer: 5964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssqqvv. Give prob of picking 1 q, 1 s, and 1 v.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**4\/5 + 348*o**3 + 173646*o**2\/5 - 48032352*o - 38101249152\/5.\nAnswer: -2*(o - 648)**2*(o + 213)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 + 25. Let g = o - 9. Solve 2*r - 4 = g for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 1:13 AM?\nAnswer: 10:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 78\/1733 > -2\/101?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/7 (b) 12052 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 209 = 4*z + 85. Let a(j) = 4*j - 8. Calculate the remainder when z is divided by a(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 + 5*l**2 + 2*l + 1. Let j(u) = 3 + 0*u**3 - 3*u**2 - 8*u + u**3 + 6*u. Let v be j(3). List the prime factors of x(v).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.0312 and -52293578?\nAnswer: 52293577.9688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 726607020 to the nearest one million.\nAnswer: 727000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 296520221*p**3 - 429421509*p**2?\nAnswer: 1779121326","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 34299 and 5328?\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 382500 and -9.\nAnswer: -3442500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -11101101001001101111110 (base 2) in base 13?\nAnswer: -17c1139","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 693?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2838 to the power of 1\/2, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = n - 54. Suppose -q = q - n. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.5455682 and -5699?\nAnswer: 5700.5455682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 856, 1666, 2380, 2950, 3328, 3466, 3316?\n\"Answer: -8*p**3 + 866*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1936 = 73*k - 77*k. Suppose -182 + k = c. What is the hundreds digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 + 35\/4. Let o = -16 + 16. Determine i so that -d*i**4 + 3\/2*i**3 - 3\/4*i**2 + o + 0*i = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 1.5, 0.5, 823, 11.\nAnswer: 0.5, 2\/3, 1.5, 11, 823","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13\/2 + 165\/26. Let q = -4 + 10. Let x = q - 6. Which is greater: x or i?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -55.3731 - -55.4. Let l = 0.3188 - n. Let c = l - 0.29. What is c rounded to three decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 29\/2*(-2 - -12). Let y = j + -54. Let h = 89 - y. Is -0.22 greater than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 388247646 a multiple of 983?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19\/40 or 1077\/2?\nAnswer: -19\/40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.18799439 and -82890.\nAnswer: -82890.18799439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -47, 15795, -2.\nAnswer: -47, -3, -2, 15795","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*s - 18. Suppose -o + 3 = 1. Suppose -2*q + 23 = 5*l - 15, l = 2*q - o. Calculate the remainder when s is divided by l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -41 + 46. Let t(u) = -9*u**2 + 5*u. Let y(z) = 14*z**2 - 8*z. Determine d*y(x) + 8*t(x).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (6\/(-1))\/(6\/(-32)) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87553*j - 160021*j + 122764*j.\nAnswer: 50296*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*w - 7*w - 73*w**3 + 31*w**3.\nAnswer: -42*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6121 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(30)\/sqrt(160) + -3*(sqrt(3) + sqrt(3) + 0) + (sqrt(12)\/sqrt(4)*-2)**2 + 1).\nAnswer: -23*sqrt(3)\/4 + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (23463\/(-198))\/(-237)*(-80)\/2\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62634 = -263*l + 296*l. What is the remainder when l is divided by 76?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of q**6\/300 + q**5\/150 - q**4\/60 - q**3\/15 - 5*q**2. Factor a(k).\nAnswer: 2*(k - 1)*(k + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + z - 4693 = 0, 3*n - 5*z - 1363 - 1464 = 0. Calculate the remainder when n is divided by 309.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - 5. Let w = -11 + 5. Let g be 15\/w*12\/(-10). Solve g*i - 3*m = d*m - 20, i - 5*m + 10 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17622*a**2*b - 2*a**2*d - 731*a*b - 6843*a*d**2 - 41*b*d - 4*b wrt d.\nAnswer: -2*a**2 - 13686*a*d - 41*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:13 PM and 2:35 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 123 (c) -3.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*j = -3*j + 36 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 179 - 56. Let j = x - 64. Suppose 5*g - 310 = -3*i + 5*i, g - i = j. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11.82 + -18.82. Put 9, 0, q in increasing order.\nAnswer: q, 0, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Work out 8 * -2514.6.\nAnswer: -20116.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 t when four letters picked without replacement from mtyytttty.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14\/13, 31, -2\/11 in ascending order.\nAnswer: -14\/13, -2\/11, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26 - -12. What are the prime factors of y?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 39644 and 470030?\nAnswer: 846994060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of h**6\/6 + 5*h**4\/12 - h - 3. Let y(b) be the first derivative of q(b). Find the third derivative of y(g) wrt g.\nAnswer: 120*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nngg. Give prob of sequence ng.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2388690 divided by 2949.\nAnswer: 810","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.5248 - 0.0248. What is the nearest to -0.53 in h, 0.1, 5, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 a factor of 6834?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t - 5. Let g be b(9). Suppose -g*x + 81 = -47. Let r be ((-8)\/(-3))\/(4\/6). Solve -3*q + 4*k = 21, -3*k + x = -r*q + 11 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106 is divided by 83?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 - 7*t + 3. Let m be u(-7). Let j(k) = -k**3 + 3*k**2 + 3*k - 3. Calculate j(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 274 a factor of 14060145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*(344\/(-4) - 1). Let l = -39 - p. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -84 - 358. Let k = v + -138. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -6*b + 30. Let y be b*(-1 - (-3)\/2). Let c(u) = 7*u - 40. Let m be c(6). Solve -5*h - y*f - 35 = 0, -2*h + m*f + 0 + 2 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/((-2)\/(6\/9)). Let g be (1 - 2)*-1 + y. Let b(m) = -2*m**2. Determine b(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-25)*180\/(-27))\/(-14 + (-48336)\/(-3445)).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-1110)\/150 - (-4)\/10\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.2 + 0.265. Let s = f - 0.015. Round s to 1 decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of -13*v**5\/60 + 3*v**2. Let x(h) = h**2. What is f(x(a))?\nAnswer: -13*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9537*d**2 - 9731*d**2 - 1 - 1.\nAnswer: -19268*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.7 + 4.3. Let l = -4.9936 + j. Let v = -0.01 + l. What is v rounded to 3 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of -7*s**6\/30 - 29*s**5\/60 + 3*s**4\/4 - 2*s**3\/3 - 2*s**2 + 678*s. What is the second derivative of q(d) wrt d?\nAnswer: -168*d - 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1007799 + -5?\nAnswer: 1007794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/(w*w\/w**(2\/11))))\/w**5)\/((w**(-1\/8)*w)\/w*w**(2\/15)*w)*(w**(-3\/7)\/w**(2\/7))\/(w\/(w**1*w))**46 assuming w is positive.\nAnswer: w**(379723\/9240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1160*j + 542*j + 14701*j**2 - 14704*j**2 to the form l*j**2 + z*j + k and give z.\nAnswer: 1702","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 107, 418, 929, 1640, 2551, 3662?\n\"Answer: 100*l**2 + 11*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes before 1:31 PM?\nAnswer: 8:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-6) - (-957)\/9. Suppose 5*p = 74 + o. Suppose -3*u + 5*u - p = 0. Is 18 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 6174.\nAnswer: 6174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/3)\/(((-5)\/450)\/(30\/(2430\/(-27))))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 30477546157 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15 - 11)*(1 + 2).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4 - (-3)\/(9\/(-6)). Let z = -3\/508 + 8149\/3556. Find f, given that -6\/7*f**4 + 0 - o*f**2 + 4\/7*f + z*f**3 = 0.\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 147141*w**3 - 294237*w**3 + 147112*w**3.\nAnswer: 16*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 219366991.\nAnswer: 29, 7564379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -2*z**3 + 5*z**2 + 2*z + 2. Let c be f(4). Let p = c - -66. Suppose -4*x = 388 + p. Round x to the nearest 10.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.681441l in millilitres?\nAnswer: 2681.441","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.6217642 centuries?\nAnswer: 6.217642","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2387*m**3 + 0*m**2 - 3812*m + 0*m**2 - 4399*m**3 wrt m?\nAnswer: -12072*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 479*f = 1724*f + 52290 for f.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of 0*f - 130 - 2\/15*f**3 + 9\/5*f**2. Factor m(h).\nAnswer: -2*h*(h - 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 96 and 49908?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 12*d**2 - 7*d - 5. Let n(p) = -11*p**2 + 7*p + 4. Let h(u) = -4*f(u) - 6*n(u). Factor h(s).\nAnswer: 2*(s - 1)*(9*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(1*-6)*(-306)\/(-255)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 63 + -54. Let z(c) = c + 4. What is the smallest common multiple of u and z(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 426.07 + -1.57. Let l = 424 - v. Put -4, l, -2\/7, -0.7 in ascending order.\nAnswer: -4, -0.7, l, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/645 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -61 - -42. Let k = w + 20. What is the nearest to k in 0, 3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -192*u - 114*u = 70*u - 1504 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - -2 - (5 + 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h + 3 - 3)*(1 + 2 + 4)*(h - 3*h - 5*h) + (-5*h + 2*h + 5*h)*(3*h - 5*h + h).\nAnswer: 47*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -12, g - 3*g + 22 = -3*c. Let w be (-270)\/(-50) + 4\/c. Solve -2*i = 4*a - 4 + 2, -w*i = -4*a - 33 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times 7?\nAnswer: 3.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 - 164. Let o = 66 + u. Let k = o - -86.081. Round k to two decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 5*t - 21 = 0, d - 4*t = 6*d - 24. Let o = d - -1. Solve r + 5*s - 5 = 0, s = -o*r + 9 + 16 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/13 - 62\/(-65). Let q = -0.26 + -11.74. Let r = -9 - q. What is the nearest to -2\/3 in r, 1, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 32*t**2. Let l(r) = 5*r**2. Calculate l(j(p)).\nAnswer: 5120*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 3:08 AM?\nAnswer: 3:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 12) to base 10\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12766 is divided by 172?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -61, -2, -17, -38 in decreasing order.\nAnswer: -2, -17, -38, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*k**2\/3 + 5062725*k - 7594085\/3.\nAnswer: -5*(k - 1518817)*(2*k - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - 3*c)*(6 - 2 - 12*c**3 + 10*c**3) + (-3*c**3 - 7*c**3 + 0*c**3)*(1 - 1 + c).\nAnswer: -4*c**4 - 12*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -41, 4 in descending order.\nAnswer: 4, 1, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r**(-1\/2)*r**(-1))\/(r\/(r\/r**2)*r)**9 assuming r is positive.\nAnswer: r**(-53\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 179 is divided by 45?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -58 - 6. Let s = 126 - 61. Let z = n + s. What is the highest common divisor of z and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -3*a + 1786, -a - 8*l = -7*l - 596. Let m = a + -112. What is the tens digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 - 8*p**2 + 7*p + 2. Let o be b(7). Let v(m) = 10*m**3 + 3*m**2 + 3*m - 2. Is v(o) a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2, -7, -12, -17, -22, -27?\n\"Answer: -5*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0\/1)\/(-2*1). Let v(n) = -3 + 0 + t + n. Let q(j) = -j + 5. Let f be q(3). Let k(x) = -2. Calculate f*v(l) - 3*k(l).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 4*n - 197892 = 33969, -46361 = -a + 2*n. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-25))**(1\/59)*((p\/p**(-1))\/p)\/(p**(-1\/5)\/p))**(10\/3) assuming p is positive.\nAnswer: p**(1048\/177)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 1715*w + 4. Let k(o) = o**2. Calculate v(k(s)).\nAnswer: 1715*s**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.1 plus -4017?\nAnswer: -4035.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 2*t = 17, 3*v - 4*t = -12 + 5 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.41537506 to 3 dps.\nAnswer: -9.415","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 0. Let m(d) = 3*d**2 + 4*d**2 + x*d**2. Let c(n) = 4*n + 18. Let u(a) = a + 4. Let v(f) = -2*c(f) + 9*u(f). Give m(v(i)).\nAnswer: 7*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.01505 + -2.91795. Let k = a + 0.033. Let s = 3 + k. Is s at most as big as 2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 23*f**3 - 5*f + 20. Let s(v) = 11*v**3 - 2*v + 10. Let z(n) = -2*m(n) + 5*s(n). Find the first derivative of z(a) wrt a.\nAnswer: 27*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 5470*o + 1092. Let f(n) = 608*n + 126. Let l(t) = -26*f(t) + 3*q(t). Let s(i) = -26*i. Determine s(l(a)).\nAnswer: -15652*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.9056 and -0.1?\nAnswer: 0.09056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a litre in millilitres?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p**5 - 6208*p**4 - 1429716*p**3 - 1411112*p**2 + 2847040*p = 0 for p.\nAnswer: -1271, -280, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-22)\/(-3))\/((-6)\/(-27)).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 13*j = 53, -171*k + 2*j = -174*k - 19 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pgj when three letters picked without replacement from {j: 3, g: 3, p: 2}?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 591*d**2 + 2*d**3 - 1223*d**2 + 351*d**2 in the form b*d**3 + f*d**2 + p*d + s and give f.\nAnswer: -281","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-20))\/1*6\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of d**6\/720 - d**5\/20 + 5*d**4\/12 - d**2 + 2*d - 38. Let h(g) be the third derivative of n(g). Calculate h(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f\/f**(-2\/7))*f)**(-19)\/(f\/(f\/(f*f*f**(-2\/3)*f*f*f*f*f)))**(1\/12))**24)**(-20) assuming f is positive.\nAnswer: f**(142120\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 PM and 12:08 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 - 6*g**2 - g - 2. Determine p(-3).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 1970395.2 months?\nAnswer: 1641.996","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23 - -29.5. Let k = i - 7.24. Round k to one dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 38 - 20. Suppose -2 = -4*k - m. Which is smaller: -5 or k?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1 - 270*z + 1 + 46*z**5 - 157*z**5 + 51*z wrt z.\nAnswer: -2220*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**5 + 0*x**5 - x**5)*(-1 - 2 + 5) - x + 0*x**5 + x**5 - 3*x**5.\nAnswer: -4*x**5 - x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*x - 5*x - x)*((4*x - x - 2*x)*(2 - 1 + 7) + (5*x + 0*x - 4*x)*(1 + 1 - 3)).\nAnswer: -7*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1118713 (base 9) in base 11?\nAnswer: 382432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2 - o + 9. Let d(k) = -k**2 + 2*k - 9. Let t(b) = 4*d(b) + 5*y(b). Let x(z) = -z**2 + 9*z - 6. Let g be x(9). Does 10 divide t(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 divided by 134\nAnswer: 5\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20606956 to the nearest integer?\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 3*j + 3. Suppose r + 3*r = 64. Suppose 2*m - 3 = -1, -4*o + r = 4*m. What is b(o)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 78154885 and 95.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*a*b**2 - 13638*a*b*d**3 - 9*a*d**3 + 168*a*d**2 - 2*b**2*d + 51*d**3 - 1 wrt b?\nAnswer: -8*a*b - 13638*a*d**3 - 4*b*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 5524.62\nAnswer: -5521.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -800*c**5 + 64*c**4 - 478*c + 64. Let o(a) = 2*a**5 + 2*a**4 - a + 2. Let u(n) = 96*o(n) - 3*z(n). What is the second derivative of u(j) wrt j?\nAnswer: 51840*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14997, 12629, 10259, 7887, 5513?\nAnswer: 3137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*q - 37*q = -86*q + 170. Solve 9 = -4*a - 5*l, 3*a - 126*l + 121*l - q = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -187436772 divided by -20826308.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 177 a factor of 131527?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 464569515 and 15.\nAnswer: 464569515","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -163 + 4*w**3 + 86 + 77.\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.46 - 1.33. Which is the closest to 2\/7? (a) -0.3 (b) z (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 15405?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -180*a**4 + 67*a**3 + 5*a**2 + 1056992*a wrt a.\nAnswer: -2160*a**2 + 402*a + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19 + 16. Is 13 a factor of -4 + f\/9*-69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 7*n**2 - 8. Let b(m) = -m**3 + 21*m**2 - 37*m - 15. Let y be b(19). Calculate the remainder when h(y) is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 3*d**3 - 212*d**2 + 5*d - 5. Let l(h) = -3*h**3 + 219*h**2 - 6*h + 6. Let u(o) = -5*l(o) - 6*n(o). Determine g so that u(g) = 0.\nAnswer: 0, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 18\/(-4)*(-4)\/3. Let g(o) = o**3 + 18*o**2 + 40*o - 51. Let p be g(-15). Suppose -5*a + 4*z + 204 = 0, -5*z = 5*a - k*a + p. Does 22 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -368 - -367. Suppose 4*x - 141 - 91 = 0. Let t = k + x. Does 4 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8.59 - -8.09. Sort -35, n, 5 in ascending order.\nAnswer: -35, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 400848148 to the nearest integer?\nAnswer: 737","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -55613 (base 15) in base 10?\nAnswer: -271368","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 + 9*y + 4. Let c be o(-9). Differentiate 3*n**3 - 5 + c - n**3 wrt n.\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25652000 rounded to the nearest 100000?\nAnswer: 25700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -77 - -150. Let b = -67 + v. What is the greatest common factor of b and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3956 and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**4 - 2*y**3 + 4*y**2.\nAnswer: -2*y**2*(y - 1)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 122659530 divided by 11389.\nAnswer: 10770","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -780 + -c?\nAnswer: -78c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4 and 68.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -1183768.\nAnswer: 1\/1183768","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1515 + 1511. Suppose -5*n = 3*h + 4, 0*h + 3*h + 2*n = 2. Let s be h\/4 + 10\/(-36). Which is the fourth biggest value? (a) -5 (b) -0.4 (c) s (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 7*n**2 + 10*n**2 + n**2.\nAnswer: 18*n**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**0)**(-6)*(y*y*(y*(y\/(y\/(y*y**(-2\/7))))\/y)\/y)**(-1\/56) assuming y is positive.\nAnswer: y**(-3\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2a6 (base 15) in base 9?\nAnswer: -743","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 468, 505, 620, 855, 1252, 1853?\nAnswer: 2700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 2 + 1)*(-2*p + 4*p - 3*p) - 3 - 2*p + 3 + 3*p - 5*p + p + p + p - 4122 - 3588 + 0*p - 4*p as z*p + w and give w.\nAnswer: -7710","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -94 - -94. Suppose d*i - 2*i = -628. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 - 23*x - 22. Let k be s(-22). Solve 10 = 4*w - 2*g, w - 4*w + g + 10 = k for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -13 (b) 7 (c) 5 (d) 0.06 (e) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5217904?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6694648595?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(0 - 1)*(-813)\/542.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - -2. Suppose 66 = -d + c*d. Let j = d - 10. Is 7 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3367*d = 3368*d - 5 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 16320.8 + -0.13?\nAnswer: 16320.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j + 3. Let o be u(-7). Let t(k) be the second derivative of 5*k**3\/6 - k**2 - 5168*k. Let y(q) = -6*q + 2. Calculate o*y(l) - 5*t(l).\nAnswer: -l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 3*u = -3*h, 5*h - 4*u = -1. Suppose -q = -h*q + 100. Let n(a) = 17*a - 344. Calculate the remainder when q is divided by n(21).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w + 6. Suppose 18 = -n + 4. Let s be a(n). Solve -4*r = r + s for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 0 = 2. Suppose -3*p - 7 = -2*k, -3*p - 2*p - 1 = 2*k. Solve m*b - k = -6 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 111 + -67. Let 48*w + x*w**2 + 16 + 6*w**3 + 2*w**3 + 4*w**3 = 0. Calculate w.\nAnswer: -2, -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*i - 3340 = 434. What is the hundreds digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 261109 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4626314495?\nAnswer: 5, 11, 1153, 72953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*n - z - 6, 0*n - 3*n = 4*z - 10 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y + 2*y - 7*y. Let t(o) = o**2 + o + 1. Let m(g) = -g - 4. Let q be m(-5). Let j(p) = p + 1. Let u(h) = q*j(h) - t(h). Determine u(k(s)).\nAnswer: -9*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -55*k + 12. Let n(c) = -54*c + 11. Let w(z) = 3*n(z) - 2*o(z). Find the first derivative of w(q) wrt q.\nAnswer: -52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.034 + -0.738. Let j = 0.052 - d. Let x = j - -0.024. What is x rounded to 1 dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, d: 5, s: 3}. Give prob of sequence ddss.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 44 + -42. What is the smallest common multiple of 45 and y?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b**5 + 6*b**3 - 3*b = 0. What is b?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express o**3 - 21*o - 2 + 12*o - 4*o**3 in the form y*o**2 + s*o + h*o**3 + q and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + -7.2. Let h = -3.33534 - -0.33534. What is the nearest to 4 in h, -2\/5, q, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-5\/9)\/((p\/(p**(-2\/3)\/p))\/p) assuming p is positive.\nAnswer: p**(-20\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 2*r**2\/5 - 152890976*r\/5 + 2921956317779072\/5 = 0.\nAnswer: 38222744","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -12*l**2 + 3*l - 3. Let u(g) = 23*g**2 - 6*g + 5. Let p(t) = 5*n(t) + 3*u(t). Let d = 4 - 2. Does 10 divide p(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 - 8*x**2 + 34*x + 11. Suppose 2*u + 20 = -2*h, -3*u = 2*h - 1 + 20. Let b be i(h). Solve -2*a + 2 - 12 = b for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(26)\/((sqrt(2) + sqrt(4)\/sqrt(2))*-3) - ((1 + sqrt(1872))*-6 - (-5*(sqrt(1872) + 0))**2).\nAnswer: 431*sqrt(13)\/6 + 46810","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -2*t**3 + 3*t**2 + 15*t - 31. Determine y(3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 159743366, 319486733, 479230100, 638973467?\n\"Answer: 159743367*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 3*x + 2*k + 16, -2*x - 20 = 5*k. Suppose -4*d = -x*d + 9600000. What is d rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + 5 + 1. Let i = l - -20. What are the prime factors of i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18 + 44. Suppose 2*x - r = x. Let p = x + -23. What is the greatest common divisor of p and 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 14) in base 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 PM and 3:49 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*c + 45*c = -744. Let l(f) = 28*f**2 - 56*f + 12. Let j(b) = 2*b**2 - b + 1. Let u(x) = c*j(x) + l(x). Factor u(i).\nAnswer: -4*(i + 1)*(5*i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/2, 29, 123?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 929972.3ug to tonnes.\nAnswer: 0.0000009299723","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2344569175?\nAnswer: 5, 13, 7214059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.17, 7, 0.3, -2\/7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 14210*d. Let v(i) = -37873*i**2. What is z(v(p))?\nAnswer: -538175330*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22 - 6. Let l = 13 - n. Let r(b) = -b**2 - 4*b + 1. Let s be r(l). Solve -3*i - 32 = 4*a, i - 2*i + s*a = -16 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -74*d + 444. Let f be n(6). Suppose 0 = 3*s - m - 9, -3*m + 3 = 2*s - s. Find u such that f + 1\/3*u**s + 1\/3*u + 2\/3*u**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mpmp when four letters picked without replacement from {p: 3, m: 7}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 442037*i**2 - 879382*i**2 + 440384*i**2.\nAnswer: 3039*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes before 9:29 AM?\nAnswer: 7:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 17162600 rounded to the nearest 1000000?\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -37, -174, -405, -730?\n\"Answer: -47*s**2 + 4*s + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23198*h + 64029*h + 17063*h.\nAnswer: 104290*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 + 3*y**2 + y - 2. Determine c(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1041 is divided by 995.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 0 - 4)*(-t - 2*t + 4*t)*(-1 + 3 - 1) + (1 + 2*t - 1)*(-3 - 8 + 4) as g*t + o and give g.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 24 = -12. Suppose -8 = b - 5*x - 4, -3*x - 52 = -c*b. Solve j = 5*j + b for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000001093 rounded to seven decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 27 - 50. Let r = -18 - a. Let d(m) = -3*m**3 - 6*m**2 + 5*m + 2. Let s(p) = 2*p**3 + 6*p**2 - 5*p - 3. Let z(q) = -3*d(q) - 4*s(q). Calculate z(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*q**2 - 2*q**2 - 2*q**2 + q**2 + q**2 - q**2 + (-2*q - 2 + 2)*(3*q - 3*q + 2*q) - q**2 + 4 + 17 + 3 - 2*q to the form j + z*q + t*q**2 and give t.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2880 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 n when two letters picked without replacement from {b: 1, n: 1, e: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((390\/990)\/13)\/((-4)\/6).\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.2 - -0.2. What is the closest to 0.1 in i, 4, -6\/5?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 52273?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.17 and -3044?\nAnswer: 517.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13499 - 13502. Let q = -8127\/55 + 532\/11. Let f = 100 + q. Which is the fourth smallest value? (a) -0.5 (b) f (c) t (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*c = 23*c + 14 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-82)\/(-10))\/(3505\/2804*4\/50).\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21 - 16. Solve 3*s - t*d + 1 = 6, -d - 1 = -s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*z**3 + 8*z**3 - 2*z**3 + (2*z**2 + 0*z**2 - 21*z**2)*(z + 2*z + 0*z).\nAnswer: -48*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 44377.69l?\nAnswer: 44377690","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 - ((-8238)\/(-8) - (-7)\/28). Let m = -10 - f. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1297 + -60961\/47. Let x = -33\/329 + q. Let u = -7 - -5. Which is the nearest to -1\/2? (a) -8 (b) x (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 - (-1 + 2)) + -1. Suppose -3 + l = -f. Let p be (4\/(-42))\/((-2)\/f). Is p >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 27.97 in -110, -0.057, -1, -0.1?\nAnswer: -0.057","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -4350?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 9024*y - 4900018. What is b(543)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10.34 - -10.54. Which is the fourth smallest value? (a) -3 (b) l (c) 1\/3 (d) 156\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 1482888.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(2\/5))**13)**(-35)*(w*w**(1\/5)*w**(-2\/7))**(-26) assuming w is positive.\nAnswer: w**(-7202\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 738 - 18 = -20*a. What is the remainder when 159 is divided by -1 + a*(-2)\/3?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 + 59*b - 1560. Let q be a(20). Calculate the greatest common divisor of 510 and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -366 + 906. Let b = a - 183. What are the prime factors of b?\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5898, 5918, 5952, 6000, 6062, 6138, 6228?\nAnswer: 6332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 148*p = -143*p - 10, -l - 5 = -4*p. Sort -1, 5, 7, l in decreasing order.\nAnswer: 7, 5, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 6 - (-13 - -7 - -6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2888712, 2888710, 2888708, 2888706, 2888704?\n\"Answer: -2*r + 2888714","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 = 22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -270744 divided by -703\nAnswer: 270744\/703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -150\/109 - -17231\/7848. Let m = -110566 - -119521854\/1081. Let z = m - 42223\/8648. Calculate the common denominator of p and z.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*m**3 - 16992*m**2 - 4*m + 16992 = 0. What is m?\nAnswer: -1, 1, 4248","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 82 or 80?\nAnswer: 80","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 740558627 to the nearest integer?\nAnswer: 27213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 17486 = -5*q - 79745, 0 = -q + 2*z - 12447. Let o = -6353 - q. What is o rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -77*g - 5. Suppose -11*p + 132 = -5*p. Let d be 6\/33 + (-48)\/p. Is h(d) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -55a0 (base 11) to base 3.\nAnswer: -101002222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -5*l + 50*l + 5 - 46*l. Let s(y) = 1. Give o(u) - 6*s(u).\nAnswer: -u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 996633437 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*m + 2*m. Is (413 + 1 + -5)\/m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -2*l**4 - 28*l**3 + 1578*l**2 - 4508*l + 2960 = 0.\nAnswer: -37, 1, 2, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = -v - 6 + 2, 0 = -2*x - 5*v - 2 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 607 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of -21*z**2 + 6*z**3 - 24 + 3*z**2 + 18*z**2. Let r(l) = 3*l**2 + l**2 - 5*l**2. Calculate r(i(k)).\nAnswer: -324*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*j = 55*j - 250. Let s = 70 - j. Calculate the highest common divisor of 15 and s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 2*m - 14 = 0, 5*m - 3 = 2. Suppose 7 = -b*s + 4*s - 2*c, 2*s + 5*c - 14 = 0. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 PM and 2:35 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 540, 757, 974, 1191, 1408, 1625?\nAnswer: 1842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 55 + -50. Suppose -4*q = 3*b - 26, -6 = -h*b + q - 1. Let r be (-102)\/(-165) - (-2)\/10. Does r = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 16*m**3 - m**2 - 2*m - 1. Give c(-1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + (5 - (1 - -4 - 7))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 99420713?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2761952 is divided by 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.13 and 624.\nAnswer: -81.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1897094 - -4302217. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 - 27 = 4*h. Suppose -4*i - 5*c + 15 = -10, -3*i - 2*c + 10 = 0. Solve 0 = h*o - i*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2*m**2 - 33*m + 273. Let q be r(19). Calculate the highest common divisor of 138 and q.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-67015)\/(-3093))\/((-20)\/(-24))\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/7 - 10628\/(-28) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 - 1. Let b = s + 10. Which is smaller: b or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 158 (base 11) to base 13.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 130436, 260998, 391560, 522122?\n\"Answer: 130562*o - 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/22 and -15\/1432.\nAnswer: 15752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -4, -836, 251 in descending order.\nAnswer: 251, 7, -4, -836","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide (1 + 8)\/(11\/143)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1576516?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, -8, 2 in descending order.\nAnswer: 5, 2, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k = 2*k + 15. Let d be (-46)\/(-3) - k\/9. Suppose -5*m + 5 + d = 0. Is 4 at least m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 - 21*b**2 - 51*b + 117. Suppose 92 = -41*a + 45*a. Let y be w(a). Let u = -3 - -3. Put y, -5, u, -1 in descending order.\nAnswer: y, u, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 (base 11) in base 7?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 485 is divided by 112?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 26*p - 4. Let q(f) = 6*f - 3. Let l(d) = o(d) - 4*q(d). Let x be (-3 + 2\/2)*3. Calculate l(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4419 <= -4418?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 3*p + 174. Let z be n(-54). Solve -20*k + 8*k = -z for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 47 - 48.3. Let t = 43.9 - 44. Which is the nearest to j? (a) t (b) 5 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -172494 divided by 21\nAnswer: -8214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 7 = -1. Let x(t) = -t - 3. Let u be x(g). Let f be (-1)\/((-3)\/(-15)*1). Sort f, u, 4 in decreasing order.\nAnswer: 4, u, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = a - 2*g + 5, -3*a + g - 20 = -5 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 622 + -622. Solve k = 2*z - 3*h + 3 + 6, 9 = 3*h for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 180\/80*(-2)\/9.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000003589 rounded to 7 decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 7*l - 12*l - 4*z - 3*z = -2*l + 100, -4*z = 0 for l.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**2. Let q(p) = -22401*p**2. Determine q(z(x)).\nAnswer: -22401*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 2. Let h(s) = 1. Let a(o) = -3*h(o) + 2*q(o). Let m(i) = -3*i - 108 + 5*i + 111 - 5*i**3. Let y(u) = -2*a(u) + m(u). What is y(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -261 + 260.8. Suppose 4*v + o - 19 = 0, o + 2 = v + 4*o. Which is the nearest to m? (a) 1\/2 (b) -5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 746, 1803, 3162, 4823, 6786, 9051?\n\"Answer: 151*r**2 + 604*r - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8 and 93098?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - 0) + 5 + -2 + 0. Let d(l) = -8*l - 434 + 434 + 8*l**2 + g*l**3. Let o(v) = v**3 + v**2 - v. What is d(b) - 8*o(b)?\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7113?\nAnswer: 3, 2371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -233*j + 465*j - 229*j - 501 as l + s*j and give l.\nAnswer: -501","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 51, -4, 3 in descending order.\nAnswer: 51, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (5 - -3)) + (-230)\/(-25).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2294 - 1577. Let o be y\/(-18) - (-2)\/(-12). Let i be ((-6)\/(-5))\/((-12)\/o). Solve -3*r = -r + 2*u + 12, -3*r = i*u + 22 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.1, 44, -2\/25, 0.6?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c**4 - 74664*c**3 + 348643460*c**2 - 2089546800*c + 1740978000 = 0. Calculate c.\nAnswer: 1, 5, 9330","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -9*d + 7. Let p(q) = -4*q + 3. What is -2*l(g) + 5*p(g)?\nAnswer: -2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 61412002?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, 5, 3, -1, -7, -15?\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 + -5. Suppose -v*x + 5 = -3. Suppose 4*j = 5*t - 48, -4*t + 22 = -x*j - 20. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1064?\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l**4 + 436544*l**3 - 15881616168*l**2 + 192628115226272*l - 962743590292660 = 0 for l.\nAnswer: 5, 36377","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 33 - -21705?\nAnswer: 21738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(4\/2) + -3. Let d(n) = n**2 + 3*n + 2. Let x be d(q). Solve 0 = 7*f - 3*f - x for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 1\/3*q - 1\/3*q**3 + 1\/3 - 1\/3*q**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 45653 and 118.6849897?\nAnswer: 45534.3150103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 165992?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 - 5*d**2 + 7*d. Let n be z(3). What is the highest common divisor of n and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26\/6*(-80808)\/(-9464).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, -12, 2, -101, -24, -21.\nAnswer: -101, -24, -21, -12, -5, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.2 - 1.2. Let g = 1 - 1. Let x be (2 - 2)*2\/(-2). What is the closest to x in -3, a, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of -c**6\/120 - c**5\/30 + c**4\/24 - c**3\/2 - c**2. Determine t(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 209343?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 38036.5 + -38037. What is the nearest to -0.1 in v, -0.1, -3, -8.62?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 x when two letters picked without replacement from sxxwwxxsxssxsxwwxxsx?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 16947 - 1?\nAnswer: 16946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 18. Let r(n) = 8*n - n + 2*n - 2 - 6*n. What is the smallest common multiple of r(8) and d?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of l**5\/10 + 31*l**4\/12 - 17*l**3\/6 - 7*l**2 + 3*l - 9. Let a be y(-16). Sort -5, 10, a in decreasing order.\nAnswer: 10, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1235293 is divided by 43?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3*16\/12 - 4\/2. Let m be 0 - (-7)\/s - (-80)\/120. Let f(g) = -g**2 + 8*g - 9. Let b be f(7). What is the closest to -1 in -1\/7, m, b?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -1354*p - 21. Calculate o(0).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -5*k - 37. Let y be o(-8). Solve p + 1 = -y for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -77 - -79. What is the third derivative of 0*t**2 - 2 + 6*t**2 + 5*t**2 - 7*t**5 - 2*t**z wrt t?\nAnswer: -420*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-2)*(-1)\/(-4). Let d = 0.3945 - -0.6055. Let w = 0.6 - 0.7. What is the nearest to 1 in d, j, w?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 760?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bau when three letters picked without replacement from {w: 1, a: 3, l: 5, b: 1, u: 1, q: 4}?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 40000*x**2 - 2*x + 8. Let o be q(4). Round o to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 904593943?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17240.0027938 + 17240. Round d to 4 decimal places.\nAnswer: -0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6 + 8)*1\/(-2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 76\/7 and -5160 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7805108 a multiple of 630?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2 + s + 1. Let l(q) = -16*q**2 + 2*q + 5. Let u(n) = 4*a(n) - l(n). Suppose 2 + 7 = 3*v. Is u(v) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 491003 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 = -0*s + 3*s + 5*q, 0 = -3*s + 3*q + 3 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (43 - 18785\/425) + (-512)\/(-460).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 2*p = p. Let h(v) = v + 6. Let w be h(p). Let c(x) = -x**3 + 5*x**2 + 8*x - 1. Give c(w).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, -689, 2667 in descending order.\nAnswer: 2667, 5, 1, -689","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2144562023?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 139 + 11*j - 23*j - 16 + 14*j + 66 as c + l*j and give c.\nAnswer: 189","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70264?\nAnswer: 2, 8783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*m - 27*m + 15*m + (0 - 5 + 4)*(-2*m - 2 + 2) + 3*m - m - m + (-7 - 16*m + 7)*(-4 + 2 + 0) to h + z*m and give z.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 29.58518t?\nAnswer: 29585180000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13\/(-52) + (-35)\/20?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -98 and 110?\nAnswer: -10780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-136)\/13600)\/(1\/(-4))*1?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0008051 rounded to 5 dps?\nAnswer: -0.00081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -17813621 divided by -151\nAnswer: 117971","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 818, 822, 828, 836, 846, 858, 872?\n\"Answer: u**2 + u + 816","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64402489.\nAnswer: 2029, 31741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1047 + 2?\nAnswer: 1049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -12*r. Let j(i) be the first derivative of 218*i**2 - 10104. Calculate j(v(m)).\nAnswer: -5232*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/18927 and 169\/3402.\nAnswer: 2384802","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -66 + 18. Let r = o - -15. What is the second derivative of -3*i - 2*i**r - 7*i + 0*i**3 + 5*i wrt i?\nAnswer: -12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-19*h - 13*h - 9*h)*(-12*h + 39*h + 42*h) in the form t*h**2 + c + a*h and give t.\nAnswer: -2829","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*l - 705 = -52*l - 3009 for l.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.01712 and 1350615581.\nAnswer: 1350615580.98288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 - 5 = -6*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of 1\/420*j**6 + 108*j**2 + 225\/7*j**4 + 0*j - 3\/7*j**5 - 9000\/7*j**3 + 0. Factor x(u).\nAnswer: 2*(u - 30)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-896)\/(-784)*-1*(-3)\/4. Factor -x + 2\/7*j**2 - 4\/7*j.\nAnswer: 2*(j - 3)*(j + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 502 - -3?\nAnswer: 505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 t, 1 j, and 1 w when four letters picked without replacement from {z: 2, w: 1, t: 5, j: 1, h: 3}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from crmrmmmmmm. What is prob of sequence rm?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -654935.929 to the nearest ten.\nAnswer: -654940","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -13248065.7 to the nearest one thousand.\nAnswer: -13248000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-4))\/(6\/6).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 25\/8 in -1\/9, -5, 4, -0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 2*y = -7*y - 6225, -5*a + 5*y = 6255. Let m = 111 + a. Is 1\/(-3)*(m - 0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1817120?\nAnswer: 2, 5, 41, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4825294?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-2 + (2 + (sqrt(425) + -6*(1*sqrt(425) + sqrt(425)) - (1 + -2*sqrt(425))) + -2*-5*(sqrt(425) - (sqrt(425)*-1 + sqrt(425))))**2*-5).\nAnswer: -10660 - 250*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -273.84154 to one dp.\nAnswer: -273.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 382 = 4*w + 19, -3*w - 2039 = -5*x. Let z(d) = d**3 - 4*d**2 - 11*d + 2. Let q be z(6). Suppose -x = -q*h + 311. Is h a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24) + (2*sqrt(192))\/sqrt(8) + sqrt(24))\/sqrt(12).\nAnswer: 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -5*f - 1. Let p be i(-2). Suppose 0 = 3*k + t + t, p = -3*t. Suppose 13 = 3*o + 2*w, -k*o + 4 + 8 = 2*w. Solve -s - o = 4 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2487*d = 5605*d - 2370*d - 73304 for d.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -200222210122210 + -121?\nAnswer: -200222210200101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (190 + 20*a - 190 + (2*a - 3*a - 2*a)*(-2 - 1 + 1))*(2 - 2*a - 1 + 0).\nAnswer: -52*a**2 + 26*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 16 = 0, 4*m + 9 = 4*d + 37. Suppose -m*j - 2*j = -30. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-32 - -78)*(-3398)\/(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*s**4 + 25*s + 44*s**3 + 4*s**2 - 57*s - 5*s**2 - 23*s**2.\nAnswer: 4*s*(s - 1)*(s + 4)*(3*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-23*u**2 + 3*u - 3 - 1 + 25*u**2 + u**3)*(-1 - 6*u + 1) to the form t*u**4 + r*u**3 + c + g*u + s*u**2 and give r.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-51*a + 0 - 16 + 13)*(1 + 2 - 1 + (0 + 3 - 5)*(-2 + 0 + 0))*(4 - 3 - 3) as d + c*a and give d.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26 - 20. Is 11 a factor of 26 - 12\/(3 - s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -917\/230 - -2\/23. Let m = -34121\/24 + 1418. What is the common denominator of m and z?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.03 - 0.029606. Round n to four decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 3 - 1)*(-2*f**3 + 29*f**2 + 8*f**2 - 5*f**2).\nAnswer: -4*f**3 + 64*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of 12 and -39.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/4 of a millennium?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 53 = -41. Suppose -3*m = -5*m - 3*t - 1, 0 = d*m + 5*t - 1. Let n be (12\/9)\/(m\/(-12)). Solve -n*h = h + 3, 2*s + h + 11 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 93\/(109368\/112)*(12\/(-27))\/(7\/49).\nAnswer: -8\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 2*x = 196, 2*i = -0*i + x + 140. Suppose 6*v + i = 10*v. What are the prime factors of v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22445 is divided by 11173.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42 + -16 + (-10 - (-44 - 12)).\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-24))\/((1840\/(-72))\/(-23))?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 269 and 4797.24712?\nAnswer: 4528.24712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1288 and 99624?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of -w**7\/840 - w**6\/360 - w**5\/120 + 5*w**4\/24 - w**3\/3 + 4*w. Let h(m) be the second derivative of q(m). Determine h(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 + 6*c**2 + 6*c + 6. Suppose b = -2 - 3. Let z be x(b). Let t be z\/(-2)*2*1. Is t >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -388 - h**3 + 867 - 357 to the form y + t*h + g*h**3 + i*h**2 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3581\/6 + 2517431\/4218. Let z = -14029 - -70147\/5. Sort h, -2, z in decreasing order.\nAnswer: z, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - 2. Suppose 0 = -5*s + 3*s + 2*c, 3*s = 4*c - g. Suppose -5*n - 15 = 0, -s*j - 6*n + 3*n = -7. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*k**5\/7 + 98928*k**4\/7 - 240328*k**3 + 2869932*k**2\/7 + 1682294*k\/7 - 2968860\/7 = 0. What is k?\nAnswer: -49481, -1, 1, 2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (7 - 3*f + 0 + 0)*(-1 - 2 - 4)*(1 + 0 + 1) as o + t*f and give o.\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + -88?\nAnswer: -8c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1439 is divided by 37?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1121419 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -5*m - 54. Let p(y) = 4*y + 54. Let b(u) = -3*d(u) - 2*p(u). Is b(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21 or -53?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 + 4*w - 6. Let s be i(4). Let t be -3 + s\/4*-2. Let g = 0 - 5. Which is the second smallest value? (a) t (b) g (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/9 (b) -4 (c) 0.04 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 116 by -29.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = m + 2*m - 29, 2*m + 54 = 4*j. Let q = j + -3. Suppose 2*d = -d + 15. Solve -z - 2 = d*g, 4*z = -3*g + 4*g - q for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20 - -14. Let h = j - -6.1. Let u = 0.2 - -1.8. What is the closest to -0.1 in h, 3, u?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3049073 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 11) in base 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 0 - 8)*(-1932*q**3 - 2089*q**3 - 3241*q**3 - 2728*q**3 + 897*q**3) in the form a*q**3 + b + i*q + t*q**2 and give a.\nAnswer: 81837","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2697 = 5020*k - 84438 + 6815 for k.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 + 12. Suppose 20 = -2*a + a. Let l be ((-38)\/a + n)*-2. Which is bigger: l or -4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 4700?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**4 + 60*g**3 + 160*g**2 - 240*g - 720.\nAnswer: 5*(g - 2)*(g + 2)*(g + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 22 = 4*m, -4*q - 30911 = -2*m - 30893 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 8 = 19. Let i = -32\/3 - m. Find r such that 0 + i*r**3 + 2\/3*r**2 + 1\/3*r = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1120 - 764. Suppose n = -7*o + 3*o. Let a = o + 138. Which is bigger: a or 48?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1941263357 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -187\/76 + -3\/76. Is -3 less than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9546172 and 14.\nAnswer: 66823204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -475, -468, -457, -442?\n\"Answer: 2*z**2 + z - 478","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22411\/18 + 1239. Calculate the common denominator of 1 + ((-29)\/(-24) - 0) and n.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*t - 4 + 4)*(-2585*t + 2 + 2585*t + t**3 - 26*t**2).\nAnswer: -6*t**4 + 156*t**3 - 12*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2*z + 0*z + 13*z - 7*z - 6*z**2 + 2*z. Let y(k) = -7*k**2 + 11*k + 1. Let p = 3 + 1. Let h(w) = p*y(w) - 5*l(w). Find v, given that h(v) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 5*f**2 - f. Suppose -3*g + p + 2 = -g, 20 = -5*p. Calculate the least common multiple of c(g) and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 14*d + 7*d + 8*d - 28*d. Let t(n) be the second derivative of n**4\/2 + n. What is t(l(m))?\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2794525787 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 7*s. Let r(v) = -53721*v**2. Calculate t(r(k)).\nAnswer: -376047*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -28580 - -28579.8. What is the third biggest value in 1\/5, -19, z?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*z + 13*z - 7*z**3 + 20*z + 22*z.\nAnswer: -7*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27, -36, -45?\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*i*l - 224*i + 63*l**3 wrt l.\nAnswer: 2*i + 189*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 304592\nAnswer: 304587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 61696 and 400?\nAnswer: 1542400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1130411101 (base 5) to base 4\nAnswer: 21320222221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 + y**2 - 4. Let h be k(0). Let g = -6628 - -6594. Which is the nearest to 1? (a) g (b) -1 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 406112 and 298368.\nAnswer: 14620032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000745610514 rounded to 5 decimal places?\nAnswer: 0.00075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of -3*r**4\/4 + 4*r**3\/3 - 4. Find the third derivative of s(a) wrt a.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 - 8 + (-2 - 2 + 2)*(-2 - 2 + 5) + 2 - 1 - 2)*(-3*j + 3*j + 2*j)*(0 + 0 + 2*j).\nAnswer: -56*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 3*i + 393, 14*u - 7*u - i = 1423. Let w = u - 109. Calculate the remainder when w is divided by 25.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**33*p*p**15)**(7\/5) assuming p is positive.\nAnswer: p**(343\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -18*n**3 + 5*n**2 + 6*n + 2. Let t be i(-2). Suppose 182 = 2*c - t. What are the prime factors of c?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwwwwwww. Give prob of picking 2 w.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33855804 divided by 11285268.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of -l**4\/4 + 10*l**3 - 28*l**2 + 2*l - 37. Let d be y(28). Factor 0*r + 5\/4*r**d - 5\/4.\nAnswer: 5*(r - 1)*(r + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 56*o**3 - 3*o**2 - 3*o - 1. Let v(m) = m**3 + m**2 + m + 1. Let n(k) = -i(k) - 2*v(k). What is the tens digit of n(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -8, -32, -2, -3, -225 in descending order.\nAnswer: 3, -2, -3, -8, -32, -225","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1050 = -69*o + 139*o for o.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*m**3 - 41276224*m**2 + 745499207*m wrt m.\nAnswer: 48*m - 82552448","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 12*w - 9)*(2 - 6 + 0)*(2*w**3 + 4*w**3 + w**3).\nAnswer: 336*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*c - 12 = -41*c - 4*m, c + 5*m - 15 = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 64347893 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.1, 1, -2, -41?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/1514898 and 105\/24046.\nAnswer: 1514898","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a tonne in grams?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -30131, -30130, -30123, -30104, -30067, -30006?\n\"Answer: x**3 - 3*x**2 + 3*x - 30132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h + 5*h + 34*h**2 - 6*h - 13*h**2 to k*h + l + x*h**2 and give x.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2. Let g(a) = 76856806*a**2. What is q(g(k))?\nAnswer: 5906968628521636*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 l when four letters picked without replacement from {l: 5, b: 14}.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/4)\/(-1*(-1 + -5))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 201\/(-1)*(2 + 12\/(-4))?\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*o**4 + 6 + 17 + 3*o - 28 + (-o**2 + o - o)*(-1 + 1 - 2*o**2).\nAnswer: -3*o**4 + 3*o - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -26, 0.5, 2\/195?\nAnswer: 2\/195","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -114.7 and 25932966326.\nAnswer: 25932966211.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10 - -113?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 77*d + 3161. Let b be c(-41). Solve 9*i - 13*i - 29 = -3*n, 0 = i - b*n + 17 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 8 = y + 3*r, 0 = -2*y + 3*r + 2. Let h = 19 - y. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/12 + (-63)\/(-12). Suppose -n*j + 37 = 2. Does 7 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135*j = -42*j + 3*j + 113*j - 2299 for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-47067)\/116)\/((-3)\/4) is divided by 68.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-936)\/162 - (-5 - -3 - 4).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -w**5\/2 - 107*w**4\/4 - 603*w**3\/4 + 12551*w**2\/4 + 102245*w\/4 + 11979 = 0.\nAnswer: -44, -11, -9, -1\/2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-26850)\/350 + 445\/623\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 + 47*v**2 - 321*v + 513. Let c(s) = -46*s**2 + 320*s - 510. Let m(d) = 6*c(d) + 4*t(d). Find n such that m(n) = 0.\nAnswer: -28, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 73\/7 in -0.2, -3, -6\/7, 2.8?\nAnswer: 2.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 PM and 7:48 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*x + 3. Let n be -15*x*2\/(-4). Let m = n - 5. Is 9 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.194, -0.3, -15, -1\/9, 1\/5, -511, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2375480664?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7306146 divided by 5.\nAnswer: 7306146\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-4)*53*2. Let z = 215 + f. Suppose -l = -2*a - z, 2*l - 175 = -5*a + 379. What is the tens digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**7\/s)\/(s*s**(-6\/11)*s)*s*s**(-2\/3)*s*s*s**(1\/4) assuming s is positive.\nAnswer: s**(941\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 5*d**3 + 5*d**2 + 1102*d. Let b(m) = m**3 + 2*m**2 + 552*m. Calculate -5*b(k) + 2*f(k).\nAnswer: 5*k**3 - 556*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5699 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22027.\nAnswer: 22027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < -6\/5395?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 5:47 PM?\nAnswer: 3:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhll when four letters picked without replacement from hlhlhllhhhhhlhll.\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 - 8*o + 6. Give c(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -6*x + 1. Let g(m) = 7*m**2 - 6*m + 12. Let i(k) = 13*k**2 - 11*k + 22. Let h(z) = -11*g(z) + 6*i(z). Give q(h(j)).\nAnswer: -6*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)\/(2*sqrt(4)))\/(sqrt(6) + sqrt(384) - sqrt(6)).\nAnswer: sqrt(2)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 2*a**3 - 6)*(-2 - a + 2) - a**4 - 2*a**4 + 0*a**4.\nAnswer: -a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2230?\nAnswer: 2, 5, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - b6?\nAnswer: -b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 2*c - 30 = 0. Suppose -3*k + c = 2*k. Suppose -x - 39 = -u - 0*x, 3*u + k*x = 105. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 - 5*h**2 + 7. Suppose 88*j - 94*j = -6. Let o be ((-2 + j)\/(-1))\/((-13)\/(-65)). Calculate v(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (25\/(-125))\/(3\/(45\/4))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 240 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 494\/345 - 36\/23. Which is the closest to -1? (a) 0 (b) l (c) 6\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 38931 and 3366933.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 27*l - 25*l = 60080, -3*s = -2*l - 45074. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*z + 7 - 24*z - 8*z - 1 - 1.\nAnswer: -16*z + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 6*x**4 - 6884*x**3 - 11486*x**2 - 4596*x = 0.\nAnswer: -1, -2\/3, 0, 1149","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -158830 and 5?\nAnswer: -794150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ewehewrhlhde. Give prob of sequence lww.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -10\/51 and -23\/31491?\nAnswer: 535347","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -g**2\/4 - 39557*g\/2 - 1977225\/4 = 0.\nAnswer: -79089, -25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -372, -739, -1106?\n\"Answer: -367*k - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 224*c**2 - 91*c**2 + 150*c**2.\nAnswer: 283*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.7 - 0.75.\nAnswer: -1.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 779 - 785 = -2*u, 0 = -u - p + 2 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 471439 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(1*2\/(-22)). Suppose 2*l - 2*r = -2 - 2, y = 4*l + 2*r. Let i = 8 + -3. What is the remainder when i is divided by l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 4*k - 2 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 144*v - 1723. Let l be x(12). Sort -4, l, -86, -2, 1.\nAnswer: -86, -4, -2, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -93*o. Let c(f) = -154*f + 4. What is k(c(g))?\nAnswer: 14322*g - 372","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2033 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b (base 14) to base 2\nAnswer: 1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*d - 1071 + 4151. Is 40 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 - -183)*(203 - 7). Let w = k + -2235052\/63. Let v = 17\/7 - w. What is the common denominator of 55\/7 and v?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wtwtwcjwowtwccctoww. Give prob of sequence wwc.\nAnswer: 112\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -i**3 - 41*i**2 - 151*i - 111 = 0?\nAnswer: -37, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 313173 or -12?\nAnswer: 313173","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2*z**3 + 17*z**2 - 21. Let b be a(-8). Calculate the highest common divisor of 43 and b.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -v**5 - 14*v**4 + 49*v**3 - 34*v**2 = 0.\nAnswer: -17, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -222 + 247. Is 5 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 18 = -12. Let t(f) = -3*f + 11. List the prime factors of t(a).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 264 and 9328?\nAnswer: 27984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqbq when four letters picked without replacement from {b: 3, q: 5, h: 4}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16710377?\nAnswer: 16710377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -87699 divided by 4728?\nAnswer: -29233\/1576","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - 1. Suppose 5*t = t + 4*i - 4, t + 5*i - 5 = l. Suppose -4*m = -5*v + 45, 2*v - 2*m - 16 = -t*m. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 240884582 is divided by 76.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 31 - 16. Let a(p) = p + 30. Let g be a(i). Is 16 a factor of (-3 + 10)\/(3\/g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/(s\/(s\/(s*s**(2\/5))))*s\/(s\/(s*s\/s**(-20))) assuming s is positive.\nAnswer: s**(108\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63816.7889*2.\nAnswer: 127633.5778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5250 + 5794 = -32*k for k.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 477580603 a multiple of 289?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/(-25))\/(1\/5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 2 + 4)*(77 - 77 - 3*q**2)*(179 + 21*q - 177 + 38*q) in the form p*q**2 + z*q**3 + b*q + k and give z.\nAnswer: 177","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 18 = 8. Suppose -q*c - 3*c - 15 = 0, r - 2*c - 33 = 0. List the prime factors of r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 82 + -71. Let j be (-10)\/(-25) - k\/(-10). Factor -j*s**2 + 1\/2 - s.\nAnswer: -(s + 1)*(3*s - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 290 a factor of 60538175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + -4. Let g = q - 1. Suppose -15 = w - g*w. Calculate the remainder when 28 is divided by w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 - -29.85583763.\nAnswer: 33.85583763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 61231 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -12*q**2. Let p(z) = 4*z. Let o(j) = j**3 - 3*j**2 - 2*j - 4. Let g be o(4). Let d(a) = -5*a. Let h(n) = g*p(n) + 3*d(n). Calculate h(t(k)).\nAnswer: -12*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3, -3, 0, 2, -245 in descending order.\nAnswer: 5, 3, 2, 0, -3, -245","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17628 and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 2 - 22 = 2*t, -2*b - 4*t + 18 = 0. Suppose -5*f + 5*j - 14 = -49, -f - b = 5*j. Let z be 2\/(-7) + (-46)\/(-14). Do f and z have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 2871 = 5*y. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7229\/730 - 102\/73. Let u = -71\/104 + 93\/91. Calculate the common denominator of u and c.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13.3 - -1.7. Let s = w + -12. Let y = 1.1 - 0.1. What is the nearest to y in 0.2, -0.1, s?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -47473001763427\/1909777 + 24857877. Let l = 769640871\/706617490 - r. Let c = l - -30\/37. Calculate the common denominator of 81\/8 and c.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -2*n. Let a(d) = -11*d - 466 + 466 - 4*d. Calculate a(u(o)).\nAnswer: 30*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-135)\/(-20))\/((-1)\/4). Is 11 a factor of (-291)\/u + 2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = l, 624*o + 10 = 629*o + 5*l for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -5*t**3 - 2*t**2 + 12*t + 10. Let x(u) = u**3 + u + 1. Let n(d) = q(d) + 4*x(d). Is 18 a factor of n(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-15)*3*8\/48\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*d**3*x**3 - d**3*x + 4*d**2*x**2 - 93*d**2 - 18*d*x**3 - 2*d + 8*x wrt x?\nAnswer: 24*d**3*x + 8*d**2 - 108*d*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 3)*(2*d + 0*d + 0*d).\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03 minus -4246708898?\nAnswer: 4246708898.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135239 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -4*t**2 - 20*t - 3. Determine h(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 5 = -5*o. Suppose -j - 8 = 5*r, -j - 4*j - o*r = -6. Solve 3*t**j + 3*t**4 + t**2 - 7*t**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*t + 8247 = 12 - 655. Solve v - 256 = -t for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49aab (base 12) in base 14?\nAnswer: 28679","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/48 and 139\/576?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-150)\/12250*-49*-1\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = -4*o - 6*v, 2*o + 2*o - 12 = -33*v + 29*v for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3302 and -2.54?\nAnswer: 3299.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 2*w**2\/5 + 4024*w\/5 - 21123136\/5 = 0?\nAnswer: -4408, 2396","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**5\/4 - 9*p**4\/2 + 31*p**3\/2 - 22*p**2 + 57*p\/4 - 7\/2.\nAnswer: (p - 14)*(p - 1)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-46 + 3744\/72)*(-9)\/12\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -430 - 1746 = -174*a + 1826 for a.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -196 + 195. Let d(r) = 27*r**3 - 2*r**2 + 9*r - 2. Let g(i) = 14*i**3 - i**2 + 5*i - 1. Let y = 16 + -27. Let a(w) = y*g(w) + 6*d(w). Determine a(n).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16, 43, 70, 97?\nAnswer: 124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.16275114 - -885.\nAnswer: 885.16275114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 7 = 4. Let u = 15 - p. What is the smallest common multiple of u and 2?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -693*d - 1. Let h(n) = 2008*n + 4. Calculate 2*h(w) + 7*i(w).\nAnswer: -835*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from caooaax. What is prob of sequence acxa?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 371121 divided by 3\nAnswer: 123707","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 3 + 13 - 3 - 43*g - 4.\nAnswer: -43*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 105 to the power of 1\/2, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 58 divided by -4654\nAnswer: -29\/2327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 2*v + 14 = 3, 0 = -4*d - v + 11. Suppose -w = -2*z + 7, -5*z + 4*z - d*w = -14. Factor -1\/5*m**4 + 0 + 1\/5*m**2 + 0*m - 1\/5*m**z + 1\/5*m**3.\nAnswer: -m**2*(m - 1)*(m + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55b (base 13) to base 16.\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112*m = 104*m + 56. Suppose -m*l + 50 = -6. Let h be -2 + 3\/(6\/20). Solve 4*g = -h - l for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-6) + -24*(-4)\/90\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-16)\/12*141\/2. Let r = 151 + v. Let k be r\/11 + 36\/(-198). Solve 0 = -3*a - 1 - k for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2 - 8*s - 11. Give r(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/(-3) - ((-8)\/(-12) - 1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 11*d**2 + 48*d - 1210. Let a(r) = -11*r**2 - 51*r + 1210. Let k(m) = -6*a(m) - 5*i(m). Differentiate k(o) wrt o.\nAnswer: 22*o + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31, -15, 35, 137, 309, 569, 935, 1425?\nAnswer: 2057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3978 - -3985. Let n(o) = -3*o - 1. Let g be n(1). Let y be (-88)\/(-14) - (2 + g). Which is bigger: y or c?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 149 - b - b + b**3 - 149 as k + d*b + l*b**3 + o*b**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of t**9\/1512 - t**8\/420 + t**6\/90 - t**5\/60 + 11*t**3\/3 - 21*t**2 + 2. Let f(z) be the first derivative of c(z). Factor f(k).\nAnswer: 2*k*(k - 1)**3*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 + -12 - -18 - -18) + 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 292132*c**3 + 11*c**2 + 105710 wrt c.\nAnswer: 1752792","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - c = 121, 2*n + 4*c + 1 = 97. Suppose 0 = 4*z + 5*a - 88, -5*z + 3*a = -89 - n. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -8*z - 8*z. Let x be ((-42)\/(-16) - 2) + -1. Which is the nearest to z? (a) 0.1 (b) x (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -48 + 1 + ((-1 - -5) + 6 - 5).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4 + 5\/((-20)\/(-316)). Suppose -2*v = 5*h + f, -v - 25 = -0*v + 5*h. Find the common denominator of ((-5285)\/v)\/7 - 4 and -24\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -0*i + 3*i. Let g(d) = 6*d**3 - d**2 + d - 1. Let a = -70 + 77. Calculate the remainder when a is divided by g(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 183094532?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8132 and 105716.\nAnswer: 105716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13873?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 9940320 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17 - -13. Does 2 divide 8\/m - (-18)\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -7\/9273?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 42 + -30. Suppose -f + 64 = 4*j. Let t = 16 + j. What is the remainder when t is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25324 - 25618 = 7*b for b.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 10*b + 29. Give w(-26).\nAnswer: -231","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/7, 52, -2, 0.3.\nAnswer: -2, -3\/7, 0.3, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 114.4 + -131. Let t = f - -17. Let i = 201\/5 - 40. Which is the nearest to 0? (a) i (b) -0.3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-135)\/2*622\/(-2799)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the second derivative of a**4\/9 - 1292*a**3\/9 + 208658*a**2\/3 - 8*a + 1. Factor c(w).\nAnswer: 4*(w - 323)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.466 + 2.2. Round l to 1 decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.08 and -0.167312355.\nAnswer: -0.247312355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 + 2*b**2 - 5*b - 5. Let a(x) = -2*x**3 - 4*x**2 + 9*x + 10. Let k(i) = -2*a(i) - 5*c(i). Is k(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00265097382 rounded to five dps?\nAnswer: 0.00265","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 29983 = -5*k + 137555, -4*k + 86056 = -2*g. What are the prime factors of k?\nAnswer: 2, 3, 11, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 715 and 54963051.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-9)\/(-6)*140\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v - 10628 = -2*v. Let g = v - -5178. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (30\/(-8))\/((-42)\/28)*27\/(4050\/(-5160))\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/2402 and -13\/6?\nAnswer: 7206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -366*w**3*y**2 - 31*w**3*y - w**2*y wrt y?\nAnswer: -732*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 1 + x)*(-14*x - 20*x + 25*x).\nAnswer: -9*x**2 + 18*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cgcsccdcsccccncsg. What is prob of picking 2 g and 2 s?\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-9)*420\/(-40)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(405) - (sqrt(405) - (sqrt(405) + -1*sqrt(405)))))**2*-1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26951 + -107805\/4. What is the nearest to -1 in 10, p, 4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 + 26*p**2 - 155*p + 22. Let d = -204 - -213. Let r = -20 - -32. Calculate the remainder when r is divided by h(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is f1d - 0?\nAnswer: f1d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-275)\/330 - (-70)\/12. Suppose -5006 = -a*h - y, 4563 - 563 = 4*h + 2*y. List the prime factors of h.\nAnswer: 2, 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + r + 352 = 24, 552 = 5*v - 3*r. Let l = v - -1618. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -328195 (base 10) to base 9\nAnswer: -550171","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 9 - 10 - (-8 + 12) - -4\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*n**4 - 3*n**4 - n - 5*n**3 + 3*n**3 to the form q*n + k + l*n**2 + y*n**3 + s*n**4 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -82*b - 3588. Let l be w(-59). Calculate the greatest common divisor of 1600 and l.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - 4, 3*z + 3*l + 410 = 4*z. Let y = z + -385. Calculate the greatest common factor of 325 and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 - 5*u**2 - 24*u - 18. Let a be p(-6). Calculate the highest common factor of 48 and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 764 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of g**4 + 4*g**3 - 147*g**2 - 19599*g?\nAnswer: 12*g**2 + 24*g - 294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35244?\nAnswer: 2, 3, 11, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -63441503 or -63441506?\nAnswer: -63441503","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 48 - -20. Suppose 0 = j - 337 + s. List the prime factors of j.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y + 10 = 12*y. What is the closest to 5 in y, -0.4, -0.5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 5*w. Let s(k) be the second derivative of k**4\/12 - 5*k. What is s(m(p))?\nAnswer: 25*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -18, -59, -170, -387, -746?\n\"Answer: -6*l**3 + l**2 - 2*l - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x + 2. Let y be 41\/(-3) - 4\/(-6). Let h = y - -18. Determine v(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-24)\/(-14) + (-4)\/(-14). Let g = -2144 + 2142. Let d be 1\/(-4) - 22\/8. Put d, s, g in decreasing order.\nAnswer: s, g, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3869168982?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*o = -29*o - h - 49, -4*o = 2*h + 46 for o.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 23 + 14 - 16*v + 93.\nAnswer: -16*v + 127","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r. Let o(i) = -i**2 - 4*i + 7. Let t(j) = 2*j**2 + 7*j - 13. Let a(f) = -7*o(f) - 4*t(f). Calculate -2*a(g) - 2*v(g).\nAnswer: 2*g**2 - 2*g - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/6, 84\/17, -3, -4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -8.3563\nAnswer: -33.4252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -94573 + 94573 + 1937*g + 3*g - 7*g - 2*g + 6*g - g - 3*g + (0 + 1 - 3)*(2*g - g + g) - g - 4 + 4 to i + b*g and give b.\nAnswer: 1928","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the third derivative of n**6\/120 + n**5\/60 - 5*n**4\/24 + 191*n**3\/6 - 12*n**2 - n. Is x(0) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -86 + 160. Let v = x - -90. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -5\/2864636 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*y - 3*y - 10*y)*(-4 - 34 - 37 - 3 - 45) as c + l*y and give l.\nAnswer: 2337","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -64 - (2\/(-12) + (-6)\/(-36)). Let m = -69 - k. Let j(f) = f**2 + 2*f - 6. Calculate j(m).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10673 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -k**4\/4 - 63*k**3\/2 - 125*k**2\/4 = 0.\nAnswer: -125, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -0*d + 3*h + 15, -5*h = -d + 3. Suppose -d = -n - 11. Is -204*-1*(-4)\/n a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 408844039?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 - 15128*d. What is z(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-38 - -17) + -35 - -51?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 88\/1125 and 29\/143640?\nAnswer: 3591000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -11*u - 38. What is m(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -227, 12, 2250 in decreasing order.\nAnswer: 2250, 12, -227","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -62550 divided by -50.\nAnswer: 1251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3610853 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7394, 61285, 207562, 492419, 962050, 1662649, 2640410?\nAnswer: 3941527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2\/91813 - -51048038\/459065. Let x = -656865299\/6053360 - -9\/756670. Let p = z + x. Calculate the common denominator of -119\/18 and p.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3133 + 2*o**2 + 3257 - 6176)*(0 + 0 + 4*o).\nAnswer: 8*o**3 + 856*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10248.5 - -10249. Which is the nearest to g? (a) -3 (b) 2\/11 (c) 0.2 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wttsttddtwtttddws. What is prob of picking 2 w?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 40855?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-451)\/(-66))\/(-41) + ((-50)\/(-12) - -3). Solve -j*d - 4*d = -77 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/4)\/(-3*1\/162)*1\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 188026817.\nAnswer: 11, 17, 23, 43717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2638, -5279, -7922, -10567, -13214, -15863?\nAnswer: -18514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 87939596 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -12*p + 7. Let a(f) = 4*f - 2. Suppose 13*t + 18 = -8. Let x be ((-1)\/2)\/((-5)\/(-70)). What is t*z(c) + x*a(c)?\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(468) - (sqrt(468)*4 + sqrt(468)) - (3 + sqrt(1573)))*6)**2.\nAnswer: 7560*sqrt(13) + 573624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -39*b*s**6 + 35*b*s**3 - 136*b*s - 8*s**2 wrt s.\nAnswer: -4680*b*s**3 + 210*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -5*s**2\/2 + 40765*s - 34881000 = 0.\nAnswer: 906, 15400","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*b - 44 + 4*b + 11*b.\nAnswer: 29*b - 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 252 - 91. Let k = 21 - 5. Suppose -l = -5*j + 4*d + 88, 4*d = k. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lblsslllsls. Give prob of picking 2 s and 1 b.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 3*k**2. Let a(d) = -13*d**2 + 10*d**2 + 4*d**2. Calculate a(m(z)).\nAnswer: 9*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4603 - -4599. Let s be ((-20)\/16)\/((-33)\/(-296)). Let m = s - -138\/11. Sort m, t, -8 in decreasing order.\nAnswer: m, t, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 times 70?\nAnswer: 5740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 405 = w, 5*w + 360 = 2*v + 135. Suppose 0 = 4*g - 0*g - v. Suppose -g + 9 = -4*s. What is the remainder when 5 is divided by s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1372875?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*h + 444 = 468 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 958190, 958186, 958180, 958172, 958162, 958150, 958136?\nAnswer: 958120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 845*b**2 + 3*b + 0*b - 7*b + 4*b.\nAnswer: 845*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4130 and 910?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 264 and 3308272.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1461?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 + 5*l - 11. Let s be p(2). Let g(c) = 0*c**2 - 6*c**3 + 1 + 7*c**s + 6*c**2 - 3. Give g(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125*q**4 - q + q**2 - 123*q**4 + q**5 - 3*q**2 = 0. What is q?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - 700?\nAnswer: -702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3369936167.439971 + -3369940332. Let q = 4133.56 + z. Let o = -31 - q. What is o rounded to 5 decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2 + 10*f + 5. Let y be v(-9). Let r(b) = 5*b - 9. Let p(l) = 6*l - 10. Suppose -77*i - 68 + 319 = -134. Give i*r(w) + y*p(w).\nAnswer: w - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7588911\/14 in -5, 3\/8, 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -0*y + 2*y. Let z be (y\/(-6))\/(4\/(-6)). Suppose -5*d = -z*d - 16. Is d a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -1309604.\nAnswer: -2619208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -39525 by -7905.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 5*d**2 + 41309690*d + 85324524394805 = 0.\nAnswer: -4130969","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {l: 6, f: 12}?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -2*o + 9. Calculate the lowest common multiple of 11 and o.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 = -d - 5*w + w, d + 1028*w = 1026*w + 28 for d.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that v**3\/4 + 5231*v**2\/4 - 148820*v + 4188912 = 0.\nAnswer: -5343, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -46 + 87. Let x = -30 + y. Suppose 5*f + 12 = x*f. Solve 4*u + 9 = 5*j, -2*u = 2*u + 2*j + f for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 317*j**2. Let m(l) = 3*l**2. Give m(d(v)).\nAnswer: 301467*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 139*y - 20 = 144*y, -3*y - 30 = 3*h. What is the closest to h in 24, 3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -59 + (54 - (53 + 2))?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -326 - -620. Does 21 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 2)*(-2 + 5 - 5 + 2*c) - 2*c + 7*c - 3*c.\nAnswer: -4*c + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 47617, 47728, 47927, 48226, 48637, 49172, 49843, 50662?\n\"Answer: 2*s**3 + 32*s**2 + s + 47582","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 PM and 12:15 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1 + -2 + sqrt(720))**2 + sqrt(720))*-1 - ((sqrt(720) - sqrt(720)*2) + 3 - (-1 + sqrt(720))*-5)**2) + -1.\nAnswer: -12254 + 252*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13671789?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0025778 rounded to 5 decimal places?\nAnswer: -0.00258","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 5 + 13 - 2*f**2 - 75*f.\nAnswer: -2*f**2 - 75*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 3*t**5\/5 - 228*t**4\/5 + 5619*t**3\/5 - 40794*t**2\/5 - 99372*t\/5 - 52728\/5 = 0?\nAnswer: -1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 18280976 or 54842926\/3?\nAnswer: 18280976","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + z = 11, 0*l - l - 2*z = -2. Suppose l*i - 78 = 246. What is the remainder when i is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 + 13*u + 8. Let y be c(-13). Let k(j) = -39*j + 72. Let z be k(2). Let d = z + y. Solve 2*r + 3*r + 25 = 5*v, -d*r = v - 5 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 92 - 92. Solve c = -d - 3 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 2*n**3 - 5*n**2 - 18*n + 1. What are the prime factors of a(9)?\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 88 + -89. Which is the second smallest value? (a) q (b) -5 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 31 and 5363?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 smaller than -41\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4130\/5400 + (-6)\/8. Let k(i) = i + 10. Let j be k(-7). Suppose 4*l = j*c + 8, -5*c + l - 4 = -l. Is c less than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 AM and 8:18 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 a factor of -11*3\/(-33)*(-8 - -17185)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -4*c. Let d be p(2). Let s = -2 - d. Suppose 4*k = -3*h + s*h + 27, 4*k = 5*h + 37. Put 2, h, -1 in decreasing order.\nAnswer: 2, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1620 and 194?\nAnswer: 157140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1607?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 476 - 100 = 2*p. Suppose -3*z = 3*k - 60, k - 4*z = 33 - 13. Let g = p - k. Calculate the highest common factor of 24 and g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iddddidiiddidd. Give prob of sequence dii.\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: c8458 (base 15) to base 10\nAnswer: 635483","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**2. Let f(k) = -5*k - 4. Let g(t) = 1. Let p(y) = -y - 3. Let q(i) = -13*g(i) - 6*p(i). Let n(l) = 5*f(l) + 4*q(l). What is d(n(z))?\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -263 + 308.3. Round p to the nearest integer.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the third derivative of 0*q - 4*q**2 + 0*q**3 + 8\/105*q**7 + 0*q**6 - 5\/12*q**4 + 0 + 0*q**5. Find the second derivative of i(m) wrt m.\nAnswer: 192*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-16)*(-411600)\/(-6174).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11444.14 decades to months.\nAnswer: 1373296.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2*r**3 - 88*r**2 + 21*r - 921. Determine n(44).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1470.960195 less than -4.2?\nAnswer: -1475.160195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.6, 10.8, 2, 6\/1165, -7\/3 in decreasing order.\nAnswer: 10.8, 2, 0.6, 6\/1165, -7\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 11.651 + 10.914\nAnswer: 22.565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2526\/24 - (-3)\/(-12). Let c = -50 + q. List the prime factors of c.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 268361433?\nAnswer: 3, 89, 335033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 PM and 2:33 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5823 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2400\/360*36\/10?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 19806568 to the nearest integer?\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vqvqvqqqvvqv. What is prob of picking 2 q and 2 v?\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 2)*(-114*v + 28*v - 3*v**2 + 1304 - 1303) - 2*v + 2*v + 2*v**2.\nAnswer: 5*v**2 + 86*v - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 4*p - 16. Suppose 3*z - 5 = -k + p, -z - 26 = -5*k. Let l be -4*-1*3\/k. Solve -5*u = -5*a + 25, -5*u - 11 = l*a - 0*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3306 - 3303. Let l(t) be the second derivative of 0 - y*t + 2\/15*t**6 - 1\/10*t**5 + 0*t**2 + 0*t**4 + 0*t**3 - 1\/21*t**7. Suppose l(x) = 0. Calculate x.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rbb when three letters picked without replacement from rbbbbbrrbr.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.09 + 1.09. Put -5, c, -0.3 in ascending order.\nAnswer: -5, -0.3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 5*(sqrt(396) - (sqrt(396) + 2 + sqrt(396))) + sqrt(396))**2 + ((1 + -2 + sqrt(396))*-2)**2.\nAnswer: 432*sqrt(11) + 8024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -0.3, 382, 4, -3 in descending order.\nAnswer: 382, 4, 0.1, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, h: 1, w: 2, z: 1, g: 1, b: 1}. What is prob of picking 1 a and 1 h?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, 0.27, 1, 9 in decreasing order.\nAnswer: 9, 1, 0.27, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 5:11 AM?\nAnswer: 6:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*m - 16 + 25 + m + 47.\nAnswer: m + 56","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve k**2\/3 + 273116*k\/3 - 1911959 = 0 for k.\nAnswer: -273137, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 1398404748?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3497)\/(-300742))\/(-2*2\/4)?\nAnswer: -1\/86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 2848 divide 310785588?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1259970)\/8)\/((-40)\/(-32) + -2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 8*o - 17. Let a(t) = -3*t + 6. Let d be (-1 + 3)\/(-2) + 3 + -2. Suppose 5*b + 37 + 18 = d. Give b*a(n) - 4*m(n).\nAnswer: n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.4700058 + -0.47. Round z to six decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-24))\/(((-3)\/164)\/(1\/(-4)*6))\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -861*m**3 + 10*m**2 - 803*m - 1.\nAnswer: -5166*m + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1390, -5700, -12880, -22936, -35874, -51700, -70420?\n\"Answer: -f**3 - 1429*f**2 - 16*f + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 286 + -129. Suppose 0 = -d - 3*r + 248, 873 - w = 3*d + 2*r. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + 10 + -21 - (-1 - 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4\/13, -36 in ascending order.\nAnswer: -36, -4\/13, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 41*r**2. Let p(m) = 22*m - 29. What is q(p(k))?\nAnswer: 19844*k**2 - 52316*k + 34481","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 63 and 56.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24349 and 104?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 160977964 to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 222, 21, 4.\nAnswer: 4, 21, 222","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 847.8117mg?\nAnswer: 847811700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + -6 - (-8 - (24 + -21) - 80)?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (4 - ((-4 - -1) + 17))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*t = 10 + 7 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -13*h + 112. Let q be u(6). Suppose -q*y + 106 = -98. Factor -25\/2*f**2 - 125\/2*f**3 + 20*f + y.\nAnswer: -(5*f - 3)*(5*f + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10395 - -61765. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34203 = -5*c + 1839*t - 1836*t, 0 = -5*c + 2*t + 34202. Is c a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 30 = -2*o, -26 = -2*o - 4*z + 3*z. Let k = -582 + 587. Let f = o + k. What are the prime factors of f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o - 3. Let u be m(7). Suppose -u*q + 4*t = -256, 2*q - 168 = 3*t - 38. Calculate the common denominator of (-4)\/(-12) - q\/60 and 37\/14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zznzbnbznzrznznx. Give prob of sequence bbxz.\nAnswer: 1\/3120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -120786 + 49643095\/411. What is the common denominator of u and -131\/24?\nAnswer: 3288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 331432 - 141421?\nAnswer: 140011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101 + 97 = 2*t. Let s be (6\/(-39))\/1 + 357\/39. What is the greatest common divisor of s and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -679 + 1994 = 5*r. Let w(c) = 5*c + r - 263. Let m = -1 + 2. Give w(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*a + 8 - 10 + 3 + (-5 + 1 + 2)*(a + a - 4*a) - a + a - 2*a.\nAnswer: 7*a + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 3*y. Let i(b) = -b. Let h(m) = 2*i(m) - 2*x(m). Let n(o) = -5517 + 2*o + 5517. Give -2*h(r) - 9*n(r).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 467*l + 17144 = 12339 - 16210 for l.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-2*(0 + sqrt(162)) + -1)**2 - (0 + (-6*2*sqrt(18) - (sqrt(18) - (sqrt(162)*1)**2))).\nAnswer: -105*sqrt(2) + 10207","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*p - 9. Let h be 1*p*117\/26. Suppose h = 3*d - a + 1, 3*a + 10 = 2*d. Let r(t) = 3*t**2 - 4*t + 3. Calculate r(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -180636*q + 180608*q - 420 = 0 for q.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 5, t: 3, w: 5}. Give prob of sequence tr.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - 2*g + 250, 0*n + 2*n - g = 169. What is the highest common factor of n and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + -13. Let q = f - -19. Is ((-1)\/q*242)\/(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -122 - 48*w + 18*w + 3*w**2 + 28*w - 6*w**2 + w**2 in the form y + m*w**2 + c*w and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 24*q + 18 + 30 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32\/3312*46)\/(4\/(-21)).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 76\/(-3)*1389\/1852?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.00775585 - -0.00784. What is d rounded to 5 dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -17*s - 3. Let x be o(-1). Suppose x = 2*i + 5*i. Suppose 156 = 8*y - i*y. What is the highest common divisor of y and 156?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.02, 0, 5\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 3 a when four letters picked without replacement from {m: 4, q: 5, c: 7, a: 3}?\nAnswer: 7\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z - 4 = -8*z. Suppose z*m + 15 = 5*m, 7921 = 4*l + 5*m. What is the tens digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 6:13 AM?\nAnswer: 4:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2330\/957 + 22\/87. Which is smaller: -9 or r?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - k = v - 11, 4*v + 3*k = 21. Suppose -v*j + 3*j = -30. What is the greatest common factor of j and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in ten thirds of a year?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/21 + (-164)\/14. Let x = v + 17. Let n = 2.11014 - 0.11014. Sort -1\/11, n, -0.2, x in decreasing order.\nAnswer: x, n, -1\/11, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*z + 142*o - 68 = 143*o, -3*o = 5*z + 50 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = -y - 4*y - 20, 2*y = 5*l - 5 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*b**3*c**3 - 114349*b**3 + 19*b**2*c**3 - 21*b**2*c**2 - 4*c**2 wrt b.\nAnswer: -12*c**3 - 686094","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4422900?\nAnswer: 2, 3, 5, 23, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 2590477743?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 2*a = 5 - 3, -2*t - 4*a - 12 = 0. Let f(x) = -x + 8. Let q be f(t). Let n be 66\/q + (-4 - (-44)\/10). Solve -6*m = -n*m + 1 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*p**2 - 14*p**2 + 7*p**2 + 5)*(7*p + 4*p - 3*p).\nAnswer: -8*p**3 + 40*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 - 2*h - 19. Let j be o(-6). Suppose 31*w - 176 = j*w. What is the remainder when w is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + 63273?\nAnswer: 63278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 88\/5, 5\/26, -2\/97, 2\/5 in increasing order.\nAnswer: -2\/97, 5\/26, 2\/5, 88\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 15 = -0. Let i = 11 - t. What is the remainder when 80 is divided by (-106)\/i - (-3)\/6?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, j: 1, q: 1, o: 1}. Give prob of picking 1 j, 1 q, and 2 h.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 14*z**2 - 509*z + 3. Determine b(2).\nAnswer: -959","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/43 in -0.1, 3\/4, 0?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -234 - -234.00605. Round o to four decimal places.\nAnswer: 0.0061","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i + 2 - 2)*(3 - 61 + 15)*(89 - 166 + 80)*(-2 + 6 - 2).\nAnswer: -258*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -51154 - -18.1253\nAnswer: -51135.8747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -222*q + 22. Calculate u(1).\nAnswer: -200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 4:40 PM?\nAnswer: 7:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*y - 2*y - y - 2*y + y.\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18094 by -1977.\nAnswer: -18094\/1977","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 550 + -549. Sort g, -4, -9 in ascending order.\nAnswer: -9, -4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qumququqjuuuujuu. Give prob of picking 1 j and 1 q.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 821 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/(z\/(z**(-3\/2)*z)))**(-3\/5)\/((z\/(z**(4\/9)\/z))\/z**(1\/3)) assuming z is positive.\nAnswer: z**(-137\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 29 = 3*g + 2*t, 0 = 4*g - 3*t - 39. Suppose g*b - 1058190 = 1524810. Round b to the nearest 10000.\nAnswer: 290000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1206.\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**2\/5 + 204552*a + 13296387\/5.\nAnswer: -3*(a - 340933)*(a + 13)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 + 6.9932. Round y to three decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -5*a + 86, 49*m + a = 44*m - 188. Are m and -9\/2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 + 8*s + 4. Let w be k(-8). Let y = w - 2. Solve g = 3 - y for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3927*f - 2014 = -7977*f + 3997*f for f.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-2)\/(-4)*-1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*y**3 + 7*y**4 + 2*y + y + 1 + 6*y**4 - 11 + 14*y**3 to i*y + p + z*y**4 + t*y**2 + w*y**3 and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.06 + -3.94. Let t = -10 - -22. Let s be (-32)\/(-66) - 8\/t. Put 2, s, w in increasing order.\nAnswer: w, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 743 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15865989 to the nearest integer?\nAnswer: 3983","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*u**2 - 57*u + 80*u + 39*u - 62*u.\nAnswer: -22*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14433 to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-40)\/60)\/(1\/(-6))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1374\/18 + 7 + (-2)\/(-3). Let f = 120 - s. Let v(a) = 3*a**3 - a**2 + a + 2. Let u be v(2). Calculate the greatest common divisor of f and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m = -4, 2*b = -m - 7 - 1 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 66844020 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 783069641 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*f**2 - 5*f**2 - 14*f**2 - 15*f**2 to the form t*f + b*f**2 + i and give b.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84 = 4*k + p - 2*p - 20, -4*p - 1139 = 77*k for k.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4724 by -1181.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -625*n + 10017. What is i(16)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 + (5 - 12) + -6 + 12 + -2 + -2?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 8*r = -7*r - 454, -914 = -2*c - 5*r. Suppose -4 = c*b - 453*b. Solve -4*a + 2*n = -10 - 10, b*n = -5*a + 25 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 1595 + 55*y**2 - 3184 + 1593. Let n(p) = 3*p. Give h(n(f)).\nAnswer: 495*f**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45\/(-6)*-2*8\/(-384)*-16.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -22447 in -3\/4, -3, 0.09?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.23 - 3.23. Which is the smallest value? (a) -1\/4 (b) w (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37474864 to the power of 1\/4, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24 - -24.3. Sort 0.1, -0.3, w in decreasing order.\nAnswer: w, 0.1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243646526 to the power of 1\/4, to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - 0 - 15, -2*o - s = -1. Let a be (4\/10)\/((-1)\/(-5)). Differentiate o - 2*j**2 + 0*j**a - 2 wrt j.\nAnswer: -4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 44560271?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4254, 3, 0, -4, -2.\nAnswer: -5, -4, -2, 0, 3, 4254","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in ninety-one quarters of a hour?\nAnswer: 81900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58 divided by -868035.\nAnswer: 58\/868035","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2*d. Let f be ((-2)\/(-5))\/((-11)\/(-55)). Let y(n) = -1 + 1 + 4*n**f. What is l(y(c))?\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 4*x = 4 + 28, -8 = -a - 5*x. Let k(j) = -j - 2. Suppose -18 = -3*h + 6*h. Let n be k(h). What is the greatest common divisor of n and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 11) to base 3\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 63\/(-105) - 34\/10. Let d(v) = -7*v**3 - 5*v**2 + 5*v + 4. Let s(r) = -6*r**3 - 4*r**2 + 4*r + 3. Determine x*d(t) + 5*s(t).\nAnswer: -2*t**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 529*r*w**2 - 3*r*w + w**2 + 43 wrt r.\nAnswer: 529*w**2 - 3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 10 = 4*l - 3, 0 = -l - 3*w + 12. Which is the biggest value? (a) l (b) -21 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 - 6*n**2 - 7*n + 5. Let x be h(7). Find the third derivative of 5*f**2 + 0*f**3 + 3*f**3 + x*f**3 + 0*f**3 wrt f.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 120\/100*20\/6. Suppose -o*i - 27 = -3. Let w(h) = h**3 + 7*h**2 + 8*h + 4. What is w(i)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9276432 and 198.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 - 7. Suppose 22*o - 9*o = -o + 210. What is the highest common factor of g and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 154872 and 20552088.\nAnswer: 5736","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 3 y when four letters picked without replacement from ydyddddydddddddd?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 19832168 divided by 8108?\nAnswer: 2446","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*y + 20, p - 5*p - 2*y + 4 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 19486 + 54*f**2 - 139*f**2 + 1930 + 87*f**2 - 1815 as y*f**2 + z*f + d and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 146\/4 - (3\/(-6))\/(-1). Let w = -33 + i. Suppose 55 = 5*p + 3*g, w*p - 3*g - 33 = -5*g. Calculate the remainder when 21 is divided by p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, -0.022, 1375 in descending order.\nAnswer: 1375, 1, -0.022, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 42924.58 litres?\nAnswer: 42924580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1463331762?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of -371*g**2 + 924*g + 762. What is the derivative of x(p) wrt p?\nAnswer: -742","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/(z*z**(-3\/4)))*z**(-2))\/(z**(-3\/11)\/(z**(-1)\/z)))**(-8\/7) assuming z is positive.\nAnswer: z**(306\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -3, -16, 2, 1179 in increasing order.\nAnswer: -16, -3, 2, 6, 1179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7)*3*1 + (sqrt(7) + 1)*-3 + (-5*(sqrt(448) + (sqrt(448)*-1 - sqrt(448))) - sqrt(448))**2 + 2.\nAnswer: 7167","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7317 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 5 + 25 = 0. Suppose -14*q - 2*q = -15*q. Solve -i = -q*k - 4*k + 14, 5*i + z*k - 26 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a - 61 + 61 + 12*a**2 + (-a + 4*a - a)*(2*a - 5*a + a).\nAnswer: 8*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 + 18 + -44 + 50 + 0 + 4?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1443139 - -1443265.0102. Let i = 126 - q. Let o = -0.009761 - i. Round o to four dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -3*f**2 - 38*f - 4. What are the prime factors of o(-9)?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4225 divided by -748?\nAnswer: 4225\/748","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.33, 1\/5, 42?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-567)\/(-162)*(-2)\/(-1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**2\/w)\/((w\/(w*w**(-1)*w))\/w))\/(w*w**(2\/11)*w*(w**6\/w)\/w)*(w**(-2)*w**(4\/7))**(-17) assuming w is positive.\nAnswer: w**(1548\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39419 - 27557 = -659*t for t.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3939808*r**3 - 27489*r**2 - 23*r?\nAnswer: -23638848","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10779 - 4773. Suppose -111*k + 98*k + i = 0. What are the prime factors of k?\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.525 take away -361.665786?\nAnswer: 350.140786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 78 - 184 = 4*n, 3*o - 6 = 0. Let w be n\/1380 + 4\/10. Let y = -3\/23 + w. Is y > 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 AM and 12:34 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + 75?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(396))**2 + 2 + 2*sqrt(396)*-3.\nAnswer: -48*sqrt(11) + 399","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 60666, 76065, 91464, 106863, 122262?\nAnswer: 137661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x. Let n(t) be the first derivative of -t**2 + 5. Let l(w) = 4*m(w) + 3*n(w). Let c(q) = -2*q. Give l(c(p)).\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -263 + 259.54. Let i = d - -2.9. What is i rounded to one decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 - 16*z - 5. Let f be p(15). Let h be ((-9)\/6)\/((-5)\/f). Which is smaller: -45\/8 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2581007573 to the nearest integer?\nAnswer: 1372","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1.3, -2, -1.8 in increasing order.\nAnswer: -2, -1.8, 1.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f + 0*f - 3*f)*(-f**3 - f**4 + f**3) + 15*f**5 + 4*f**5 + 24*f**5 + (0*f**2 - 2*f**2 + f**4 + f**4)*(-3 + f + 3).\nAnswer: 46*f**5 - 2*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (4*(sqrt(1584) + -3 + sqrt(1584)*-4))**2 + ((2 + sqrt(1584))*-1 - ((sqrt(1584) + 1)**2*4 - sqrt(1584))).\nAnswer: 3360*sqrt(11) + 221903","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of j**5 - 2*j**4 - 949936*j**3 - 11971804*j**2 wrt j?\nAnswer: 60*j**2 - 48*j - 5699616","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-2412)\/10350 + 6\/(-69))\/(1 + 705\/(-675))\nAnswer: 36\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 157 and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -647, 0.018, -0.4, -2\/13, 4\/3, 2?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 297 by -46995.\nAnswer: -99\/15665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 12*a - 107*a**2 - 2 + 12*a to s + w*a**2 + n*a and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -3\/8 (c) -39 (d) 1 (e) -2\/7 (f) -1.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(156)*2*1)\/(sqrt(96)\/sqrt(2)) - 3*(sqrt(1872) - (1 + sqrt(1872))**2*-5 - sqrt(1872))).\nAnswer: 1795*sqrt(13) + 140475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-51)\/(-85) - (-516)\/(-10). Let v = f - -55. Suppose v*m - 8 = 2*m. Are m and 3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3\/307 - -22089\/1535. Let y = 638\/45 - a. Sort y, -5, -1\/9 in decreasing order.\nAnswer: -1\/9, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + k = -5, -w + 4 + 11 = -3*k. Solve w = -5*b + 9*b - 8 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*h = -31*h + 11*h. Solve -6*f - 8 - 16 = h for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 285834904.\nAnswer: 2, 29, 947, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 344150772?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of y**7\/840 - 7*y**6\/360 - y**5\/40 - 5*y**4\/24 + 40*y**3 - 176*y. Let x(o) be the second derivative of t(o). Give x(8).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1\/7918 - -15819\/134606. Suppose 0 = -2*u + 6*u. What is the closest to u in z, -0.9, 3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3438731154?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 - 14*m - 484. Determine q(31).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from znjzzjfqzqxq. Give prob of sequence xzzf.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.006 times -560.7?\nAnswer: -3.3642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/408 and (-183)\/16*144\/2376.\nAnswer: 4488","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1428311 and 407.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -f**2*j**2 - 140*f**2 - 6637*f - 360125*j**2 wrt j?\nAnswer: -2*f**2*j - 720250*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a. Let b(f) = -f**3 + 12*f**2 + 12*f + 8. Let c be b(13). Let d(g) = g. Give c*d(o) - 2*t(o).\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -1224030 greater than or equal to -1224050?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5 + 0 + 103\/(-21). Let l be (-75)\/(-40)*(-16)\/(-12). What is the second smallest value in 3, g, -2, l?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -316, -105, 330, 1103, 2328?\nAnswer: 4119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -41*o**5 + 4*o**3 + 122*o**2.\nAnswer: -2460*o**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.04 - -5.96. Let h = -1.1 - 6.9. Let v = h + t. Which is the second biggest value? (a) v (b) -3 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -11\/79351 and -14 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 56818, 113638, 170460, 227284?\n\"Answer: q**2 + 56817*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -109 + 75. Let h be m\/(-4 + (-248)\/(-60)). Let d = h - -370. Is d a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l**(-2\/7)*l))\/l*l*l**(1\/12))**(2\/13))**(-45) assuming l is positive.\nAnswer: l**(-465\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 11 + 2 = 0. Suppose -4*r = -p*r - 4. Let z = -8\/59 + -298\/413. Which is the nearest to 1\/2? (a) r (b) z (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1608?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3358.1 + -3358. Which is the biggest value? (a) h (b) -4 (c) -1 (d) -0.3 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 609 - 167.04. What is s rounded to zero dps?\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m = -6797 - -6827. Solve -m = -28*i + 33*i for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -165.707+11024407\nAnswer: 11024241.293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 775360654 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3. Let m(b) = b**3 - 2*b - 17*b**2 + 11 + 2 - 5*b**3 + 0*b. Let p(a) = -m(a) + 5*t(a). Find the second derivative of p(o) wrt o.\nAnswer: -6*o + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2444 and 3276?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 + 10*x + 12. Let c be i(-8). Let p be (c + 2)*(-1 - 0). Solve 2 = -u - p for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -26 + 25.83. Let v = c - 77.83. Let d = 77.949 + v. Round d to two decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 493, 520, 569, 652, 781, 968?\nAnswer: 1225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -63\/8080 and -45\/64?\nAnswer: 32320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 + 7*v**2 + 9*v + 5. Let f(a) = a**3 - 8*a**2 - 10*a - 6. Let z(p) = -3*b(p) - 2*f(p). Let r(j) = 2*j - 6. Let g be r(6). Calculate z(g).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(3 + sqrt(44)\/sqrt(4))*4 - (sqrt(176)*-3 + -2*sqrt(1331) + 0).\nAnswer: -60 + 14*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 397, 340, 271, 190?\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2*u. Let l(c) = -4*c**2 + 6*c**2 + c**2. What is s(l(g))?\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = -3*s - 8, 0 = 6*s - 4*s - 2*q + 6 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -115*m - m**5 - 5 - 1 + 113*m + (2*m**2 - 3*m**2 + 3*m**2)*(0*m**3 + m**3 + 0*m**3).\nAnswer: m**5 - 2*m - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -82740.07 from 3401766.\nAnswer: 3484506.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.995315 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 305*l**3 + 1235*l**2 + 39*l + 117. Calculate d(-4).\nAnswer: 201","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -103 + 99. Let p be m*(105\/(-28) + 3). Solve -20 = 5*h - 5*d, 0 = p*h - 0*h - 4*d + 16 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffsffsfff. What is prob of sequence sff?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + g + 5*d + 3 = 0, 4*g = 2*d - 24. Let z(a) be the first derivative of -1\/4*a**4 + a - 4*a**2 - 8\/3*a**3 + 18. Calculate z(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -0.2, -4, 0, 4.6 in descending order.\nAnswer: 5, 4.6, 0, -0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 0*y + 10 = 0. Suppose 0 = 4*c - 5*c + y. What is the nearest to -1 in -5, 1, c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8726573 millennia in decades?\nAnswer: 87.26573","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -22 - -4?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 836 - 23*y + 559 - 7*y**2 + 21*y - 25*y + 9*y**2.\nAnswer: 2*y**2 - 27*y + 1395","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/14 - 32950\/(-4613)*(-3 - -1).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*n - 2*n + 2*n + (-4 + 2 + 1)*(0*n + 3*n - n) + 2*n + 0*n - 4*n - 2*n + 10*n + 21*n.\nAnswer: 28*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2*i**2 + 27*i + 74. Let s be o(-10). Suppose s*b = -17 + 37. Let w be (-4)\/(1\/2*-2). Solve -4*n + 2 = -b*v, 0*n + n = -w*v - 10 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 2*s - 3. Let v(k) = k + 3. Let n be v(-6). Let w(u) = -8*u + 11 + 13 - 20 + 8*u - 2*u. Determine n*w(o) - 4*p(o).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/7 (b) 2 (c) 1245 (d) 70 (e) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -121588017*u**4 - 7849603*u**2 - 2*u - 1 wrt u?\nAnswer: -2918112408*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbbbfbbbbf. Give prob of sequence bff.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -1568\/11 + 278\/11*d**2 - 3808\/11*d - 5\/11*d**3 = 0. Calculate d.\nAnswer: -2\/5, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (180\/27*21\/56)\/(150\/36)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of 0*m**3 + 0 + 1\/12*m**4 + 0*m - 15*m**2. Let y(u) = u. Give y(g(c)).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-60)*4\/(-2)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*t**4 + 656*t**3 - 917*t**2.\nAnswer: 72*t + 3936","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(68)\/sqrt(4) + -1)**2.\nAnswer: -2*sqrt(17) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 42226\/11837 - -7\/1691. Factor w - 10\/7*v + 1\/7*v**2.\nAnswer: (v - 5)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-2\/5)*u*u*u\/((u**(-8\/5)\/u)\/u)*u)\/(u**(3\/7)\/u**(-9\/5)))**(-1\/7) assuming u is positive.\nAnswer: u**(-209\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 - g**2 + 16*g + 32. Let k be p(-4). Solve k = f + 11 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47699 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of 11*d**2\/2 - 6*d - 5. Find the first derivative of j(b) wrt b.\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 289140653 or 289140654?\nAnswer: 289140653","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = a + 27. Let h be 477\/(-5) - 0\/2. Let n = h - a. What is the second biggest value in 0.7, n, 5?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r - r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 549, 1104, 1665, 2232, 2805, 3384?\n\"Answer: 3*n**2 + 546*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n**4 - 4*n**4 + 3*n**4 + (-1373*n + 1373*n + 770*n**4)*(2 + 0 - 1).\nAnswer: 771*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/3595733 and 24\/49?\nAnswer: 176190917","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a millennium in centuries?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 5. Suppose -5*k + 0 + 12 = y*o, -3*k - 5*o = 8. List the prime factors of (-132)\/8*k\/(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 279 divide 123039?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101110 - 10100001001010100000?\nAnswer: -10100001001001110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 18924?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/12, -2\/143, 2\/93 in descending order.\nAnswer: 2\/93, -2\/143, -1\/12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**4\/2 + 50*q**3 + 667*q**2\/2 + 750*q + 558.\nAnswer: (q + 2)**2*(q + 3)*(q + 93)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 5:56 AM?\nAnswer: 10:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21 (base 6) to base 11.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 663 = t - 4*n, -n = t + 3*t - 2737. Let x = t - 688. Which is the third biggest value? (a) 5 (b) 157 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 AM and 9:25 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/(h*h**12\/h)*h*(h\/(h*h**11\/h))\/h*h*h)**(-30) assuming h is positive.\nAnswer: h**540","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-1 - (-8 + 4)) + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 339318348 >= 339318351?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 8*h - 182 = j, -h - 26 = -104269*j + 104266*j for h.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 136\/48 + 3\/1*-1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101.228292ns in days?\nAnswer: 0.00000000000117162375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 315, 3055, 10553, 25185, 49327, 85355, 135645, 202573?\n\"Answer: 396*q**3 + 3*q**2 - 41*q - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1232.4 + 4364901.\nAnswer: 4366133.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(-2)*(-16)\/36. Let b = -2 + 0. Let k(h) = -h**3 + 6*h**2 + 6*h + 10. Let m be k(7). What is the closest to s in b, -1, m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 1042994146562\nAnswer: 1042994146560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-2\/41)*r\/r**(1\/2)*((r\/(r\/r**(2\/3)))\/r)**(-1\/20) assuming r is positive.\nAnswer: r**(1151\/2460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1075 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 164 + (-68 - -10) - -26?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 3:34 AM?\nAnswer: 4:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 7, e: 3}. What is prob of sequence ue?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**2 + 3 - 3)*((3*t**2 - t**2 - 4*t**2)*(0*t + 4*t - 3*t) - 3*t**3 - t**2 + t**2).\nAnswer: 5*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4 - -1) + -4 - (-3 - 1). What is the fourth biggest value in -24, -3, q, 1\/9?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 39 in -1\/2, -5, -2446, 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 79 + 27 = 0. Let g = -9 - -5. List the prime factors of 3\/2 - m\/g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 33\/5 of a hour?\nAnswer: 23760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-9)\/16*-2)\/((-120)\/(-40)). Sort -0.1, 0.289, f.\nAnswer: -0.1, 0.289, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 286514 is divided by 31827?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 398 divide 18038?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43600 - 652*k**2 - 667*k**2 + 1301*k**2 + 87207 - 43607.\nAnswer: -18*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by -16\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9834)\/(-5811)*(-1)\/((-4)\/52)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -73 - -75. Is h at most as big as -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2*n + 1. Give j(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(189)\/sqrt(3) + -4)**2 + -3.\nAnswer: -24*sqrt(7) + 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a - 39*l + 34*l + 13461, -5*a + 16785 = -2*l. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2668 or -2667?\nAnswer: -2668","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(275) + 1 + -1 + sqrt(891))*1 - -3*(sqrt(1331) + sqrt(1331) + 2 - 4*(sqrt(11) + -2)))**2.\nAnswer: 4080*sqrt(11) + 51764","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002 to six decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -54758 * -2\nAnswer: 109516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1377) - (sqrt(1377) + -4))**2*4 + -2 + sqrt(1377) + -4.\nAnswer: 9*sqrt(17) + 58","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 4*l = -r - 6, -r - 5*l = -26. Find the third derivative of -2*g**2 + g**6 - 3*g**4 + 3*g**4 - 4*g**r wrt g.\nAnswer: -360*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 3090?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j*j**(1\/10)\/j)\/j)\/(j\/(j\/j**5)*j))**(16\/7))**(8\/5) assuming j is positive.\nAnswer: j**(-4416\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 209.22 - 207. Let v = -1.92 + y. Which is the third biggest value? (a) 43 (b) 0.1 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 30417.171 to the nearest ten.\nAnswer: 30420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -531219 by 12.\nAnswer: -177073\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 7\/(7 - 22920\/3276)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -5*j + 4. Suppose -18 = -923*l + 920*l. What is the greatest common factor of j and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2685550 and 742.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 + 197*a - 1207. Determine h(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1052?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 2*h - 16 = 0. Let l be (-1)\/2 + (-2)\/h. Let w be 13 + -11 - (-2 - l). Solve u = -x - 4, w*u - 5*x = u + 6 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-55912)\/(-696) - 80)*((-2)\/4 + 569\/(-2)).\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 20 = -16. Suppose 3*o - s = 6*o + 5*y, 35 = -4*o - 3*y. Let b = 13 + o. Solve -3*h = -b*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/4 (b) -1\/11 (c) 5 (d) 2930 (e) -1\/12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5311 + 472. List the prime factors of n.\nAnswer: 5783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29 - 24. Suppose x = -y*t + 395, 4*t + 2*x = -0*x + 322. List the prime factors of t.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (-2 + -7 - (3 - 9))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-308)\/429)\/((-12)\/2*(-164)\/(-4428)).\nAnswer: 42\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*y - 0. Suppose 0*z - y*z = -14. Suppose z*f**3 + 2*f**3 + f + f - 11*f**2 = 0. What is f?\nAnswer: 0, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3078755\/27 - -114030. Calculate the common denominator of b and (14\/(-30))\/((-3)\/(-6)).\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7554883, -7554882, -7554887, -7554904, -7554939, -7554998, -7555087, -7555212?\nAnswer: -7555379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/11, -3\/4, 0.1, -0.312?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109 + 346 = -91*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 56*f**3 + 7*f**2 + 24*f - 22. Calculate q(1).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -56*c**4 + 17*c + 5625 wrt c.\nAnswer: -224*c**3 + 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -9958 divided by 10635?\nAnswer: -9958\/10635","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7727\/2340 + -1\/468. Let k = 3\/47 - -323\/94. Let j = x - k. What is the biggest value in -0.5, j, -3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z = 2*z + 15, -3*t + 4*z = -39. What is the greatest common factor of 119 and t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 1. Let s(o) = o**2 + 8*o + 6. Let k(n) = -3*l(n) + s(n). Let y = -31 + 33. Suppose y*p - 2 = 2*g - 26, -5*p + 2*g - 48 = 0. What is k(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 + -10. Suppose 10 = -3*l - o. What is the tens digit of l\/18 + 685\/45?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*l + 23 = 2*v + 65*l, 4*l + 4 = -2*v. Solve 6*b = 9*b + h + 1, -4*b = -v*h + 12 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 606220007 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1056 equal to 0.0492?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2137*w**3*y + w**3 - 28*w**2*y + 16*w*y wrt w?\nAnswer: -12822*y + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10872 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -19, 352239 in decreasing order.\nAnswer: 352239, -1, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 5*o = 34, 5*o - 4*o + 14 = l. Determine n so that -4*n**3 - l*n - 3 + 1 - 12*n**2 - 2 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -22 - 78a?\nAnswer: -801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a micrometer in nanometers?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 390\/25 - (-4)\/10. Suppose 0 = 5*n + 4*s + h, -5*n - 4*s - s = 20. Solve n = -l + 2*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k\/(k*k**19\/k*k*k)*k)\/k**(5\/2))**(-4\/9))**(3\/8) assuming k is positive.\nAnswer: k**(41\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - 9*v**5 - 113*v**3 - 1506430*v + 1506430*v - v**2 + (v - v + v)*(-v**4 + 2*v**4 + v**4).\nAnswer: -7*v**5 - 113*v**3 - v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*q**2 + 18*q**3 - 25*q**2 - 105*q**2.\nAnswer: 18*q**3 - 179*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 29626 (b) 2\/9 (c) 0.1 (d) 0.4 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*f**2 + 57*f + 102 = 0. Calculate f.\nAnswer: -17, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3 (b) -5 (c) 2 (d) -153.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1498 (b) 6\/7 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -938, -1848, -2726, -3572, -4386, -5168, -5918?\n\"Answer: 16*v**2 - 958*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -3*v - 1. Let x be p(-1). Suppose 0 = -x*i - 5*a - 16, i - 5*a - 24 = -i. What is the highest common divisor of 3 and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-6)\/v**(4\/9))\/(v**3\/(v\/(v*v\/v**4)*v)) assuming v is positive.\nAnswer: v**(-49\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w**2 - 9780*w - 338625 = 0.\nAnswer: -3225, -35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b - -9c?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 9 = 7*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - -4. What is the second smallest value in 2\/11, a, -0.2, -0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*d**2*x**2 + 12444*d**2*x + d**2 + 10*d + x**2 + 267 wrt x?\nAnswer: -4*d**2*x + 12444*d**2 + 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 + -6. Let h be (-3)\/(-2)*(-112)\/j. What is the greatest common divisor of h and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d**(-9))\/d**(2\/9))\/(d**(-1\/2)\/d)**(-2\/75))**(-11\/7) assuming d is positive.\nAnswer: d**(20449\/1575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 354*x - 419 - 1499 = 867*x + 134 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 45922915 to the nearest integer?\nAnswer: 358","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 - p**2 - 2*p. Let j(s) = -9*s**3 - 9*s**2 - 15*s. Suppose -4*b = -8*b - 4. Let i be -8 + 1 + (2 - b). Let g(l) = i*j(l) + 33*t(l). Factor g(d).\nAnswer: 3*d*(d - 1)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.27583482895 + 52.\nAnswer: 52.27583482895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -7, -5, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 divided by -21?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1149.\nAnswer: 3, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4050?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of -v**8\/560 - v**6\/360 - v**3\/3 + 4. Let w(g) be the third derivative of z(g). Find the third derivative of w(r) wrt r.\nAnswer: -72*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 4*l + 93 = -2*f, 0 = -l - 4*f + 45. Suppose 28056 = 16*y + 26*y. Let q = y + -667. Calculate the least common multiple of l and q.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 11*g + 3 = 10, 208*q - 2*g + 3*g = 207*q - 11 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -3 - 2. Let d = -13 + 12.8. Sort z, 2, d in increasing order.\nAnswer: d, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17 * 9201.\nAnswer: -156417","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-19))**(-19\/6)\/((((z*z\/(z\/(z*z**(-9))))\/z*z)\/z)\/z)**29 assuming z is positive.\nAnswer: z**(1927\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -60357000 rounded to the nearest 1000000?\nAnswer: -60000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 32.1 - 32. Which is the closest to z? (a) 5 (b) -3 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20 is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2612595 divided by -1.\nAnswer: -2612595","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/2 of a microgram in nanograms?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6 - 10625b1?\nAnswer: -10625b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 183 - 150. What is the remainder when 229 is divided by q?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 AM and 7:12 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 2. Let l(r) = r - 1. Let c(w) = -3*l(w) - u(w). Calculate c(-5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35517487 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-43)\/(903\/(-231))*7\/(35\/(-15)).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55865?\nAnswer: 5, 11173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*a = 288 - 99 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1203 - -196. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*y - 24 = 2*s + 2*s - 72*y, 2*s + 16*y + 21 = 17*y for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-2)*16\/(-2). Suppose -3*i = c + 9, 2*i = c + k*i + 5. Suppose 5 = -0*g + g. Solve c*b - g = -2 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 110 divide 1374748?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 206949 is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 35060 to the nearest one hundred.\nAnswer: 35100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of -127*p**6\/60 + 37*p**3 + 150*p**2. What is the derivative of r(u) wrt u?\nAnswer: -762*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00056077318 to 5 dps.\nAnswer: 0.00056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 787 = y, 3*w + 2 = -4. Let v = y - -1476. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*r**5 + r**5 - r**5 + 11 + 4*r**2 + r**5 - 9 - 4 + (2*r**3 - 2*r**3 - 3*r**3)*(-5*r**2 + 0*r**2 + 3*r**2).\nAnswer: 14*r**5 + 4*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 9022.812059 to the nearest one hundred.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j. Let z(v) be the third derivative of 7*v**5\/60 + 29*v**3\/6 + 407*v**2. What is z(b(q))?\nAnswer: 7*q**2 + 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1535 and 1952213.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 AM and 9:54 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaii when four letters picked without replacement from yaaljlrjirirri?\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - -14.3. Let t = 15 - k. Put 4, t, -2\/13 in descending order.\nAnswer: 4, -2\/13, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 35206023 to the nearest integer?\nAnswer: 5933","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -35 + 27 + 13 - 2*w + 14 to the form c + y*w and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3\/10, 8, -4?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 249 is divided by 63?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*r - 3*r + 0*r)*(5 - 4 + 0) - 2*r - 2 + 2 + (-2*r + 3 - 3)*(2 + 1 - 1) to b*r + z and give b.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53625 is divided by 106?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-18) - (-14008)\/306. Which is smaller: r or 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 15*i = 13*i - 598, -4*z + 2436 = 3*i. What is the tens digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -6*n**2. Let y be 7 - (-4)\/(-8)*-4. Suppose 0*a - a = -y. Let i(p) = 3*p**2. Let o(h) = a*i(h) + 4*r(h). Let f(u) = -4*u**2. Calculate f(o(t)).\nAnswer: -36*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55 = 14*t + 13 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) -7 (c) -1\/22 (d) 2\/9 (e) -1\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qzz when three letters picked without replacement from {q: 2, y: 9, z: 2}?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -72 - -129. Calculate the remainder when w is divided by ((-150)\/120)\/(2\/(-32)).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v + 0*v - 3*v)*(-3 + 3 + 2) + 1138*v + 1113*v - 2605*v + (0 + 0 - 2)*(5*v + v + 4*v).\nAnswer: -376*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -199 - 1263*l - 171*l - 1895*l.\nAnswer: -3329*l - 199","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103*h**2 + 6*h + 99*h**2 - 6*h.\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.859207kg to tonnes.\nAnswer: 0.003859207","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -449, -463, -475, -485, -493, -499, -503?\nAnswer: -505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/6347 (b) -0.3 (c) 3\/2 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 888861.4um in centimeters?\nAnswer: 88.88614","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 7 - 5 = 0. Suppose -8*r - 79 = -3*l - 3*r, r = 1. Suppose g*s = w + l, 0 = -s - 4*w + 29 - 11. List the prime factors of s.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2571, -2805, -3029, -3243?\n\"Answer: 5*c**2 - 249*c - 2327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93 = -28*l + 31*l. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6652 divided by 1882\nAnswer: -3326\/941","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, a: 11}. Give prob of sequence aja.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 13994 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 57942, 57944, 57946, 57948, 57950?\nAnswer: 57952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of -3*c**5\/20 - c**4\/2 - c**3\/2 + 2*c. Factor z(t).\nAnswer: -3*t*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3202\/5 - 640. Let t be (-4)\/(-6)*(-6)\/8. Let z be (2 + 0)\/(6\/15). What is the nearest to t in -8, d, z?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59048 to the power of 1\/2, to the nearest integer?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6 and 87.\nAnswer: -522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -1 - 2. Suppose 4*m = 4*x, 2*m - x - 8 = -p*x. Which is the second smallest value? (a) 0.4 (b) -3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(-5) + 94\/10. Let b = -5 + x. Solve -2*r + 4*f = 8, -b*r + 2*f = 5 + 15 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 315 = -5*j. Suppose 0 = -14*q + 109 + j. Sort 3, q, -5, 5.\nAnswer: -5, 3, 5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mrdm when four letters picked without replacement from rrmnmrdmrrdnmnrrmdm.\nAnswer: 35\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -224*j + 24*j**2 + 222*j + 135*j**2.\nAnswer: 159*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 980 and 80?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 0.1 (b) -0.7 (c) -7682\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j**2 - j - 5. Let a be i(-5). Suppose 5*k - a = -0*k. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 29.063 + -0.063. Let x = m + -28.8. Which is bigger: 3\/4 or x?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3\/3 + 344*g**2\/3 - 7760*g\/3 + 25600\/3.\nAnswer: -(g - 320)*(g - 20)*(g - 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1042, -2008, -2970, -3934, -4906, -5892?\nAnswer: -6898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - -9 - (-1 + 4) - -7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, v: 1, g: 7, r: 4}. What is prob of picking 1 m and 1 r?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8617130?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (329 + 358 - 787)*(0 + 3 - 1)*(-1 - 26*p + 1) in the form l + u*p and give u.\nAnswer: 5200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 18 = s, -2 = 3*s + 2*o - 1. Suppose -115 = -s*l + 8*l. Let i = 25 + l. Solve 4*v - 20 = 0, -2*j + 3*j + i*v = 14 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -365692.423 rounded to the nearest 10?\nAnswer: -365690","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)\/(3*sqrt(147)) - (sqrt(480)\/sqrt(6) + (sqrt(5) - sqrt(15)\/sqrt(48))))**2.\nAnswer: 780125\/7056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -9*l**2 - 91*l + 381. Let d be h(4). What is the closest to d in -0.4, 1, 0.3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in six fifths of a meter?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-386 + -3 - -2) + -3. Let b be r\/7 + -4 + 52\/14. Let l = -38 - b. Solve l = -2*a + 5*f - f, 6 = a + 3*f for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -163? (a) 1\/36 (b) -4 (c) 0.2 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 103*c. Let q(m) = -2*m**2. What is v(q(b))?\nAnswer: -206*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -9*q + 194. Let p be w(11). Suppose -22*a + p = -103. Calculate the highest common divisor of 9 and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 4 = -q, 5*o + 11 = -q. What is the closest to 0 in o, 0, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o - o + 4*o)*(-2*o - o - 24935 + 24933 + 8*o**2).\nAnswer: 16*o**3 - 6*o**2 - 4*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 132324217 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 39 - 24. What are the prime factors of o?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 e when three letters picked without replacement from feffffdefdfdccdde.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -38303, -80035, -121765, -163493, -205219, -246943, -288665?\n\"Answer: n**2 - 41735*n + 3431","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 2 = 4*u, -4*i = -2*u - 7*i + 19. Let t(f) = 5*f - u*f - f**2 + 5 + f. Let s be t(4). Let p(x) = x**3 - 4*x**2 - 4*x - 1. Calculate p(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 523, 507, 479, 439?\n\"Answer: -6*h**2 + 2*h + 527","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66) + (sqrt(66) - -2*sqrt(66)) + sqrt(66) + sqrt(66))*-5)\/(sqrt(24)\/sqrt(4)*-3).\nAnswer: 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3631?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-26)\/(4\/(-18804)*6). Let l = -13490 + t. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (2 - 2 - -1 - -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-10)\/(-6))\/((-50)\/(-60)). Find the third derivative of -28*g**5 - 10*g**2 + g**j + 24*g**5 wrt g.\nAnswer: -240*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 3 + 21 + -9 + -20 + 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = 4*g + 9. Round g to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28, -147, -350, -637, -1008?\nAnswer: -1463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r + 21. Suppose -n + 6*n = 5*x + 90, -5*n - x = -72. Let f be a(n). Suppose 69 = 9*s + f. Calculate the remainder when 11 is divided by s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.009253 (b) -2\/17 (c) 92\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.18 - 0.06784.\nAnswer: 0.11216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 2*v - 2 + 2 + v + (-1 - 1 + 0)*(1 - 1 + v) - v + 5*v - 6*v)*(-514 - 4*v + 514 + 30*v**2)*(-1 + 1 - 2*v).\nAnswer: 300*v**4 - 40*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 0 = -6*r - 2, -p = -2*r + 6. Sort -18, r, -10 in ascending order.\nAnswer: -18, -10, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121 = -5*v - 4*h, 3*v - 146*h + 71 = -148*h. Which is bigger: -431\/20 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12129?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b3b84 (base 14) in base 5?\nAnswer: 222032104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f + 12*f - 12770 = 0. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.05 - -3505892.\nAnswer: 3505891.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44647744 is divided by 480083?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 + b**2 - b. Let r(j) = -60*j**3 - 40*j**2 + 40*j. Let t(z) = 30*z + 70. Let l be t(-1). Calculate l*i(s) + r(s).\nAnswer: -20*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 449*-0.11\nAnswer: -49.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, p: 6, r: 3, t: 2}. What is prob of sequence fff?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 166 divide 817095494?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 5 = -13. Let f be (-1 - -1)\/(5 - m). Solve -a - 2 = -f*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1236 + 4?\nAnswer: -1232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-12)\/80)\/((-42)\/(-10) - 3). Are h and -1\/5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9\/4 + 19\/12. What is the common denominator of -83\/4 and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -319077000 rounded to the nearest 1000000?\nAnswer: -319000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3 - (-100)\/(-16) - 0 and -61\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4936889 is divided by 2468417.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 829440 and 270.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4168822256?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 AM and 1:04 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3023*z**3 - 374*z - 183443 wrt z.\nAnswer: 9069*z**2 - 374","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 928 = -5*p - 586, -4*p + 7512 = 5*w. Is w a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-3)\/(-2 - -8))\/((-1)\/82)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-12)\/(-8)*(-40)\/6. Let p be (-246)\/d - (-9)\/(-15). Find the third derivative of 12*i**4 - 3*i**2 - p*i**4 + 11*i**4 wrt i.\nAnswer: -24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -5*a + 1. Let s(w) = 4*w - 2. Let g(o) = -4*s(o) - 3*y(o). Let p = 305 + -289. Suppose 3 = -3*u - 3*m + 9, -5*u - 2*m = -p. Give g(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2 + 6*c + 7. Let d be u(6). Solve 2*h - 11 = -0*h - 3*f, 5*h = 4*f - d for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1\/115 - -2869\/690. Let n = 278243\/18 + -15452. Find the common denominator of n and z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 4*j**2 + 2*j - 70. Let c(f) = -5*f**2 - 5*f + 83. Let b(p) = 3*c(p) + 4*h(p). Calculate b(8).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, -5, 11, 2.\nAnswer: -5, 0, 2, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 41 and -3.797.\nAnswer: -155.677","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 - 4 - 6\/(-3). Suppose 0 = -s*u + u - 3. Suppose -z = -u*k + 4, 3*z - 2*k + 1 = 2*z. Solve h - z*x + 2 = 0, 2*x + 3 = 2*h - 1 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -81*y**2 + 4799*y - 1089. Give i(59).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.9 - 4. Let w = -2.9 + 2.4. Suppose 0 = -2*y + 4*v, 0*v + 10 = 3*y + 4*v. Which is the nearest to 2\/7? (a) w (b) g (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1649322 is divided by 1352?\nAnswer: 1234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 k when three letters picked without replacement from {y: 1, k: 4, h: 2, n: 4}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 3*m - 13 = 0, 0 = -f + m + 2*m - 5 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(112) + sqrt(7)*1 + 4.\nAnswer: -1 + 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + 5.2. What is h rounded to 0 decimal places?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23, -161, -539, -1277, -2495, -4313, -6851, -10229?\nAnswer: -14567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) -0.06 (c) 1 (d) -1 (e) -2\/29\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (3 + 7 + -11)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11\/5 in 1\/6, 0, 12, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1019, 397, -759, -2449, -4673, -7431?\n\"Answer: -267*x**2 + 179*x + 1107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -12528.8 and 647.\nAnswer: -8106133.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 73.42287s in nanoseconds?\nAnswer: 73422870000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 7*u**2. Let t(r) = 2*r + 11 - 28 + 17. Give a(t(q)).\nAnswer: 28*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 236*o - 229*o + 98.\nAnswer: 7*o + 101","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 6*u = -27, 319*j - 317*j = -2*u + 8 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003295868908 to 7 decimal places.\nAnswer: 0.0032959","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-2 + (4 + sqrt(13) + 1 + (sqrt(91) + sqrt(91)*2 + sqrt(91))\/sqrt(7) + (((sqrt(65) - (sqrt(65) + sqrt(65)*-1)) + sqrt(65))*-4)\/sqrt(5) + 1)**2).\nAnswer: -604 + 144*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 0.4, -9.\nAnswer: -9, 1\/3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = -t + 205. Let o be ((-16)\/10)\/((-2)\/t). Suppose -140 = -3*h - 5*i, 5*h - i - 60 - o = 0. Does 17 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 940 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-18) - 76\/(-18). Let f be c + (-1)\/(3\/6). Solve f*o = o - 4*i - 7, -2*o - 3*i + 1 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 AM and 5:20 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.014 to one dp.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 1728 divide 39994174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = -2*k - 11, 0 = 5*k - 3*f - 23 + 45 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12079 is divided by 6017.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*a - 22*a = 548. What is the remainder when a is divided by 61?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 98, -19, 1, 79 in increasing order.\nAnswer: -19, 1, 79, 98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 - 9*g**2 - 2*g - 11. Let t be j(-9). Suppose 4*v = 107 - t. Let u = v + 2. What is the remainder when 106 is divided by u?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.01275 * 0.38\nAnswer: -0.004845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 0.2 (b) -0.01 (c) -3 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 144*r**2 + 8*r. Let y(s) be the first derivative of 32*s**3 + 5*s**2\/2 + 2240. Give 5*q(h) - 8*y(h).\nAnswer: -48*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 + 3*x - 2. What is the least common multiple of 18 and v(-4)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 577 and 17229.999799.\nAnswer: 17806.999799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -21, -82, -185, -330?\n\"Answer: -21*f**2 + 2*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11101211202 (base 3) to base 8.\nAnswer: 251154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 5:30 PM?\nAnswer: 5:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.3 - -0.32. Let t = -0.496 - -0.016. Let j = t - v. Which is the closest to 2? (a) 4 (b) j (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12834 a multiple of 93?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -23330121 (base 4) in base 6?\nAnswer: -1014253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*d - 12*d - 48 = 0. Solve -4*l - d = -0*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seventeen quarters of a day?\nAnswer: 6120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 3495174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 69288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11.563480045 - 0.436519415. Let f = q + 12. What is f rounded to 7 dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 81073801?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 + 58*m**3 - 3*m**2 - 2*m - 62*m**3. Let a = 9 + -14. Let z(o) = 2*o**3 + o**2 + o. Let t = -1 - 2. Calculate a*z(d) + t*i(d).\nAnswer: 2*d**3 + d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 103.82 - -0.18. Let b = -53 - -147. Let u = b - x. What is the second smallest value in u, 2\/13, 2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -26 or -278\/11?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, 4344\/13, -7\/4, -0.4, -8.\nAnswer: -8, -7\/4, -3\/5, -0.4, 4344\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 28\/5 + (-9)\/15. Suppose -k - 16 = -5*d, u*k + 80 = -d - d. Let r = k - -40. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28181 - x - 28017 + 56353 + 4*x**2)*(-5*x + 5*x - 2*x)*(-10 + 10 + 3*x).\nAnswer: -24*x**4 + 6*x**3 - 930*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 + -3 - 1)*3. Let k(c) = -c - 2. Let p = 9 - 43. Let a(j) = -5*j - 12. Let r(n) = -n + 1. Let b(w) = -a(w) - r(w). What is l*b(m) + p*k(m)?\nAnswer: -2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 45900 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: What is 11\/2 of a hour in minutes?\nAnswer: 330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16455735 is divided by 69.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 + 7)*(3 - 3 - 1)*(-4*y + 6*y - 1 - 3*y) to the form z + q*y and give q.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1331 and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, 4, 1529 in decreasing order.\nAnswer: 1529, 5, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 651 - 983. Let o = 331.656 + b. Round o to two decimal places.\nAnswer: -0.34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2217, 8898, 20033, 35622, 55665, 80162, 109113?\n\"Answer: 2227*h**2 - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 - 23*t**2 - 30*t + 267. Determine v(-21).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 441889762 to the power of 1\/3, to the nearest integer?\nAnswer: 762","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 444 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 871*p**2 + 283058 - 872*p**2 + 9942*p**3 - 283058 in the form g*p + t*p**3 + m + i*p**2 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7 - ((9 - -1) + -6). What is the derivative of -207 - 69 + 86 + 191*i**l wrt i?\nAnswer: 573*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 35 - 32. Let b(v) = 94 - 94 + p*v**2. Let j(i) = -8*i**2 + 3*i**2 - 8*i**2 + 2*i**2. What is b(j(x))?\nAnswer: 363*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.3, -19, 0.4 in increasing order.\nAnswer: -19, 0, 0.3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1381610591 to the power of 1\/2, to the nearest integer?\nAnswer: 37170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1717636417 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-3*((1*sqrt(60)\/(sqrt(12) - sqrt(108) - sqrt(12)))**2 + 2 - ((sqrt(5) - -3*sqrt(245))**2 - (sqrt(5) - sqrt(15)\/(sqrt(3)*1)))).\nAnswer: 87028\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 - 31. Is (12\/p)\/(2\/(-36)) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*a = 3391 - 3691 for a.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 651 and 501?\nAnswer: 108717","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26876*g = 26443*g + 866 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 221103 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-6 - -3)*(4305\/(-702) + 6) and 133\/858.\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-4)\/10*-1)\/((-7)\/(-5)). Let s = -2 - -5. Find k such that -a*k**2 + 2\/7 - 2\/7*k**s + 2\/7*k = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -4*i + 5*p + 73, -5*i = 3*p - 143. Let o = 46 - i. Let u(r) = r**3 - 4*r**2 - 6*r + 15. What is the remainder when o is divided by u(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/(sqrt(11) + (sqrt(891) - sqrt(891)*1) + sqrt(11)) + -4 - -5*(sqrt(252) + -4 + (-1 + sqrt(252) + sqrt(252))**2 + sqrt(252)).\nAnswer: -119*sqrt(7)\/2 + 5021","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 170188?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*w + 19 + 0*w**2 - 18 - w**2 as f + r*w + s*w**2 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 - 8*f + 7. Let h(y) be the first derivative of -y**4\/4 - 2*y**3\/3 - y**2\/2 + 4*y + 56. Let a be h(-2). Calculate n(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 5*x**2 + 3461*x - 416. Let m(n) = 3*n**2 + 2307*n - 260. What is 5*j(o) - 8*m(o)?\nAnswer: o**2 - 1151*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 147*f**3 + 14*f**2 - 20*f + 6. Give a(1).\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t + 38. Let i(b) = 2*b - 71. What is -5*a(u) - 3*i(u)?\nAnswer: -u + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21 and 189.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 33561638?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 2*v, 5*g + v + 13 + 2 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-128)\/(-72) + (-6)\/(-27). Let x(f) = -98 + 283 - 92 + 2*f**w - 93. Let g(m) = 21*m + 0*m + 11*m. What is g(x(j))?\nAnswer: 64*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(3888) + 5 - (sqrt(675) + 1 + (sqrt(135)*-1)\/sqrt(5)).\nAnswer: 3 + 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 49259760 and 21120.\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5\/13 (b) 5 (c) 33 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 774?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 302037.6us?\nAnswer: 0.00503396","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -531*a**2 + 553*a**2 + 35 - 35. Let s(q) = -8 + 5*q + 8. Determine s(o(m)).\nAnswer: 110*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - f + 10. Suppose 3*b - 5*a + 11 = 0, -f*b - 5 = -3*a - 2*a. Suppose -52 = -b*s - s. Solve -4*u + 3*u = -3*o - 5, -o + 4*u + s = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**2 + 3 - 3)*(l + 0*l + 3*l) + 2*l**3 - 11 - 11*l - 5 + 10*l.\nAnswer: -6*l**3 - l - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yvc when three letters picked without replacement from {m: 1, v: 2, c: 2, n: 3, b: 1, y: 3}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 8 + 8*s + 10*s - 21*s + s. Calculate g(13).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3\/2)\/(8\/48). Let w be 116\/(-16) + r\/(-12). What is the tens digit of 80\/10 - w\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 8*o**2 + 14*o - 10. What is the hundreds digit of q(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.993 - -1.979. Round q to 1 decimal place.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 167*j - 2. Let z(f) = -157*f + 2. Calculate 4*b(v) + 5*z(v).\nAnswer: -117*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13 + 10?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9793.\nAnswer: 7, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {s: 3, p: 5}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 9543 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 + 25 + 18 + -28?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*-19*((-3)\/(-15) + (-24)\/20). Solve p*y = -20*y - 78 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 37\/5 or 1.054?\nAnswer: 37\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 4:30 AM?\nAnswer: 4:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 o when three letters picked without replacement from {o: 6, q: 6}.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(0 + sqrt(3)))**2 + ((sqrt(60)\/sqrt(4) - sqrt(15)) + sqrt(15))\/sqrt(5) - -4*sqrt(33)\/(sqrt(22)\/sqrt(2)).\nAnswer: 5*sqrt(3) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, g: 5, t: 3, c: 3, m: 1}. Give prob of sequence qc.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -7*d**3 + 6*d**2 - 2*d - 5. Let m(t) = -13*t**3 + 12*t**2 - 3*t - 10. Let o(p) = -6*m(p) + 11*n(p). Does 10 divide o(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 190*w**2 + w. Let p be b(5). Let v = p - 2570. Suppose -v = -4*h - 0*t + 3*t, 4*h - 2175 = 5*t. What is h rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1008*n = 46671 + 705 for n.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/((-45)\/42)*-25*(-23)\/(-115)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 555475*0.041\nAnswer: 22774.475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/15 and -137\/174?\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4433181359 - 259959499 = -295*f - 21737140. What is f rounded to the nearest one hundred thousand?\nAnswer: -14200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1184 - 1185. Let l(d) = -4*d**2 + 3*d + 3. What is l(z)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23328 and 3468?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 535730989 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 + 1 - -4) + 1?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 427 and 41297.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 840204, 3360804, 7561792, 13443168, 21004932?\nAnswer: 30247084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19031?\nAnswer: 19031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -6 + 4 - 1 + 231*v + 0. Let p = 157 + -156. List the prime factors of d(p).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 2*q + 9544, -18 = -26*q + 29*q. What is the hundreds digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.04 * -1.5\nAnswer: 0.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1409879?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23761357?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) -16 (c) 57\/22 (d) 861\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d**2 - 4*d + 7. Determine m(3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4427 and 6023?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1828\/8*3)\/(-9). Let q = -76 - d. Which is the third smallest value? (a) 5 (b) q (c) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -2*z - 2*u, -9 - 2 = -z - 4*u for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 284.2 - 284. Sort n, -0.44, -0.06, -4.\nAnswer: -4, -0.44, -0.06, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0631082 minus 0.06?\nAnswer: 0.0031082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -37 + 39. Suppose -i = -27 + x. What are the prime factors of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9981.3311 - 8390255.\nAnswer: -8400236.3311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17 + 10. Let k = 1 + c. Let l be (k - -3) + 2 + 2. Solve 3*i = -2 - l for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 56 = 879*x - 1071*x, 6*x = 2*q + 28 for q.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.02194 + 6030170115\nAnswer: 6030170115.02194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12 is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -0*x - 1. Let l be 7 + 2\/(-4)*6. Put x, l, -2 in decreasing order.\nAnswer: l, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -28 + -84. Let s = 313 - w. Let t = 11053\/26 - s. Calculate the common denominator of -37\/8 and t.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.07 in -1, -1.2922, 1, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 minus -3?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 6:54 PM?\nAnswer: 3:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of s**10\/378000 - s**8\/12600 - s**5\/15 + s**4\/24 - 66*s**2. Let l(n) be the third derivative of k(n). Factor l(g).\nAnswer: 2*g**2*(g - 2)*(g + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -133 + 99 - t - 211*t**2 + 79 wrt t?\nAnswer: -422","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000444336581 to 6 decimal places.\nAnswer: 0.000444","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 7138 divide 1556084000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -15*r - 3. Let n be u(-2). Let c = 46 - n. Suppose 4*m - 453 = -3*b - 429, 4*b + 18 = 3*m. Solve c = -5*d - m for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-33)\/(-44)*56\/6?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 4. Let f be (6\/9)\/(y\/(-6)). Let k be ((-1)\/8)\/(f\/(-2)). What is the smallest value in k, -0.5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -2*k**2 - 5*k. Let r be (-3)\/((-5)\/((-50)\/(-6))). Let l(g) = g - 2*g + 5*g + 6*g**2 - r*g**2. Determine 4*i(f) + 5*l(f).\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.044959m in micrometers?\nAnswer: 6044959","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/19, 2\/3, -3\/7, 4.\nAnswer: -3\/7, 2\/19, 2\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-10))\/(15\/(-125))?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 5*p - 101*p**2 - 5*p + 102*p**2. Let r(f) = -6*f + 8*f + 12*f + 4. Let m(i) = -14*i - 3. Let c(q) = -4*m(q) - 3*r(q). Calculate s(c(h)).\nAnswer: 196*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 4\/9, 1\/5, 60, 16, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 6\/25 of a microgram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 3:52 PM?\nAnswer: 1:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -x**5\/4 - 30887*x**4\/4 - 238640647*x**3\/4 - 2146005577*x**2\/4 - 1430299838*x - 953450884 = 0?\nAnswer: -15439, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-74 + 96 - 95)*(-3*m - 2*m + 2*m + 1).\nAnswer: 219*m - 73","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 17286354 and 144?\nAnswer: 138290832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3692, 7374, 10788, 13934?\n\"Answer: -134*c**2 + 4084*c - 258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3397?\nAnswer: 43, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 90 and 305?\nAnswer: 5490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 792613580*r**2. Let v(x) = x**2. Calculate h(v(k)).\nAnswer: 792613580*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -256 + 265 - ((3 - 1) + -6 + 12 + -34).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 - 4 - 2*40. Let u be (12\/(-42))\/(3\/x). Let p be (-4)\/15*-3*-1. Which is the second biggest value? (a) u (b) 4 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 423 divided by -3\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 152 = 788*d - 7728 for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 218990337?\nAnswer: 3, 23, 163, 19471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 184657192?\nAnswer: 2, 4219, 5471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/10 - 16588\/(-65). Suppose 46*o + h = 51*o. Does 5 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/12 - 1568\/(-192) - -6?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*u - 2*s - 54 + 40, -u = 52*s + 56 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 195\/4 - (-3)\/12. Let n be 7\/(-42) - i\/(-6). Suppose -n = -3*c + 10. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-10)\/(-4) - 2)*0. Let z be 2\/6*s + 55. Suppose 0 = 5*k + o - 43, -5*k + 2*o + z = -3*o. Is k a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*v + 11205 = -11*v + 12297 for v.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - f - 6 + 1, -6 = -4*s + 2*f. Let i(v) = -v - 10*v**2 + 1 - 13*v**2 + 24*v**s. Let r be i(1). Solve 5*k + 4 = -r for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of 0 + 0*b**2 + b + 2\/3*b**3. Let r(h) = 3*h**2. Determine r(j(z)).\nAnswer: 48*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/168 - (5 - (-165)\/(-35)).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -51\/4, -0.3, -0.4, 2\/7, -0.2, 6?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 3*r**3 + 0*r**3 + 0*r**3 + r**3 - 4*r**2 + 4*r**2 + 3 - 3 + 2*r**3 + (-4*r + 0*r + 3*r)*(-3*r - 2*r**2 + 3*r) - 3*r**3 + 3*r**3 + r**3.\nAnswer: 9*r**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 211200112211 + 2010?\nAnswer: 211200121221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**3\/5 - 343396*s**2\/5 + 15112328*s\/5 - 166246256\/5.\nAnswer: -2*(s - 22)**2*(s + 171742)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -q**2 - q**3 - 13 + 15*q**2 - 7*q - 15*q**2 in the form u*q + r*q**2 + p + m*q**3 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1797158333 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2*y**2 - 13*y - 91. What is j(11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3933 divided by -437?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1431.\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 AM and 8:36 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22 + 32. Let r = 23 - p. Let i = r - -61. Is i a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/(-120) + (3 - 214\/30).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_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: What comes next: 14403, 28751, 43101, 57453, 71807?\nAnswer: 86163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 times 15?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 4*p = 277, 1048 = 4*l - 104*p + 100*p. What is the remainder when l is divided by 63?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 92 and 644920?\nAnswer: 644920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -2*o**2. Let w(m) be the first derivative of -65*m**2\/2 - 2*m - 64. Give s(w(z)).\nAnswer: -8450*z**2 - 520*z - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15.67565 millilitres to litres.\nAnswer: 0.01567565","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from veevveeeee. What is prob of picking 3 v?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 67879 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 + -4 - 0)\/(-4). Let f(j) = j**2 - j - 1. Let k be f(-2). What is the smallest value in d, 1\/3, k?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from krkerwrkrkkkekeker. Give prob of sequence re.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -407.7916642 to one decimal place.\nAnswer: -407.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 - 7*f - 2. Let g be o(6). Let r be -312 + (-1 - -1)\/(g - -5). Let z = 460 + r. Is z a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3407 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*s = -13*s + 9 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2176567 is divided by 17?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -2*y**3 + 6*y**2 + 6*y. Let l(o) = -o**2 - o. Let k be ((1 - 5) + 0)*9\/(-6). Let z(a) = a**3 - 4*a**2 + a - 3. Let d be z(4). Give d*g(h) + k*l(h).\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 4) in base 3?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 214 divide 121766?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-9)*3\/(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*n + 3*r - 4, -n + 2*r + 185 - 189 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 519698158 to the nearest integer?\nAnswer: 22797","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 51.3 + -53. Let n = 0.7 + b. What is the nearest to n in 5, 4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 216509833.\nAnswer: 23, 431, 21841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 2*h**2\/7 - 586*h\/7 - 84 = 0.\nAnswer: -1, 294","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 31 + -27. What is the second derivative of 127*r**2 - 2*r**3 - i*r + 0*r - 127*r**2 wrt r?\nAnswer: -12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**2 + 4*q**2 - 2*q**2)*(2*q - 4*q + 0*q - 3 + 3 + q + (1 + 3 - 6)*(-q - 2*q + 4*q) + 2*q + 5*q - 8*q)*(3 - 3 + 2*q).\nAnswer: -8*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the third derivative of v**5\/20 - 3*v**4\/8 - 2*v**3 - 17*v**2 + 2*v. Let b(l) = 0. What is l?\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -5*u**2. Let c(p) = 3*p**2 - 174*p + 7. Let t(l) = -3*l**2 + 232*l - 8. Let h(z) = 4*c(z) + 3*t(z). Determine k(h(n)).\nAnswer: -45*n**4 - 120*n**2 - 80","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + 2 - (-5 + 3). Suppose -125*z + 1225 = 50*z. Solve -y*x - 10 = -z*x - u, x - 3*u + 14 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 5:04 PM?\nAnswer: 4:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -4*j + 21. Suppose 3*n = 16 - j. Sort n, 2\/11, 0.3 in ascending order.\nAnswer: 2\/11, 0.3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-49)\/(-3) + (-36)\/27. Suppose v*x - 7*x = 0. Solve -3*l - 3*y - 12 = -4*y, x = -l - 2*y + 3 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b*b**2\/b)*b*b**(1\/4)*b)**(-1\/6) assuming b is positive.\nAnswer: b**(-1\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2\/(-9))\/((-155)\/372))\/((-2)\/(-6))?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -4*q**3 + 43*q**2 - 212*q - 143. Determine a(6).\nAnswer: -731","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2306*j**2 + 15*j - 65. Is g(3) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 12, e: 3, f: 2}. Give prob of picking 2 e.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 7:13 PM?\nAnswer: 8:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/(-2))\/(3*(-6)\/(-9)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 180.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 2652 = -2*a, -7*a + 12*a + 5*d - 6705 = 0. Does 15 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 160 = -5*n, -522 = -3*n + k - 414. What is the greatest common factor of n and 18515?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/((-16)\/(-4)))\/(1520\/(-1520))*-111.\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 4*b + 8999 = 0, 0 = -72*f + 68*f + 5*b + 35919. Does 71 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 668636 - 668636 - 18*p. Let a(q) = -5*q. Determine a(f(l)).\nAnswer: 90*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 + -24 - ((-17 - (-13 - -12)) + 34)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2*-40*(-94)\/(-43616)\nAnswer: -5\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 AM and 5:54 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.025 + 1.525. Which is the fourth smallest value? (a) 1 (b) p (c) -4 (d) 1.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*6*-2*sqrt(175)*2*-5)**2.\nAnswer: 90720000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 51833281 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288) - -5*(sqrt(288) + 0)**2) + (sqrt(6)\/sqrt(3)*6 - sqrt(2))*-6.\nAnswer: -18*sqrt(2) + 1440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7*3\/(195\/(-10))*(-70)\/(-70).\nAnswer: -14\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 3*c**2 + 8*c - 8. Let l = 304 + -292. What is the tens digit of g(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3\/2 - -1) + -2. Let k = 0.67 + -4.67. Which is the closest to k? (a) -4\/9 (b) 5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2333 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -7, -4\/3, 1, -96 in increasing order.\nAnswer: -96, -7, -4\/3, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 10 = 0, 4*s - 4*o - 8 - 64 = 0. Is s < 25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 145\/288 and 17\/120708.\nAnswer: 965664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = l - 1. Let c be 2\/9 - 1144\/(-117). Suppose 3*a - 4*f + 1 - 36 = 0, 0 = -l*f - c. What is the greatest common factor of 9 and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 113.6 - -8.4. Let d = -1.34031354 - -123.34029494. Let r = d - f. Round r to 6 dps.\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9 + (-481)\/52 - 14\/(-24). What is the closest to 0.51 in m, -7, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(6\/7)*(g*g**5)\/g)\/(g*(g\/(g\/(((g*g**1\/g*g)\/g)\/g*g)))\/g)**(-2\/9))\/((g**(-2\/7)*g)\/(g**6*g)*g*g**(2\/21)*g*g*g**2) assuming g is positive.\nAnswer: g**(458\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 78 divided by 406650?\nAnswer: 13\/67775","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 9 - (14 + -20 + (-5 - 6) - -57)\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -25 + 23. Is 572\/12*(5 + x) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 497515 to the nearest integer?\nAnswer: 705","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -43 + -40. Let s = -82.96992 - f. Let o = 0.03 - s. What is o rounded to 4 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 280419640 a multiple of 626?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -121098 divided by 583\nAnswer: -121098\/583","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 287.839 millimeters?\nAnswer: 28.7839","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 2.8306503 microseconds?\nAnswer: 0.00000000003276215625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5613.825ns to milliseconds.\nAnswer: 0.005613825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-32)\/(-24)*-3*(-57)\/12. Solve 5*l + 0 = -x - h, l = -x - 3 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*x + 8. Suppose 2*f = -0*f + x. Let n(q) = -5*q**3 - 3*q**2 - q. Let b be n(-1). Solve -f*h - h = -b for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 3*b**3 + 539*b**2 - 732*b - 1520. Determine l(-181).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 117, 1036, 3569, 8538, 16765?\nAnswer: 29072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 12, 3.533, 1549.\nAnswer: -4, 3.533, 12, 1549","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppgpgowgowcjgooggco. What is prob of picking 2 p?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -4488 divided by 4\nAnswer: -1122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -48*y - 53*y + 12 + 91*y - y**2. Calculate the smallest common multiple of h(-10) and 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 5:36 AM?\nAnswer: 7:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 558\/(-90) - (-1)\/5. Let l = 8 + q. Let u(z) = -z**3 + 2*z**2 + z. Let m be u(0). Solve y + l = -m*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 + z - 2. Let s be b(0). Let m(g) = -g**2 - g + 1. Let f be m(s). Is 0 < f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and -0.2.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 513449?\nAnswer: 37, 13877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-7 + -14 + 20)*550\/(-10)\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.7 - -1. Let m = 0.047 - -0.253. Which is the closest to x? (a) 2\/11 (b) m (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m - 12. Let c be u(3). Let w be 10\/c + (-77523)\/36. Let q = 2152 + w. Find the common denominator of q and 117\/40.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2829523 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 - 167*d - 6053. Calculate b(-53).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 4, 5, -11, 6.17?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 + s + 11. Give h(6).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1111 - 10?\nAnswer: 1101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*r + 9*r - 68*r + 1408 = 0. What is the greatest common divisor of 5060 and r?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 274508 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15646*b**4*h - 2405*b**3*h**2 + 2*b*h**2 - 30*b*h - 10016492*h**2 wrt b.\nAnswer: -187752*b**2*h - 14430*b*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 164204964?\nAnswer: 2, 3, 7, 11, 37, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 149 a factor of 14965560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1260)*2)\/sqrt(5) + (sqrt(420)\/(sqrt(10)*2) + sqrt(42))\/sqrt(6))**2.\nAnswer: 5103\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.794496 grams in nanograms?\nAnswer: 2794496000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 894 - 879. Calculate the remainder when 384 is divided by t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 4630144.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.854028 to 2 dps.\nAnswer: 1.85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (96 - 280 - 2*y - 1585)*(3 + 0 - 1).\nAnswer: -4*y - 3538","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2*j**2. Let f(q) = -427778*q. Give a(f(x)).\nAnswer: 365988034568*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 4*c - 54 = 0, -5*m - 68 = -2*c + 10. What is the units digit of m*((-702)\/4)\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(20) + (sqrt(405)*-1)**2.\nAnswer: -6*sqrt(5) + 405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bttbomqobnmtbbb. What is prob of picking 1 q and 1 b?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 175930055 to the power of 1\/3, to the nearest integer?\nAnswer: 560","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5831672 is divided by 194387.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -10, x + 4*l - 50244 = 3721. List the prime factors of x.\nAnswer: 3, 1999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23232 + 162669\/7. Calculate the common denominator of p and -4\/3227.\nAnswer: 3227","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14978 is divided by 692.\nAnswer: 446","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2175.77 rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/12 + 126\/24. Suppose 0 = -l*t + 2514 + 1141. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6839, -6879, -6893, -6881, -6843, -6779?\nAnswer: -6689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -21 - -7452?\nAnswer: 7431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 64\/112*189\/324.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3082 - 3123. Find the common denominator of h and 157\/330.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 281*l**3*p - l**3 + 2617*l**2*p - l**2 + 175*l*p - 41*l - 5177*p wrt l.\nAnswer: 1686*l*p - 6*l + 5234*p - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -73, -143, -213, -283, -353?\nAnswer: -423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = 2*a + 126, 3*n + 182 = -10*a - 321 - 104 for a.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (291 - 291 - ((-3 - -2) + -5)) + -1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/((f**(1\/19)\/f)\/f)*f*f**7)**(1\/2) assuming f is positive.\nAnswer: f**(227\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l - l + 4*l)*((5 - 2 + 3)*(-249*l + 465 - 465) + l - 5*l + 7*l).\nAnswer: -1491*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - s = 13, 4*h - s + 11 = -0*h. Let c be 16\/6*(-6)\/h. What is the second biggest value in -1, c, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 55 - 16. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) -4 (c) -3 (d) 72\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 11. Let l = h - 6. What is the second derivative of -9*i - 6*i**l - 3*i**5 + 16*i wrt i?\nAnswer: -180*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 262008.4 (b) 5 (c) 17 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 3 + (-5 - 2) + 191 + 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 17 = -d, 2*d - 5 - 5 = 2*w. Find the third derivative of -5*i**2 - i**6 - 3*i**6 + 0*i**6 + d*i**6 wrt i.\nAnswer: -240*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -30.9 + 32.67. Let l = 1.7 - s. Round l to one dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*n = -11*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 50 = 15*y. Suppose -9*i = -4*c - 14*i + 470, 0 = 3*c - y*i - 370. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 + 12*u**2 + 5*u - 30. Give g(12).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = 3760*u - 3771*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 201 - -2221?\nAnswer: 10122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of k**3\/3 + 335. Let j(m) = -12 + 22*m**2 + 12. Calculate j(f(u)).\nAnswer: 22*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q + 9. Let a(l) = 2*l**2 - 1. What is 5*a(n) + k(n)?\nAnswer: 10*n**2 - n + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000653146848 to six dps.\nAnswer: -0.000065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 = 17*g - 8. Let s be 1 - (-3)\/g - (4 + -4). What is the closest to -66\/13 in 2, s, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01794712 rounded to four dps?\nAnswer: 0.0179","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*o**2 - 4*o**2 - 3*o**2 to the form g*o + n + b*o**2 and give b.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/21)\/(-14 + 425\/30).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 82592209 and 641?\nAnswer: 641","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 304, 308, 314, 322, 332, 344?\nAnswer: 358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.6554 rounded to one decimal place?\nAnswer: -2.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of 5*i**2\/2 - 35*i - 2299. Calculate g(11).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -2*z - 4*s - 152, 3*s - 75 = 3*z. List the prime factors of (1155\/z + 5)*-16.\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of 5*a**4\/12 - a**3\/3 + 6*a**2. List the prime factors of m(4).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l - 4 + 4)*(288 - 100*l - 288)*(-2 - 2 + 3).\nAnswer: 100*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4824600 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2786792*s**4 - 22*s**3 - 22709*s + 2996 wrt s.\nAnswer: -33441504*s**2 - 132*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of -l**8\/336 - l**7\/210 + l**6\/30 + l**5\/15 + 16*l**2. Factor p(y).\nAnswer: -y**2*(y - 2)*(y + 1)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 21 = 4*p, -3*p - 1 = -3*u - 4. Let c(x) = -x**3 - 4*x**2 - 11*x - 13. Let q be c(p). Solve -2*d + 11 = 5*a - 6*a, 5*a - 4*d + q = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in three eighths of a second?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 4564.267 millimeters?\nAnswer: 4564267000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -2*p**3\/3 - 113*p**2\/9 - 331*p\/9 + 1162\/9 = 0?\nAnswer: -83\/6, -7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/36 and -55\/32.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/52 and 85\/16.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23.19 + -0.100752469.\nAnswer: 23.089247531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 220 and 66192764?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and -3.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -3*v**2 + 20*v**2 + 12*v**2 + 2*v**2. Let n(o) = -3*o**2. Determine n(t(h)).\nAnswer: -2883*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 divided by 27.\nAnswer: 32\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 2*v = 8, -3 = m - 2*v - 11. Is -3\/119 less than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 6779?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*g + 105 + 69. Let a = 26 + g. Calculate the remainder when 109 is divided by a.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19 - 2) + -14 + (-4 - -25).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -180204528*o*p + 1047*o + 432168 wrt p.\nAnswer: -180204528*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 115\/26622 and -1\/5742?\nAnswer: 292842","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7004*b - 249454 - 324566 - 13099 - 134293 for b.\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 + 15. Let i be (3\/(-6) + 1)\/((-1)\/(-10)). Suppose -x + i*v + 92 = -0*v, -2*x + 139 = s*v. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 5*z**2 - 128*z - 274. What is d(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a**0*a))\/(a*(a*a**2*a)\/a*a))**6*(a**(-6)\/a*(a*a**(-8))\/a)\/((a\/((a*(a\/((a\/a**(1\/4)*a)\/a))\/a)\/a))\/a*a*a\/a**(6\/5)) assuming a is positive.\nAnswer: a**(-931\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4118 = -11*f + 268. Let b = -3897642049\/11135157 - 10\/337429. Let a = b - f. Which is smaller: a or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51183189697 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 2, -31, -6, -2, 176 in decreasing order.\nAnswer: 176, 2, -2, -6, -13, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -22323143413 + 10?\nAnswer: -22323143403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 292 + 722 = 0. Is p + 2 + (-2)\/2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -41\/5? (a) 2\/21 (b) 25750 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 3*w - 5 = 0, 0*w + 1 = -w for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*g**2*l*v + 228*g**2*l - 7*g**2*v - 83*g**2 - 742*g*l*v + 1663*g*l + g wrt g.\nAnswer: -4*l*v + 456*l - 14*v - 166","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(270) - (sqrt(270)*1 - sqrt(270) - sqrt(270)))\/((sqrt(66)*-2 + sqrt(66))\/sqrt(11)).\nAnswer: -6*sqrt(5) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 46161064273 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -29*j**3 - 4*j**2 - 66*j - 194. Is 43 a factor of t(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88) + ((sqrt(88)*1 + sqrt(88) - sqrt(88))*-1 - sqrt(88)))\/sqrt(8)*2.\nAnswer: -2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 - 2*k**2 + k - 2. Let m be y(2). Suppose 3*c - 5*t - 16 = m, -t - t = -c + 6. Let p(o) = -1 + 2 - 5 + c - o. Give p(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**2\/5 + 2154*t\/5 - 51129\/5.\nAnswer: 3*(t - 23)*(t + 741)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 120240 and 334.\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(3*sqrt(209) + sqrt(209)) - (sqrt(209) + sqrt(209)*2*5))\/(-4*(sqrt(66)*3 - sqrt(66))\/sqrt(6)).\nAnswer: 27*sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -402 divided by -2847\nAnswer: 134\/949","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0023746732 rounded to 5 dps?\nAnswer: -0.00237","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -2*w - 6. Let a be c(-10). Suppose a = -q - q. Let j = q - -9. Solve -2*m = j*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51551 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a century in years?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/(-3))\/(4\/24). Let v be (i\/(-3))\/(6\/27). Sort 1, -2, v.\nAnswer: v, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 9*n + 3788483 - 11379915. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 675.99949 + -676. What is a rounded to 4 dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4608 a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1250235 is divided by 20?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(832)*-2 - sqrt(832)) + -3)**2 - 5*(sqrt(832) - (0 + sqrt(832))) - (sqrt(13) - (1*sqrt(52))**2 - (sqrt(13)*-1 + -3)).\nAnswer: 142*sqrt(13) + 7546","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.9 - 6. Let n = 0.02 + 0.23. Let l = n - p. What is l rounded to one decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1020 divided by -3.\nAnswer: -340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 2 = -2*r, 5*r + 0*r = 15. Solve -5 = -s*u - u + v, 2*v - 16 = -3*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-12)\/7 + (-8)\/28. Suppose 5*i - 4*k + 33 = 0, -8*i + 4*i + 3*k = 26. Sort -1, h, i, 2.\nAnswer: i, h, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 - -3)*-1*205\/10. Let b = 127 + u. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (2 + 9 - 20) - -21?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -2*z**3 + 12*z**2 + z**3 + 2*z**2 - 9*z + 0 - 12. What is the tens digit of j(13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, v: 1, k: 1, d: 2, a: 2, t: 2}. What is prob of sequence ti?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 379729?\nAnswer: 7, 17, 3191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-4\/5)*z**(2\/11))\/(z**(-1\/4))**(-3\/7)*(z\/(z**2*z))\/z**(1\/5)*(z*z\/(z\/(z\/z**(-2\/11))))\/z**5 assuming z is positive.\nAnswer: z**(-1769\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kyklyllllllulu. What is prob of picking 1 l, 1 k, and 1 u?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 14) to base 4\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -327, 0 in descending order.\nAnswer: 0, -4, -327","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -28664?\nAnswer: -5732.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-73)\/(-146)*560\/8?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*s = -27*s - 193660. What is the thousands digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-4)\/6)\/((-2)\/(-30)). Suppose 0*b = 2*b. Let k = b - a. What are the prime factors of k?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/10446*108\/198. Let z = 823521\/268114 + s. Calculate the common denominator of z and -5\/262.\nAnswer: 1834","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (314 - 161 - 221 + 2*m**3 - 2*m**2)*(4*m + 0*m - 3*m) + 2*m**2 + 2*m**4 - 2*m**2 to the form q*m**3 + l + f*m + n*m**4 + y*m**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 901340 is divided by 2518?\nAnswer: 2414","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 - -21140\nAnswer: 21140.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 95.149ug in milligrams?\nAnswer: 0.095149","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 150905350 and 278?\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 + s**2)*(-14*s + 7*s + 42*s)*(-1 + 1 - 1) to the form q*s**3 + p*s**2 + c + l*s and give q.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1225 and -0.011.\nAnswer: 0.0013475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -30259*a**3*i**3 - 36583*a**2*i**3 - a**2*i wrt a?\nAnswer: -181554*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 348190+-0.7\nAnswer: 348189.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 38556?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 32151323489 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + 4 - 4)*(3*y - 3*y - 2*y) - y**2 + 56 - y**2 - 78.\nAnswer: 2*y**2 - 22","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -179 - -121. Let b = 67 + c. What is the remainder when 25 is divided by b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -154.79 rounded to the nearest 10?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v = 3*v + 5*l - 7, -4*v - 3*l = 15. Let y be v\/9 - (-1)\/3. Suppose y*c - c + 23 = 0. What is the remainder when 89 is divided by c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s - 687073 = 29916. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 284, -231, -1066, -2227, -3720, -5551?\nAnswer: -7726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -3*n - a - 3*a, -4*a + 36 = 4*n. Suppose 3*x + 0 = -l + n, 2*l = 2*x + 30. What are the prime factors of l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of 5*c**3 - 21*c**2 - 3872*c - 4213. Differentiate f(j) with respect to j.\nAnswer: 30*j - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1579823100 to the power of 1\/4, to the nearest integer?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8800 and 4800?\nAnswer: 52800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/180 and -163\/9300.\nAnswer: 27900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together 17 and 0.11763.\nAnswer: 17.11763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17293939?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1434, 2312, 2650, 2460, 1754, 544, -1158?\nAnswer: -3340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 12685 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 122940.081 rounded to the nearest ten thousand?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h**2 + 33 + 1061*h + 2*h - 21.\nAnswer: -2*h**2 + 1063*h + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 44 = 3*k. Suppose -2*j + 23 = 2*v - j, 2*v = 3*j + k. Solve 3*w + 5*n - 29 + 9 = 0, -3*w = -5*n - v for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 223564, 223579, 223608, 223657, 223732?\n\"Answer: w**3 + w**2 + 5*w + 223557","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3\/196 + 419\/1764. Let j be (-1)\/3 + (-741)\/(-9). Let y = j - 408\/5. Put d, y, -0.1 in descending order.\nAnswer: y, d, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a litre in millilitres?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13258090 < 13258092?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(320)\/(-1*sqrt(72)))\/(sqrt(512) - sqrt(512)*-2))**2.\nAnswer: 5\/5184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -499 divided by -6?\nAnswer: 499\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of 77\/2*v**2 + 10\/3*v**3 - 4 - 2*v. Find the first derivative of n(q) wrt q.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a milligram in micrograms?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 909\/2, 3, -3\/7, -1\/2 in increasing order.\nAnswer: -1\/2, -3\/7, 3, 909\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7503*h**6 + h**2 - 106*h.\nAnswer: -900360*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2\/13 (b) 0 (c) -0.0059 (d) 10\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-4)\/5)\/(-2) - (-32)\/(-80). Let q(d) = -2 - 4 + 9 + a - d. Suppose z + 8 = 3*o, 23*z - 5*o + 32 = 26*z. Calculate q(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 3)*(0*f + 3*f - 4*f)*(-5*f + 8 + f - 10).\nAnswer: 4*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/8 - ((-485)\/1552)\/(73\/52).\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 65\/2 + -32. Put y, 2\/9, 4, -1\/2 in descending order.\nAnswer: 4, y, 2\/9, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1210 + 1720. Calculate the greatest common divisor of u and 90.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-2*(sqrt(77) + (sqrt(77)*-2*-1 - sqrt(77)) + sqrt(77)))\/(-2*((sqrt(77) + 3*sqrt(77))\/sqrt(7) + sqrt(11))).\nAnswer: -5 + 3*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 15 - 67?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -6029.21162 rounded to the nearest one hundred?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 243 (base 16) to base 15.\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f + 1. Let n(z) = -3*z + 23. Determine -5*j(y) + n(y).\nAnswer: 2*y + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 24, 20, 4, -30, -88, -176?\n\"Answer: -p**3 + 3*p + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 49*n**6*o**2 + 4*n**3*o + 4*n**2*o**2 - 2*n - 20*o**2 wrt n.\nAnswer: 5880*n**3*o**2 + 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 4*r + 636, -2*o + 157 = 5*r - 147. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 818 + -6?\nAnswer: 812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 17 + 3?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 54177427?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 3 = -2*q + s, 5*q = -s - 3. Let i = 46 + -32. Suppose 0*u - u + i = q. What are the prime factors of u?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 - d. Let p(s) = s**2 + 7*s + 3. Let z be p(-6). Let o = z + 4. Let w(n) = -4*n**2 - 3*n**2 - 4*n + n**3 + 2*n**2. Give o*w(r) - 4*l(r).\nAnswer: r**3 - r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 64*q + 3. Let f be j(-2). Let g = 227 + f. What are the prime factors of g?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(80) + -2) - 3*2*sqrt(80))*2)**2.\nAnswer: 320*sqrt(5) + 8016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*a = -16*a - 23320. Does 54 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-7)*2*-2. Let a = -33\/20 - -5\/4. What is the biggest value in 0, a, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7390?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t**3 - 2*t**3 + t**5 + (t + 0*t + t)*(2*t**4 + 3*t - 3*t) + 2*t**5 - 4*t**5 + 0*t**5 - 10*t**3 + 10*t**3 - 9*t**5.\nAnswer: -6*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 739244 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -84872, -177182, -269494, -361808, -454124, -546442?\nAnswer: -638762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -14842 (base 9) to base 16\nAnswer: -27b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 42, 69, 96, 123?\n\"Answer: 27*m + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1\/10 of a kilometer?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - -8 - 1 - 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 14138392\/6 + (-3)\/(-9). Let g(s) = 6742*s**3 - 4*s**2 - 4*s - 7. Let c be g(-6). Let w = f + c. Round w to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-16)\/88 + 57\/11. Let z(s) = s**2 - 2*s + 3. Let t be z(2). Suppose -y + t = -i. Does 8 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/252*4482\/664\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 820 + (-3 - (1 + -3)). Let n be (-2)\/(-5) + q\/15. Calculate the greatest common divisor of 5 and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(16)\/(sqrt(8) + sqrt(56)\/sqrt(7)) + -2 + 2*sqrt(2))*-6 + 3.\nAnswer: -69 + 90*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of 191*n**6\/6 + n**2\/2 + 37*n - 339. What is the second derivative of f(l) wrt l?\nAnswer: 3820*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-1 - 3 - -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1366 is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002851 rounded to four decimal places?\nAnswer: 0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 PM and 10:12 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18 - -20. Factor 5*o**k - 11*o**2 + 3*o**5 + 0*o**3 - 9*o**3.\nAnswer: 3*o**2*(o - 2)*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26 + 16 + 0 + 17\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - 1. Let w = 0.1 - -4.9. Let i = w + d. Put -1\/5, i, 0.5 in decreasing order.\nAnswer: i, 0.5, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -16*k + 3. Let n be t(0). Which is the nearest to -2? (a) 0.1 (b) n (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 3:34 PM?\nAnswer: 7:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59187315.\nAnswer: 3, 5, 11, 358711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 32\/45 + 2953\/720. Calculate the common denominator of a and 6 - (2 - 214\/(-24)) - 4.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2186, -2 in decreasing order.\nAnswer: 2186, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 divided by -1.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 + 62*w - 486. Determine i(9).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-4 + -4 + (sqrt(32) + sqrt(160)\/sqrt(5) - sqrt(32)))*-1.\nAnswer: -4*sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -10*i**3 - 48*i**2 + 9*i + 1. What is s(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w + 12032 = 4184. Let q = -666 - w. Suppose 5*p + 2*z - 256 - 1337 = 0, q = p + 4*z. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - o + 4*a = -6, -3*a = 3*o - 9. Let q(u) = -3*u + 0*u + 0*u + u**o - u - 2. Suppose 20 = 4*r - 4. Give q(r).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 742749?\nAnswer: 3, 7, 113, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.1 and -0.7.\nAnswer: 0.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -31*k**2 - 9. Let d(n) = 2*n**2 + 6*n. Give d(s(a)).\nAnswer: 1922*a**4 + 930*a**2 + 108","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 10 + 46 = 0. Let d = 18 - l. Let s(w) = w**3 - 6*w**2 + 5. Calculate the remainder when d is divided by s(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -2*f**5 + 3618*f**4 - 43198*f**3 + 125790*f**2 = 0.\nAnswer: 0, 5, 7, 1797","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 PM and 8:15 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 1, -2, -5, 2\/45, 3, 3\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*x = -41*x + 53*x - 180 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 8:28 PM?\nAnswer: 11:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3237700 is divided by 1079229.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00101235911 to four decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1830 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -5*g**4 + 427940*g**3 - 9155776260*g**2 - 36628240480*g - 36629952320 = 0.\nAnswer: -2, 42796","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -8140\/43, 2\/7, 3, -1, 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 3*w**3 - 17952*w**2 - 35913*w - 17958 = 0.\nAnswer: -1, 5986","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1b0a - -56?\nAnswer: 1b62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 47 - 40. Suppose -u = -g*u - 24. Find the common denominator of ((-19)\/5 - u)*355\/4 and -49.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 16 = 2*v, 0 = 5*o + 4*v - 12 + 17. Solve -2*u + o*u = 4 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 17, -3, -21 in descending order.\nAnswer: 17, 0, -3, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -26*c + 8*c + 24*c + 2*w - w + 32, 4*c + 36 = 3*w for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 3*u**2 - 4*u - 27. Let l be h(-6). Let c = l + -105. Determine m, given that -5\/6*m**3 + c + 1\/6*m**4 - 1\/6*m**2 + 1\/2*m**5 + 1\/3*m = 0.\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 201*k**3 + 5*k - 5*k.\nAnswer: 201*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 736 - 705. Which is the second smallest value? (a) f (b) -1 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 435, 883, 1343, 1815, 2299, 2795, 3303?\nAnswer: 3823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 800 and 116?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1200222202102 + 2100?\nAnswer: 1200222211202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = -4*o - 24, -48*g + o + 11 = -46*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 330 = 3*f, 0 = -2*u - 2*f + f + 216. Is u a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/4*n**4 + 64 + 17\/2*n**3 + 321\/4*n**2 + 136*n.\nAnswer: (n + 1)**2*(n + 16)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 24*g**2 + 165*g - 7. What is r(-7)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*d = -68*d + 464086. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z + 5. Let p be s(-6). Let h be (p\/3)\/((-3)\/(-9)). What is the units digit of h\/(((-6)\/8)\/3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 2.583818 years?\nAnswer: 0.02583818","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -6 - (4 + (-14 - -2)). Solve 50*x + 9 - 4*x**h + 7*x**2 + 18 - 68*x = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.083 (b) -2621.3 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 58064820?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 - 14*z + 10. What is h(13)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*z + 1648 + 2 = -147*z for z.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 + 3*y + 2. Let z = -997 - -993. Calculate r(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 40.1094 - 0.0094. Let o = -35 + p. Let k = -5.09999922 + o. Round k to 7 decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 40 (b) -0.3 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or -40\/11?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16994?\nAnswer: 2, 29, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 3*n + 2 = 0. Suppose -n*t - 461 = 2*t - i, 3*t + 345 = i. Let v = 173 + t. What is the greatest common factor of v and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 200201202 - 21?\nAnswer: 200201111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 - 9*i + 20. Let k be q(6). Let r be k\/(-11) + (-497)\/(-11). Is r not equal to 47?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/(m**(-5\/2)\/m)*m*m**(-2\/19)*(m**(-1\/5))**(-25) assuming m is positive.\nAnswer: m**(395\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, h: 18, k: 1}. What is prob of sequence mhh?\nAnswer: 17\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15 and 70616169.\nAnswer: 353080845","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -134482, -538055, -1210670, -2152321, -3363002, -4842707?\n\"Answer: b**3 - 134527*b**2 + b + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 149*h**3 + 2*h**2 - 147*h wrt h.\nAnswer: 894*h + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 13975298?\nAnswer: 1397529.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -15\/23 in 4, -0.3, 13\/4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.237375636 to 3 decimal places.\nAnswer: 1.237","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.77 + -3.77. What is the smallest value in 0.05, r, 0.3?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13827 (base 9) in base 4?\nAnswer: -2103031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 130\/11 or 2653?\nAnswer: 2653","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 101\/396 - 1\/198. What is the nearest to l in -0.5, -0.2, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.03, -0.2, -2, -0.4 in descending order.\nAnswer: -0.03, -0.2, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4.911? (a) 0.4 (b) -0.4 (c) -247 (d) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 75 + 154 = -4*m + 48, 75 = 5*j for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14 and 190974?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5949713\/1614 + -22117\/6. Do i and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 19 - 25 = -a, 5*j = -4*a - 2 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -8, -14, 4\/5, -5\/6, -111?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1672 is divided by 30.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (2 - (-3 + -3)) + 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 14*d**2 + 16*d. Let s(r) = -5*r**2 - 5*r. Let l(k) = -3*f(k) - 10*s(k). Find the second derivative of l(n) wrt n.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -140 - -4121?\nAnswer: 3541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 AM and 7:20 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 877*j**2. Let n(k) = -42*k**2. Calculate v(n(i)).\nAnswer: 1547028*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 3*j. Let q(x) be the first derivative of -x**2\/2 - 1. Let a = 3 + -3. Let o = 1 + a. Give o*r(d) + 5*q(d).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9882, 39147, 87922, 156207?\nAnswer: 244002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 - (65\/(-15) + 1\/3). Put 3, c, -4 in decreasing order.\nAnswer: c, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5798 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 253529 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 162 is divided by 82?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 11 = -5*k, c - 4*c = -3*k - 9. Let x be 28*2\/c - -2. What is the units digit of ((-6)\/4)\/((-6)\/x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(-4)\/(-32)*88\/33.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 17 - 9 - 6 - h. Let o be u(-3). Suppose 4*n - 73 = -o*w, 6*w - 2*w = 5*n - 40. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, 0.3, 1\/4, -5\/2, -4, 54.4, 2\/15?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 100*z**5 - 5920*z**4\/3 - 13056*z**3 + 110456*z**2 - 127660*z\/3 + 4200 = 0. Calculate z.\nAnswer: -9, 1\/5, 5, 70\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 437984 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 + 3*u**2 - 6*u + 2. Let h(v) = 2*v**3 + 5*v**2 - 11*v + 4. Determine -7*g(n) + 4*h(n).\nAnswer: n**3 - n**2 - 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(4\/15)\/(l**9\/l)*(l**(-17)*l)\/l*l**12\/l)**8 assuming l is positive.\nAnswer: l**(-1648\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 40*l**2 + 14*l. Let z(g) = -60 - 3*g + 11 + 25 - 8*g**2 + 24. Calculate 6*f(b) + 28*z(b).\nAnswer: 16*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -3 + 2 + 15 + -230 + 28 + 126.\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 697, 1396, 2097, 2800, 3505, 4212, 4921?\n\"Answer: k**2 + 696*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -g**3*y**2 - 4*g**3 - 100*g**2*y**3 - 12*g*y**3 - 9*y**3 wrt g?\nAnswer: -6*g*y**2 - 24*g - 200*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.28 - 0.279998114. Round f to seven dps.\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -12 (b) 135 (c) -4\/3 (d) 6846\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1594923 divided by -11.\nAnswer: 144993","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -4*q - 5. Let y(a) = 21*a**2 + 5*a - 9. Is y(q) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 4*v**2 - 6*v**2 - 3*v**2 as n + r*v**2 + l*v and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 706\/6 - (-210)\/(-126)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/4 and 65\/19674?\nAnswer: 39348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-2*sqrt(343)*-1*2)**2 + -2.\nAnswer: 137198","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -30*b**2 - 72*b - 5. Determine a(3).\nAnswer: -491","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 - 10*m - 87. Let h be x(16). What is the second derivative of 512 - j - 496 + 0*j - h*j**2 wrt j?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 793237.\nAnswer: -79323.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 5 + (((sqrt(3840) - (sqrt(3840) - (2*sqrt(3840) + sqrt(3840))))*1)\/(-3*-2*sqrt(12) + (-1*sqrt(588) - sqrt(588))))**2.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -594*i - 232352 = -2786*i for i.\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -2 + (1 - (-4 + 2))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - s = 122 + 63, s = -5. Is 18 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of l**9\/17640 - l**8\/4704 + l**7\/4410 + l**4\/3 - 4*l. Let o(s) be the third derivative of g(s). Solve o(z) = 0.\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 + 0)*(-8 + -1 + 10). Let a = -2\/579 + -1727\/2895. Is a < b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - ((12 + 7 - 6) + 1 + -7).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -1 (b) -1\/8 (c) -0.2 (d) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1590)\/(-1749)*44\/15?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*p + 4*l = 9, -3*p + 2268 - 2272 = -5*p + 2*l for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -386234 - 7?\nAnswer: -386242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 4*f - 8 = 0, -5*k - 19 = -4*f + f. Let q(p) = p**3 + 5*p**2 + p - 2. Calculate the least common multiple of q(-4) and ((-3)\/2*6)\/(3\/k).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -52 + 47. Suppose 6*f = 4*b + 3*f, 5*f = -20. Let r be 3 + 0 + 8\/b. What is the third biggest value in j, r, -1\/5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 49\/5 of a micrometer?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (654\/(-15))\/(-1 - 105). Let n = 32\/97 - 2666\/5141. Let f = n - x. Which is smaller: f or 0?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2894 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 + (-95 - -28) + (-12 - 1)?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -5*w**5 - 630*w**4 - 4140*w**3 + 3350*w**2 + 44625*w = 0.\nAnswer: -119, -5, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 - 14*y**2 + 13*y + 12. Let m be x(13). Suppose 13*r - 17*r = -m. Let p = 4 + -2. Is p <= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 0*k = -2*f + 28, 3*k - 79 = -f. Suppose -26*w + k = 78. Which is smaller: w or 16?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2123046344?\nAnswer: 2, 8597, 30869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2581.\nAnswer: 29, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3683960*u + 1556793 with respect to u.\nAnswer: -3683960","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -238 + -18?\nAnswer: -252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -22674 (b) 1 (c) 19 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 87*b - 32*b - 24*b - 34*b. Let l(p) = -p. Determine l(g(n)).\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 16, 18, 24, 34, 48, 66, 88?\n\"Answer: 2*w**2 - 4*w + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*a - 21*a - 19*a - 2*a**2.\nAnswer: -2*a**2 - 53*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*h = -h + 403. Let l(w) be the second derivative of -89*w**3\/3 - 13*w**2 + w. Let j be l(h). What is j rounded to the nearest 100?\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 - 4*f**2 + 0*f**2 + 3*f**2. Let j(s) = 31*s**2 - 414*s + 414*s. What is w(j(g))?\nAnswer: -1922*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -90 (b) -0.731 (c) -2\/7 (d) 0.56\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 6*2\/(-60)*-2\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-186)\/(-14) + -1 + 35\/49. Let k = -10 + a. Solve -k*j = -0*j - 3 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -37 - -55. Suppose -12*a = -3*a - b. Let q(g) = -7*g**3 + 6 - g**a + g**2 + 4*g**2 + 2*g**2. Let k(c) = c**3 - c**2 - 1. Give 6*k(y) + q(y).\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9997794.\nAnswer: 2, 3, 71, 7823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -19*w + 172 - 1 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 2*q = 8, q + 2 = g - 4. Let t(u) = -u**2 + 5*u + 2. What is t(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of -v**5\/240 - 11*v**4\/96 - 5*v**3\/12 + 32*v**2 + 61. Let d(o) be the second derivative of c(o). Factor d(k).\nAnswer: -(k + 1)*(k + 10)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-426)\/(-213)*1\/1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 4:00 AM?\nAnswer: 5:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -4536255.528 to the nearest one hundred thousand.\nAnswer: -4500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 6 = -2*f, -3*a = -1291*f + 1287*f - 14 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -107*o - 11*o - 5*o + 492 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o**(11\/3)*(o\/(o**37*o))\/o assuming o is positive.\nAnswer: o**(-100\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22 - 22.4. Let u = 1 + p. Let q = 15 + -19. Sort u, q, -0.4 in descending order.\nAnswer: u, -0.4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18770719*d**5 - 27385*d**2 + 329?\nAnswer: -1126243140*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-25 + -15)\/(-8) + (-34)\/10.\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 345919 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -5, 5, 0, -1, 9428 in decreasing order.\nAnswer: 9428, 6, 5, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 15097*k + 208. Is r(3) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 2*y = -84 + 92, -c = -3*y + 2 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 157146127 rounded to the nearest one million?\nAnswer: 157000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 63529558727 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 - -10. Let r be (-3159)\/(-130) + p\/10. Let s = r + -24. Which is greater: 0 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-9) - (880\/(-72) - 4). Let a be 0*((-78)\/x - -5)*4. Suppose g - 2 = -0*g. Solve 5*q = -j - 4, -3*j - g*j + q - 20 = a for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-14)\/56 + (-9)\/(-4). Suppose -4*t = -q*t - 658. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z + 27. Suppose -5*s = p + 30, -82*s + 20 = -85*s - p. Let k = 205 - 122. What is the remainder when k is divided by r(s)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 + 15. Suppose -6*l = -p*l + 6. What are the prime factors of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 - 4*v**2 - 8*v - 4. Suppose -4*h + 21 - 1 = -4*m, 5*m = 3*h - 27. Does 38 divide z(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.6 + -6.8?\nAnswer: -5.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*n**3*o**2 - 2*n**3 + 21*n**2*o**4 + 67*n**2*o + n wrt o?\nAnswer: -4*n**3 + 252*n**2*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*s**5 + 366*s**4 + 528*s**3 + 152*s**2 = 0. Calculate s.\nAnswer: -1, -2\/5, 0, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(-5\/6)*s)\/((s\/s**(-6))\/s))\/(s**2*s**(-1)))\/(s\/(s**(2\/15)*s*s)*s*s**1)**(1\/62) assuming s is positive.\nAnswer: s**(-3184\/465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4375, 8873, 13333, 17755, 22139, 26485, 30793?\nAnswer: 35063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.52 + -0.02. What is the closest to 1 in g, -0.2, -0.3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 292b9b (base 12) to base 16\nAnswer: a8527","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that l**4 + 192451*l**3 - 192454*l**2 - 384904*l = 0.\nAnswer: -192452, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 880 = 3*s - 14*s. List the prime factors of (s\/(-4) - 2) + -1.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*a - 5*v + 15, -5*a + 1174*v + 1164*v = 2339*v - 20 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -23.0948 times 0.13\nAnswer: -3.002324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -9*v**2. Let h(u) = 8*u. Suppose 3*f + 84 = 9*f. Let r(n) = 4*n + 13*n + f*n - 8*n. Let y(z) = -17*h(z) + 6*r(z). Give a(y(o)).\nAnswer: -36*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*l - 17*c - 69 - 71, 2*c + 12 = -4*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 245 and 140.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -637, -1249, -1837, -2389, -2893?\n\"Answer: 2*o**3 - 626*o - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2619.61388 rounded to 0 decimal places?\nAnswer: -2620","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 842 or 542?\nAnswer: 842","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2935 - 5)\/((-1)\/(-10)). Round g to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2589178892?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 79 + -103. Let p be z\/7 + 12\/28 - -3. Suppose n - 9*n = -p*n. Solve 0*g + 5*g + 2*m + 10 = n, g - 2*m = -14 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21913\/8 + 2730. What is the common denominator of (-4)\/12*((-183)\/30 - -1) and n?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n + 7. Let l be o(16). Let v = 9 + l. Suppose v = -3*k - 3*d + 144, 3*d - 36 + 127 = 2*k. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 222 - 253.9. Let r = n + 31.89442. Round r to 3 dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22.172 times -16.3\nAnswer: 361.4036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -49*a + 4. Let h be k(-2). Let s = h - 56. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the second derivative of -a**5\/20 + a**4\/6 - a**3\/6 + a**2\/2 + 2*a. Calculate t(3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3233119 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56)\/sqrt(4))\/sqrt(7) + 5.\nAnswer: sqrt(2) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 64721555 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -0.0063, 156, 1\/13, 5\/7?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -393.023 (b) -4\/3 (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2. Let i(p) = 2*p. Let x(a) = 30*a**2 + 2*a - 36. Let b(w) = -2*i(w) + 2*x(w). Let t(n) be the first derivative of b(n). Calculate t(s(g)).\nAnswer: 120*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2076 - 6385\/3. Let j = p - -51. Sort 0.14, -1\/8, j in descending order.\nAnswer: 0.14, -1\/8, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 423 = 5*s. What is the remainder when s is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in k**5\/3 + 485*k**4\/3 - 163*k**3 - 1457*k**2\/3 + 488*k\/3 + 324 = 0?\nAnswer: -486, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/8? (a) -2\/9 (b) -1\/11 (c) -146 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-5*(-3*sqrt(125)*-5 + sqrt(125) + -2 + 2)*1)**2 + -4).\nAnswer: -3999980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vztk when four letters picked without replacement from {z: 3, k: 9, t: 2, v: 3}?\nAnswer: 27\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26803 is divided by 6684.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 1:48 PM?\nAnswer: 1:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2517?\nAnswer: 3, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 4 - 7 = 0. Suppose -4*w + 3*w + y = 0, -5*w + 4*y + 5 = 0. Suppose -5*s + 5*i = -b*s - 327, -w*i + 609 = 4*s. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1256 + -2162. Let r = -600 - j. Suppose d - 1510 = -5*z, -z - 3*d + r = -2*d. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*b + 333 = -b. Suppose b*l - 34*l = 765. What is the hundreds digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fifteen quarters of a meter?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 11, u: 1}. Give prob of picking 2 a.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 95 and 34680.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0, 1, 38 in decreasing order.\nAnswer: 38, 2, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 621 and 644.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a micrometer in nanometers?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 24*r**4 + 41*r**4 - 17*r**4 + (6*r - 2*r - 2*r)*(2*r**3 - 2*r**3 - 2*r**3) - 2 + 3*r**4 + 2.\nAnswer: 47*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 227 by 48087.\nAnswer: 227\/48087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, v: 2, x: 6, e: 1, m: 2}. Give prob of sequence exxo.\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -28657 at least -28652?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 24*p**2 - 33*p + 60. Does 33 divide m(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1230 - 99?\nAnswer: -1309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -4) + 2 + -3 + 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 32349 = 4*x - 11468, -2*l = -5*x - 8349. What is the thousands digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*f - 2124475 = 338774. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -711?\nAnswer: 71.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-19)\/w**(11\/2) assuming w is positive.\nAnswer: w**(-49\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (3\/(-10))\/(32452\/(-7885) + 4) and 39\/340.\nAnswer: 2720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 55\/164?\nAnswer: 55\/164","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1369543\/27 or -50725?\nAnswer: -1369543\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/256 and 25\/9232?\nAnswer: 147712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 - -21. Let r = u - 5. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 0 (b) -7211 (c) -0.4 (d) 2\/7 (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1434 and 28833.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2\/7 (b) 29 (c) -1 (d) 30 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 147 and 18753.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1706 + -1705.8. Which is the nearest to -2\/3? (a) u (b) -68 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 171675, 343349, 515023, 686697, 858371, 1030045?\n\"Answer: 171674*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1149 + -1149. Solve -11*a + 5 + 6 = b for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-4\/9)*(j**(3\/4)\/j*j*j)\/j)**(15\/4)\/(j**(5\/3)*j**(2\/11)*(j*j**(-2))\/(j*j**(6\/7)*j)) assuming j is positive.\nAnswer: j**(11659\/3696)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -5 + 9 - 4\/4. Find the first derivative of -o*x - 9*x - 7 - 4 + 2*x wrt x.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j**5 + 14*j**4 - 14*j**4 + 2*j**5 + 0*j**4 + 0*j**4 + (69*j - 357 + 357)*(4*j - j**4 - 4*j).\nAnswer: -68*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -607 - -850. Suppose -48 = 240*i - q*i. What is the remainder when 131 is divided by i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6499.352 weeks in minutes?\nAnswer: 65513468.16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from imymy. Give prob of picking 1 i, 1 m, and 1 y.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/2)\/((-10)\/20) + 31. Suppose -31*n + p*n - 92 = 0. Let q = n + 97. Solve -4*r + 5*m - 28 = -0*m, q*m - 24 = 2*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1386 + 3386. Is h a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 4*c - 12 = -3*u, 0 = -3*c - 6. Suppose 0*p - 25 = -5*p, p - 5 = u*t. Suppose -3*l - 13 + 37 = t. What is the smallest common multiple of l and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, v: 6}. What is prob of sequence bvb?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6900952g to micrograms.\nAnswer: 690095.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 143329 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-53)\/159)\/((-1)\/(-9))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1 (b) 3\/8 (c) -197 (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 52131?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160 = -0*d - 3*d - 5*o, -5*d = 4*o - 245. Let j be 6\/(-4)*9\/(d\/(-10)). Let 6\/5*h**2 + 0*h + 0 - 12\/5*h**4 + 9\/5*h**5 - 3\/5*h**j = 0. What is h?\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 12:51 PM?\nAnswer: 8:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 55 + 61. What is the fourth smallest value in 3\/8, s, 4, 0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20 + 3 + 7 + 0 + 7 - 1 - -13\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -40.9 (c) 1526\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4662 and 84?\nAnswer: 9324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 539 divide 4282200?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 - 4 + 3*u**2 - 6*u - 8*u**2 - u. Let l = 31 - 9. Suppose -2 = -5*g - l. Give z(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10\/3 + (-1)\/3. Suppose -134 = -2*z + 2*l, h*z + 2*l - 189 = l. 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 cube root of 335149 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 - -8. Let g(b) = b**3 - 8*b**2 + 14*b - 9. Let d be g(6). Solve 5*n + q = x*q - 25, -d*q = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + k - 62 + 45 = 0, 3*k + 14 = 4*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 234 divided by -78\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 39*-10\nAnswer: -390","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = -3*g + 76, 116 = 114*c - 109*c + 3*g for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -42 - -37. Put 2, 0, l, -4 in decreasing order.\nAnswer: 2, 0, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -6*v**2. Let t(s) = -3*s - 8. Let j be t(-6). Suppose -2*c - j = -3*c - 2*b, -5*b + 28 = 4*c. Let w(n) = -n + c*n - 2*n. What is w(p(q))?\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22 + -14. Suppose 162 = 35*g - 83. Suppose 11*k = g*k + i. Solve -t + 3*a = -11, -k*a - 12 = -4*t + 2*a for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9c (base 15) in base 13?\nAnswer: -b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -c. Suppose -4*v + 30 = 5*y, -4*v - 7*y + 3*y = -28. Suppose 2*k = 3*p - 5*p + 188, -5*k + v*p + 460 = c. What is the tens digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.4562 + 0.0198. Let s = k + -0.376. Which is the smallest value? (a) -8 (b) -0.4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 803749115?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -2*o**2 + 2*o + 1. Let p be g(2). Let r = p - -5. Solve t - 3*s + 4 - 14 = 0, -5*s - 35 = r*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 b when two letters picked without replacement from {b: 1, u: 1, m: 1, c: 1, h: 2, i: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2271095, 2271080, 2271065, 2271050, 2271035, 2271020?\nAnswer: 2271005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -110189 + 710829241\/6451. Do 0 and m have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -3 (b) 1433 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -23632146.73 to the nearest 1000.\nAnswer: -23632000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(72) + 0)**2 + -1*(sqrt(72) + -1) + 1)*5*-1.\nAnswer: -385 + 30*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from osov. Give prob of sequence vs.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*l = -22*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2434667249 to the nearest integer?\nAnswer: 49342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -4*s - 13. Let h be i(-6). Let t(v) = -v**3 + 11*v**2. Let w be t(h). Let d be (-9)\/12 - 1\/(-2). Is d greater than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2062720 is divided by 41?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 4*h**2. Let a(y) = 14 - 9*y + 13 - 3 - 3. What is a(l(i))?\nAnswer: -36*i**2 + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/5 of a micrometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.71 to 1 decimal place.\nAnswer: -2.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by -19?\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -203 - 37 = -48*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 11) to base 4\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -30 + 18. Let b be (g\/(-8))\/((-9)\/(-12)). Suppose 0 = -3*a - u + 5*u + 783, -3*a + 789 = -b*u. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 + (-15)\/9)*-9. Let n be (-2)\/8 - u\/(-8). Let l = n - -4. Does 4 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.212 - -2.412. Which is the nearest to -2\/7? (a) 2\/15 (b) r (c) 47\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14550 and 6?\nAnswer: 14550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 54 - 53. Suppose -37 = -6*f - g. Solve d + 2*m = f*m - 17, -2*d - 22 = -4*m for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1047 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of t**7\/2520 - t**5\/120 - t**4\/36 - 5*t**3\/6 - 4*t. Let p(i) be the second derivative of m(i). Factor p(h).\nAnswer: (h - 2)*(h + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.8 - 1.5. Let o = 0.3 + -0.3. What is the nearest to o in 0.4, l, -1\/3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-14)*z**1\/z)**(-5)\/((z*z\/z**(-1\/5))\/z*z**(-7))**10 assuming z is positive.\nAnswer: z**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-14 + 0 - 13)*(6 - 4 - 3)*(-2 + 1 + 0)*(177*b - 17*b - 51*b) as x*b + r and give x.\nAnswer: -2943","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 90 = -f - 3*q, -153 + 521 = -64*f + 60*f - 12*q for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*w**2 + 13*w**2 + 8*w**2.\nAnswer: -13*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of -g**4\/2 - 5*g**3\/3 + 5*g**2\/2 - 5*g - 447. Let f(z) = 3*z**3 + 4*z**2 - 4*z + 4. Give -5*f(h) - 4*u(h).\nAnswer: -7*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 300 - 299.959. Let h = 0.541 - q. What is the closest to 0 in -3, h, 2\/3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -288, 4, 0.2, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ux when two letters picked without replacement from lxxwwtyuy.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -542613375.5 rounded to the nearest 10000?\nAnswer: -542610000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*n**2 - n**4 + 2*n + 4*n**3 + n**2 - 3*n - 5*n**3 to m + x*n**2 + q*n + l*n**3 + v*n**4 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 14959 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2357381699?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 13 + -2 + -5 + 8.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1\/2)\/((-7)\/112))\/((-1988)\/568).\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -3*j**3\/5 + 132*j**2\/5 + 576*j\/5 = 0.\nAnswer: -4, 0, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/(q**9\/q)*q)\/(q\/(q**(-10)\/q)*q) assuming q is positive.\nAnswer: q**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -8190, -3 in decreasing order.\nAnswer: 4, -3, -8190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1220.13 less than -2263220?\nAnswer: -2261999.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -715a (base 13) to base 12\nAnswer: -905b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/12)\/(2\/(-4)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 4412?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 10663 = 5*j, -5*s - 406*j = -407*j - 17725. Is s a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + -1354324?\nAnswer: -1354322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g + 33. Let f be x(0). Suppose 5*r - f = -4*m, -2*r + 0*m + 5*m + 33 = 0. Is r at least 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*r - 231 + 95 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*c + 4108 = 6*c. Let t = c + 800. List the prime factors of t.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in -0.4, -5, -1\/8335, 0.16, 0.5?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 379 is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_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: Let p(t) = 7*t**2 - 5*t - 9. Let k(c) = c**2 - c + 1. Give 6*k(j) - p(j).\nAnswer: -j**2 - j + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4378861099 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1151 + 1149.8. Let f = 5668874 + -5668875.2000005. Let b = l - f. Round b to 7 decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -4*r + 27. Let p be j(6). Let s be (-4 - -5)*(1 - -1). What are the prime factors of (s + 4\/12)*p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 4 = 5*t - 0*z, -z = 5*t - 24. Solve 3*d + 2 = -t*k - 1, -3 = 2*d + 3*k for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - y + 13, -y + 14 = p + 3*y. Let d(f) = f**3 + 8*f**2 - 7*f + 8*f**2 - 15*f**p + 3*f. What is d(-3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 9440.41 and -31.\nAnswer: 9409.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 3 o when four letters picked without replacement from {p: 2, s: 4, o: 3, c: 2}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 5324617?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w - 5. Let x be m(-8). Which is the closest to 1\/4? (a) 0 (b) x (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 434470 is divided by 192.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of p**6\/24 - p**3\/2 - p**2. Find the first derivative of q(i) wrt i.\nAnswer: 15*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3 - -2) + (-4)\/2. Let u(k) = 3*k - 3*k**3 - 2*k**t + 2*k**3 - 12 + 15*k**2. Let l(z) = z**3 - 5*z**2 - z + 4. Let p(b) = 11*l(b) + 4*u(b). Give p(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -2*d. Let h = 322 - 324. Let r(i) = 4*i**2 - 36*i. What is h*r(s) + 36*l(s)?\nAnswer: -8*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.06702 * -0.5\nAnswer: -0.03351","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 28 - -41. Let p = r + -37. Suppose 3*t - 46 = q + p, 18 = t - 3*q. Is t a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g + 10. Let q be (1 + 3 - 0)\/2. Let s be q\/(-9) - (-116)\/36. Let z be f(s). Solve 0 = 5*j + 3*k - 25, 2*j - 5*k = -8 - z for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83019247 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 91493 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 7*j + 59. Let c be l(-6). Calculate the greatest common factor of 289 and c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, x: 1, a: 1, u: 3, z: 6}. Give prob of sequence zzau.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + -16 + -14 - 4?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 973\/16 or 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 11.3 (b) 0.3 (c) 14.23174\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17246 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -208*v = -182*v + 73 + 57. Let i(w) = -w**2 + 3*w + 41. Calculate i(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8053964.\nAnswer: 2, 2013491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -211*s + 182*s = -29. Let u = -3 - -6. Suppose 39 = u*k - 2*g, -3*k = -k - 4*g - 34. Solve -k = 3*t + s for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -239383639 take away -3?\nAnswer: -239383636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8868 is divided by 403.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101101110011100101100 (base 2) to base 10.\nAnswer: 1500972","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(5)*-3*-3 - 2*-2*sqrt(5)) - (sqrt(600)\/(sqrt(12) + sqrt(24)\/sqrt(2)))\/(sqrt(640)*-3 + sqrt(640)))**2.\nAnswer: -1251*sqrt(5)\/16 + 878661\/1024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y - 13 + 12*y + y.\nAnswer: 11*y - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23 + -25. Let i be 1*(r + (-1 - -4)). Let q(t) = -t - 1. Calculate q(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -251 times -2\nAnswer: 502","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + -106. Let s = u - -10. Let v = s - -108.2. Round v to the nearest integer.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 - 11*n - 66. Give m(-10).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28*i**2 - 3734*i\/7 + 190\/7.\nAnswer: 2*(i - 19)*(98*i - 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -46*d + 1021. Let r be i(22). Let q(l) = l**2 - 4. Let n be q(3). Find b, given that -12*b - 22*b**2 + r*b**2 + n*b**2 + 12*b**2 + 8 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38820*o = 5*q + 38825*o - 100, 5*q - 92 = 3*o for q.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - -16?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of 0*f**5 + 4*f**2 + 0 + 1\/35*f**7 - 1\/40*f**6 + 0*f + 0*f**3 - 1\/112*f**8 + 0*f**4. Factor s(b).\nAnswer: -3*b**3*(b - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.0393 and 5102810?\nAnswer: 5102809.9607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28500?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, p: 1, b: 4, z: 3, y: 2, l: 4}. What is prob of picking 2 l and 1 z?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -4, 0.5, 101?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*x - 6*x + 7*x**5)*(0 - 3 + 2)*(-1 - 1 + 4).\nAnswer: -14*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-10)*3*(-420)\/945\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 4 + 488762*w + 4 - 1 + 5 - 488827*w.\nAnswer: -65*w + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = c - 32, 4*c + 5*h - 10 = 43. Let i be (-1248)\/39*(-58 - 2). Suppose 3*b - i = -c*b. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-32 - -15 - -20) + -11\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand i**2 - 5*i**2 + 0*i**2 + (1 + 0 - 9)*(5*i**2 - i**2 - 3*i**2).\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 4*j + 46 = -138, 5*j = -4*h + 725. Suppose 5*i + 609 = -2*w, -h = -3*i - 4*w - 537. Let r = i + 656. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of g**6\/300 + g**5\/50 + 7*g**2 + 3. Let q(r) be the second derivative of s(r). Let q(b) = 0. What is b?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-108)\/(-144))\/((-30)\/(-16))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uoouuooooouooooouo. Give prob of sequence oooo.\nAnswer: 143\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, u: 3, g: 4, d: 1, b: 6}. What is prob of sequence bqu?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 166 = -8*t + 1270. Let k = 6 - 1. Suppose -12 = -k*q + t. List the prime factors of q.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 6602, 8743, 10884, 13025, 15166, 17307?\n\"Answer: 2141*w + 4461","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2*y - 17. Let c be l(10). Let i = c - -57. What is the greatest common factor of 220 and i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22635 (base 7) in base 10?\nAnswer: 5808","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 3*x + 13, 3*x - 7 = -k + 2*x. Suppose -d = -5*m + 22, 3*m = -k*d + 3 + 18. Let n(c) = c**3 - 2*c**2 - 5*c + 2. What is n(d)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7\/20 + 263\/20. Let p(f) = f**2 + 14*f + 14. Let n be p(-14). Is n <= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1169 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence utu when three letters picked without replacement from ngutn?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 487465883?\nAnswer: 487465883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1360 and 14960.\nAnswer: 14960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -3*y**2 + 239*y + 88. What is h(80)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/3)\/((4\/12)\/1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 970 = 7*g - 1816. What is the remainder when g is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 532385821 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) + (sqrt(117) - (2 + sqrt(117) + 2 + sqrt(117)) - sqrt(117)) + (sqrt(117)*-3 - sqrt(117)) + 1 + -4)**2*-2.\nAnswer: -5948 - 420*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 62376094*k**4 - 22174958 wrt k?\nAnswer: 249504376*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 89 or 91?\nAnswer: 89","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/85, 1\/38, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, q: 1, f: 1}. Give prob of picking 1 f and 2 r.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.9 + 0.1. Let u = 70 - 67. What is the biggest value in 5, u, s?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 95746 and 5782?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17 - -2) + -3 + (-7 - 0 - -2).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 28220 divided by 3\nAnswer: 28220\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 357541?\nAnswer: 29, 12329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0*1\/(-2) + 2. Let y = 2 + c. Suppose 0 = y*a - 19 - 5. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -110*v**6 - 113*v**4 + 18*v**2 + 9*v - 23 wrt v?\nAnswer: -13200*v**3 - 2712*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 87\/(-160776)*-77 - (-466)\/(-8880)\nAnswer: -2\/185","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1272.\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.1, 1, -0.2, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -82 + 23. Let d = l - -58.5. Let q(c) = c**3 + c**2 - c + 1. Let p be q(0). What is the third biggest value in d, 1\/3, p?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000518722 rounded to four decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 198 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10469, -41073, -92047, -163391, -255105, -367189, -499643?\nAnswer: -652467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -143269*n**3 + 104563*n wrt n?\nAnswer: -859614*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.266041725 rounded to five decimal places?\nAnswer: -0.26604","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bv when two letters picked without replacement from vrivffbbfvvbcbvv?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/2 (b) -4 (c) -15\/7 (d) 1 (e) 0.165 (f) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*p**2 - 22898*p + 11674*p + 9339*p as t + b*p + i*p**2 and give b.\nAnswer: -1885","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1705, 1773, 1841, 1909, 1977?\n\"Answer: 68*p + 1637","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -485990 rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do -21720 and -20655 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z**3 + 6*z**2 + z + 5. Let k be h(-5). Let r be ((-42)\/(-2))\/(2\/(-10)). Let f be 2\/(-3) + k\/r. Which is bigger: f or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2231 is divided by 247?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from blbblffbflfljfbbbfff. What is prob of picking 1 j, 1 b, 1 f, and 1 l?\nAnswer: 224\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 313*p - 3 + 1734*p)*(-p + 2*p + 5*p)*(2 - 5 + 4).\nAnswer: 8526*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26577281 and 811.\nAnswer: 811","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-98)\/21)\/((-2)\/(-3)). Let z = 18 + p. What are the prime factors of z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26\/11, -2, -12, 37\/28, 0.4.\nAnswer: -12, -2, 0.4, 37\/28, 26\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*h**3 - 221*h**3 - 116*h**3 + 692*h**3.\nAnswer: 398*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/3 (b) -2\/15 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 - 3*x - 4. Let l be v(4). Let k = 21\/8 + -47\/24. What is the second smallest value in k, l, -4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/69 (b) -0.4723 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 divided by 61.\nAnswer: -18\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (1010\/(-2020))\/(10\/(-4))*(-15)\/72?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 42 - 17. Let x = d + -19. Suppose 2*o = -x*o + 24. Solve 0 = -o*u - 5*f - 17, 0 = 5*u - 4*f - 0*f - 21 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x + 9. Let y be u(10). Let i be (1 - 18)\/(20\/(-32)). Let k = i + -27. Which is greater: y or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 36 - -99. What are the prime factors of k?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 4 = 2*j - 8, 4*j = 4*d + 16 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 485, 2022, 4745, 8786, 14277, 21350, 30137, 40770?\n\"Answer: 22*s**3 + 461*s**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(28))**2 + -2.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.64687 millennia in centuries?\nAnswer: 6.4687","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 556678 rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 901 + -890. Let j = -52 - -74. Calculate the greatest common factor of d and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*q + 3*q + 2*q + (4*q - 2*q + 9*q)*(2 + 0 - 5) + (q - 3*q + q)*(3 - 2 + 1) - q - 6*q + 3*q.\nAnswer: -37*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the third derivative of s**8\/336 - s**6\/60 + s**4\/24 - 18*s**2. Factor v(y).\nAnswer: y*(y - 1)**2*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-220)\/(-33)*(-18)\/(-8). Let v(r) = -479*r - 15. Let l be v(w). What is l rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of q**5\/30 + q**4\/12 + 2*q**2 + 4*q. Let i(o) be the first derivative of a(o). Factor i(p).\nAnswer: 2*p*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2595 is divided by 25?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/3 and -3.7808 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 421151?\nAnswer: 113, 3727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (10 - 1) + -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110 + 222201001?\nAnswer: 222201111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (123*x + 168*x + 52*x)*(0*x + 0*x - 2*x) + 8 - 9*x**2 - 8 as j + r*x + h*x**2 and give h.\nAnswer: -695","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 4*h + 24. Solve 2*s + 2 = -h for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.05, 1.1, -1\/2, -1\/5, 37, 5 in descending order.\nAnswer: 37, 5, 1.1, 0.05, -1\/5, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 5*n**2 - 306*n + 1031. What is i(58)?\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z\/(z\/(z\/z**(-3))))\/z)\/(z**0*z*z))\/((z*z**6)\/z**(1\/2)))\/((z\/(z*z**(-5\/6)))\/z**(-4))**(2\/41) assuming z is positive.\nAnswer: z**(-1411\/246)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -217 divided by 1378\nAnswer: -217\/1378","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 PM and 2:54 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 10:27 PM?\nAnswer: 1:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 37\/(5735\/2511)*9\/(63\/(-35))\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*b = 30*b - 3*y + 970, -68 = -b - 2*y. Suppose x + 2*c - 8 = 62, -x = -2*c - 70. Calculate the highest common divisor of b and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1554327, -3108660, -4662993, -6217326, -7771659, -9325992?\nAnswer: -10880325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 29848 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: Is 2\/7 greater than -506\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - 10) + 4 - 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b**4\/2 - 3351*b**3\/2 - 36775*b**2\/2 - 116925*b\/2 - 41750 = 0. Calculate b.\nAnswer: -3340, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/8*(207\/(-54) + 4)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 211 + -211.2. Which is the closest to -0.03? (a) r (b) -1 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(20)\/(4*sqrt(4)*-2) + sqrt(35)\/(sqrt(7) - sqrt(252)) + 3*sqrt(245))*-3.\nAnswer: -2481*sqrt(5)\/40 - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -3\/8, -1.56, 6\/11, 2\/9, 5 in decreasing order.\nAnswer: 12, 5, 6\/11, 2\/9, -3\/8, -1.56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -15475 greater than 0.152?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 - 60234991477467?\nAnswer: -60234991477467.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 18882227653 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (428\/(-535))\/((-1 - -3)\/(-10)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 34*c + 103. Let u(b) = -32*b - 104. Let s(p) = -4*u(p) - 5*v(p). Is s(-38) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 6985, 11654, 16323, 20992?\n\"Answer: 4669*f + 2316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 297 + -302. Let r(o) = -2*o - 8. Let d be r(-6). Sort k, 0, d in increasing order.\nAnswer: k, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 - 22*i**2 - 23*i - 29. What is v(23)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 27 = -3. Suppose -5*g + 9 = -p, 2*g - l*g = 5*p - 13. Let f = p + -8. Which is smaller: f or -6?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -40 + 63. Let a = i - -44. Let v = a - 67.0000148. What is v rounded to six decimal places?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -23*b**2 + 7 + 4*b + 25*b**2 + 20*b**3 - 3 - 5. Let h(t) = -59*t**3 - 6*t**2 - 11*t + 3. Give -11*c(a) - 4*h(a).\nAnswer: 16*a**3 + 2*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 2*a + 25 = 2*a - 1, 6*a = -0*r + 2*r + 68 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 + 2 - 0)\/1. Let i = y + 1. What is the remainder when 26 is divided by 8 - (-2 + i)\/1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(((-6)\/9)\/((-103)\/(-3))). Let y = -82 + d. Let t = y + -92. Calculate the greatest common factor of 2 and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 786214, 1572433, 2358652, 3144871?\n\"Answer: 786219*f - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*t*u**5 + 3669*t*u**4 - 7*t*u**2 + 165*t*u - 220*t - 184*u**3 + 3*u wrt u?\nAnswer: -360*t*u**2 + 88056*t*u - 1104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 38.9565288 minutes?\nAnswer: 0.003864735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate z**3 + 3319120*z**2 - 63244878 with respect to z.\nAnswer: 3*z**2 + 6638240*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-1 + (sqrt(208) - sqrt(208)*-2) - (2*sqrt(208) + 2))*-1)**2 + 0.\nAnswer: -864*sqrt(13) + 7812","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -3*p**3 - 3*p**2 + p - 3. Let k be t(-3). Calculate the highest common factor of 240 and k.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1918, 1908, 1874, 1804, 1686, 1508, 1258, 924?\nAnswer: 494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 AM and 8:54 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1523462?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 - 38*y**2 - 32*y + 83. Does 24 divide m(39)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*z + 3*n - 32, 5*n = -4641*z + 4639*z - 19 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2 + 17*n + 22. Let m be u(18). Suppose 2*w + m*w = 30. Let g(f) = 5*f. Let d(q) = 16*q + 16*q + 12*q + 1 - 53*q. Calculate w*g(k) + 3*d(k).\nAnswer: -2*k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (4 + -3 + 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 138657.89 days in weeks?\nAnswer: 19808.27","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 925637 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7346604, 14693209, 22039814, 29386419?\nAnswer: 36733024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 76\/(-6)*30\/(-10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*3\/(-12)*-4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 7*g - 4*g. Let c be 1 + (2 - 2) + -1. What is the third derivative of 2*d**6 + d**6 + c*d**2 - 2*d**g + d**2 wrt d?\nAnswer: 120*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 7*g**5 - 9*g**4 - 12*g**3 + 4*g**2 = 0?\nAnswer: -1, 0, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(1008))**2 + -4 + -2*sqrt(1008)*-4 + sqrt(1008) - (sqrt(1008)*-1*-3 + (-2*sqrt(1008) + sqrt(1008))*4)**2)*-1.\nAnswer: -36*sqrt(7) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 0.2. Let u = z + -0.3. Let q = -1 + -1. What is the nearest to u in 1, -5, q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14492 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -69762\/5 + 13953. Let h(l) be the second derivative of 0 + 7\/30*l**3 + t*l**2 + 1\/60*l**4 - 5*l. Factor h(v).\nAnswer: (v + 1)*(v + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*m**2 + 0*m + 9*m + 7*m - 13*m - 65*m**2 as a*m + u*m**2 + w and give u.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 14, 36, 72, 122, 186, 264?\n\"Answer: 7*q**2 + q + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 341561 is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 258 is divided by 53.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d**4 - 618*d**3 - 40728*d**2 - 872928*d - 2878848 = 0.\nAnswer: -84, -34, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 17*l**2 - 7*l + 2. Let w(r) = r + 1. Let m(o) = i(o) - 2*w(o). Let f(b) = 9*b**2 - 5*b. What is 11*f(g) - 6*m(g)?\nAnswer: -3*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 546*g + 547*g + 35*g**2 - 8*g**2 - 1109*g as m + i*g + u*g**2 and give i.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 672900086?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -24*d**5\/5 + 1328*d**4\/5 - 11002*d**3\/3 + 12530*d**2\/3 + 17934*d\/5 - 22638\/5 = 0?\nAnswer: -1, 7\/6, 21, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -8 - (69\/(-92))\/(-1 - 1986\/(-1824)). What is s in 0*s**2 + 0*s + l*s**5 + 20\/9*s**4 + 16\/9*s**3 + 0 = 0?\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1293 - 187 + 457)*(3*x - x**2 - 3*x) as k + u*x**2 + i*x and give u.\nAnswer: 1023","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -27\/4, 2\/5, -4\/3, 1\/37, 2?\nAnswer: -27\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -99 - -102. Suppose -4*g + c - 6 = 3, n*g - 4*c - 3 = 0. Put g, -1, 0, 2 in decreasing order.\nAnswer: 2, 0, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28907 is divided by 14391.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t - 159 = 5*t + 5*a, 3*t = -3*a + 99. What is the lowest common multiple of 14 and t?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 259291 to the nearest 10000.\nAnswer: 260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of y**6\/120 - 9*y**5\/20 + 175*y**4\/24 + 11*y**3\/6 - 7988*y**2. What is z(16)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 12593, 25222, 37851, 50480?\n\"Answer: 12629*q - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of g**6\/180 - g**5\/5 + 5*g**4\/3 + g**3\/3 - 23*g**2\/2 + 47*g. Let l(m) be the second derivative of y(m). What is h in l(h) = 0?\nAnswer: 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -2*n**3 - n. Let i be a(-1). Let f = -49 + 55. Let s = f - i. Solve 5*g = t - 13, -s*t - 2*g = -1 - 4 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84.44464 millimeters in meters?\nAnswer: 0.08444464","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 1509705.\nAnswer: 1\/1509705","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, z: 7, x: 9}. Give prob of picking 1 z, 1 u, and 1 x.\nAnswer: 63\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 5*x**2 + 84100*x. Let c(b) = -b. Determine c(q(o)).\nAnswer: -5*o**2 - 84100*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - 2*h + 70, -3*n + 0*h + 50 = h. Find the third derivative of 150*r + 27*r**2 + n*r**6 - 150*r wrt r.\nAnswer: 1800*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 455961552?\nAnswer: 2, 3, 9499199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 0*o = -20. Suppose -o*y + 8 = -3*y. Let f be 54\/12*(-4)\/(-3). Solve -y*r + 2*j + f = 0, j = -3*r + 4*r + 1 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (21\/(-42))\/(1\/1106). Let c = 1185\/2 + v. Calculate the common denominator of c and -94\/15.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55835 is divided by 55771?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2ae84 + c2?\nAnswer: -2adc2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 - -0.761.\nAnswer: 0.961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -28 - -14 - -9?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - 215\/45 - (-33)\/(-27)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12\/(-14)*-1*7. Let n = 2 + p. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/33, 5, 2\/11, -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 11 = -2*d, 3 + 5 = 4*m - 5*d. Let u be m*(4 + (-94)\/24). Suppose -4*b + 3*l = -17, -b = 3*l - 5 - 3. What is the closest to 1 in -9, b, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1237*i - 105818 + 31598 for i.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/6 + 142*7\/(-42). Let o be 2023\/5 - w\/60. Suppose -5*v + o = 5*k, -4*v - 211 + 31 = -2*k. What is the greatest common divisor of k and 126?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -318, -14, -1\/6 in increasing order.\nAnswer: -318, -14, -4, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 148685?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113*a + 114*a = 8. Suppose 0 = -a*k - 61 + 477. What is the highest common divisor of k and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(102)\/sqrt(2))\/sqrt(3)*5 - ((sqrt(68)\/sqrt(4) + 2)**2 - sqrt(68)\/sqrt(4)*2)).\nAnswer: -21 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a litre in millilitres?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54.45587ml to litres.\nAnswer: 0.05445587","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 49414155 to the power of 1\/2, to the nearest integer?\nAnswer: 7030","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3607075 is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -289 - -288.8. Sort q, 0.5, -0.19, 9.\nAnswer: q, -0.19, 0.5, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 64, 0, 2.\nAnswer: -1, 0, 2, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m - 12 - 8 + 20. Let p(d) = -25*d**2. Give p(b(o)).\nAnswer: -25*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 319355 (base 10) to base 12\nAnswer: 13498b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -2*g**2. Let a(t) be the second derivative of t**4\/6 + 5*t. What is x(a(l))?\nAnswer: -8*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -302 - 16*h + 302 - 2*h.\nAnswer: -18*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 7075493 plus -11.3254?\nAnswer: 7075481.6746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*x + 0*x + 33968644*x**3 - 33968640*x**3.\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2431 and -4181.2432294.\nAnswer: -6612.2432294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u + 1. Let l = 13 + -8. Let r be l - (6 + -5 + 4). Suppose -5*c - 5*b + 5 = r, 4*c - 10*b = -12*b + 10. Calculate s(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 80424229 to the nearest integer?\nAnswer: 8968","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 90 - 45. Let i = -61 + y. Let u = 15 + i. Is u > 0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*w**5 - w**3 + w**3 + 56*w**4 - 179*w**5 - 56*w**4 - 1 + w**5 + 1 + (0*w**4 - 2*w**4 + 3*w**4)*(-1 - w + 1) - 6*w**5 + 3*w**5 + 2*w**5.\nAnswer: -183*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 939.\nAnswer: 3, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.05 greater than or equal to 3627886?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3695 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 18*l + 938. Let r be b(-52). Factor 2\/19*i**r + 2\/19 + 4\/19*i.\nAnswer: 2*(i + 1)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q - 2*q + 16*q)*(3*q**3 - 3*q**3 - q**3) + (2*q**3 - 8*q**3 + 2*q**3)*(4*q - q - 6*q).\nAnswer: -6*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the third derivative of 0 - 92*p**2 + 59\/30*p**5 + 0*p**4 + 0*p**3 + 0*p. Let l(n) = -5*n. Determine t(l(w)).\nAnswer: 2950*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/15228507?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*w**5\/4 + 6141*w**4\/4 - 77931*w**3\/2 + 400302*w**2 - 1441800*w - 178848 = 0. Calculate w.\nAnswer: -3\/25, 12, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4990 and 7330.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = i + 2. Let p be 0 - (i + 0 + -1). Suppose 0 = -3*s - p*m + 164, -2*m = -s + 3*m + 83. Does 29 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6725228 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11958 (base 15) to base 16.\nAnswer: -db2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -28 + 30. Let n(z) = -84*z**2 + 89*z**2 - z**3 - 2*z**3 + x*z**3 - 2*z - 4. Suppose 0 = -3*a + 5 + 4. Calculate n(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3815742 by -987.\nAnswer: 3866","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, 1\/59, -2.2, -1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 177 (b) 893\/12 (c) -0.2 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 16*s + 6. Let w = 44 + -43. Let h be j(w). Let n = 75 - h. What are the prime factors of n?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-748)\/(-119))\/(-22) + 2\/(-7)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/23 or -5843?\nAnswer: -5843","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -784*q**4 + 2240*q**3 + 332*q**2 + 12*q = 0. Calculate q.\nAnswer: -1\/14, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20*j**5 + 18*j**4 + 10746*j**2?\nAnswer: 1200*j**2 + 432*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -14*g - 99. Let f(j) = 58*j + 402. Give -3*f(s) - 13*x(s).\nAnswer: 8*s + 81","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -2*u + 11 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -4. Let g = -7728\/29 - -38524\/145. What is the nearest to g in 3, d, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 293737, 587477, 881217, 1174957, 1468697?\nAnswer: 1762437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 225*g - 219*g = 30 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-9)*-6)\/2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 217649 and 138851?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 67\/(-5) + (-10)\/(-25). Let s(x) = -x**3 - 14*x**2 - 13*x. Let a be s(d). Let l = 37 + a. Is l a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-30) + 1097858\/12293380?\nAnswer: -2\/187","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3161060 and 49448010?\nAnswer: 692272140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 131198 to the nearest integer?\nAnswer: 362","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (6 - (-1 + -4 + 8)) + -5\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0011259 to 4 dps.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 2160928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = 2*b + 3*n, 2 = -b - 4*n + 19. Is b a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 9*a**3 - 110*a**2 + 25*a - 1. Let f be s(12). What is the greatest common factor of 869 and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 318258166272095\/28242 + -11268967008. Let k = h + 34\/523. Calculate the common denominator of k and 65\/12.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 15, -8*x - 17 = -4*x - 5*j. Find the second derivative of -6*o**3 + 3*o + x*o**3 - 16*o**3 wrt o.\nAnswer: -120*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 161*c - 458. Is 38 a factor of w(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - b0b?\nAnswer: -b08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9026 is divided by 301?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**3\/5 - 21734*r**2\/5 + 43462*r\/5 - 4346.\nAnswer: 2*(r - 10865)*(r - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of -q**5\/40 + 4*q**3\/3 + 6*q. Let u(l) be the second derivative of c(l). Let s(d) = d. What is u(s(g))?\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t + 1. Let x(n) = -12*n**3 + n**2 - 2*n - 3. Determine -3*p(c) - x(c).\nAnswer: 12*c**3 - c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*j + 105 = 9*j for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -29 + 61. Let m = q + -21. Let o = 11.0000002 - m. Round o to six dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 260 divided by 1396659.\nAnswer: 260\/1396659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 - -23. Let n = 100 - 83. Suppose 294 = -i*u + n*u. List the prime factors of u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 323 + 10\/(-3)*(-6)\/5 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9452, 9451, 9450, 9449, 9448?\nAnswer: 9447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -34 or -1\/31?\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -3*y + 345, 3*y + 0*y + 15 = 0. Let l = f + -53. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 85*x**3 + 857?\nAnswer: 255*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -2*d + 155. Let i be x(0). Let q be (i\/10)\/(1\/2). Let u = q + -11. What are the prime factors of u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 f when three letters picked without replacement from {f: 4, y: 1, m: 4, c: 2}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 101, 104, 101, 86, 53, -4, -91?\nAnswer: -214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 37248 less than 396\/43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.5 + 2. Let v = -19083.4 + 19083. Which is the biggest value? (a) l (b) 4 (c) v (d) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1422 or -1429?\nAnswer: -1422","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 0 - (252\/(-18) + 3).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32 and 1552.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1851072 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -87, -190, -291, -390, -487, -582, -675?\nAnswer: -766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 15*n - 1. Let m be (1*9)\/((-12)\/(-4)). Suppose 4*z - 7 = m*c, -c - 4*z = -0*z - 3. What is v(c)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-16)\/k**(3\/2)*(k**4)**48 assuming k is positive.\nAnswer: k**(349\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/(-4*3\/(-6)). Let s(o) = -2*o**3 - 6*o**2 + 19*o. Let i be s(-5). Suppose k - c = i*k - 133, x*k = c + 123. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -277 + 277.0000284. What is m rounded to 5 dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/11 + (-560)\/(-220). Suppose l*n + 75 = 5*y - 3*n, -21 = -3*y - 5*n. Sort 0, -3, y.\nAnswer: -3, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*h + h - 2*h + (2*h - 6*h + 3*h)*(1 - 4 + 1) + 21 - 8*h - 21)*(0*h**2 + h**2 - 4*h**2) in the form g + d*h + t*h**3 + x*h**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1\/5 + 2\/15. Let t = 11523 + -11518. Put t, 0.16, a, -0.1 in descending order.\nAnswer: t, a, 0.16, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fqeg when four letters picked without replacement from {e: 1, o: 1, q: 1, g: 2, k: 1, f: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 1)*(-4*r**3 - 2*r**3 + 3*r**3) - 2*r + 2*r + 2*r**3.\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 5808+90196891\nAnswer: 90202699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0745395 grams in kilograms?\nAnswer: 0.0000745395","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 722171?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vsw when three letters picked without replacement from svsmnmwnasm.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 75 + -75.3. Put -0.5, 0, 3\/2, b in decreasing order.\nAnswer: 3\/2, 0, b, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + -175203?\nAnswer: -175202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 387546898?\nAnswer: 2, 101, 1918549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -2, 0.07453, 1\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -5*o + 2*r, 4*o + 5 = -3*r - 10 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14979 is divided by 1925.\nAnswer: 1504","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 10 = -2*s - 42, x + 9 = -5*s. List the prime factors of x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/((-4)\/(-6)*(-9)\/8).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 622\/7 + -89. Let b = 3413 - 30769\/9. Find the common denominator of b and m.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 5582 and 4.\nAnswer: 5586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (196\/(-56))\/(1\/(4 - 2)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 365400 and 2923200.\nAnswer: 2923200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -989*y + 23. Let m(z) = -3*z**2 - z + 3. Let q be m(-2). Let l be k(q). Suppose 0 = i + s - 1459, -4*i + s = -l + 1100. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4663 + -1736. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 + -4.94. Let h = 0.16 - a. Let o = 0.06 + -0.16. Is h at least as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 132*s - 8701. Let r = 6 - 2. What is the remainder when i(66) is divided by r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4cac39 (base 15) to base 8.\nAnswer: 16026340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 47, 91, 125, 149, 163, 167?\n\"Answer: -5*n**2 + 59*n - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 4 + 4 + (-1 + 4 - 1)*(1 - 2 + 4) + 3 + 2 - 2)*(-3*j**2 - 2*j**2 + 4*j**2) to l + v*j + h*j**2 and give h.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of y**2*z**2 + 4241*y**2*z + 652*y**2 + 343948*y*z**2 - 56*z**2 wrt y.\nAnswer: 2*z**2 + 8482*z + 1304","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -41960205.\nAnswer: -83920410","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 567 or 1\/483?\nAnswer: 1\/483","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-483)\/(-70) + 24*(-6)\/(-1440) + (-5)\/(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-11)*x**(-6\/7)*x\/x**(-12)*x*x**(-2\/49) assuming x is positive.\nAnswer: x**(103\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 + -6. Let n(a) = 3*a + 8. Suppose -27*y - 20 = -22*y. Let s be n(y). Sort 1, -1, s, d in descending order.\nAnswer: d, 1, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 + q + 5. Let t be 48\/(-32)*(-20)\/6. Suppose 5*o = -t*o. List the prime factors of z(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(1\/10)*c)\/c**(-22))**(8\/5) assuming c is positive.\nAnswer: c**(924\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 - 148*m + 549. Determine a(4).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 - 3*r - 2. Give s(-3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7.75 + 10.7. Let l = a + 0.05. Let h = -142 - -571\/4. What is the third smallest value in -0.4, l, h?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28664058.\nAnswer: 2, 3, 43, 241, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -2*g. Let t be -2 + (g - (-1 - 0)). Let x be (t + -2 + 1)\/(-2). Which is smaller: x or 2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10493693?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 70\/5*13\/(-26)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6873\/212 - -3663239\/113208. Find the common denominator of -11\/8 and d.\nAnswer: 2136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b**2 - 6*b**2 - 7*b**2 + 0*b + b**2 + 0*b + (-2*b + 1 - 1)*(-3*b + 6*b - 2*b) + 1 - 1 - b**2.\nAnswer: -17*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4766339 is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8444003?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (71 - 131 + 120)*(2*w - w + w - 1).\nAnswer: 120*w - 60","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10593? (a) -91 (b) -2\/39 (c) 0.5 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 346260 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: Let m = 12 - 8. Let t be -2*(-1 - -2) - -1. Let d = t + -1. Which is the third biggest value? (a) -0.4 (b) d (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2143373\/521892 + 4\/18639. What is the common denominator of 27\/136 and m?\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 546810 and 220.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -214, -54, 226, 638, 1194, 1906?\nAnswer: 2786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 124 - 124. Suppose 0 = 3*z - v*z - 1575. Suppose 2*l - z = -5*l. What are the prime factors of l?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/14394 and -49\/43182?\nAnswer: 43182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1103, 1866, 2287, 2372, 2127, 1558, 671, -528?\nAnswer: -2033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1348606927.\nAnswer: 181, 7450867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 - 25*i + 5 - 1 as s*i + m and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 456d (base 14) to base 3\nAnswer: 121112102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/1518721 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (65\/(-39))\/((-20)\/12). Calculate the greatest common divisor of r and 35.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -588 times 31\nAnswer: -18228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 432359312 and 770?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1101071 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/(-50)*(-45)\/(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence df when two letters picked without replacement from {f: 3, d: 4, o: 4}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -108*n + 20. Let y(l) = -2*l**2 - 28*l - 51. Let p be y(-12). What are the prime factors of w(p)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 74\/24)*(-219)\/146 - 395\/(-40).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100100000010 - -100?\nAnswer: -100011111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 41034\nAnswer: 4103.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.14 in -5, 0.5, 786, 208?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1a9 + 7?\nAnswer: -1a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (458 + -455)\/((-48)\/87 + (-5)\/(-10))\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76426.\nAnswer: 2, 7, 53, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.19 and -1991.8?\nAnswer: 1991.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**2 + 8792*c - 132780.\nAnswer: 4*(c - 15)*(c + 2213)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 116*w**2 - 111*w**2 + 0 + 63*w**3 + 45*w**2.\nAnswer: 63*w**3 - 182*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*c**3*q**3 - 258043671*c**3*q - c**2*q**3 + 5*c**2*q**2 - 88*c*q**2 + 40174*q**2 wrt c.\nAnswer: -12*q**3 - 1548262026*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3987560?\nAnswer: 2, 5, 99689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wbfw when four letters picked without replacement from {q: 3, f: 5, w: 2, b: 3}?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 2*w**3 + 3*w**2 - 3. Let y(n) = -6 + 11 - 2*n**3 + 51*n**2 - 1 - 23*n**2 - 32*n**2. Give -4*x(q) - 3*y(q).\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-120)\/390)\/((-2)\/(-5))*1\/((-25)\/(-30))\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34 - 34 - 112*p**3 - 113*p**3 + 218*p**3.\nAnswer: -7*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -9. Let j = -41 + 28. Let p = j - -12.7. Which is the smallest value? (a) f (b) -5 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -443 - -447. Let n(s) = -s**3 - s**2 + 2*s - 2. Let m(c) = -2*c**3 - 3*c**2 + 5*c - 5. What is f*m(w) - 10*n(w)?\nAnswer: 2*w**3 - 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, y: 2, d: 2}. Give prob of sequence dkyy.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 32 = 6*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*q = 7*q - 16 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence clr when three letters picked without replacement from mlmmmrmclcrrmrmmr?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 38 - 110 - 33*u + 50. Is n(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9\/36 + 222\/8. Let r = s - 13. List the prime factors of r.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 286953140.\nAnswer: 2, 5, 149, 96293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7322003755 + 12.\nAnswer: 7322003767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(4\/5)*i**(-1\/4))\/((i\/(i*i**(-1\/5)*i))\/(i*(i**(-13)\/i)\/i)) assuming i is positive.\nAnswer: i**(-253\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/44 and 63\/220.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 51 * -6.\nAnswer: -306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 44 and 21802.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4767757845 to the power of 1\/3, to the nearest integer?\nAnswer: 1683","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 8*p**3 + 7*p**2 - 11*p + 2. Suppose -5*n - 8*i - 367 = -281, -4*i = 5*n + 58. Let u(x) = 7*x**3 + 6*x**2 - 10*x + 2. Determine n*o(d) + 7*u(d).\nAnswer: d**3 - 4*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 38*g**3 + 5*g**2 - 5. Let v(o) = 341*o**3 + 44*o**2 - 44. Suppose -2*q + 2 + 19 = 5*y, 4*y = -2*q + 16. What is y*v(r) - 44*f(r)?\nAnswer: 33*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**2. Let c(g) = 2*g + 0 + 10*g**2 - 9*g**2 + 2. Suppose 0 = 4*m + m - 45. Let b(a) = -5*a**2 - 9*a - 9. Let z(t) = m*c(t) + 2*b(t). Give i(z(p)).\nAnswer: -p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 113 = 4*v - 7*v, -4*j + v = 133. Let l be (-2)\/(j\/6)*2. Factor -l*b + 1\/4 - b**2.\nAnswer: -(b + 1)*(4*b - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5813895101?\nAnswer: 7, 19, 43713497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2.558872 - 4\nAnswer: -1.441128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 - 4*t**2 + 4*t. Let l(m) = -7*m**2 + 4*m - 18. Let r(x) = 12*x**2 - 7*x + 30. Let q(y) = 5*l(y) + 3*r(y). Determine 20*q(p) + 5*z(p).\nAnswer: 5*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29037\/17765 + 3\/1615. Calculate the common denominator of b and 65\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 11 = -h - 2*l, -l - 5 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 6 (b) -1 (c) 147 (d) -3 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-13)\/(-65)*-5*0. Solve 177*u + 5*j = 174*u, -u + 5*j - 20 = a for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of -w**4\/8 - 2*w**2. Let y(p) = -3*p**2 + 2*p. Let t(o) = -13*o**2 + 9*o. Let c(m) = -2*t(m) + 9*y(m). Give c(d(g)).\nAnswer: -9*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.131 and 0.4.\nAnswer: -0.0524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 39763001399 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -2124*d**2 - 1 + d + 433*d**2 - 1 in the form w + s*d**2 + h*d and give s.\nAnswer: -1691","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10011 + 12121?\nAnswer: 2110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*h**2 + h - 3*h + 40*h**2.\nAnswer: 34*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gzzz. What is prob of sequence gz?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2 + 4*c - 1. Let a = -1 - -4. Let v be d(a). What is the third derivative of 2*s**6 + s**2 + 4*s**v + 3*s**2 - 4*s**2 wrt s?\nAnswer: 240*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 32 - 97\/3. Let d(t) = 2*t**3 - 5*t - 6. Let l be d(-5). Let k = -2539\/11 - l. Put k, z, 1\/4 in decreasing order.\nAnswer: 1\/4, k, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-178 - 33*b + 178)*(-9*b - 337 + 338 - 3*b)*(4 + 3 - 6 + 4 + 1 - 4 + (-1 - 1 + 3)*(0 - 2 + 0) + 2 - 6 + 2) to v*b**2 + u + p*b and give p.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*i**2 - 7*i + 7*i.\nAnswer: 9*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 0 - 4 = 0. Is n >= -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53181?\nAnswer: 3, 19, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 w when two letters picked without replacement from iimymywymkkkvw.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23 is divided by 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 826 and 17582?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -3 + -1 - 8 - -2.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48 and 120.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, 1, -9 in ascending order.\nAnswer: -9, -3, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dddgdddd. What is prob of sequence dgg?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11? (a) 0.3 (b) -34 (c) -4 (d) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 11) in base 15?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 16\/15 of a hour?\nAnswer: 3840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -2\/5*f**4 - 8\/5 + 0*f**3 + 2*f**2 + 0*f = 0. What is f?\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -81 - -77. Let m be (i\/(-7))\/(200\/(-4)). Is 0 > m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -5*r**2 + 3*r + 3. Let c(d) = d**2 + d. Let x(z) = -2*z**2 - 3*z - 1. Let h(v) = 3*c(v) + x(v). Let q(a) = -4*h(a) - p(a). Give q(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58338.\nAnswer: 2, 3, 7, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-2) - 4\/40*5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7\/4? (a) -113\/27 (b) 4 (c) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -0*u + 3*s - 170, -2*u + 190 = -2*s. List the prime factors of u.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3.524 and 2.2.\nAnswer: 7.7528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 5. Let w = m - -4. Which is the nearest to 1? (a) w (b) -0.2 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90109 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 66 - 64. Solve -m*x = -4*x - 5*v + 19, x + 3*v = 11 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*b - 8*b + 30*b + 59*b.\nAnswer: 75*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 15*b**3 + 11*b. Let i(l) = -4*l**3 - 3*l. Give -6*f(k) - 22*i(k).\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 208, 45, -116, -275, -432, -587?\n\"Answer: q**2 - 166*q + 373","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fn when two letters picked without replacement from {n: 6, f: 3, e: 3, i: 1, q: 2}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, n: 1, r: 1, d: 1, x: 2, s: 1}. Give prob of sequence sm.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8155 and 768900?\nAnswer: 5382300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -62 (base 11) in base 4?\nAnswer: -1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20465, 0, -248, 3 in increasing order.\nAnswer: -20465, -248, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -2*z + 3*z + 29, 3*v = -z + 11. Let k be (4\/z)\/(1\/(-7)). Let h(c) = c - 2. Let y be h(k). Calculate the greatest common factor of y and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 51\/(-34)*(-12)\/18. Let f(m) = 158*m + 2. Let n(u) = 315*u + 4. Let t(s) = -11*f(s) + 6*n(s). Does 14 divide t(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q**3 + 3*q**4 - 3*q**3)*(1 - 2 - 9).\nAnswer: -30*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 - 19*b**2 + 16*b - 16. Let c be n(18). Find the common denominator of (183\/(-180))\/(13\/c) and -59\/35.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85969.03 grams in nanograms?\nAnswer: 85969030000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1175925*g**2*m**3*w**2 - 91*g**2*m*w + 2399*g**2*w - g*m**3 - 3*m**3*w**2 - 2*m*w wrt w.\nAnswer: 2351850*g**2*m**3 - 6*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 324 and 4991337.\nAnswer: 179688132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -68\/175 and 59\/300?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-10)\/(-1) - (9 + -5). Suppose -u*i + 4*i - 2 = 0. Let b = 11 - i. Solve 7*a - 4*a - b = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -6. Calculate the remainder when ((-19)\/((-76)\/(-120)))\/((-4)\/2) is divided by u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2\/(-2)*2 + 10 and 11.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8832 is divided by 355?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3993887 a multiple of 199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -251, -543, -845, -1163, -1503, -1871, -2273, -2715?\nAnswer: -3203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 19*u - 16*u - 78, u + 61 = 2*a. Solve 12 = -a*l + 32*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9293 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 PM and 5:36 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ill when three letters picked without replacement from {l: 8, u: 7, i: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j - 2. Let h be w(4). Let g be (h\/4)\/(4\/88). Suppose a = g + 14. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 69 - 63. Suppose -d = -5*c - 6*d + 25, 2*c - 2*d - 14 = 0. Is c at most f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1576 + 7 + 0 + -1 + 3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -3*k + 11. Let u be c(4). What is the second biggest value in -3, u, -0.1, 0?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 - 21*g - 18. Let m be z(22). Solve 0 = -t - 5*b - 0 + 6, -m*t - 10 = 3*b for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 - 28 = -p - 3*q, -2*p - 5*q = -23 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 6 = 11 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 0 + -3 + (82 - 17) + -65\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 10551 and -0.133465.\nAnswer: 10550.866535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 58\/18 - 4\/18. Let k be 3\/p + 6\/3. What is the third derivative of -4*n**k - 21*n**2 - 2*n**2 - 3*n**3 + 12*n**3 wrt n?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of o**8\/5040 - o**7\/840 + o**6\/360 - o**5\/10 + 3*o**2. Let n(f) be the third derivative of g(f). Factor n(h).\nAnswer: 2*(h - 1)*(2*h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.3923 + -0.1979. What is y rounded to 2 decimal places?\nAnswer: -0.59","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 272708145 to the nearest integer?\nAnswer: 648","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3dd9 + 213d?\nAnswer: -1c9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2210 + -1121?\nAnswer: -11101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 179, -2567, 2 in descending order.\nAnswer: 179, 2, -2567","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((30\/(-7))\/6)\/((-25)\/10). Which is the biggest value? (a) u (b) 160 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.3 times -360803?\nAnswer: 829846.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 570 = -3*o. Suppose -3*h + o = 3*h. What is the highest common factor of 57 and h?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10100010 (base 2) to base 11.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/45 and 48\/1265?\nAnswer: 11385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 - 8*a**2 + 8*a - 7. Suppose 86 = -5*o - 3*j, 5*o - 13 + 89 = 2*j. Let p = o - -23. Let d be q(p). Solve d*i = 4*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -3*g. Let m(v) = -38670*v**2. What is m(z(f))?\nAnswer: -348030*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 less than -4\/171?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/3 + (-3 - 280\/(-15)). Let o be (5\/(-2))\/((-20)\/w). Solve 2*x - 6 = -o for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -26 in -5, 0.1, -123?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/(-20)*-5)\/(2\/30). Suppose 24*k - i = 19*k. Let h(r) = -r**2 - r - 1. Let s(v) = v**3 + 3*v + 3. Determine k*h(w) + s(w).\nAnswer: w**3 - 3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/(p*p**(1\/4)*p))\/p*p)**(-2\/21))**(-35)*(p**(-1)\/(p**(-3)\/p))\/(p**(1\/10)\/p**(6\/11)) assuming p is positive.\nAnswer: p**(-119\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1068945 + 337*d + 1068945 + 183*d**3 + 2*d**4 wrt d.\nAnswer: 24*d**2 + 1098*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 973?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*z - 18*z + 0*z + (-2 + 2 + 2)*(-5 + 3*z + 5) as f*z + y and give f.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 8*s**3 + 3*s. Let k(l) = -95*l**3 - 35*l. Suppose -4*d + 4*j + 292 = -3*d, 0 = -4*d + 3*j + 1155. Let g be 2\/(d\/140 + -2). Calculate g*t(r) + 3*k(r).\nAnswer: -5*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -2*y**2 + 22*y - 2. What is the least common multiple of 20 and m(10)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2065726.\nAnswer: 2, 13, 79451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 544 - 524. Solve o + f = -3*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((324\/88)\/9)\/(15\/20).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 48\/5 of a kilogram?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -456717.8528 + 59.8528. Let s = 456791.9869 + o. Let b = -134 + s. What is b rounded to 2 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 4) to base 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 - 4*c**2 + 6*c + 12. Let k = 70 + -66. Suppose -v = 2*w - k*w - 7, 0 = -w - v - 8. Determine u(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/5, 1\/4, -1, 0.03, -0.086?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1271 is divided by 77.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11\/(-5))\/(((-456)\/120)\/(-19)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, m: 5, w: 3, t: 5}. What is prob of picking 3 t and 1 b?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 35 + 81. Suppose 5*f = 3*g + 19, 2*g + 5*f - x = -0. Suppose g*u - 1 = -3. Sort 1, 2, u.\nAnswer: u, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(0 + sqrt(684))*5*1 - ((sqrt(684) + 1*(-1 + sqrt(684) + sqrt(684)) + 1)**2 + 2).\nAnswer: -6158 - 180*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(441)*-2)\/((sqrt(9) + sqrt(27)\/sqrt(3))\/sqrt(3)).\nAnswer: -7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-32)*228 + -13?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (4004\/1386)\/(755\/1359)\nAnswer: 26\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.4*11317268.\nAnswer: 15844175.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -36.3 (b) 2 (c) -2\/5 (d) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 10:52 AM?\nAnswer: 5:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tclj when four letters picked without replacement from {c: 1, j: 1, l: 1, x: 1, t: 2, s: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -25026 + -3050?\nAnswer: -31106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -112 - 21?\nAnswer: -210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*m + 52*m + 89 = 36 - 361 for m.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 23 + 3 - (928 - 905). What is w in 23\/2*w + 10*w**2 - 9\/2*w**3 - z = 0?\nAnswer: -1, 2\/9, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57 less than 2851496140?\nAnswer: 2851496083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -38 + 42. Let o be ((-2)\/6)\/(y\/60). Is (2\/o + (-4106)\/10)*-1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of 0*j**6 + 0*j**4 + 0*j**5 - 13\/42*j**7 + 0 + 0*j**2 + 4\/3*j**3 + 9*j. Find the second derivative of h(a) wrt a.\nAnswer: -260*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 191*i**2 - 30178*i + 305. What is b(158)?\nAnswer: 305","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12076 - (-14)\/7 - -5. Suppose -3*u + s = 2*w - 4*u, 2*w - 12089 = -u. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 24290148908 from -40.54.\nAnswer: -24290148948.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 - 3*w - 3. Determine p(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -409683 and 469.\nAnswer: -409214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 60\/14 - (37\/7 - 5). Let q(w) = w**2 - 12*w + 20. Let u be q(10). Suppose u*v - h*v + 616 = 0. What are the prime factors of v?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1706*d + 1473334 + 15*d**2 - 1473334 + 1706*d.\nAnswer: 15*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 17 = j - 14, 4*w - 4*j + 12 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 - 5*a**2 - 7*a + 9. Let y be w(6). Solve y*k - 25 = r + 7*k, r - 10 = 3*k for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 11 = -4*i - 8, 0 = i - 4*f + 10. Let v be (-4 - i) + (-6)\/(-2). Suppose 0 = v*n - 161 - 94. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 65 + -65. Solve 5*o - 4 = -g, 3*g + q*o = o + 12 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 20*v**3 + 2*v**2 + 2*v + 1. Let r be b(-1). Let d = -2 - r. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -2*o + 3575, -438*o - 8945 = -443*o - y. Calculate the greatest common factor of 110 and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 4*n - 3. Let v(c) = c - 1. Let j(r) = -l(r) + 3*v(r). Let q(s) = 2*s. Give q(j(t)).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -0.32\nAnswer: 0.064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 718 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (529 + 602 - 189 - 51 + 563)*(-3 + 3 - 2*n**3).\nAnswer: -2908*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t - 2*t + 3*t)*(-3*t**2 + 2*t**2 + 0*t**2) + (0*t + t + t)*(434*t**2 - 221*t**2 + 710*t**2).\nAnswer: 1844*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + -11120?\nAnswer: -11111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 42465, 84916, 127345, 169740, 212089, 254380?\n\"Answer: -2*q**3 + q**2 + 42462*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 h when two letters picked without replacement from {i: 3, h: 1}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -120, -468, -1048, -1860, -2904, -4180, -5688?\n\"Answer: -116*m**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (5 - 12) - -10\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.21483cm to micrometers.\nAnswer: 12148.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide 2400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 216 in 3, -5, 424, 3\/5, 0.4?\nAnswer: 424","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u + 7*u + 1047 = 5*p, 0 = -p + 5*u + 215. Does 10 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6\/2)\/(20 - 19). Solve -g*p = -0*p + 9 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 11:20 AM?\nAnswer: 5:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (((3*sqrt(108) + sqrt(108))*-4)**2 - (2 + -2*sqrt(108))**2).\nAnswer: 48*sqrt(3) + 27216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q + 2. Let z be p(6). Let t(m) = 6*m - 183. Let r be t(31). Solve -3*c = 2*o - 6, -10 = -z*c + r*c - 2*o for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -9*v - 47. Let r(s) = -s. Let z(l) = -3*r(l) + x(l). Let t be z(-8). Sort 0, t, -5.\nAnswer: -5, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - 1. Let c = 3\/14 + 2\/7. What is the nearest to c in w, -2, -3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9016434643 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 670273 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 5*r - 2*r - 15, -6 = 2*w - 2*r. Let y be -5 + w\/(-2) + 4. Suppose y*a - 17 = -3. Calculate the highest common factor of 14 and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l**3 + 278*l - 177379*l**2 + 0*l**3 + 177379*l**2 to the form b*l**2 + u*l**3 + y + i*l and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51.81*-0.03.\nAnswer: 1.5543","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2*f - 15. Let m be l(16). Suppose 4*g - m = -5*n - 251, 0 = 2*n + 4. Let r = g + 58. Is 11 < r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 38 and 589?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5.686 and -30.9.\nAnswer: -36.586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-282)\/470 - ((-48)\/5 + 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 31 + -96. Let g = x - -125. Let r = 99 - 59. What is the highest common factor of g and r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(242) - (sqrt(242) + (sqrt(242) - sqrt(242)*1) + 5)) + sqrt(242))**2 + 0.\nAnswer: -110*sqrt(2) + 267","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 - -9. Solve 2 + 0 = -2*m + 4*l, -2*m + 3*l = w for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69830086 to the power of 1\/3, to the nearest integer?\nAnswer: 412","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (30 - 30 + 66*y)*(7 - 12 - 9) in the form j*y + u and give j.\nAnswer: -924","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 6:09 AM?\nAnswer: 4:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -422300869*c**4*g - 599401734*g wrt c?\nAnswer: -1689203476*c**3*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do -124 and -124 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 4, b: 1, d: 4, v: 6, c: 2}. Give prob of picking 1 n, 1 b, and 2 c.\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 - 41*g - 130. Give u(43).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c\/((c**(-1)\/c*c)\/c)))\/c**(4\/21)*(c*c**(1\/17)*c)**(-4\/23) assuming c is positive.\nAnswer: c**(-29137\/8211)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from ggggpgpipp.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 753299.3 litres in millilitres?\nAnswer: 753299300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -13983c8 + 2?\nAnswer: -13983c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 315\/26 + -8\/13. What is the common denominator of k and (5\/((16\/116)\/(-2)))\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -7*i**3 - 12*i**2 + 22*i - 32. Is c(-13) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6547 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*n + 5*n**3 + 6*n**2 + 0*n - 4*n**3.\nAnswer: n**3 + 6*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23)\/(-2) - (-6 + (-22)\/(-4)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (302 + 242 - 113 + l)*(49 - 10*l**4 - 49).\nAnswer: -10*l**5 - 4310*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 - 169*z - 2687. Give c(-151).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -2*s + 11. Let r(n) = -n**3 - 11*n**2 - n - 8. Let o be r(s). Let z(g) = 2*g. What are the prime factors of z(o)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 87*j - 34. Let n(o) = 2*o**2 + 604*o. Calculate n(v(c)).\nAnswer: 15138*c**2 + 40716*c - 18224","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 3*d - 30 = 0, -34*n + 78*n = 45*n + 3*d - 20 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -29 + 143\/5. Let r = 1049 - 1046. Let m be (4\/(-9))\/(2\/3). Which is the closest to x? (a) m (b) -0.2 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2 - 6377*r + 12750.\nAnswer: (r - 6375)*(r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -4*r - 0*r, -r = 5*g + 5. Suppose -5*z + 45 - 10 = g. Let o = 21 - z. Does 7 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 + (-812 + 817 - (-1 + 4 - (70 - 1)))\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 6*n - 96 = 0. Let v = n + 116. Calculate the remainder when 20 is divided by 1\/(-3) + v\/6.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z**4\/3 + 31694*z**3 - 6188780*z**2\/3 = 0 for z.\nAnswer: -47606, 0, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*k + 4*k + 112. Suppose -k = t - 5*t. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40*-10.\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 12) + -4 + 10.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 287*y + 2320 = 1042 - 1018 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/2*1)\/(245\/(-196))*5\/(-94).\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7 and 39961.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 86675 and 53?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 4*x**2. Let l(s) be the second derivative of s**4\/6 + 13*s. Calculate l(p(r)).\nAnswer: 32*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23 + 23. Suppose l*u - 5 = -u. What is the second derivative of 6*b + 5*b**3 + 0*b**3 + 3*b**4 - u*b**3 wrt b?\nAnswer: 36*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2a0 (base 11) to base 16.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 210 = 36*x - 26*x. Let q be 9\/18 + 14\/(-4) + x. Factor -10*j - 3*j**2 + 7*j + 24*j - q.\nAnswer: -3*(j - 6)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -4240*f**4 - 12745*f**3 + 4165*f**2 + 12745*f + 75 = 0?\nAnswer: -3, -1, -5\/848, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tllhottto. Give prob of picking 1 l, 1 o, and 1 h.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g + 7*g - 4*g + (-3 + 3 + 2*g)*(1 + 1 - 4) - g + 2*g + g)*(2 - 1 + 2).\nAnswer: -9*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of m**6\/20 - m**5\/10 - 7*m**3\/6 + 8*m**2. Let s(x) = 4*x**3 - 4*x**2 - 5. Give 5*j(h) - 7*s(h).\nAnswer: 2*h**3 - 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-26*p**3 - 18*p**3 + 13*p**3)*(6*p + 0*p + 1 - 8*p) in the form d*p + u*p**4 + k*p**3 + v + f*p**2 and give u.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19218842?\nAnswer: 2, 19, 505759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-74092)\/(-5))\/2 - (-349)\/(-1745)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/4)\/((-270)\/(-90))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*(-21)\/126 - (-1 - (-309)\/36)?\nAnswer: -27\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 1\/42, -5780, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*-2*4\/8?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -936 = 7838*x - 7814*x for x.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-7)\/1 - (-71)\/(284\/(-48)). Sort -1, -8, m in descending order.\nAnswer: -1, -8, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 17*x - 14*x - 2*x**2 - 9*x)*(-2 + 1 + 2) in the form f + c*x + i*x**2 and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in three eighths of a week?\nAnswer: 3780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 - (-3)\/(-1))\/(-2). Solve 3*u + o*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 150 and 9400.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -10 + 1008552?\nAnswer: 1008542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 111.3, -2, 0.05?\nAnswer: 111.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pdp when three letters picked without replacement from {p: 3, f: 1, m: 1, t: 4, d: 6}.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 15922\/342793?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.07, -6\/23, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 999296?\nAnswer: 2, 37, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5382*b + 3084*b + 2177*b - 1355*b.\nAnswer: 9288*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*h**2 + 69*h**2 + 0*h + 0*h - 142*h**2 + 56*h**2.\nAnswer: 10*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 + (-12 - (27 + (-20 - -6))) + 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21e421 (base 15) to base 12.\nAnswer: 660104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rororpprr. Give prob of sequence pp.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3335566 or -3335564?\nAnswer: -3335564","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*d - 48 = 12*d. Solve -d*z = -10*z - 18 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 96 = -4*g + 2*u, -2*g + 60 = -5*u. Let d(p) = -p**3 + 25*p**2 - 5*p + 126. Let x be d(g). Solve 2*b = b - x for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25571801 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121 = -4*z + 6*z - v, 0 = 3*z + 4*v - 165. Suppose -z = 5*g + 16. Let c = -10 - g. Is 2 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1374473*j*o**4 + 3099*j + 2*o**4 - 469*o wrt o?\nAnswer: 16493676*j*o**2 + 24*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 9 - a**4 + a - 2 to the form d*a**3 + r*a**2 + x*a + h + y*a**4 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108328 is divided by 592?\nAnswer: 584","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in nine tenths of a minute?\nAnswer: 54000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 0*m - 4 = 4*m, g - 2*m - 4 = 0. Let t(x) = 4*x + 3 - 5*x + 3*x. What is t(g)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d + 6*d - 5*d + (18 + 5 + 7)*(d - 3 + 3) - 3 + 2*d + 3.\nAnswer: 33*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10\/(-55) - (2 - 251829\/33). Suppose -2*f + 1 = -9, -2*b = 5*f - n. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9399 + 15856. Let w = -275255 + m. What is w rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*r**2 - 32*r + 44*r - 20*r**2 - 12*r.\nAnswer: -33*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k*k\/(k*(k\/((k*((k\/(k*k*k**(2\/57)*k))\/k)\/k*k)\/k))\/k)*k*k)\/(k**6\/k))**(-2\/21))**(-3\/13))**(2\/43) assuming k is positive.\nAnswer: k**(-164\/31863)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of -j**4\/4 + 7*j**2\/2 + 8*j. Let q(l) = l**2 - 37*l - 6. Let u be q(0). Let v(r) = 7*r**2 - 15. Give u*v(y) - 13*o(y).\nAnswer: -3*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 2*y, 0 = 5*m + 5*y - 2*y - 22. Is (m - 3) + 9 + 2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q + 1 - 1)*(-q**2 + 3*q**2 + 9*q + 13*q).\nAnswer: 2*q**3 + 22*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -524.34 - -522. Which is the biggest value? (a) 0.2 (b) 0.1 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qg when two letters picked without replacement from qgf?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 13775738513 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*o + 14*o + 4144 = 0. Calculate the highest common divisor of o and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20705046?\nAnswer: 2, 3, 3450841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0.01 (b) 1 (c) 59\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 1:14 AM?\nAnswer: 3:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -2*r**2 - 3*r - 4. Let k be j(-3). Let y = k + 26. Is y a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 2 e when four letters picked without replacement from yeieyyeieyiieeiiyye?\nAnswer: 105\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -83 (b) -1 (c) -0.1 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 10*u**4 + 59566*u**3 + 688722*u**2 - 5338270*u + 2021300 = 0. What is u?\nAnswer: -5945, -17, 2\/5, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(2\/5)*g*g)**(-2\/21)*(g**0)**(-37\/3) assuming g is positive.\nAnswer: g**(-34\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -122*r - 5. Let v(y) = 117*y + 1. Determine -2*v(l) - 3*x(l).\nAnswer: 132*l + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2 - d. Let u = 14 + -11. Let y(h) = 4*h - 3 - 2*h**2 - 7*h + u. Determine 4*k(a) - y(a).\nAnswer: -2*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 822667, 1645354, 2468055, 3290770?\nAnswer: 4113499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**6*((m*m*m*m**(-1)*m)\/m)\/m)**(-2\/55)\/(m**(5\/3)*m*m**5*m*m\/m**(-3)*(m**(2\/31)\/m)\/m) assuming m is positive.\nAnswer: m**(-56192\/5115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 180864 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**4 + 138*z**3 - 441*z**2 + 12*z + 588.\nAnswer: 3*(z - 2)**2*(z + 1)*(z + 49)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -2*c. Let a be (-4)\/(-14) - (-1015)\/49. Let w(m) = 7*m - 9*m - a*m. Calculate k(w(j)).\nAnswer: 46*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 + 9.1. What is the third smallest value in m, 1, 5\/2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*k - 6*k - 469 + k**3 - 3*k**3.\nAnswer: -2*k**3 + 10*k - 469","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -40 - -46. Solve 3*r = 5*i + 7, 2*i + h = -3*r + r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17081*g**2 + 17081*g**2 + g**3.\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/938320 and -47\/5920.\nAnswer: 1876640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 - 3*p**2 + 4 + (2 - 1 + 0)*(-5*p**2 + 0*p**2 + 4*p**2) + 112 - 26261*p + 26261*p - p**2.\nAnswer: -5*p**2 + 112","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 t when three letters picked without replacement from {l: 1, k: 2, t: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*h - 4*h + 5*u - 7, 3*u = -h + 1. Put 9, -0.2, h in ascending order.\nAnswer: -0.2, h, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v + 12*v - 18 = 0. What is the remainder when v is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -9*t**3 - t**2 - 2*t - 1. Suppose 0 = -2*b - 2. What is the units digit of c(b)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14*p**6 + 1593854*p**3 + 91*p**2 - 4*p - 53390 wrt p.\nAnswer: 1680*p**3 + 9563124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17866.\nAnswer: 2, 8933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, d: 1, o: 1, r: 7, m: 1, w: 9}. Give prob of sequence de.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(288) + (sqrt(288) - 2*sqrt(288))*5)\/sqrt(8))\/((2*sqrt(300) + sqrt(300))*3).\nAnswer: -4*sqrt(3)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 128099286 divided by -126.\nAnswer: -1016661","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -86 or -6323\/74?\nAnswer: -6323\/74","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 57 - 48. Solve l = 6*q - 15 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.0083 - -8.4483. What is w rounded to 0 dps?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 9 - 1. Let d = -2251\/588 + 526\/147. Which is the closest to -4? (a) d (b) z (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 36*b + 40*b - 31925, 5 = -5*b. Is 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 6091 is divided by 44?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 20, 2*b + 3*x - 5*x = 8. Let d be (-6)\/4 + (-4)\/8*b. Is d\/(7280\/(-2426) + 3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -70 + -54 + (39 - -23)\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uubb when four letters picked without replacement from {u: 9, b: 2}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zezzzzzzzzzzzf. Give prob of picking 2 e.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(1100)*6 - (sqrt(44) + 5 + sqrt(88)\/sqrt(2))))**2.\nAnswer: -672*sqrt(11) + 34532","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -21.4172.\nAnswer: -2.14172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 45 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by 778145.\nAnswer: -9\/778145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94318?\nAnswer: 2, 7, 6737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39*(68\/(-22) - -3) and (169\/(-130))\/(8\/(-70))?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 475 is divided by 238?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 PM and 4:39 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/24)\/((-14)\/(-24))\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of -p**4\/12 + 59*p**3\/6 + 4*p**2 + 58*p. Let w(x) = -x**2. Give w(d(h)).\nAnswer: -4*h**2 + 236*h - 3481","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 3*u + 6)*(-6*u**2 - u**2 - u**2) + 4*u**2 - 2*u**3 - 4*u**2 to t*u + v*u**3 + r + x*u**2 and give v.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12155 + 16831. List the prime factors of u.\nAnswer: 2, 7, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-3) + 1 + 4\/6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 451458 and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -30*y**2 + 2*y + 43. Let d(f) = f**2 + f. Let x(s) = 4*d(s) - 2*q(s). What is the derivative of x(l) wrt l?\nAnswer: 128*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/22 and 73\/89298.\nAnswer: 89298","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 389*g - 388*g - 19 = -4*o, 4*g + 8 = 5*o for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) 0.03 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 156*k**2 - 29*k**3 + 25*k**3 - 313*k**2 + 157*k**2. Let a(c) = 3*c**3. Determine -6*a(b) - 5*p(b).\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 3*i**2. Let b(n) = -n. Let d(f) be the third derivative of f**4 - f**2. Let s(r) = -16*b(r) - d(r). Calculate u(s(a)).\nAnswer: 192*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 5*l - 8 = 0, 2*u = l + 3 + 8. Let r(o) = o - 3. Let n be r(u). Suppose -3*d = m + n*m - 435, 5*m = -2*d + 435. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7911)\/293 - 741\/(-27) - (-3332)\/(-693)?\nAnswer: -48\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -y**4\/2 + 39*y**3 - 77*y**2\/2 = 0.\nAnswer: 0, 1, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (7 - (12 - 5)) + -3 + 13 - -3\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 5:02 AM?\nAnswer: 4:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d - d + 55*d + (-2 + 4 + 0)*(1 - 1 + 2*d))*(0*d**2 + 2*d**3 + 0*d**2).\nAnswer: 110*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 58 + 8. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 34458 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11.22 + -11. Let g = 35671\/19820 - -1\/3964. What is the smallest value in g, 4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s. Let x(m) = -2*m - 3. Let q(y) = 4*l(y) + x(y). Let b = 8 - 7. Let w(f) = -f + 1. Give b*q(v) + 4*w(v).\nAnswer: -2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 - -13. Calculate the smallest common multiple of 6 and a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -200480093\nAnswer: 400960186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -2*h - 20. Let g be a(-10). Calculate the remainder when 2\/8*(g + 164) is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = j - 20. Let h = -0.5 + 0.5. What is the nearest to h in -4, j, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in f**3 + 3699*f + 6*f**3 - 1706*f + 27*f**3 - 1993*f.\nAnswer: 34*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1136609 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13990?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (((-396)\/11)\/(15\/(-8)))\/((-3)\/60*6)\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.03 and 28924.89.\nAnswer: 28924.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2835.8 + 3128. Let t = 292 - r. What is the nearest to 164 in 0.2, t, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 262.08 rounded to the nearest 10?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence faf when three letters picked without replacement from afzfzozoozzzfzayozz?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 8:37 PM?\nAnswer: 5:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 335801849, 671603700, 1007405549, 1343207396, 1679009241, 2014811084?\n\"Answer: -c**2 + 335801854*c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 3 - 5)*(12 - 12 - 16)*(-79758*z**2 - 85*z**3 + 79758*z**2) as x*z**3 + l + p*z + f*z**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 91324, 0.4, -12, 3\/4?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4180.\nAnswer: 2, 5, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -17, -44, -109, -230, -425, -712, -1109, -1634?\n\"Answer: -3*f**3 - f**2 - 3*f - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((5*sqrt(500))\/sqrt(10) + sqrt(50))\/(sqrt(20)\/(sqrt(2)*-5)))**2.\nAnswer: 4500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1510*x + 821370 = 1605*x. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 107691 divided by -6\nAnswer: -35897\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2461265481?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together 13 and 16543017.\nAnswer: 16543030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.329769 rounded to two decimal places?\nAnswer: 0.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -28*x. Let m(d) = -2*d**2 + 4*d**2 + 5*d**2. Let w(u) = 11*u**2. Let h(b) = 8*m(b) - 5*w(b). What is h(p(f))?\nAnswer: 784*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from yzyyyyyz?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 - 11. Suppose 2*p - p + 14 = d. Let v = 15 + p. Sort -2, -1, v in ascending order.\nAnswer: -2, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3327769?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 g when two letters picked without replacement from {c: 1, g: 2}.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/((693\/6930)\/(6\/20)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2726008475.99999964 - 2726008527. Let v = -10655 - -10604. Let w = q - v. What is w rounded to seven decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-45)*-12*3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-10)\/10)\/(1\/(-4)). Suppose n - q*n = -45. Suppose n = c - 1. Calculate the lowest common multiple of 2 and c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 5, x: 9}. What is prob of sequence xxx?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 2*b - 5*a - 7, -9 = -5*b - a. What is the second derivative of 3*f**2 - b*f**2 + f + 2*f + 9*f wrt f?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*r**2 + 13*r**2 - 7*r**2 + (-1 + 0 + 3)*(r**2 - 1 + 1))*(20 + 31 - 6).\nAnswer: 720*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3058712.\nAnswer: 2, 433, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-2\/27)*b*b**(-2\/11)*b)**18*((b*b\/(b\/b**(-8)))\/((b*b*b**(2\/11))\/b*b))\/(b**(-2))**(3\/7) assuming b is positive.\nAnswer: b**(10103\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 7*q**3 - 9*q**2 - 5*q - 2. Let f(h) = -h**3 + 8*h**2 - 10*h - 7. Let b be f(6). Let v(w) = 3*w**3 - 4*w**2 - 2*w - 1. Determine b*v(s) - 2*j(s).\nAnswer: s**3 - 2*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0474965 decades to months.\nAnswer: 5.69958","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-5)*5\/60*-20.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 AM and 11:48 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 118 and -3.3.\nAnswer: -389.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13067.\nAnswer: 73, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ctc when three letters picked without replacement from {t: 2, u: 4, c: 5}?\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1 or -1.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -65 - -68. Suppose d - 2*d = -5*g + 2991, 0 = o*g + d - 1793. Is 46 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 304*p + 24 + 60*p**2 + 7*p**3 + 20 - 40. Let l(z) = -6*z**3 - 60*z**2 - 303*z - 3. Let b(h) = -4*l(h) - 3*v(h). Suppose b(s) = 0. What is s?\nAnswer: -10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 7270*f + 3736777. Determine d(-514).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*o*y**2 - o*y + 45409*o + 273*y**2 wrt y.\nAnswer: -10*o*y - o + 546*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 - 8. Let y(a) = -a**3 + 7*a**2 + 6*a + 19. Let o be y(8). Suppose n = 3*r + 12, k*n = -r + o*r + 36. What is the highest common divisor of 24 and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*z = 7*z + 12320. Is 2*9753\/(-4)*z\/120 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of -q**6\/60 - q**5\/10 + q**2. Find the third derivative of h(w) wrt w.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 44716?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 42 + -28. Let s be 2 + o + 8 + -5. What is the second derivative of 6*c - 6*c**2 + 7*c**2 - s*c wrt c?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1071, 33, -25, 0.1, -1?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the second derivative of -3*n**4\/7 - 2*n**3\/7 - n**2\/14 - 11*n. Factor j(w).\nAnswer: -(6*w + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/42966 and -37\/67518.\nAnswer: 472626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5759*d*i + 66*d + 75448*i + 4 wrt d.\nAnswer: -5759*i + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*s = 16 - 195 - 126 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1838*z = 2070*z - 2320 for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 645 divided by -645?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 886739*q**2 - 1409028 with respect to q.\nAnswer: 1773478*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 858*m - 12852. Calculate n(15).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/38674 and 47\/1832.\nAnswer: 35425384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -2*k + 94, -47 = -2*i + i + 2*k. What is i rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -572.6955 times -0.5\nAnswer: 286.34775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 153\/1120766 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*l - 42 = 18 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -5. Let s(z) = z**2 + 3*z - 5. Let f(p) = -d(p) + s(p). Suppose b - 2 = -0*b, 0 = -2*t + b - 12. Is 5 a factor of f(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24406 - 42530. Let c = 13224273 + -184886197\/14. Let h = c + p. Find the common denominator of h and -11\/16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*q + 3*q + 6*q + (3 - 3 + 2*q)*(2 + 0 + 0) + 0*q + q + 0*q + 2*q - 4*q + q.\nAnswer: 8*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 + 17. Let p(n) = -n - 2. Let i be p(-5). Solve s = -r + i*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19747 is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 2*o + 25. Let f be d(-17). Calculate the common denominator of -55\/49 and (-2)\/f + 2480\/1260.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*p**2 - 26*p - 11*p - 7*p**2 + 37*p.\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*j = 2313 - 27. Let a(f) = -j*f + 69*f + 57*f. Let p(m) = 3*m - 6. What is 4*a(k) + p(k)?\nAnswer: -k - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3*426\nAnswer: 1278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of f**3\/3 - 366*f**2 - 1468*f + 3797. Solve l(s) = 0 for s.\nAnswer: -2, 734","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 1707345.9 months?\nAnswer: 1422.78825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40 and 110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - 1 - (5 - (8 + -4)) - (-120 - -177)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 7:35 PM?\nAnswer: 2:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/10)\/(2\/10). Let t(m) = 2*m**2 + 12*m - 18. Let v be t(-8). What is the highest common factor of i and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 74668044 divided by -18.\nAnswer: -12444674\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6050) + (sqrt(6050) + sqrt(6050) + 0 + sqrt(6050))**2 + sqrt(6050) + sqrt(6050) + -2*sqrt(800) + sqrt(800))*-4 + -2*-5*(sqrt(32))**2*-4 + -5.\nAnswer: -219085 - 580*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-39)\/(-9) + -5)\/((-6)\/3)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -26629, -26625, -26621, -26617?\n\"Answer: 4*v - 26633","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/5 + (-11)\/55. Solve -u - 2 + 7 = s for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - 1223?\nAnswer: -1225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 - -14. Let n = -32346 - -28854. What are the prime factors of (-1)\/c - n\/16?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 148\/111*15\/4. Sort -4, v, 1, 67 in descending order.\nAnswer: 67, v, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1086006826 divided by 28579127?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -135 - -135.00068. What is i rounded to five decimal places?\nAnswer: 0.00068","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c - 10. Give n(-16).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 130997443 divided by -23?\nAnswer: -5695541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*d + w, 1808*d - 5*w + 15 = 1813*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11460.135 months in millennia?\nAnswer: 0.95501125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 - -2. Let c be (1 + -1)\/(4 - 3). What is the smallest common multiple of j and c + -2 + 2 + 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 52 and 2132.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -3*t - 36, -t = -260*l + 261*l - 2. Let j(x) = -6*x - 34. Let y(i) = 7*i + 35. Give t*y(c) - 6*j(c).\nAnswer: c + 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(4\/9)*n**(-13) assuming n is positive.\nAnswer: n**(-113\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19*k + 4*k**3 + 17*k - 15*k wrt k.\nAnswer: 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -2*h**2. Let r(f) = 2*f + 398. Determine r(q(y)).\nAnswer: -4*y**2 + 398","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 + j**2 + j + 1. Let x(g) = -6*g**3 - 6*g**2 - 2*g + 8. Let o(r) = -p(r) - x(r). Let y(w) = 3*w**3 + 2*w**2 - 4. Give 2*o(u) - 5*y(u).\nAnswer: -u**3 + 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k**4 - 18*k**2 - 24*k - 9 = 0 for k.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -2*d - 4*i, -59 = -5*d - 2*i - 0. What is the remainder when 23 is divided by d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-294)\/(-1029))\/(2\/5299)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 19 = x, 4*f + 0*f = 3*x + 29. Find the common denominator of (144\/x)\/((-12)\/(-40)) and ((-198)\/(-8))\/((-14)\/(-4)).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, -3, 2, -0.3, 20 in descending order.\nAnswer: 20, 16, 2, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 + 7 = -2*m. Let a(p) = p**3 + 14*p**2 + 4. Let x be a(m). Let k(t) be the third derivative of t**4\/12 + 5*t**3\/6 + t**2. Determine k(x).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*(-3)\/18*4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/11))**(-30) assuming y is positive.\nAnswer: y**(60\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -281014\/9 - -31224. Let g = -0.3 - -0.24. What is the biggest value in -1\/3, 3, f, g?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 540717?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - 383330742?\nAnswer: -383330740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2512239 - 602239. Round i to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -c*d**2*q + 7*c*d**2 + c*q + 3*c - 52*d**3 - 22 wrt d.\nAnswer: -2*c*d*q + 14*c*d - 156*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 7*x**3 + 12*x**2 - 3*x - 2. Determine u(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/15 + ((-66)\/95 - -1).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8400\/(-20160))\/((-9)\/(-48)).\nAnswer: -20\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40033 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 + -1)\/(48 - 51). Which is the closest to -1? (a) 7 (b) w (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -33 - -10. Let y = i - -18.6. Let w = y - 0.6. Sort 2\/7, w, 2 in descending order.\nAnswer: 2, 2\/7, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5520)\/(-5060) + (-386)\/11)*-2.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that a**4\/3 + 40*a**3\/3 + 472*a**2\/3 + 480*a + 432 = 0.\nAnswer: -18, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4582 and 69774?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 624, -18, 10 in descending order.\nAnswer: 624, 10, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - -1 - (-2 - -2 - 11 - 15).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1090, -2166, -3214, -4222, -5178?\n\"Answer: 2*a**3 + 2*a**2 - 1096*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -8*z**2 - 2*z + 1. Suppose 2 + 4 = -3*u. Let n be s(u). What is the units digit of (-858)\/n - 4\/(-18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -7\/19, 9, -5?\nAnswer: -7\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 34*u**2. Let g(j) = -43*j. Let r(b) = -4*b. Let o(q) = -2*g(q) + 22*r(q). Give o(p(w)).\nAnswer: -68*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 349896100?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -105385 divided by 105385\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/6)\/(227934\/4374).\nAnswer: 3\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o + 1. Let a be l(7). Let v be 561633\/6*a + -2. Let b = -478842 + v. What is b rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21 or 14873\/742?\nAnswer: 14873\/742","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 PM and 6:13 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 3*k + 18 = 5*x, 0 = 2*x + 3*k - 15. Solve 4*h = -x - 9 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-2)\/7)*((-2700)\/(-840))\/45\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13845215107 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 16 - 1)*(-3*z + 3*z - z**2).\nAnswer: -16*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1408)\/(-1152))\/(66\/36).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 - 4*x**2 - 3*x - 4. Let j be h(-4). Let b be 6\/(-3) + 223 + 2. Let q be 2287*b - 8\/j. Round q to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -44 and 0.266?\nAnswer: -11.704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttlt when four letters picked without replacement from uutteuteql?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 - 7*r - 6. Let c be v(-6). Let m be 0 + c - (-8)\/2. Suppose 9*j - 17*a + 13*a = 28, 3*a = -2*j - 56. Sort -15, m, j in ascending order.\nAnswer: -15, j, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*p**2 + 7*p**2 - 3*p**2 as c*p**2 + f + v*p and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 189690 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 15 + 162 = 0. Suppose -u = -3*z + 10. Calculate the highest common factor of z and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1437 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) -2\/3 (c) 1 (d) -1060 (e) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1070, -2268, -3466, -4664, -5862?\nAnswer: -7060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -227 - -178. Let t be 2\/5*-1*(-35)\/w. Let a be (-2)\/(-2) - (-1)\/(-2). What is the third smallest value in a, -2, -4, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 58 + 3 + 4 + (-60 + 70 - (1 + 6))?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dzc when three letters picked without replacement from {v: 1, t: 7, d: 5, z: 1, c: 5}.\nAnswer: 25\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*f*l**3 - 129923128*f*l - 1870*l**4 + 253*l**3 wrt l.\nAnswer: -12*f*l - 22440*l**2 + 1518*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42 and 105?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 32\/(-4) - (-4 + 7 + -8). Which is the second biggest value? (a) z (b) -0.5 (c) -3\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 734*r - 189*r - 185*r - 368*r.\nAnswer: -8*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -1869.\nAnswer: 560.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.03519 + -4372410.\nAnswer: -4372410.03519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 AM and 5:54 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1922, -7836, -17740, -31634, -49518?\nAnswer: -71392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 5*x - 5. Let b(o) = -14*o + 14. Let l be (-5)\/(-10)*4*2. Let m(h) = l*b(h) + 11*t(h). Let a(v) = -6*v + 3. What is a(g) - 4*m(g)?\nAnswer: -2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 24 = q. Suppose -o = -u + 4*o + 12, 0 = -5*o - 15. Let z be -2 - u*8\/q. Solve z*k = 7*k - 10 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.02 - -0.02. Let z be 22\/6 + 12\/(-18). Let b = -0.141 - -0.441. What is the third biggest value in z, s, b?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 469.252553 + 5.795647. Let u = -475 + g. Round u to two dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of -113*p**5\/20 + 11*p**4\/12 - p**3\/6 - 216*p. What is the third derivative of d(j) wrt j?\nAnswer: -678","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 701?\nAnswer: 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1337, 2721, 4115, 5525, 6957, 8417, 9911, 11445?\nAnswer: 13025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -721*x + 48 = -728*x + 188 for x.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*n**2 + n**2 + 3*n**2)*(2925 - 4*n - 2923 - 402*n**2 + 1525*n**2) to k*n**2 + x*n + r + z*n**3 + f*n**4 and give f.\nAnswer: 2246","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 72\/(-6) - (-16 - 26). Suppose y - 2 = 2*t, -5*y + 52 = -y + 3*t. Calculate the greatest common factor of y and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 + -61\/4. Which is the nearest to -1\/4? (a) 3\/2 (b) -1 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of -g**4\/12 + 13*g**3\/6 - 9*g**2\/2 + 2*g. What are the prime factors of f(11)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 6*i**3 - 20*i**2 + 18*i - 4 = 0.\nAnswer: 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 328515 and 30855.\nAnswer: 5584755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 4*o - 8 = 0, 2*s - 5*o + 3*o = 24. Suppose -s = -5*x + 3*q + 6, 10 = 5*q. What is the second derivative of x*r**5 - 6*r + 14*r + 12*r**5 wrt r?\nAnswer: 320*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = -0*d + 4*d - 4*h, 195 = 5*d + 4*h. Suppose d = -5*n + 640. Suppose 0 = 5*k - 164 - n. Is k a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the third derivative of 0*y**6 + 0*y**3 + 0*y**4 + 0*y + 11\/12*y**5 - 11\/105*y**7 - 2*y**2 + 58. Find the third derivative of c(g) wrt g.\nAnswer: -528*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, 1, -3, -9, -17?\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6\/13 in 10, 0, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1112122122 (base 3) to base 14\nAnswer: -b0cd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 229.00000187 + -229. Round j to 7 dps.\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 618 - 414. Suppose -5*k + t = -171. Is k a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the third derivative of i**9\/504 - i**7\/105 - i**5\/30 + i**4\/3 - 12*i**2. What is the third derivative of x(u) wrt u?\nAnswer: 120*u**3 - 48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 + 11. Let w be 6 + (-3 - k\/(-3)). Suppose -2*l + 4*i + 8 = 0, l + i = -w*i - 10. Are l and -3\/5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -42131 + 114446?\nAnswer: 42315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*v + 1639 - 2124 = 339 + 2976 for v.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 1837*l**2 + 279*l - 5. Let v(f) = -1838*f**2 - 274*f + 1. Let k(h) = 2*b(h) + 3*v(h). What is the second derivative of k(r) wrt r?\nAnswer: -3680","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 201 (base 3) in base 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n**0\/n)\/n)\/n)**(-21)\/((n**(2\/11)\/n)\/n*n**3)*((n\/(n**(-2\/11)*n))**(5\/19))**34 assuming n is positive.\nAnswer: n**(8871\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 113 - 66*r + 149 - 18 + 119 + 3*r**2 = 0.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 36 + -36.2036. Let o = b + 0.276. Round o to two decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**2 - 3*l**2 + 3*l**2)*(2 - 2 - 2*l**2 + (3*l**2 + l**2 - 2*l**2)*(3 - 1 + 0) - l**2 - 1 + 1) - 7*l**4 + 2*l**3 - 2*l**3.\nAnswer: -6*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 12*b**4 - 208*b**3 + 1220*b**2 - 2544*b + 720 = 0.\nAnswer: 1\/3, 5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 136\/6*-185*(-261)\/(-12876).\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 36701720 to the nearest 100000.\nAnswer: 36700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -11179431.111 rounded to the nearest one hundred?\nAnswer: -11179400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(9)\/sqrt(3)*-5 + -5*(1 + sqrt(3)) - -3*sqrt(33)\/(sqrt(99) - sqrt(11))) + ((1*sqrt(3024) - sqrt(3024))\/(sqrt(343)*-1))**2.\nAnswer: -17*sqrt(3)\/2 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 37\/5 of a microgram?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + -3. Suppose 5*a - 6 = 9. Suppose -o*w = -2*i - 0*w + 90, a*w = 4*i - 178. Is i a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -231 + -1275. Let c = f + 2123. List the prime factors of c.\nAnswer: 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 5*h**2 + 5*h + 9. Let v be i(-2). Solve 28 = 5*s - 3*r - 0*r, 3*s - 4*r = v for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*j + 1847 + 984. Suppose -j*s + 1673 = -142*s. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -26822 - -26831. Solve -2*z - 3*y - 28 = -d, -15 = 5*y for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of -5*b**2\/2 - 11*b - 24. Let n(p) = p**3 + 8*p**2 + 5*p + 10. What is the remainder when n(-7) is divided by c(-5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 121*n = -124*n + 14, -4*n + 16 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -3*m + 3, 3*m + 4*u - 10 = -7. Solve -5 = -5*s - 2*y + m, 2*s + 15 = 5*y for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 1450 (b) 0 (c) 2 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ugcznngcwgwn. What is prob of picking 2 w?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-4\/13)\/z*z)\/(z*z\/(z\/z**(-11))))**40\/((z**(-2))**(1\/2))**41 assuming z is positive.\nAnswer: z**(5573\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -c8536 (base 13) to base 5\nAnswer: -43024243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12*s**3 - 201*s wrt s?\nAnswer: 72*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 1416?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l + 3*l + 2*l**2)*(-21*l + 54*l - 30*l - 2*l**2 + 2).\nAnswer: -4*l**4 + 6*l**3 + 4*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 1261\/3 (c) 25\/37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -5, -11, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -103387, -11, -2, 1 in ascending order.\nAnswer: -103387, -11, -2, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2 + 149*q - 4928. Determine j(100).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.845051 rounded to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 2779.97 to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 871 - -11\nAnswer: 882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v - 200 = -92. Let c = -0.08 - -0.28. Sort c, 3, v, 0.3.\nAnswer: v, c, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + 6b9c595?\nAnswer: 6b9c597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:20 AM and 11:58 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2*k. Let i = 337\/12 - 28. Let j(a) be the second derivative of 0*a**3 + a + 0*a**2 + i*a**4 + 0. Give j(b(t)).\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 767367 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-20)\/3)\/((-14)\/63). Suppose -2*p - 3*f = -19, 5*f - v + 11 = 3*p. Solve 0 = p*n - 5 - 3 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/6005132 <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 - 0) + 22 + 2 + -4. Let h(m) = 15*m**2 - 2*m + 3. Let y be h(5). Suppose -2*x + 0*x + y = 0. Calculate the greatest common divisor of x and c.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(-2)*(-168)\/756?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1672*s**2\/7 - 256294*s - 2146\/7.\nAnswer: -2*(s + 1073)*(836*s + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 64*x**2 + 13*x + 118. Let k be r(-5). Calculate the highest common factor of 348 and k.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 + 3*m**2 + 3. Let u be r(-3). Let x(y) = 6*y + 11. Let p(w) = -2*w - 4. Give u*x(k) + 8*p(k).\nAnswer: 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*k**2 + 0 + 1 - 1.\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 122 = -2*i + 112, -4 = 2*i. Solve 28*m - a = 30*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 3*s = -29, -17*y = -19*y + 3*s - 17. Calculate the least common multiple of -1 - (5 - (-30)\/y)*22 and 6.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 8*g - 3*g. Let n(a) = a**2 - a + 2. Calculate the remainder when n(g) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -49 less than -48?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from djtjjmjjnddmjdm?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -9*z + 13*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -66*628\/(-2328) + -19. Is y less than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -409139*a**2 + 2856*a - 136. Let m(g) = 9092*g**2 - 63*g + 3. Calculate 136*m(b) + 3*y(b).\nAnswer: 9095*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6483707 to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 8505, 17010, 25515, 34020, 42525?\n\"Answer: 8505*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 5*p. Let z be h(-1). What is the nearest to 0.2 in z, -0.2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x + 1. Let l(c) = 10*c - 1. Let f(i) = l(i) - 3*t(i). Let a be f(8). Let y = 143 - a. Is 13 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*d**2 + d**2 + 35 + 58*d + 3*d**4 + 14*d**4 - 58*d wrt d?\nAnswer: 408*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1611 = 25793\/16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 8 = 5*s. Suppose 552 = s*w - 288. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h**4 + 303*h**3 - 3255*h**2 + 4449*h + 8010 = 0. What is h?\nAnswer: -1, 3, 10, 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -16\/8319 and -92\/35217?\nAnswer: 97656741","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5944813298\/15092007 + 6\/718667. Suppose -3*o + 661 + 521 = 0. Let a = o - s. Sort a, -0.4, 1 in increasing order.\nAnswer: -0.4, a, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/(-6) + 1)\/(10\/12). Let m(v) = v**3 - 20*v**2 + 52*v - 17. Let f be m(17). Find p, given that f - d*p**4 + 9\/5*p**2 - 6\/5*p**3 + 0*p = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 170*22\nAnswer: 3740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of q**4 + 28*q**3 - 316*q**2?\nAnswer: 24*q + 168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 3*w - 6 = -3, 5 = 4*v + 5*w. Suppose 0*g - 4*g - 36 = v. Let f = 24 + -23. Which is the closest to 0.1? (a) g (b) 2\/7 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 56 + -33. Let b(h) = -s + 46 + 15*h - 32. What is the tens digit of b(7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lsszsslrlr. What is prob of picking 1 r, 1 s, and 1 l?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 4*x + 144 = 0. Suppose 0 = -2*h + 26 + x. Suppose 400 = -590*c + 606*c. What is the highest common factor of c and h?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/2, 3, -0.3 in descending order.\nAnswer: 3, -0.3, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*h, h = 31*p - 32*p + 62037. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-250)\/(-15))\/((-4)\/6). Is l smaller than -25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 17 = 123. List the prime factors of y.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15649?\nAnswer: 15649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.3, 1\/2, -11\/10?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*h = c - 32, -h - 53*c - 18 = -58*c for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2634 is divided by 849.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 78064 a multiple of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1224 and 73168?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 154 is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 114 a factor of 27593244?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -8 - (-2 + 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -46 + 88. Calculate the remainder when d is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3029048 by -4.\nAnswer: -757262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -28 + 147. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -2*q**2 - 4414*q - 286760 = 0.\nAnswer: -2140, -67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 48072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f - 4*f + 5*f)*(-2 + 0 + 3).\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 671.6 + -681.1. Which is the smallest value? (a) 0 (b) g (c) -5 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15537097 is divided by 67?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is eight fifteenths of a century in months?\nAnswer: 640","meta":{"dup_signals":{},"source":"measurement__conversion_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 o = 26.19 - 0.59. Let x = -20.6 + o. What is the closest to 0 in -12, 1, x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5033, 20024, 44975, 79874, 124709, 179468?\nAnswer: 244139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.8257 millennia in months?\nAnswer: 225908.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 2764*k + 19. Let d(r) = -21*r. What is d(o(i))?\nAnswer: -58044*i - 399","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u = -0*u - 21. Let o be (-1)\/(-2) + u\/6. Suppose -3*y + 12 = -4*b, 6 + 2 = -4*b + 2*y. Is o less than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1940 is divided by (6\/(-9))\/(16\/(-7800)).\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -1.16 (b) -3 (c) 7 (d) 0.1 (e) 0.01\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5888 and 28888.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.88 + -2.88. Let v be ((-263)\/3)\/(14\/(-48)). Let a = v - 300. What is the second smallest value in a, w, -3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 - 11283067504.\nAnswer: -11283067503.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 78016 divided by -106?\nAnswer: -736","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100 + 1002102101?\nAnswer: 1002102001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1313, 1323, 1335, 1349, 1365, 1383, 1403?\nAnswer: 1425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + -1*sqrt(68) - -5*(sqrt(272) - sqrt(17)))**2.\nAnswer: 3332","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 21*r**2 - 70*r + 16. Let j(a) = 4*a**2 - 14*a + 3. Give 11*j(n) - 2*q(n).\nAnswer: 2*n**2 - 14*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -36.7 - -151.13.\nAnswer: 114.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 21\/14*20\/6. Suppose -3 = -u*z + 7. Let i(g) = g**3 + 30*g**2 - 32*g - 33. Let f be i(-31). Put f, z, 5 in ascending order.\nAnswer: f, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-194)\/(-4365)*(-9)\/5.\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 415.6896 millimeters in centimeters?\nAnswer: 41.56896","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -7*q**3 + 24*q**2 - 3*q - 10. Let r(g) = -6*g**3 + 21*g**2 - 3*g - 9. Let b(o) = -8*r(o) + 7*s(o). Determine b(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 149 divide 5364?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -16\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of 0*f**4 + 0*f + 0*f**3 - 1\/15*f**5 + 9*f**2 + 1\/60*f**6 + 1\/105*f**7 + 0. Factor k(h).\nAnswer: 2*h**2*(h - 1)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 27 - 22. Let x(f) = f - f - g + f. Determine x(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3924 + -3923. Let l be 4 - (1 + (-2 - -1)). Suppose l = 4*y, r + 5*y - 9 = -r. What is the nearest to u in -5, -3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 84850 + -28928. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 8, 34, 60?\n\"Answer: 26*v - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -164 - -115. Let r = -44 - q. Let k = 1.2 - 1.19. What is the second biggest value in r, k, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 + h. Let a(w) = -58*w**3 + 2*w**2 + w + 6. Let z(k) = -a(k) + r(k). What is the third derivative of z(b) wrt b?\nAnswer: 354","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, -23, -66.\nAnswer: -66, -23, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k**4 + 2*k**4 - 3*k**4)*(-1 + 2*k + 1 + (1 + 0 + 0)*(0 + 2*k + 0) + 46*k + 0 - 47*k + 2).\nAnswer: -3*k**5 - 2*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -34 + 16. Let h(u) = -u**3 - 17*u**2 + 17*u + 24. What is the units digit of h(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-55)\/(-11550)*434*-15?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 29981 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*h = 15*h + 2*q + 20, -3*h + 0*q = 3*q - 60 for h.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -490.946 - -187190.\nAnswer: 186699.054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ojj when three letters picked without replacement from ujzjzozuz.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/14*(55\/1100 + 806\/(-120)). Put -2.6, -0.2, -1, i, 3 in ascending order.\nAnswer: -2.6, -1, -0.2, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 27 = 60. Suppose -28 = -0*r + 2*r. Let v = r - a. What are the prime factors of v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 720073999.\nAnswer: 3121, 230719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -4*d. Let k(r) = -r. Let v(w) = 3*w - 2*w - 3*w + 4*w. Suppose 3*z + 3 = 9. Let g(p) = z*v(p) + 2*k(p). Give g(j(a)).\nAnswer: -8*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 22 = 3*v - 2*v, 0*v + 4*v - 791*z + 2781 = 368 for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a second in microseconds?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -42552.976 - -42919. Let d = c - 368. Let g = 2 + d. Round g to two decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r + 4*r = 0. Let q be -1 - (-8 + (2 - -2)). Suppose -6*w + q*w = -6, -m + 4*w + 94 = r. What is the tens digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(209) - 2*sqrt(209) - sqrt(209))*6)\/(-3*sqrt(33)\/sqrt(3)) + ((5 + 1*sqrt(2299))*4)**2.\nAnswer: 1764*sqrt(19) + 37184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19 - 15. Suppose 4*m - 89 = -c, -x*m + c + 85 = -2*c. Is m a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 121 - 114. Solve 0 = -2*s + k*s - 5 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15490521?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -30 + 25. Suppose 3*f + 10 = -d, 3*f = f - 6. Let h = -0.1 + -0.3. Sort h, d, p in decreasing order.\nAnswer: h, d, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/11*s**2 - 8\/11*s**3 - 2\/11*s**4 + 24\/11 + 32\/11*s = 0.\nAnswer: -3, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 786\/25545*(-5)\/4.\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -100*j**2 + 717*j wrt j?\nAnswer: -200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 0*m = 5*s - 205, -3*s = -m - 60. Is (m\/(-25))\/((-3)\/(-10)) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 5*z**2 + 11*z - 7. Let x(q) = -6*q**2 - 12*q + 6. Let w(k) = 5*c(k) + 4*x(k). Let d be w(-8). Let o(l) = -l. Calculate o(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = -2*k - 8, -k + 0*a + 4*a = 1 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (-1 - (-1 - 3)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 102731 to the power of 1\/3, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 1 = -10. Let s(l) = l. What is s(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 4) + (-1 + -2 - -13).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v + 18. Let q be m(-6). Let o = 185 - 137. What is the highest common divisor of o and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (26 - 3) + -39 + -42 + -29\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9981235*s**3 - 70*s**2 - 660*s + 5?\nAnswer: -59887410","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-1\/4)*m)**(-36)*((m**13*m)\/m)\/m**8 assuming m is positive.\nAnswer: m**(-58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -5*j**4 + 830*j**3 + 4305*j**2 - 5130*j = 0.\nAnswer: -6, 0, 1, 171","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*x**2 + 92*x**2 + 54*x**2)*(-2 + 2 - 10).\nAnswer: -1650*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 4*z + 3*p + 14, -z + 3*p + 9 = 0. Let j(r) = 13*r**2 + 7*r - 13. Is j(z) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6 and -1164.\nAnswer: -6984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 602 and 19006?\nAnswer: 133042","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -117758*p**2 - 125272?\nAnswer: -235516*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 255684155 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-10))**(8\/7) assuming k is positive.\nAnswer: k**(-80\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2*x**2 - 2*x + 2. Suppose -2*n - 10 = 3*c, c = -3*n - 9 - 6. Let l be v(c). Suppose -i + 195 = l*i. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3695 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 - 79. Let s = 101 + p. Find k, given that -30*k + k**2 - s + 4*k**2 + 0*k**2 = 0.\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1633*l + 539*l + 557*l + 516*l.\nAnswer: -21*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(-15))\/((-12)\/(-50))?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119*q - 88 - 31 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 9*u**2 + 1. Let z = 38 - 37. Let b be q(z). What is the second derivative of -10*h**2 + h**2 + b*h + 5*h**2 + 24*h**2 wrt h?\nAnswer: 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.463923 to one decimal place.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.39, -0.3, -2, 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 35 + -21. Suppose 3*g = -15, h + 2*h + 3*g = 9. Calculate the least common multiple of h and d.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -186 + 16*p + 186 to i + v*p and give v.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6 - -6 - 0\/1. Suppose -p + b = -10. 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 r be (3 - (-40)\/(-8))\/(-2). What is the common denominator of -27\/191 and (-3976)\/126*r\/4?\nAnswer: 1719","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -65 (c) 26 (d) 13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 36 + -34. Suppose 10 = 5*u + t*w - w, -15 = 3*w. Differentiate -10*d**2 + 5*d**2 + 9*d**2 + u with respect to d.\nAnswer: 8*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17.1 - -18.31. Let g = o - 1.1947. Let w = -0.013 + g. Round w to three dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 55507641 and 642?\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -29619*f**3 + 26166*f**2 + 2*f wrt f.\nAnswer: -177714","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8696603 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.080172 rounded to zero dps?\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/4*(4 - (-112)\/(-21))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -27*o + 3. Let d be t(-3). Let w be (-87)\/((-11)\/((-22)\/3)). Let b = w + d. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(0 + sqrt(252) + 3 - sqrt(252) - sqrt(252))*-5*-2 + 3 + -3.\nAnswer: -120*sqrt(7) + 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 27562945 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j + 17. Let m be i(-8). Let g = -4 - -4.4. Which is the nearest to -2? (a) m (b) 4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 4*v + 14 = 0, 8 = -r - 4*v + 1. Let l be (-2 + 1)\/r*7. Let d(n) = 2*n + 0 - 1 - 1. Let m(a) = -1. Give l*d(z) - 3*m(z).\nAnswer: 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1047507.\nAnswer: 3, 37, 9437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence em when two letters picked without replacement from {m: 6, e: 12}.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of -p**7\/2520 + 5*p**4\/24 + p**3\/3 - 2*p**2 - 7. Let l(z) be the second derivative of k(z). Let u(r) = -8*r. Give l(u(y)).\nAnswer: -64*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q**2 + q - q + (4*q + 0*q - 2*q)*(-2*q + 4*q - q) - q**2 + 3*q**2 + 0*q**2 + 3*q**2 - q**2 - 3*q**2 - 45 - 40*q**2 + 11 + 25 + 320*q**2.\nAnswer: 281*q**2 - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/(-15)*(-17220)\/24. Suppose -5*x = 17 - p. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2603 * 10.\nAnswer: 26030","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -1931541.9331 to the nearest 100000.\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1 - 1)\/(-1) + (151 - 4).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 1, 452, -1\/4, 0, -0.1, -19?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 812378778 to the nearest integer?\nAnswer: 933","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 6*f, 5*v = -3 + 1 + 12. Let g = 9696938097\/2323 - 4174317. Let a = g - -4\/101. Are a and f nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 + 28*n**2 - 147*n + 2454. What is the hundreds digit of s(21)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 6)*(-128 + 228 + 189)*(2 - 1 - 2)*(-2*u**2 + 2*u**2 + 2*u**2).\nAnswer: 2890*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*v = 9*v. Solve v = 3*z + 11 - 2 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 110001100010 (base 2) to base 3\nAnswer: 11100102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*c**3 - 16*c**3 + 0*c**3 + (-4 + 4 - 6*c**2)*(-5*c + 3*c + c).\nAnswer: -18*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6017846 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-16 + 3 + 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*v - 15*v - 50 = 0. Let c be (-1 + 2 - -1) + -8. Let g be (2 + c)*v\/2. Solve -4*p = 3*u + 2*u - 25, g*u + 2*p - 12 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28 + -4. Suppose -3*n + 51 = 3*o - 51, -5*o + 188 = -4*n. What is the highest common factor of f and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 + b + 6*b**3 - 13*b + 9 in the form f + u*b + q*b**2 + m*b**3 and give u.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 PM and 6:25 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1874115, -3748242, -5622369, -7496496?\nAnswer: -9370623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*w**2 - 2*w**2 + 2*w**2)*(-5 + 5 + 8).\nAnswer: -40*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -3*z + 22. Let g be k(9). Calculate the common denominator of g\/2*15 - 1 and 46\/(-24) + (-4)\/(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-12)\/3)\/(-20))\/(-1)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 16 (b) 1 (c) 5848\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/8)\/(38\/(-3192)*15)?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 25 + -24 + 2 + -1 + -1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2619764?\nAnswer: 2, 7, 93563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(-24) + 774\/48. Calculate the highest common factor of 40 and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 - 33*u - 14. Calculate the least common multiple of 9 and b(-32).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - -12) + 6\/(-24)*0. Let t = 514 - f. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6*28\/84)\/((20\/(-12))\/(-5))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 214736784*i**2 - 429473583*i**2 + 214736782*i**2.\nAnswer: -17*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122 = -104*i + 954. Solve 0 = 4*n - 4*g + i, -2*n + 7*n - 2*g = 5 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 2*n - 222 = 0. Suppose 4*h - 198 = -n. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -8*b + 1. Suppose 0 = 3*x - x - 2. Give y(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/32 of a gram?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 + 6*l**2 - 8*l. Let b(m) = 4*m - 41. Let z be b(11). Suppose 6 - z = g. Suppose v - g*y = 2*v - 5, 0 = 5*y - 20. Determine h(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b + 4*b + 4*b + 52*b.\nAnswer: 59*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**12\/j*j**(-13)\/j)**(3\/26)\/((j**2)**28\/(((j\/(((j**4*j)\/j*j)\/j))\/j)\/j**(-2\/13))) assuming j is positive.\nAnswer: j**(-1565\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1864.6 + -2014.03. Let u = -17.17 + h. Round u to the nearest 10.\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, f: 2, i: 4, b: 10}. Give prob of sequence fhih.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -12*t. Suppose 16 = 4*h - 2*l - 0*l, 3*l + 18 = 3*h. Let p(i) = 2*i - h + 2. Calculate p(q(j)).\nAnswer: -24*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6, 3, -44.6, 2\/19, -2\/121, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*y**3 + 20450*y**2 + 392713*y?\nAnswer: 12*y + 40900","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 488214 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -826930, -1653858, -2480786, -3307714, -4134642, -4961570?\nAnswer: -5788498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c**2 - 493 - 2*c**2 + 3349.\nAnswer: -5*c**2 + 2856","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a microgram in nanograms?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20302243 = -101*p + 20303253 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - -1. Suppose 0 = -x*w + 667983 - 67983. Round w to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 8)\/((13 - (-105)\/(-21))\/8).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -4*t**2 - 6*t + 11. Let u(j) = -j**2 - 2*j + 4. Let x(m) = -3*q(m) + 8*u(m). Let w be x(1). Suppose -5*l + 0*l = w. Which is greater: -2\/7 or l?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12 by 63819.\nAnswer: 4\/21273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 73548*v**5 + 3*v**4 - 2*v**3 - 4*v**2 + 3430*v - 23.\nAnswer: 4412880*v**2 + 72*v - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-49149760)\/(-502656) - (-8)\/42) + 8\/272?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 634311.3ml?\nAnswer: 634.3113","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*j**3 - 267 - 277 + 544.\nAnswer: 7*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 267*t + 503. Determine l(-2).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*z**3 - 2465 + z**3 + 2172.\nAnswer: z**3 - 293","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.311168l to millilitres.\nAnswer: 5311.168","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4068 and 157748?\nAnswer: 1419732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the third derivative of i**4\/12 - 4*i**3\/3 - 3*i**2. Let n be a(6). Suppose n*z = 2*z + 74. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -30, -7, -1 in ascending order.\nAnswer: -30, -7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12976, 25948, 38916, 51880, 64840, 77796, 90748?\nAnswer: 103696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -42 + 56. Calculate the remainder when 39 is divided by a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (6 - 4) + -2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 139819.\nAnswer: 89, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*u + 12*u = 100 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -381, -1, -4, 2, 3 in decreasing order.\nAnswer: 3, 2, -1, -4, -381","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4\/13, -3.667, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79 - 101 = -22*c. Let p(q) = -q + q**2 - q**3 - 2*q**2 + 2*q**3. Let j(a) = 2*a**3 - 4*a**2 - 7*a - 6. Let m(v) = c*j(v) - p(v). Determine m(5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 72 + -174. Let t = 0.045865 + -101.942865. Let r = t - c. What is r rounded to 2 dps?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 501108, 501067, 501022, 500973, 500920?\nAnswer: 500863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 28de50 (base 15) to base 7\nAnswer: 22515630","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/468 and 107\/30172?\nAnswer: 3530124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 4, b: 8, r: 2, g: 1, u: 4}. Give prob of sequence rbrb.\nAnswer: 7\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 470\/9 in 4, 0.2, -47?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 251117 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4400 by -44.\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 10384 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n + 12. Let g be w(-6). Let s(c) = -c**3 + 7*c**2 - 6*c + 4. Let u be s(g). What is the second derivative of -5*i - 5*i - i**u + 8*i wrt i?\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -737.\nAnswer: -3685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -29b + 4e7be?\nAnswer: 4e523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/83, 2\/11, -1\/6, -9, -0.382 in increasing order.\nAnswer: -9, -0.382, -1\/6, 2\/83, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/19 and 53\/11191?\nAnswer: 11191","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 3*j + 1. Let t be f(-2). Let w(a) = -2*a - 8. Let n be w(t). Let z be (4\/3 - n)*105\/(-7). Does z = 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 669173528 by 4.\nAnswer: 167293382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 AM and 9:46 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 155 is divided by 49.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -4*y**2 - 3*y - 1. Suppose -m = 4*m + 10. Let i be b(m). Let f(j) = -4*j - 11. What is the units digit of f(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1506579 rounded to 2 decimal places?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of -1\/6*d**3 - 9\/2*d**2 - 10*d + 0. Let y be g(-11). Solve -y*n + 6 = n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42899 = -136*g + 497*g - 9279 + 9941 for g.\nAnswer: 117","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 42 + (0\/(-3) - 0). What is the units digit of (6\/4)\/(7\/o)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7011 and 6232?\nAnswer: 56088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4.02 + -0.02. Let y = 6.017 + -2.013. Let g = c - y. Round g to 3 dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-35)\/(-10) + 1\/2. Let t(l) = l - 3. Let m be t(n). What are the prime factors of m\/(2\/20*1)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 297*o**3 - 4*o**2 + o**2 + 0*o**2.\nAnswer: 297*o**3 - 3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 83057165 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (8 - (-58)\/(-8))\/((-3)\/(-20)). Suppose 4*k - 3564 = -3*z, -r*k - 3*z = -8*z - 4490. Is 29 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 815 is divided by 92?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20 + -17. Suppose -q + h*q - 10 = 0. Suppose -t + s + 2 = 2*s, 3*s = -2*t + q. Solve -i + 0*i = t for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -822*t. Let f(g) = 5*g**2 - 113. Calculate h(f(c)).\nAnswer: -4110*c**2 + 92886","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*r**3 - 11 + 11)*((172 + 34 - 30)*((3 - 3 + 2)*(-1 + 2 - 3) + 2 - 4 + 3) - 1 - 1 + 0).\nAnswer: -4770*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 278 + -278. Factor 4\/3 - 4\/3*a**2 + k*a.\nAnswer: -4*(a - 1)*(a + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2229517861 to six decimal places.\nAnswer: -0.222952","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 4}. What is prob of picking 4 j?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11511, 11591, 11689, 11805, 11939, 12091?\nAnswer: 12261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 103 + -53. Let n = -57.4177 + 0.0177. Let u = i + n. Round u to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 142, 138, 134, 130, 126?\nAnswer: 122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - 1)*(5*g - 2*g - g)*(4 - 3 - 2) + 82*g + 189*g + 294*g.\nAnswer: 567*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one fifth of a hour?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21 + 5 - -13)*(-2)\/(-126)?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -131 - -191. Let x = -15 + c. What are the prime factors of x?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1277 - 422. List the prime factors of x.\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -45762, -91779, -138048, -184569, -231342?\n\"Answer: -126*o**2 - 45639*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = 5*v + 21, 7*i + 19 = -5*v + 5*i for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -8692658 * -5\nAnswer: 43463290","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 144533355?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -2*g. Let d(u) = u**2 + 9*u + 17. Let r be d(-7). Let q(f) = -2*f - r*f + 3*f + 6*f. Determine q(o(s)).\nAnswer: -8*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -5) + (2 - 7) + 1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5.691 times -7\nAnswer: 39.837","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 593*u**5 + 419*u - 5. Let o(r) = -592*r**5 - 421*r + 6. Let q(g) = -5*o(g) - 6*v(g). Find the second derivative of q(x) wrt x.\nAnswer: -11960*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + r + 12 - 0, 5*s - 3*r + 32 = 0. Let c = 4 - s. Suppose -3*n - n + c = 0. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - 39) + 14 - -17.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 67815292 + 0.3?\nAnswer: 67815292.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46701730 divided by -23350865.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6650 and 2128?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.01, -52, -4?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001404419 rounded to 5 dps?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 95 - 151. Let x = -9607\/3 - -3147. Let t = r - x. Which is the closest to 0? (a) -4 (b) 3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 307? (a) -49 (b) -2\/21 (c) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*q**4 + 190*q**3 + 1965*q**2 + 2700*q - 4860 = 0. What is q?\nAnswer: -18, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -122003322 + 32?\nAnswer: -122003230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 574807 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 313*z**2 - 157*z**2 - 13*z - 168*z**2 - z**3 - 2. What is i(-11)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 3 = -5*n, -4*r + 3*n = -465. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -52 + 55. Let z(n) = 5 + k + 6*n + n**2 - 10 + 0*n**2. Let j = 11 + -15. Calculate z(j).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -22\/9? (a) -0.1 (b) 2\/13 (c) -2\/4243 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39058 divided by 6.\nAnswer: -19529\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 + 5*u**2 - 6*u + 7. Suppose 5*n = -5*r + 85, -2*r + 75 = 5*n + r. Calculate the remainder when n is divided by b(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 70*b - 67*b - 27 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -0.11 (b) -3 (c) 245 (d) -23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10042 - -176958. What is t rounded to the nearest ten thousand?\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6\/5? (a) 2 (b) -2 (c) 5\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 7 = -3. Let p(n) = n**2 + 8*n + 8. Let y be p(t). Solve 5*m - y = -5*v - 8, 5*v = -3*m + 12 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 12:56 AM?\nAnswer: 9:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1270487?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18733?\nAnswer: 11, 13, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppw when three letters picked without replacement from pwppww.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of ((-21 - -1)\/(-2))\/((-1)\/(-2))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 - -16. Is r a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7856 greater than or equal to 7827?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0 (b) 2\/3 (c) 0.7 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -22*a**2 - 11*a. Let k(g) = -g**2 - g. Let i(s) = 11*k(s) - p(s). Let z(v) = -v**2. What is z(i(w))?\nAnswer: -121*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 31240*v. Let q(x) = -x**2. Determine n(q(y)).\nAnswer: -31240*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(1*(1*sqrt(76) - sqrt(76))*-1)\/(((sqrt(4) - (sqrt(28)\/sqrt(847) - sqrt(4))) + sqrt(4))*1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(-9) + 2\/6. Suppose 0*z + 3*z = i. Suppose -5*u = o - 2*o - 1, z = -3*u. Which is bigger: o or 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.9? (a) 1\/7 (b) 2 (c) 3\/8 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 89.7 - 98. Let d = b - -13.2. Round d to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78525299 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 121717377437 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82937*a + 14 = -82939*a + l, -2*a = -13*l + 62 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 67 - 2 - (0 + 1). Suppose 71*a + 39*a = 23540. Let k = a - l. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -183, -184, -185?\nAnswer: -186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3699*i*v + 12*i + 366110*v wrt i.\nAnswer: 3699*v + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2875*v**4 - 7*v**3 + 7*v**2 + 38*v - 4.\nAnswer: 69000*v - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1560 - 0?\nAnswer: 1560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 4380 = -2*k, 3*k + 1045 = 2*u - 1880. Suppose 0*v + 2186 = 3*v + p, -u = -2*v - p. List the prime factors of v.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*a**6 + 175452*a**4*c - 5*a**2*c - 13*a**2 + a + 182*c wrt a.\nAnswer: -240*a**3 + 4210848*a*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -157*d**3 + 3*d**2 + 8*d + 7. Is w(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pptyayytytpay. What is prob of picking 1 p and 1 y?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 4*u**2 + 3*u + 3. Let j(p) = -7*p**2 - 5*p - 5. Let y(v) = 3*j(v) + 5*s(v). Let t(c) be the first derivative of c**2\/2 + 1. Give y(t(m)).\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 92415 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -426*n + 2818762 - 1409379 - 1409385.\nAnswer: -426*n - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 a, and 1 s when three letters picked without replacement from sbsscsscsckasscsa?\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5393220 + -8?\nAnswer: -5393228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97640*v = 97655*v - 930 + 15 for v.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 281*c - 40*c**2 + 282*c + 5*c**3 - 564*c to s*c**2 + x*c**3 + a + y*c and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7864 - 1022717\/130. Let k = 14\/265 - 313\/106. Let b = k - t. What is the smallest value in 0.4, b, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((5*(sqrt(2057) - (sqrt(2057) + -1)) - sqrt(2057) - sqrt(2057) - (sqrt(2057) + -1*sqrt(2057)*5))**2 + -4 + (3 + (-1 + sqrt(17))*3)**2).\nAnswer: 1320*sqrt(17) + 50412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23246 to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the first derivative of d - 1\/2*d**2 - 2. What is p(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + 491128?\nAnswer: 491124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 20 - (-1 + (11 - -14))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -367*s + 1469. Let v be u(4). Which is smaller: v or 3\/2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of 70*q**3\/3 - 1. Let i(n) be the first derivative of 3*n**2\/2 - 2306. Give g(i(t)).\nAnswer: 630*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/((o**11*o)\/o))*o\/o**(-5\/2))**33 assuming o is positive.\nAnswer: o**(957\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + i + 12. Let t = -653 + 655. What is the greatest common factor of t and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 7*v = 3*v + 32, 0 = 4*m - 2*v - 14. Suppose 43 = m*o + 4*a, 3*o + o - 32 = -2*a. Calculate the remainder when 214\/8 + (-2)\/(-8) is divided by o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 310 - -3?\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 12641861 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8358789493 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 67165783379 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -105\/1094386 and 71\/74.\nAnswer: 1094386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 39 = 91. Let v be 5*f + (-2)\/1. Let x be (134 + -100 + -32)*(0 + (0 - -4)). What is the highest common factor of x and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 + x + 60. Is 10 a factor of t(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2201386, 4402804, 6604222, 8805640, 11007058, 13208476?\nAnswer: 15409894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*d**2 + 46\/5*d - 84\/5 - 2\/5*d**3.\nAnswer: -2*(d - 21)*(d - 1)*(d + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 391744 divided by 12242\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/858*-11)\/((-18)\/3042)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*w = 66*w + 196. What are the prime factors of (-3 - 1095\/(-10))\/((-6)\/w)?\nAnswer: 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of x**6\/15 + 21*x**5\/10 + 19*x**4\/6 - 7*x**3 - 20*x**2 + 2330*x. Factor f(s).\nAnswer: 2*(s - 1)*(s + 1)**2*(s + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 246 a factor of 2103792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/4 and 66\/4 - (-4 + 4).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1262?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + 43*z**3 - 6*z**2 - 256 + 64 - z**4 + 2*z + 5*z**2 + 49 to c*z**3 + h*z**2 + q*z + v*z**4 + p and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 1098, -8\/51, -3 in decreasing order.\nAnswer: 1098, -8\/51, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 447 + -447. Suppose -51 = 4*h - 15. What is the nearest to -1 in 0.2, h, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/((-8)\/(-40) + (3786\/795 - 5)). Which is smaller: 429\/8 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6 - -10) + -14 - 2. Let g(c) be the third derivative of -1\/3*c**3 - 1\/30*c**5 + 1\/6*c**4 + o*c - c**2 + 0. Let g(m) = 0. Calculate m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 35 = -5*j. Suppose 0 = -j*n + 11*n - 68. Suppose r + 19 = 4*h + 4*r, -4*h - 2*r + 18 = 0. Solve -3*g = -h*f + n, -3*f + 2*f = -5 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 96?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2502*p + 70044. What is d(-28)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -34.6112 - -30581.\nAnswer: 30546.3888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m + 4*m - 2*m)*(22 - 14 - 50).\nAnswer: 42*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -673 + 915. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5022204 + 3?\nAnswer: -5022201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 a when three letters picked without replacement from mahtzzaotzttooazta.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 47683 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - y + 0)*(-3*y + 0*y + 4*y)*(-2*y + 2*y - 8*y**2).\nAnswer: 8*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4598 and 121.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gss when three letters picked without replacement from gsgygysyshy.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 50241600 a multiple of 120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*z = 9 - 54 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 6:09 AM?\nAnswer: 12:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45073553?\nAnswer: 7, 113, 56983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3*(2 - 16\/6). Let w(v) = 443*v - 4. Let c be w(y). Let t = -511 - c. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9681*p - 11*p**2 + 17*p**2 + 10*p**2 + 9681*p.\nAnswer: 16*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (6 - 10 - -5) - 5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-4 - 0) + 0)\/(-15))\/((-8570)\/10284)?\nAnswer: -8\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -534.1*80.4.\nAnswer: -42941.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.5622 - 1.3062. Which is the biggest value? (a) 2 (b) n (c) 16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**4*o)\/(o**0\/o)*(o*o**4)\/((o*o**10)\/o) assuming o is positive.\nAnswer: o**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 34*q - 4. Is 24 a factor of s(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2413 = 13*d - 8195. Is 17 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m**3 + 0*m**3 - 3*m**3 - 9 + 9 - 5*m**3 + 0*m**3 + 2*m**3 + 0*m**3 + (2*m**2 + 0*m + 0*m)*(0*m + m - 3*m) + 0*m**2 + 0*m**2 - m**3 - 3 + m**3 + 3.\nAnswer: -8*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -78 + 21. Let b = 59 + o. Solve 0 = -2*k + 4, -b*a + a + k = 1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i + i - i)*(i + i**2 - i) + i + 2*i**3 - i - 70*i - 2*i**3 + 70*i - i**3 + 3*i**3 - i**3 + (-1 - 3 + 1)*(2*i**3 - i**3 + 0*i**3).\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 474*b**4 + 435.\nAnswer: 1896*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 199950?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 9278779 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -68*v + 229 - 156 + 743 for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 141558 (base 10) to base 11\nAnswer: 9739a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-40)\/(-14) - 12\/4. Let k = -38.6 - -38. Which is the closest to k? (a) x (b) -0.5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -5 - -8*2\/4. Let b(w) = -5*w**3 - 2*w**2 - 2*w - 1. What is b(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w + 3. Let j be o(10). Let h = j - -9. Solve h*z = 2*u - 8, -u - 2 = -3*z + 4*z for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 309 - 270. Let j = -25 + b. Let t(f) = -2*f**3 - 5*f**2 - 2*f + 1. What is the smallest common multiple of j and t(-3)?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 7) to base 15.\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of t**4\/12 - 11*t**3\/6 + 10*t**2 + 3*t. Let g be q(9). Sort g, 5\/2, 0.4 in decreasing order.\nAnswer: 5\/2, g, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 12*s + 60. What are the prime factors of y(23)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 198002111?\nAnswer: 17, 29, 401627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -17*m + 18*m + 3*f, 4*f = -5*m + 8. Suppose -2*i - 12 = -4*n, -i + n - 18 = -4*n. Suppose i*x = -m*x + 6. Solve -x*t + 15 = -0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 54*i - 3. Let q be u(3). Suppose 0*w - 3*w + q = 0. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 3, 1\/3, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(525) + (sqrt(525) - ((sqrt(525)*-2 - sqrt(525))*3 + sqrt(525))))\/(1*(sqrt(243) + (sqrt(243) - sqrt(243)*3))).\nAnswer: -50*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002426008 rounded to 4 decimal places?\nAnswer: 0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1882 and -1.\nAnswer: -1882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the third derivative of k**8\/112 + k**7\/70 - k**6\/20 - k**5\/10 + k**4\/8 + k**3\/2 - 46*k**2. Let c(j) = 0. Calculate j.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 57 (b) -255\/4 (c) -1 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -82 - -81. Let w = 2.97 + 0.03. Let b = -2.6 + w. What is the closest to -1\/5 in -3, b, d?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 685*l + 479*l + 432*l.\nAnswer: 1596*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -4.021458?\nAnswer: -4.021458","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3*77\/(-396) - (-2)\/(-6). Let 0*i + 1\/4*i**2 - k = 0. What is i?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 11:09 PM?\nAnswer: 5:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 461909398.\nAnswer: 2, 73, 3163763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 19 - 3. Suppose 7*f - z*f = -3. Solve -f*q + 6*q = -3*s + 27, -q = 2*s - 14 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2 and -119273.\nAnswer: -119275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -12, -8, 6, 36, 88, 168, 282, 436?\n\"Answer: b**3 - b**2 - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, -96, -3\/5 in descending order.\nAnswer: -3\/5, -3\/4, -96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w - 3*w + 6*w - 3*w + 2*w.\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -24 + (9 - -3) + -208 + 194.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 3*t**5 + 408*t**4 + 2355*t**3 + 1878*t**2 - 9468*t - 14040 = 0.\nAnswer: -130, -3, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 11220 divided by 17?\nAnswer: 660","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25.2347 years to decades.\nAnswer: 2.52347","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-73 - 48) + 71 + 63\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -12587 + 4?\nAnswer: -12583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 + 6*p**2 - p - 3. Let t be m(5). Suppose -v + t = 86. Let k = 140 + v. List the prime factors of k.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = 2*c - 7*c - 1187 + 1222, -5*g + 33 = 2*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c + 10. Suppose -3*x - 24 = 3. Let t be g(x). Solve h = r - t, -3 = 2*r - 5 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2083, -4200, -6317, -8434?\n\"Answer: -2117*v + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 + 4*v**2 + 3*v + 3. Let l be g(4). Suppose -2*f + 9 = -5*s, -4*f - 3 = -8*f - 5*s. Solve -f*h + l = 3*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 286563 a multiple of 109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 82750098419 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3 - 19 - 44\/(-4)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/9, 158, -4\/7 in decreasing order.\nAnswer: 158, -4\/9, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 527\/5 + (-15)\/(-25). Let d = s + -52. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 PM and 7:27 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13910? (a) -3\/10 (b) -0.1 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand u**2 - 22*u**2 - 31*u**2 + 2*u**2 - 4*u**2 + 0*u**2 + (4 - 2 + 0)*(-u + u - u**2) - 3 - u**2 + 3.\nAnswer: -57*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 2 + 2)*(0*z + 3*z - 5*z) + (-2*z + 0*z + 4*z)*(3 - 4 + 3) in the form v + g*z and give g.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -1 - 5 - n + n**2 - 3*n + 2*n. What are the prime factors of v(-5)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t + 11 + 9 = 0. Solve 0 = 4*o + 4*s, 0*o - t = -o + s for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5762\/8 + (-3)\/12. Let l(z) = 29*z**2 - 4*z - 4. Let m be l(8). Let j = b - m. What is j rounded to the nearest 100?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 268 = -0*x + 4*x. Suppose 4*m + d - 72 = x, 0 = 5*m - 2*d - 164. Round m to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, d: 17}. What is prob of sequence dy?\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-152)\/(-26448)*174)\/((-4)\/(-57))\nAnswer: 57\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - g - 4, -5*g = -18*o + 17*o + 1. Put o, -8, 3\/4, 8 in increasing order.\nAnswer: -8, 3\/4, o, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p = -10*p + 540. What are the prime factors of p?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 7291238.\nAnswer: -2\/3645619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*p**2 - 863*p**2 + 184*p**2 + 271*p**2.\nAnswer: -427*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 53\/4 of a year?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -34016488.9 rounded to the nearest 1000?\nAnswer: -34016000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3308*u**2 - 2123*u**2 - 1201*u**2.\nAnswer: -16*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -7 + 5. Suppose -18029611 = 5*f + 3*s + 45470398, r*f + 25400009 = -3*s. Round f to the nearest 1000000.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -3*y - 5. Let p(z) = -3*z + 7. Let i be p(4). Let o be c(i). Calculate the highest common divisor of o and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that r**5 - 16*r**4 - 965*r**3 - 2600*r**2 + 5564*r + 7216 = 0.\nAnswer: -22, -4, -1, 2, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 3*q + 2*o = -18, 4*q - 5*o - 33 = 0. Solve q*u + 17 = 5*d + 6, -5*d - 4*u + 23 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 2*x - 43*g + 44*g, -162*g + 170 = 4*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -36*c + 1144. Calculate q(32).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of -a**4\/24 - 7*a**3\/6 + 2*a**2. Let u be r(-11). Solve -3*n + 1 = -u*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 10416280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73*a - 22 + 69*a + 22.\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 43 - 264151?\nAnswer: -264105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 10100010 (base 2) in base 7?\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 145785?\nAnswer: 3, 5, 9719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 34 - 125. What is m rounded to the nearest 10?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 187 + 65 = 21*c. Let y = 7 + -2. Calculate the lowest common multiple of c and y.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.3 (b) -2 (c) -136 (d) -4 (e) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 3*z + 11 = 6*t, 0 = 5*z - 25. Put -3, 1, 0, t in decreasing order.\nAnswer: 1, 0, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1))**(-3\/7))**(-9)\/((((n**(-2\/7)*n)\/n)\/n)**(2\/9))**(-1\/56) assuming n is positive.\nAnswer: n**(-757\/196)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3544626 to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-4))\/(15\/24)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-4*sqrt(6897))\/(1*sqrt(108)).\nAnswer: -110*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 70.1 - 70. Which is the fourth biggest value? (a) n (b) -4 (c) 5\/3 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) -0.2 (c) 3\/2 (d) -5 (e) -4 (f) -5\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-seven halves of a centimeter?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1819401 to the power of 1\/2, to the nearest integer?\nAnswer: 1349","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1639036?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -28 + 31. Solve 4*b = a*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 11:28 PM?\nAnswer: 5:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + 712?\nAnswer: 716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9925251 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-390*h - 535*h + 29*h)*(-2*h + h - 1 - 1) - 8*h + 2 + 8*h + 3*h**2.\nAnswer: 899*h**2 + 1792*h + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00083597841 rounded to 7 dps?\nAnswer: -0.000836","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (11 - 11 + 12*v)*(-143*v - 59*v - 156*v - 236*v) as i*v**2 + m + b*v and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*f, 6*p - 11*p - 2*f + 14 = 0. Suppose 10 = 2*m + 3*i, -p*i = -5*i. Solve 5*x = -m + 20 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 4*s. Suppose -6*a + a = -10. Let v(u) = 0 + 15*u - u**a - 11 - 4*u. Let r(p) = -2*p + 2. Let o(c) = 11*r(c) + 2*v(c). What is o(q(x))?\nAnswer: -32*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnkoxolokloonnoko. What is prob of sequence nxo?\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5.94 + 1.94. Which is the closest to 1\/9? (a) 0.5 (b) 3\/4 (c) -5 (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-19)\/l**(-23)*(l*l**18)**(-2\/65) assuming l is positive.\nAnswer: l**(222\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 14 = 4*p, -17 = -2*m - p + 6*p. Solve -2*c = -2*r - 2, 2*c + 2 = -3*r - m for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b + -dea33?\nAnswer: -dea3e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12*(-697)\/246 + -8.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 498332685?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + 123003323003?\nAnswer: 123003323020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -25*o + 137. Let q be k(-9). Let l = q - 354. What is the remainder when 213 is divided by l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 times 0.06?\nAnswer: -0.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 - 1. Let h(s) = -2*s**2 - s + 3. Let u(c) = -2*c**2 + c + 1. Let a be u(-1). Suppose 4*g + 18 = -2. Determine a*h(q) + g*j(q).\nAnswer: -q**2 + 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q + 11. Let b(f) = 2*f - 12. Let r be b(10). Let z be h(r). What is the derivative of x**3 + 3*x**3 + 1 - 5*x**z wrt x?\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*l - l + 3*l)*(-l - 2*l + 5*l + (5 + 23 - 4)*(2*l - 2*l + 2*l)) to the form v*l**2 + i*l + k and give v.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10192, -3, 1, -4 in decreasing order.\nAnswer: 1, -3, -4, -10192","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -139 + 213. Let x = f - 75. Sort -0.3, -2, x in ascending order.\nAnswer: -2, x, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 8*z**2 - 49*z**2 + 6859*z**3 - 6857*z**3 - 127*z**2 - 3*z**2.\nAnswer: 2*z**3 - 171*z**2 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-54)\/(-8))\/3*(-588)\/(-147)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nv when two letters picked without replacement from avqnvvvabovvvv?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(220)*1)\/(sqrt(1584) + (-2*sqrt(1584) - sqrt(1584) - sqrt(1584))))**2*4.\nAnswer: 5\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -613*a + 308*a = -309*a - 56 for a.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2174 - 2287.9. Let z = d + 113.9513. Round z to two dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/126 and -185\/1638.\nAnswer: 1638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4670*v - 268964 + 206687 - 292643 = 0 for v.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -89 and 2486286781.\nAnswer: 2486286692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9670 - -9684. Solve -17*q = -a*q + 5*o - 8, -3*q + 5*o = 32 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10.8 * -120.5\nAnswer: 1301.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6317057 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 269 divide 25432605?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 95*o**5 - o**3 + 2*o**2 - 62*o wrt o?\nAnswer: 5700*o**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-52)\/(-286) + (-2440)\/(-11) + -1?\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1569213073 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000704466 rounded to 7 dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 0, -226, -1\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 3*y + 7. Let u(r) = -6*r - 13. Let x(q) = -11*j(q) - 6*u(q). Let v be x(1). Let b = v + 14. What is the least common multiple of b and 22?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.427 - -1.327. What is the closest to 2 in 0.3, k, -33, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 132896639.\nAnswer: 132896639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -0*c - 8. Differentiate -6*d**c + 2*d**3 + 0*d**3 - 2*d**3 + 3 with respect to d.\nAnswer: -24*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (26\/6)\/(2\/6). Suppose -g - 41 = 50*s - 55*s, -4*g - 4 = 0. Suppose u*m - s*m = 235. List the prime factors of m.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -4*m. Let u(a) = -355*a - 905. Let n(z) = 2*h(z) - 2*u(z). Differentiate n(c) wrt c.\nAnswer: 702","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 3*f**2 - 1)*(331*f - 331*f + 34*f**2).\nAnswer: 102*f**4 - 102*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18125 and 331875.\nAnswer: 625","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -15, 111, 321, 615, 993?\n\"Answer: 42*k**2 - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1163 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 2 u when four letters picked without replacement from uununuu?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -3*h + 9. Let o(b) = -5*b + 7. Calculate -6*o(d) + 5*y(d).\nAnswer: 15*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -83, -85, -87, -89?\n\"Answer: -2*f - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 4*j**4 - 1884*j**3 - 59560*j**2 + 780000*j = 0.\nAnswer: -39, 0, 10, 500","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 12511 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + 1 + (-14)\/(-1). Let l = f - 10. Suppose 0 = 2*a + a - 6. What is the smallest common multiple of l and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26778216 = 201*r + 26801733 for r.\nAnswer: -117","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 34638334033 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 6 - o - 2 - o**3 - 1. Let i be j(0). Let w be 14*(0 + 4\/8). Solve -2*s - i = w for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1184 a factor of 38278720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-6 - -257) + -1 + -1 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*a + 4 = -98 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -203 + 206. Solve p*d - 4 + 16 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 9.900924 millennia?\nAnswer: 990.0924","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -387*a**2 - 62*a + 106971?\nAnswer: -774*a - 62","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -78.5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23 - -23. Suppose w = -2*n - 3*n - 25. Let z(i) = i + 9. Let q be z(-9). Sort q, n, -4 in decreasing order.\nAnswer: q, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7415*l**4 - 2*l**2 + 8740*l.\nAnswer: -88980*l**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 + k**2 - k + 1. Let q be t(1). Let u(a) = 2*a**3 - 6*a**2 + 2*a - 4. Let f be u(3). Let h be 1 - (-9 + (0 - -2)). Solve -h = -f*z - q*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 3) in base 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -15236.647 rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 155854 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 277514?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-12)\/9*(-153)\/68. Solve 2*v - 5 = -a*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -45*z + 7 - 1 + 36*z + 1 + 37*z to r*z + m and give r.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3523235.\nAnswer: 5, 704647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + -11320?\nAnswer: -11321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*(3 + -2)*0. Let z be (0 - m)\/(9 + -10). Solve z*a + 9 = 2*a + 3*y, 2*a - 10 = -4*y for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 - 30\/(-8) - 207\/276. Solve -l - 24 = -2*l + 5*w, j*w - 12 = -5*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 3*q = -w + 6858, 0 = -5*w + q + 11438. Suppose -53 = 5*f - w. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -982287*y**5 + 55*y**3 - y**2 + 213073*y - 130.\nAnswer: -58937220*y**2 + 330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 117, 170, 231, 276, 281?\nAnswer: 222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -26502, -53000, -79498, -105996?\n\"Answer: -26498*x - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3087 * 0.4\nAnswer: -1234.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 984 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40 and 325880?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 PM and 6:36 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 23*n**3 - 2*n**2 + 11. Let z(b) = 12*b**3 - b**2 + 6. Let o(w) = 6*u(w) - 11*z(w). Find the third derivative of o(c) wrt c.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -7*t**3 - 1671678 + 6*t - t**4 + t**2 + 1671678 + t**5 = 0.\nAnswer: -2, -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2801 (b) -1 (c) -8 (d) 6\/7 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2472 and 180.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -35, -109, -223, -377?\n\"Answer: -20*g**2 - 14*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 9 = 34. Suppose 0 = -0*k + 4*k + 5*y - i, -4*y = 5*k - 20. Let z = 1 - k. Let c(x) = -4*x. Let b(h) = -h - 1. Calculate z*c(w) - 3*b(w).\nAnswer: -w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 1\/5, 0.1, 9 in decreasing order.\nAnswer: 13, 9, 1\/5, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67645 is divided by 198?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*r + 134*r + 64*r - 18*r + 25*r to h + l*r and give l.\nAnswer: 222","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (88\/(-88))\/(2\/(-28))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -1243139?\nAnswer: -2\/1243139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c**3 + 70*c**2 - 70*c**2.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -5*j**2. Let u(l) = 10*l - 734. Calculate u(i(p)).\nAnswer: -50*p**2 - 734","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17086?\nAnswer: 2, 8543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 97921 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 5*r)*(0 + 5 + 1)*(-6 + 2 + 3).\nAnswer: 30*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of p**5\/15 + p**4\/12 + p**3\/6 - 33*p**2. Suppose -3*i - 1 = -2*i. Give f(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.07022 + -0.02976. Let g = -0.1 - t. What is g rounded to 5 dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 435 = 3*a. Suppose -6*z = -3*z - a. Let g(w) = w**2 + 29 - z. Determine g(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000231323367 rounded to 7 decimal places?\nAnswer: -0.0002313","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 - -52. Is 5 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 7:22 AM?\nAnswer: 8:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 805559, 1611088, 2416617?\nAnswer: 3222146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1110 is divided by 139?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 3*m + 4, 2*i + 4*m - 7 = 1. Solve -2*q + 4 = 5*s, i*s - 6 = -q - 2*q for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11645 = 25*q - 8*q. What are the prime factors of q?\nAnswer: 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -1520*q**3 + 3*q**2 - 3*q + 1. Let x be y(1). Let g = x - -25813\/17. Is 0 at most as big as g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-1 + sqrt(1216))**2.\nAnswer: -4868 + 64*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 - 13 - 23 - 13)*(-5*s + 4*s - s).\nAnswer: 66*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (11 - (-9 + 11)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 + 5*j**2 + j + 3. Let u be h(-4). Let q(x) = -x**3 + 16*x**2 - 15*x + 11. Calculate the least common multiple of 11 and q(u).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/7 - (-12)\/7. Suppose 4*f = -f + 15, h*f = -2*p + 34. What is the remainder when (-326)\/(-8) + (-1)\/(-4) + -1 is divided by p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12 + 35323?\nAnswer: 35335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 659 is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.03? (a) -4 (b) -1\/4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101 is divided by 27.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 19\/57 - (-3 - (-9767)\/(-3)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86275873 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68908714?\nAnswer: 2, 7, 4922051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*s**5 + 12*s**2 + 15*s**3 + 13*s**2 + 10*s - 5*s**4 - 91*s**5 = 0 for s.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (14\/(-6))\/(3\/9). Let f be (-23)\/s + 10\/(-35). Solve k + f*k = -5*u + 1, -u = 5*k + 4 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -2*z**3\/17 - 762*z**2\/17 - 58510*z\/17 - 57750\/17 = 0.\nAnswer: -275, -105, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 36 = 12*d. Let u be (-55)\/35 - d\/7. Which is the closest to u? (a) 3\/4 (b) -0.3 (c) -0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 + -10. Let u(q) = -14*q**3 + r*q - 3 - q**2 + 9*q - 14*q. Is u(-2) a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-7)*a**(3\/13)*a*a*(a\/(a**(-24)*a))\/a*a**(-22))**21 assuming a is positive.\nAnswer: a**(-1029\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from mmmmpmpm.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 222 and 312762.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.55059 rounded to two decimal places?\nAnswer: 0.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 0*f + 98 = 3*q, 82 = 2*q + 2*f. Suppose 2313 + 2175 = 17*y. Calculate the greatest common factor of y and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 10. Let b(y) be the first derivative of -3 + y**2 + 3*y**4 + 1\/3*y**6 + 8\/3*y**3 + 0*y + 8\/5*y**i. Factor b(r).\nAnswer: 2*r*(r + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 + 10. Suppose 19 = 4*j - 3*z, 0*j + z = f*j - 13. Suppose 1 + j = 5*d. Which is the nearest to d? (a) 0.2 (b) -5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 2*x = -2*x. Suppose 0*u = u. Suppose x = -u*t - 4*t - 61600000. Round t to the nearest 1000000.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, 2, -2, -91792940?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35372?\nAnswer: 2, 37, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 31088022?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -1. Let w(p) = -p - 2. Let h(j) = 3*v(j) - 2*w(j). Let l be h(2). Let a be 4\/(-3) - ((-399)\/63 - -6). Sort l, 3, a in decreasing order.\nAnswer: l, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 48.33367ml?\nAnswer: 0.04833367","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78451 is divided by 296.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of d**4\/2 + d**3\/2 - d**2\/4 + 273. Factor n(q).\nAnswer: q*(q + 1)*(4*q - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7808994 and 108?\nAnswer: 15617988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 3*r**2 + 1764*r + 54945 = 0.\nAnswer: -555, -33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 369.706 - 0.706. Let o = 320.8 - i. Let b = o + 48. Is b greater than or equal to -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2338 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 66793717?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5453 - -1191. What are the prime factors of m?\nAnswer: 2, 11, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/16 and -47\/1534.\nAnswer: 12272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 13*y = 48. Let q(j) = -j**2 + 12*j - 32. Let l be q(y). Solve -4 = -4*b + 3*i + i, b = -l*i + 16 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 175909 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 0.01887, 26.78?\nAnswer: 0.01887","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8362 at most 8361?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + (-14 - -1) + 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1870 - 1821.01. Let d = o + -49. Let t = 0.01 + d. What is the nearest to t in 7, 4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -o**2 + 3 - 3 + (-50 + 11*o + 50)*(2*o - o + 2*o) + 26*o**2 + 2*o**2 + 3*o**2 as t*o + d + s*o**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 382124564.\nAnswer: 2, 95531141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4343 (base 5) to base 12.\nAnswer: -41a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -49\/5 (b) 3\/1330 (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9797\/5922 - -95\/282. Let i = 7371\/890 - 34\/89. Find the common denominator of b and i.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37, -3, 3 in ascending order.\nAnswer: -3, 3, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 - 15*y + 51. Let b be i(10). Solve 0 = -3*x - 5*a - 4, x + b = 2*a - 4 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 972 at most 973?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 greater than 35.59?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-596)\/1043*(-7)\/18.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.6559049 from -0.1.\nAnswer: -0.7559049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of ((-20)\/(-3))\/(5\/15) and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**3 - 1375*p**2 + 126040*p - 3851120.\nAnswer: 5*(p - 92)**2*(p - 91)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 = 194*a - 198*a. Suppose 3*h - 3*b = -3 + 12, 5*h + 25 = -3*b. Do h and a have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the second derivative of 2*r**5\/5 + 5*r**4\/6 + r**3\/3 - 6*r. Factor y(b).\nAnswer: 2*b*(b + 1)*(4*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 - -14. Does 7 divide (y\/(-6))\/(3\/(-246))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -1\/2, 0.3, -358?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 35165638 to the nearest integer?\nAnswer: 328","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r = 10*r + 36. Let t be 203\/21 + 8\/r. Suppose t*l = 14*l - 10. Solve 2*d - 3*a + 6 = -4, 4*d = -3*a - l for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 280*10.\nAnswer: 2800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**2 + 47565*t + 47570.\nAnswer: -5*(t - 9514)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -56*w + 60*w - 1024. Suppose 2*q + 2986 = 2*n, n - w - 1232 = -4*q. Suppose 0 = 5*b, 4*h - 2*b - n = b. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*b + 44*b - 80*b.\nAnswer: 8*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -992?\nAnswer: 1\/248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (114\/(-24) - -3)*-4 + -6. Sort 3, m, -1 in decreasing order.\nAnswer: 3, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1776, -3909, -6028, -8127, -10200, -12241, -14244?\n\"Answer: q**3 + q**2 - 2143*q + 365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Put 2\/21, 2\/5, 299, 0, -0.05 in decreasing order.\nAnswer: 299, 2\/5, 2\/21, 0, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -622 + 650. Suppose 34*r - t*r = -390000. What is r rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-25)\/(-20))\/(-5))\/(8\/(-4))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((g*g**(1\/6))\/g)\/g*g*g*g**(-2\/5))**(-17))**2)**(-43) assuming g is positive.\nAnswer: g**(16813\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -10176, -20345, -30516, -40689?\n\"Answer: -r**2 - 10166*r - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 116 divided by 29.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1275783 is divided by 4426?\nAnswer: 1095","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = -12, p - 3*d + 6 = -2*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -37 (b) -1814 (c) -0.2139\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 152787 and 0.4.\nAnswer: 61114.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-175)\/42 + (-2)\/(-12). What is the units digit of (-552)\/(1 + h) + 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 o when three letters picked without replacement from wawbcfoawffo.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add 19.557 and -0.0945.\nAnswer: 19.4625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3\/7895 + -197189\/489490. What is the common denominator of t and 11\/8?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -673 - -674. Suppose 0 = 4*o - 20, -3*t + 3*o + o - 11 = 0. Calculate the least common multiple of t and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.495465 to 3 decimal places.\nAnswer: -0.495","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of -c**6\/120 + 4*c**5\/15 - c**4\/24 + 3*c**3 + 33*c**2. Let y be d(16). Solve -4*k - 2 - y = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -31 + 12. Let x = o - -16. Which is the third biggest value? (a) x (b) 0 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/27 of a day?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 0*h**3 - 24*h**2 - h**3 - 39 + 7*h**2 - 3*h - 5*h. Is d(-22) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 2 s when four letters picked without replacement from {z: 9, y: 1, s: 4}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 12:56 PM?\nAnswer: 11:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - 1) + (-1 - 3). Sort 4, q, -2, 0.\nAnswer: q, -2, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(1*4\/(-246508)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 + -3. Suppose s + 14 = o*s. Suppose -s*l + 5*l = -4. Solve 3*z + l*k + 14 = -0*k, 5*z = -2*k - 22 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 69, 140, 239, 360, 497?\nAnswer: 644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*x - 2*x + 0*x)*(318 + 19*x - 318)*(-x + 0*x + 8*x) as c*x + z*x**2 + u*x**3 + g and give u.\nAnswer: -665","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 1271.1, 2\/15, 24, 3, -5\/4 in ascending order.\nAnswer: -5\/4, 2\/15, 3, 7, 24, 1271.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lwiwzwowl. What is prob of picking 1 i and 1 z?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 64764547 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9614 is divided by 9510.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 11*q**3 - 12*q - 5. Let h(r) = -2*r - 1. What is 6*h(f) - k(f)?\nAnswer: -11*f**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -113254, -113282, -113336, -113416?\nAnswer: -113522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10115)\/68)\/7*((-720)\/75)\/(-6).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 n when two letters picked without replacement from qnwqwnonqdw?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -143 - -413. Suppose 5*d + 20 - m = 0. What is the remainder when d is divided by 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/3, 0, 6, -5, 11\/14, -662?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 214 is divided by ((-1)\/(-14)*-4)\/(3\/(-168)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2*v - 5. Let x be z(4). Suppose 3*u - 66 = -3*q, 0 = -q - x*u + u + 27. Solve 2*w = 4*d + 25 + 1, -q = -5*w - 2*d for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00174 rounded to two dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.4 and -13.17.\nAnswer: -12.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -65 - -198. Let s = 53 - f. Let d = -28 - s. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -2 + 2 + (-28 - -27)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 312397, 624798, 937201, 1249606?\n\"Answer: x**2 + 312398*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 30\/15*(-1 - (-2)\/(-4)). Sort -2, -1, p.\nAnswer: p, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 1. Let m = -7.18 + -300.82. Let n = -303 - m. Which is the nearest to r? (a) -2 (b) -0.09 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, p: 1, q: 3, a: 2, s: 2}. What is prob of picking 1 p and 1 a?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 3*n + 3*i, -2*i + 44 - 2 = -3*n. Let j = n + 20. Suppose 4*v - 24 = -j. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-225)\/(-13))\/((-6)\/18). Let u = d + 52. What is the smallest value in -2, u, -0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 405?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f + 8 - 43. Suppose -f*y + 6 = -8. Find the second derivative of -3*z + 0*z**4 + 4*z - y*z + 4*z**4 wrt z.\nAnswer: 48*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10*2\/(-24)*13\/(455\/4)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a centimeter in millimeters?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10643 (base 10) in base 6?\nAnswer: 121135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ecckeppkppkep. Give prob of sequence ec.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1468.999996036 + -1469. What is r rounded to six decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*n + 22*n + 5. Let a = -0.036 - 4.864. Let p = a + 5. What is the biggest value in p, n, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) -2\/5 (c) -2 (d) 25 (e) -4 (f) -0.098\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 8*a + 20 = 0. Suppose -f = a*f - u - 82, -4*f = -5*u - 113. Is 6 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -5*f + 21, -2*f + 0*y + 14 = y. Suppose 0 = -9*c + f*c + 240. Let g = 179\/3 - c. Which is smaller: g or 2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*d**5*o**2 + 14*d**4*o**3 - 7*d**2*o**3 + 4*d*o wrt d?\nAnswer: -180*d**2*o**2 + 336*d*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - ((14 - 11) + -1 + -6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b - 10. Let p(z) = 2*z - 21. Let d(w) = 4*p(w) - 10*t(w). Let y be d(8). Let j(f) = -f + 6. What is j(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12701070 to the nearest integer?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and 0.060714?\nAnswer: -0.0121428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add 3 and -3429996229855.\nAnswer: -3429996229852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, v: 2, h: 4, q: 2, u: 6, m: 3}. What is prob of sequence hmux?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -2*u**3\/11 - 7475420*u**2\/11 - 6985245497464*u\/11 - 13970461093264\/11 = 0?\nAnswer: -1868854, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 226 + -227. Let s be ((-14)\/8)\/v + 15\/60. Solve -2*n + 4*y + s = 0, 0*y - 13 = 5*n - y for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -2*a**3 - 50*a**2 - 48*a + 4. Let o be u(-24). Solve 5*v - o = 3*z + 21, 3*z = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 + -8. Put 5, g, -13 in ascending order.\nAnswer: -13, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 177.42682 rounded to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10732640 to the nearest integer?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 185201, 185253, 185305, 185357, 185409, 185461?\n\"Answer: 52*s + 185149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 407430 to the nearest integer?\nAnswer: 638","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -5427*r - 37983. Determine o(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.271 + 0.1. Let h = 0.069 - d. Let n = 0.23999 - h. What is n rounded to 4 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69110?\nAnswer: 2, 5, 6911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -140 - -201. Suppose -u + 6*u + k = -2*b, 3*u + 33 = -b. Let y be 306\/81 - 4\/b. Solve 0*f - 5*x = 5*f - 10, -y*x - 10 = -5*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-13 - -3) - -4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -2*w - 2. Let y be b(-3). Let x(r) = 2*r - 1. Let n(i) = i**2 + 15*i - 9. Let j(q) = n(q) - 2*x(q). What is the units digit of j(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 - 16\/(-1) - 15\/5. Let y be 429\/z - (-6)\/(-2). Is 23 a factor of (-4)\/10 + (3 - (-672)\/y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 4*f = 5*j + 182, -3*f = 2*j - 196. Let g(b) = 34*b**2 + b. What is the remainder when f is divided by g(1)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 21*a**2 + 22992*a - 3279. Determine q(-1095).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5*(-2)\/4)\/((-1505)\/(-3612))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 292, 642, 1038, 1480?\nAnswer: 1968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 45, 411, 1411, 3363, 6585, 11395, 18111?\nAnswer: 27051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 4954 times -2\nAnswer: -9908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 282*v - 7. Calculate b(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2 + 7*z + 12. Let d be s(6). Let p(u) = -2*u**3 + 37*u**2 - 20*u + 45. Let t be p(d). Solve -5*c + 4*c = 3*o + t, 0 = -2*c + 4*o + 2 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/5129 and 17\/185982?\nAnswer: 4277586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 - d - 1. Let s(w) be the third derivative of -w**5\/30 - w**4\/12 - w**3\/2 + w**2 + w. What is -2*m(t) + s(t)?\nAnswer: -4*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 440 - 437 - (1 - 1 - (1 + 8))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 1 + 5 - 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s + 10428 = 65558. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4892, 4882, 4872, 4868, 4876, 4902, 4952?\nAnswer: 5032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 - 2. Let t be w(2). Differentiate -c**2 + 3*c**2 - 6 + 0*c**t + 4 wrt c.\nAnswer: 4*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 70 and 90314.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/3 (b) 39 (c) -1 (d) -54\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 142978799 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00005937 rounded to five dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.2 - -0.2. Is 0 smaller than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 260 + -215. Let o = -765474033.9999647 + 765474079. Let p = o - a. What is p rounded to 6 decimal places?\nAnswer: 0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f - 5*f**2 + 7 - 16*f**2 - 12 - 2*f. Let d(c) = 10*c**2 + c + 2. Calculate 5*d(p) + 2*k(p).\nAnswer: 8*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.2066 to 1 decimal place.\nAnswer: 6.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15*s**4 - 1515*s**3 + 296*s**2 + 47970080 with respect to s.\nAnswer: -60*s**3 - 4545*s**2 + 592*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iiii when four letters picked without replacement from {i: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + (5\/2 - (-5)\/(-10)). Suppose 0 = g + 5, 0*q + 44 = d*q + 2*g. What is the remainder when 77 is divided by q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 216 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -335101 - -14?\nAnswer: -335043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 28810615 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 11\/3 - 2\/(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a microgram in nanograms?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -284235, -284218, -284201?\nAnswer: -284184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(25) - (sqrt(25) - sqrt(25)*-2*5) - sqrt(250)\/(sqrt(10) - sqrt(10)*3))\/((sqrt(100)\/sqrt(2))\/sqrt(10) - (sqrt(405) - 3*sqrt(405))))**2 + 4.\nAnswer: 21\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -149049191 > -149049191?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, 19, -1, 0 in decreasing order.\nAnswer: 19, 0, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5370 + -10733\/2. Suppose x + 5\/2*x**4 + 9\/2*x**3 + 1\/2*x**5 + 0 + n*x**2 = 0. Calculate x.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 78c6 - 10cc?\nAnswer: 67c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 60 - 59.908. Which is smaller: -2 or v?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 498 is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 49 - 46 = 0. Let v be 287\/164 + (-1)\/(-4). Suppose v*h = 2*t + 22, -3*h + 2 = 4*t + 4. Solve -w - f - 15 = -h*f, 5*w + a = -3*f for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27) - sqrt(81)\/sqrt(3)*-4) + ((3 + sqrt(300) + sqrt(300))*-1 + sqrt(300))**2 + 1.\nAnswer: 75*sqrt(3) + 310","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.68 rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 13, -0.3, 9 in decreasing order.\nAnswer: 13, 9, 5, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40829, -81671, -122513, -163355, -204197?\nAnswer: -245039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2361067 + 678933 = 4*x. Let h(d) = d**2 + 12*d - 26. Let i be h(-14). Suppose -x = -z + i*z. Round z to the nearest one hundred thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 - 12*k - 9. What is the smallest common multiple of t(13) and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -770 = -668*x + 703*x for x.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 28 in -2\/3, 2, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -37*f**2 + 1573*f + 90. Determine t(44).\nAnswer: -2330","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -923967 or -5\/3?\nAnswer: -923967","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 33*r + 3 + 23*r to b*r + w and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61080 is divided by 2041?\nAnswer: 1891","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 115387517?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 24536 divided by -6134\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 10:23 PM?\nAnswer: 2:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.8 in -5\/8, -5, -0.3?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 178430257 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 239 + 121 = 18*w. Calculate the highest common divisor of w and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 5*y + 15 = 0, 4*l - 2*y + y = 39. Solve 0 = -a - 4*s + 8, -3*a - l = -6*a - 5*s for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a75 + 214?\nAnswer: 1189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 24*o**2 + 2*o - 1. Let n(r) = 95*r**2 + 9*r - 4. Calculate 2*n(i) - 9*t(i).\nAnswer: -26*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -4*v - 9, -2*v = -3*z + 4*z - 3. Solve -1 = 2*i - 4*d + 3, v = -5*i + d + 17 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 720 is divided by 66?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 5*p - 1 = 8, 5*p = -4*m - 1. Let s be -1*(1 + -1)*m. Suppose n - 16 = -3*r, s = -n - 3*r - r + 17. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26307 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -2\/21421?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.4 - 3. Let u = 51 + -45. Suppose 5*a - j + 8 = 0, -2*j + 2 = u. What is the closest to 2 in a, 4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/6, 37, 2\/49 in increasing order.\nAnswer: -1\/6, 2\/49, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2\/9)\/n)**(-2\/13))**(-4\/9) assuming n is positive.\nAnswer: n**(-88\/1053)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.3, 6, 81.8, 9?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2030 - 2110 + 4137 - t.\nAnswer: -t - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 8497 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.018 in -18, -0.1, -49, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5064 - 4812. Calculate the remainder when p is divided by 55.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 5*t**2 + 55*t + 60*t - 3*t**2 - 93*t + 25. Let x be a(-10). Suppose -x*g = -9*g + 208. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 5*h**2 - 3*h - 2. Let r(l) = l**2 - l - 1. Let f(t) = -i(t) + 6*r(t). What is the least common multiple of 9 and f(5)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6 + 1 + -1 - 3. Let x(w) = -w**2 + 0 + 3*w**2 + 2 - 1 - w**f + w. Let t = -1 + 4. What is x(t)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 - 5*z**2 - 4*z - 2. Suppose -6*o - 3*o + 1233 = 0. Let j = -129 + o. What is the lowest common multiple of j and r(-5)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 8*n**2 + 7*n + 2. Let s(m) = m**2 + m + 1. Let l(a) = -q(a) + 5*s(a). Let o be l(2). Is (-3)\/(6\/2)*o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -126*u - 3*u**3 + 1367*u**4 + 126*u + 3*u**3 - 2*u**4 + 2*u**4 - u**4 + (0*u - 3*u + 4*u)*(-3*u**3 - u**3 + 2*u**3) - 4*u**4 + 4*u**4 + 2*u**4.\nAnswer: 1366*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 5*z + 3. Find the common denominator of (-68)\/(-612)*(-388)\/8 and ((-153)\/48)\/(-1) + z.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*f**3 - 3*f**3 + 80*f + 331*f**2 - 331*f**2 to q + v*f**2 + j*f + l*f**3 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 3*t**2 + 288*t - 849. Calculate a(-99).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of h**4 - 1\/2*h**2 + h + 1\/3*h**3 + 1. Is o(2) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1580?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g**4 - 305*g**3 + 2235*g**2 + 5405*g + 2860 = 0. What is g?\nAnswer: -1, 11, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 709.\nAnswer: 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 3*f - 1 = -0, 0 = 4*g - 5*f - 21. What is the third biggest value in g, -0.6, 1\/2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/(r\/(r\/(r\/r**(1\/4))))))**(-19)\/(r**2\/r**4) assuming r is positive.\nAnswer: r**(-49\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -187, 0, 4, 3 in increasing order.\nAnswer: -187, 0, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 649897 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -66 - -164. Suppose 0 = 5*a + r - 300, -a + 4*r = a - j. List the prime factors of a.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + 1. What is the highest common factor of 6 and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 17864100, 17864096, 17864092, 17864088, 17864084?\n\"Answer: -4*r + 17864104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21, 37, -21, -207, -575, -1179, -2073, -3311?\nAnswer: -4947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9353.6 rounded to the nearest ten?\nAnswer: 9350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v**3\/4 - 2397*v**2\/4 - 9627*v\/4 - 7227\/4 = 0 for v.\nAnswer: -3, -1, 803","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -49*m + 1379. Let v be r(28). Let g(c) = 4*c**2 - 29*c + 14. Give g(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 - 9*i**2 + 3*i - 3. Suppose 38 = 2*c - 4*q, -11*c = -31*c + q + 185. Determine d(c).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -7*s + 1. Let i(u) = -37*u + 9. Let f(w) = 6*b(w) - i(w). Let n(y) = -6*y - 2. Determine -3*f(t) + 2*n(t).\nAnswer: 3*t + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xkpymxmv. Give prob of picking 1 v, 1 x, and 1 p.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.564 - 0.731375. Let p = t + 0.2274. Let k = p + -0.06. What is k rounded to 5 decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 96*m**2 + 3*m - 11. Is n(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 205\/3 + -67. What is the third biggest value in 2, 1, y?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -202*j + 18. Let k(a) = -3. Calculate -24*k(o) - 4*n(o).\nAnswer: 808*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -2*p**3 + 23*p**2 + 7*p - 38. Let t be a(10). Let o = 380 - t. What is the lowest common multiple of 8 and o?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -106 + 166 - 57 + 452*m**3 to the form b*m**3 + c + i*m**2 + g*m and give b.\nAnswer: 452","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*u**(-20))*u)\/(u*(u**(-4\/9)\/u)\/u))**(-44) assuming u is positive.\nAnswer: u**(-8888\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of k**4 + 4*k**3\/3 - 3*k**2\/2 - 4*k + 1. Is y(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-5)\/25)\/(3\/(-89970)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**3\/5 - 10*a**2 - 406*a\/5 - 1078\/5.\nAnswer: -2*(a + 7)**2*(a + 11)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, -1538, 2, -5, 49, -4 in decreasing order.\nAnswer: 49, 2, -2, -3, -4, -5, -1538","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1\/5 of a kilometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.4 + -2. Let k = y + 1. Which is smaller: k or 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 536 and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of 11*o**6\/30 + 22*o**2 + 19*o. What is the first derivative of n(p) wrt p?\nAnswer: 44*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 2*r + r = 0, 0 = -3*b + r + 5. Suppose 2*c = 2*m + 84, 40 = -c + 2*c - b*m. Calculate the greatest common divisor of 43 and c.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 0.17, 0.04, -1, 0?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**2 - w**2 - 2*w**2 + (0 + 2*w**2 + 0)*(-2 + 4 - 1) - 3*w**2 - 5*w**2 + 14*w**2)*(-2*w + 0*w + 3*w).\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 58 + -23. Is 199320\/21 - 15\/b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 + -20 + 2 + -1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.1 + -0.6. Which is the second biggest value? (a) 5 (b) 6 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of -27\/2*a**2 + 0*a + 117. Let t(c) = -6*c**2. Let y(g) = 5*g**2. Let b(l) = 3*t(l) + 4*y(l). Determine h(b(k)).\nAnswer: -54*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1302782082?\nAnswer: 2, 3, 7, 19, 53, 30803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 7) to base 15.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, 223 in decreasing order.\nAnswer: 223, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*d - 137*d**2 + 1 - 161*d**2 - 24*d.\nAnswer: -298*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, p: 3, t: 6}. Give prob of sequence ptt.\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 14 = -5*l. Determine a, given that -l*a**4 - 7*a**2 + 9*a**2 - 2*a**3 + 2*a**5 + a**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 24 = 4*b, 5*b + 9*o - 765 + 806 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 8 = 5*o + 41, 3*o = 9. Suppose -n = -5*c - 4, 2*n + 2*n = 4*c + f. Let v be (-1)\/n + 729\/36. Calculate the greatest common divisor of 220 and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -411 + 417. Let f(b) = b**2 + b - 2. Let g be f(-3). Let j = -1 + g. Solve j*a - o*a = 5*t + 19, -4*t - 4*a = 12 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-6*16\/416)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*f**5 + 4*f**4 - 45*f - 27*f - 5*f**5 + 0*f**4 wrt f?\nAnswer: 20*f**3 + 48*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*(-63)\/48*(-76)\/19.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/4442 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 68\/(-10)*(-8 - -3). Let x be (-4)\/a + 528\/1020. Factor 0 - 4\/5*k**2 - x*k**3 - 2\/5*k.\nAnswer: -2*k*(k + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 4, 5*g - 200505 = -16*o + 11*o. List the prime factors of o.\nAnswer: 101, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 623.8667 rounded to the nearest integer?\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1872) + (sqrt(13) - sqrt(208)*-4) - (sqrt(13) + 0 + -1 + 2))**2 + -5.\nAnswer: 16*sqrt(13) + 828","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 688187683 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20 - 20.15. Let n = 18.47 + f. Let y = n + -18. Round y to 1 dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*q - 26*q - 20*q)*((2*q**2 - 4*q + 4*q)*(0*q + 3*q - 5*q) - 2*q**3 - q**3 + 5*q**3 + q**3 + 3*q**3 - q**3).\nAnswer: -31*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 211*o - 420. Let u(m) = -16388*m + 32640. Let x(s) = 544*i(s) + 7*u(s). Let z(q) = -20*q. Determine x(z(l)).\nAnswer: -1360*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*6*(sqrt(68) + (sqrt(68) - (sqrt(68) + sqrt(68)*4)*3)))\/((sqrt(324) + (sqrt(324) - 2*sqrt(324))*2)*-3).\nAnswer: 52*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-286)\/(-78) + -1 + (-2)\/(-6). Find the common denominator of (3\/2)\/r - (-408)\/32 and (-73)\/((16*-1)\/2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 2005508?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 - 6*h + 7. Let o be a(6). Let m(w) = -w + 19. Let t be m(19). Solve t*f - 3 = 2*f + y, -3*f - 2*y = o for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 44247, 44246, 44245, 44244, 44243, 44242?\n\"Answer: -d + 44248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -r + 8007 + 16933, -c = -6. List the prime factors of r.\nAnswer: 2, 12473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**3 - 34916*y**2 - 152460690*y - 609284232.\nAnswer: -2*(y + 4)*(y + 8727)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 2*w**3 + 13*w**2 + 31*w + 39. What is d(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c + 22. Calculate h(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1 + 0.4. Let l = 20250.8 + -20255.8. Sort l, m, -4\/13.\nAnswer: l, -4\/13, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3\/104 + 755\/936. Let v = 7 + -22\/3. What is the fourth smallest value in 4, v, -5, n?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1819754, -3639267, -5458780, -7278293, -9097806, -10917319?\nAnswer: -12736832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the second derivative of -2383*i**4\/4 - 847*i**3\/3 - i**2\/2 + 648*i + 5. What is the second derivative of l(h) wrt h?\nAnswer: -14298","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 + 7*k**2 + 6*k - 38. Let l be x(7). Solve 3 = 3*j - 8*j + 4*o, 21 = -3*j - l*o for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -120 (base 3) to base 9\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 649 + -93. What are the prime factors of h?\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*v + 37*v = -574. Let i = -170 - v. Calculate the highest common factor of 78 and i.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2 + 7*m + 9. Calculate the remainder when 935\/35 + 8\/28 - 4 is divided by h(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-5\/3)\/s*s)**(-15) assuming s is positive.\nAnswer: s**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 3 (b) 140 (c) -5 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 501985148 is divided by 5050?\nAnswer: 5048","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-27)\/(-45) - (-86)\/(-10). Which is smaller: y or -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 156.00000107 - 156. Round s to 7 decimal places.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 - 9. Let k(q) = q**3 - 3*q**2 - 4*q - 3. Let o be k(v). Does 5 divide o\/3 + (-14)\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1311362288.\nAnswer: 2, 37, 113, 19603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/((-7)\/((-19306)\/21)). Let s = i + 1128. Is s a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 2*g + 36 = 0, -6*w + 5*g = -5*w + 9. Solve -14*b = -11*b + w for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**11)**(-32)\/(w**(-11)*w**(-14)) assuming w is positive.\nAnswer: w**(-327)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 1) + (-9 - (-2 + 11 + -12)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a litre in millilitres?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 12112020220120 (base 3) to base 10\nAnswer: 2937804","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 + -6. Let f(n) = 19*n - 35. Let d be f(2). Suppose d*m + a = 14, -3*m + 3*a = 4 + z. Solve 3*b = y + 3, m*y + 2 + 7 = 3*b for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.153 and 388.\nAnswer: 386.847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mqmggqqqommgog. Give prob of picking 1 m and 3 q.\nAnswer: 16\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.2 and -1333405886.7.\nAnswer: -1333405886.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1054053?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -195, -436, -677, -918, -1159?\n\"Answer: -241*p + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -110*r**2 + 5*r - 5*r - 61*r**2 + 124 - 125 to the form s + v*r + k*r**2 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.023 in 3, -0.2, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37689, 37688, 37687, 37686, 37685, 37684?\nAnswer: 37683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 143, 335, 527?\nAnswer: 719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 625 in -7\/5, 0.2, -4\/3, -0.11?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1132233.\nAnswer: 3, 43, 67, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6145063 and 1382?\nAnswer: 691","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1288 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1235315, 1235311, 1235305, 1235297?\n\"Answer: -a**2 - a + 1235317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (6 + 1 + 0 - 3)) + 5\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(272) + sqrt(272) + 0) + -4.\nAnswer: -24*sqrt(17) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a tonne in kilograms?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 0.7 (c) -6\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1124)\/(-6))\/((-14)\/21). Let b = -263 - u. Solve 3*n - 21 + b = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5096, -5539, -5982, -6431, -6892, -7371, -7874, -8407?\nAnswer: -8976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 309.96 + -303. Let t = d + 0.04. Let q = t - 6. Which is the closest to q? (a) 1\/7 (b) -0.4 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 19*s**2 + 310*s - 20. What is f(-16)?\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 65 (b) 3 (c) 0.3 (d) -21 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 23712 + (11 - 120\/12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.535978 months in centuries?\nAnswer: 0.002113315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 99.88 + -99.87985716. Round x to 5 dps.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 77*y**3 + 281*y**2 - 13*y + 4469.\nAnswer: 462*y + 562","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q - 4*q + 4*q)*(-2 - q + 2) - q**2 - 2*q**2 + q**2 - 819*q + 819*q - 59*q**2.\nAnswer: -63*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19861 - 19897. Which is bigger: -384\/11 or u?\nAnswer: -384\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -191 - -193. Suppose 3*t + f*t + 5*d = 0, 0 = 3*d + 15. Solve -2\/11*o + 2\/11*o**t - 4\/11*o**4 + 4\/11*o**2 + 0 + 0*o**3 = 0 for o.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*j**2 + 23\/6*j + 1.\nAnswer: -(j - 6)*(4*j + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) 12 (c) 0.6 (d) 0.08\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107 is divided by 38.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 36100*1.06\nAnswer: 38266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-276)\/(-8)*64\/6. Suppose 6*n - i = 4*n. Calculate the highest common factor of n and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 3*k - 40 = 0. Suppose -3*t - 368 = -11*t. Let q = k + t. List the prime factors of q.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*g + 3*m + 1 - 20, -5*m = 2*g - 5 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -164*n + 4*n + 347 + 440 = -813 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18960 + -18949. Let y(k) = -13*k**3 + 24*k**2 - 11*k - 11. Let v(c) = -7*c**3 + 12*c**2 - 6*c - 6. Determine d*v(w) - 6*y(w).\nAnswer: w**3 - 12*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rfwbscfcsfrssf. What is prob of sequence fwff?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -63 + 42 - (0 + -20) - (4 - -52 - 2)?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 2) in base 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 15 - 6)*(2*w + 6*w + w).\nAnswer: 27*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(-3\/2))\/i**(-7))**(15\/7)\/((((i**(2\/3)\/i)\/i)\/i)**(-44)*i**(1\/4)\/(i*i**(-2\/5))) assuming i is positive.\nAnswer: i**(-34423\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6012 divided by 6012?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15443489?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4331 is divided by 400.\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((n + 3*n - 2*n)*(3*n**2 - n**2 + 0*n**2) + 3*n**3 - 13*n**3 + 2*n**3)*(-105*n + 101*n - 4*n**2 + 6*n**2).\nAnswer: -8*n**5 + 16*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.1 (b) 0.3 (c) 1\/3 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 6:00 AM?\nAnswer: 1:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -5, 1\/2, -2, -0.4, -0.109?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -531434056138 take away -0.1?\nAnswer: -531434056137.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 381 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5275287?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 155519327 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-126)\/(-9))\/(6*1).\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -228, -224, -224, -228, -236, -248?\n\"Answer: -2*u**2 + 10*u - 236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 5*s - 5, -4*s = 4*h - 6*h - 14. Suppose 0 = -5*n + 44 + s. Calculate the highest common divisor of n and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3132691 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 31301*n**3 + n**2 + n. Is c(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of -9\/2*m**3 + 0*m + 0 + 1\/20*m**5 + 6*m**2 - 1\/3*m**4. List the prime factors of p(-8).\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 33 + -33. Suppose 5*q - 5*k - 250 = 0, v = 4*k + 16 + 4. Calculate the remainder when 179 is divided by q.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-18)\/(-8) + -3)\/(-1). Let c = 1.47 - 0.37. What is the second smallest value in 0.4, l, c?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -132*s**2 + 481*s**2 - 9*s + 4*s - 2*s**3.\nAnswer: -2*s**3 + 349*s**2 - 5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103626.\nAnswer: 2, 3, 19, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 159 = 6*q - 9*q, o + 4*q = -72. Let s be (-40)\/78 + o\/(-126). Which is the nearest to 0? (a) -2\/21 (b) -0.1 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 141 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 54, -3, 2\/15, -1\/109?\nAnswer: 54","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 4*a - 62. Let o be d(14). Find the common denominator of ((-5)\/o)\/((-90)\/(-230)) and -121\/18.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*o**2 + o**4 + 40*o**3 - 27*o**3 - 12*o**3 - 4*o - 2 in the form d*o + b*o**4 + y*o**2 + f + j*o**3 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 162\/(-891) + 92\/22. What is the units digit of a\/(-6) + (8926\/6 - -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 0 + a + 1\/2*a**2 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 201\/4*v + 144 + 3\/4*v**2.\nAnswer: 3*(v + 3)*(v + 64)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (10*u**2 - 10*u**2 + 11*u**2)*(u + 2*u - 2*u + 17 - u - 17 + (-6*u + 2*u + 2*u)*(-6 + 3 + 2)) as d*u + f*u**2 + z*u**3 + a and give z.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*w**2 - 3*w**2 + 35*w**2)*(-2*w**2 - 3*w**2 + 4*w**2) + 34*w**4 - 70 + 70 + w**3 to o*w + i*w**2 + a*w**4 + v*w**3 + q and give a.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1618.04789 rounded to zero dps?\nAnswer: 1618","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 - (-1093 + -4 + 3)*1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (45\/4)\/(6\/16). Suppose 10*a - v = 5*a. Does 4 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, l: 7, g: 1, n: 3, e: 1, f: 4}. Give prob of picking 1 e, 1 n, and 2 z.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -198*h = 204*h - 83*h + 10208 for h.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -12*t**4 - 3*t**3 - 3*t**2 - 3*t + 21. Let j(r) = -r**4 - r**3 - r**2 - r - 1. Let c(d) = 3*j(d) - p(d). What is the first derivative of c(x) wrt x?\nAnswer: 36*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(96) + sqrt(96) + 2*sqrt(96)*3 + sqrt(96))*3)\/((2*sqrt(1458) - sqrt(1458)) + 4*sqrt(72)).\nAnswer: 36*sqrt(3)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - -15633282405.\nAnswer: 15633282417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 492\/100 - (-22)\/275?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59841.11 decades to millennia.\nAnswer: 598.4111","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a - 12*a = 141208 - 2140428. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 80643 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t + 63 = 391. What is the greatest common factor of 123 and t?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63191 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -58*c + 574*c**2 - 576*c**2 + 11 - 67.\nAnswer: -2*(c + 1)*(c + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(8\/7)\/((d**(-3\/25)*d)\/d))**26 assuming d is positive.\nAnswer: d**(5746\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14317)\/(-50616) + -12*43\/2322 + (-4)\/74?\nAnswer: 1\/152","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 3*h - 20. Let l be h + -2 + 4 + 0. Suppose 1 + l = g. What are the prime factors of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(2*(sqrt(252) + -1) + (1 + -2*sqrt(252) + sqrt(252))**2) + 2 + (sqrt(252) + 2 + 2)*4.\nAnswer: 24*sqrt(7) + 771","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/9, -5\/11, 1319?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(60)\/sqrt(6) + sqrt(10))*-5 + sqrt(60)\/(sqrt(12)\/sqrt(2)))*2)\/(1*sqrt(96)\/sqrt(3) + (1*sqrt(648) - sqrt(648))).\nAnswer: -9*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - -1. Let t = -9 + g. Let r(q) = q**2 + 5*q + 8. Is r(t) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -9*p**3 + 128*p**2 + 9*p - 128. Let t(c) = -5*c**3 + 64*c**2 + 5*c - 64. Let v(o) = 12*k(o) - 21*t(o). Factor v(a).\nAnswer: -3*(a - 64)*(a - 1)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-2*(-13)\/(-130)*5).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8437 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -211 + 212. Let l be -2 - o - (-6)\/(-30)*1405. What is l rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 - 7*m**2 + 7*m + 8. Suppose -822*l - 168 = -864*l. What is t(l)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 300 and 18052.\nAnswer: 18352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 - 3\/(-2))*0. Let i be m\/(-1*(0 + 1)). Let c(j) = -j**3 + j**2 - j - 3. Determine c(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2512 divided by -4?\nAnswer: 628","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 25*x**2 + 34*x - 4. Let a(k) = 49*k**2 + 69*k - 7. Determine -4*a(s) + 7*h(s).\nAnswer: -21*s**2 - 38*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1238*(-4)\/(-8) - 5 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 90 and 15?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of -f**3\/6 - 3*f**2 + 6*f. Let d = 18 + -14. Suppose -2*o - 19 = -3*u, 2*o + 0*o + d = 0. Determine r(u).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -363.459 rounded to 0 dps?\nAnswer: -363","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 36 - 43. Let n(r) = -11*r**3 - 7*r**2 - 4*r + 7. Let a(g) = 5*g**3 + 3*g**2 + 2*g - 3. Determine i*a(s) - 3*n(s).\nAnswer: -2*s**3 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of -117 - -312 - (2 - -9) and 575?\nAnswer: 4600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + o - 81 = -2*l, 0 = -2*l + 2*o + 90. Let a = l + 56. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.51*0.08\nAnswer: -0.0408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33840 divided by 3435.\nAnswer: 2256\/229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 5) to base 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 - 64. Let j(t) = -37*t. Calculate y(j(c)).\nAnswer: 1369*c**2 - 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 56637764 and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*q + v - 18, -7*v + 15 = -2*v for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -535*o + 1 - 3 - 551*o + 1089*o. Let w(y) = 4*y - 2. Determine 2*s(m) - 3*w(m).\nAnswer: -6*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1012212221 - 210?\nAnswer: -1012220201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9722.3698 + 9719. Let y = k + 3.34. Round y to 3 decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 + c + 49. What is the tens digit of f(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*h = -40*h - 15*h + 162 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-16)\/(-280))\/((-3)\/(-15)). Let f be -3 - ((-2122)\/315 - -4). Let t = -4\/63 - f. Which is the smallest value? (a) s (b) 0.1 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6638.986 rounded to the nearest one hundred?\nAnswer: -6600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12002 + -11753.86. Let l = n + -248. Suppose 0 = 4*r - 0 + 8. Are l and r nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 164373990 is divided by 41093494.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8581 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 k, and 1 w when three letters picked without replacement from cfkxxyw?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*x + 40 = -16*x. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 76.9 or -415?\nAnswer: -415","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - 54\/(-2)*((-22)\/72)\/(81\/324).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/246 and 7\/19890.\nAnswer: 815490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*d + 14 = 2*d. Sort d, -4\/7, -0.051.\nAnswer: -4\/7, -0.051, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o + 8 - 8. Let g(w) = -w - 4*w + 6*w. Calculate p(g(l)).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4914 and 126.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -2 (b) -4 (c) -1 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -371313251*y**2 + 88557998 wrt y?\nAnswer: -742626502*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3497954 divided by -14.\nAnswer: 1748977\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + -1101001100000110010110?\nAnswer: -1101001100000110010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5681558*v**3 - 2*v**2 + 51996*v.\nAnswer: 34089348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11759 and 1243247.\nAnswer: 1069","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 27321, 4956 in increasing order.\nAnswer: 5, 4956, 27321","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 15 = -5*g + 3*g, 0 = -3*h + 2*g + 5. Let n(d) = 6*d - 4 + h - 2 + 0. Is n(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and 381?\nAnswer: 1143","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6714 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 4*a**3 - a**2 + 1. Let v be u(1). Let k be 7\/6 - v\/6. Let f be (-3)\/(-12)*(-4)\/5. Put k, f, 0.1 in decreasing order.\nAnswer: k, 0.1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103102.\nAnswer: 2, 51551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 553 - 549. Let j(y) be the first derivative of 0*y**2 - 7\/5*y**5 - 6 - 2*y + 0*y**3 + 0*y**h. Find the first derivative of j(u) wrt u.\nAnswer: -28*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of 23\/12*w**4 + 0*w**2 + 0 + 0*w**3 + 21*w. Let a(h) = -2*h. Calculate o(a(t)).\nAnswer: 92*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 AM and 10:02 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 14828?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -5*o - 4*i, -4*i - 19 = -o - 7 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzjzjzzjzjzj. What is prob of sequence jzjj?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 3*h = 27, -f + 5*h + 22 = 5. Suppose l + 4*m = 2 - 0, 0 = -3*m. Solve -16 = -4*n - 4*s, -2*n + f*s + 1 = l*s for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**21)\/(c\/(c*c*(c\/c**(9\/4))\/c*c)*c) assuming c is positive.\nAnswer: c**(-85\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of d**3\/3 + 2*d**2 + 3*d - 7. Let s be k(-5). Suppose -s*m - 58 = -10*m. List the prime factors of m.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 36936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*d = -71*d - 78*d + 1488 for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -15 (b) 2\/45 (c) 6\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -1) + 12 + -20\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 465028.5ug?\nAnswer: 465.0285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 32836104 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(98) + 2 + sqrt(98) - sqrt(98))**2 - (3 + sqrt(72))) + 1.\nAnswer: 22*sqrt(2) + 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**2 - 695*t + 2860.\nAnswer: -5*(t - 4)*(t + 143)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2*u**2 - u - 24. What are the prime factors of i(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-4)\/(-6))\/((-12)\/(-1530)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d8b4 (base 15) in base 9?\nAnswer: 68787","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 5*t - t, 2*d + t = -8. Let i = 20 - 12. Let s be (-9)\/(-6)*i\/(-54). What is the closest to 0.2 in -5, d, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/75*40\/(-8).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 + 2\/(-12))*(11 - -51)*-3. Sort 5, x, -16 in decreasing order.\nAnswer: x, 5, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35773 = 796*r + 47 for r.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3616 is divided by 31.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22 - 22.5. What is the closest to -5 in c, -3, -0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.26 - -2.76. Let z be ((-1)\/(-5))\/((-33)\/55). What is the second smallest value in z, p, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -216 - -491. Let v be (-2)\/8 - (-25)\/4. Suppose 2*r = -2*b + 94, -r = -v*r + 5*b + g. Calculate the remainder when r is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 28\/6*6 - 0. Let n = 16 - j. Calculate the remainder when 29 is divided by 62\/6 - (-4)\/n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11 + 4 + 7*g - 13 + (-5*g + 10 - 10)*(-12 + 1 - 8) to the form d*g + q and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1 - 0.125. Let k = -134 - -132.975. Let x = k - w. Which is bigger: -31 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 593599 to the power of 1\/2, to the nearest integer?\nAnswer: 770","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2283 + 2425 - 111*m**2 + 841 + 113*m**2 + 596 to u*m + n*m**2 + r and give r.\nAnswer: 6145","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -49 - -45. Let s(y) = y**3 + 4*y**2 - y + 3. Give s(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w - 3. Let q be k(4). Let y = -13.9 + 13.23. Let i = y + 0.27. Which is the nearest to q? (a) i (b) 0 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 212888 + -125851. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*c**2 + 88*c**2 + 3352454*c**3 - 3352501*c**3.\nAnswer: -47*c**3 + 94*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 90, 96, 112, 144, 198, 280, 396, 552?\nAnswer: 754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 - -9. Let w(i) = 4*i**2 - 2. Is 4 a factor of w(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 2\/23 (b) -10\/11 (c) 1.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 + 9. Let b = 5610 - 5614.0021. Let v = b - t. What is v rounded to three decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 352848249 to the power of 1\/3, to the nearest integer?\nAnswer: 707","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -141152763.86 rounded to the nearest one million?\nAnswer: -141000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1962 and 100534406.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*r**2 - 58*r**2 + 17*r**2 - 9*r**2 to z*r + a*r**2 + t and give a.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 802, 1.1, -3\/11?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(17)*6 + 1 + (sqrt(85)\/sqrt(5))**2 - (sqrt(102)\/sqrt(6)*-5 + 1).\nAnswer: 17 + 17*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of 28*n**6\/3 - 218*n**5\/15 - 187*n**4\/3 - 346*n**3\/9 + 20*n**2\/3 + 8*n + 235. Determine l, given that i(l) = 0.\nAnswer: -1, -2\/3, -2\/7, 1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 142 + -93. Let m = -1 - -10. Let o = m + n. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 10:40 PM?\nAnswer: 9:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 37438 - 16032. What are the prime factors of c?\nAnswer: 2, 7, 11, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 185 (base 10) to base 6.\nAnswer: 505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1110101 (base 2) to base 8\nAnswer: -165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 4*x**2 + 18*x - 405. Calculate p(7).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 0 - 1)*(-1 - 2 + 4)*(22*n**3 + 18*n**3 - 36*n**3) + (0*n**2 - n**2 + 2*n**2)*(14 + 5*n - 14))*(-2 + 4 + 0).\nAnswer: 18*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 + 7. Suppose -c = -d*c - 1. Let j be (-5)\/(-2) - (c + 2). Which is smaller: j or 2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3756 and 272.\nAnswer: 255408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 11:42 AM?\nAnswer: 11:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 146600, 146519, 146440, 146363, 146288, 146215?\nAnswer: 146144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 917621 is divided by 183263.\nAnswer: 1306","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a tonne in kilograms?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1272.21413 - -0.21413. Which is smaller: b or 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*g + 20*g - 4*t = -66, 0 = -3*g + t + 26. Let q = g - 13. Let r be (-2)\/12*-2*-1. Sort r, q, 3\/7 in ascending order.\nAnswer: q, r, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1679981 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 4895\/27908?\nAnswer: 4895\/27908","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3606528, -3606526, -3606522, -3606516, -3606508?\n\"Answer: t**2 - t - 3606528","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f**30*f**11 assuming f is positive.\nAnswer: f**42","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-800)\/(-75) - (-2)\/(-3). What is the third biggest value in 1\/76, 1\/3, -5, 0.1, q?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129 a factor of (-29616)\/14*3577\/(-2044)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29634 to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 3)*(-11 - 27 + 12)*(-y**2 + 5*y**2 - 2*y**2).\nAnswer: -52*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*n - 6858 + 6846 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 104 and 1183.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 + 4*l - 9. Let g be m(-7). Solve g + 8 = -5*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71 is divided by -74 - -75 - (-36)\/1?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 419 by 13415.\nAnswer: 419\/13415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 172697*a**3*l + 7*a**3 + 2*a**2 + 10*a + 568*l - 2 wrt a.\nAnswer: 1036182*l + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 9377 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -a - 49. Let d = 71 + a. Is 7 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 414968*p**3 - 2134106*p**2.\nAnswer: 2489808","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -17872.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 11, -49, -223, -571, -1153?\n\"Answer: -10*c**3 + 3*c**2 + c + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 35*q**3 + 1. Let x be g(2). Let y = x + 971. Let j = -12539\/10 + y. Calculate the common denominator of j and 22\/3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4 - -6)\/(-5) + 10. Suppose 94 = -r*z + 9*z. Suppose -z = 3*t - 4*t - 2*k, -k = -5*t + 437. What is the tens digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1264905?\nAnswer: 3, 5, 28109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 32.5 - 35. Let w = 7 + r. Let k = w - -0.5. Is k greater than 0.03?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105 = -2*f + 9*f. Let a = -17 + f. Is (8\/3)\/(a\/(-36)) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 746868456?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, h: 2, r: 1, z: 1}. What is prob of sequence yrh?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -5*d. Let v(k) be the second derivative of -k**6\/20 - 5*k**4\/12 - k**3\/2 + 4*k. Let w(f) be the third derivative of v(f). Give t(w(l)).\nAnswer: 180*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17 + 22. Let z = 5 - p. Which is the closest to 1\/4? (a) 0.2 (b) 3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -2*o + 502, 26*u = 3*o + 28*u - 756. Calculate the lowest common multiple of o and 7.\nAnswer: 1736","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 41844388 to the nearest integer?\nAnswer: 6469","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7972272 or 7972275?\nAnswer: 7972275","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 188435.\nAnswer: 5, 13, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 6*b - 12. Let h(q) = q - 1. Let f(i) = 3*h(i) - s(i). Let m(v) = -3*v + 8. Let p be -10 + 11 - (-21)\/(-28)*-4. Give p*f(n) - 5*m(n).\nAnswer: 3*n - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5306962 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*m - 54 = 46*m. Suppose -58*t = -m*t + 40. Let y(g) = -g - 3. Let j(z) = 3*z + 7. Calculate t*y(o) - 4*j(o).\nAnswer: -2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/((y*y*y**(2\/11))\/y)*y*y**(-2\/3))\/((y**3*y)\/y**6))\/(y**(-9\/2)*y*(y\/y**(-1\/5))\/y)**(-13) assuming y is positive.\nAnswer: y**(-13447\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 145*o + 24728. What is g(-171)?\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*w**2 - 61*w - 1506*w**3 - 669 - 5*w - 2*w**2 + 655 wrt w.\nAnswer: -9036","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9679 + -9679.1. Which is the closest to -3? (a) 5 (b) g (c) -22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2*i**2 - 216*i + 2136. Let d be y(11). Solve -d*x - 17*c + 16*c = -2, c = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**1\/g**(-5))**(3\/4) assuming g is positive.\nAnswer: g**(9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 199.159 minus 1?\nAnswer: 198.159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -216*u - 367*u = 570*u + 19260 - 812 for u.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 7, -3, -1, -0.0558, 1, -1\/5, 1\/5?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of -4\/3*y**3 - 13\/2*y**2 + 8 - 6*y + 3\/4*y**4. Factor z(h).\nAnswer: (h - 3)*(h + 1)*(3*h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34044423 (base 6) to base 8\nAnswer: 3740677","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -2*h - 3. Let z(o) = o + 8. Let k be z(-6). Let w(f) = -2*f - 2. Let d(n) = k*g(n) - 3*w(n). Let j(u) = -9*u**2. Calculate j(d(t)).\nAnswer: -36*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 9 = -u, 2*h + h - u - 25 = 0. Let d(n) = -3*n - 6*n - 17 + h. What is the units digit of d(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-3)*13\/(-2)*(-159 + (-44619)\/(-278))\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/5441706 and 73\/29929383?\nAnswer: 59858766","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -269*y - 9. Is w(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 e when four letters picked without replacement from eieeei.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 + r**2 + 235. Let y be t(0). Let i = 42 + -83. Let d = y + i. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - w + 17 = -0*w, -4*w - 2 = -2*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*(-11 - 4\/2). Suppose -3*g = -2*q + 26, 24*q = 26*q - 5*g - 26. Calculate the highest common divisor of l and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k = -167 + 6. What is the highest common divisor of k and 115?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 128 and 2360704?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -92 + 94. Determine z, given that -4*z**p - 15*z + 4*z**3 + 15*z + 0*z**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11 + 3*b**4 + 10 + 2 + (0*b**3 - 2*b**3 + 5*b**3)*(-b - b + b) - 4*b - b**4 + 4*b.\nAnswer: -b**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -106 - -105.9. Let m(s) = s - 3. Let t be m(6). Let h = 0.2 + -4.2. Which is the nearest to d? (a) 2 (b) h (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/12)\/((-9)\/36).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -62*f**5 + 2556*f**4 - 574*f**3 = 0. Calculate f.\nAnswer: 0, 7\/31, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 32922216889 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - 243?\nAnswer: -243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 8, -162*a = 3*l - 161*a - 4. Solve v - 10 - 8 = 5*w, -l*v - 6*w = 6 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, k: 5}. Give prob of picking 2 u.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000083275227 to five dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + 311440?\nAnswer: 311432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 161 + -88. Suppose -d - 2 = -1, a = -d + 22. Let v = o - a. What is the remainder when v is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 31*q - 18. Determine k(9).\nAnswer: 261","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j**5\/3 + 4*j**4\/3 - 4*j**2\/3 + 2*j\/3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oaa when three letters picked without replacement from faofoofooofofao?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bggvvgbvgggvggvgv. What is prob of picking 2 v?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7\/3 of a hour?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*d + 62*d - 24675 = 32*d. Solve d - 335 = -6*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 10) to base 15.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.14 + -14.14. Let g = 10 + l. Let r be (0 - 2)\/(-1 + 6). Put g, -1, r in ascending order.\nAnswer: g, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.3378414 rounded to one dp?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzppzzpzzzpzzzzpzz. What is prob of sequence pppz?\nAnswer: 13\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 8845 divide 716697682?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4cba + 556?\nAnswer: 5543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 254552 and 3309176.\nAnswer: 3309176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2*b**3 + b**2 - 2*b + 20. Let u be d(0). Solve 4*p = -2*f + u, 0*p = 3*p + 2*f - 16 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23b7 (base 14) to base 7.\nAnswer: 24120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 121 - (54 - (17 - 43)).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -69030000 to the nearest one million.\nAnswer: -69000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3678 is divided by 115?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 82*f + 31*f**2 - 82*f as l*f + j + x*f**2 and give x.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -22*h**2 - 23*h**2 - 6 + 2 + 40*h**2 + 1. Let b(a) = -a**2 - 1. Suppose -5*q = -q - n + 12, -15 = 5*q + 2*n. What is q*b(p) + r(p)?\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2740729 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10842 and 1168.\nAnswer: 6331728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -842.03 - -837. Let s = 5 + v. Round s to one dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 + (-144 - -138) + (19 - -3) + -1?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 18 - -1 - (4 + -3). What is the lowest common multiple of 1\/(-6) + 219\/n and 14 - (-24 - -23)\/(1\/7)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, t: 1, w: 5, c: 1}. What is prob of sequence cbt?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + -32?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + x + 1, -o + x - 2 = -1. Let s be o*(-3)\/(3\/(-2)). Find the second derivative of -3*p**4 + 5*p - 4*p + 5*p**s wrt p.\nAnswer: 24*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (18\/4)\/((-2)\/(-4)). Suppose 39*x = 122 + 73. Suppose 5*s + 2*q = 4*q + 26, 3*s = 2*q + 18. Solve x = s*z - y*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 - 8 = -3*l. Let y(a) = 151498*a**2 - 7*a + 4. Let w be y(l). Let o be w\/((-5)\/(1000\/12)). Round o to the nearest one million.\nAnswer: -40000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 1 + 8*f + 2 + 4.\nAnswer: 8*f + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 - g**2 - 1. Let v(a) = -12*a**3 + 8*a**2 + 5*a + 6. Let x(q) = -11*l(q) - v(q). What is x(2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13044\/5 + 9\/(-180)*-4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -4 + (5 + sqrt(5) + 1 - sqrt(5)) + sqrt(10)\/sqrt(18) + (sqrt(80) + 3 + sqrt(80) - (sqrt(5) - (sqrt(10)\/sqrt(2) + -1))))**2.\nAnswer: 350*sqrt(5)\/3 + 3566\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 105407879 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104544736?\nAnswer: 2, 3267023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/11 at most 1\/38?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x - 21. Let m(y) = -175. Let u(b) = 1283. Let k(z) = -22*m(z) - 3*u(z). Give 5*k(h) - t(h).\nAnswer: -h + 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20492146.\nAnswer: 2, 19, 539267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 - 4. Let z be t(3). Let x = 2 - z. Let l = -11 + x. Solve -5*d - 5*s + 40 = 0, d = -d + l*s - 8 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -481823 - -701823. What is u rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of -498*z**5 - z**4\/4 + 3007*z**3 + 4636. Find the third derivative of h(g) wrt g.\nAnswer: -59760*g - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-27)\/3510)\/(10\/4). Let d = -133\/975 - y. What is the nearest to 1\/5 in 2\/11, d, 0.4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -212*0.58\nAnswer: -122.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2084328 or -2084331?\nAnswer: -2084328","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 31013330269 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 10 = -8*s. Let o(z) = -3*z - 8. Let a(y) = -2*y - 3. Let n(w) = s*a(w) + 3*o(w). Calculate n(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - (-13 + 8)) + -1 + -2 - 16?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*l - 2208353 = -42*l + 14236847. Round l to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-103 - 22 + 149)*(10*j - 4*j + 11*j).\nAnswer: 408*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -237 - -243. Suppose -r = -5*h + 4, r + 16 = 2*r + 5*h. Calculate the least common multiple of r and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-35)\/28)\/(10\/(-48)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 341*u**3 - 11*u**2 + 2393*u - 11. Let x(o) = -12*o**3 + o**2 - o + 1. Let g(a) = i(a) + 11*x(a). What is the second derivative of g(k) wrt k?\nAnswer: 1254*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 901 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 20410358 to the power of 1\/2, to the nearest integer?\nAnswer: 4518","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64327 is divided by 5358.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 - 7. Let y(w) = 15*w. Let k be y(z). Calculate the highest common divisor of k and 135.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide -2 + -1 + -7 + 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.55 + 1.15. Which is the second smallest value? (a) 1 (b) -1\/6 (c) 0.02 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(66) - (sqrt(66) + 1*sqrt(66))*3))\/(4*(sqrt(486) + -2*sqrt(486) - sqrt(486))))**2.\nAnswer: 275\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1191312 is divided by 595603?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express h**2 - 14 + 3*h**2 + 3 - 16*h**2 - 2 as q*h**2 + m + c*h and give q.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + (-285)\/20 - (10143\/276 - 8\/2).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -17*j**2 + 9*j - 6. Let q = -9 - -16. Let o(d) = 35*d**2 - 19*d + 11. Let m(c) = q*l(c) + 4*o(c). Factor m(g).\nAnswer: (3*g - 1)*(7*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 8911.\nAnswer: -2\/8911","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 - 7. Suppose h + 3*h - 16 = w. What is the third derivative of -2*f**2 - 3*f**3 + h*f**3 + 2*f**3 - 5*f**3 wrt f?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 6*l + 1. Let m(s) = 0 + 2*s - 3*s - 3 - 10*s. Let x(v) = 2*m(v) + 5*t(v). What is the remainder when 20 is divided by x(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 34692 and 5460?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-1\/3))**(-6\/5))**15 assuming n is positive.\nAnswer: n**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, -5, -15, -27?\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3320139\/74 - -44868. Calculate the common denominator of x and 27.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 3*a + 18 + 18 = 0, 4*f - 5*a = 76. Calculate the least common multiple of f and 20.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -3*n + 4. Let h be 0 - ((4 - 7) + -1). Let j(x) = h*x - 3 + x - 2*x. Let t(a) = 3*d(a) + 4*j(a). Let r(f) = -3*f. What is t(r(m))?\nAnswer: -9*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 4*t - 120 = 0, -112*o - t - 5224 = -4*t - 1755 for o.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 90358 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 4314100 to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 128.67603 months?\nAnswer: 0.0107230025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19\/152)\/(-1 + 0).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(1\/77))**(-4)*(d**(-34\/5))**(-32) assuming d is positive.\nAnswer: d**(82216\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -205 - -208. Let t(w) = 17*w**2 + 17*w - 13. Let c(s) = 4*s**2 + 4*s - 3. Let o(g) = 26*c(g) - 6*t(g). Does 12 divide o(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*p - 31*p = 0. Solve -w = -5 - p for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 2 = 14. Let q(u) = u + 2. Let m be q(h). Let i(f) = -14*f**2 + 2*f - 2. Let k(a) = 41*a**2 - 6*a + 5. Let g(b) = -8*i(b) - 3*k(b). Give g(m).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4e (base 16) to base 13\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -73 - 20. Suppose 4 = k - 1. Let y = a - k. Is y a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 207064?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.25116 to two decimal places.\nAnswer: 7.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/8 and 19\/10930.\nAnswer: 43720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*i**3 + 54406 - 54419 - 9*i**3.\nAnswer: -25*i**3 - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.509 minus -1401756897?\nAnswer: 1401756897.509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 152*u**3 + 133*u**3 - 10 + 137*u**3 - 442*u**3 + 22.\nAnswer: -20*u**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -10*b - 155. Give t(-11).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/11? (a) 1936 (b) 2 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 4*i - 5 = -i, 0 = -2*o + 3*i - 7. Solve 5*t = o*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/((135\/(-10))\/(-1)))\/(-40*13\/208)?\nAnswer: -4\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4634.03 - -4634. Let d = 0.21 - 0.11. Which is smaller: f or d?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 517 and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -2*j**2 + 2*j + 5. Let a be c(-5). Let s be -2*(7 - (-41 - -20)). Which is greater: s or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -248, -292, -352, -434, -544, -688, -872, -1102?\n\"Answer: -t**3 - 2*t**2 - 31*t - 214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5160647*q**3 + 4744245*q wrt q.\nAnswer: -30963882*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 321221919.\nAnswer: 3, 17, 67, 94007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rms when three letters picked without replacement from {s: 4, r: 4, m: 2, u: 4}.\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-34)\/6 + 7 + (0 - (-42)\/(-45)). Which is the nearest to r? (a) -0.5 (b) 2 (c) -1 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15880.73339747404 + 4?\nAnswer: 15884.73339747404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l**3 + 7003*l**2 + 13875 - 13976*l**2 + 6973*l**2 - 13875.\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28210, 48954, 69698, 90442?\nAnswer: 111186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (102\/18)\/(1\/3).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -13 + 5*y + 50 - 14 - 11 - 8. Determine q(-3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -36*n - 25*n + 4 - 56*n - 8*n in the form r*n + f and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*z - 35 + 35)*(0 + 2 + 0).\nAnswer: 14*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 3*a - 7*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(0 + (2 + sqrt(1088)*-2*4 - ((-2*sqrt(1088))**2 + -1 - (1 + sqrt(1088) + ((sqrt(1088)*2 - sqrt(1088)) + sqrt(1088))**2)))).\nAnswer: -168*sqrt(17) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 251 - 119. Let p = 263 - n. Suppose 4*g = -3*w - 24 + p, -5*w - g = -167. Calculate the remainder when w is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 569302757?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 2 g, and 1 q when four letters picked without replacement from {r: 1, q: 2, f: 2, s: 6, z: 4, g: 2}.\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/8 + 68*(-170)\/160. Let t be (-264)\/380 + f\/(-90). Sort -0.5, 5\/3, t, 4 in decreasing order.\nAnswer: 4, 5\/3, t, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*r - 4*r - 12. Let o = r + 1. Let a be o\/(-6)*(-18)\/(-2). Let j(x) = x**3 - 4*x**2 + 3*x - 4. What is j(a)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 5:15 AM?\nAnswer: 6:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25119*i + 503962 = -450560 for i.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 437 (b) 1\/2 (c) -1\/113\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r + 1. What is b(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 623 divide 2452128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 18383413 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -113 - -3504\/31. Let a = -5.266 + 0.266. What is the closest to o in a, 5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2*q. Let p(g) be the first derivative of 0*g + 3 - 2\/3*g**3 + 0*g**2. Give p(c(t)).\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 332816 is divided by 82936?\nAnswer: 1072","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(2816)*1)\/(sqrt(144) + -2*sqrt(144)).\nAnswer: -4*sqrt(11)\/3 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, l: 4, q: 1, r: 1, j: 1, t: 4}. Give prob of sequence xt.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 5) to base 8.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 130880 and 23120.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -408536*h**2 + 408536*h**2 + 56*h**3 - 15*h**3 - 13*h**3 - 15*h**3 - 10*h**3.\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -2*z + 21. Let s be g(9). Suppose 3*l = s*x + x + 1424, 3*x = -2*l + 972. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 PM and 8:18 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -6*p**2 + 768*p - 7088. Determine d(118).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/1*(-3)\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (((-9)\/(-4))\/((-12)\/(-88)))\/((-65)\/(194 + -64))\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 333648*t - 4*x = 333647*t, 0 = 3*t + 3*x - 15 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 0*d = -5. Let v(o) = 29*o**2 + o - 4. Let t(c) = -76*c**2 - 2*c + 11. Let k(x) = -3*t(x) - 8*v(x). Give k(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2 + 30*j + 311. Calculate d(32).\nAnswer: 247","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6377 a multiple of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/5 and 34\/(((-9)\/27)\/(2\/6))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (-93 + (3 - -1)) - (-648 + 660)?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4634 is divided by 222.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 + 14*r**2 + 13*r + 7. Let j be n(-13). What is j rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 14319, -4 in decreasing order.\nAnswer: 14319, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9928882111 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -274 - 0.01\nAnswer: -274.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(6\/13)\/b)\/b**18 assuming b is positive.\nAnswer: b**(-241\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.45 - 0.9. What is f rounded to 1 dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 205147 divided by 5.\nAnswer: 205147\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*o**4 - 8*o**4 + o**2 - 14*o**4 + 47*o**4 + 2 as s*o**3 + j + t*o**4 + m*o**2 + g*o and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 420 and 26376.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.09 + -1.15. Let p = 5.94 + -6. Let g = w - p. Put g, 0.2, 5 in descending order.\nAnswer: 5, 0.2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -42444.1 - 708\nAnswer: -43152.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -89.7 - -86. Let a = -6.7 - r. Is -2\/49 > a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3701113 is divided by 10030.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.023? (a) 60 (b) -1\/40 (c) 0.2 (d) -0.4 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123 = 4*b - 4*j + 99, -4*j = 12. Solve 2*r + b*r + 15 = 5*o, 0 = -3*r - 3*o + 9 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 432 + -231. Let r = -347 + s. Is -147 at most as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 - 3*m**2 + 4*m + 2. Let i be n(-4). Find the third derivative of 0*d**2 - 3*d**i + 2*d**2 + 15*d**4 wrt d.\nAnswer: 360*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k. Suppose g + 3*t + 8 = 0, 0 = -g - 5*t + 8*t - 2. Let s = g - 0. Does 5 divide j(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16589 - 23864. Let l = a + 13024. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14960377 divided by -3\nAnswer: 14960377\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.039*-15\nAnswer: 0.585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.4 and -84\/5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 - 11*o. Let c be p(11). Suppose 3*g - 2*g - 2*h - 29 = 0, c = -2*g + 2*h + 54. Let d be (-15)\/g*(-1 - 4). Solve 0 = v + d for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - c = -2 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -49, -63, -83, -109, -141, -179?\n\"Answer: -3*v**2 - 5*v - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -67 + 9*s - 50 + 117 - 4*s as b*s + l and give b.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 734128 to the power of 1\/2, to the nearest integer?\nAnswer: 857","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((8\/(-28))\/2)\/(1\/(-3))\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 + 12*u**2 + 12*u + 2. Let a be v(-11). Let s = a - -29. Solve -s = -3*m + 8*m, 3*m = 3*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*m + 14*m - 3 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.147047 - -2.146. Round g to five decimal places.\nAnswer: -0.00105","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = 4, -5*d + 108 - 128 = c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -j**3 + 16930*j**2 + 389943*j - 406872 = 0.\nAnswer: -24, 1, 16953","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + -24478770?\nAnswer: -24478774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 6*b**2 - 5*b + 8. Calculate w(-4).\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**27*b)\/b*b*b**3)\/((b*b\/b**(-7\/3)*b)\/(b\/(b**18*b*b)*b)))**(-1\/5) assuming b is positive.\nAnswer: b**(-23\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 565a37 - -3?\nAnswer: 565a3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4160898212 to the nearest integer?\nAnswer: 64505","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -5274.23 rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 57189 or 8\/13?\nAnswer: 57189","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54112128 divided by 2688.\nAnswer: 20131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 12, 60, 140, 252?\n\"Answer: 16*u**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 2 w when four letters picked without replacement from deedmwdewe?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-3 + 1797\/12)*4 + 6.\nAnswer: 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -117\/1034 or -1?\nAnswer: -117\/1034","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(3\/8)*x**4*x*x)\/(x**(-5)*x*x\/(x**(-2\/5)*x)))\/(x**(3\/4)\/(x*x**(-7)*x*x))**(-5\/3) assuming x is positive.\nAnswer: x**(2147\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*t**2 - 51*t**2 - 52*t**3 - 9*t**3.\nAnswer: -61*t**3 - 6*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = x - 0*x + 6, -4*f + x - 9 = 0. Sort 2, f, -2 in descending order.\nAnswer: 2, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 2:17 AM?\nAnswer: 11:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.065*-36.1.\nAnswer: -2.3465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.63174 + 0.2?\nAnswer: -0.43174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2328 - 2315 - (74 - 1)\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/30 and 55\/441.\nAnswer: 4410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) 3\/5 (b) -14.29 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 85128 and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 64.30822 millilitres in litres?\nAnswer: 0.06430822","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.9 + 1.2. Which is the closest to 0.4? (a) v (b) 3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*s - 2*s - 806. Let z = s - 62. Solve 0 = -z*r - r - 4 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -133 - -137. Let a(r) = -9*r + 29 - r**2 + h*r + 10*r. Let u be a(8). Solve t = u*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - -2)*2\/(-9). Let b be (-3)\/1 - -3 - -3. Let x be (-2)\/6 + 1\/9*b. What is the nearest to o in -5, x, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3096792777.\nAnswer: 3, 13, 17, 4670879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 715 a factor of 37313850?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*t = -6*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -428*-4.\nAnswer: 1712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/m**(-11)*m\/m**(-34)*(m**3\/m)\/(m*m\/m**(2\/47)) assuming m is positive.\nAnswer: m**(2211\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20 + (-1064)\/(-42))*72\/(-48)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -52318222, -52318227, -52318234, -52318243, -52318254, -52318267?\nAnswer: -52318282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2*r**2 + 5*r - 3. Let z be b(-4). Let a be 102\/z + 4\/6. Is 405\/11 - a\/(-66) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**6\/(f*f\/f**(-2\/7))*f*f**1*f**(-15\/4) assuming f is positive.\nAnswer: f**(55\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 2 = -i. Calculate the common denominator of 1 - (1 + 158\/i) and 23\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-9)\/12)\/(3\/(-12)). Suppose c*v - 7*v = -28. Is 3 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24 + 50. Calculate the remainder when 76 is divided by f.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1379 - -1379.4. Does -454 = k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 q, and 2 e when four letters picked without replacement from eteuaauuavvaaqauqe?\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 2*u**2 - 46*u + 36. Let v(c) = 2*c**2 - 52*c + 262. Let r be v(6). Determine f(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1302941.\nAnswer: 29, 179, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + (10 + -17 - -38).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -9*s**2 + 4*s + 1. Suppose -r - 19 = -4*v, -5*v + r = 151 - 174. Let q(j) = 10*j**2 - 5*j. What is v*o(l) + 3*q(l)?\nAnswer: -6*l**2 + l + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4797, 0.1, 1, -1\/3?\nAnswer: 4797","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 2*f - 167 = 0, f - 321 = 21*m + 2*f + 371 for m.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 2*v - 45, -5*v + 78 = -3*u - 33. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -y**3\/6 - 7*y**2\/3 + 31*y\/6 - 8\/3 = 0?\nAnswer: -16, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by -172?\nAnswer: 9\/172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12182*j + 24264*j - 12090*j.\nAnswer: -8*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12771 is divided by 60.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 142, 413, 684?\n\"Answer: 271*r - 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1671, -1670, -1669?\n\"Answer: o - 1672","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12033121.\nAnswer: 137, 87833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -4*x**2. Let p(g) be the second derivative of -g**3\/6 - 5*g. Determine y(p(u)).\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 316802246 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 49 and 0.29.\nAnswer: 14.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 - 1554.\nAnswer: -1553.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12) - -4*sqrt(96)\/sqrt(8))\/sqrt(4).\nAnswer: 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -255*k + 157 + 239*k - 10.\nAnswer: -16*k + 147","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2183?\nAnswer: 37, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*q - 2854 + 2814 = 0. Suppose 2 = 2*f - 4. Put 1, q, 2, f in descending order.\nAnswer: f, 2, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.37 + 0.07. Let o = u - 0. Which is smaller: 1\/3 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*t - 127 - 143 - t + 69.\nAnswer: 15*t - 201","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6 + (0 - 1\/1). Suppose -3*h + r*h = 3*w - 2, 3*w - 6 = 0. Let a(z) = -z**2 + h*z - z**2 + z**2. Determine a(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*n**2 - 4*n**2 - 4*n**2 - 5*n**2 - 10*n**2 + 1115.\nAnswer: -7*n**2 + 1115","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -2*l + 2. Let c be w(2). Let t be c + (1*-4)\/(-4). Let y = -0.07 + -0.23. Put 0.3, y, t in ascending order.\nAnswer: t, y, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 559 + -392. Suppose c*s = 179*s - 132. Solve 2*r = -s*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (255\/55)\/(-4 - -5) and -73\/3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -58058, -58066, -58098, -58166, -58282?\n\"Answer: -2*g**3 + 6*g - 58062","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-2) - (-350 + 264))\/(9\/(18\/(-4)))?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 4*f + 48, 1581*h = -3*f + 1586*h - 50. Let u = -32 + 97\/3. Sort 9, u, 2\/9, f in decreasing order.\nAnswer: 9, u, 2\/9, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3322872 a multiple of 1388?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1711*k + 624*k + 2847 = -1501 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 28, 2\/5, 0.11 in increasing order.\nAnswer: 0.11, 2\/5, 2, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 + 8*v - 38. Let o(m) = -2*m**2 + 8*m - 38. Let w(z) = -2*o(z) + 3*s(z). Let l be w(-10). Is (1459\/(-3))\/(6\/l) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 6:22 PM?\nAnswer: 4:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1972 and 27806764?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 4*s**2 - 79*s - 686. Give y(26).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 - 8) + (-56 - -28 - -33).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.1022 rounded to zero decimal places?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - -266?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -91 + 160. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(2\/35)*f\/f**25 assuming f is positive.\nAnswer: f**(-838\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 19 = 4*d + 16, -r + 5*d + 28 = 0. Let z be 99*((-4)\/6)\/(-2). Calculate the highest common factor of z and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -4307, -4306, -4305, -4304?\n\"Answer: o - 4308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 206*j - 1447. Let o be t(8). Which is the third smallest value? (a) -3 (b) o (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 6, g: 2, n: 2, f: 5, x: 1}. Give prob of sequence gnx.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of -5*w**4\/4 - 55*w**3\/3 - 195*w**2\/2 - 225*w - 1044. Determine h so that r(h) = 0.\nAnswer: -5, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = -23*g - 115. Which is the smallest value? (a) -2\/9 (b) g (c) -0.2 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3619*g**4 + 729 wrt g?\nAnswer: 14476*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 11260 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.456 rounded to 1 dp?\nAnswer: -7.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + (-1 + 1 - -1). Let d be -11*1*(3 - 0)\/3. Let c = -10 - d. Are r and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1 and 301954131.01.\nAnswer: 301954130.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -11 + -42 + 11 + 47\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*c*j + 136*c - 119*j with respect to j.\nAnswer: 2*c - 119","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.824566 nanometers in meters?\nAnswer: 0.000000006824566","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 409576 is divided by 4014.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttxxztu. What is prob of sequence xzt?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f. Let t(x) = x**2 + x + 4. Let h be t(0). Let u be w(h). Is u + 0\/(-1) + 1083 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -4 + (-5 - -7)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.054928 - 28.028072. Let w = -0.103 - r. Let z = 28 - w. Sort z, 5, -1 in ascending order.\nAnswer: -1, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1158*i + 489*i - 509*i.\nAnswer: 1138*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -323 - -333. Calculate the smallest common multiple of v and 16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3368300, -3368310, -3368320?\n\"Answer: -10*z - 3368290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 160*w**5\/9 + 10624*w**4\/3 - 8098*w**3 - 8058*w**2 = 0. What is w?\nAnswer: -4029\/20, -3\/4, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 545064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011 + -100000?\nAnswer: -101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1187619 * 3.\nAnswer: 3562857","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1 (b) -73 (c) -0.3 (d) -1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of -2*m**3\/9 + 4*m**2 - 24*m - 17. Solve c(l) = 0 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1276?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5825 + 6769. Is o a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -488957, -977915, -1466871, -1955825?\nAnswer: -2444777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: fb (base 16) to base 12\nAnswer: 18b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*t - 33*t = 5. Let c(b) be the first derivative of b**4\/4 - 2*b**3 - 4*b**2 + 5*b - 2. Let n be c(7). Put -4, t, n in decreasing order.\nAnswer: t, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(1458) + sqrt(1458) + (sqrt(1458)*2 - sqrt(1458))))\/(-6*sqrt(216)\/sqrt(9)).\nAnswer: -27*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 - 1)*(-i + 1 - 1) + (-4*i + 2*i + 4*i)*(-3 + 2 + 0) - i + 2*i - 3*i - i + i + 3*i.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 4 (b) -13\/12 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9218307 is divided by 3072768.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1128232 - 0.11888. Round x to 3 decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 + -36 + 146 - 40?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 97 - 87. Suppose -16 = -o + p. Suppose 87 = 5*x + 3*m, -2*x + 0*x + m = -o. What is the highest common factor of x and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**2 - d + d)*(-2063*d - 20595 + 41183 - 20588).\nAnswer: -4126*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8406 and 21024?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.21397 to two dps.\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13\/12? (a) -214 (b) -14\/11 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -143*y + 74*y + 73*y.\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/5 of a micrometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2057)*2)**2*1.\nAnswer: 8228","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) -1 (c) 4 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -244, -240, -234, -226, -216, -204?\nAnswer: -190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.5 in 1, -0.55, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -978 + 1765. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2\/45 of a day?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -4*p**2 - 4*p - 2. Let j(w) = 0*w + 0*w**2 - w + 3*w + 1 + 2*w**2. Determine 7*j(v) + 3*n(v).\nAnswer: 2*v**2 + 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 10) to base 3.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*x**3 + 24072*x**2 + 4136256*x - 946688 = 0.\nAnswer: -344, 8\/35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-189)\/(-441)*3950\/237.\nAnswer: 50\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 903 - 6352. What are the prime factors of f?\nAnswer: 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(2016) + sqrt(2016)*2)\/(sqrt(63)*-5) + sqrt(500)\/sqrt(90) + -5.\nAnswer: -6 - 11*sqrt(2)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8861568 divided by 31424.\nAnswer: -282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of -19*z**7\/210 - z**4\/3 - 7*z**2 + 27. Let d(f) be the second derivative of p(f). What is the second derivative of d(v) wrt v?\nAnswer: -228*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*v = 10*v + 20. Let g be (87\/6)\/(2\/v). Suppose -144 = -33*a + g*a. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 897?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 183*i + 2092. Determine y(-7).\nAnswer: 811","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16\/171 - -1\/57. Let l = -1\/667 - -1339\/3335. Sort -56\/3, n, l in descending order.\nAnswer: l, n, -56\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + 2*b + (2*b - 2*b - b)*(3 - 4 - 7) + 2*b + 3*b - 4*b)*(1 + 1 - 4)*(1 - 2 - 1) in the form k + n*b and give n.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2. Let f(l) = -164*l + 2626. Let z be f(16). Let p(i) be the first derivative of -1 + 0*i - 7\/2*i**z. Give p(v(k)).\nAnswer: 7*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131*z - 130*z + 5*k = -8, 2*z + k - 11 = 0 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25130 is divided by 168.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of 2*m**6\/15 - 16*m**5\/5 + 49*m**4\/3 - 4*m**3 - 144*m**2 + 3005*m. Solve i(q) = 0.\nAnswer: -1, 2, 3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 2*f**2\/11 - 3572*f\/11 + 1594898\/11 = 0?\nAnswer: 893","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1449, -2896, -4343, -5790, -7237, -8684?\nAnswer: -10131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -4*l - 12. Let q be d(-7). Let m be q\/(-24)*(-2 - 1). Let k = 3 + -1. Solve -u + 7*g - k*g - 16 = 0, 0 = 4*u - m*g - 8 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - -44?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2*s**2 - 24*s + 62. Let y(t) = -3*t**2 - 26*t + 62. Let f(j) = 3*y(j) - 4*z(j). Let o be f(13). Solve -o*h + h - 4 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69574762.\nAnswer: 2, 587, 59263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = v + 3*v. Let u be 4\/18 - (-100)\/36. Let y(t) = -11*t + 0 - 4*t**u + 4 + 3*t + 2. Let i(n) = -3*n**3 - 7*n + 5. What is v*y(c) - 6*i(c)?\nAnswer: -2*c**3 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**2\/q)**(-1\/12))**(1\/5)*q**(1\/2)\/(q**(2\/21)*q)*q\/q**(-3\/2)*q**(1\/2)*q assuming q is positive.\nAnswer: q**(1423\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ld when two letters picked without replacement from {d: 11, u: 4, l: 3}.\nAnswer: 11\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/19? (a) -3\/1093 (b) 4 (c) -2.21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14179 and 516889?\nAnswer: 1289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5175?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 139 or 141?\nAnswer: 139","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * 0.48.\nAnswer: -1.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 246?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (4 - (-1 - -4))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.67 - -0.33. What is the fourth smallest value in 0, d, 1, -0.01?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 13) to base 8\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 24 = 4*h, 0*h + 3*h - 6 = -3*l. Suppose l*w = w - 24. What is the units digit of ((-18)\/(-4))\/((-4)\/w)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 1377?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -583191, -1166364, -1749537, -2332710, -2915883?\n\"Answer: -583173*f - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + 121111?\nAnswer: 121101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 AM and 12:01 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of 4*g**3\/3 - 4*g**2 + 5*g. Let p be v(4). Is (1042\/(-4))\/((-12)\/p) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 255\/21 - (351\/(-91) - -4)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h**5 - 6772*h**4 - 578772*h**3 + 10691301528*h**2 + 4968317128338*h - 9979394724324 = 0. Calculate h.\nAnswer: -669, 2, 2361","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 87*b**2*f*t + 557*b**2*f - 22*b**2*t - 3*b*f + f wrt t?\nAnswer: 87*b**2*f - 22*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of -1\/4*g**4 - 6*g + 9 + 1\/2*g**2 + 8\/3*g**3. Let j be y(8). Solve 0 = -2*r - j*r - 16 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -6 + 30. Let f be 4\/15*(-1)\/(-4)*k. Suppose 4*o - o = 2*o. Which is the closest to f? (a) 11 (b) -4 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(-1))**(7\/4))**14 assuming z is positive.\nAnswer: z**49","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4280731220?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 392 is divided by 75?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -0.5, 17, -19 in decreasing order.\nAnswer: 17, -0.5, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - -49. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 4031848600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/2370584 and 47\/9?\nAnswer: 21335256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -5773, -35, -5, 0 in decreasing order.\nAnswer: 0, -5, -35, -5773","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 10 - 10 = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 34145 - 10956. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 7 + 5 = 0, 2*o = -2*r + 20. Suppose 2*d + 8 = -5*w - o, 0 = -3*d - w + 1. Suppose -d*p = p - 3. Solve -2*q + p = -3*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y - 3*y - y)*(-y**2 - 3*y**2 - 3*y**2) + (2*y**3 - 23 + 23)*(-4 + 1 + 2).\nAnswer: 12*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + f + 13 = -0*s, -5 + 4 = 3*s + 36*f + 5 for s.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 3277 divide 1597920346?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 + 2 - 7*c - 18.\nAnswer: -7*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 236*n**4 + 6*n**2 - 240*n**4 - n + 6*n**2 in the form u*n**3 + b*n**2 + g + y*n**4 + q*n and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 5*x. Let m(t) be the second derivative of t - 1\/3*t**3 + 0 + 0*t**2. Give m(j(r)).\nAnswer: -10*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1196*z - 18965 = -1201*z. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-290)\/(-15))\/(143\/429)?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 2*r = -110, 0 = r - 4*r - 12. Let z = -48 + k. Solve -z*h + 31 = -4*c, -41 = 4*c - 4*h - 5 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/1*((-51)\/153)\/(8\/264)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -86f19 (base 16) to base 11\nAnswer: -348301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68901279.\nAnswer: 3, 41, 560173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i - 2. Let j be s(-3). Let f = -13 - -20. What is the highest common factor of j and f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000 + 1100010010100001?\nAnswer: 1100010010101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/80 and 17\/126690.\nAnswer: 1013520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -384907, -769786, -1154657, -1539520, -1924375, -2309222, -2694061?\nAnswer: -3078892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 73159 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12\/((-23)\/((-1035)\/36)). Solve 167*b = 172*b - u for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -15.909270013 to one dp.\nAnswer: -15.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20960*h + 3982 = 21141*h for h.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-15 + 9) - (-4 + (-2 - -2)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 16*o. Let x be q(1). Suppose 14*s + x = 15*s. Calculate the highest common divisor of 4 and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0015875076 rounded to three dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 + 5*k - 3. Let p be 27\/(-5) + 15\/(-25). Let o be t(p). Determine b, given that -b**o + 4*b**3 + b**5 + 3*b**4 - 4*b**3 + b**2 + 4*b**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14851 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 225 is divided by 39.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3\/4 (b) -1 (c) 0.3 (d) 1\/3 (e) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c**2 + 7*c - 9. What is the tens digit of d(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*s = 3*s - 33*s - 288 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 965*k**2*o - 4*k**2 + 6 wrt o.\nAnswer: 965*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 337071400?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(2\/7))**(-2\/61)\/(x**(-2\/3)\/(x*x**5*x)) assuming x is positive.\nAnswer: x**(9791\/1281)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of 382529333140107 and 4.\nAnswer: 382529333140111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1044563326?\nAnswer: 2, 53, 9854371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 2.9. Let m = 42661.43 - 42661.33000071. Let c = m - q. What is c rounded to 7 decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d + d + d)*(8*d + d - 3*d)*(230*d - 457*d + 238*d).\nAnswer: 132*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-11)\/77 + (-39)\/21 + 31. Solve 34 = -5*u + m for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102110 + 1012?\nAnswer: -101021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 3*v - 1. Let p(n) = 6*n + 112. Let r be p(-18). Suppose 4*l + 12 = -r*q, -2*q - 18 = -4*l - 0*l. Determine j(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5764498018.00000238 + -5764498091. Let n = 73 + y. Round n to 6 decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-187*r**2 + 46*r**2 - 12*r**2)*(1 - 2 + 2)*(9*r + 8*r + 13*r) to u*r**2 + b*r + c*r**3 + o and give c.\nAnswer: -4590","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 14007512184 and 27476?\nAnswer: 14007484708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -9*u + 4*u, 0 = 2*u + 3*y. Solve x = -x - 5*j - 9, u = -5*x - 4*j - 14 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (26\/(-7))\/(99*134\/46431).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -34090633, -34090631, -34090631, -34090633?\n\"Answer: -q**2 + 5*q - 34090637","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 1171*d - 773*d - 1015*d in the form v + x*d and give x.\nAnswer: -617","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -21 divided by 394\nAnswer: -21\/394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -27142*n**2 - 2*n + 7495.\nAnswer: -54284*n - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - f = -137, 4*t - t = 4*f + 178. Solve 6*i + t = 28*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 661170 and 86?\nAnswer: 28430310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 94491707?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 16 - (-8 - -1) - (7 - (0 - -1))\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -98\/165 and (-18)\/1650*5191\/(-522)?\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1545?\nAnswer: 3, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3513017 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 0, 7, 16, 27, 40?\n\"Answer: m**2 + 4*m - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4477 rounded to the nearest 100?\nAnswer: 4500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 m, and 1 a when three letters picked without replacement from mmaamamnaaannaaajaa?\nAnswer: 44\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/(-2)*32\/56)\/1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*x**2)*(5*x**2 - 3*x**2 + 0*x**2)*(0 - 1 + 3 + 3 + 0 - 4 + (-3 + 4 - 2)*(-2 - 1 + 2) - 2 + 2 - 2 + 1 + 1 - 5).\nAnswer: -12*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -4*m - 25. Let j be 4*(0 + m\/(-20)). Solve 0 = u - z, -j = -5*u + z + 3*z for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-4)*20\/(-15).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1346 + 38071 = -2339*r - 5024 for r.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a litre in millilitres?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 72453520?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Put 8, -3, 40, 2 in decreasing order.\nAnswer: 40, 8, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 137483 a multiple of 129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5.2 + 1.2. Let v(h) = -21*h - 79. Let a be v(-8). What is the second smallest value in a, 0.4, p?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 2*z. Let w(j) = 3*j. Let p(s) = 4*b(s) - 3*w(s). Let t be p(-4). Let u(d) = -d**2 - 6*d + 1. Let y be u(-4). Solve -t*r + r = y for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 716 a factor of 381310?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 39483?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 71953?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -32.4545 - -32.4. Round g to 2 dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 2483 + 2485 = 3*d, -5*k + d = -22 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -2*m**2 - 24*m + 380. Let p be l(9). Solve 0 = p*v - 9 + 13 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8 or -7764?\nAnswer: -7764","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, v: 7, x: 2}. Give prob of sequence xxv.\nAnswer: 7\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 4*l + 4, s = 5*s - 3*l - 33. Let p(z) = 3*z**2 + 8*z - 1. Let i be p(-4). Differentiate 0*u - 20*u**3 + i + s*u**3 + 0*u with respect to u.\nAnswer: -24*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*s - 7*s - 40 = 0. Let y = -1 - 1. Let g(r) = 11*r**2 + 3*r + 1. Calculate the remainder when g(y) is divided by s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 198*x**2 + 648*x**2 - 199*x**2 - 252*x**2.\nAnswer: -x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -234798152 by -1609.\nAnswer: 145928","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 53 + -50. Let r(w) = 2*w**3 - 8*w**2 + 5*w + 3. Let x be r(n). Solve x*c - 5 = 3*g + c, 6 = 4*g - 5*c for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -23947*z. Let l(h) = 3998*h**2. What is l(b(a))?\nAnswer: 2292688318382*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -71 + 124743?\nAnswer: 124682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of d**2\/2 + 28. Let s(o) = -2*o + 0*o - 15 + 5*o - 2. What is s(x(b))?\nAnswer: 3*b - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.13? (a) 0.5 (b) 38 (c) 60 (d) -3 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 66 - 52.1. Let r = 13.899999854 - s. Round r to 7 dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1216 to the nearest one hundred.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4201 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (-12)\/18)*(595\/10 + -10)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 - 329*i**2 - 3733*i - 2376. Determine c(340).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-372)\/155)\/((-2)\/65). Calculate the highest common factor of s and 910.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11328, -89161, -300444, -711903, -1390264, -2402253?\nAnswer: -3814596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 5623*g - 1894957. Determine d(337).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 12:20 AM?\nAnswer: 3:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (24\/210)\/(2\/(-5)). Let x = 141 + -137.53. Let p = 0.47 - x. What is the nearest to p in -3, l, -0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 983 is divided by 82?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 115 + 22 + 36*v - 211 + 72.\nAnswer: 36*v - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -766.7800032097 - -766.78. What is c rounded to 7 dps?\nAnswer: -0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 3*x - 2*h - 198 = 0, -4*x + 3*h = -265. Factor -47*n**2 + 6*n - 49*n**2 - 12*n - 8 + 66*n - x*n**3.\nAnswer: -4*(n + 2)*(4*n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -5*z + 34, -2*z - 2*z + 8 = -4*u. Suppose i + 2100 = 6*i - u*a, -2*a = 2*i - 840. Suppose -5*s - 85 = -i. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + 7 + 2\/(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m - 2*m + 0*m)*(-5*m**2 - m**2 + 3*m**2 + 1)*(-3 + 1 - 1).\nAnswer: -18*m**3 + 6*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -161944, -161945, -161946, -161947, -161948?\nAnswer: -161949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of 11*j**2 + 42. Let k(u) = -5*u. Determine k(a(m)).\nAnswer: -110*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(51) + (sqrt(612)*-1)\/sqrt(12))\/(-4*sqrt(6)\/sqrt(2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25)\/75*858\/208?\nAnswer: -11\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 288 and 318496.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 6369, 12745, 19125, 25509, 31897?\n\"Answer: 2*q**2 + 6370*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7035246 or -7035248?\nAnswer: -7035248","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 273\/((2\/10)\/((-2)\/(-10)))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 + 4 + 1*48. What is the common denominator of -70\/9 and 60\/(-3)*4\/j?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yhiiyicyhiihiihiid. What is prob of sequence dy?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(1331) - ((sqrt(1331) - -3*sqrt(1331) - sqrt(1331))**2 + 4)) - (-1 + sqrt(1331) + -4 - (sqrt(1331)*1 + 1))) + 4.\nAnswer: -11975 + 11*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 2*r + 715 = 0. Let u be 490\/(-63) + 8 - 2149\/(-9). Let h = r + u. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7034, -30462, -69516, -124196, -194502?\nAnswer: -280434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11999693?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l + 11. Let u be n(7). Suppose -7 = -u*f + 5. Is f equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28843473?\nAnswer: 3, 139, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*v - 19*v = 348 - 348 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4840056 divided by 234.\nAnswer: 20684","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, m: 5}. What is prob of sequence mymm?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7801700 rounded to the nearest 100000?\nAnswer: 7800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 + (5 - -5) + 1 + 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 5*l + 35 - 7 = 0, -24 = -2*o + 4*l. Suppose 0*s = 3*s. Suppose -2*c + 1 = -k, s*c - 12 = -3*c. Calculate the remainder when k is divided by o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.243693 to four dps.\nAnswer: 0.2437","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 11:01 PM?\nAnswer: 1:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 5\/2, -0.2, 5, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -128, 3\/4 in decreasing order.\nAnswer: 3\/4, -4, -128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-34 - -39) - (5 + 3 + -2).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9 + 3\/(1 - -2). Let b be (-212)\/(-18) + v\/45. Let t(n) be the first derivative of n**3\/3 - 11*n**2\/2 - 5*n + 2100. Calculate t(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 146897418 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o. Let b(n) = 4*n + 1. Suppose 88*i + 30 - 16 = 102. Determine i*b(f) + 2*l(f).\nAnswer: 6*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15895, -15878, -15863, -15850, -15839, -15830, -15823?\nAnswer: -15818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of -t**2\/2 + 23*t + 25. Let b be w(17). Let a(l) = -l - 21*l + b*l. Let m(g) = -2*g. Give a(m(j)).\nAnswer: 32*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 24 - 67*z - 30.\nAnswer: -67*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 1\/4 (b) -1\/3 (c) -168 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7492 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4*3\/(-36))\/(-1). What is the nearest to k in 0, 4, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*d**2*r - 516*d**2 - 17*d*r**2 wrt r?\nAnswer: 5*d**2 - 34*d*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 3*r - 18, -o = 3*r - 0 - 6. Is 12 a factor of 3*1\/o*58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 PM and 12:25 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 4*r**3 - 8*r + 9*r**2 - 5*r**3 - 6*r. Let w be a(7). Solve 3*b + 9 = -w*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -39193.0158 to the nearest one hundred.\nAnswer: -39200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 less than or equal to 74?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 113 - 53 = 0. Calculate the smallest common multiple of p and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 233 to the power of 1\/2, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*j + 1500 = -35*j. Suppose -y - 2*y + 3*x + 357 = 0, -2*y - 3*x = -223. Let o = j + y. Is 28 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2159 is divided by 45.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, -3, 1\/10, -2\/29, 0.08?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1607340 or 1607348?\nAnswer: 1607348","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 693406 is divided by 414.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 690, 1377, 2064, 2751, 3438, 4125?\n\"Answer: 687*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 y when four letters picked without replacement from {y: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 32*w**2 - 14*w**2 + w**3 + 12*w**2 + 8*w**2 + 15*w**2 in the form h*w**2 + l*w + g*w**3 + r and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = a. Let u(m) be the second derivative of a - 1\/18*m**3 + 1\/36*m**4 + 0*m**2 + 2*m. Suppose u(i) = 0. Calculate i.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 3.8. Let w = b + 0. What is the closest to 0.2 in 4, -2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = d + 207, -d - 2*k - 231 = 2*k. Suppose 817 = 3*x - 404. Let u = x + d. Is u a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(5 + (-1 + 1*sqrt(117) + sqrt(117))*-6).\nAnswer: -144*sqrt(13) + 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.07 - 471.\nAnswer: -470.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10736 and 4392.\nAnswer: 96624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.08 in 0.1, -2\/7, 2\/7, -42463?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1802807 divided by -4.\nAnswer: -1802807\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 671 and 2257.\nAnswer: 24827","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/5 (b) 1 (c) -1.64\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b\/b**(2\/35)*b*b**24*b*b**(-3)\/(b\/((b\/((b**28\/b)\/b*b))\/b)) assuming b is positive.\nAnswer: b**(-107\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2 + 12)*(0 - 4 + 6)*(-2*u**3 + 5*u**3 - 2*u**3)*(-13 + 7 + 8) in the form k*u**2 + w*u + x + g*u**3 and give g.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 7*n + 1. Let g be o(-2). Let x = -9 - g. Let c(q) = q**3 - 4*q**2 + 2. List the prime factors of c(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 8*a**2 - 121*a + 17. Let j be p(15). Let t be (-3)\/(j - -19) + (-90)\/(-42). Solve 4*n + 2*q + 14 = 0, -2*n - 3*q = t*q + 19 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91703881 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -3*o**2 + 71*o + 24. Give t(24).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27640, -52701, -77762, -102823, -127884, -152945?\nAnswer: -178006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 - 466*j - 63365. Determine r(-110).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -84 - -188. Does 4 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 4*q + 18 = 4*a, 3*a + q - 8 = 0. Suppose 0 = -a*j - 4*i, -5*j + 0*i = -4*i + 56. Let v be (-6)\/4*j\/30. Is 1 <= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2211 + 0?\nAnswer: 2211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in 1556, 2\/5, -2, -1\/30?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 PM and 10:51 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0389934001 rounded to four dps?\nAnswer: -0.039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -4*k + 191. Determine y(38).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c**2 + 1332*c + 9226 = 0 for c.\nAnswer: -659, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 5.3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -18*d - 2. Let m(j) = -19*j - 2. Let n(o) = -3*h(o) + 4*m(o). Let s be n(-2). Suppose 0 = -8*u + s - 2. Solve -x + 2*f = 4*f, -8 = -u*x - 2*f for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 24 + 2)*(4*u - 5*u + 3*u)*(-1 + 1 - 1)*(3*u + 0*u - 4*u)*(25 - 25 - 16*u) to j*u + z + r*u**3 + w*u**2 and give r.\nAnswer: -800","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1 + sqrt(3) + 2)*-2)**2 - (sqrt(72) + sqrt(72) + 1*sqrt(72) + sqrt(72) + sqrt(72))\/sqrt(6)) + -2 + 0.\nAnswer: -2*sqrt(3) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*i - 22*i = -140. Suppose -4*j - 2*p + 16 = -0*p, p = 5*j - i. Solve -2*g = -j*g + 2*t, -g + 4*t - 15 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**14*l*(l**(-3\/2)*l)\/l)\/(l**(-14)\/(l**(-9)*l)))**(-20))**(-43) assuming l is positive.\nAnswer: l**16770","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of 2*j**5\/25 - 2*j**3\/15 - 7. Factor f(k).\nAnswer: 2*k**2*(k - 1)*(k + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**2\/r)\/(r\/((r**(-6)\/r)\/r)))\/((r\/r**(-4\/5))\/r**(3\/7))*(r**(-1\/4)\/(r**(-1\/13)*r))**(-1) assuming r is positive.\nAnswer: r**(-13101\/1820)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 39 = -45. Let x = 24 - f. Suppose r + 49 = 2*u - 14, -94 = -x*u + 2*r. Calculate the highest common divisor of u and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -151, -243, -303, -325, -303, -231, -103, 87?\nAnswer: 345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 6*l**2 + l**2 - 8*l**2)*(2*l**3 - l**3 + 0*l**3).\nAnswer: -l**5 + 2*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1218889?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from exxrrcxc?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let a be 4 - 10\/(-3 - -8). What is the third derivative of -4*p**3 - p**a + p**2 + 3*p**2 wrt p?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1172, 2 in increasing order.\nAnswer: 2, 5, 1172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -649959 - -1250402. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32)\/12*((-28)\/(-48))\/7.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -893\/4?\nAnswer: -893\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 170 - 162. Suppose -17 = 5*x + l, 1300 = 5*a + 2*x. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (2 + sqrt(605)*6)**2 - (-3 + -2 + sqrt(45) + 1).\nAnswer: 261*sqrt(5) + 21791","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 143.34 times -83.9\nAnswer: -12026.226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/105 and 181\/30.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 347, -1233, -5.\nAnswer: -1233, -5, 5, 347","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 31881197 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 4*i**3 + 2*i**2 - 2*i. Let a be z(-2). Let m = -19 - a. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1055411441?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -56\/3 and 10\/49.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 16*n + 1. Let m(t) = -100*t. What is m(p(q))?\nAnswer: -1600*q - 100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2, -1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12203910*l**4 - 1270342*l**2 + l wrt l?\nAnswer: -292893840*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 9:18 AM?\nAnswer: 6:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 16 = -8*i + 4*i, -1154*f + 1158*f - 4 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2018?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -4*r**2. Let s(x) = -85095*x. Let c(k) = 157*k. Let m(z) = -1085*c(z) - 2*s(z). What is m(j(l))?\nAnswer: 620*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 36 - 35.9. Suppose -2*i = -6*i - 16. Let n = i - -2. Which is the closest to 1? (a) z (b) 1\/5 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7114 + -4802. What is the thousands digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1447369500 rounded to the nearest 1000000?\nAnswer: 1447000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -5*b**2 - 29*b - 5. Calculate g(-4).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -205*2*10\/(-8). Let m = h - 587. Which is bigger: -74 or m?\nAnswer: -74","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t = 250 + -221. Suppose 32*h = t*h + 2571. What is the hundreds digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 12.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y*y**(2\/15)*y)*y*y**(-3\/7)*((y\/y**2)\/y*y)**(2\/9) assuming y is positive.\nAnswer: y**(-247\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15221\/45 - -1353\/4. Let s(c) be the third derivative of 0*c**4 + g*c**5 - 3*c**2 + 0*c + 0*c**3 + 0. Find w such that s(w) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -2*y**3 + 107*y**2 - 131*y - 144. Determine d(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 4 - 17)*(0 - 3 + 5)*(-28*i - i + 109*i + 46*i).\nAnswer: -2772*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 - 17. Let w = k - -2. Let a be (-16)\/21 - (-2)\/6. Which is greater: a or w?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_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: What is 6\/(-4)*120\/90?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.22999948 + 0.23. Round o to 7 decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gekkkkgkkk. What is prob of picking 1 e, 1 g, and 1 k?\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = -4*l + 3*r, 71*r - 2 = -2*l + 69*r for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*p + 0*p + p)*(3 - 2 + 1) - 34*p + 154*p + 136*p in the form k + q*p and give q.\nAnswer: 254","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 32908867 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 510 by 85.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 418 a factor of 43822885?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(-19)*g\/(g\/(g*g*g**(-9)))*(g**(2\/7))**(-8))**(1\/42) assuming g is positive.\nAnswer: g**(25\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -17 and -0.0215503.\nAnswer: 0.3663551","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 896437 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 - 20 - 65*k**3 - 7*k**3 + 57 - 22.\nAnswer: -72*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - 1635e422?\nAnswer: -1635e426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 7*b = -173, 7342*s + b - 30 = 7347*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange l**3 - 7*l**2 + 16*l**2 + 4*l**4 - 6*l**2 - 5*l**2 - l - 2 to the form y*l**4 + s + o*l + k*l**3 + t*l**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*m + 40 + 85 = 50 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60466 is divided by 1752?\nAnswer: 898","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-292)\/(-10))\/((480\/150)\/8).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 5080 - 66*p - 5080 as u*p + f and give u.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1406 to the power of 1\/2, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -102*p**3 + 11*p**2 - 840*p + 11*p**2 + 8*p**2 - 30*p**2.\nAnswer: -102*p**3 - 840*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 136\/(1\/4 - (-6)\/8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-12) + (-4)\/(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3, 61, 111, 141, 145, 117, 51?\n\"Answer: -k**3 - k**2 + 74*k - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -5*q**5 - 55*q**4 - 95*q**3 - 75*q**2 - 25*q. Let l(g) = -8*g**5 - 82*g**4 - 142*g**3 - 112*g**2 - 37*g. Let j(r) = 5*l(r) - 7*p(r). Factor j(z).\nAnswer: -5*z*(z + 1)**3*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 2 v when four letters picked without replacement from gvnnygvgg.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 PM and 11:02 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 92*t + 166471 - 999623. What are the prime factors of t?\nAnswer: 2, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -7*w + 8. Calculate o(-4).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 119 - -72. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**22\/(y\/(y**(-4)*y)) assuming y is positive.\nAnswer: y**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/6 - 20\/(-12). Let b be 0\/(3\/(-3) - -2). Suppose -5*t + b*h + 14 = i*h, 2*t = -2*h + 8. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29982.\nAnswer: 2, 3, 19, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, i: 18}. What is prob of picking 3 i and 1 j?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = n - 208. Suppose -2*b = 2*b - n. Does 14 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5905271807?\nAnswer: 47, 3203, 39227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 11995071 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*l + 42*l = 60 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3785*q**2 - q*z**2 + q - 21*z**2 + 2*z + 979 wrt q.\nAnswer: -7570*q - z**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -3*g - 10. Let n be p(-2). Sort 1, n, 5, -3 in ascending order.\nAnswer: n, -3, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mcm when three letters picked without replacement from ccmmmcmcmcmmmm?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 - 41*t**2 - 341*t - 561. Determine u(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -175, -361, -579, -835, -1135, -1485, -1891, -2359?\n\"Answer: -a**3 - 10*a**2 - 149*a - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, 80, 159, 238?\nAnswer: 317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 - 22*n**2 + 93*n - 106. Let j be o(17). What is the highest common divisor of j and 2445?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1600, -0.5, 0.09, 4 in decreasing order.\nAnswer: 1600, 4, 0.09, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9769301 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2087392 take away -0.5?\nAnswer: -2087391.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 139442*a**3 - 1119*a**2 + 509399481?\nAnswer: 418326*a**2 - 2238*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -713692 - 125*f**2 + 713692.\nAnswer: -125*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -177*(-2)\/14 + (-6)\/21. Suppose -y + c = -8, 0 = -c - 4*c - b. Solve 19 = -q + 5*k, y*k = 3*q - q + 17 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of -28 + 9*r - 5\/2*r**2 + 1\/3*r**3. Let s be a(4). What is the biggest value in -6\/13, -0.1, 0.4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 24*i + 3. Let h(z) = 25*z + 3. Let w(u) = -2*h(u) + 3*l(u). Suppose 18 = 12*a + 6. Let j be w(a). Is j < 26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 0*z = 0. Suppose z = 2*r + 2838 - 378. Round r to the nearest 100.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in twenty-one fifths of a meter?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + 2*v - 28, 5*t - 9 = 4*t - v. Let n(p) = p**2 - 10*p - 4. Let w be n(t). Sort 10, 3, w, 2 in decreasing order.\nAnswer: 10, 3, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*p + 10. Find the third derivative of k**4 + 6*k**2 - 3*k**2 + 2*k**p wrt k.\nAnswer: 72*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74 = 7*w - 88. What is the remainder when w is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 29 - 3*b - 48*b - 29 + 17*b**2 wrt b.\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 - 15. Suppose o = -3*r - 3*o + 30, x = 2*o - 6. Let y(p) = -2*p + 7. Determine y(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 33\/13196 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 3*f + 12 = 0. Let w(c) = 2 - 5 + 0*c**2 + c**2 - 2*c**2 - 7*c. What are the prime factors of w(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -758081 + 5?\nAnswer: -75807a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-608)\/64)\/((-1)\/122)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/4 + (-1)\/4)\/2. Suppose 3*s - 7*s + 347 = q, l = q - 3*s - 319. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 + 26*c**2 - 167*c - 14. Let l be x(14). Is l at least as big as -3\/1963?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 a factor of 2991?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3369238429 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 137 + -232. Let z = s - -103.8. Round z to 0 dps.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1947?\nAnswer: 3, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 15 and 0.0333.\nAnswer: 0.4995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1647 (base 9) in base 11?\nAnswer: a44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 7 = -3*p, 0 = 4*p - q - 13 + 37. Let u = 199.702 - 197.702. Let k = -548\/5 - -110. Which is the closest to k? (a) 7 (b) p (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (33\/2)\/(9\/12). Let g be (-64)\/(-11) + 4\/c - 2. Let f = 6 - 2. Solve -4 = g*b + f for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - x**2 - 4)*(30*x**2 - 13*x**2 - 4*x - 15*x**2)*(16 + 50 + 52).\nAnswer: -236*x**4 + 472*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-225)*6)\/(198\/60 + -3)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.55*313328\nAnswer: 172330.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((-6)\/(-45)*75\/250)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = m - 3*t - 24, -2*m - 3*t + 48 = 0. Calculate the smallest common multiple of 18 and m.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8624 - -4?\nAnswer: -8620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 38 - 33. What is the second smallest value in q, -3, -5, -13?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*f**2 - 18*f**2 - 88 + 26*f**2 to the form r*f + x*f**2 + i and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1402488 is divided by 175310.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25 + 27. Differentiate -10*k**2 + 14*k**f - 21 + 23*k**2 wrt k.\nAnswer: 54*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((-3)\/3)*3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25 - -33. Suppose 6*k - 4 = z. Let m(f) = k*f**2 - 13*f**2 - 4*f**2. Let q(i) = i. Determine m(q(v)).\nAnswer: -15*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 93\/(-156) + -5*18\/(-120).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 118093452?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18969 by -3.\nAnswer: -6323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -511 - -512. Which is the closest to o? (a) 0.06 (b) 0.3 (c) -18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 482 - 222041*f**2 + 222039*f**2 - 482.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 59996071?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1267\/68941 + -3\/3884. What is the common denominator of -43\/4 and j?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16645 to the power of 1\/2, to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, s: 2, x: 4, f: 8}. What is prob of picking 3 f?\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6028 and 62722?\nAnswer: 17185828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 + 10.22. Let s = o + -0.32. Let m = -63.3 + 62.4. Is s less than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -135525300 (base 7) in base 2?\nAnswer: -100010000000010111000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 4, k: 1, b: 3, z: 2, x: 1, h: 1}. Give prob of sequence hnzk.\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*j**2 - 19*j**2 + 28*j**2 + (-5*j + 5*j + j)*(4*j + 0*j - 2*j) to c + f*j + d*j**2 and give d.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3180)\/(-9) + 10\/15. Let r = -156 + b. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, j: 2, y: 3, p: 1}. Give prob of sequence jy.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 112*a**3*d**2 + 3*a**3*d*r**2 + 49*a**2*d**2*y + 2*a*d*r**2*y - a*y + d**2*r**2 - 2579*d*r**2*y wrt d?\nAnswer: 224*a**3 + 98*a**2*y + 2*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -2\/185 (c) -0.15 (d) -1\/4 (e) -0.3 (f) 128.6\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of -w**6\/660 + w**5\/165 + w**4\/132 - 2*w**3\/33 - 4*w**2. Factor y(s).\nAnswer: -2*(s - 2)*(s - 1)*(s + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39, 75, 111, 147, 183?\nAnswer: 219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - 63. Let n = -67 - q. Solve -2*p = -n*p + 2 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {t: 2, d: 1, j: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -6*u**2. Let b(q) = -3*q**2 + q. Calculate t(b(w)).\nAnswer: -54*w**4 + 36*w**3 - 6*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -2.007, -97\/3, -0.09 in descending order.\nAnswer: -0.09, -2.007, -97\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -2787 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.03, 12, 2\/11, 5, 10?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1727614934 to the nearest integer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3368284?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 1 + 2*a**2 + (1 - 1 - 3*a)*(13*a - 77*a - 183*a) as c*a**2 + u*a + n and give c.\nAnswer: 743","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 + 121 = 3*d + 5*d - 82 for d.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -3*n - 7. Suppose 4*j - 24 = -4*j. Let g(l) = l**3 - 5*l**2 + 3*l + 2. Let z be g(j). Give t(z).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -18*o - 5. Suppose 3*k - 19 = -31. List the prime factors of j(k).\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 2*i + 7*i - 100 = 0, -2*b = 5*i - 52. Calculate the least common multiple of 14 and b.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5022 and 4?\nAnswer: 10044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a micrometer in nanometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c - 60 = 5*c. Suppose -2*x = g + 1, 5*x + 2 = -2*g - 4. Let z(f) = 2*f**2 - 11*f - 17. Let n be z(g). Solve n*p + c = -8 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(539) + 0 + sqrt(539))*6 + sqrt(539) + (sqrt(539) + (sqrt(539) + -2 - sqrt(539)))*-2))**2.\nAnswer: 9856*sqrt(11) + 1043760","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -140590.9958 to the nearest 100.\nAnswer: -140600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 221 by 221.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 - -17. Calculate the highest common factor of 28 and z.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2*n**2 + 7*n - 3. Let u(f) = 10*f**2 + 36*f - 15. Let l(y) = -11*c(y) + 2*u(y). Give l(-5).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v - 3. Let h be j(13). Let c = -5 + h. Solve -3*t = -c*q - 8, 9 = -5*t + 3*q + 1 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 136485135 and 135.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9 and -1.2832.\nAnswer: 11.5488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence idi when three letters picked without replacement from {d: 5, i: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 72 and 334056.\nAnswer: 1002168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 21*o - 38. Let x be k(2). Which is the third biggest value? (a) x (b) 17 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - -6. Suppose -31*z - 240 = -111*z. Solve 2*y = b - z - m, b = 5*y + 25 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*i - 8*i + 15*i)*(-3*i + 2*i + 3*i)*(0*i**2 + 2*i**2 + 0*i**2).\nAnswer: 76*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 26, 103, 230, 407, 634, 911, 1238?\n\"Answer: 25*i**2 + 2*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 99\/22 + -4 - (-25)\/10. Let s = -2 - -3. Solve 2*j = -4*o - 2, 2*j + s = -i*o - 2 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -1 + 8*f - 6*f + 1. What is d(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2*1\/(-7) - 0. Let a = -10767.67 + 10768. What is the closest to t in 3, -1, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 2. Let n = -6 - o. Is (n\/9)\/(4\/(-618)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -31 + -18 + (18 - (-11 - 2)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 574284 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 101022211000121 (base 3) to base 8\nAnswer: 24736470","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3235)\/99638)\/((-3)\/(-42)).\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78 - 78 - y - 2*y.\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 274 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2022 is divided by 59?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 15865?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-432)\/88)\/(741\/(-2717)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 70, 249, 536, 931?\n\"Answer: 54*a**2 + 17*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/(-6) + 0 - 2*-10. Solve 12 - u = -4*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 4*i. Let b = -264 + 262. Give u(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*p + 13*p + 0 + 0 = 0. Solve 5*s - 30*s - 125 = p for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5540815?\nAnswer: 5, 7, 23, 6883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 446*s**2 + 32*s**4 - 448*s**2 - 1 + 5*s**4 - 8*s + 2 + 16*s**4 to z*s**4 + k*s**3 + m*s**2 + o*s + v and give z.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 300 + -243. Suppose -2*s + s + 9 = 0. What is the highest common divisor of l and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*l - 107*l - 67351 = -5236. Which is bigger: -503 or l?\nAnswer: -503","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1949174 is divided by 72191?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1684862 to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 4425447.\nAnswer: -442544.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -0.22 (b) -8 (c) 0.2 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = -64*v + 126*v - 66*v + 19, -3*v + 15 = -u for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - -59. Suppose 0*w + s = 2*w. What is the remainder when w is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bd when two letters picked without replacement from wdfubbdfdddfffuf.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12378 and 825779703?\nAnswer: 6189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 7*n. What is a(-1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -645619, -1291237, -1936855, -2582473, -3228091, -3873709?\n\"Answer: -645618*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmddmdmdmmdm. Give prob of picking 2 d.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -5*f**3 - f**2 + 2*f - 5. Let i(p) = -7*p**3 - 2*p**2 + 3*p - 8. Let j(o) = 5*i(o) - 8*r(o). What is the units digit of j(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 55 + 113 + 116 - 49 + 195 - 2*z to u + r*z and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 160 = -0*k. Let w = k + 53. Suppose -w*q + 49*q - 24 + 756*q**3 - 753*q**3 - 18*q**2 = 0. Calculate q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -2*u**2 + 23*u - 27. Let v be n(10). Solve 7 = 4*b - 5*h, 2 + v = -b - h for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5004 and 20?\nAnswer: 25020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssssssjssjs. What is prob of sequence sjsj?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-23)\/(1932\/(-105))*16\/390\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25947*u - 80263*u - 51369*u.\nAnswer: -157579*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108*v = 238*v + 43*v - 1384 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.3 + -2.3. Let s = 1 + j. Let r = 0.89 + -0.39. Which is the second biggest value? (a) r (b) 5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -35 + -28. Let z = m - -62.8. Suppose 2*l = 6*l - 4. What is the nearest to l in z, -5, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4952\/33 - -1636\/11. What is the third smallest value in 0.871, j, -2\/17?\nAnswer: 0.871","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71216.52 millilitres in litres?\nAnswer: 71.21652","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/v**(-2)*v*v)**(-31))**(1\/27)*(v**(-5)\/(v**(-3)*v))\/((v*v*v\/((v**(-2\/27)*v)\/v))\/(v**(-4)*v)) assuming v is positive.\nAnswer: v**(-431\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17392 = -6*w + t + 17360, 3*t - 6 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 AM and 11:37 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jrrr when four letters picked without replacement from {j: 3, g: 7, r: 3, o: 2}?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -12*m**3 - 265*m**2 - 24*m - 99. Give f(-22).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -331110.1 + -29\nAnswer: -331139.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3\/4 (b) 1 (c) 80 (d) 5.53 (e) -22\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.06706 to three decimal places.\nAnswer: 0.067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 253344.\nAnswer: 2, 3, 7, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.019 (b) 2083 (c) 129\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 57*r**4 - 3*r**5 + 5*r**4 - 10*r**2 + 0*r**2 + 16*r**2 - 10*r**2 wrt r.\nAnswer: -180*r**2 + 1488*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -45\/62783 or 0?\nAnswer: -45\/62783","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -22 in -0.3, 5\/3, -3, -73, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 509898*u**5 + 293338*u**2?\nAnswer: 30593880*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 370*s**3 - 4074*s**2 + 6704*s - 72 = 0?\nAnswer: 2\/185, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 636 - (-11 + (2 - -5))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 29427 and 7276?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001011111111100010 (base 2) to base 8.\nAnswer: -1137742","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f + 8. Suppose -10*z - 9 = -13*z. Let i be h(z). What is the third derivative of 0*y**i - 26*y**2 - 6*y**2 - 8*y**5 - y**5 wrt y?\nAnswer: -540*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of 3*m**4\/20 - 89*m**3\/10 - 9*m**2 - 128*m. Factor f(o).\nAnswer: 3*(o - 30)*(3*o + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -12770*g + 2046. Is k(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 (base 16) to base 12\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 15 + 15 = 5*c, 11*o - 2*c - 66 = 0. Let s(v) = 9 - 2*v - 4*v + 4*v. Calculate s(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of 8 + 3\/4*f**4 + 2*f**3 + 3\/2*f**2 + 1\/160*f**6 + 0*f + 9\/80*f**5. Let r(j) be the second derivative of c(j). Factor r(o).\nAnswer: 3*(o + 1)*(o + 4)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of 5*t**3\/3 + 12*t. Let u(x) = -x**2. Give u(m(n)).\nAnswer: -100*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -180 by -6.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -18 + (-2 - 5) + 24\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.98 + 2. Let s = 4.02 - u. Sort 0.4, s, 0.1 in ascending order.\nAnswer: 0.1, 0.4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -799.5.\nAnswer: 798.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -51 - -59. What is the greatest common factor of r and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 3)*(-3*p + 2*p - p) + ((3 - 5 + 0)*(-2*p + 0*p + 0*p) + 5*p + 0*p + 12*p)*(2 - 2 + 2).\nAnswer: 34*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + 1122221?\nAnswer: 1122202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -124, -286, -550, -910, -1360, -1894, -2506?\n\"Answer: b**3 - 57*b**2 + 2*b - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*a**5 + 4*a**5 - a**5 + (3*a**4 - 3*a**4 + 2*a**4)*(1 - 1 + a) + a**5 + 2*a**5 - 2*a**5 - 2*a**5 - 1 - 3*a**2 + 4 - 4.\nAnswer: -a**5 - 3*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = w + 5*n - 24, -5*w - 3*n = -28 - 4 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 3*c + 3. Let t(v) = 72*v + 650. Let w be t(-9). Let m(q) = -15*q - 16. Determine w*m(i) + 11*g(i).\nAnswer: 3*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8630 + 628 = -49*z + 14342. Calculate the least common multiple of 456 and z.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24204767 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -3*p**2 + 2. Let g(x) = -2*x**2 + 2. Suppose 4*s + 21 = c, 0 = 2*s - 2*c - 19 + 31. Calculate s*g(q) + 6*i(q).\nAnswer: -8*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -c (base 14) in base 4?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uibhxgu. What is prob of picking 1 b and 1 x?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -9 (b) -115 (c) 2 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2056, 5894, 12290, 21244, 32756?\nAnswer: 46826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -74692*w**2 - 94109*w - 2?\nAnswer: -149384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 9*a = 132. Solve -a = -2*f + 4*n, 4*f = -n - 1 - 2 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 4*h**3 - 40*h**2 + 79*h + 141. What are the prime factors of y(26)?\nAnswer: 3, 5051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1687170 and 9340.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6079\/9 - 675. Let w = 24 + -24.01. Let v = w - 0.29. Which is the fourth smallest value? (a) 1\/4 (b) u (c) v (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -5.6. Let l = 4561 - 4560.8. What is the closest to l in -0.4, 5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3034655 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (656\/280)\/((-858)\/(-30030))?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -78*(-1 + (-4)\/(-8)). Calculate the highest common factor of 13 and n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -7122, -7136, -7160, -7194, -7238?\n\"Answer: -5*n**2 + n - 7118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 209339600?\nAnswer: 2, 5, 523349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -407 - -421. Suppose 3*l + 56 = g + l, -5*l - 290 = -5*g. What is the smallest common multiple of f and g?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 0*b - 8 = 0, 2*w = 3*b + 464. Let q = w - 191. Is 34 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-93)\/(-162)*3*3)\/((-4)\/(-408)*-17)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46963475*n = 46963473*n - 180 for n.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0525366 rounded to three dps?\nAnswer: -0.053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34, 56, 78, 100?\nAnswer: 122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2416765850?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2465528\/11 at most 224138?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6 + -3 - 4)*12. What is the units digit of ((-80)\/6)\/(u\/54)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 5630491?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9955 divided by 12.\nAnswer: 9955\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 69 (b) -2 (c) 6 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 3112340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -25*t**3 + 1. Let w(l) = -l**3 - l. Let c(j) = d(j) - 2*w(j). What is the tens digit of c(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.41 plus -309.236678?\nAnswer: -308.826678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 75 + (-7 + -4 - 20).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rmgccrcgmmgcrrrrm. Give prob of picking 3 r.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1139 and -0.4.\nAnswer: 1138.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 730\/(-292)*(-2)\/(-5)*-19?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z**2 - 20240*z - 40496 = 0 for z.\nAnswer: -2, 5062","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15464.5 + -15464. Let i be ((-1)\/(-15))\/(1\/(-3)). Let h = -8 + 5. Which is the closest to 1\/3? (a) i (b) h (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(32) - (sqrt(32)*2 + 2))**2.\nAnswer: 16*sqrt(2) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - v**5 + (4*v - 5*v + 0*v)*(970 + 58*v**4 - 970).\nAnswer: -59*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 5*d + 85 - 222 = 0, -2*d + 593 = 5*c. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(2808\/(-20))*(-508)\/(-635).\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 equal to 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(6\/7)*w)\/(((w*w**6\/w*w)\/w)\/w)*(w\/(w\/(w*w*(w*w**(-2\/5))\/w)))**(-2\/13))\/((w*w**(-2))**14*(((w\/((w*w*w**2)\/w))\/w)\/w*w)**26) assuming w is positive.\nAnswer: w**(40318\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*c + 16*c + 18*c)*(1 + 3 - 3)*(-2*c**3 + 0*c**3 + 7*c**3).\nAnswer: 95*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -3*v - 3. Suppose 0 = -5*j + 5*o + 15, v = j + o + 3*o. What is the highest common divisor of j and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -529429 - -144?\nAnswer: -529285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1028, 152, -7 in ascending order.\nAnswer: -1028, -7, 0, 152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1778 - 11?\nAnswer: -1789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/((-12)\/(-1))*8.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = -4*n - 5, 4*n - 7 = -2*x - 9 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -30*y + 12. Let o = -160 - -154. What is the hundreds digit of z(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-1))\/(v\/(v*v\/v**(2\/7)*v*v))*v**(-5)\/((v*v**(-1\/8)\/v*v*v)\/v*v))**(-2\/13) assuming v is positive.\nAnswer: v**(233\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o + 7. Let x be -5*(-2 + -2)\/4. Let l be g(x). Let f be l\/6 - 56\/(-12). Solve f*v = 19 + 6 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21 + 31. Let g = -9.9 + q. Put 2, 1\/7, g in ascending order.\nAnswer: g, 1\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*j - 13. Find the common denominator of j + (197\/(-14) - -2) and ((-69)\/6)\/(-9 + 0).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 12*s = 28. Solve -s*m = q + 16, 4 = -2*m - 3*q + 6 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 13 = -1. Let b(d) = -11*d - 8. Let o be b(-1). Suppose -15 = 8*h - 7*h + 2*s, -5*h = o*s + 40. Put 2, a, h, 1 in decreasing order.\nAnswer: 2, 1, a, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -3*c**2 + 9*c + 4*c - 14*c = 0?\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) 0 (c) -1\/34 (d) 0.2 (e) -1.45\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t**2 + 0*t**2 - 2*t**4 + (5*t - 2*t - t)*(2*t**3 + 2*t**3 - 6*t**3) + 0*t**4 + 2*t**4 - 4*t**4)*(0 + 2 + 0)*(4 - 5 + 3)*(54*t - 127*t + 53*t).\nAnswer: 640*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*w - 80 = -25*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 3\/7, -3\/4, -4, 2.\nAnswer: -13, -4, -3\/4, 3\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 44\/(-11) - (0 + 0). Which is the third biggest value? (a) 2 (b) -2 (c) -0.4 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 PM and 3:12 PM?\nAnswer: 178","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is 1680843350 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -39\/112 + 1\/16. Let h = -21.98696 - 0.01304. Put -3, -2\/17, h, w in decreasing order.\nAnswer: -2\/17, w, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -15*r**3 + 17*r**2 - 5*r + 5. Let t(y) = 23*y**3 - 26*y**2 + 8*y - 8. What is -8*l(m) - 5*t(m)?\nAnswer: 5*m**3 - 6*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (0 - 4 - -4) - 4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in -0.5, 82, 1\/2, 4, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89770?\nAnswer: 2, 5, 47, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 111515010 divided by -11151501.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*j**2*t**2 + 2*j**2*t - 304*j**2 + j*t**2 - 23*j*t + 31*t**2 wrt j.\nAnswer: -18*t**2 + 4*t - 608","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (8\/4 - 2) + 0. Suppose 0 = -3*y, -3*u + 81 = -d*u + 4*y. Calculate the lowest common multiple of u and 12.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*t - 5*f = -76*t + 13, 0 = 8*t + 4*f - 4 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*w + 7*w = 31*w - 0*w - 9163 for w.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93113 = 6237*s + 449506 for s.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (64\/(-112))\/(20\/(-14)). Put 0.2, w, 5 in descending order.\nAnswer: 5, w, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(243) + 0 + sqrt(243) + 3.\nAnswer: 3 + 18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.042243 - 0.0433. What is p rounded to 4 dps?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11 and 1166?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 11:45 AM?\nAnswer: 8:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22, 70, 148, 256, 394?\nAnswer: 562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1253 is divided by 288?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k**(-6\/5)*k*((k*k**(-6)*k)\/k)\/k*k*k**16\/(k*k**(-3\/10)) assuming k is positive.\nAnswer: k**(111\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -31 - 23 + 55. Let j(o) = -o - 3. Suppose 5*w + 0*w + 10 = 0. Determine w*t(s) - j(s).\nAnswer: s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -229 = -4*x + 5*v, -23*x + 22*x - 3*v = -53. What is the smallest common multiple of 2 and x?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -7416087 and 18978.\nAnswer: -7397109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106*q - 21 + 869 = 0 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2\/25 - -19\/75. Which is the closest to -2? (a) 4 (b) -1 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1080\/(-14) - (-1)\/7. Is 14\/o + (-3986)\/(-22) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1\/35 - 67\/105. Which is the closest to -3? (a) -4 (b) u (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 536\/7638*(-19)\/(-2). Which is the nearest to -1? (a) -3 (b) s (c) 9\/37 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**2 - x**2 + 11*x**2)*(-20*x**2 + x - 17*x**2 + 35*x**2).\nAnswer: -20*x**4 + 10*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1041198 + 1041174.99895. Let r = -0.14 - 22.86. Let x = r - y. Round x to 4 decimal places.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate h**2*i**3 - 4*h**2 - 297*i**3 + 6 with respect to i.\nAnswer: 3*h**2*i**2 - 891*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1406, 4, -210, -3, -2 in decreasing order.\nAnswer: 4, 1, -2, -3, -210, -1406","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 33301 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1\/572 + 1137\/4004. Put g, -3, -1\/5 in descending order.\nAnswer: g, -1\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6208 to the power of 1\/2, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - o - 1583, 1882 = 3*v - 4*o - 495. Suppose -38 + v = 3*q. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -40\/9 and 137\/58384092?\nAnswer: 175152276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12)\/(-18) - (-730)\/(-6). Is 3 a factor of (w + 13)\/(3\/(-2))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 29 + -21. Let f(i) = -2*i**2 + 18*i - 12. Let u be f(q). Solve 4*a - 3*a + 17 = -5*c, 0 = u*c - 5*a + 2 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41 + -73 + 85 + (6 - -19).\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6.4 and 48.693.\nAnswer: 311.6352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, v: 3, o: 4, b: 1, a: 1, l: 6}. What is prob of sequence ovl?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 224748?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 9374 divided by -86\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*y = -0*y + 645 - 113. Suppose 2*r - 309 + 43 = 0. Calculate the highest common divisor of y and r.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from oooooooqoooooqoooqqo?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 10 = 5*b. What is the common denominator of 13\/36 and (b\/7)\/(810\/(-4095))?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 - -15. Suppose m*c - 223 = -w, -3*w + 2*w - 182 = -4*c. Calculate the remainder when c is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 + -60 + 44 - (1 + -6).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -5*z. Let u(j) = 14*j. Let d(r) = 17*q(r) + 6*u(r). Let o(i) = i - 31. Give o(d(v)).\nAnswer: -v - 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 44*m**3 - 2*m**2 + 1. Let c be k(1). Let f = c - 30. What are the prime factors of f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) 22\/3 (c) 0.5 (d) -2\/15 (e) 0.06 (f) -0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b + 154?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 4, -152, -1\/4, 0?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 161149 + 158865 = 2*f, 0 = -3*u - 2*f - 192002. Let l be (-1)\/2 + u\/(-4). What is l rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*b**4 - 386*b**2*h**3 - 4223*h**3 wrt b?\nAnswer: 12*b**3 - 772*b*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.1900423*0.1.\nAnswer: -0.11900423","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -743*b = -723*b - 20 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.07 and -0.04064?\nAnswer: -0.0028448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 66\/30 - 2 - -1. Let q = -1 + 0. Let v = 1 - q. Which is greater: v or z?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-3 + 33\/12). Let m = x + 7. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 4*w - y + 893, -5*y + 1771 = 4*w. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 + 99*k + 734. What is w(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of t - 3\/20*t**5 - 3\/2*t**2 + 0*t**3 + 0*t**4 + 0. Calculate the remainder when f(-3) is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*g + 3*m - 2209 + 2188, 13*g + 80*m - 82*m = -36 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v + 5 = 19. Sort v, 5, -3, -34 in decreasing order.\nAnswer: 5, v, -3, -34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 32 = 178. Let u = o + -36. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -95 - -91. What is the nearest to 2\/7 in -8, x, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 132226 and -8437305067.\nAnswer: -8437172841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1582, 3169, 4756, 6343, 7930?\nAnswer: 9517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 divided by 3?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2226?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*c - 12*c + 13 - 2 - 11.\nAnswer: -8*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z = -2598 + 2630. Are z and -3\/758 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44558134 to the power of 1\/5, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-5)\/(-4) - 0)*(-185 + 177). Let q(h) = -6*h - 36 - 6*h - h. What is the units digit of q(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 54*z**3 + 2*z**2 - 407 + 407 to the form a + o*z + v*z**2 + w*z**3 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 848 and 44?\nAnswer: 9328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 + 4*z**2 + 4*z. Let c(v) = v - 1. Let b(r) = c(r) + h(r). Suppose 0 = -6*p + 2*p - 4*l + 28, -5*l + 30 = 4*p. Give b(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 997222730 a multiple of 850?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 59.85 + -60. What is the biggest value in -2, 2, z?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 117 (c) -261.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 792 and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -8 + 7*c**3 - 8*c**3 + 4*c + 0*c**3 - 1 - 5*c**2. Let v(g) = -g**3 - 4*g**2 + 3*g - 8. Let l(x) = -3*r(x) + 2*v(x). What is l(-8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -47463*q**4 - 108*q**3 + 2*q - 84170907 wrt q.\nAnswer: -189852*q**3 - 324*q**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in f + 3*f + 548*f**2 - 553*f**2 - 4*f.\nAnswer: -5*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 AM and 9:15 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 44\/18 + 24\/(-54). Suppose 4*v + v + 3*k = 5, 2*v - x = k. Let j = -2546\/13 + 196. What is the nearest to -1\/4 in -3, v, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*5*(5 + (sqrt(180) + sqrt(180) + (sqrt(180) - (-1 + sqrt(180) - sqrt(180))) + 0 - sqrt(180)) + 5))**2*1.\nAnswer: 237600*sqrt(5) + 756900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 + -60. Let h = q + 46. Solve 2*v + h*a - a = -11, -26 = 5*v - a for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 + -20. Is 0.1 smaller than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + -7. Let n = 0 - r. Find the third derivative of 2*c**2 + 6*c**n - 3*c**3 + c**2 wrt c.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**2 - 5*q + 6. Let x be r(8). Let h = x + -89\/3. Which is the smallest value? (a) 1\/4 (b) h (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -105 + 105. Put -4, f, -3, 5 in decreasing order.\nAnswer: 5, f, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g = g - 3110. Suppose 0 = -12*a - 21871 + 3115. Let f = g - a. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-12)*s*s*s**(-4\/3))\/((s*s*s\/s**(4\/3))\/s*s*s\/(s\/(s*s*s**(-3)*s*s))) assuming s is positive.\nAnswer: s**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/1012 and -113\/286.\nAnswer: 13156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3147 is divided by 1047?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 118 - 80. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -61.9502 - 5.1958. Let i = 0.146 + c. Let f = 66.9999973 + i. Round f to 6 decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 + 5*p**2 - 3*p - 4. Let s be q(4). Let i be (1 + 3 + -5)*0. Suppose 10*j - 72 + 12 = i. Solve w - 2*w + 5*h - 12 = 0, -2*h + j = s for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/68 or 1?\nAnswer: -1\/68","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(((f\/f**(2\/5))\/f)\/f))**48\/(f\/(f\/(f*(f\/(f*f\/(f\/f**11*f)))\/f)*f)*(((f\/((f**(5\/2)\/f)\/f)*f)\/f)\/f)\/f*f) assuming f is positive.\nAnswer: f**(1267\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 19 = 24086*f - 24085*f, -3*y = f + 29 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 52 and 14.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.45 - 0.05. Let x = s - -0.5. Sort x, 0.2, -5.\nAnswer: -5, x, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 0 + 0 - (-82)\/18 and (18\/63)\/((-6)\/28)*804\/(-768).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 7 + -45 + 22 + -12 - -65?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2*v**2 - 5*v - 9. Let l(r) = 0*r**2 - 2*r + r**2 - 2 - 3. Suppose 12 = -0*n + 3*n. Let z(q) = n*j(q) - 7*l(q). Calculate z(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -5*z**2 - 87*z - 33. Let g be j(-17). What is the nearest to g in -5, 2\/13, 2\/3, -1\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9\/(-6)*3\/(-270). Let r(x) be the third derivative of -3*x**2 + m*x**6 - 1\/12*x**4 + 0 - 1\/15*x**5 + 0*x + 2\/3*x**3. Determine b, given that r(b) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 6 + 1 = 5*o, 1 = -o. Suppose g + 2*g + 9 = p. Let z be ((-1)\/g)\/((-2)\/(-18)). Solve 4*s - z = -3*y, -6 - 5 = -y + 2*s for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 + 14*a**2 - 13*a - 1. Let i be v(-15). Is 18 a factor of (6\/5)\/(i\/(-15) + -2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = -314 + 298 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-116)\/64 + 2)\/(4 - 39\/12)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, -1.631, 6, -2\/5 in descending order.\nAnswer: 6, 2, 0, -2\/5, -1.631","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 5725518 (base 9) to base 2\nAnswer: 1011110001110101111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40\/(-480)*0*(-3)\/18?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (3\/(-6))\/((-3)\/(-18))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*w + s = -26, -3*w - 4 = -w + 2*s for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*c = 2*m - 12*c - 14*c - 4, 0 = -10*m + 10*m - 3*c for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 210 divided by 7?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, a: 3, u: 1, n: 4, e: 1, o: 1}. Give prob of picking 1 u, 1 o, and 1 a.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 521374 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cb when two letters picked without replacement from {f: 2, r: 6, c: 3, y: 2, b: 1}?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 245b (base 12) to base 15\nAnswer: 1338","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ahtz when four letters picked without replacement from {z: 6, i: 2, h: 5, t: 5, a: 2}.\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.9471 - -0.0529. Let r(i) = -149*i - 1. Let s be r(1). Let u = 1197\/8 + s. Put -4, k, u in decreasing order.\nAnswer: k, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180)*4)\/sqrt(10) + sqrt(18) - (sqrt(162) - -1*sqrt(162))\/sqrt(9))\/((sqrt(216) - ((sqrt(216) - -1*sqrt(216)) + sqrt(216) + sqrt(216)))*2*-5).\nAnswer: sqrt(3)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 476 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = 15344*y - 15386*y - 212, 5*n = -y + 5 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the second derivative of -v**8\/28 - 52*v**6\/3 + 7*v**4\/12 - v**2\/2 + 12*v - 3. Find the third derivative of w(k) wrt k.\nAnswer: -240*k**3 - 12480*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -2*r**2 + 223*r - 1476. Give n(7).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 - 6 - x**2 + 1 + 5. Let k(p) = 126*p**2. Let n(b) = -25*b**2. Let a(u) = 4*k(u) + 21*n(u). Give y(a(d)).\nAnswer: -882*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (534139\/(-586))\/((-3)\/162)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 + -8. Suppose 6 - 1 = m, -b*m + 19 = -2*a. Solve -5*t + a + 2 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10220200211000 (base 3) to base 13.\nAnswer: -57ac32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 152852, 305104, 457354, 609602, 761848, 914092?\nAnswer: 1066334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5529214 by 43.\nAnswer: -5529214\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-231)\/(-56) + (-6 - -2)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19307817 to the power of 1\/3, to the nearest integer?\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1520.49177 rounded to zero decimal places?\nAnswer: 1520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 469098 to the power of 1\/3, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence owro when four letters picked without replacement from rowofff.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34*z**2 + 43*z**2 - 8*z**2 + (0*z - 2*z + 0*z)*(2 - 2 - z))*(0 + 0 + 2*z).\nAnswer: 142*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -52\/5*w**4 + 4\/5*w**5 - 44\/5*w**2 + 0*w + 0 + 92\/5*w**3.\nAnswer: 4*w**2*(w - 11)*(w - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 14.92 and -198.293.\nAnswer: -2958.53156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -526 + 529. What is the nearest to 2\/9 in 0.5, 0.04, d, -2\/7?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*c - 3*c + 72. Let i be 381\/8 + (-7 - 1062\/(-144)). Calculate the greatest common divisor of c and i.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l - 3. Let c(m) = -m - 114. Determine c(j) - 2*t(j).\nAnswer: j - 108","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2 - 3409831*m + 112523334.\nAnswer: (m - 3409798)*(m - 33)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 7*d**3 + 4*d**2 + 2*d - 9. Let k(t) = -12*t**3 - 7*t**2 - 4*t + 19. Determine 3*k(g) + 5*n(g).\nAnswer: -g**3 - g**2 - 2*g + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w - 3*w + 3 + 3*w)*(2529 + 2*w - 1240 - 1535).\nAnswer: 2*w**2 - 240*w - 738","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 124 - 304. Let r = 20 - x. What is the greatest common divisor of 40 and r?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1892 + 1895. Let m(n) be the first derivative of 4\/5*n**5 + 0*n - n**4 + 4 + 2\/3*n**6 + 0*n**2 - 4\/3*n**g. Factor m(t).\nAnswer: 4*t**2*(t - 1)*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 = -11*s - 13, -2*j - 2*s = 12 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 99*r - 345. Determine b(10).\nAnswer: 645","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 + (-28 + 33 - 22)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 208\/24 + -10 - 22\/6. Let n(s) = -s**2 - 6*s - 6. What is n(x)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 3:48 AM?\nAnswer: 6:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14909006 + -14909017.999986. Let j = -39 + 27. Let d = c - j. Round d to five dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3731?\nAnswer: 7, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19589305 and 2285.\nAnswer: 2285","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 80\/11 - 1288\/165. Let w = r + 47\/60. Which is bigger: 2 or w?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9509 + 9577. Let s be 66\/(-4)*2*2. Let h = q + s. Solve 6*x - x + j + 25 = 0, 10 = -h*x - 2*j for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -19*z**3 - z - 2. Suppose -36*h - 24 = 14*h + 26. What is u(h)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 26442*d**2 - 9. Let l(x) = -2*x. Give l(a(s)).\nAnswer: -52884*s**2 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*-524.\nAnswer: 104.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98*v + 48*v + 49*v.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 20 divided by 785480\nAnswer: 1\/39274","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 446 is divided by 153?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - -124?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = 16, 6*j - 1208 = -3*w - 1217 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 + 121*d**2 - 33 + 19.\nAnswer: 121*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 5*b**3 - 19*b**2 + 9*b + 12. Let d(h) = -2*h**3 - 6 - h + 9*h**2 - 3*h + 3*h**3 - 3*h**3. Let j(f) = -7*d(f) - 3*v(f). Give j(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 630775\/3 or 210257?\nAnswer: 630775\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1131 + 1214341?\nAnswer: 1213210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 - 5*p**2 - 7*p + 6. Let t be a(6). Let y be 2 + t - (-140)\/(-68). Is y less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 3:35 PM?\nAnswer: 3:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 + 102048.\nAnswer: 102050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-12)\/36)\/((-3)\/9). Let t = -150 - -146. Sort g, t, 2, 9 in descending order.\nAnswer: 9, 2, g, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -44 + 5. Let b = l - -35. Put -27, -1, b in increasing order.\nAnswer: -27, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 36*r**2 + r + 1. Let q be t(-1). Suppose -q = v - 4*v. Suppose 0 = 2*c + 2*w + 4, 2*w + v = 2*c - 0*w. Solve 3*f - c - 10 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16671 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1342528364 divided by 4.\nAnswer: -335632091","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 663138947 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 3:49 AM?\nAnswer: 4:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*u**2 - 9*u**2 - 8*u**4)*(-26 - 4 + 4).\nAnswer: 208*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6075 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -196, -595, -1810, -4249, -8320, -14431, -22990, -34405?\n\"Answer: -68*r**3 + 77*r - 205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5105483 by 58.\nAnswer: 5105483\/58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 2369 = l + 5*m, 0 = -5*l - 3*m + 11851. List the prime factors of l.\nAnswer: 2, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44a80 (base 11) to base 10.\nAnswer: 65186","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*n + 2*h - 4, 4*h - 338 + 330 = -3*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 60 = -5*y + 54, 5*y - 3 = q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2024 and 61336.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q - t - 93, -5*q - 2*t - 171 + 54 = 0. Let n = q + 24. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n - 4*n - n + (-3 + 2 - 4)*(7*n - 3*n - n).\nAnswer: -22*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -8960, -18170, -27380, -36590, -45800, -55010?\n\"Answer: -9210*l + 250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52077.43 millilitres to litres.\nAnswer: 52.07743","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**2*s)\/((s*s*s\/(s**(2\/7)\/s)*s)\/s))\/(s**0)**(1\/34) assuming s is positive.\nAnswer: s**(-5\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -698*i - 216*i + 2351 + 15929 for i.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 34439976 a multiple of 1154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6 and 3552.98.\nAnswer: 21317.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, m: 3, u: 1}. Give prob of sequence sum.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 - -14943198\nAnswer: 14943198.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 295161 by 3.\nAnswer: 98387","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 2*b = 1993, -4*o - 51*b + 54*b = -2658. What is the greatest common factor of o and 195?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 38 = -2*x - 5*h, h = -4*x + 62. Let r be (-1 - 9)\/(2\/x). What is r rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 5, q: 1, i: 2, y: 1}. Give prob of sequence qyd.\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 - 10*g**2 + g - 5. Let h be (0 - 1)\/(1\/(-10)). Let m be t(h). Suppose -5*o = 2*v - 119, m*v - v + 2*o = 246. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1507 - -1395.8. What is u rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7671 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-1\/2)*d\/(d*d\/(d\/d**(-4)))*(d**(-1)\/d)**(-4\/13) assuming d is positive.\nAnswer: d**(107\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/158620 and 107\/135548?\nAnswer: 7455140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -3*u - 60, 0*a + 2*a - u = 68. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29*t + 20*t - 69*t)*(t - 2*t + 3 - 1).\nAnswer: 20*t**2 - 40*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 7:20 PM?\nAnswer: 10:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7188, -14371, -21554, -28737, -35920, -43103?\nAnswer: -50286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 + 2*c**2 - 4*c + 2. Calculate k(-4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 9 = 1. Suppose 2*p - 5*t + 0 = u, -3 = t. Which is the third smallest value? (a) p (b) 5 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 8507.874t?\nAnswer: 8507874000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -469.62, -2, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3245589471 + 26.\nAnswer: 3245589497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t**2 + 3*t**2 - 2*t**2)*(-5 + 2 + 2) + (2*t - t + 0*t)*(t - 2*t - t) + 6*t**2 + 16*t**2 + 0*t**2.\nAnswer: 19*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*s - 20*s + 9. Suppose -5*m - s*j + 1350 = 2*j, -3*m + 845 = -4*j. What are the prime factors of m?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*q = 26*q - 16023. Suppose 8*a = q - 311. What is the smallest common multiple of a and 180?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 170 and 28.\nAnswer: 2380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003012786987 rounded to four dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13*g**4*v + g**3*v - 501*v with respect to g.\nAnswer: -52*g**3*v + 3*g**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(1\/14)*d*d**(1\/32) assuming d is positive.\nAnswer: d**(247\/224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15532 is divided by 2632.\nAnswer: 2372","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/((12\/(-21))\/(23\/((-161)\/6))).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1341 - -1944. What is the remainder when i is divided by 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-18))\/((80\/(-36))\/5).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*1\/(4\/84). What is the remainder when 27 is divided by 300\/r - (-2)\/(-7)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.082 - -1.182. What is the biggest value in 4\/3, 6\/7, z?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24.1 - 24. Which is the nearest to i? (a) 5 (b) -5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 0.048, 2.9, 4, 1, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 381?\nAnswer: 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/7 + 111\/210. What is the closest to 0.1 in -13, x, -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2309 at least as big as 1727?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -986258*w**4 + 9*w**3 - 4*w - 1205749859 with respect to w.\nAnswer: -3945032*w**3 + 27*w**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-250)\/(-1)*(-1 - -181). Round w to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 122 - 120. What is the biggest value in -1\/4, k, 0.5, 0.7?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*n**3 - 334*n**2 - 16112*n - 173280 = 0. Calculate n.\nAnswer: -76, -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or -46.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3.390512 micrograms?\nAnswer: 0.003390512","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of 3*n**2\/2 - 6*n + 98. Let z = -5 - -11. List the prime factors of j(z).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 36 = -10*q. What is the remainder when 30 is divided by 86\/8 - 1\/q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*q + 0*q + 2*q + (-4*q + 3*q + 2*q)*(1 + 1 - 4))*(17 - 57 - 17) + 1 - 12*q - 18*q - 22*q as d*q + a and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -177406 + 0?\nAnswer: -177406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6 + 8 - (-14)\/(-4))*-6. Suppose 0*a - 5*h = a + 9, 2*a - 4*h = 38. Suppose b*z + 502 = a*z. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + -2 + 2 - (-29 - -27)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f. Suppose -4*h + 2*a = 6, 8*h + 15 = 6*h + 5*a. Let g(z) be the second derivative of 0*z**3 + 0*z**2 - z - 7\/6*z**4 + h. Give g(o(s)).\nAnswer: -14*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-9335707)\/(-143130))\/(-19) + 2\/6. Let y = s - 2\/4771. What is the common denominator of y and -9\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1237*m = -1241*m + s + 14391, 0 = -5*s + 5. Is m a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 + 54*r - 21. Is w(51) a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -332454 (base 9) in base 14?\nAnswer: -52581","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.021 + 4.179. Let v = s + -0.2. Let m = 0.1 - -0.1. Sort -1\/5, v, m in ascending order.\nAnswer: -1\/5, m, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 divided by 10610.\nAnswer: 3\/2122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -0.49, 4.5, 2?\nAnswer: -0.49","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3 and 96?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14422843 to the power of 1\/2, to the nearest integer?\nAnswer: 3798","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.324639264657 and 10.36.\nAnswer: 10.035360735343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 3:29 AM?\nAnswer: 4:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 169 + -164. Let p(t) = -79600*t**2. Let y be p(m). What is y rounded to the nearest 100000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - l - 2*l - 31, 0 = -d + l + 23. Let j = 15 - d. Let a(v) = -v**3 - 3*v**2 + 2*v + 2. What is the least common multiple of a(j) and 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/4 - (-6)\/4. Suppose -l - 4 = -0*p - 3*p, i*l + 8 = 0. Suppose o - 2*o + 2 = p. Does 2 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -5*v + 44. Calculate o(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/12*(-12)\/2. Suppose 2*z + m*o = 44506654, 2*z - 5*o = -2*o + 44506629. Suppose -j + 3353322 - z = 0. What is j rounded to the nearest 1000000?\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -275, -1, 3.4, 5, 52.1?\nAnswer: 52.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 5*t**2 + 8*t - 41. Calculate h(4).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11790366.\nAnswer: 2, 3, 7, 347, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-12)\/10)\/((-2)\/20). Let r be u\/16 - (-27)\/12. Let o(d) = -2*d**2 + 4*d - 1. Determine o(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2\/3, -10, 2\/3, 705 in decreasing order.\nAnswer: 705, 2\/3, 0, -2\/3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -5*x - 22 - 29, -2*x - 33 = -3*o. Let c(s) = -20*s**3 - 12*s + 12. Let a(f) = -8*f**3 - 5*f + 5. Calculate x*a(y) + 5*c(y).\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yayyccccycaacya. What is prob of picking 3 a?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p - 2. Let c(i) = 33*i - 12. What is -c(a) + 5*d(a)?\nAnswer: -28*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*t**2 - 3*t**3 - 9*t**2)*(0*t + 0*t + 2*t**2 + (0 + t + 0)*(-4 + 4 + t) + 2*t**2 + 2*t**2 - 6*t**2).\nAnswer: -3*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95 = -8*x + 13*x. Let d(p) = 2*p**3 - p**3 + 19*p**2 - 6*p**2 - x*p + 7. Is d(-12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -0*f + f. Suppose l = -f + 6. Suppose 1160 = -2*k + l*k. What is k rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 614072 (base 9) to base 4.\nAnswer: 1120310330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 3*k = -1315 - 1314 + 2622, 5*n - 3 = 5*n + k for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-87)\/(7047\/(-54)))\/((-28)\/18)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 3*y = 15, 0*i - 5*y = 2*i + 22. Let v = -423 + 421. Let c be (8\/(-6))\/i*(-6)\/v. Let a(s) = -s**3 + 3*s**2 - s - 2. Give a(c).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -100, -99, -96, -91, -84, -75, -64?\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/924 and -119\/66?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 327\/5 + -66. What is the closest to 1 in 2, c, -1\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*s - 91 = 10*s. Suppose 0 = s*u - 11*u - 874. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 5, q: 8}. What is prob of picking 1 q and 2 x?\nAnswer: 40\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 702?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3057*(1 - (-20)\/(-15)). Suppose 5*f = -124 + t. List the prime factors of f.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.54 - -3.54. Let s = 187 - 165. Sort s, 0.5, a in decreasing order.\nAnswer: s, a, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -36992*o + 22417154. Give a(606).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -4\/15 and -43\/5268.\nAnswer: 26340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 + 12*q**3 + 6 + 5*q**3 - 7*q**2.\nAnswer: 17*q**3 - 7*q**2 - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -11107385 divided by -5\nAnswer: 2221477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 3*v**3 - 14*v**2 + 16*v + 78. Is 3 a factor of l(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*b - 71*b - 15146 - 10504 = -272*b for b.\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 189813 is divided by 123?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6439, -8648, -10857, -13066, -15275?\nAnswer: -17484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2. Let i(d) = 715*d. Give i(s(q)).\nAnswer: -715*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2.2290281 and 9773298.\nAnswer: 9773300.2290281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 5, 0.3, 0.1, -3\/4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + (9 - 82 - -18) - (9 - (-2 + 0))?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1402 - 1315. Calculate the remainder when 96 is divided by x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 0*r = 2*r - 47874, j + 5*r - 23945 = 0. Let n = j - 15582. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5251 is divided by 655?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*b + 565 + 23954 = 0. What are the prime factors of b?\nAnswer: 3, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 + -12. Let h = 3 + q. Calculate the remainder when 29 is divided by -18*(-4 + 11\/h).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -3*j - q, 2*j + 2*q - 3 = 3*q. Suppose -j*n + 39 = -13. What are the prime factors of n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 122.96 - 123. Which is the second smallest value? (a) 1\/3 (b) -0.3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 192*q**3\/7 - 388*q**2\/7 + 200*q\/7 - 4\/7 = 0.\nAnswer: 1\/48, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 3 = -0*y. Suppose -y + 4 = l. Suppose -u + 32 = -l. Is 7 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hzqz when four letters picked without replacement from zhkkkhhqkkozhhoqkk?\nAnswer: 1\/3672","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 23 + 6 = 3*s, -z + 19 = 3*s. Let o = s - 2. Suppose o*c = -3*q + 15, -5*q = -0*q - 25. Solve -5*j + 0*j - 5 = c for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 10:01 AM?\nAnswer: 12:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 445 + -440. Solve 5*j + z - 3*z - 6 = 0, -x*z = -j - 8 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 212201010 (base 3) in base 6?\nAnswer: 212003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 518202.1ml?\nAnswer: 518.2021","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3569*c**3 - 452 - 3566*c**3 + 7136*c**3.\nAnswer: c**3 - 452","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i\/i**(-22))\/(i*i**(-23)))**(-11\/2))**(-2\/83) assuming i is positive.\nAnswer: i**(506\/83)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 356, 369, 392, 431, 492, 581, 704, 867?\n\"Answer: u**3 - u**2 + 9*u + 347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1262\/7 - -180. Sort 0.5, -2\/3, g, 3\/4 in descending order.\nAnswer: 3\/4, 0.5, g, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 53127 (base 10) to base 3\nAnswer: 2200212200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -7*c**2. Let s(l) = 6*l. Let v(a) = -4*a. Let i(j) = -5*s(j) - 8*v(j). Give i(y(t)).\nAnswer: -14*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 16817619, 33635239, 50452859, 67270479, 84088099?\n\"Answer: 16817620*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 798592 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(3 - 4 - 0\/(-1))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8411\/2 - -4205. Sort k, 1.54, 0.2, 0.4, 1\/8 in decreasing order.\nAnswer: 1.54, 0.4, 0.2, 1\/8, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-12 + 35)*107\/1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 18, 12, 6, 0, -6?\n\"Answer: -6*r + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 1 = w. Suppose -2*s - 2 = -x, -4*x + x + 4*s = -14. What is the greatest common divisor of x and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 18546467 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (14*125\/700)\/(5\/12). Let u(k) = 54*k - 13. Let y(g) = 27*g - 6. Let m(t) = 4*u(t) - 7*y(t). Is 14 a factor of m(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 56*d**2. Let b(i) be the second derivative of i**3\/6 - 15*i. Give b(o(t)).\nAnswer: 56*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 4397245435521*l**2 - 16775688*l + 16 = 0.\nAnswer: 4\/2096961","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -9*m**2 - 7*m + 4. Let z be a(2). Let p = 54 + z. Solve -h + 0*h - 2*o + p = 0, -2*h - o + 10 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5110?\nAnswer: 2, 5, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of -o**5\/60 + 7*o**4\/24 - o**3 + 10*o**2 - 3. Let s be (-36)\/(-5) + (-1)\/5. What is v(s)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 74\/2695 and -13\/2450.\nAnswer: 26950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 55*t. Suppose -9*q + 3*w + 17 = -4*q, 2*w + 8 = 0. Let k(r) = -17*r**2 - q + 1 + 11*r**2 + 2*r**2. Determine k(y(v)).\nAnswer: -12100*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 3*u**2 + 7*u - 41. Calculate q(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 98 + -687\/7. Let z = -27.191 - -27. Let u = z + -0.009. What is the nearest to 1\/3 in b, 2, u?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -63\/1308880 and -33\/16361000.\nAnswer: 32722000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-33)\/(-9) - 5\/(-15). Suppose r = -3*m + 33 + 47, 0 = d*r - 8. What are the prime factors of m?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15104 - 332375\/22. What is the common denominator of h and -7\/6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 + l. Let a(p) be the second derivative of p**3 + 5\/6*p**4 + 0 + p - p**2. Determine a(u) - 8*b(u).\nAnswer: 2*u**2 - 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -25 (base 9) to base 14\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -n**3 - 2*n + 256 - 461 + 236 - n**2 in the form f*n**2 + q + h*n**3 + l*n and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in three fifths of a microgram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*t - 3026 = -20186. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*t - 5*j, -t - 2*t - 11 = 5*j. Suppose t*i + 118 = 5*i. What is the remainder when i is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a litre in millilitres?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -2*r**3 - r**2 + 4*r + 3. Let f be c(-2). Suppose -3*i = -f - 2. Factor -4*n**2 + n**i - n**2 + 2*n + 2*n**2.\nAnswer: n*(n - 2)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -4*k**3 - 44*k**2 + 44*k - 30. Let w be v(-12). Put 3, 6, w in descending order.\nAnswer: w, 6, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -0*d + 17. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 694 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-96)\/18 + (-112)\/(-14)\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*w**2\/3 + 10*w\/3 + 8\/3 = 0. Calculate w.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**2 - 2*z + 2*z)*(8*z + 5*z - 143 + 138).\nAnswer: -13*z**3 + 5*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m + 6. Suppose 3*d - 7 - 2 = -3*x, -2*d = 3*x - 4. Suppose 2*f + 5*p + 3 = -1, 52 = -d*f - 2*p. Is 18 a factor of l(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert c8d (base 15) to base 2.\nAnswer: 101100010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/15 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in -1\/29, -0.1, 0.08, 66?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 412 (base 7) to base 10.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3667*k**5 + 10*k**4 - 14*k**3 - 134788079*k.\nAnswer: -73340*k**3 + 120*k**2 - 84*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/174 and -19\/18966.\nAnswer: 18966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 2*j**2 + 2*j - 9. Let l = -12 - -17. Let a(m) = m**2 + m - 4. Let s(u) = l*a(u) - 2*c(u). Factor s(f).\nAnswer: (f - 1)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 452154\/8 + 572\/(-2288)?\nAnswer: 56519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -115*v**2 - 125*v**2 - 87*v**2 + 244*v**2.\nAnswer: -83*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -3*u**4 - 7*u**3 + 3*u**2 + 3*u - 2. Let n(x) = 2*x**4 + 8*x**3 - 2*x**2 - 2*x + 3. Let c(r) = -3*a(r) - 2*n(r). Factor c(k).\nAnswer: 5*k*(k - 1)*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 20 = -0*q. Let j be (-6 - -4)*q\/(-4). Differentiate 2*b + j - b - 4*b + b with respect to b.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1547\/728)\/((2\/24)\/(22\/33))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 437 is divided by 113.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12 + 459*t**2 - 469*t**2 + 10 - 12 to the form n*t**2 + x*t + g and give n.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21 - -14. Let l = w + -34. Let t = 0.96 - l. What is the third biggest value in 1\/4, t, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is df - 574f?\nAnswer: -5670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0, -23 in increasing order.\nAnswer: -23, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1111200 (base 3) to base 12.\nAnswer: -776","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1448676.\nAnswer: 2, 3, 40241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 10 = -u, -6*u + 2*u = 5*d - 15. Suppose -u*r = -67 - 33. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30553*v**2 - 3 + 30459*v**2 - 7 - 1.\nAnswer: -94*v**2 - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -23.2, 0.1, 170\/3, 3\/4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -5*(2 - (-4 + 9)). Sort i, 1, -4.\nAnswer: -4, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/108 and -59\/864?\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.06 - 1.94. Let x = 108 - 107.8. Sort n, -0.3, x in descending order.\nAnswer: x, -0.3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 AM and 10:33 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -1 - 26399*q + 26398*q + 1. Let x(o) = -2*o - 268. Calculate x(b(h)).\nAnswer: 2*h - 268","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*(y*y*y*y**(7\/5)*y)\/y)**(-13\/4) assuming y is positive.\nAnswer: y**(-351\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 12:21 AM?\nAnswer: 5:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 2*k = -4 - 3, -3*u - 4*k - 1 = 0. Let y = 3 + u. Let w = 1270 + -1265. Which is the third biggest value? (a) w (b) 1\/4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71*y + 23*y + 133*y**2 + 22*y - 34*y**2 + 25*y.\nAnswer: 99*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by 24.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y + 9. What is the smallest common multiple of n(7) and 11?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-3)*(-12)\/22*(-176)\/72?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4503500 + -0.05.\nAnswer: 4503499.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/14)\/(-3*(-10)\/30). What is the biggest value in i, -1\/9, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*-2.2.\nAnswer: -0.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of -i**5\/5 - 839*i**4\/4 + 371*i**3\/3 - 2*i + 691. Find the third derivative of v(x) wrt x.\nAnswer: -24*x - 5034","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*m**2 + 11*m**2 + m**5 + (-2*m**3 + 0 + 0)*(11*m + 93 - 93)*(m - 4*m + 4*m).\nAnswer: -21*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1057301232?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 + (8\/4 - -2). Let r be 9 + -15 - 220\/(-35). What is the third biggest value in y, r, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 6 = 4*m, -m + 5519 = -5*w + 5531 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3670, 8311, 12796, 17047, 20986?\n\"Answer: -13*a**3 + 4732*a - 1049","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o - 3. Let j be c(-3). Suppose j = -3*f + f - 2*m + 4, 4*f - m - 8 = 0. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-332)\/6)\/(-5 + (-91)\/(-21)). Suppose -117 - g = -5*f. What is the remainder when 155 is divided by f?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1342659292 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u**(-5)\/u)\/(u**(-4)\/u))\/(((u**(-4\/7)*u)\/u)\/(u*u**(-2\/9)*u*u)))**(-2\/61))**(-3\/10) assuming u is positive.\nAnswer: u**(148\/6405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/69678 and -89\/69678.\nAnswer: 69678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 PM and 6:35 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -259 - -151230?\nAnswer: 150971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -3*m - 2. Give f(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -229*j**2 - 24494*j + 954. What is g(-107)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is ca - 12b?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i + 3. Let k be w(-3). Suppose k*g + 2*g - 4 = 0. Solve g*a = -a - 15 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1856 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -9, -5.496, 1\/5, 6 in descending order.\nAnswer: 6, 5, 1\/5, -5.496, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.35 + -422.35. Let u = t + 422. What is the second smallest value in -1, u, -6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1192 a factor of 140329833?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -937*v**4 - 3063*v**3 - 19027860*v?\nAnswer: -11244*v**2 - 18378*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8.63 + -0.17. Let q = g + -1.2. Let v = q + 7. Which is the nearest to 0? (a) -0.3 (b) v (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -9*b**3 - 449*b**2 - 389*b - 4. Calculate x(-49).\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 4 - 0. Let x = 4 - a. Sort x, 3, 5 in descending order.\nAnswer: 5, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8568 and 112.\nAnswer: 17136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -183 - 172 + 341 - 4*r.\nAnswer: -4*r - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*h - 18*h - 217 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.089072 - -0.0749414.\nAnswer: -0.0141306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 148811207?\nAnswer: 103, 827, 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 PM and 8:14 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2276 is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jguypyuxjpypu. Give prob of sequence jy.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 3*b + i, b - 5*i = -3*i + 7 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -162*i - 8550 = -252*i. Does 2 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4120 is divided by 133.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - i - 203 = 0, -77 + 9 = -2*v - 4*i. Let z(r) = -r + 12. Let m be z(5). Suppose 4*h = 3*a - m*a + v, 2*a = 5*h - 22. Is h a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.646611 take away 1384376.86?\nAnswer: -1384376.213389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 - g + 3. Let a be (1 + -1)\/(-3 + 2). Let r = 0 - a. What is the units digit of v(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19129 is divided by 9555?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k. Let d(x) = -x - 2. Let l(p) = -2*d(p) - 3*o(p). Let t(h) = h. Calculate t(l(v)).\nAnswer: -v + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -173 + 273. Is c a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = -v, -2*l - v + 3 = -4*v for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 1, 25, 2 in descending order.\nAnswer: 25, 2, 1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 13367.\nAnswer: 3\/13367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of -105*w**6\/2 + 136*w**5 + 115*w**4\/4 - 380*w**3\/3 - 50*w**2 - 802. What is f in b(f) = 0?\nAnswer: -5\/9, -2\/7, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -393, -380, -359, -330, -293, -248, -195?\nAnswer: -134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-172597062.\nAnswer: 51779118.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 389 is divided by 177?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of c**5\/20 - 2199*c**2. Let x(w) = 18*w + 5. Give m(x(j)).\nAnswer: 972*j**2 + 540*j + 75","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(40)*1*-2 - sqrt(40)) + 6*sqrt(40)*1 + sqrt(40)))\/(sqrt(968)*-3 - (sqrt(40)\/sqrt(5) - sqrt(8))*6).\nAnswer: 4*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -454*k**3 - 268*k + 3*k**2 + 268*k + 502*k**3.\nAnswer: 48*k**3 + 3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23555 (base 6) to base 7.\nAnswer: -13034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of 4*j - 2*j**2 - 7\/3*j**3 + 0 + 7\/10*j**5 + 1\/3*j**4. Solve b(n) = 0.\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 25.6 - 26.1. Let m = -9.2 - -10. Let i = -0.2 - m. What is the second biggest value in -5, i, c?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -333*t - 429.\nAnswer: -333","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*u + 70 = -68*u - 80 for u.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -4*u - 7. Let r be d(-7). Let t be ((-14)\/r)\/(2\/3). Is (58 - t)\/((-3)\/(-15)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 2*t - 6 = -16, 0 = f + 5*t + 13. Which is the nearest to 57? (a) -2.9 (b) f (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of w**6\/30 - 11*w**5\/15 + 35*w**4\/6 - 50*w**3\/3 - 2*w**2. Factor x(p).\nAnswer: 4*(p - 5)**2*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1364*l + 22154 = 1375*l. Calculate the greatest common factor of 848 and l.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51129155.\nAnswer: 5, 7, 11, 12073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -25 + 5 + (-3 - 21) + 10\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/7588 and -39\/17344.\nAnswer: 121408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = 2*o - 3, 3055524*g - 5*o - 8 = 3055527*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9341 - 159*t + 161*t + 2*t**2 + 0*t**2.\nAnswer: 2*t**2 + 2*t - 9341","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0056491622 rounded to five dps?\nAnswer: -0.00565","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 - 6*a - 29. Let k be z(13). Let x = k + -53. Let v(s) = 10*s**3 - s**2 + s - 1. What is the smallest common multiple of x and v(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of 3*t**3 + 0 - 20*t + 0*t**2 - 3\/4*t**4. Find the second derivative of c(j) wrt j.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -15 (b) 91 (c) 0.22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 5*j + 7, -4*f - j - 8 = 1. Let l be (-522)\/27 - f\/6. Let g = 8 - l. Does 13 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24 + 27. Let l(g) = g**2 + 6*g. Let c(k) = 2*k**2 + 7*k. Let x(o) = r*l(o) - 2*c(o). Determine x(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -63\/8 and -39\/3220.\nAnswer: 6440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10\/(-45)*-6*(-6)\/(-4). Let k(i) be the second derivative of 0 - 1\/70*i**5 + x*i - 1\/105*i**6 + 0*i**2 + 1\/21*i**3 + 1\/42*i**4. Factor k(l).\nAnswer: -2*l*(l - 1)*(l + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(-10) - (-20227)\/1790. Let y(k) = k**3 - 12*k**2 + 12*k + 4. What is y(t)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 122*t**2 - 43*t + 43. What is p(1)?\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14295518761 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/4)\/r)**(-43)\/(r**(-3)*r**(-2)) assuming r is positive.\nAnswer: r**(149\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/5 of a microgram in nanograms?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in -0.5, -3, 4\/4873, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of -2\/5*d**5 + 0 - 3\/4*d**4 - 1\/12*d**6 + 7*d - 3\/2*d**2 - 2\/3*d**3. Let c(y) be the first derivative of a(y). Solve c(q) = 0.\nAnswer: -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27\/(-9)*(-14)\/(-63)*-3)\/4.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 94e + 8?\nAnswer: 956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -3*j. Let y be p(2). Let q(z) = -z**2 - 8*z - 9. What is the remainder when 1*4*3 + -1 is divided by q(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -c - c. Let y be (-1 - 1392\/(-4))\/c. Let h = y - -73. Round h to the nearest 10.\nAnswer: -270","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-270)\/4*(-24)\/30. Suppose 0 = -6*a + 9*a - f. Suppose -a*o + 550 = -13*o. Is 14 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of 2*y**3 - 4 + 1\/2*y**2 + 1\/4*y**4 - 3*y. Give g(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14.6 + -5. Let v = 1.6 - l. Let z = v + 7.9999994. What is z rounded to six dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -349 + 352. Let c be 1 + (-6 - -12) - v. Solve -5*h - c = 1 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = -5*m - 4, -2*m - 471 = 5*j - 452 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 33704093 to the nearest integer?\nAnswer: 5806","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 2*a - 58, 4*z - 2*a + 24 = -68. Let t(p) = p**2 + 26*p + 35. Calculate the remainder when 49 is divided by t(z).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*2*(sqrt(2736) + -5*2*sqrt(2736)) - (-4 + -1*sqrt(2736) + 1 + 2))**2.\nAnswer: -1704*sqrt(19) + 13792177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10.1 or 34.8?\nAnswer: 10.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 times -0.166?\nAnswer: -5.976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - -11 - (-67 - -30).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/5 - 1\/1 - -3. Sort 1, h, -22 in descending order.\nAnswer: h, 1, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 32\/6*(-6)\/(-4). Let s(v) = 14*v**2 + 8*v - 8. Let o = -13 + 15. Let m(u) = u + 2 - 1 - 4 + o*u + 5*u**2. Determine f*m(n) - 3*s(n).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10937*t + 10937*t - 32*t**2.\nAnswer: -32*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 169334721?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from unuuuunn. What is prob of picking 3 u?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 16\/521 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2398293296?\nAnswer: 2, 7, 353, 60661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1088 times 1?\nAnswer: -1088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 - 5*k**2. What is a(3)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 452?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.04137 and 42171695.\nAnswer: 42171694.95863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 300\/72*684\/2565?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1967.1 to the nearest one hundred.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 37526?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 0.4, 2, -5 in increasing order.\nAnswer: -10, -5, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*i - 18*i - 63*i)*(-97 - 36 - 57)*(-2*i + i + 3*i) as a*i**2 + c + f*i and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-52)\/(-130))\/(6\/(-20))*84\/16?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -237 - -317. Suppose -17 = 21*o - v. Solve 0 = -o*d - d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*o**4 + 6*o**3*u - 62*o*u - 3*u wrt o.\nAnswer: 96*o**2 + 36*o*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of -w**7\/21 - 22*w**6\/15 - 54*w**5\/5 - 101*w**4\/3 - 163*w**3\/3 - 48*w**2 - 4*w - 15. Factor s(j).\nAnswer: -2*(j + 1)**3*(j + 3)*(j + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + x = -4*f + 141, -5*x = 5*f - 235. Let a be 2 - 1 - (10 - 65). Suppose -j + a = 6*j. What is the remainder when f is divided by j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2520 = -15*i + 9*i. Is 15 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15392 and 74000.\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-10)*(-1 + 2). Let o be -2 + (162\/112 - (-27)\/63). Let t = o + 3\/8. Which is the closest to n? (a) 0.2 (b) t (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lrrlll. Give prob of sequence rr.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/1631 and 31\/466.\nAnswer: 3262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 41.9656 - 42. Let f = 2.0344 + o. Let n be (-6)\/21 + 1\/28. What is the closest to 1\/3 in f, n, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, c: 1}. Give prob of picking 3 k.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -128*q**3 - 4*q**2 + 9. Let k be g(2). Let w = -618 - k. List the prime factors of w.\nAnswer: 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kxbxkxkkk. Give prob of sequence xkb.\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2*j**3 + 28*j**2 - 10*j + 6. Let m be x(14). Let g = 221 + m. List the prime factors of g.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yxsfizi. Give prob of picking 1 i and 1 f.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 0*p + 4*p - 4*p - p. Let i(n) = 2*n**2 - 4*n - 4. Let b(j) = 2*j**2 - 3*j - 3. Let v(g) = -4*b(g) + 3*i(g). Give l(v(r)).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 PM and 1:23 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.6 - -1.1. Let p = m + -0.5035. Round p to three dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -102*((-5)\/2 + 2). Let d(g) = 30*g**2 + 6*g + 3. Let m be d(-3). What is the greatest common divisor of m and o?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 212 a factor of 32705876?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(325) + -1 + sqrt(325) - sqrt(325)))**2 + 1 + sqrt(468)*-1.\nAnswer: -46*sqrt(13) + 1305","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express r + 6*r**3 - r + (0*r + 0*r - r**2)*(13 - 6 - 34)*(-r - r + 3*r) in the form k*r + m*r**2 + o + h*r**3 and give h.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/2)\/(2\/4*2). Let q = -0.8 + 2. Let f = 5.2 - q. What is the nearest to m in f, -2, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 32.76 + -33. Let l = 1.76 - y. Put l, 6, -1 in ascending order.\nAnswer: -1, l, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of q**7\/420 + q**6\/72 + q**5\/30 + q**4\/12 - 2*q**2. Let k(d) be the second derivative of a(d). Suppose k(b) = 0. What is b?\nAnswer: -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 17*u + 351 = 96, f - 5*u + 36 = 0 for f.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 31344413 (base 6) to base 7\nAnswer: 10533351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7260 and 5144018?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 14 (b) 0.4 (c) 25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 h, and 2 j when four letters picked without replacement from rrunjrjjrhj.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-440*j**2 + 173*j**2 - 121*j**2)*(5 + 3*j**2 - 5).\nAnswer: -1164*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0324327176 to six dps.\nAnswer: -0.032433","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -325*b**4 + 30*b**5 + 325*b**4 + (2*b**4 + 3*b**4 - 4*b**4)*(3*b + b - 3*b) - 3 - b**5 + 3.\nAnswer: 30*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.4 - 0. Let q = l + -3.4. Which is the biggest value? (a) -0.5 (b) q (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 3*m + 120. Let z be u(-21). What is z rounded to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 2*m + 13 = -16, 3*h + 3*m = 105. Let w(o) be the first derivative of -3*o**2 - 3*o + 1. What is the remainder when h is divided by w(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/66 - 1106\/(-1386)?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (72\/(-10) - -7) + 135\/425.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.25 in -0.2, 2, 0.5, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3596 and -5.8.\nAnswer: 20856.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 15 + -1 - (-2 + 4). Let m = -25 + 43. Suppose i = -4*a + 72, -i + m = a - 3*i. Calculate the greatest common factor of w and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 57*v + 130*v**2 + 72*v**2 - 21*v - 36*v to the form k*v**2 + m + t*v and give k.\nAnswer: 202","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (1 + sqrt(11))*5 - (sqrt(176)*-1 + sqrt(44) + sqrt(44))\/sqrt(4).\nAnswer: 7 + 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(45)*2*2 - sqrt(45)) + sqrt(45))\/(sqrt(9) + (sqrt(108)*3)\/sqrt(12)) + 2)*6 + 2)**2.\nAnswer: 168*sqrt(5) + 376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 27 + 24?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13.8 + -13.80145. What is z rounded to 4 decimal places?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34811917.\nAnswer: 7, 4973131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 4 = 3*h. Let p = 0 + h. Let k(i) = 33*i - 213. Let b be k(7). Calculate the greatest common divisor of p and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 106367 or 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3\/4 - l**2\/2 - 3*l\/4.\nAnswer: l*(l - 3)*(l + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -0*q - 4*c + 34, 0 = -2*q + 3*c + 34. Solve q = 5*r - 6 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -49115 divided by 11\nAnswer: -4465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 + 18 = 2*d. Suppose 0 = -2*h - 0*h + 2. Put d, 3, h in decreasing order.\nAnswer: 3, h, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 157\/60 and -181\/82560?\nAnswer: 82560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07125 plus 0.103?\nAnswer: 0.17425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2599, 2621, 2645, 2671?\nAnswer: 2699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 229248 and 486.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 12, j: 6}. Give prob of sequence jbbj.\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 11053, 22119, 33185, 44251, 55317, 66383?\n\"Answer: 11066*i - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/8 + (-2)\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -28, -4, 4, 60 in decreasing order.\nAnswer: 60, 4, -4, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3663*q + 370*q - 1002*q + 2814*q.\nAnswer: 5845*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 + 10*r**2 - 6*r - 4. Let v be n(-10). Suppose -4*a + 124 = 4*p, -5*a + a = p - 19. Let l = p - v. What is the common denominator of l and -41\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 100*m + 766. What is z(-8)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 239*c**3 + 5*c**2 - 5. Let z be h(3). Suppose -5*o + j - 424 = -z, -o + 1193 = 5*j. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1142)\/3 - (-2)\/(-6). Let c = j + 708. Suppose -5*k = f - c, 0 = -2*k + 5*f + 137 - 17. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 98408634\nAnswer: -1\/32802878","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 + 7. Let b = 16.6 - r. What is the third biggest value in 3, b, -1\/4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.077 take away 1076?\nAnswer: -1075.923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 12177.7 to the nearest 100.\nAnswer: 12200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 5 = 0, -2*c + 262 = -2*z - 220. Suppose -c*b = -230*b. Let v be (-130)\/198 + (-4)\/(-6). Is b smaller than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*t - 4*g - 12 = 70*t, -t - 15 = 5*g for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-72)\/12 - (0 + -3). Let v be 2\/(6\/15) + (f - -2). Solve -y - 3 = -v for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1011 - -1014. Let s = -178 - -186. Solve s*l - m = 5*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-25 + (4 - -1) - (296 - 215))?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2423 (base 6) to base 13.\nAnswer: -366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -785295387.0000995 + 785294926. Let n = -461 - m. What is n rounded to five decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/2)\/((-3)\/(-9))*(-94500)\/20250?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4057752 rounded to the nearest 10000?\nAnswer: -4060000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 2*y = -10, 11*y = 2*b + 9*y - 10. What is the third derivative of 25*f**2 + 8 - 2*f**5 - 20*f**2 - 2*f**6 + 0*f**b wrt f?\nAnswer: -240*f**3 - 120*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 + 2301142499.\nAnswer: 2301142496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 38704 and 16048?\nAnswer: 944","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + -2. Let j = 0.3 + b. Let h = 1 - 0.8. What is the nearest to h in j, -3\/4, -4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in -2, -52, -14, 3\/7?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1888605683 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.08 + -0.18. Which is smaller: x or 1.1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 3 + 4)*(1 - 1 + p)*(0 - 3 + 1) + 0*p - p + 3*p in the form n*p + d and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*d + 7*d - 18. Let z be -1 + (6\/d*3 - -23). Suppose -2*s = z - 32. Calculate the greatest common factor of s and 138.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1267 - -1269. Let j(d) be the second derivative of 0 + d + 2\/3*d**3 + 2*d**n. What is the first derivative of j(q) wrt q?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + -1. Let f = 1.7 + -1.3. Let o = f - 5.4. What is the second smallest value in m, o, 4\/3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 34*f + 82. Let k(q) = -q + 34. What is the least common multiple of z(-2) and k(14)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2102182 is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 3. Suppose 4*j - 56 - 48 = o. List the prime factors of j.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-2\/23))\/(h\/(h*h\/(h**(-1)\/h))*h*h)*(h**(-1))**(-18\/7))\/(((h**(-2\/7)\/h)\/h)**(-5\/9)*h**(-2\/7)*(h*h**3)\/h) assuming h is positive.\nAnswer: h**(725\/1449)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3\/(-6))\/(2\/(-4)). Let c be (-10*s)\/(-2) + 2\/(-2). Suppose 6*l = c*l + 998. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 1 - (-25 - -35)) + 2?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 + 16*o**2 - 12*o - 34. What are the prime factors of s(-13)?\nAnswer: 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.03 (b) -3.4 (c) 5 (d) -4488\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.05 - 0.05. Let n = -266 - -263. Which is the fourth biggest value? (a) r (b) 0.2 (c) -4\/3 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180*r + 337131 = -26*r - 13*r. Is r a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 952355366126 + 91?\nAnswer: 952355366217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -84*l**2 + 671*l + 121. Give j(10).\nAnswer: -1569","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 466*b + 265 = -2531 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 3*a + 39 = 0. Let h be a\/(-6) + (-2)\/4. Suppose -2*s + 0*s + 36 = 0. Calculate the greatest common factor of s and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2016, 4040, 6066, 8094?\nAnswer: 10124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 185*u**2*v**2 + 591582*u**2*v + 29*u**2 + 8501*v**4 + 35*v**2 + v wrt v.\nAnswer: 370*u**2 + 102012*v**2 + 70","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17440?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 3*c - 2558, -z - 7*c + 526 = -4*c. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22.7 - 8224.0871\nAnswer: -8246.7871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 67*u + 7. What is l(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/373655 and 59\/1895.\nAnswer: 141615245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -2. Let y(l) = -2*l + 1. Let j be y(v). Suppose 2*p - 39 = j*a - 5, -4*a - 9 = p. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1180 - 749. Let x = z - 430.99754. Round x to three dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, -7871, -5 in decreasing order.\nAnswer: -2\/11, -5, -7871","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.0485, 3, 0.28?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 674 + -675. What is the closest to 0.1 in -1\/10, d, 3?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*b**2*y**3 - 272*b**2*y - 2*b**2 - 615*b*y**4 wrt y?\nAnswer: 12*b**2*y - 7380*b*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*d - 10 = -172 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1352 - -1353. What is the nearest to x in 5, -0.2, -4, 44\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 902.9887 grams?\nAnswer: 902988700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 2.8. Let a = 19 + -19.62. Let j = a - -0.72. Which is smaller: n or j?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69814 = -123*h + 121*h. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45)\/sqrt(144)*-5)**2.\nAnswer: 125\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 94350585 and 3590?\nAnswer: 1795","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2221, 0, -1101.1, -1\/5, -4 in decreasing order.\nAnswer: 0, -1\/5, -4, -1101.1, -2221","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2 + 9*o + 8. Let i be g(-7). Let j = i + 39. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*h = -11*h - 90. Solve r = 4*w + 10 - h, 5*w = 20 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + d + 158 = 4*m, -2*m = 2*d + 56. Let x = -26 - d. Let q be 2\/3 - 2\/3. Sort -1, q, x in ascending order.\nAnswer: -1, q, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 - 3. Suppose -3*w + 6*w + h*f = -1, w - 25 = 5*f. What is the third derivative of -7*i**5 + 0*i**w + 28*i**2 + 7*i**5 - 9*i**6 wrt i?\nAnswer: -1080*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8397 - 8397.5. Which is the biggest value? (a) 5 (b) 2 (c) 1 (d) v (e) -4\/31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 359 = -4*y - 328, 8*a - 8 = 4*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 288821 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4199262 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 PM and 7:09 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a + a - a)*(1 + 11*a - 3 - a).\nAnswer: -20*a**2 + 4*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 13*u**3\/5 - 5346*u**2 - 237307*u\/5 - 69384 = 0.\nAnswer: -7, -24\/13, 2065","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19602 is divided by 112.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 8452, 16906, 25360, 33814?\n\"Answer: 8454*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.007 - 23.993. Let x = 23.98 + j. Let g = 1.78 - 1.78. Which is the second biggest value? (a) x (b) -5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 4*y = 27, 3*j - 2 = -4*y - 5. Let k be -1 + j - (0 + 0). Suppose 3738 = k*m - 1062. Round m to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 6*u + 24. Let d be h(-4). Suppose 5*z - 559 - 156 = d. Is z a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3859511*h**2*t - 289103*h**2 + 31*h with respect to t.\nAnswer: -3859511*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-280807)\/(-21735) + -13 + (-8)\/(-84)?\nAnswer: 2\/135","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 199552 and 128?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.37 (b) 6\/581 (c) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 18*d**2 + 647*d - 731. Give y(-37).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3338*b - 277*b + 591*b + 4003*b + 3062*b + 4494*b)*(-1 - 2 + 1).\nAnswer: -30422*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 56438051 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3\/3)\/(27\/243). Let r(u) = -2*u**2 + 9*u - 9. Let c(i) = -i**2 + 4*i - 4. Give y*c(q) - 4*r(q).\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 4 = l, -2*l - 2 = y. Let n be (((-12)\/(-16))\/((-9)\/(-24)))\/1. Let s(z) = -z**3 + 5*z**2 + 7*z - 6. Let i be s(6). Solve y*f - n = -i*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 p when three letters picked without replacement from psppppppppppp?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20 and 620?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1\/53281 - -426255\/372967. Factor -o*a**2 + 0*a + 0 - 4\/7*a**4 - 12\/7*a**3.\nAnswer: -4*a**2*(a + 1)*(a + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 PM and 4:38 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 18 = -3*g, 2*s + 2*g + 1398 = 1406 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9880 - -1887079\/191. Which is bigger: -0.25 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 4 - -2) + 2 + 5 + 3?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -4*j**2. Let r(i) be the first derivative of -i**4\/12 + i - 2. Let d(f) be the first derivative of r(f). Calculate d(m(v)).\nAnswer: -16*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-38)\/(-18) + -1 + (-732114)\/592272?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmm when three letters picked without replacement from eeeeyemeeemmmmeememe?\nAnswer: 7\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 + 11 - 3)*((-3 + 3 - 4*g)*((-1 + 1 - 2)*(-4 + 6 - 1) + 2 + 0 - 4) + 2*g + 3 - 3 + (-2*g + 3 - 3)*(5 - 3 - 3)).\nAnswer: -140*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 5*m = -5 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 63\/10406 and -57\/1892.\nAnswer: 20812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 306*x**3 - 12*x**2 + 26*x. What is the tens digit of u(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 1802 - 5*i**3 - 7*i + 934*i**2 - 945*i**2 - 1813. Let p(n) = 3*n**3 + 6*n**2 + 4*n + 6. Suppose 0*c = -3*c + 33. Give c*p(k) + 6*l(k).\nAnswer: 3*k**3 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 90507424?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + h + 12 = x, -3*x = -5*h - 22. Let u(k) be the second derivative of k**4\/12 + k**3\/3 - 6*k. Let y be u(h). Is -2\/11 < y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 24731 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/1900 and 910\/168 + 10\/5*-3.\nAnswer: 5700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -494592*q**2. Let z(t) = -3*t. Give o(z(j)).\nAnswer: -4451328*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + (-1 - -2) + -2 + 21 + -14?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.2364 and -45.418?\nAnswer: 45.1816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x = 7*x - 10. Let g(q) = q**2 - 10*q + 4. Let u be g(x). Suppose -5*z + 5*i + 337 + 168 = 0, -3*i = -u*z + 404. What are the prime factors of z?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 4*o**2. Let h(q) = q**2 + q - 1. Let t(c) = -4*c**2 - 5*c + 5. Let d(l) = -5*h(l) - t(l). Give u(d(b)).\nAnswer: 4*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6.66 - 51.14. Let h = -58 - t. Is 112 at most h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001000 + -110011?\nAnswer: 10101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (9\/12)\/(95\/(-20) + 5). Suppose -w = d*w - 144. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/(w**(1\/4)\/w*w)*w\/((w*w**(1\/10)*w*w)\/w) assuming w is positive.\nAnswer: w**(-7\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 - 11*p**2 + 17*p - 17. List the prime factors of f(-13).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u = -u - 480. What are the prime factors of u?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 + 5*o - 7. Let w = -20 + 26. What is the units digit of d(w)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/43047 and -71\/9?\nAnswer: 43047","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -3 - 5 - f + 2 + 2*f. Let i(a) = 5*a + 29. Let c(r) = -r - 7. Let l(u) = 9*c(u) + 2*i(u). Suppose -3*d - d + 20 = 0. What is d*l(m) - 4*w(m)?\nAnswer: m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -5 (b) -4 (c) -50 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -157 (base 11) to base 3.\nAnswer: -20210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + 5. Let q be (-5 + h)*1 - -3. Sort -1, q, -0.1 in descending order.\nAnswer: -0.1, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 467331?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the third derivative of -o**4\/12 + o**3\/6 - 6*o**2. What is x(1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -4*v**3 + 5*v**2 + 10*v - 13. Let m(k) = 11*k**3 - 14*k**2 - 28*k + 40. Give -17*c(s) - 6*m(s).\nAnswer: 2*s**3 - s**2 - 2*s - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -16*i**2 - 14*i + 498. Let t(v) = -38*v**2 - 34*v + 1246. What is -12*j(h) + 5*t(h)?\nAnswer: 2*h**2 - 2*h + 254","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 993627 = -3*b, 28 = 5*b + 23. Let o(j) = -6*j**2 - 3*j**2 - 331208 + 3*j**2 + k. Let g(p) = -5*p. Determine g(o(l)).\nAnswer: 30*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -216 - 1 = 29*d + 218 for d.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4007*j - 3969*j + 304 = 0 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 11*c - 3. Let w = 3 + -1. Is l(w) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2887?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 7, g: 3, q: 3, z: 2, p: 2, i: 1}. Give prob of sequence gp.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u - 81 = -354. Let r = u + -34. Solve -r + 1 = -2*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a**(-1)\/a)*a)**(44\/5))**(-41) assuming a is positive.\nAnswer: a**(-7216\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -4263*j**3 + 36 - 2*j**4 + 4264*j**3 + 2*j**2 + 6 as v*j**4 + i*j**2 + d*j**3 + f + c*j and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -6 times 0.27\nAnswer: -1.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p - 3. Let l be c(1). What is the remainder when 23 is divided by (l - 22\/2)\/(0 + -1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9115 - 9105. What is the smallest common multiple of 1875 and d?\nAnswer: 3750","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 - 5*l + 9*l - 2*l**3 + l.\nAnswer: -2*l**3 + 5*l - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 283\/(-15) + 1 - (-21)\/(3780\/(-24)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-329)\/(-49) + (-5)\/((-25)\/20). Which is greater: 12 or n?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3943 + -2005. Does 16 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -6*t + 2*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - 2*x**2 + 2 + (1 - 1 + x)*(9*x + 9*x - 13*x).\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -1165*l + 13857. Calculate t(12).\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 37 - 2d?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*w + 14194 = 255*w + 789*w - 55950 for w.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = 2*z + 3*z. Let m = z - -15. Suppose -8 = m*u - 36. Calculate the highest common divisor of u and 154.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of 4*h**3 - h**2 + 32*h + 21. Let g(z) be the first derivative of k(z). What are the prime factors of g(2)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34147?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, o: 7}. Give prob of sequence dd.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*f**4 + 619697*f**3 - 32905666*f**2.\nAnswer: -48*f + 3718182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 3)*(-15*y - 51 + 51)*(2*y**3 + 3*y**2 - 3*y**2) + 93*y**4 + 27*y**4 - 32*y**4.\nAnswer: 118*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 4. Let r(x) = -14*x**3 - 118*x**2 + 16. Let z(v) = 12*k(v) - 3*r(v). Find the third derivative of z(l) wrt l.\nAnswer: 252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -25\/2 - -79\/6. What is the nearest to 1\/3 in c, -0.1, -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*w**5 + 12 - 12 + (w**3 - 3*w + 3*w)*(w**2 + 3*w**2 - 3*w**2) + (0 + w + 0)*(0*w**4 + 2*w**4 - 6*w**4).\nAnswer: 3*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 35 = -25. Suppose -3*i + 516 = 4*k, -u*k + 276 = -0*i - 3*i. List the prime factors of k.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 608 = -3*a. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -264 (b) -10\/21239 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -7 + 3 - k - 19. Determine z(0).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 43 + (-28 + -3 + 10 + 8 - (-27 + 4)).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6 and 4272.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2 - 8*i**2 - 4*i**2 + 7*i**2.\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11 + 9 + 7319*a**2 - 5555*a**2 to l + w*a + i*a**2 and give i.\nAnswer: 1764","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*j**2 + 3*j**2 + 0*j**2)*(-280 + 21 - 224) - j**2 - j + j + (3 - 1 + 0)*(2 + 2*j**2 - 2) - 3*j + j**2 + 3*j to v*j**2 + o*j + i and give v.\nAnswer: -1445","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 5*y = 0, 10*g - 13*g - y + 10 = 0. Put 1, 564, g in increasing order.\nAnswer: 1, g, 564","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 PM and 10:02 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 - 6)*((2*b - 3*b - b)*(-1 + 1 + 2) + 6*b - 7 + 7)*(-5 + 4 - 3).\nAnswer: 16*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 361225770 divided by -4\nAnswer: -180612885\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, u: 2, p: 4, s: 4}. Give prob of sequence uu.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3 - 43414105*q**2 + 86828207*q - 43414103.\nAnswer: (q - 43414103)*(q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -77*i + 140*i + i**2 - 83*i - 75. Let s be g(23). Let r(a) = 3*a - a - 3*a - 9. Determine r(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -27335*k**2 - 18711*k + 1386. Let h(d) = -79*d**2 - 54*d + 4. Let n(t) = 693*h(t) - 2*j(t). Let y(a) = 13*a**2 - 3. Determine n(y(o)).\nAnswer: -13013*o**4 + 6006*o**2 - 693","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10\/(-6)*(-12)\/10. Suppose 6 = -3*p + 5*p + 4*r, l*r = 0. Let v(f) = -f**3 + 3*f**2 - 3*f + 3. Determine v(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -168*x**2\/5 - 12718*x\/5 - 454\/5.\nAnswer: -2*(3*x + 227)*(28*x + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2537, 2545, 2551, 2549, 2533, 2497, 2435?\n\"Answer: -t**3 + 5*t**2 + 2533","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -2, 0.04, -0.35?\nAnswer: -0.35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((c\/(c\/(c*c**(10\/9))))\/c)\/c)\/c)\/(c**22*c)*((c\/(c\/(c**(-1\/12)\/c)))\/c)\/c**1)**11 assuming c is positive.\nAnswer: c**(-10681\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 144, 259, 378, 501, 628?\n\"Answer: 2*x**2 + 109*x + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 - -16. Suppose -q*g = -43 - 5. What is the remainder when 31 is divided by g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-6)\/4)\/(6\/(-8)). Let r(p) = -4*p. Let x be r(-1). Let a = x - f. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -58740 (base 11) in base 13?\nAnswer: -2c75a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z**(-5)*z*z))\/(z\/z**(-6)) assuming z is positive.\nAnswer: z**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*h**5 + 106*h**4 + 30*h**3 + 63454*h**2 wrt h?\nAnswer: -120*h**2 + 2544*h + 180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5223224299?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 175026711?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 + 4*c**2 + c - 3. Let u be t(4). Suppose w + 5*a - 16 = 0, w - 15 - u = 4*a. Let d = w + 3. List the prime factors of d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 12, -22, -52, -72, -76, -58?\n\"Answer: p**3 - 4*p**2 - 29*p + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 + -18. Let g be -4 - (3 + -3 + l). Suppose 0 = -3*h - 3, 0*o + 80 = 2*o + g*h. Is 21 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -19*t**3 - 3*t**2 + 21*t - 9. Let y(u) = 5*u**3 + u**2 - 5*u + 2. Determine 2*x(z) + 9*y(z).\nAnswer: 7*z**3 + 3*z**2 - 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 + 79\/6. Which is the third biggest value? (a) -2 (b) t (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of p**6\/360 - 7*p**5\/120 + 7*p**4\/24 - 2*p**3\/3 + 9*p**2\/2 + 2*p + 1. Let n(q) be the second derivative of d(q). Give n(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 195470 = -15*o. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 + 133*x**2 + 3258*x + 2595. What is h(-101)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -582*h + 2600*h - 646 - 414 - 8580*h - 5722*h wrt h?\nAnswer: -12284","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54720 is divided by 2300.\nAnswer: 1820","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -98 + 168. Is 10 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 2 + 4)*(-1 - 3 + 6)*(5 - 1 + 22)*((4*u**2 + 0*u**2 - 5*u**2)*(4 - 5 + 0) + 3*u + 2*u**2 - 3*u) in the form w*u + q + f*u**2 and give f.\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of -5*g**6\/6 + 145*g**5 - 9900*g**4 + 324000*g**3 - 4665600*g**2 + 8398080*g - 319. What is b in q(b) = 0?\nAnswer: 1, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of 31*g**5\/120 - 5*g**4\/8 + g**3\/3 + 23*g**2. Let w(n) be the first derivative of z(n). Differentiate w(v) wrt v.\nAnswer: 31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (38\/817)\/((-3614)\/(-1118))\nAnswer: 2\/139","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -286812 divided by -4?\nAnswer: 71703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11.333 + 14.7358. What is i rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*w + w - 1 + 4*w + (-330*w - 297*w + 559*w)*(-4 + 4 + 7) to c*w + l and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 670 and 58138915.\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2 - 1033013*m - 6198114.\nAnswer: (m - 1033019)*(m + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - o = k + 7, 3*k + 5*o - 11 = 0. Let j be 12\/(-5 + k) - 560\/(-115). Are j and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -1.85. Let f = -0.05 + v. What is the nearest to f in -2, -0.2, -3\/2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 28 - 20. Let c = -3 + l. Solve -3*i - 30 = c*g, -i - 21 = 2*i + 2*g for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*v + 3*v = 80. Solve 0 = -2*l + 3*d - 1, -l = v*d + 20 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1416648?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -649 - 927. Suppose -5*q + j + 341 = 0. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v**2 - v**2 - v**2)*(-v**2 + v**2 - v**2) + 1685 - 54*v**4 - 1685.\nAnswer: -56*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18 + -9. Let l = c + -4. Sort 3\/5, l, 0.\nAnswer: 0, 3\/5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 91, 4, 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1509.620146 rounded to the nearest ten?\nAnswer: -1510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (120\/(-55))\/((-70)\/385).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 + (-20)\/(-15)*-6. Sort p, 1\/3, -2, 0.\nAnswer: p, -2, 0, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 AM and 11:18 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1426?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 2 = -22. Let g = x + -3. Solve 3*v = 5*u + 31, u + 0*v + 3*v - g = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, 42, 85, 128, 171?\nAnswer: 214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 184 divide 852104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 7*f + 1. Let v = 110 - 98. Calculate the remainder when 517\/6 - v\/72 is divided by d(3).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14022.4608s in days?\nAnswer: 0.162297","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-559)\/301)\/((-50)\/175)\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 5 - 2 + 2 + 2 + 1 + (3 + 2 - 2)*(0 + 2 - 3))*(23*s + 4 - 4) as l + z*s and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**3 + 192*h**2 - 2964*h.\nAnswer: -3*h*(h - 38)*(h - 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 475*t - 6059. Calculate the remainder when 1773 is divided by x(14).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*z - 4*z + 3*z)*(4*z - 2*z - z) + (-z**2 + 5 - 5)*(-4 + 4 - 2) - 5*z**2 + 0*z**2 + z**2 to the form n + s*z + g*z**2 and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 7*a**5 - 338*a**4 - 17789*a**3 + 62776*a**2 + 58732*a - 21488 = 0?\nAnswer: -34, -1, 2\/7, 4, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7321042?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -88, -129, -206, -325, -492, -713, -994?\nAnswer: -1341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 72, 0, 45 in ascending order.\nAnswer: 0, 45, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 + 17 + 8)*(3*t**2 + 0*t**2 - 2*t**2).\nAnswer: 11*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*q**2\/11 - 64*q\/11 + 62\/11 = 0. Calculate q.\nAnswer: 1, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 4 + 2)*(0*o - 3*o + 5*o) + 6 + o - 5 - 2*o as u + g*o and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1614641 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5384028, 10768053, 16152078, 21536103, 26920128, 32304153?\nAnswer: 37688178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - d**3 - 3*d**2 - 788*d + 336*d + 385*d - d**4 to b*d**3 + a*d**2 + s*d + z*d**4 + t and give s.\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 2*q = f + 4, -6 = -2*q + 5*f for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 271938895?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-12))\/((-2)\/(-56)*-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10464815107 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(10) + (sqrt(10) - sqrt(10)*-2))\/sqrt(5))**2 + 0.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*f - 3*f - f)*(16115*f**3 - 7441*f**3 - 8070*f**3).\nAnswer: 1208*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.003, 3, 5, -10\/21.\nAnswer: -10\/21, -0.003, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 52059792 divided by 6\nAnswer: 8676632","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 9*c - 40. Let h be a(12). Suppose h - 189 = -y. Is 11 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12211112211 - -100211012?\nAnswer: 20012101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 5501*f**2 - 2726*f**2 - 2771*f**2. Let z(l) = -192*l. Calculate x(z(c)).\nAnswer: 147456*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/((-40)\/(-5))*6\/1*(-2305)\/8298.\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i**(-3\/2)\/i))\/(i*i\/(i**(-2\/7)*i)*i)*(i\/i**(-2))**(2\/3))**6)**27 assuming i is positive.\nAnswer: i**(3645\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 2*z + 3*i, 0*z + z = 3*i - 2. Let k(w) be the first derivative of 2*w**2 - 3*w - 3703. Give k(z).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*77\/(43197\/198)?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 - 13.119. Let q = -0.11817 - n. What is q rounded to four decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.48, -0.21, -4.78 in ascending order.\nAnswer: -4.78, -0.21, 0.48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5691*g**2*x**2 + 5*g*x**2 - 2*x**2 - 44*x + 2 wrt g.\nAnswer: 11382*g*x**2 + 5*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 9*z + 7. Let n(d) = 4477*d + 552. Let w(g) = -3*j(g) - n(g). Differentiate w(f) wrt f.\nAnswer: -4504","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7\/4 + 3. Sort -0.1, g, 3 in decreasing order.\nAnswer: 3, g, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/584 and 3\/8.\nAnswer: 584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 10:39 AM?\nAnswer: 7:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -14*l + 22 + 19*l - 3*l. Calculate the remainder when v(0) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7472 and 32.\nAnswer: 14944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j**2 - j**2 + j**2)*(-4 + 4 - j) + 7*j**3 - 1592*j + 1592*j + (3*j - j - j)*(2*j**2 - j**2 + j**2).\nAnswer: 12*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 356\/5 - 71. Which is the closest to 1? (a) 0 (b) -4 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2 + 42*y + 92.\nAnswer: -2*(y - 23)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5232 + 5233. What is the second smallest value in -176, 0.05, h, 0, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 58 = 2*q + 2*t, -t = q - 34. List the prime factors of q.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.9002 - 1907?\nAnswer: -1911.9002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, 14, 45, 110, 221, 390?\nAnswer: 629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 170 = 9. Is 22 greater than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -16*b + 288. Calculate l(21).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -c - 2*y, -3*y + 15 + 0 = 0. What are the prime factors of c?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 + 62\/(-8))*-4. Suppose 1 - 2 = -u, 5*j - p = 2*u. Suppose -l - 2344 = -j*b + 5*b, -586 = -b - 2*l. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 18 - 87. Let u = y - -161. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5.401 - -877743.\nAnswer: 877737.599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r. Let w(u) be the second derivative of -1\/3*u**4 + 2*u + 0*u**2 + 0 + 0*u**3. What is a(w(x))?\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -227*w**3 - 158*w**2 wrt w.\nAnswer: -1362","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of p**5\/60 + 3*p**4\/4 + 23*p**3\/6 - 28*p**2. What are the prime factors of z(-17)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000011811189 to seven decimal places.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -856\/5 - -172. Do 2 and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - 5.05. Let r = y - 0.25. Put 0, r, 0.2 in descending order.\nAnswer: 0.2, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 0.05 (c) 0.034 (d) 10 (e) -0.05761\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-324)\/72*1\/3.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -1 + 9 - (0 + 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a millennium in decades?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3899 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: Suppose -33*n = -841 + 181. What is the greatest common divisor of 110 and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48526178 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2128 is divided by 106.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 PM and 7:32 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/((-3)\/(-9))*-1. Suppose 1 = -h*d + 13. Suppose 20 = 2*p + 3*m, 2*p + 3*p + d*m = 36. Is p a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**3\/(i*i**0*i))\/((i\/i**1)\/i)**(-15)*(i*i*i\/(i*i\/(i**(-2)*i)))**(13\/6)*(i**(1\/6)\/i)\/i**7 assuming i is positive.\nAnswer: i**(-131\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 2746.9 to the nearest 100.\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.4783 plus -10.5?\nAnswer: -8.0217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.07477, -0.3, 2\/15?\nAnswer: 0.07477","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**2 + 69*v + 420.\nAnswer: -3*(v - 28)*(v + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 - n + 23. Calculate the remainder when x(0) is divided by (-2)\/(1*1\/(-4)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 8:11 AM?\nAnswer: 12:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - -1. Let i = -0.5 + -2.5. Let h be 5*1\/(-2)*2. What is the third biggest value in w, h, i?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 2*m**2 - m. Let c be o(-1). Let q be -2 + (-3 + -8)*-1. Suppose -3*s = -q, -4*d + c*s = 1 - 4. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25164000 rounded to the nearest 1000000?\nAnswer: -25000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 minus -333?\nAnswer: 354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*t + 35*t - 50. Let g = 11044\/21 - 526. Which is bigger: t or g?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (24928*w - 138 + 8655*w - 133 - 151 + 422)*(-w**2 - 3*w**2 - w**2) to the form h + c*w**2 + a*w + u*w**3 and give u.\nAnswer: -167915","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 3*q**2 + 2*q + 1. Let w be v(2). Let o = -4.927 + 0.927. What is the second smallest value in -1\/6, -0.1, w, o?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 7, d: 3}. Give prob of picking 2 w.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 27632 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(0 + -2 + 0). Factor -2 + 1 - r**2 - r**2 + 3*r**u.\nAnswer: (r - 1)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 7651, 34864, 81651, 148018, 233971, 339516?\n\"Answer: q**3 + 9781*q**2 - 2137*q + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a factor of 5096410?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-10)\/(-25))\/(2\/30). Suppose 0 = -5*z + 2*j - y, 0*z - 3 = -2*z - j. Factor 0*m - m**3 + z + 7\/2*m**4 - 2*m**5 - 1\/2*m**2.\nAnswer: -m**2*(m - 1)**2*(4*m + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 19*r**2 - 3*r - 6. Suppose 0 = -2*z - 2*p - 2, 2*z + 5*p + 10 = -1. Let c(f) = f - f**z - 5*f**2 - 352 + 354. Calculate 7*c(x) + 2*l(x).\nAnswer: -4*x**2 + x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 - 3*g - 24. Let k be b(7). Let p(i) = 583*i + 20. Let w be p(k). Let c(j) = w*j - 5*j**2 - 2352*j. Let f(l) = l**2. Give f(c(n)).\nAnswer: 25*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.06? (a) -4\/3 (b) 0.5 (c) -9.4 (d) 3 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in five eighths of a micrometer?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*x + 9*x + 5*x)*(0 - 3 + 2) + 0*x + 3*x - 4*x as w*x + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 505fa (base 16) to base 9\nAnswer: 551528","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.7? (a) 17 (b) -4 (c) 3\/7 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 533.0175 kilograms in nanograms?\nAnswer: 533017500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6493.089ms in seconds?\nAnswer: 6.493089","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = 2*b - 5*v + 87, 0 = 2*b + 5*v + 83. Suppose 8*r - 11*r = -342. Let u = r + b. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 133910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -450 + 833. Differentiate 382*n - t*n + 88*n**3 + 12 + 54 with respect to n.\nAnswer: 264*n**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2 + 7*a - 40. Let x(i) = -i - 1. Let t(d) = k(d) - 6*x(d). Let r(g) = -g**2 - 7*g - 1. Let b be r(-5). Let j be t(b). Solve -3 = j*o - 5*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 29674 and 24.\nAnswer: 356088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 5 = 1. Let n(b) = -306*b + 18059. Let z be n(59). Solve z*k = -11 + y for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 3*b - 3 = 0, 5 = o - 6*o + 5*b for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 2\/9 (b) 0 (c) 0.8 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**3 - 2*r**3 + 5*r**3)*(-2*r**2 - 2 + 2) - 2*r**5 + 0*r**5 + 0*r**5 + (5 + r**4 - 5)*(0*r + 10*r + 0*r) + 2*r**5 - 5*r**5 + 5*r**5.\nAnswer: 6*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*m + 5*k - 19 = 86*m, -5*m - 5*k - 5 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 546187044?\nAnswer: 2, 3, 13, 29, 37, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -19*f + 28*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 u when three letters picked without replacement from {u: 3, a: 2, d: 9, t: 4}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/2, 0.8, -4.98, 4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 4*p - 28 + 11 = w, -74 = p + 4*w + w for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 62339.3 days in minutes?\nAnswer: 89768592","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 2628 divide 770957964?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 911798.\nAnswer: 2, 455899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15 and 285?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*g - 2*v + 44, -451*v - 11 = -7*g - 452*v for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -2*x**3 - 1787*x**2 - 18531*x + 10603. Determine t(-883).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 3*f - 18 = -q, 48 = 4*q + 4*f. Let a be ((-190)\/6)\/((-3)\/q). Let k be (-55)\/(-3) - (-24)\/36. What is the greatest common factor of k and a?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 204696.\nAnswer: 2, 3, 2843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 + 30*n**2 + 77*n + 591. Let m be d(-28). Let g(s) = -2*s**2 - s - 4. Let u(b) = b**2 + 1. Determine m*g(t) + 8*u(t).\nAnswer: 2*t**2 - 3*t - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 89 = 2*c, 4*x - 2*c + 137 = -3*c. Let k be ((2 - 3) + 0)\/(3\/(-93)). Let y = x + k. Sort 3, 4, y in decreasing order.\nAnswer: 4, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*j - 5. Let q = -382 + 379. Which is smaller: j or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -6, -27, 5, 4, 1451.\nAnswer: -27, -6, 2, 4, 5, 1451","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1136\/69 + -204\/23. Suppose 5*o - 3*v - 87 = 0, o - 4 - 3 = -2*v. Calculate the common denominator of w and 5\/(o\/2)*130\/(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -3*l - 0*l + 1870, 5*v + 2*l = 4697. List the prime factors of v.\nAnswer: 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/768)\/(56\/(-192))?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*g + 38*g - 46*g = -43*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(1900))*-2.\nAnswer: -20*sqrt(19) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 5086?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/7)\/((-26)\/182). Which is the third biggest value? (a) k (b) 5\/4 (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/((-70)\/9))\/((-79074)\/(-4011))\nAnswer: 3\/46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*s**5 + 109 - 109)*(-2364 + 1536 - 1138).\nAnswer: -11796*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4\/49, -6, 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of m**7\/42 + 31*m**6\/3 + 237*m**3\/2 - 5*m - 4. Find the second derivative of h(z) wrt z.\nAnswer: 20*z**3 + 3720*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 - x**2 - 7*x + 5. Let g be v(7). Let k = -626 - g. Round k to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + u + 25, -5*m - 7*u + 25 = -2*u. Calculate the highest common divisor of m and 80.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 + 16*o**2 + o + 67. Let n be u(-12). Let k = n + -517. What is the highest common factor of 418 and k?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 252 = -36*h - 0 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + -10. Let a = -13 - -17. Suppose 5*s = a*y - 55, -3*s - 4*y + 2 = 3. Sort 3, p, s in ascending order.\nAnswer: s, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/3052724 and -3\/852967.\nAnswer: 58001756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117023335.\nAnswer: 5, 11, 13, 14879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 58\/3 of a minute in seconds?\nAnswer: 1160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000121504437 to seven dps.\nAnswer: 0.0001215","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11.265 + 11.305. Which is the third biggest value? (a) -4 (b) -2\/9 (c) -44 (d) -2 (e) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*z - 3*l - 0*l, -l - 13 = -2*z. Suppose z = 4*m + 2. Which is the closest to m? (a) -0.5 (b) 1 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -3*z**5 - 24*z**4 + 72*z**3 + 96*z**2 - 240*z = 0.\nAnswer: -10, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 90\/7 (b) 73 (c) -7 (d) -2.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 2*y = 7*j - 18149, -6*y = -2*j + 7246. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10186523 is divided by 65.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -t**2 + 11*t**3 - t**3 + 9002690*t - 2 - 9002682*t as l*t**3 + f*t + u*t**2 + i and give l.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 - h**2 - h + 7. Let f(g) = -g + 12. Let p be f(6). Let u be (-3)\/p*(0 + 0). What is the units digit of s(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57018 <= 399124\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2 - 4380*p - 8768.\nAnswer: 2*(p - 2192)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 363 = -395. Suppose v*m - 663 = 153. What are the prime factors of m?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k = 7*k - 5*d - 29, -3*k - 3 = 3*d. Suppose 3*u + b - 18300002 = 0, -k*u + 6100002 = -3*u + b. What is u rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13881 - -13879. Let q be ((-6)\/(-8))\/((-2)\/(-8)). Which is the closest to w? (a) 2\/9 (b) 21 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + 9e369c?\nAnswer: 9e369e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125 = -5*r - 5*s, 51 = -2*r - 0*s - s. Let h be 3 - ((-1 - 1) + 42). Let x = r - h. What are the prime factors of x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(22\/(-33))*(-7)\/((-966)\/(-8)).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (50\/(-400)*-16)\/(((-16)\/(-66))\/(-4))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 less than -437?\nAnswer: -437.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that u**4\/6 + 1066*u**3\/3 + 80987*u**2\/2 - 371911*u\/3 + 249364\/3 = 0.\nAnswer: -2011, -124, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 + 9*d**2 - 14*d - 1. Let l be q(7). Calculate the common denominator of 342\/16*(-10)\/(-15) and 0 + l + 4*81\/(-360).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2800196209 a multiple of 1930?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l + l - l)*(-8 + 8 + 8*l) - l**2 + 6*l**2 - 2*l**2.\nAnswer: 11*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + -26 - 8\/(-8). Let c = p - -34. Solve -3*i - 5*x = 22, i + 2*x + c = 1 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -892\/6261 or -1?\nAnswer: -892\/6261","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 2*k = -42, 3*i - 13 = k + 12. Suppose -6*p + 5*p + i = 0. What is the lowest common multiple of 6 and p?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (16 - (38 + 5)) + -6\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-240)\/(-1320))\/((-2)\/176)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 0*l + 2 = -5*w, -2*w + 16 = -5*l. Let d be (-3)\/(l\/(-16)*-6). Solve 8 = 2*c + d*p, -2*p - 3*p + 26 = -c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/332904 and -50\/9168731?\nAnswer: 220049544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*((m**6\/m)\/m*m)\/m*m*m)\/(m**(1\/5)*m))\/(m**5\/(m\/m**6))*m**1*(m**(-5)*m)\/m*m**4*m*m**(-2\/11) assuming m is positive.\nAnswer: m**(-186\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 625770?\nAnswer: 2, 3, 5, 17, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-one halves of a day in minutes?\nAnswer: 29520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of -2 - 1\/2*u**2 + 0*u. Let i(r) = -24*r**2 - 28*r**2 + 54*r**2. Give i(b(v)).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 123716, -3, 3, -15 in increasing order.\nAnswer: -15, -3, 1, 3, 123716","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1088*k + 133110 - 133110)*(3 + 5 - 2*k - 11) to s*k + t + q*k**2 and give s.\nAnswer: 3264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -2*o**3 - 6*o**2 + 4798*o + 28791. Determine h(-6).\nAnswer: 219","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -2\/5, 5\/4, -53.76584?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**3 + 1208838*t**2 - 182665394640*t + 1278598530104.\nAnswer: -2*(t - 302206)**2*(t - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/(-2*3\/(-6)). Suppose y + 15 = 5*z - 2*y, k = 5*y. Suppose -z*l - 859 = -c - c, l - 1 = 0. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -584*o**3 - 7*o**2 - 21*o - 17. Is j(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*k - 175 = -422 for k.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/16141, 0.23, -2 in descending order.\nAnswer: 0.23, 4\/16141, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7963256354 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 95486953 to the nearest integer?\nAnswer: 457","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 364961610 to the nearest integer?\nAnswer: 715","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - q - 2 = -2*b, -2 = q - 2*b. Suppose -c - c + 10 = q. Solve 0*o + 10 = -c*o, 3*o - 9 = -3*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 3*v + 179*i - 176*i, v - 3*i - 3 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*s**3 - 11 + 11 + (-4 - 2*s + 4)*(-3*s**2 + 0*s**2 + 0*s**2).\nAnswer: 9*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 62\/(-93) + ((-2)\/(-5))\/(36\/3210). Calculate the greatest common factor of 42 and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**4 - 5*u - u + 3*u)*(-4 - 5 - 19)*(4*u - 4*u + 3*u).\nAnswer: -84*u**5 + 252*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express a**2 - 5 + a + 5 + a**4 - 3 in the form p*a**2 + k*a**4 + i*a + l*a**3 + b and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/110 and -7\/31405.\nAnswer: 62810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 7*y**3 + 22*y**2 + 7*y + 3. Calculate j(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 181*i*m**2*p - 2*i*m*p - 302*i - 12*m**2*p - 40486*m*p with respect to i.\nAnswer: 181*m**2*p - 2*m*p - 302","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 221212201002 - -201?\nAnswer: 221212201210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.6 and -89471.\nAnswer: -53682.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8)\/(-1 + -3 + (-2 - -7)). Find the common denominator of -79\/10 and (1 + 42\/(-45))\/(w\/732).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 4 - 1)*(9*w - 3*w + 7*w) as n + r*w and give r.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 21*a - 9*a - 2 in the form q*a + m and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 128979679 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(21) + sqrt(21) + sqrt(21))\/sqrt(3))**2 - (-1 + 4*sqrt(7) + sqrt(7)).\nAnswer: -5*sqrt(7) + 344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 64972381?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand q**5 - 2*q**5 - q**5 + ((-1 - 7 + 1)*(3*q - 7*q + 6*q) + 3*q + 4*q - 5*q + (1 - 1 + 2*q)*(0 + 3 + 0) - 5 - 3*q + 5)*(4*q**3 + q**4 - 4*q**3).\nAnswer: -11*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 390835 and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 62672 and 192?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 840*u**2 - 387*u**2 + 1440*u**2 + 1339*u**2 + 1224*u**2 to the form d*u + o + j*u**2 and give j.\nAnswer: 4456","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 936 and 1044?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -143\/477870 and -91\/421650.\nAnswer: 7168050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 684?\nAnswer: 1368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 86*r + 452. Let g be o(-4). Suppose -7*s = -2*s. Suppose -10*q + 4*q + g = s. Calculate the highest common divisor of 45 and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-20))**(3\/4)\/(a**(-34)*a*a*a**(-2\/25)*a) assuming a is positive.\nAnswer: a**(402\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -112151, 3.\nAnswer: -112151, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 - 242 + 241 + l + 2*l**3 + l**2. Let t(u) = -2*u**3 - 3*u**2 - 5*u + 4. Calculate 3*h(b) + t(b).\nAnswer: b**3 - 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 471 - 797. Let c = w + 476. Is 25 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -15, -24, -33?\n\"Answer: -9*q - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 343587.9 rounded to the nearest 10000?\nAnswer: 340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - 2*k)*(3 - 1 - 1) - 23*k + 9*k - 13*k - 10*k + 2*k + 3*k - 4*k.\nAnswer: -38*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in 0.4, 1\/3, 0, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 49*b**2 + 4*b - 385. Let k(m) = m**2 - 2*m + 1. Let z(n) = 3*k(n) + v(n). Find the first derivative of z(i) wrt i.\nAnswer: 104*i - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 17*n**3 - 4*n**2 + 7. Let r(j) = 16*j**3 - 3*j**2 + 6. Let a(d) = 4*r(d) - 3*x(d). What is the derivative of a(m) wrt m?\nAnswer: 39*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 + 55*k**2 + 87*k + 68. What is the thousands digit of p(55)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 583 and 8148379.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3367 and 15799.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12165 = 8*z - 13467. What is the tens digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3920 and 7360.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1579, 6511, 14735, 26251?\nAnswer: 41059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 493151387 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2350 and -4631356807.\nAnswer: -4631359157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.01 or -2206678?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + -61626?\nAnswer: -61621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 262200870 to the nearest integer?\nAnswer: 16193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 74676?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jt when two letters picked without replacement from tttj.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -92 and -5.\nAnswer: 460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 92cde (base 15) to base 2\nAnswer: 1110001100110000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 AM and 6:31 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 33 + 21. Calculate the remainder when p is divided by 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-2)\/p)**(-7\/2)*p**(4\/7)\/(p*p*p*p**(-6\/7)\/p) assuming p is positive.\nAnswer: p**(45\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 3*m + 10. Let k = 363 + 25. Let c = k + -381. Calculate v(c).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -475 divided by 1.\nAnswer: -475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1617)*-2)\/(3*sqrt(300)) - (1*(-1*sqrt(352) + sqrt(22))\/sqrt(2) + 1).\nAnswer: -1 + 38*sqrt(11)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -9245*t**5 + 121045*t**4 + 414070*t**3 + 256540*t**2 - 26600*t + 640 = 0.\nAnswer: -2, -1, 2\/43, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 585 and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8434491681 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -123092*o*w**5 - o*w**2 - o*w + 13*o + 3672 wrt w?\nAnswer: -2461840*o*w**3 - 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 192*x**3 - 2*x**2 - 748*x wrt x.\nAnswer: 1152","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of ((-6)\/(-15))\/(1\/25) and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 10b8 - 0?\nAnswer: 10b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 5505?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109472193.\nAnswer: 3, 12163577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-5 + 5*(sqrt(2299) - 2*sqrt(2299)) + 0)**2.\nAnswer: 550*sqrt(19) + 57497","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 767876877?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/804426 and -79\/49434.\nAnswer: 8848686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - -10847?\nAnswer: 10845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/6*3225\/262300*-4?\nAnswer: 1\/122","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 32 - 27. Suppose 5*o = -v + 7 + 14, r*o = -2*v + 67. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 + (0 - (-9)\/3). Suppose 1 - 1 + 6*p**3 + 4*p - 4*p**4 + a*p**2 - 10*p**3 = 0. What is p?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (270\/81)\/(1*6\/(-9)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 2*i**3\/7 + 1416*i**2\/7 - 35136*i\/7 = 0.\nAnswer: -732, 0, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 0.4, -4\/5, -0.4, 283, -1046?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 - -0.667292515\nAnswer: 0.367292515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000134742645 to six decimal places.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 404832 and 215040?\nAnswer: 906823680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -102.68 - 12.\nAnswer: -114.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - -0.1. Let y = s + -3.1. Let f = 2.2 + -0.2. Which is the nearest to 1? (a) f (b) 1 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2974, 2972, 2970, 2968, 2966, 2964?\nAnswer: 2962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17067 - -17079. Solve 15\/2*h**3 + 21\/2*h**2 - v*h - 6 = 0 for h.\nAnswer: -2, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -60075 rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 2) + 0 - (-3 + 0 - -9)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-7 + 12)*(-6)\/(-15). Suppose 4*n - h*g + 4*g - 4614 = 0, -20 = -4*g. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3856021\/8 + 482928. Let g = 927 - b. Let d = 3355\/4 - 831. What is the common denominator of g and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 41064100 by -5866300.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1586680456?\nAnswer: 2, 83, 1193, 2003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 - 7*c**2 - 4*c + 22. Let n be b(-9). Suppose 15*v - n = 725. Calculate the greatest common factor of 27 and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1486011, 1485980, 1485951, 1485924?\nAnswer: 1485899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, -3, 0, 62833 in increasing order.\nAnswer: -27, -3, 0, 62833","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3 - -440\nAnswer: 443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, n: 5, o: 4}. Give prob of sequence oino.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a*a*a*a*a**(3\/5))\/a)\/(a**(-4)\/a))**44)**(2\/69) assuming a is positive.\nAnswer: a**(3784\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-q + q + q)*(-6 - 19 + 6)*(2 + 1 - 5) to the form t + v*q and give v.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 + -248621.3.\nAnswer: -248620.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -33349396376+16.4\nAnswer: -33349396359.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of -10 - 4\/7*o - 5\/14*o**4 - 6\/7*o**3 - 2\/35*o**5 - o**2. Factor d(p).\nAnswer: -2*(p + 1)**3*(p + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 - -11. Suppose 4*h - 3*m + 10 = 43, -9 = -4*h - 5*m. Suppose -h = 2*g - 4*g. Solve -r + k*b + 11 = 0, -3*r - 7 = -4*r + g*b for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -43 + 47. Suppose 4*s - 4 = -2*p, b*s + 4*p = 3 + 5. What is the third derivative of s*t**2 - 12*t**2 - 15*t**4 + 19*t**4 wrt t?\nAnswer: 96*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12553000 (base 7) to base 14.\nAnswer: -221370","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/5 (b) -370 (c) 4.4 (d) 4 (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.04 and 15210945.06?\nAnswer: 15210945.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 172 a factor of 1129001?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 5*d - 6 = 16, 5*d - 18 = -2*m. Let c(i) = 2*i + 3. Let t(y) = 1. Let j = 5 - 3. Give j*t(w) + m*c(w).\nAnswer: -2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 - (3 - 4)*1. Suppose 0 = 2*l - c*j - 138, -2*j = 4*l - 151 - 107. Suppose -x = -39 - l. What is the tens digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 5*f + 99 + 86 = 0, -5*f + 0*f + 185 = -109*n + 44*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 9 (c) 5 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 1:31 PM?\nAnswer: 9:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6.8 - -46.2. Let g = b - 55.8. Let n = g - -3.8. Which is bigger: -6 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/6*(-3068)\/(-31447)?\nAnswer: 2\/123","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 + 77 = 2*t. Is 13 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert da3d (base 14) to base 10.\nAnswer: 37687","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26589, -26627, -26731, -26931, -27257, -27739, -28407?\nAnswer: -29291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j - 1. Let u be r(-2). Let z be (39\/15 - 3)\/((-2)\/10). Let g be (z\/u)\/((-10)\/45). Solve t + 1 = g for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 348*d**5 - 27834*d**2 - 9*d + 271092 wrt d?\nAnswer: 6960*d**3 - 55668","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 361 - 4?\nAnswer: 356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of -1\/60*l**5 + 0*l**3 + 0*l**4 - 9*l**2 + 0 + 0*l. Let i(v) = -297*v + 297*v - v**2. What is g(i(o))?\nAnswer: -o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 364, 366, 380, 412, 468, 554, 676, 840?\nAnswer: 1052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9703895 is divided by 20?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(147) + 0 + sqrt(147))*-5)**2.\nAnswer: 14700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*a = 46*a + 90*a - 882 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 437*k**2 - k + k - 446*k**2.\nAnswer: -9*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -8*t**2. Let w be l(-2). Let x = -17 - w. List the prime factors of 10\/4*12\/x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w*w\/(w\/w**15)))\/(w*(w**(24\/11)*w)\/w*w))**(-39))**3 assuming w is positive.\nAnswer: w**(24687\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/293 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -84, -322, -710, -1242, -1912, -2714, -3642, -4690?\n\"Answer: f**3 - 81*f**2 - 2*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -32, 3 in decreasing order.\nAnswer: 10, 3, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2. Let l(t) be the second derivative of -11*t**4\/12 + 5*t**3\/6 + 15*t**2 - 18*t. Let r(j) = 6*h(j) + l(j). Solve r(o) = 0.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 106.67 + -107.14. Which is smaller: 54 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 2*k = -17, -18*f = -19*f - 4*k - 33 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-34)*a)\/(a*a**22)*(a*a**(-1\/2))**(2\/117))**(2\/3) assuming a is positive.\nAnswer: a**(-12868\/351)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2)\/z**(-8))**(-5)\/(((((z**0*z)\/z)\/z)\/z)\/(z*(z*z**(1\/9))\/z*z)*z*z*z**(-4)\/z*z*z**1) assuming z is positive.\nAnswer: z**(-224\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 615836 is divided by 87976.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -114003 + 123?\nAnswer: -113330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-12 - 3)\/5 + -5\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5470?\nAnswer: 2, 5, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -4444300 (base 5) in base 13?\nAnswer: -296ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 230\/8) + 10279 + -10255.\nAnswer: -19\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 5) to base 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 33 - -4?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:48 PM and 5:00 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -10626221.57 to the nearest 1000000.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/7 (b) 1 (c) 2\/279 (d) 0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -252*h**2. Let a(u) = -u**2. Determine -432*a(v) + 3*o(v).\nAnswer: -324*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*m + 35 = 3*x - 52*m, 9 = x + 2*m. Suppose 0 = i, -4*y - y + 380 = -5*i. What is the remainder when y is divided by x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96149 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: Collect the terms in 3629 - 7265 - 160685*x + 3636.\nAnswer: -160685*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -17537+21971325.1\nAnswer: 21953788.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 3 + -2 + -3 + 3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + 2\/(-2)*346. Let p be u\/(-6) - (-6)\/9. Suppose 3*r - 86 = p. Calculate the greatest common factor of 32 and r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2031\/523 or 2\/5?\nAnswer: 2031\/523","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -2*r. Suppose 4*f + 20 = 3*m, -2*m + 2*f - 4*f + 4 = r. Suppose m*o = -13 + 121. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-2)\/9)\/((-3)\/5))\/((-249970)\/(-149982))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4\/10*(5 - 105\/28)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 + 3*n + 1. Let r = -140 + 169. Let b = 14 - 38. Let o = b + r. What is j(o)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -2*i**3 - i**2. Suppose -10 = -2*y + 2*v, -3*v = -0 + 3. Let x(b) = -2*b**3 - b**2. Calculate y*q(s) - 5*x(s).\nAnswer: 2*s**3 + s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 18 = -4*h, 2*h = 3*t - h - 18 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-210540)\/(-96800) + 1\/8*-3?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*l - 8*l + 9*l + 29 = -2*q - q, 29*l - 209 = -3*q for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - 50a4?\nAnswer: -50a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 37 (b) -4 (c) 0.5 (d) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 7, 11, 15, 19, 23, 27?\n\"Answer: 4*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 447757964.\nAnswer: 2, 233, 480427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add -96437508 and 89459.\nAnswer: -96348049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 96.13724kg?\nAnswer: 96137240000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16177?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 divided by -9847061.\nAnswer: 3\/1406723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/j**5*j*((j\/(j\/(j**(2\/3)*j)))\/j)\/j*j*j\/(j**6*j)*j**(-1\/3)*j assuming j is positive.\nAnswer: j**(-23\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-17)\/1156*19484 - -19. Is m at least -267?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3917091 and 6493.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3180, 6775, 10374, 13977, 17584?\n\"Answer: 2*w**2 + 3589*w - 411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/338 and 87\/2.\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.03985 in 1\/44, 2\/299, 2?\nAnswer: 2\/299","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1570 + 1573. Suppose 4*y + 5*r + 0 - 1 = 0, 0 = -2*y + 5*r + 23. Put m, y, 4\/5 in decreasing order.\nAnswer: y, m, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 644 + -188. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1\/(-2))\/((-82)\/560060)?\nAnswer: 5, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 93112275?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - -2021?\nAnswer: 2010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 - 18*s**2 + s + 20. Let d be v(-18). Let c(b) = -2399999*b**2 + 2*b - 8. Let w be c(d). What is w rounded to the nearest one million?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -54 + (-1534)\/234 + 61 - (1502\/9)\/2?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 470 = 9*j - 898. What is the greatest common factor of j and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33477.28 millennia to decades.\nAnswer: 3347728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1781103 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 11 + 6 + 22*a.\nAnswer: 22*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, 11, -3, 359 in increasing order.\nAnswer: -3, -1, 3, 11, 359","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -425*o**2*u**2 - 8873*o**2*u - 33*o**2 + 3417*o - 2 wrt u.\nAnswer: -850*o**2*u - 8873*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2003 + 117*h**3 + 2003 + (-2 + 2 - h**2)*(-1 + 1 + h) - 10*h - 203*h**3 - 204*h**3 - 2 + 406*h**3 as y*h + b*h**2 + f*h**3 + o and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11\/3, 3\/119, -0.1, 2\/31, -1\/6 in increasing order.\nAnswer: -1\/6, -0.1, 3\/119, 2\/31, 11\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1543 - 1536. Suppose 0*w + 4*w + 41 = 5*u, -3*u + 5*w = -35. Solve -u*r + d = -2*o - 9, 0 = 4*r + 5*o + 7 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7553 = -26*q - 8125 for q.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 28429758?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a = -14*a + 8. Let y be (-6 + 15)*(-1)\/(-6). Let o be -2*(1 + (-14)\/4). What is the nearest to 1\/2 in y, o, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -4*b + 16398, 17*r - 16*r + b - 5463 = 0. What is the remainder when r is divided by 21?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1\/18 - -7\/45. Let q = 6.6 + -5.6. Let y = q + -0.6. Which is the biggest value? (a) v (b) y (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppp when three letters picked without replacement from {t: 5, p: 15}?\nAnswer: 91\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - v**2 + 2*v + (-2*v + 3 - 3)*(0*v - v - 5*v))*(3*v**2 - 3*v + 3*v).\nAnswer: 33*v**4 + 6*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + z + 8)*(-z**4 + 2*z**3 - 2*z**3) + (2*z**2 - 2*z + 2*z)*(2*z**3 - 2 + 2) + z**3 - z**3 - 2*z**5.\nAnswer: z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92159 is divided by 120?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1440 by 480.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 324*h - 327*h + 18 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002332 to five decimal places.\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4045 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 42*z - 2 + 71*z + 32*z - 51*z + 1.\nAnswer: 10*z + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -212*x - 36*x**4 + 71*x**2 - 175 + 431 + 4*x**5 + 80*x**3 - 172*x + 9*x**2 = 0.\nAnswer: -2, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hr when two letters picked without replacement from hrhhrh.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -28*m - 2. What is the units digit of d(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 + 6*b**2 + 3. What is j(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -206*l + 1777 + 901 for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-26)\/(-10) - (-9072)\/6480\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52051 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2073002867?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -6 (c) 0 (d) -1\/7 (e) 0.4 (f) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 42769 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -179128.46 plus -0.2?\nAnswer: -179128.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0026479484 rounded to 5 decimal places?\nAnswer: 0.00265","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.15 + 0.25. Let r = 353 + -2476\/7. Let k = r + 27\/28. What is the second smallest value in h, 5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -2144*k + 158. Give z(0).\nAnswer: 158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuuu when four letters picked without replacement from {u: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 10:01 PM?\nAnswer: 2:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -13 + 3601731?\nAnswer: 3601716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 64 = -4*g. Let r = 24 - g. Let v = -24 - r. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.61 * -160335\nAnswer: 97804.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -75, -106, -137?\n\"Answer: -31*o - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.494 - -40.694. Let x = f - 40. Let p = 3\/25 + -52\/225. Which is the second biggest value? (a) 2\/13 (b) p (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 3*f - 28 = 0, 2*a + 2*f - 83 = -19. Let l = a + -50. Let o(j) = -j**3 - 17*j**2 + 37*j + 1. Let t be o(l). Solve -2*d + t = 3*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1316 + 1316. Let v(k) be the second derivative of 8\/39*k**3 - 1\/195*k**6 + 0 - 2\/13*k**4 - 6*k + c*k**2 + 3\/65*k**5. Factor v(b).\nAnswer: -2*b*(b - 2)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 12*d**2. Let n(b) = 17*b. Let q(k) be the first derivative of -2*k**2 - 13. Let h(g) = -2*n(g) - 9*q(g). Determine c(h(z)).\nAnswer: 48*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 6554 - 5421 = -5*m, m = 5*x + 2389. List the prime factors of m.\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -392, -364, -318, -254, -172, -72?\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 359*m - 360*m + 607*n = 606*n - 5, 0 = 7*n + 42 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -99\/39980 and -93\/2522738?\nAnswer: 25227380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17\/15 + -4\/5. Let -y*b**3 + 1\/3*b**4 + 0*b**2 + 0 + 0*b = 0. Calculate b.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 466 is divided by 132?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (k + 0 + 0)*(-2 + 0 + 0)*(-16*k + 66*k + 9*k)*(2 + 0 - 4) to the form o*k + u*k**2 + v and give u.\nAnswer: 236","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**0*p)*p)**(-18)*p*p\/(p\/(p*p*p*p**(-3)))*(p\/((p\/(p*p\/p**(2\/23)*p))\/p)*p*p)\/p*(p**(-5)\/p**(2\/5))**(-2\/19) assuming p is positive.\nAnswer: p**(-25168\/2185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/17, -8, 8142, 0, -3, -5\/2, -0.4?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*d - 46*d - 3*c - 49 = 0, 4*c + 69 = 7*d. Let t(s) = -s**2 + 16*s - 24. Calculate t(d).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7625 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j = -3*j - 2*c - 14, 9*c + 45*c - 90 = -3*j for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 - 28*b**2 + 2016*b - 59304. What is i(29)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 209720934.\nAnswer: 2, 3, 263, 14767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hcfabbbbbhfb. Give prob of sequence ahf.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 18.6932586 to the nearest integer.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 0*b + 2*t = -23697, 2*b - 15803 = 3*t. What is the thousands digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 5*u - 375, -3*i - 4*u - 256 + 17 = 0. Let r = i - -71. Let d(j) = -4*j - 4. Calculate d(r).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.3 in 3\/4, -3, 1, -1, 27\/10?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a. Let s(h) = 720861*h**2. Calculate s(k(w)).\nAnswer: 720861*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qr when two letters picked without replacement from rgrgrgqgqqrrrqgggrq?\nAnswer: 35\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-10) - (-27)\/(-45). Let y(o) = -2*o**3 - 6*o**2 - 7*o - 4. Let w(p) = p**2 + p + 1. Give x*y(v) - 6*w(v).\nAnswer: 2*v**3 + v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.198 times -1.72\nAnswer: -0.34056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*c**2 + c**3 + 24*c**2 + 18*c**2 + 21*c**2.\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -5 (b) 0.4 (c) 24 (d) -1 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 217948 - 128010. What are the prime factors of a?\nAnswer: 2, 193, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of -48*k + 0*k**2 - 23\/15*k**6 + 0 + 0*k**5 - 1\/4*k**4 - 1\/2*k**3. What is the third derivative of f(i) wrt i?\nAnswer: -1104*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.06 + -0.26. Let w = v + 0.4. Let l be (-1 - 0)\/(-3)*-3. What is the closest to 1 in w, -0.3, l?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 5465096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 409 a factor of 504582?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fff when three letters picked without replacement from {x: 4, f: 7, t: 6}.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1068 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -202.67 + -0.2065\nAnswer: -202.8765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 84 - 72. What is the common denominator of 67\/4 and ((-9)\/w)\/(740\/(-188) - -4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -12*p**2 - 5*p - 5. Let j(i) = -30*i**2 - 12*i - 12. Suppose 0 = -1373*c + 1376*c - 36. Give c*d(t) - 5*j(t).\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 + 3 - -1) + 1. Suppose q*z = 9, -4*p + 6*z = 2*z - 156. What is the greatest common factor of p and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 356*m = 362*m. Let o = -993 + 1422. Suppose 5*h + c - 5400 = m, -3*h + o = 5*c - 2789. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 115 + -108. Suppose -3*r - 16 = -i*r. Suppose 0 = -r*b + 2*b + 280. Is 27 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (-6 - (-22 + (1 - -11)))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 423 and 517?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 158\/5 - 953\/30. What is the third smallest value in 4\/3, h, -2, -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -35436?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1389 is divided by 671?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 10 = 4*n. Let j = 0.05 + 0.04. Let f = 6.09 - j. What is the closest to -2\/3 in f, 1\/5, n?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of u**6\/48 - u**5\/24 - 25*u**4\/24 - 10*u**3\/3 + 61*u**2\/2 - 181*u. Let z(d) be the first derivative of v(d). Factor z(b).\nAnswer: 5*(b - 4)*(b + 1)*(b + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u - 2. Let y be j(4). Let z(n) = -2*n - 2*n**y - 6*n + 8*n. Let b(w) be the first derivative of -w**2 + 60. Determine z(b(d)).\nAnswer: -8*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let p = -283 - -298. Solve -p*m + 8 = -7 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30378, -30356, -30308, -30222, -30086, -29888, -29616?\nAnswer: -29258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -356, 0.04, -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 - 5*f**2 - 4*f - 7. Let p be i(6). Let g = -0.7 + 0.2. Put p, g, -2\/7 in increasing order.\nAnswer: g, -2\/7, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 110*x - 111*x. Solve o = -5 + x for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = 614*x - 618*x + 7, 5*k + x = 23 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001645931792 rounded to 7 dps?\nAnswer: -0.0016459","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 2 + 2. Suppose 0 = -u + 2 + v. Suppose -u*s + 231 = 3*h, -5*h = -2*s + 6*s - 388. What is the greatest common factor of 8 and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -222, -210, -196, -180, -162?\n\"Answer: p**2 + 9*p - 232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -5*n - 3. Let k(q) = 1. What is j(v) + 5*k(v)?\nAnswer: -5*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 73, 10.\nAnswer: -5, 10, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1110137 > 1110139?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -4*f - 2. Let m be a(-3). Suppose 0 = 4*j - 0*t + 4*t - 24, -2*j + m = 4*t. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -23*k - 10. What is c(-3)?\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-18)\/6 - (-50)\/925?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60621 (base 9) to base 11.\nAnswer: 27a57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 - 4*k**2 - 2*k - 5. Let g be o(-4). Suppose 8*p - g*p = 0. Does 3 divide (p + 14*-1)\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 53998 to the nearest integer?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + 0. Let x = n + -4. Let q = x - -11. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of 0*a - 2\/45*a**4 + 0 - 19*a**2 - 15\/2*a**3 + 1\/2700*a**6 + 7\/900*a**5. Let j(g) be the first derivative of m(g). Factor j(k).\nAnswer: 2*(k - 1)*(k + 8)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 184482\/5 + -36898. Let v = 6 + -6.3. What is the nearest to -3 in v, r, 4\/3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 4 + 5*x + (-2*x + 2*x - 2*x)*(-4 + 0 + 3)*(-3 - 110 - 18).\nAnswer: -257*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3412979?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v + 5. Let n(w) = 3*w + 8. Determine -7*g(h) + 5*n(h).\nAnswer: h + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u + 4. Let p be v(-4). Suppose -2*i + 16 = -20*r + 19*r, i - 4*r - 22 = p. Let n(q) = q + 1. Let w(y) = 5*y + 8. What is i*n(m) - w(m)?\nAnswer: m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 5678?\nAnswer: 1\/2839","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 0. Let x = -13.0309 - -0.0309. Let s = -13 - x. What is the closest to 6 in -2\/17, r, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20 - -25. Suppose 271 = o*u - 224. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-1 - (-1 + -4)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 5 = 2*b. Let g(q) = 2*q - 54. Let d be g(28). Solve -p + b + d = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -3 + 2*sqrt(891) + (sqrt(891)*2 - sqrt(891))*5)**2 + -5.\nAnswer: 43654","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*2*sqrt(130) + 5*sqrt(130)*2)\/(-1*sqrt(360) - ((sqrt(10) - sqrt(10)*-1*6) + sqrt(10))).\nAnswer: -10*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 + 5*h**2 - 11*h - 62. Let z be w(-4). Let o be 69 - (8 - (z - -4)). Calculate the greatest common factor of o and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -3*x - 20. What is the units digit of c(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 50\/7*q - 8*q**2 + 2\/7*q**3 + 108\/7 = 0?\nAnswer: -1, 2, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*r**5 - 6*r**2 + 5 - 5 wrt r.\nAnswer: 420*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 463*s**2 + 374*s**2 - 836*s**2.\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 8 = -k, 7 = k - 2*f + 14. Let n(y) = -y + 1. Let x be n(3). Put x, 6, k in decreasing order.\nAnswer: 6, k, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71630 + 71624 - 15*c + 22*c - 14*c - 143254.\nAnswer: -7*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-20)\/(p**(2\/7)\/p))\/(p**(-1)\/p**(1\/18)) assuming p is positive.\nAnswer: p**(-2297\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.7637 and -4141?\nAnswer: 3162.4817","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -0.5 (c) 19\/198\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lfca when four letters picked without replacement from {l: 5, a: 2, h: 2, c: 1, f: 4}.\nAnswer: 5\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 328 is divided by 213?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -112, -5, 2, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 7 times -0.04\nAnswer: -0.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g**4 - 753*g**3 + 1104*g**2 + 7188*g + 4080 = 0. What is g?\nAnswer: -85, -2, -2\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1671071?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -248 less than -248?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -109506010 to the nearest 10000.\nAnswer: -109510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b (base 15) to base 6.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(-2)*(-2)\/1. Suppose 0 = -5*m - f + 84, m - f = s*f. Let j(d) = -2*d**3 - 5*d**2 - 5*d - 2. What is the lowest common multiple of j(-3) and m?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ninety-one quarters of a litre in millilitres?\nAnswer: 22750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 51 + (3 + 0)*-1. What is the greatest common divisor of 192 and f?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 489 - 453. Calculate the greatest common divisor of u and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3797*v**2 - 3670*v**2 + 11248*v**2 - 3781*v**2 + 2*v**3.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -686 - -691. Suppose -2*t - 48 = -4*t. Solve -t = 4*i + w + 3*w, -p*i - w - 18 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 110198, 109950, 109700, 109448?\n\"Answer: -k**2 - 245*k + 110444","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -724, -711, -674, -601, -480, -299?\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 223? (a) -2\/3609 (b) 3 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -329*p - 1654 = 649 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from mmccmmmmmmmmmmmmmmm.\nAnswer: 136\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -11*l + 1. Let z be u(-7). Is 1*(z - 1\/1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, -9962, 2 in decreasing order.\nAnswer: 2, -19, -9962","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s**8)\/s**(2\/5))\/(s**(-1\/4)\/((s**(-2\/7)*s)\/s)))\/((s**(2\/5))**(-4\/5)\/((s\/(s**(-2\/3)\/s))\/s)**(-10)) assuming s is positive.\nAnswer: s**(-16343\/2100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.9 + 1.9. Which is the closest to 0? (a) w (b) -10 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1872) + -1)*5 + -4.\nAnswer: -9 + 60*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2 + 90*d + 2025.\nAnswer: (d + 45)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.471452894 rounded to 3 dps?\nAnswer: 0.471","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3250 and 41000.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 + -7. Let t(c) = -2 - 8*c - 2 - 4*c**2 + 5*c**2. Let m be t(8). Sort l, -1, m.\nAnswer: m, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3117923 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 43 - 128\/3. Let v = 0.27 + 0.03. Let h(m) = m - 7. Let g be h(4). Which is the closest to t? (a) g (b) v (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1015 (base 7) to base 14.\nAnswer: 1b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 10133*h - 111364. Give r(11).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-650)*5*-4*(-18)\/(-108).\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 203, 405, 607, 809, 1011?\n\"Answer: 202*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/528 and -101\/220?\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -474 from -0.3.\nAnswer: 473.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 28 = 5*y, -y - 4*y + 5*a = -10 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/21)\/((-2)\/(-15)). Let t = 33\/28 + b. Let c = -127 - -503\/4. What is the closest to -0.1 in 0.3, c, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 497479+-1.1\nAnswer: 497477.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 33 = -4*f, 5*f + 18 - 49 = -4*q. Let m(k) = 11 - 3 - f*k - 8 - 7*k. Let b(l) = -4*l**2. What is m(b(c))?\nAnswer: 56*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 15012 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/7 + 0*(-2)\/(-24)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 257 to the power of 1\/4, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 47\/142?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -719 = -9*v - 800 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = -3*g + 5, -284*s + 283*s - 3*g - 5 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -19 + (-15 - -17).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + 20600?\nAnswer: 20604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that k**3 + 875*k**2 - 876*k = 0.\nAnswer: -876, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 0.0839.\nAnswer: -0.4195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 113132330 (base 4) in base 8?\nAnswer: 273674","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-43)\/(-9) + (-30)\/(-135)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(-15)*(-10)\/8. Let j = -0.22 + -3.78. Which is the second biggest value? (a) 0.2 (b) j (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 18 - 31*t + 15*t + 0 - 4*t**2 + 3*t**2. Let q be g(-13). Suppose 0 = 4*u - q - 111. Is u a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1464721 (base 8) to base 9.\nAnswer: -710485","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -286*t - 74. Let x be p(-4). Suppose x + 1042 = 3*w. Is w a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 227*f - t + 20 = 222*f, -10 = 5*f - 3*t for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2*g - 121. Let r(p) = -141705*p**2. Give w(r(c)).\nAnswer: -283410*c**2 - 121","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1966*t**3 + 124*t**2 - 30*t**2 - 47*t**2 - 47*t**2.\nAnswer: -1966*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 11022112 (base 3) to base 7\nAnswer: 12113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 - 1. Let z = -4 + 5. Let n be v(z). Solve 5*r + 1 = 5*f - 9, n = -4*r - 5*f + 10 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.08*-105\nAnswer: -8.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from gfjff.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 40 = 2*v, 4*v = -4*g + 6 + 70. Suppose v*z = 17*z + 94. Is 47 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11.093 + -11.1. Let y = g + -0.093. Which is the closest to y? (a) 4 (b) 3 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -2*n + 3*x, -5 = 5*n + 3*x - 7 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 15 or 1\/4?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-276))\/(30765\/82040).\nAnswer: -2\/207","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from ooooo.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -50697.52927 to the nearest integer.\nAnswer: -50698","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 354*m**3 + 667*m**3 - 1682*m**3 + 665*m**3.\nAnswer: 4*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20*y + 21 - 81 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 52039178 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -429, -431, -425, -405, -365?\nAnswer: -299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*b*v - 17*b + 38*v - 1 wrt b?\nAnswer: -2*v - 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 33 - 28. Which is the biggest value? (a) -4 (b) o (c) -0.5 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 35 and 671158705.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 1 - 3)*(j**5 + 2*j**5 - 5*j**5) + 2*j**2 - 2*j**2 - 4*j**5 + 2*j.\nAnswer: -10*j**5 + 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 at least -147?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1123141, 2246259, 3369365, 4492453, 5615517, 6738551?\nAnswer: 7861549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 249\/(-166)*4\/5?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -15*v**3 + 201*v**2 - 528*v + 180 = 0.\nAnswer: 2\/5, 3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 + 20.\nAnswer: 19.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -7*k - 107. Let u be g(-31). Suppose 6 + 14 = 2*d. Calculate the greatest common divisor of u and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 3:19 AM?\nAnswer: 4:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 625 and 459005.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 533.1 and -0.1.\nAnswer: 533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 4, l: 3, c: 2, g: 3, d: 4, f: 4}. Give prob of picking 2 t, 1 l, and 1 d.\nAnswer: 24\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - -3. Let m(r) be the second derivative of r**3\/6 - r**2 - 12*r. Let i be m(4). Solve 0*c - i*c = -y for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12.23 - 15. What is b rounded to one decimal place?\nAnswer: -2.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 3*p = -12, p = -5*f - 2*p + 22 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62 is divided by 20?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 340183 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*h + 497*h**2 + 4*h + 2*h.\nAnswer: 497*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29284077 to the nearest integer?\nAnswer: 5411","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2529809.\nAnswer: 2529809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 35 + -24. Let r = -453 - -817. Calculate the remainder when (-6)\/(-9) - r\/(-12) is divided by i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 2*s + 4. Let n(g) = -1. Suppose -p + 0 - 1 = 0. Let i be (-1)\/(-2)*(-2)\/p. Let v(l) = i*r(l) + 4*n(l). Let j(w) = 4*w. Give j(v(b)).\nAnswer: 8*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-56)\/216*-30 - 8?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 - j**2 - 2*j. Let p = 89 - 91. What is the lowest common multiple of g(p) and 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.26 - 0.24. Let d = -99 + 99. Which is the second biggest value? (a) x (b) d (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 4*m - 27 = -3*s, -10 = -5*m + 2*s. Suppose 12 = -x + m*x. Suppose 3 = -x*a + g, -a = a + 3*g + 5. Let z(q) = 8*q + 1. What is z(a)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12*a**5*v - 11*a**5 + 4*a**2 + 58*a - v wrt a.\nAnswer: 720*a**2*v - 660*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000334035815 to seven dps.\nAnswer: -0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -194155, -194048, -193927, -193786, -193619, -193420, -193183?\nAnswer: -192902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 9 + (-10 - -8) + -6 + -11 + 55\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -333 less than or equal to -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -2*l - 118. Let w be q(0). Let m = -169 - w. Let d = -3 - m. What is the greatest common divisor of d and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2*k**2. Let m be p(-1). Sort 4, m, -2 in descending order.\nAnswer: 4, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 5*j**2 + 41*j + 124. Calculate z(-8).\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 80*b - 54*b + 256*b - 84*b to the form v*b + g and give v.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 0 + 303*r - 101*r - 112*r - 2 - 104*r + 744*r**5 - 34*r**2 wrt r.\nAnswer: 44640*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*(-21)\/(2436\/(-2))\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 3*l - 8 + 26, -r = 5*l + 17. What is the smallest value in 2\/7, 37, r, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*l - 163 + 46*l - 13*l + 259 wrt l?\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -3*x + 3. Let y(l) = -7*l + 7. Suppose 207*v = -860 - 175. Calculate v*r(b) + 2*y(b).\nAnswer: b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 104 + -66. Suppose -a = -5, -3*y - a - 3*a + v = 0. Let s(p) = p**2 - 9*p + 11. Let c be s(y). Let u(j) = -2*j - 8. Determine u(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1558 + 1028 = 3*c - 8*d, d = 2*c - 1737. Is c a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3317356*l = 3317222*l - 670 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 755984651?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -3*b + 2. Let i be c(-1). Let o = 0.87 + 1.83. Let s = -0.33 - 0.17. Put s, i, o, 0.1 in ascending order.\nAnswer: s, 0.1, o, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 202236 is divided by 100717.\nAnswer: 802","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*b**5 + b**5 - 3*b**5 + 2*b**2)*(7 - 1 + 2).\nAnswer: 56*b**5 + 16*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -2*v**2 - 4*v + 3. Let p be c(-3). Let j be (-3)\/(p*3\/6)*2. Find the first derivative of -j*u + 23 - 38 + 17*u**2 + 4*u wrt u.\nAnswer: 34*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3548976992 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 7254240?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence beb when three letters picked without replacement from {g: 1, x: 3, o: 1, b: 2, e: 1, m: 5}.\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 + 9*r**2 + 13*r + 6. Let a be u(10). Suppose -3*d + 9 = -a. Solve -4*w + 10 = -2*p, 3*w + d = -p + 35 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -7*i. Let t be (-233)\/3 + 9\/(135\/10). Let f = t + 129. Let d(u) = 3*u - 25 - 27 + f. Determine d(n(w)).\nAnswer: -21*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d - 2*d + 2*d)*(-12688*d**3 + 27*d + 11322*d**3 - 27*d).\nAnswer: 1366*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-8448)\/(-242))\/32)\/((-64)\/(-48)).\nAnswer: 9\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 15 - -2) + 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + 0. What are the prime factors of (u - -2) + (-15)\/(-1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1365307650?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3 + 805258*m**2 - 81055458448*m + 81054653192.\nAnswer: -2*(m - 201314)**2*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 206388 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -56 - 7*u**2 - 48*u - 47*u - 53*u + 191*u - 46*u in the form b*u**2 + z*u + w and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 431220?\nAnswer: 2, 3, 5, 7187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of -8*s**2 + 4*s - 362. Calculate g(3).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1019, 2, 40\/9?\nAnswer: 0.1019","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*n**4 - 4*n + 4*n**4 - 21*n**2 + 4*n wrt n?\nAnswer: 264*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -601\/3822 + 1\/294. Let o(m) = 2*m**2 - 4*m - 1. Let y be o(3). Suppose -4*q = -y*q. Which is greater: j or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -47.908 + 48. What is f rounded to two decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/2)\/((-74)\/222)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 4, -8, -429, 19?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -5 (b) 4 (c) -1828.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*z**4 - 167334*z**3 + 669300*z**2 - 669288*z = 0. Calculate z.\nAnswer: 0, 2, 55774","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = 2*v - 2*k - 8472, k - 4244 = -v. Suppose -4*p = 4*p - v. What is the remainder when p is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-21)*-7 - 342\/162?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 38*c**2*m**3 - 2*c**2*m**2*u - 13*c**2*u - 3*c**2 + 2*c*m**3 - c - m**3 + 60*m**2*u + 2*m wrt c?\nAnswer: 76*m**3 - 4*m**2*u - 26*u - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 6:36 AM?\nAnswer: 10:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the second derivative of -9*f**5\/10 - f**4\/12 + 40*f**2 - 9*f + 2. What is the first derivative of b(t) wrt t?\nAnswer: -54*t**2 - 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 3*f**2 - 44*f - 222. Let j be w(-4). Let d(l) be the first derivative of -20 - l**3 + 0*l + 3\/2*l**j. Factor d(n).\nAnswer: -3*n*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1579 is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22, -21, -18, -13, -6, 3, 14?\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -2*d - 4. Give q(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -35 + 57. Suppose w = 5*l - 13, -5*w + n = l + 3*l. Suppose 4*y - 5*t = -13, 4*y = 4*t - 15 + l. Which is smaller: y or 0?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -47576\/7 - -6863. Let s = -133 - -67. Let w = s + r. Sort 4\/7, w, -0.4 in ascending order.\nAnswer: -0.4, w, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-108)\/(-120) + (-2)\/5)*0. Suppose z = g - 2*m - 1, 11*g - 4*m + 1 = 6*g. Sort g, 1, 22 in increasing order.\nAnswer: g, 1, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - 0. Let n be (h + -1)\/(1\/3). Let z be (-1)\/7*(n - 1). Which is bigger: z or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from {x: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1560327.6 months to years.\nAnswer: 130027.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1*(1 - 1)\/3. Suppose -3*c - 4 + 10 = b. Is c even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2))**(-11)\/(s**0\/s)**(1\/9) assuming s is positive.\nAnswer: s**(199\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 + 8*s**2 - 4*s + 10. Give m(8).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-3\/2)\/(p**(2\/3)*p))**(-1\/46))**7 assuming p is positive.\nAnswer: p**(133\/276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 238\/8 - (58\/261*45 - -4)?\nAnswer: 63\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.06 and 0.606.\nAnswer: -0.454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1 + ((-2)\/(-4))\/((-2)\/4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 3 = 1. Which is the closest to 1? (a) -5 (b) -3 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2244, -2201, -2156, -2109?\n\"Answer: v**2 + 40*v - 2285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 51 + -28. Suppose 2*p - k - d = -6*k, -k = 4*p - 19. Solve p*f = -f + 25 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - h - 55 = 0, 5*h - 1 = y + 4. Solve -3*s = -2*r - 1, 4*r + y = -0*r for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -29*d**2 + 4. Let s(r) = 29*r**2 - 3. What is -5*k(b) - 4*s(b)?\nAnswer: 29*b**2 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 8, 1\/4, 1, -0.028 in decreasing order.\nAnswer: 8, 1, 1\/4, 0.2, -0.028","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-983 + 4*v - v**2 + 983)*(-2*v + v + 3*v) as h*v**3 + t*v**2 + f*v + d and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 - 7. Let n be 4*(-3)\/6 + h. Factor -10*a**3 - 5*a**4 - a**4 + 2 - 6*a**3 - 12*a**n.\nAnswer: -2*(a + 1)**3*(3*a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.12 (b) 4 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g + 2. Let d = -18 + 12. Determine h(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -26*r + 4024 - 956. Calculate the remainder when r is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 3*t - 122 + 86 = 0, 3*d = -5*t + 56. Solve -6*c = -d*c - 6 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 + f. Let x(d) = -12*d**2. Calculate 2*p(q) - x(q).\nAnswer: 10*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 - 2*i + 19. What is x(-8)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s. Let k(l) = 11*l - 2. Let f(v) = -21*v + 12 - 3 - 5 + 1. Let p(w) = 2*f(w) + 5*k(w). What is o(p(m))?\nAnswer: 13*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 47 by 16811.\nAnswer: 47\/16811","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, u: 3, y: 3, p: 1, l: 6}. Give prob of sequence pv.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 7 + -10 + -4 + 9\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 87057617?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + 7 + 15 + -20.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*o - 5*i + 3*i, o - 3*i = -3. Find the third derivative of -49*w**2 - 13 - 2*w**3 + 29*w**o + 13 wrt w.\nAnswer: 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of m**7\/5040 + m**6\/180 - 3*m**5\/80 - 199*m**4\/24 + 284*m**2. Let v(f) be the second derivative of q(f). Factor v(d).\nAnswer: (d - 1)*(d + 9)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 332893443?\nAnswer: 3, 110964481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2197708835?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -246? (a) 3 (b) 0.5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 3*w = -3560, -7*w + 5*w + 3535 = 5*d. Is 4 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i - 1. Let d(s) = -10*s - 18. Give 8*a(m) - d(m).\nAnswer: 2*m + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 141 + -77. Solve 3*k**3 - 40*k + 0*k**3 + u - 24*k - 4*k**4 + 13*k**3 = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a - 3. Let k be n(-5). Suppose t + 5*y = 49, 2*t + k*y + 27 = 133. Suppose 0 = 3*h - 0*h + t. Do -18 and h have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 1 - (-279)\/(-39).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 + (3 - (-15)\/(-6)))*-128. Which is the nearest to -2? (a) 4 (b) -1\/4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 90663635?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - -32038a7?\nAnswer: 32038ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 + 6 = -4*o + 3*l, 68*o - 5862 + 5589 = -l for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 111*c - 111*c + 1 + 5*c**4 - 21*c**3 + (-c**2 + 6*c**2 - 3*c**2)*(2*c**2 + 2*c**2 - 5*c**2).\nAnswer: 3*c**4 - 21*c**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -125\/364 + 4\/13. Let d = 79\/140 - w. Factor -6\/5*k**2 + 0*k - d*k**3 + 0 + 3\/5*k**4.\nAnswer: 3*k**2*(k - 2)*(k + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, d: 1, j: 7}. What is prob of picking 1 j, 1 d, and 2 t?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.989 + 0.089. Let l = -0.1 + s. Let c = 345 + -2419\/7. What is the closest to 0 in l, -2\/9, c?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1629?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6529485 and 6365.\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -17743803, -35487600, -53231397, -70975194, -88718991, -106462788?\n\"Answer: -17743797*q - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 180 is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-379)\/(-6) - (-2)\/3. Let d = k + -64. Let m(h) = 2*h + 6. Let w be m(-4). Which is the smallest value? (a) d (b) -0.1 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 - 1. Let q(a) = 5*a**2 + 6. Let d be (4\/(-3))\/((-4)\/18). Calculate d*o(c) + q(c).\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*m**2 - 5*m**2 - 160*m**3 + 5*m**2 + 157*m**3.\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 796 and 4?\nAnswer: 796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 337 is divided by 215.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 2*d + 8, -w - d = -2*w - 3. Let j be w*(-2 - -2) + 4. Suppose -j*g = -9*g. Solve -o + g = 2 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 378.241479 minutes?\nAnswer: 0.03752395625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16\/757 - -30712\/20439. What is the common denominator of l and -29\/21?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yky when three letters picked without replacement from dygkkgkyggkgy.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3558739 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 295400 is divided by 41?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24, -35, -70, -141, -260, -439, -690, -1025?\nAnswer: -1456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6 + -4)*(-1)\/(-1). Let t(i) = 6*i - 7. Let s be t(2). Solve b*v = 3*o - 11 - 3, 18 = -o - s*v for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 217953872*r**6 - 67*r**2 - 700*r - 342 wrt r?\nAnswer: 26154464640*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 8 + 4. Let f(k) = -k**3 + 3*k**2. Let y be f(o). Which is the second biggest value? (a) y (b) -3 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55090874?\nAnswer: 2, 27545437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26790 - 26786. Let n = 7 + -13. Does 10 divide 0 - 308\/(-8) - n\/y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 28.4 + -28.106. What is b rounded to 1 dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.86113 decades in millennia?\nAnswer: 0.1986113","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of 3*j + 1\/3*j**3 - 6 - 2*j**2. Let u be a(4). Solve u = 4*i + 7 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/(1*sqrt(5)) + 4 - ((-6*sqrt(96) + sqrt(24))\/sqrt(12))**2.\nAnswer: -238 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 273159?\nAnswer: 3, 67, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 161 + -149. Suppose -12*h + s = -9*h. Solve 2*l - 18 = -h*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 4618015728*z - 4618015708*z + 1.\nAnswer: 20*z + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 22 - 100?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 497*t - 72 = 479*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -39 * 142.\nAnswer: -5538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.0615 - -276\nAnswer: 275.9385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/6 + 181\/3. Let y(s) = -s**2. Let q be y(0). Suppose 2*v = -d + 25, -3*v = -3*d - q*v + 30. What is the highest common divisor of d and o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -26787, -26788, -26789, -26790, -26791?\n\"Answer: -x - 26786","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1332645 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1*(-2)\/(-10))\/(116\/725). What is the second biggest value in 3, s, -1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/6 - 2\/(-4). List the prime factors of 15\/10*(6 - q).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 414291804?\nAnswer: 2, 3, 1459, 23663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-54 - (-59 - 46)) + 37.\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85 = 5*x + 5*c, -52025 = -2*x + 3*c - 52054 for x.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 28 and (-786)\/(-14) - (5 - 204\/42).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -201110002 + 1011?\nAnswer: -201101221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61968136?\nAnswer: 2, 7746017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 4 = -3*c. Suppose -36 = -4*f - c*k, 6*f - f + 4*k = 51. Calculate the remainder when (-27)\/(-2) + (-1)\/2 is divided by f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*y**4\/8 - 313*y**3\/8 + 1079*y**2\/8 - 1167*y\/8 + 189\/4 = 0 for y.\nAnswer: 14\/23, 1, 3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.90476 to 1 decimal place.\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 13*k**2 + 249*k + 44. Give z(-19).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/2))**(-8)\/((((k**9*k)\/k)\/k)\/k**(-3)) assuming k is positive.\nAnswer: k**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29181 + 13676 = -3*z + 49388. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 23 = -12. Let l(g) = g**2 - 4*g - 1. Is l(q) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/1294, 46, -4, -2, -1\/3, -5 in ascending order.\nAnswer: -5, -4, -2, -1\/3, -3\/1294, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/5))**(-1\/63)\/((o\/o**(-2\/17))\/o**3) assuming o is positive.\nAnswer: o**(10046\/5355)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -7 + -237 + 2\/2*-3. Let d = -156 - n. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 1133*h + 625. Let o be d(-11). What is o rounded to the nearest 1000?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide (3\/2)\/(3\/44)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -8, 0.2, -263, -0.4, 4\/3, 1333, -0.3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 281498 is divided by 39502.\nAnswer: 4984","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 504758 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -327186 divided by 128.\nAnswer: -163593\/64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 41.47206mg?\nAnswer: 0.04147206","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 11 = u - p, 40 = 4*u - 5*p. What is the greatest common divisor of u and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-6))\/((580\/(-20))\/29)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 16 = 4*y, 5*y - 40 = 8*j - 9*j. Suppose y*t - 271 = 8. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -577\/4088 - 1\/584. Sort -0.06, h, -0.4, 7 in descending order.\nAnswer: 7, -0.06, h, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bjjbjjjjjb. Give prob of picking 3 j.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*y = -8*y - 15 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 + -14.4. What is the fourth biggest value in -0.2, s, 5, -1\/7?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*b**2 + 51 + 20 - 2*b**2 + 13 + 2*b**2.\nAnswer: 6*b**2 + 84","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -5*z - 1. Let b be g(-2). Suppose 3*r - 33 = -3*c, 5*r - 2*r = -c + b. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2.09 (b) -2\/7 (c) -3 (d) 3145\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (966\/4)\/7*1244706\/153 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 339 divided by 2\nAnswer: 339\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3, 4, 7, 12?\n\"Answer: r**2 - 2*r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 3 + f - 2 + 2. Let x = 0 - 3. What is z(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-10)\/(-15))\/(1\/3). Let f = x - 0. Suppose -f*y + 5 = -o, y = -0*y + 5*o - 2. What is the remainder when 4 is divided by y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -14, -3, 3\/2, 3, 2.52?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 20*z**2 - 98*z - 19. Let w(q) = 27*q**2 - 97*q - 26. What is -4*t(b) + 3*w(b)?\nAnswer: b**2 + 101*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2078106, -2078104, -2078106, -2078112, -2078122?\nAnswer: -2078136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 + 4*l**2 - 5*l - 10. Suppose -6 = -2*v - 0. Suppose 5*y + 8 = 3*h, 0*h - v*y + 2 = 5*h. Calculate the least common multiple of w(-4) and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19867609?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -178774158*b**2*g**3 - 1164*b**2*g - 4*b**2 + 6*b*g**2 - 2*b - 42*g**2 wrt g?\nAnswer: -1072644948*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -h - 2, 3*h - 4 = d - 20. Solve u - 15 = -3*c, 6*u - d = 2*c + 3*u for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68377 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22528, -45154, -67782, -90412?\nAnswer: -113044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 3*y - 39 = 0, 2*y = -3*t + 1319 - 1325 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 + -7. What is the remainder when a is divided by ((-12)\/20)\/((-2)\/10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 9*h**2*i - 8*h**2 - 9046*h*i**3 + 108*h + 48 wrt i.\nAnswer: 9*h**2 - 27138*h*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 55352 a multiple of 88?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 587 (b) 5 (c) 16 (d) 0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, -37\/114 in descending order.\nAnswer: 3, -37\/114, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together 28.8 and 8152954339.\nAnswer: 8152954367.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.1 + -1.154. Let k = 0.346 - a. Let l = -0.3 + 0.1. What is the nearest to l in k, -0.1, 2\/11?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*((-4)\/22 + (-18)\/22). Sort -3, z, -5.\nAnswer: -5, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -10*o**2. Let j(d) = 5*d**2 - 6. Give j(y(t)).\nAnswer: 500*t**4 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**3 + 2*m**3 + 0*m**3 + (2*m**2 + 0*m**2 - m**2)*(2*m - 4*m + m))*(-18 + 10 - 43).\nAnswer: -51*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.2, 2\/3, -4, -628?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 4*a. Let i(c) = -28*c. Let k = -81 - -101. Let v(x) = k*h(x) + 3*i(x). Let q be 1\/(-4) + 17\/4. Give v(q).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3123785923?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(324)*-3 - (sqrt(108) + -2*sqrt(108))\/sqrt(12))\/(2*sqrt(147)*6 - sqrt(147) - -1*1*sqrt(147)))**2 + -3 + 0.\nAnswer: -6767\/2352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 25774823 divided by 888787\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 220 and 119196.\nAnswer: 595980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 = 5*o + 2*a, -a - 60 = o - 5*o. What is the units digit of (0 - -33)*o\/24?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -5*d - 8. Let a be g(10). Let y = a - -123. Suppose -y = -3*m - 2*m - 5*u, -u = 2. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 50541, 203245, 457737, 814011, 1272061, 1831881?\nAnswer: 2493465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 60\/(-2) - (-416)\/((-1067040)\/(-77895)).\nAnswer: 7\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of -48*r - 7\/24*r**4 - 3*r**3 + 0 + 1\/60*r**5 - 2*r**2. Factor q(k).\nAnswer: (k - 9)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3\/5, -0.1, -9\/10, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 5 - 7 - 5 - 46*l + 74*l**2.\nAnswer: 74*l**2 - 46*l - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -106 + 107. Put -0.5, -2\/3, q in decreasing order.\nAnswer: q, -0.5, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*u**3 - 2*u**3 - u**3 + (299*u - 299*u + 24*u**2)*(-5*u + 0*u + 3*u) - u**3 - 4*u**3 - 3*u**3 to p*u**2 + s*u**3 + n + o*u and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 6 = -3*d - 13, 2*p + 5*d = -5. Let w = 5451 - 1614. Suppose 3*t = -r - 68009, -5*t + 343822 - w = -p*r. What is r rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17843?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 219574, 439161, 658748, 878335?\nAnswer: 1097922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + 7 - (12 - 5)) + -4 + -3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 44\/9 + -4. Put l, 0.04, -1\/6 in increasing order.\nAnswer: -1\/6, 0.04, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 161694890 to the nearest one hundred thousand.\nAnswer: 161700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + -507?\nAnswer: -506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*i = -21*i - 3 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2319347705?\nAnswer: 5, 14891, 31151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -246, -439, -584, -681, -730?\n\"Answer: 24*g**2 - 265*g - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 11) to base 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 - 4 - 2*x**2 - 4 - x + 2. Let c(i) = i**2 + i + 6. Let w(f) = 2*a(f) + 3*c(f). Let v be 1\/4 + (-4)\/16. Give w(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 2*w**2 + 7*w - 1. Let r(i) = -8*i**2 - 15*i + 1. Let l(n) = r(n) + 2*y(n). Let f(d) = 2*d - d**2 - 1 - 2*d. Give -2*f(q) + l(q).\nAnswer: -2*q**2 - q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121*f = 133*f - 14 - 202 for f.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 331540 (base 6) to base 11.\nAnswer: 19844","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 + 11*p**2 - 4*p - 9. Is h(7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 - 11*p**2 + 16*p + 3. Let r(o) = 7*o + 1. Let u be r(-2). Is b(u) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 54597 * 3\nAnswer: 163791","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 9:41 AM?\nAnswer: 7:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 18\/5 of a kilogram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -843 (base 14) in base 4?\nAnswer: -121123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 36940 to the nearest one thousand.\nAnswer: 37000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 1 - 6, 268 = -4*m + 4*w. Let j be (-5)\/(15\/(-24))*(-45)\/m. Solve j*s + 14 = -2*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 0*t = -5*p + 25, 3*p + 11 = 4*t for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.04 and -57?\nAnswer: -59.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 556 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 1 + (2 - 4 + 4)*(0 + 2 - 4))*(0 + 1 + 0)*(4*n - 8*n - 8*n).\nAnswer: 72*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -554, -508, -460, -410?\n\"Answer: t**2 + 43*t - 598","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -5 - ((-5 - -8) + -14)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3475244346 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 2*x = -15. Let c be x*4\/12*3. Suppose 4*j + 27 = c*r, -24 = 4*r - 7*r + 3*j. Sort 1, -5, r in descending order.\nAnswer: r, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -3\/5 (b) 0.4 (c) -6\/29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-64)\/12)\/(-4) + 70\/15. Let p(f) = -f**2 + 5*f + 12. Let s be p(t). What is the greatest common divisor of 138 and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + (-2)\/2 + 7. Let f = l - 3. Find x, given that f*x**2 + 0*x - 2 - 2*x**3 + 0*x**2 + 2*x = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 70014 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, v: 15}. Give prob of picking 2 c.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7614 - -0.09.\nAnswer: -7613.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 116*r - 34*r + 133*r + 160*r.\nAnswer: 375*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (5 + (sqrt(405) - (1 + (-1 + sqrt(405))**2)) + sqrt(405)*-1 + 5)*1.\nAnswer: -393 + 18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.6674 - -0.1674. Which is the second smallest value? (a) 1\/4 (b) 1\/7 (c) -1 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 22 = 5*q, -16*b = -7*q + 11*q - 36 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 4*r + 7 + 12 = 0, -4*r = -12. Suppose -2*g + h*g = 20. Suppose -5*m = 10, m - 3 = -g*q + 11. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.7+315.5386\nAnswer: 314.8386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 30*a + 442. Let z be -2 + 96 + -2 - 0. Suppose 5*o = 13 + z. What is the remainder when p(-12) is divided by o?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 293 - 292. Are g and 69 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 79*f**2 - 28*f + 28. List the prime factors of u(8).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17 and 62747?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 427, 417, 395, 355, 291?\n\"Answer: -y**3 - 3*y + 431","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-32)\/(-5) - 21\/(-35). Let u(m) = -m**2 + 8*m - 5. Let q be u(i). Suppose -q*k = 3*k - 60. Does 6 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y**5\/3 - y**4 - y**3\/3 + y**2 + 2*y\/3 = 0 for y.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - 8. Let w = 8.97 + -9. Let x = 0.13 + w. Which is the closest to x? (a) 5 (b) 4 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13930994804281\/22295988 + 357394421\/572. Let s = d - 1\/4331. Find the common denominator of s and 113\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in eleven quarters of a gram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 44*v - 876. Let o be k(20). Let u(c) be the third derivative of 0*c + 0*c**3 + 5*c**2 + 0*c**o + 0 - 13\/30*c**5. Let h(f) = -2*f**2. What is h(u(z))?\nAnswer: -1352*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - 0) + -3 - 10?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-36)\/(-27) + 11\/12*(-4)\/(-22). Which is the nearest to -1? (a) w (b) 1\/6 (c) -4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z + 15. Let s be g(11). Suppose 0 = -s*f + 125 + 767. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(f\/f**(-9\/7)*f))\/(f\/(f\/f**6))*f**3*(f\/(((f*(f*f*f\/(f**9*f))\/f)\/f)\/f))\/f*f assuming f is positive.\nAnswer: f**(40\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 - m + 1. Let f be (-62)\/(-22) - 2\/(-11). Let a(h) = -3*h**2 + h**3 + 4*h - 4*h + 3. Let z be a(f). Calculate x(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1144025 (base 9) to base 15.\nAnswer: -c3918","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + v = 6. Suppose -v*h = 4*i + 1, 4*h = 1 - 13. Solve i*c = -c - 9 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j + 14. Let y be r(14). Suppose -2*s = l - 7, 4*s - s + 5*l + 7 = y. Sort -5, s, 3 in descending order.\nAnswer: s, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 4*s - 8 - 36 = 0, 2*s = 3*z + 62. Let h = -10 - z. Suppose 48 = 4*f - g - 3*g, 3*g = f - 16. Calculate the highest common factor of f and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 + -4 + 5 - 62. Let l = d - -129. What is the highest common divisor of l and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 6\/3035 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + f - 8 = 0. Suppose 22 = f*l - 14. What is the remainder when l is divided by (-25)\/10*(-1 - 3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 380 + -379.98. Which is the nearest to 0? (a) -5 (b) l (c) 0 (d) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 PM and 10:47 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-8)\/48)\/((-10)\/780))\/(1*-1)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 PM and 6:47 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 4 - 8. Suppose c - 4*u - 13 = 0, c + 9 = -2*c - 4*u. Calculate the remainder when 2 + (-4 + c)*w is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 410*a + 239*a = -5841 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55668 divided by 4.\nAnswer: -13917","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 430867399?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(70\/(-24)))\/((2553\/115)\/(-37))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 5255, 5269, 5283?\n\"Answer: 14*x + 5241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.312*-9746\nAnswer: 3040.752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 404 and 41212?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1888 and 224544?\nAnswer: 13248096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*u + 264 - 264.\nAnswer: 7*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*j**3 - 34963602*j**2 + 17060*j + 37 wrt j?\nAnswer: 24*j - 69927204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13127304, -26254592, -39381880, -52509168?\nAnswer: -65636456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (25\/(-15) - -3)\/(114\/(-27) + 4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (3 + (sqrt(980) - -2*sqrt(980)))**2 + ((sqrt(240)*2)\/sqrt(12) - (4*(1 + sqrt(20)))**2).\nAnswer: 192*sqrt(5) + 8492","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -13510 and -3415.\nAnswer: 46136650","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2670 + -2634. Calculate the remainder when 1437 is divided by p.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of 0*r + 0*r**6 - 22\/7*r**7 + 0*r**2 + 0*r**4 + 32 - 10\/3*r**3 + 0*r**5. Find the third derivative of i(w) wrt w.\nAnswer: -2640*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 9:50 AM?\nAnswer: 12:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00859458 rounded to 3 decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 3 (b) 11 (c) -4 (d) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-6))\/(203\/(-12180))*((-84)\/5)\/(-6)?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1779519185 to the power of 1\/3, to the nearest integer?\nAnswer: 1212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 45.356 rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11388.743 - -11381. Let w = 6.25 - -1.45. Let b = p + w. Round b to two decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of 0*u**5 - 4*u**2 + 0*u + 0 - 1\/2*u**3 + 2\/105*u**7 + 0*u**6 + 0*u**4. Find the first derivative of l(s) wrt s.\nAnswer: 16*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -95267192*a**2 - 669302424*a wrt a?\nAnswer: -190534384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 161 + 5?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1275872489 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 7 (b) 0.4 (c) -0.52 (d) 0.012 (e) 0 (f) -0.16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*5351.7686\nAnswer: -1070.35372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 260 divided by -400\nAnswer: -13\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**3\/2 + 70*z**2.\nAnswer: -5*z**2*(z - 28)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3\/4 + 390*l**2 + 202800*l + 35152000.\nAnswer: (l + 520)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 301*c**2 - 192*c**2 - 110*c**2.\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -1352*o**2 + 6*o + 1. Let m(z) = 5408*z**2 - 26*z - 5. Determine 3*m(w) + 13*n(w).\nAnswer: -1352*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 9 + 8*x)*(-1 + 0 - 1) + (6 - 5*x - 6)*(-2 + 4 - 1 + (2 - 1 - 3)*(-2 + 0 + 0) - 2 + 6 - 3).\nAnswer: -46*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 + 6*r + 5. Let m be b(-3). Let k be (-64)\/14 + 1 - m. Is k at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366421275 divided by 165?\nAnswer: 2220735","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0*(-3 - 20\/(-5))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-22 - -4) + 1 - (-196 - -186)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1\/90 - 38\/45. Which is the nearest to -1? (a) -0.4 (b) -0.5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22326*j**3 + 22323*j**3 + 22320*j**3 - 111126*j**3 + 21837*j**3 + 22318*j**3.\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/3504267 and -55\/234.\nAnswer: 7008534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 255*c - 2234 + 194 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 764 is divided by 350?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 + -34. Let t be 671\/132 + (-3)\/o. Factor -3\/4*h**3 + 9\/4 + 15\/4*h**2 - t*h.\nAnswer: -3*(h - 3)*(h - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 2*r**2. Let x = -9 - -23. Let y be 0\/(0 + -2) + x. Let j(g) = -y + 7*g + 14. What is j(f(d))?\nAnswer: 14*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -11430137 (base 8) in base 12?\nAnswer: -a08427","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2376 is divided by 768.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 3:34 PM?\nAnswer: 5:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9176765.\nAnswer: 5, 13, 141181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/((-17)\/(102\/12)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 59.019 - 59. Let j = f - 0.019. Let d = -2.59 - -3.79. Which is the nearest to j? (a) d (b) 2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2302314 (base 7) to base 4.\nAnswer: -1011331203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28*z**2 - 12*z**2 + 16*z**2)*(z**3 - 2*z**3 - 3*z**3) - 9*z**5 - z**5 + 2*z**5.\nAnswer: -136*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mesm when four letters picked without replacement from {e: 1, s: 1, v: 1, b: 1, m: 3}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/7, -6\/17, 5, 1, 1\/10 in descending order.\nAnswer: 5, 1, 3\/7, 1\/10, -6\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 68432 and 42224.\nAnswer: 1984528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qvvv when four letters picked without replacement from {q: 1, v: 7}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d + 8 = 5*d - 4*h, -8 = 3*d - 4*h. Which is the nearest to 102? (a) 0.4 (b) 4\/7 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 2*r**2 + 2545*r + 447118. What is k(-1062)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, -23, -100, -269, -566, -1027, -1688?\nAnswer: -2585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84925341 is divided by 172.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((4 - 0 - 9) + 17 - 9) + 27?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 129110 and 1265278.\nAnswer: 6326390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 5788, 6098, 6408?\n\"Answer: 310*q + 5478","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -5*v**2 - 3*v - 1. Let k be (-10)\/(-35)*7*(-5 - -4). Determine o(k).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 244 (b) 1 (c) 0.3 (d) 3 (e) -3\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-24)*x)**(8\/5))**(1\/4) assuming x is positive.\nAnswer: x**(-46\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - 2*(sqrt(17) + 1)) + 1 + (sqrt(204)\/(-2*sqrt(300)))**2 + 2.\nAnswer: -sqrt(17) + 117\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -c - 570, 5*h + 0*c - 712 = c. Let m = -76 + h. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 484 + -238. Is 41 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 2464 + 55 = 0. Suppose d + 9 - 4 = 0, 0 = -c - 2*d. Suppose c*m - 9687 = w. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 8*v. Suppose v = -p + 3*n - 12, 5*p + 10 + 10 = 5*n. Solve 5*f = x + 23, p*f = 3*x - 3*f + 21 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/113 (b) 181 (c) 2\/13 (d) -11\/5 (e) -0.026\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of m**4\/6 + m**3 + 2*m + 52. Let u(o) = -o**2. What is u(i(j))?\nAnswer: -4*j**4 - 24*j**3 - 36*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1178 and 114?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.083 times 1.7\nAnswer: -0.1411","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -2, 0 in descending order.\nAnswer: 8, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(405)\/sqrt(36))\/(sqrt(108)\/(sqrt(72)\/sqrt(6))).\nAnswer: sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*u + s = -37 - 17, -8*s + 3*s = -15 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a day in minutes?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 11:08 PM?\nAnswer: 5:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -0*n + 62. Suppose -n*c - 1 = -63*c. What is the units digit of 16\/(-4) + c\/(1\/171)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -2\/5, 2\/13, 0.34, 1253\/9?\nAnswer: 0.34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2108, -2115, -2134, -2171, -2232, -2323, -2450, -2619?\n\"Answer: -v**3 - 2107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20.48 - -14.48. Which is the nearest to i? (a) -1 (b) -3 (c) -1\/2 (d) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13059, -26501, -39943, -53385, -66827, -80269?\nAnswer: -93711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lllm when four letters picked without replacement from {l: 3, m: 3, u: 2}.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 + 9*h**2 + 30*h + 4. Determine v(-5).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 75\/4 (b) -2\/5 (c) 2 (d) 4\/3 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of c**8\/420 - c**7\/105 + c**6\/90 - 14*c**3\/3 + 10. Let a(x) be the third derivative of l(x). Find s, given that a(s) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 j when three letters picked without replacement from {i: 4, p: 9, j: 4}?\nAnswer: 27\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**4 - 512*a**2 + 16384.\nAnswer: 4*(a - 8)**2*(a + 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of w**4\/4 - 7*w**3\/3 - 9*w**2\/2 + 6*w - 85. Determine i(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 356026.5 to the nearest one thousand.\nAnswer: 356000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 - 5*v**2 + 5*v - 5. Let m be h(4). Let c = 4 - 24. Is m\/(-2)*4 - c a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of 0 + 11\/6*v**3 + 5*v - 4*v**2 - 17\/12*v**4 + 1\/20*v**5. Suppose g(f) = 0. Calculate f.\nAnswer: 1\/3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the third derivative of 0*v**3 + 0*v**4 - v**2 + 1\/280*v**7 + 1\/40*v**6 + 0*v + 3\/80*v**5 + 0. Factor r(a).\nAnswer: 3*a**2*(a + 1)*(a + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1786140?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - -4. Suppose -3*l - 2*l = -a - 549, 0 = r*l + 4*a - 554. What is the units digit of (-3)\/(-12) - l\/(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*l**2 + 4*l - 58*l**2 + 97*l**2 as t*l**2 + f + g*l and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 2*v**5 - 5934*v**4 - 3126272*v**3 - 385839504*v**2 - 1135723680*v - 753004512 = 0.\nAnswer: -234, -2, -1, 3438","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 292 is divided by 50.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5252, 5024, 4798, 4574, 4352, 4132, 3914?\nAnswer: 3698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 - 10. Suppose 4*p = 2*p - x, 0 = 3*p + s*x + 14. Suppose g - 39 + p = 0. Is g 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 {x: 3, q: 1, z: 1, w: 4, n: 2, r: 4}. Give prob of picking 1 q, 1 z, and 1 n.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7056557?\nAnswer: 7056557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2\/5 + 18474*r\/5 - 1538240.\nAnswer: -2*(r - 8800)*(r - 437)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zn when two letters picked without replacement from znznnn.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4535506393 to the nearest integer?\nAnswer: 67346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 770569 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -102013013 (base 4) to base 7\nAnswer: -426164","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 + (-13 - 0) + (5 - -2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1112111200 (base 3) to base 9\nAnswer: -45450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 57, -2\/9, -1.8, -1, -3\/2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102 = -69*w + 105 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002 take away 165?\nAnswer: -164.998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 5320 + (-17 + 19 - 5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66) + 1*sqrt(66)*6 + sqrt(66) + sqrt(66))\/(-2*sqrt(726)).\nAnswer: -9*sqrt(11)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -6 and 20570.\nAnswer: 20564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 5*q - 1 = -2, l + 3*q + 19 = 0. Let c = 6 + l. Is -1 > c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 3*y - 515, -146 = 4*y - 2*w - 832. What is the greatest common divisor of y and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 42 + 10?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2028 * -588\nAnswer: -1192464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -1.3. Let d = -249 - -235.9. Let f = d - -13. Which is the third smallest value? (a) u (b) -0.4 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 30*f**6 - 4709*f**2 + 3*f + f + 4706*f**2 wrt f?\nAnswer: 3600*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 6*j - 2 = 3*j, -2*k + 2*j = 0. Let f(m) = -k + 7*m**2 - 2*m - 2*m + 2*m + 0*m**2. Calculate the smallest common multiple of f(2) and 14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 820.7914 micrometers to meters.\nAnswer: 0.0008207914","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 0.5 (b) -0.02 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqbqbq. What is prob of picking 3 q and 1 b?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-6)\/(-8))\/1 - (-276)\/16. Solve 0 = 4*i - a + 6 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = -4*y - 57. Let j = y - -48. Does 6 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + -5. Let h be (-1)\/(3 + n\/1). Let k = 1 - h. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 3*f**2 + 0 + 20*f**2 to l*f**2 + n*f + t and give l.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 - 5 = 6*s. Let w be (-246)\/(-510) - s\/34. What is the biggest value in -0.1, w, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-10)*p**(4\/5)*p\/(p*p\/(p**(-1\/12)\/p))*p**10\/p)**13 assuming p is positive.\nAnswer: p**(-1781\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.7 - -15.7. Let a = -15.1 + n. What is the third biggest value in -0.5, a, 0?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 + 14*n - 15. Let y(s) = -5*s + 5. Let r(c) = -2*f(c) - 7*y(c). Let b be r(-5). Calculate the highest common factor of b and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11204 (base 8) in base 12?\nAnswer: -28b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + y + 106, 2*d - 3*y - 53 + 5 = 0. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*f = -13*f - 238 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2954.1 * -15.\nAnswer: 44311.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -32.1 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13015?\nAnswer: 5, 19, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a + 2*a + 44*a**3 + 0*a.\nAnswer: 44*a**3 + 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*x**2 - 25*x**2 - 28*x**2 + 15*x**2 + 3*x**2 + 9*x**2 + 9*x**2.\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o - 5*o + 0*o)*(-2*o + 0*o - 2*o) + 562 - 562 + 5*o**2.\nAnswer: 9*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 283, 1, 3, -1.\nAnswer: -8, -1, 1, 3, 283","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-24)\/(-16))\/(1\/22) - (-229 + 220). Let m = 0.4 + -1.4. Does t = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 0 + sqrt(396) - sqrt(396))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 - 13659\nAnswer: -13659.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -940 + 1962 - 1022 + 262*k**2 to i*k + v*k**2 + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 24937, 3, 0, 16 in decreasing order.\nAnswer: 24937, 16, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -7. Suppose 2*r - 6 = -r - 4*c, 2*r + o*c = -3. Let x(p) = p**2 + 85*p - 837. Let q be x(-94). Calculate the greatest common divisor of r and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 6. Suppose -u*z + 2 - 1 = -2*f, 3*z - 27 = -f. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(22)\/(sqrt(110)\/sqrt(90)) - (sqrt(126)\/sqrt(112))\/sqrt(9)) + 0)**2.\nAnswer: 121\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -56, -493, -1328, -2585, -4288, -6461, -9128?\nAnswer: -12313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 s when three letters picked without replacement from {v: 1, u: 2, m: 6, h: 1, s: 4, y: 4}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 AM and 11:45 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sbbbbobobqoooobsooo. Give prob of picking 1 b and 1 q.\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**2 + 198*s - 744.\nAnswer: -3*(s - 62)*(s - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 3\/5, 0.2 in descending order.\nAnswer: 3\/5, 0.2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + -111001101?\nAnswer: -111001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 75744 divided by -18936.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7787 or 7786?\nAnswer: 7787","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4042 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7211.4 - -7212. Which is greater: i or -215?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9505 (base 14) to base 13\nAnswer: -b8c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 + 10*r**2 - 9*r + 1. Let c be p(9). Solve 3*q - c = 2 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*m**2 - 27*m**3 - 16*m**2.\nAnswer: -27*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 5\/2, 0.4, 3509.8, 1\/2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 4 = -5*j - 17, 0 = -3*n - 2*j + 60. Solve 5*k - 2*h + 17 = 0, 2*k + 5*h - 3*h = -n for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4775 divided by -23.\nAnswer: 4775\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21406706 (base 8) to base 13.\nAnswer: -c498c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of -2*w + 0 - 1\/12*w**4 - w**2 - 5\/6*w**3. Let n(c) = -2*c**2 - 11*c - 5. Let b(h) = 5*g(h) - 2*n(h). What is b(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dk when two letters picked without replacement from {k: 4, d: 2, o: 3}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2*n + 2. Suppose -2 = l + 3*l + 3*w, l = -3*w + 4. Let f be z(l). What is the tens digit of (1\/f)\/(4\/(-112))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 67824 and 185904?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36 - 24) + 6 - (-1 - (-112 + 6))?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 49 + -50. Suppose 0 = 3*g - 8 - 7. Which is the nearest to 1? (a) 0.2 (b) s (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 26, 0.4, 12, -2677, 1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l + 43. Calculate the remainder when 48 is divided by w(-13).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 greater than -4173\/686?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (-410)\/(-123) - (-1324203)\/9 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 51655, 104713, 157771?\n\"Answer: 53058*j - 1403","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 8*b. Let w(f) = 20*f. Let u(m) = 12*i(m) - 5*w(m). Suppose 9 - 30 = 21*v. Is u(v) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of 8*o + 2\/3*o**3 + 0 - 7*o**2. Calculate the remainder when 75 is divided by m(10).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (9*-2)\/(12 - 14). Suppose 0 = -3*p + n*p - 42. What is the remainder when 8 is divided by p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 + 18*h - 6. Give c(10).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 588.845 minutes to microseconds.\nAnswer: 35330700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -4402151.55 to the nearest 1000.\nAnswer: -4402000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42620, 25672, 8712, -8266, -25268?\nAnswer: -42300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -10*z**3 + z**2 - 3*z + 4. Let j be c(2). Does 89 divide 5391\/(-12)*208\/j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1 and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 10*x**4 - 10*x**2 - x. Suppose 26 = n + 25. Let z(p) = -p**2 + p. Let d(o) = n*f(o) + z(o). What is the third derivative of d(h) wrt h?\nAnswer: 240*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8242 - -1?\nAnswer: 8243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12? (a) -25 (b) 1508 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -51, 4, 123, -1, 37 in decreasing order.\nAnswer: 123, 37, 4, 1, -1, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -44780882\/27 smaller than -1658551?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 867391?\nAnswer: 7, 17, 37, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, o: 1, u: 1, b: 1, f: 2, s: 2}. What is prob of sequence ots?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 7 (b) 0.3 (c) 47\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 103950 - 103936. Let l = 15 + -7. What is the lowest common multiple of l and n?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6437514 to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 235661686 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 AM and 12:16 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19a36 (base 13) to base 3.\nAnswer: 2112200102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h**(4\/9)*h)*h)\/(h\/(h**3*h*h)) assuming h is positive.\nAnswer: h**(41\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z**2 - z**2 - z**2 + (3 + 0 - 5)*(-23 + 10*z + 23)*(-30*z + 102*z + 264*z) to s*z + m + q*z**2 and give q.\nAnswer: -6721","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -2*o + 25. Let k be c(12). Calculate the greatest common divisor of 32 and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-1) - 1 - 1. Suppose q - 5*q = d. Suppose 0 = 3*o + 4*m - 1 - 24, q = -o - 2*m + 9. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4489, -4483, -4473, -4459?\nAnswer: -4441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 301?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -25*l + 1. Let v be a(-3). Let c = -76 + v. Solve c = 3*s - s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 AM and 6:12 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1885 is divided by 63?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + r = 2, 0*r + r + 4 = 2*v. Let c be (0\/(-1))\/(v - 0). Suppose c + 8 = 4*p. Solve 5*n - p*o = -6, 0 = 7*n - 2*n - 4*o + 2 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -2*h**2 - 38*h + 48. Suppose -4*i = t + 20, -2*t + 16*i - 11*i - 40 = 0. What is the least common multiple of 5 and z(t)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -145207, -290412, -435617?\nAnswer: -580822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 66\/773 - 38931\/483125. Which is bigger: -1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -352 - 33123?\nAnswer: -33505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - (-11 + (-8 + 0 - -12))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3*-1*32\/(-24). Solve 7 = -p*s + 3 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 4*s - 2 = 0, s = c + 6*s + 47. Let b be (-4)\/1 - 66\/c. Is 1031 + (5\/(-20) - b\/4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 9225.853 minutes?\nAnswer: 553551180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - 3) + 139 + -3. Suppose -2*p + 270 = 2*w + 3*w, -p = 2*w - 108. Calculate the greatest common divisor of w and j.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1256 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*b*c**3 + 21206*b*c**2 - 70*b + 409*c**5 + 456*c**3 - 2*c wrt c.\nAnswer: -18*b + 24540*c**2 + 2736","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 0.007435563.\nAnswer: -0.007435563","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the first derivative of -8*c**3\/3 - c**2 + 2*c - 2537. Determine w(-3).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 2*f**2 - 10. Let i(m) be the third derivative of -m**4\/12 - 15*m**2. Calculate i(b(o)).\nAnswer: -4*o**2 + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 66318726 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 121908*k**2*z + 2197110*k**2 - 54*k*z with respect to z.\nAnswer: 121908*k**2 - 54*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-7\/4)*k*k)\/(k**(-2\/47)\/k))**(-14) assuming k is positive.\nAnswer: k**(-1701\/94)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(1\/24)\/m*m*m)\/(m*m**6*m*m))**(-1\/4) assuming m is positive.\nAnswer: m**(191\/96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, f: 2, d: 4, a: 2}. Give prob of picking 2 d and 2 g.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, 4, -22817 in increasing order.\nAnswer: -22817, -5, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u + 5 = 10*u. Solve 0 = 4*a + 2*g - 4*g - 6, a = -u*g + 7 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 6:13 AM?\nAnswer: 5:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -69\/11 + 70\/11. Sort u, -0.3, 4, -1\/9.\nAnswer: -0.3, -1\/9, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/(-2) - 5*-5. Suppose 0 = -2*g - 2*r + w, r - 2 = -6. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39 - 49 - -37 - (-66 - -3).\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -14*r - 7. Let l(s) = 13*s + 6. Let i = -64 - -57. Let p(u) = i*l(u) - 6*g(u). Let q(k) = -k. Calculate p(q(m)).\nAnswer: 7*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*k**2 - 2*k**5 + 5*k**2 + (-3*k**4 + 5*k**4 - 3*k**4)*(k + 2*k - k) + (0*k + 2*k + 0*k)*(10*k**4 - 21*k**4 - 14*k**4) + 0*k**5 + 2*k**5 - 4*k**5.\nAnswer: -56*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from pppppmpmpppmpppppp.\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*s + 99 = -2*t - 1231, -3*s - 145 - 89 = -3*t - 51 for s.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 5*k + 12. Let n be l(-2). Let j(t) = -t**2 + 3*t - 3. Give j(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8446 and 164?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -661*u = -662*u + 1, -4*g - 12 = 4*u for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 8*h**3\/3 + 29*h**2\/3 - 184*h\/3 - 140 = 0.\nAnswer: -6, -2, 35\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 79*w**5 - 2*w**4 + 15*w**3 + 7398*w**2 + 3*w.\nAnswer: 4740*w**2 - 48*w + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1386)\/(-7623))\/(4\/1430).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, 10, 9 in decreasing order.\nAnswer: 10, 9, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -5*m + 72. Let z be v(14). Let a(j) be the third derivative of 0 - 6*j**z + 0*j + 0*j**4 + 0*j**3 - 2\/15*j**5. Let w(i) = -i**2. Determine a(w(k)).\nAnswer: -8*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*c**3*o*t - 18542*c**3*t - c**3 + c**2*t + 3*c*o*t - 627061*c*o + c*t + 8*c + 3 with respect to o.\nAnswer: -2*c**3*t + 3*c*t - 627061*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 83329?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -0.027 (b) 3 (c) -2 (d) -3\/4 (e) -1\/11 (f) 2\/27\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o**2 - 2*o**2 + 5*o**2)*(o - o - 3*o**2) + o**4 + 1 - 1.\nAnswer: -8*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 930 + -925. Suppose i + 2*k = -5, 0*k = -5*i - 3*k + 10. Solve -4*t = -5*p - 6, n*p + i*t - 28 = p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-18) + 1617\/(-198) - (56 + -16).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 442746 + -4057451.9\nAnswer: -3614705.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 742 (base 8) to base 6\nAnswer: 2122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 53006421 and 2691?\nAnswer: 897","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of -2*u**3\/15 + 8*u**2\/5 - 32*u\/5 - 14. Factor s(j).\nAnswer: -2*(j - 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18187, -17939, -17205, -15745, -13319, -9687, -4609?\nAnswer: 2155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -5 and 25509957307.71.\nAnswer: 25509957302.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 8 + (9 + 1 - 2).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zezennnzzlzznzznnlz. What is prob of sequence ln?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*g**2 - 1231734 + 1231734.\nAnswer: -8*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 66.69 rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k + 28. Determine q(35).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w**(-1\/3)*w)*w*w**1*w*w*w)\/(((w*w**(2\/9))\/w)\/w*w)**(-26)*((((w\/(w**(1\/7)*w)*w)\/w)\/w)\/w**(-3\/13))**(10\/11) assuming w is positive.\nAnswer: w**(92630\/9009)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-326)\/(-3))\/((-1)\/(-6)). Suppose -39*p + 12 = -33*p. Suppose 2*l = -p*l + m. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2*x**2 + 2*x. Let t be l(-3). Suppose 0 = 4*h - 5*d - 18, -4*h + d = -d - t. Solve 2*j + 11 = -5*a, 2 = j - h*a - 6 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6014?\nAnswer: 2, 31, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 13*c - 9. Let j(r) = r**3 - 6*r**2 + 4*r - 18. Let m be j(6). Let b(s) be the first derivative of -7*s**2\/2 + 5*s + 4. Determine m*u(i) + 11*b(i).\nAnswer: i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -10010110111000100 (base 2) to base 16\nAnswer: -12dc4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -80, -158, -234, -308, -380?\nAnswer: -450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddldsddsdddldldl. What is prob of sequence dl?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -30321 (base 4) in base 15?\nAnswer: -3a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -522 - -567.1. Let m = j + -45. What is the nearest to 1 in -0.1, 1, m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -78894*g - 236678. Give p(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1273719.\nAnswer: 3, 424573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**1\/g)**(5\/11)\/(g**(1\/5)\/(((g**(-1\/2)\/g)\/g)\/g)))\/((g\/g**(1\/4))**(5\/8)\/(g**8\/(g\/((g*g*g\/(g\/g**(-1)))\/g*g*g)))) assuming g is positive.\nAnswer: g**(773\/160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -895 - -1521. Suppose 5*r + j = 3*x, 5*r + 366 = 2*r + 5*x. Let a = -64 - r. What are the prime factors of a?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12735740?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 279599589.\nAnswer: 3, 2791, 11131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 p when two letters picked without replacement from tptpppwtwtjtj?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 2*r + 288 + 293 - 506 = -4*c, 5*r - 10 = 15 for c.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/(-51) + 19325679\/527 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m + 21. Let a be 14*-1*6\/12. Let b be c(a). Solve 0 = -3*n + b - 5 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -536*c - 5713 = -22329 for c.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*j + 181402 = -55*j. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ecl when three letters picked without replacement from {e: 3, l: 8, c: 2, a: 2}.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 68 + -77. Let d = 29 - g. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(125) - -4*2*sqrt(125).\nAnswer: 45*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 33853 + -33679. Suppose -5*g - 3*x - 29 = -207, 3*x - 73 = -2*g. What is the remainder when w is divided by g?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4571 take away 135?\nAnswer: -4706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g, 1 h, and 1 f when four letters picked without replacement from hgfghcg?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 18\/2047, -43, 0.3 in ascending order.\nAnswer: -43, -2, 18\/2047, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*p - 29 + 64*p + 29.\nAnswer: 12*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-26))\/((-43)\/1677)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 4. Let c be -4 - 3*b\/6. Let q = 9 + c. Solve 0 = -3*g - 4*i - 15, q*g - i + 10 = 2*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*q - 28*q - 13*q - 3*q + 0*q + 4*q + (2 + 0 - 4)*(-3 - 2*q + 3) + 0 - q + 0 + q + 0*q + q.\nAnswer: -45*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 582873?\nAnswer: 3, 97, 2003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -42*c + 41*c. Find b, given that 13*b**4 + 4*b**3 - 7*b**4 + 12*b - 3*b**3 - 2*b**5 + 5*b**3 - c*b**2 = 0.\nAnswer: -2, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4133*h - 11*h**2 - 4133*h)*(0 + 3 - 1)*(-2*h**2 - h**2 + 2*h**2).\nAnswer: 22*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.287 + 0.387. Let f(j) = -j - 1. Let l be f(0). What is the closest to i in -0.4, -2, l?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -456, -438, -402, -342, -252, -126?\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-5) - 55\/100*-4. Solve -2 = 2*g - 2*r, r - x = 3 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 - -19. Let b = -279\/77 + 26\/7. What is the nearest to 1\/4 in l, 5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 429088330?\nAnswer: 2, 5, 11, 17, 229459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2*x**3 - 3*x - 3. Let i(l) be the third derivative of 0 - 1\/6*l**3 + 0*l**5 + 1\/120*l**6 + l**2 - 1\/24*l**4 + 0*l. Calculate 3*i(a) - s(a).\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 5, j: 7, s: 1}. What is prob of picking 1 s and 2 b?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -4*m**3 + 6*m**2 - 5. Let p(w) = w**3 - w**2 + 1. Suppose 0 = -2*c + 3 - 7. Determine c*z(d) - 10*p(d).\nAnswer: -2*d**3 - 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 6721, 6684, 6679, 6712, 6789, 6916, 7099, 7344?\n\"Answer: z**3 + 10*z**2 - 74*z + 6784","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 PM and 10:01 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5682 by 6.\nAnswer: 947","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -4099 < -4097?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 0 (b) 5 (c) 3\/2 (d) -0.12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -274545 divided by 6101?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, e: 9, k: 4, j: 2, b: 1}. What is prob of picking 2 e and 1 k?\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(104)\/(6*sqrt(392)).\nAnswer: sqrt(13)\/42 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = i + 3*i + 10, -3*o = -i - 8. Sort 1\/2, 0.3, o, -0.3.\nAnswer: -0.3, 0.3, 1\/2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10875030, -21750061, -32625084, -43500093, -54375082, -65250045?\nAnswer: -76124976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4615 + -4612. Find o such that 1\/2 + 15\/2*o**2 - 13\/2*o**q + 2*o**4 - 7\/2*o = 0.\nAnswer: 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 160 + 28. Suppose 8*f - 228 = 12. Calculate the least common multiple of o and f.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*s - 8*d = -11*d + 84, -s + 2*d + 3 - 7 = 0 for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -4*x + x. Solve b + 4*h + 0 + 12 = 0, -x*h = b + 9 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**34\/j)\/(j*j**(-2\/47))*j**23*((j\/((j**(8\/7)*j)\/j))\/j)\/j*j assuming j is positive.\nAnswer: j**(17733\/329)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/2 and 17\/602?\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -68, 36, 238, 562, 1032, 1672, 2506, 3558?\nAnswer: 4852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 7131.5456 to the nearest 100.\nAnswer: 7100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 9*s**2 + s - 19. Let t(k) = -k**2 + 1. Calculate -6*t(d) - v(d).\nAnswer: -3*d**2 - d + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -7*f. Let v(b) = -9*b + 5. Let j(s) = -3*s + 4. Let p(g) = -5*j(g) + 4*v(g). Determine p(r(o)).\nAnswer: 147*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 167363?\nAnswer: 7, 23909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*o - h = 19*o - 282, -155 = o + 3*h. Let b = o + 668. Calculate the greatest common divisor of b and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 215 + -220. Is 196 - (-1 + l - -11) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 245981579?\nAnswer: 643, 382553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*i - i + 2*i + (4*i - i - i)*(0 - 1 + 5) + 4*i - 2*i - 3*i + (2 - 2 + 2)*(0*i - i - 5*i)*(0 - 6 + 3).\nAnswer: 40*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3405956 to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -3*f**5\/8 - 1839*f**4\/4 - 211851*f**3 - 44271366*f**2 - 3860228046*f - 81319303980 = 0.\nAnswer: -334, -194, -30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14 and 10137109.\nAnswer: 141919526","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.519 rounded to 1 dp?\nAnswer: 5.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 77753 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -574*b + 8 = -570*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 264 = -10*g. Calculate the smallest common multiple of 48 and g.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 1300*h + 13001. What is q(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91)\/(sqrt(14)\/sqrt(2)) + -4)**2.\nAnswer: -8*sqrt(13) + 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2 + 32*l**2 + 38*l**2 + 14*l - l**3 + 35*l**2 - 101*l**2. Is r(-11) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14 and 1792.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 1 = 3. Suppose 0 = l*s + 41 - 9. Sort -5, -1, s in ascending order.\nAnswer: s, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28 times 58\nAnswer: -1624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1991849*t**2 + 639312.\nAnswer: -3983698*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6987492 is divided by 232.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 70.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 0*m**2 + 72*m - m**2 + 79*m + 75*m + 1 - 227*m. Suppose -5*s + 6*s = 2. Give a(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -62461 times -28?\nAnswer: 1748908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -176075 or -176080?\nAnswer: -176075","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -40.2 - -40. Let o = -23462\/3 + 7819. Which is the second biggest value? (a) o (b) 103 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4375875031 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 912650419 a multiple of 808?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 12*n + 13304 = -9*n, -2*b + 26592 = 2*n. Let y = -185989\/14 + b. Find the common denominator of -21\/500 and y.\nAnswer: 3500","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.03? (a) 5 (b) -3\/8 (c) 0 (d) 1\/2 (e) 3145 (f) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*o)*(-58*o + 57*o - 87 + 11).\nAnswer: -2*o**2 - 152*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 146*d + 1. Let v be (2 - (-36)\/(-8))*-2. What is the units digit of m(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28013588 and 12883.\nAnswer: 364176644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142 is divided by 38?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 397*g + 2376 = -2492 - 2278 for g.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0 + 41239*l**4 - l**2 + 2*l**6 + 0 + 432*l - 41137*l**4 wrt l?\nAnswer: 240*l**3 + 2448*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23245 (base 10) in base 6?\nAnswer: 255341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.8 + -1.7. What is the closest to a in 0, -1\/6, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of -l**9\/1512 - l**8\/210 - l**7\/84 - l**6\/90 - 103*l**3\/6 - 55*l. Let w(o) be the second derivative of h(o). Factor w(j).\nAnswer: -2*j**2*(j + 1)**2*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 - 17*z**2 + 9*z + 72. Let h be s(-16). Is h >= -330?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + -18. Let g = 42 + q. What is the remainder when 80 is divided by g?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24897 and 579.\nAnswer: 24897","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 51428219399 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to 16311582?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 - -1549391976?\nAnswer: 1549392083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 16250 divided by 5?\nAnswer: 3250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 = -2*a - l, 519*l = 5*a + 515*l - 53 for a.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 3890*s**2 - 407*s + 2483. Is u(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * 3.08.\nAnswer: -1.232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 111 (base 3) to base 4\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 2*v**2 + 2*v - 1. Let o be s(-3). Let d = -8079 + 8083. Solve -3*u + 3*m = o + 4, -d*m = -2*u - 16 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -158 - -151. What are the prime factors of (-276)\/k + 9\/84*-4?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1267 + 1302.4. Which is the smallest value? (a) 1\/5 (b) -4\/7 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 24 - 40)*(77*l**2 + 35*l**4 - 77*l**2) - 5*l**4 + 3*l**4 + 4*l**4.\nAnswer: -1853*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-204)\/85)\/(3\/50) + -12. What is the closest to g in 1\/3, 1, 0.4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 179372759 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 83708*s + 125057 wrt s.\nAnswer: 83708","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2481610*-2\nAnswer: -4963220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - v = 2*s - 632, 5*s - 1580 = -4*v. What is the hundreds digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 5*o + 78 = 0. Let y = 133 + -131. Suppose 4*h + y*m = o, 4*h + 4*m - 32 = -0*m. Solve -2*w = -0*w + 5*d - 2, h*w - 2*d = -24 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 314221 is divided by 25.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -j**3\/5 + j**2\/5 = 0. Calculate j.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1293*t + 1309*t + 1304*t - 3897*t + 114 to g*t + h and give g.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7294*h**3 + 4252*h**3 - 323*h**3.\nAnswer: -3365*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1021601 (base 9) to base 15.\nAnswer: -abaa4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -74.\nAnswer: -7.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 163966.\nAnswer: 2, 11, 29, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 157, -32, 1 in increasing order.\nAnswer: -32, 1, 157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1515.\nAnswer: 3, 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 divided by -688711.\nAnswer: -28\/688711","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 63361 or 63814?\nAnswer: 63814","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 737643 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-30) + (8 - 8). Let r = -3 + -15. Let j = -18.4 - r. What is the third smallest value in h, j, -0.1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-42)\/28)\/(3\/(-40)). Suppose -16*c = -o*c + 332. Does 12 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22*o - 1483 + 86*o + 615*o - 52*o + 1487 to the form x*o + f and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 - -2. Let i = -8 + 1. Let j = i - u. What is the closest to j in 2\/13, 5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 23 + 7 = 0. Let z = s - -16. Solve 5*j = -z*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 + -12)*3\/2. Let q be 3*(-10)\/s - 5. Let w(t) = 2*t. Let k be w(-2). Put q, k, 4 in decreasing order.\nAnswer: 4, q, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5223836*s - 6224489.\nAnswer: 5223836","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 981354 is divided by 580.\nAnswer: 574","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 357621 is divided by 3459?\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2.6 and -53.01701525036?\nAnswer: 50.41701525036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbvbvco. What is prob of sequence bv?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 46910, 46482, 45372, 43256, 39810?\n\"Answer: -54*z**3 - 17*z**2 + z + 46980","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 54219898 rounded to the nearest 1000000?\nAnswer: 54000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 517\/658*(-36)\/7 - 2*-2?\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 32 and 80?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -6 - 8*y - 17*y**2 - 4*y**3 - 4*y**3 - 5. Let r be -4*(3\/12 + -3). Let s(x) = 3*x**3 + 6*x**2 + 3*x + 4. Determine r*s(h) + 4*f(h).\nAnswer: h**3 - 2*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20736 and 1933056.\nAnswer: 2304","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 638*k - 1 + 2420*k**2 - 331*k**2 + 195*k - 221*k wrt k.\nAnswer: 4178","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -1\/4 (b) 0.3 (c) -0.02 (d) 5\/588 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeyeeeyeyy. Give prob of picking 3 e.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 237583?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is c + -15e?\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 105\/34 + (-300)\/(-4700)*-47\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of -a**3 + 63. Let k(u) be the second derivative of u**3\/2 + u. Calculate k(h(c)).\nAnswer: -9*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17.552 + 17.6. Let p = -0.4 + 0.432. Let w = q + p. Round w to 2 dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40) - sqrt(160)\/(4*sqrt(4)))\/((sqrt(8) - sqrt(8)*3)*6).\nAnswer: -sqrt(5)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 431118849?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 4*z = 478, 4*a - 5*z = -347 + 2343. Is 45 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -418 - -486. Suppose -q - q + 61 = 5*g, 2*q + g = 49. Calculate the remainder when j is divided by q.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46 is divided by (-14 - -12)*14\/(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 50fab (base 16) to base 11\nAnswer: 207228","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17961*z**2 + 3*z - 3*z - 18359*z**2 to the form j + i*z**2 + c*z and give i.\nAnswer: -398","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*h = 47*h - 15*h - 87516. Is 1326 > h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1724677 and 0.0778.\nAnswer: 134179.8706","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -357394982*c - 377070705?\nAnswer: -357394982","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -789868*p**2 - 5553*p + 367?\nAnswer: -1579736","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1938077316 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aagg when four letters picked without replacement from {f: 8, a: 5, g: 5}.\nAnswer: 5\/918","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 128, 258, 390, 524, 660, 798, 938?\n\"Answer: a**2 + 127*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 - 2*z + 2. Let u(c) = -c - 2*c**2 + 2*c - 3 - 7*c + 8*c - c. What is 3*p(r) + 2*u(r)?\nAnswer: -r**2 - 4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**0*y**(4\/5))**(1\/40) assuming y is positive.\nAnswer: y**(1\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90*z - 1152 = -82*z. Is z not equal to -149?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-3\/5))**16)**(-38\/7))**(-19\/6) assuming o is positive.\nAnswer: o**(-5776\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 455\/70 + (-595)\/40 - (1 - 10)\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 + 9*m + 39. Let r be n(12). Let x(t) = 11*t**2 + 0*t**2 + r - 2*t**2 - 5*t**2. Let z(b) = -b**2 - b - 1. Give -x(w) - 2*z(w).\nAnswer: -2*w**2 + 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -10*p**3 - p - 45. Let y(r) = -10*r**3 - r - 45. Let a(g) = -6*d(g) + 5*y(g). What is the first derivative of a(t) wrt t?\nAnswer: 30*t**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 + 15*c. Let r(z) = -7*z. Let n(h) = 3*h + 79. Let s be n(-22). Determine s*r(f) + 6*t(f).\nAnswer: 6*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1026*f**4 + 5*f**2 + 1698?\nAnswer: -4104*f**3 + 10*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(3) - (sqrt(3) - (0 + (sqrt(18)\/sqrt(6) - sqrt(3)))))**2 + -3).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m + 9*m + 8721 - 8721.\nAnswer: 10*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 15.750363 months?\nAnswer: 1.31253025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (120 - 44) + 56 - 18\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 165676?\nAnswer: 2, 7, 61, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 2*r + 12. Let i be r\/(6\/2) + -28. Let h = i - -90. Calculate the remainder when h is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11881 - -13109. What is the remainder when f is divided by 88?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -566, 661, 1888?\n\"Answer: 1227*r - 1793","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 2 - 2)*(86*p**4 - 6456*p + 6456*p) - 14*p + p**2 - 3*p**4 + 14*p + 1 to the form a*p**4 + q*p**2 + f*p**3 + r + n*p and give a.\nAnswer: 169","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.24 and -11.\nAnswer: -11.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 15*f**2 + 8*f - 12. Let n(u) = -5*u**2 - 3*u + 4. Determine 8*n(i) + 3*y(i).\nAnswer: 5*i**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 50*u - 645. Determine l(13).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1024 is divided by 411.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 p, and 2 h when four letters picked without replacement from hphphehhssshhffs.\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + 2ea6b7?\nAnswer: 2ea6b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.11 minus 223780850?\nAnswer: -223780850.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 + 2*j - 2. Let o(q) = 2*q**2 - 6*q + 6. Determine -3*o(k) - 8*t(k).\nAnswer: 2*k**2 + 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 - (-297)\/(-45) - (130896036\/30)\/(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -21 + (13 - (-50 - -16))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -346*a - 7817*a - 632404 + 36505 = 0 for a.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 31273480?\nAnswer: 31273480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(110) + -2*sqrt(110) - sqrt(110) - sqrt(110))\/sqrt(5))\/(sqrt(18)*-3).\nAnswer: -sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.1 + 0.3. Let s = c + 0.6. Let u be -2 + -27*(-6)\/63. What is the closest to s in u, 0.5, -5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z + z - 5*z)*(-4 + 1 + 2)*(-3*z - z + 3*z)*(-2 + 6 - 2)*(-29 + 15 + 16).\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4592 - -42875. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 35196 and 4593 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 2*m, j + 5 - 2 = m. Suppose j*x + 4 = 3*x. Suppose 0*a = -4*a - 2*s + 62, 0 = -4*s - x. Calculate the remainder when 47 is divided by a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 806 - 759. Let k = -79 + 361. What is the highest common divisor of h and k?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/3 + 3771\/27. Let h = -500 + 514. Calculate the greatest common factor of h and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-48)\/(-18) - 2)*3. What is the second derivative of 4*r + 37*r**2 + 19*r + 18*r - 20*r**y wrt r?\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 164*0.0744.\nAnswer: 12.2016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**5 - 2*i**5 + i**5)*(1 + 2 + 5) + 2*i**5 - 4*i**5 + 4*i**5 + (2*i**3 - i**3 - 3*i**3)*(-2*i**2 - 4*i + 4*i).\nAnswer: 14*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 266, 262, 258, 254, 250?\nAnswer: 246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.39 - -0.61. Let k = a - 2. What is the third biggest value in k, 4, 5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 15.13 and 11.\nAnswer: 166.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1772803369 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 55*q**4\/3 - 331*q**3\/9 + 167*q**2\/9 - q\/9 = 0?\nAnswer: 0, 1\/165, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ya when two letters picked without replacement from wwajwsaaaysa?\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w**2 - 1697*w**3 + w**2 - 378 + 378 - 833*w**3.\nAnswer: -2530*w**3 + 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45\/(-9)*-1*(-9)\/(-30)*2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ehs when three letters picked without replacement from eshseifeseesfeeee?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 12945046 or 0.16?\nAnswer: 12945046","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*p - 10*p - 9. Solve q + h = 5*h - 18, h - 10 = p*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 AM and 4:32 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -78*(64\/(-144))\/((-2)\/(-57)). Let p = f - -182. What is the tens digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9597 (base 12) to base 13.\nAnswer: 75c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 5*d**2. Let p(j) = 6328*j**2. Determine p(v(s)).\nAnswer: 158200*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5271056?\nAnswer: 2, 7, 19, 2477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -13419536, -26839076, -40258616?\n\"Answer: -13419540*u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -12 + 421?\nAnswer: 407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -38769, -80638, -122507?\n\"Answer: -41869*w + 3100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 10bc9 - 3?\nAnswer: 10bc6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5469 + 5469.2. Put 215.1, -0.1, v, -5, -3 in decreasing order.\nAnswer: 215.1, v, -0.1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 198 + 4 + 2*-2. What is the highest common factor of v and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 249792 to the nearest integer?\nAnswer: 500","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 822312513.2685 + 0.08.\nAnswer: 822312513.3485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11189.98 meters to centimeters.\nAnswer: 1118998","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -51021035 (base 6) in base 16?\nAnswer: -161ccf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5 + -1)\/(3 - 2). Let t = -4 + 7. Let g = -3 + t. Sort 3, g, v in ascending order.\nAnswer: g, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 + 13*c**2 - 12*c + 18. Let w be d(-14). Let q = 41 + -25. Let l = q + w. Calculate the greatest common factor of 6 and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 849, 837, 811, 765, 693, 589?\nAnswer: 447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of 24*u**2 - 32\/15*u**3 + 1\/20*u**5 + 2\/5*u**4 + 0 + 1\/600*u**6 + 0*u. Find n, given that i(n) = 0.\nAnswer: -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.044 - 10.556. Let q = n + 1.6. Let h = q + 7. What is the nearest to -2\/3 in h, -0.2, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1271484 divided by 6.\nAnswer: 211914","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 399 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 + 3*o**2 - 5*o + 4. Let v(m) = m + 0*m + m - m. Let b(z) = -u(z) - 2*v(z). Let g = 6 - 3. Determine b(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*n - 8*n. Which is the third smallest value? (a) -1 (b) n (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -d**3*f - 433*d**3 + 20*d**2*f - 2*d*f - 37389*d - 7*f - 2 wrt d.\nAnswer: -6*d*f - 2598*d + 40*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2227 smaller than -18049?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2 + 33. Suppose 204 = 7*o + 64. What is the remainder when -2 - ((-9)\/(45\/o) + -95) is divided by j(0)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(2\/31)*f\/(f\/(f*f\/(f**(2\/19)\/f*f)*f*f*f)))\/(f**2)**(-49))**(-4\/13) assuming f is positive.\nAnswer: f**(-242572\/7657)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 115 = 5*k + 116, -8*u + 2*k - 26 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1612)\/(-13) + (7 - 0). Let i = -125 + t. Solve -2*l - z - 3 = 0, -2*l = 3*l + 2*z + i for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1422.65708 rounded to the nearest ten?\nAnswer: 1420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2211 + 2211.000014318. Round m to five decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -743645 (base 8) in base 2?\nAnswer: -111100011110100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4*((-1)\/3 + (-8)\/48). Find the common denominator of (-1176)\/(-704)*g - (-2)\/22 and 47\/76.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 + 72*n + 261. Calculate y(-4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 109825\/46*(-4)\/(-5) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + 220?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together -120.3 and -5.\nAnswer: -125.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25 - 191. Let y = 220 + z. Which is greater: 0 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 523033.3 kilometers to micrometers.\nAnswer: 523033300000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1636040 and 5565?\nAnswer: 260130360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) -48 (c) -3\/4 (d) 947\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a - 2*a + 5*a + (-2 + 2 - 2)*(a - 3*a + 3*a) + 2*a + a - 5*a - 7*a + 8*a - 8*a)*(a - a - a**3).\nAnswer: 12*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 + 4. What is the tens digit of ((-1)\/1)\/(i\/12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 25, -1, -12, 66 in descending order.\nAnswer: 66, 25, -1, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 4:37 PM?\nAnswer: 10:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -8*w + 7. Let t(a) = -8*a + 5. Let u(n) = -6*s(n) + 7*t(n). Let y(b) = -12*b - 10. Calculate -7*u(q) + 5*y(q).\nAnswer: -4*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 8*x - 0. Let y = -4.6 - -3.6. Which is the nearest to x? (a) -1\/7 (b) y (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 40864\/12285 - 8\/2457. Let j = -17\/5 + y. Is j <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 4*n + w + 10 = 0, 0 = -4*n + 2*w + 12. Let j be ((-4)\/7)\/(n\/(-7)). Suppose j*v = v + 13. Does 13 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**2\/4 + 45*x\/4 + 12.\nAnswer: -3*(x - 16)*(x + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -24161 - -24162. Let p(m) = 63*m**2 - m + 3. Let o(k) = 32*k**2 - k + 2. Let a(c) = -5*o(c) + 3*p(c). Calculate a(g).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of a**2 + 0 + 0*a + 8\/3*a**3 + 1\/24*a**4. Calculate the lowest common multiple of l(-8) and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -31 + 6. Suppose -k + b = 2. Suppose -208 = -4*o + 3*a, -2*a - 20 = k*a. What is the remainder when o is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -378 + 234. Let t be 0\/1 + j\/(-36). Let p(k) = -k**2 + 4*k - 6. Calculate p(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 5 - 15. Suppose 5*a - 5 = -0. Let k(z) = 16*z**3 + z**2. What is the remainder when k(a) is divided by r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 51 = 3*a + 21, -3*a - r = -24. Let p = 11 + -6. Suppose a*o + 20 = 2*o, -p*o = -4*g + 36. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h**3 - h - 3*h**2 + h**2 - 7 + 3 + 0*h**2 to the form p*h**3 + g*h**2 + j*h + v and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 49960 divided by -6\nAnswer: -24980\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (2\/10)\/((-342)\/(-90))*(-305)\/15 and 15\/83.\nAnswer: 4731","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 0*b**2 - 4*b + 2*b**2 + b + b**4 + 0 to h*b**4 + o*b**2 + k*b**3 + w*b + j and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of -i**4\/4 - 5*i**3\/3 + 3*i**2 + i - 4. Let c be b(-6). Solve q = 2 + c for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 329486 rounded to the nearest 10000?\nAnswer: 330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 7*i = -3*k - 2686, 667 = i - 3*k. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 62 + -35. Let c = -14 + s. Let a(i) = 36*i**2 - i. What is the remainder when a(-1) is divided by c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139387 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 433 + -1157. What is the hundreds digit of (-7 + 8)\/((-1)\/p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 375?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*b = -54*b + 30 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - (-1)\/(-4))\/(19\/76). Solve -6 = -r*b, -5*k + 5*b + 2 = -3 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 + v**2 + v - 4. Let g be (0\/(-4))\/(1 - 0) + -3. What are the prime factors of m(g)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23084527 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 647 (b) -0.4 (c) -3 (d) 0 (e) 7770\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rsrs when four letters picked without replacement from rrrrsrsrsrs?\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.080367002 to 2 dps.\nAnswer: 4.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -5*x**3 + 18*x**2 + 9*x + 1. Let u(i) = -9*i**3 + 33*i**2 + 18*i. Calculate 11*b(m) - 6*u(m).\nAnswer: -m**3 - 9*m + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 290304 and 7776?\nAnswer: 870912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37069024.\nAnswer: 2, 1158407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.14, -0.1, 2\/7, -6, -175?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10994587 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10 - 11 - 14)*(0*s**2 - 3*s**3 + 0*s**2 + 2*s**2 - 2*s**3 - 2*s**2 + (-5*s + 5*s + s)*(-2*s**2 - 1 + 1)) to j*s + n*s**2 + z + r*s**3 and give r.\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 6 = 2*k, -4*q - 9*k = -4*k - 30. Solve 0 = 6*h - 4*h - q for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 22588630?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 15) to base 6\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(-2\/3)*v)**10\/(v**0)**(-1\/57) assuming v is positive.\nAnswer: v**(80\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of 2*s**7\/189 + 2*s**6\/27 - 13*s**5\/45 + 7*s**4\/27 + 25*s + 1. Let i(h) = 0. What is h?\nAnswer: -7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 0*k + 3*b = 120, 5*k - 11*b - 120 = 0. Calculate the remainder when 623 is divided by k.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 - 2*r**2 - 2*r + 3. Suppose -3*l - 4*s + 2*s = -17, 3*l = 2*s + 1. Give y(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + c - 149 = -2*c, 4*c = -3*z - 215. Let h = 259 + z. Suppose -8*x = -11*x + h. Does 9 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 AM and 9:54 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2318, 2287, 2254, 2225, 2206, 2203, 2222?\nAnswer: 2269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from ojxnllo.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*k + 16. Let s = -25 + 151\/6. Let o = -9 + 11. Put k, s, o in increasing order.\nAnswer: s, o, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 12 = 4*z, k + 3*k = -2*z for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -139*g + 155*g - 32 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001305823327 to 6 decimal places.\nAnswer: -0.001306","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -3*z**3 - 15*z**2 + 7*z - 12. Is 18 a factor of n(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -66\/7*c - 18\/7 + 14*c**3 - 2*c**2.\nAnswer: 2*(c - 1)*(7*c + 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 3. Let q = 9 + g. List the prime factors of q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + -8. Let o = v + 4. What is the third biggest value in o, 5\/6, -0.07?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/15 (b) -1 (c) -2\/3 (d) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -603*o - 344*o = -8523 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -192.513554 to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-75756)\/(-2)*(-174)\/(-9). Suppose 0 = 5*q - 2*c - 1830758, 3*q + b = 5*q - 2*c. Let j = q - 594150. What is j rounded to the nearest 10000?\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -197*d**3 - d**2 + d + 1. Let c be s(-1). Let w = 370 - c. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 981088 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -69\/29 + 550\/609. What is the common denominator of 6\/9 + (-104)\/15 and s?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -4. Let w be (8\/(-18))\/(4\/6). Which is the third biggest value? (a) 0 (b) p (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9280 or 9272?\nAnswer: 9272","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -17 + 5723a9?\nAnswer: 572392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**2 + 5*m**2 + 0*m**2)*(4*m**2 - m**2 - 5*m**2)*(72 + 3 + 35)*(0 + 0 - 1).\nAnswer: 1100*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4251\/576 + (-11)\/(99\/72) and -25\/18?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 519428130?\nAnswer: 2, 3, 5, 13, 673, 1979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*5*(sqrt(1900) - (0 + sqrt(1900))) - (1 + (sqrt(1900) + 1 + sqrt(1900) - sqrt(1900)) - (sqrt(1900) + 1)*-3))**2.\nAnswer: 400*sqrt(19) + 30425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -0.81?\nAnswer: -0.081","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 30047 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 15*m + 6 = 17*m, 3*p - 5*m + 15 = 0. Suppose -5*w - x + 60 = p, -x + 4 = -1. Solve -13*l = -w*l + 10 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a**3 - 9*a**2 - 17*a + 161. Is v(8) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16853 is divided by 5596.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 3*q**2. Let d(j) = 10741*j. Calculate r(d(x)).\nAnswer: 346107243*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2051 + 473?\nAnswer: 2524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 2 = 3*t + 12, 2*v - 2*t = 4 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.9 and 1.513132.\nAnswer: 1.3618188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s + 7. Let q be k(-5). Let t be 16\/3 - q\/6. Suppose -3*a + 4*h - 8*h - t = 0, -4*h - 9 = -a. Which is smaller: -1\/5 or a?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10178653 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 5*x = 159, -2*x - 168 = -2*o - 4*x. Suppose b + 0*r = r - 45, -5*b - 235 = -3*r. Let a = b + o. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 8*g**2 + 31*g - 6. Let z(a) = -2*a - 2*a + 5*a + 693 - 694 + a**2. What is i(m) - 6*z(m)?\nAnswer: 2*m**2 + 25*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -179 - -449. Let c(l) = 134 + l + 136 - g. Let z(j) = -j**2 - 18. Calculate c(z(p)).\nAnswer: -p**2 - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 + 1. Let s(g) = 2*g**2 - 6*g + 5. Let r(h) = s(h) - 4*x(h). Let v(o) = o**2 + o. Let y(d) = -r(d) - 4*v(d). Determine y(4).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (13 - (-9 - (7 + -2)))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of j**2*z**3 + 2*j**2*z - 2*j**2 + 16*j*z**2 - 226*j*z - 3363148*z**3 + 12803*z wrt z.\nAnswer: 6*j**2*z + 32*j - 20178888*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 3*t = -5*t + 2, -3*r = 3*t - 3. Let f be 1 - (2 - r\/(-2)). Which is smaller: -1\/7 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18430 and 2375?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/20 - 33\/(-5). Let s(z) be the first derivative of -z**3\/3 + 4*z**2 - 4*z - 1. Let k be s(x). Solve -3*a + 2*a - k*p = -1, 0 = 5*a - p - 5 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2 + 10*u - 13. Determine k(10).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 + 7*g + 2. Suppose 2 = -2*u + 12. Suppose u*a = 19 + 11. Calculate n(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/5 - 2\/5. Let j = 27\/8 + -29\/8. What is the third biggest value in j, -0.3, y?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 - 6*o**2 + 8*o + 2. Determine k(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1833 and 29523?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 568 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20059326.\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4153479 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 e when two letters picked without replacement from {e: 1, l: 4, n: 6, d: 2, o: 3}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 935413, 1870782, 2806151?\n\"Answer: 935369*x + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 + 16*a + 23. Is p(17) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -60ac4 - 97?\nAnswer: -60b5b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0069035 to 4 dps.\nAnswer: -0.0069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 403 - -1802. Let n = 4066 - s. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 35 = 7*f. Suppose 4*o + 2*c - 538 = 0, -o + f*c + 155 - 15 = 0. Is 27 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1046224, -2092450, -3138676?\nAnswer: -4184902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/5 - (-5530)\/(-50). Let x = i - -153. Suppose -6*m = -x - 30. Calculate the least common multiple of 12 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x**2 + 8641878*x - 6223504613907 = 0. Calculate x.\nAnswer: 1440313","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/((o*(((o\/o**(-1\/10))\/o)\/o*o)\/o)\/o)*o**(2\/13)*(o**(2\/3))**(-2\/21) assuming o is positive.\nAnswer: o**(16301\/8190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-38)\/133 + 221\/14)*2. Calculate the greatest common factor of 403 and i.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**3 - m**3 + 3*m**3)*(-51558 + 51558 - 703*m**2).\nAnswer: -2812*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3132300431 (base 5) in base 7?\nAnswer: 106314443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.13 - -0.63. Sort 1\/4, q, -4 in descending order.\nAnswer: q, 1\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 433.97 and -129.\nAnswer: 304.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 135 and 32580?\nAnswer: 97740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -n - 3*n + 4*o, 0 = -4*o - 12. Suppose 3*s - 10 = -c + 7*s, -n*s = 2*c - 7. What is the units digit of (50\/c)\/(3\/((-36)\/(-4)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 1 + 5 - d - 7 - 3*d**2. Let c = -996 - -994. Determine j(c).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 539\/5082*96*55\/20?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * 302033\nAnswer: 151016.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -774.5 + 775. Let x = -12 - -62\/5. Put 2\/13, f, x, -1 in descending order.\nAnswer: f, x, 2\/13, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 481 + 1368. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 175.3983kg to grams.\nAnswer: 175398.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 260166?\nAnswer: 2, 3, 131, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 0.01 (b) 1\/4 (c) 14 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 6 + 6 + 9*x.\nAnswer: 9*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 0) + -8 - 2 - -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16014, -17156, -19056, -21714, -25130, -29304?\nAnswer: -34236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 519*d - 520*d = -4*u + 6, -4*u + 12 = -2*d for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*l - 4*l + l)*(660*l + 3397*l + 7 + 13 - 25 + 35*l) as g + a*l + s*l**2 and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/(-3))\/2*1\/8.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1304.\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 268*z - 7. What is y(0)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 440.2981 grams in nanograms?\nAnswer: 440298100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-184)\/69*97\/1164.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26 - 1) + 0 + (20728 - 20662).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2798\/1287 - 9\/143. Let d = 36568259\/36471 + -1\/12157. Let g = d + -1013. Calculate the common denominator of w and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 12:57 PM?\nAnswer: 3:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -6*a**2 - 6*a - 1. Let v be t(-1). Let l(w) = -49*w**3 + 7 - 2 - 4 - w**2. What is the tens digit of l(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -3*n - d, -20*n - 3*d = -15*n - 9 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 + 11*y**2 - 11*y + 12. Let v be h(10). Suppose -5*b - 5*c + 10 = 0, 3*b - v*c - 22 = -6. Solve -b*a + 1 = -5*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -dda - -5?\nAnswer: -dd5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the third derivative of 0*q + 0*q**3 - 66*q**2 + 0 - 1\/24*q**4. Let b(s) = 90*s**2. Give b(i(h)).\nAnswer: 90*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1031 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ymymmyymymmy. What is prob of sequence yym?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 3*j**2. Suppose -5*n + 59 + 21 = 0. Let d(s) = 4*s - 13*s - n + 10*s - 11. What is u(d(m))?\nAnswer: 3*m**2 - 162*m + 2187","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4553.8 (b) 0.2 (c) 3 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of v**3\/3 - 3*v**2\/2 - 2. Let u be x(3). Suppose -2*f + 3*f - 14 = u. Does 14 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-70)\/(-60) + (-5)\/(1950\/(-205))?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from ssbbbbsbbsbbbsbb?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*j = -7*j + 5*p - 75, -j - 3*p + 47 = 18 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 6. Suppose -2*c + d + 9 = 0, -2*c - c + 18 = 3*d. Suppose o*k - 8 = c*k. Let b(p) = 2*p + 6. Determine b(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/(-33) - 0 - (-3066)\/(-77). Let b be (-60)\/k*2\/(-3). Let q(a) = -1188*a**3 + a**2 + 2*a. Is q(b) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**5 + 12*u**4 - 10*u**3 + 8*u**2 + 22. Let z(l) = l**4 + 2. Let d(h) = 4*i(h) - 44*z(h). Find t such that d(t) = 0.\nAnswer: -4, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 265 = -3*w + w, -5*w - 5*o - 715 = 0. Calculate the common denominator of 13\/22 and (278\/w + 2)*-3.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}